##############ECHO OF PROBLEM################# ##############temp/mult_sin_sinpostode.ode################# diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(-(sin(x) * cos(x))/2.0 + x/2.0) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.264789130434852e-177 estimated_step_error 8.264789130434852e-177 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.54640711081085e-169 estimated_step_error 5.54640711081085e-169 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.722132165016696e-161 estimated_step_error 3.722132165016696e-161 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.497882438065287e-153 estimated_step_error 2.497882438065287e-153 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.676302978444555e-145 estimated_step_error 1.676302978444555e-145 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1249511746391186e-137 estimated_step_error 1.1249511746391186e-137 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.549463677467823e-130 estimated_step_error 7.549463677467823e-130 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.066418554253187e-122 estimated_step_error 5.066418554253187e-122 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.400095450684846e-114 estimated_step_error 3.400095450684846e-114 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.2818721527065832e-106 estimated_step_error 2.2818721527065832e-106 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.5314817170988626e-98 estimated_step_error 1.5314817170988626e-98 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0279522306717597e-90 estimated_step_error 1.0279522306717597e-90 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.901050895634196e-83 estimated_step_error 6.901050895634196e-83 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.634679859924864e-75 estimated_step_error 4.634679859924864e-75 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.1149285481487935e-67 estimated_step_error 3.1149285481487935e-67 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.096629870325226e-59 estimated_step_error 2.096629870325226e-59 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4153922171550302e-51 estimated_step_error 1.4153922171550302e-51 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.610763028908711e-44 estimated_step_error 9.610763028908711e-44 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.00033266730123469174 y[1] (numeric) 0.00033266730123469174 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09735458557716262 Order of pole (three term test) 22.960530497001443 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.0004425942297826696 y[1] (numeric) 0.00044259422978266564 absolute error 3.957337929572091e-18 relative error 8.941232540503958e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1064848662664999 Order of pole (three term test) 22.95237583160998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.0005743433932163533 y[1] (numeric) 0.0005743433932163485 absolute error 4.7704895589362195e-18 relative error 8.305988395237258e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11544479388537081 Order of pole (three term test) 22.943497461389644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.0007298620269612227 y[1] (numeric) 0.0007298620269612213 absolute error 1.4094628242311558e-18 relative error 1.9311359848373644e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12422003446093423 Order of pole (three term test) 22.933909589838827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.0009110878589715654 y[1] (numeric) 0.0009110878589715624 absolute error 3.0357660829594124e-18 relative error 3.332023419109306e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13279654948022088 Order of pole (three term test) 22.923627555506712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.0011199483346651107 y[1] (numeric) 0.001119948334665102 absolute error 8.673617379884035e-18 relative error 7.744658491302315e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14116061834875884 Order of pole (three term test) 22.912667807454838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.001358359845970561 y[1] (numeric) 0.0013583598459705542 absolute error 6.7220534694101275e-18 relative error 4.948654430083772e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14929886034059808 Order of pole (three term test) 22.901047878942144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.001628226964796406 y[1] (numeric) 0.0016282269647963968 absolute error 9.107298248878237e-18 relative error 5.593383751642399e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15719825600461715 Order of pole (three term test) 22.888786359375462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.001931441681227497 y[1] (numeric) 0.0019314416812275018 absolute error 4.7704895589362195e-18 relative error 2.469911261262836e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16484616799286825 Order of pole (three term test) 22.875902864570442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.0022698826467543315 y[1] (numeric) 0.002269882646754328 absolute error 3.469446951953614e-18 relative error 1.5284697457441337e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17223036127763788 Order of pole (three term test) 22.862418005370454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.002645414422837389 y[1] (numeric) 0.002645414422837373 absolute error 1.5612511283791264e-17 relative error 5.901726077022659e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17933902272488078 Order of pole (three term test) 22.84835335467358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.003059886735107459 y[1] (numeric) 0.0030598867351074497 absolute error 9.107298248878237e-18 relative error 2.9763514264714777e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18616077999271494 Order of pole (three term test) 22.833731412920653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.0035151337335000976 y[1] (numeric) 0.003515133733500096 absolute error 1.734723475976807e-18 relative error 4.9350141630301617e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1926847197247423 Order of pole (three term test) 22.818575572099288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.004012973258620059 y[1] (numeric) 0.0040129732586200555 absolute error 3.469446951953614e-18 relative error 8.64557705312657e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1989004050090915 Order of pole (three term test) 22.802910078321727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.004555206114629284 y[1] (numeric) 0.004555206114629275 absolute error 9.540979117872439e-18 relative error 2.094521933317371e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20479789207524957 Order of pole (three term test) 22.786759993036227 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.005143615348949249 y[1] (numeric) 0.005143615348949248 absolute error 8.673617379884035e-19 relative error 1.6862881050496718e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21036774620197418 Order of pole (three term test) 22.77015115293407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.005779965539065818 y[1] (numeric) 0.0057799655390658195 absolute error 1.734723475976807e-18 relative error 3.001269582408584e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21560105681083466 Order of pole (three term test) 22.75311012861639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.006466002086721712 y[1] (numeric) 0.006466002086721723 absolute error 1.1275702593849246e-17 relative error 1.743844564635158e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22048945172123688 Order of pole (three term test) 22.73566418208686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.007203450519779164 y[1] (numeric) 0.007203450519779149 absolute error 1.5612511283791264e-17 relative error 2.1673656591271893e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22502511054412636 Order of pole (three term test) 22.717841223138354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.007994015802031629 y[1] (numeric) 0.007994015802031611 absolute error 1.734723475976807e-17 relative error 2.1700275792999283e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22920077719294185 Order of pole (three term test) 22.699669764703145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.00883938165124118 y[1] (numeric) 0.008839381651241162 absolute error 1.734723475976807e-17 relative error 1.9624941476910055e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23300977149180668 Order of pole (three term test) 22.68117887723834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.009741209865673728 y[1] (numeric) 0.009741209865673733 absolute error 5.204170427930421e-18 relative error 5.342427172490126e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23644599986238488 Order of pole (three term test) 22.66239814221939 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.010701139659402004 y[1] (numeric) 0.01070113965940199 absolute error 1.3877787807814457e-17 relative error 1.2968513868166794e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23950396507230626 Order of pole (three term test) 22.643357604815975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.011720787006641559 y[1] (numeric) 0.011720787006641557 absolute error 1.734723475976807e-18 relative error 1.4800400988379275e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24217877502956636 Order of pole (three term test) 22.62408772582619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.012801743995382892 y[1] (numeric) 0.012801743995382878 absolute error 1.3877787807814457e-17 relative error 1.0840544704549359e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2444661506088291 Order of pole (three term test) 22.604619332945713 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.013945578190577235 y[1] (numeric) 0.013945578190577243 absolute error 8.673617379884035e-18 relative error 6.219618334465785e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24636243249711506 Order of pole (three term test) 22.584983571450124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.015153832007131746 y[1] (numeric) 0.01515383200713172 absolute error 2.6020852139652106e-17 relative error 1.7171136731228173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24786458704792172 Order of pole (three term test) 22.56521185436908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.016428022092963734 y[1] (numeric) 0.01642802209296374 absolute error 6.938893903907228e-18 relative error 4.22381578539465e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24897021113440998 Order of pole (three term test) 22.545335812232157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.017769638722362202 y[1] (numeric) 0.017769638722362174 absolute error 2.7755575615628914e-17 relative error 1.561966230675242e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24967753599389578 Order of pole (three term test) 22.52538724246679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.01918014519989747 y[1] (numeric) 0.019180145199897466 absolute error 3.469446951953614e-18 relative error 1.8088741851506736e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499854300574915 Order of pole (three term test) 22.505398058529135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.02066097727511937 y[1] (numeric) 0.020660977275119324 absolute error 4.5102810375396984e-17 relative error 2.182995013973094e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24989340076037625 Order of pole (three term test) 22.48540023884936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.022213542568276068 y[1] (numeric) 0.022213542568276047 absolute error 2.0816681711721685e-17 relative error 9.37116700217403e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24940159532979336 Order of pole (three term test) 22.46542577567297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.023839220007285222 y[1] (numeric) 0.023839220007285188 absolute error 3.469446951953614e-17 relative error 1.4553525454664026e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24851080054951888 Order of pole (three term test) 22.445506623880064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.025539359276180812 y[1] (numeric) 0.025539359276180777 absolute error 3.469446951953614e-17 relative error 1.358470631324483e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24722244150117526 Order of pole (three term test) 22.425674649864316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.02731528027525776 y[1] (numeric) 0.0273152802752577 absolute error 5.898059818321144e-17 relative error 2.1592529012647987e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2455385792844045 Order of pole (three term test) 22.40596158055356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.029168272593129208 y[1] (numeric) 0.029168272593129176 absolute error 3.122502256758253e-17 relative error 1.0705132594975063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2434619077195488 Order of pole (three term test) 22.386398952653458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.031099594990908558 y[1] (numeric) 0.03109959499090852 absolute error 3.8163916471489756e-17 relative error 1.2271515588111785e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24099574903811186 Order of pole (three term test) 22.367018062195505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.03311047489872149 y[1] (numeric) 0.03311047489872146 absolute error 2.7755575615628914e-17 relative error 8.38271746343954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23814404856789875 Order of pole (three term test) 22.347849914470082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.03520210792475051 y[1] (numeric) 0.03520210792475047 absolute error 4.163336342344337e-17 relative error 1.182695181562439e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23491136842133098 Order of pole (three term test) 22.328925174424548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.03737565737700746 y[1] (numeric) 0.03737565737700742 absolute error 4.163336342344337e-17 relative error 1.1139165527843034e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23130288019704198 Order of pole (three term test) 22.31027411760592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.03963225379802596 y[1] (numeric) 0.03963225379802591 absolute error 4.85722573273506e-17 relative error 1.2255739371998554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22732435670642026 Order of pole (three term test) 22.291926581726425 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.041972994512659345 y[1] (numeric) 0.041972994512659303 absolute error 4.163336342344337e-17 relative error 9.91908342657955e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22298216273834479 Order of pole (three term test) 22.273911918929542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.044398943189165485 y[1] (numeric) 0.044398943189165437 absolute error 4.85722573273506e-17 relative error 1.0939957989631499e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.218283244876879 Order of pole (three term test) 22.256258948832823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.04691112941375353 y[1] (numeric) 0.04691112941375347 absolute error 5.551115123125783e-17 relative error 1.1833258317371256e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21323512038821882 Order of pole (three term test) 22.23899591242265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.04951054827876322 y[1] (numeric) 0.049510548278763174 absolute error 4.85722573273506e-17 relative error 9.810486657079682e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2078458651946705 Order of pole (three term test) 22.222150426874695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.05219815998464128 y[1] (numeric) 0.05219815998464121 absolute error 6.938893903907228e-17 relative error 1.3293368781483714e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20212410095489747 Order of pole (three term test) 22.20574944137233 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.054974889455873865 y[1] (numeric) 0.054974889455873796 absolute error 6.938893903907228e-17 relative error 1.2621933345544606e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19607898127110465 Order of pole (three term test) 22.18981919399366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.05784162597102932 y[1] (numeric) 0.05784162597102923 absolute error 9.020562075079397e-17 relative error 1.5595277490292986e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18972017704523014 Order of pole (three term test) 22.17438516973623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.060799222807058406 y[1] (numeric) 0.060799222807058316 absolute error 9.020562075079397e-17 relative error 1.4836640434871097e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1830578610075625 Order of pole (three term test) 22.159472059746424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.06384849689799504 y[1] (numeric) 0.06384849689799496 absolute error 8.326672684688674e-17 relative error 1.3041297899293455e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17610269144254376 Order of pole (three term test) 22.145103721818938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.06699022850819353 y[1] (numeric) 0.06699022850819346 absolute error 6.938893903907228e-17 relative error 1.0358068719020024e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16886579513778735 Order of pole (three term test) 22.131303142229378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.07022516092023326 y[1] (numeric) 0.07022516092023315 absolute error 1.1102230246251565e-16 relative error 1.5809476405276264e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16135874958359214 Order of pole (three term test) 22.11809239896111 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.0735540001376154 y[1] (numeric) 0.0735540001376153 absolute error 9.71445146547012e-17 relative error 1.3207237468111765e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15359356445142744 Order of pole (three term test) 22.105492626385235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.07697741460237123 y[1] (numeric) 0.07697741460237112 absolute error 1.1102230246251565e-16 relative error 1.4422711263557518e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14558266238102016 Order of pole (three term test) 22.09352398145006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.08049603492769392 y[1] (numeric) 0.08049603492769382 absolute error 9.71445146547012e-17 relative error 1.2068235999693884e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13733885910678126 Order of pole (three term test) 22.082205611434297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.08411045364570197 y[1] (numeric) 0.08411045364570183 absolute error 1.3877787807814457e-16 relative error 1.6499480393093338e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12887534295536568 Order of pole (three term test) 22.07155562331553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.0878212249704339 y[1] (numeric) 0.08782122497043375 absolute error 1.5265566588595902e-16 relative error 1.7382548004466168e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12020565374716158 Order of pole (three term test) 22.061591054802854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.09162886457617034 y[1] (numeric) 0.09162886457617023 absolute error 1.1102230246251565e-16 relative error 1.2116520593816123e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11134366113546737 Order of pole (three term test) 22.052327847080257 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.09553384939117116 y[1] (numeric) 0.09553384939117103 absolute error 1.249000902703301e-16 relative error 1.3073909516501998e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1023035424180039 Order of pole (three term test) 22.04378081930402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.09953661740691028 y[1] (numeric) 0.09953661740691015 absolute error 1.249000902703301e-16 relative error 1.2548154993024606e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09309975985626331 Order of pole (three term test) 22.035963644895332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.10363756750288516 y[1] (numeric) 0.10363756750288504 absolute error 1.249000902703301e-16 relative error 1.205162310152185e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08374703753897567 Order of pole (three term test) 22.028888829665668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.10783705928707027 y[1] (numeric) 0.10783705928707014 absolute error 1.249000902703301e-16 relative error 1.1582297504778647e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07426033782670755 Order of pole (three term test) 22.02256769181019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.11213541295207863 y[1] (numeric) 0.11213541295207848 absolute error 1.5265566588595902e-16 relative error 1.361351083187225e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06465483741527707 Order of pole (three term test) 22.01701034380101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.11653290914708905 y[1] (numeric) 0.11653290914708889 absolute error 1.6653345369377348e-16 relative error 1.429068019606146e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0549459030562787 Order of pole (three term test) 22.012225676209464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.12102978886559024 y[1] (numeric) 0.12102978886559008 absolute error 1.5265566588595902e-16 relative error 1.261306553674079e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04514906697355765 Order of pole (three term test) 22.008221343483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.12562625334898667 y[1] (numeric) 0.1256262533489865 absolute error 1.6653345369377348e-16 relative error 1.3256262067383926e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03528000201496627 Order of pole (three term test) 22.005003751699775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.13032246400610453 y[1] (numeric) 0.13032246400610437 absolute error 1.6653345369377348e-16 relative error 1.277856852721667e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02535449657914975 Order of pole (three term test) 22.002578048320267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.13511854234863052 y[1] (numeric) 0.13511854234863035 absolute error 1.6653345369377348e-16 relative error 1.2324988917071555e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01538842935747769 Order of pole (three term test) 22.00094811395243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.14001456994250872 y[1] (numeric) 0.14001456994250855 absolute error 1.6653345369377348e-16 relative error 1.1894008870802064e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.005397743931523225 Order of pole (three term test) 22.00011655614353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.1450105883753153 y[1] (numeric) 0.1450105883753151 absolute error 1.942890293094024e-16 relative error 1.3398265015417012e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0046015767332641 Order of pole (three term test) 22.0000847052087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.15010659923962405 y[1] (numeric) 0.15010659923962383 absolute error 2.220446049250313e-16 relative error 1.4792461227541925e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01459353585689555 Order of pole (three term test) 22.00085261210262 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.15530256413236931 y[1] (numeric) 0.15530256413236912 absolute error 1.942890293094024e-16 relative error 1.2510355536937799e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.024562148436277777 Order of pole (three term test) 22.002419048338083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.1605984046702069 y[1] (numeric) 0.16059840467020672 absolute error 1.6653345369377348e-16 relative error 1.0369558404752175e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03449146681780713 Order of pole (three term test) 22.00478150795126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.16599400252086619 y[1] (numeric) 0.16599400252086596 absolute error 2.220446049250313e-16 relative error 1.3376664310333702e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04436560621021589 Order of pole (three term test) 22.007936211510746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.17148919945048136 y[1] (numeric) 0.17148919945048116 absolute error 1.942890293094024e-16 relative error 1.1329519872503961e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05416877009684554 Order of pole (three term test) 22.011878112163792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.1770837973868832 y[1] (numeric) 0.177083797386883 absolute error 1.942890293094024e-16 relative error 1.0971587021308907e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06388527550670882 Order of pole (three term test) 22.016600903710273 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.18277755849882502 y[1] (numeric) 0.18277755849882482 absolute error 1.942890293094024e-16 relative error 1.0629807669230431e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07349957810389275 Order of pole (three term test) 22.022097030691167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.18857020529111201 y[1] (numeric) 0.18857020529111182 absolute error 1.942890293094024e-16 relative error 1.0303272938026542e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08299629705518424 Order of pole (three term test) 22.028357700475762 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.1944614207155958 y[1] (numeric) 0.19446142071559558 absolute error 2.220446049250313e-16 relative error 1.141843992026452e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09236023963611982 Order of pole (three term test) 22.035372897327942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.20045084829798926 y[1] (numeric) 0.20045084829798904 absolute error 2.220446049250313e-16 relative error 1.1077259428453048e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10157642553610471 Order of pole (three term test) 22.043131398429225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.2065380922804516 y[1] (numeric) 0.20653809228045142 absolute error 1.942890293094024e-16 relative error 9.406934438301261e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11063011082371363 Order of pole (three term test) 22.051620791832924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.21272271777988636 y[1] (numeric) 0.21272271777988613 absolute error 2.220446049250313e-16 relative error 1.0438217753253357e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11950681153383644 Order of pole (three term test) 22.060827496320567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.2190042509618884 y[1] (numeric) 0.2190042509618882 absolute error 2.220446049250313e-16 relative error 1.0138826253362177e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1281923268389316 Order of pole (three term test) 22.070736783128947 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.22538217923027193 y[1] (numeric) 0.22538217923027168 absolute error 2.498001805406602e-16 relative error 1.1083404259989897e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13667276176732232 Order of pole (three term test) 22.081332799513056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.23185595143210166 y[1] (numeric) 0.2318559514321014 absolute error 2.7755575615628914e-16 relative error 1.1971042987765208e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1449345494321863 Order of pole (three term test) 22.09259859410704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.23842497807814686 y[1] (numeric) 0.2384249780781466 absolute error 2.498001805406602e-16 relative error 1.0477097766945584e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1529644727356803 Order of pole (three term test) 22.10451614404279 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.24508863157866928 y[1] (numeric) 0.245088631578669 absolute error 2.7755575615628914e-16 relative error 1.132470952930342e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1607496855134779 Order of pole (three term test) 22.11706638378268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.2518462464944504 y[1] (numeric) 0.25184624649445014 absolute error 2.7755575615628914e-16 relative error 1.1020841486410847e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16827773308589092 Order of pole (three term test) 22.130229235620373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.25869711980295845 y[1] (numeric) 0.25869711980295823 absolute error 2.220446049250313e-16 relative error 8.583188134995696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17553657218270194 Order of pole (three term test) 22.143983641800848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.265640511179548 y[1] (numeric) 0.26564051117954784 absolute error 1.6653345369377348e-16 relative error 6.269128641346896e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18251459020982536 Order of pole (three term test) 22.158307598208335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.2726756432935801 y[1] (numeric) 0.2726756432935799 absolute error 1.6653345369377348e-16 relative error 6.107382811396649e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18920062382698252 Order of pole (three term test) 22.173178189568194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.27980170211934363 y[1] (numeric) 0.2798017021193435 absolute error 1.1102230246251565e-16 relative error 3.967892318795165e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19558397680666365 Order of pole (three term test) 22.188571626106484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.2870178372616556 y[1] (numeric) 0.2870178372616555 absolute error 1.1102230246251565e-16 relative error 3.8681325008140104e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2016544371458104 Order of pole (three term test) 22.20446328160849 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.29432316229600697 y[1] (numeric) 0.29432316229600686 absolute error 1.1102230246251565e-16 relative error 3.7721225063101965e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.207402293402843 Order of pole (three term test) 22.220827732815444 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.30171675512312146 y[1] (numeric) 0.30171675512312124 absolute error 2.220446049250313e-16 relative error 7.359372694911213e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21281835023389395 Order of pole (three term test) 22.237638800096327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.3091976583377821 y[1] (numeric) 0.3091976583377819 absolute error 2.220446049250313e-16 relative error 7.181315865027002e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21789394310339755 Order of pole (three term test) 22.254869589329655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.31676487961178146 y[1] (numeric) 0.3167648796117813 absolute error 1.6653345369377348e-16 relative error 5.2573206315634615e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22262095214549754 Order of pole (three term test) 22.27249253492835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.32441739209083914 y[1] (numeric) 0.3244173920908389 absolute error 2.220446049250313e-16 relative error 6.844411253477349e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22699181515410155 Order of pole (three term test) 22.29047944393882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.33215413480532974 y[1] (numeric) 0.33215413480532957 absolute error 1.6653345369377348e-16 relative error 5.013740195989916e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2309995396807971 Order of pole (three term test) 22.30880154114366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.339974013094657 y[1] (numeric) 0.3399740130946568 absolute error 2.220446049250313e-16 relative error 6.531222869178789e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2346377142212772 Order of pole (three term test) 22.327429515095844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.3478758990451031 y[1] (numeric) 0.3478758990451028 absolute error 2.7755575615628914e-16 relative error 7.978585378238671e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23790051847237917 Order of pole (three term test) 22.34633356501079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.35585863194097894 y[1] (numeric) 0.35585863194097866 absolute error 2.7755575615628914e-16 relative error 7.799607238481242e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24078273264332936 Order of pole (three term test) 22.365483448441307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.3639210187288956 y[1] (numeric) 0.3639210187288953 absolute error 2.7755575615628914e-16 relative error 7.626813013596651e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24327974580629355 Order of pole (three term test) 22.384848529658974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.37206183449496916 y[1] (numeric) 0.3720618344949689 absolute error 2.7755575615628914e-16 relative error 7.459936237024658e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24538756327287894 Order of pole (three term test) 22.404397828664848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.38027982295477014 y[1] (numeric) 0.38027982295476986 absolute error 2.7755575615628914e-16 relative error 7.298724239421484e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24710281298478276 Order of pole (three term test) 22.424100070750825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.3885736969558206 y[1] (numeric) 0.38857369695582034 absolute error 2.7755575615628914e-16 relative error 7.142937320017474e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24842275090836624 Order of pole (three term test) 22.44392373653248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.3969421389924378 y[1] (numeric) 0.3969421389924376 absolute error 2.220446049250313e-16 relative error 5.5938783795706183e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24934526542452343 Order of pole (three term test) 22.463837112373376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 0.40538380173271915 y[1] (numeric) 0.4053838017327189 absolute error 2.7755575615628914e-16 relative error 6.846740174864939e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24986888070682103 Order of pole (three term test) 22.483808341120138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 0.41389730855745666 y[1] (numeric) 0.4138973085574564 absolute error 2.7755575615628914e-16 relative error 6.705908698069227e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999275908250612 Order of pole (three term test) 22.503805473067082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 0.42248125411076665 y[1] (numeric) 0.4224812541107663 absolute error 3.3306690738754696e-16 relative error 7.883590198305534e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24971670237260346 Order of pole (three term test) 22.523796517068895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 0.431134204862213 y[1] (numeric) 0.43113420486221266 absolute error 3.3306690738754696e-16 relative error 7.725364947417997e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24904115220896 Order of pole (three term test) 22.54374949171972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 0.4398546996802006 y[1] (numeric) 0.4398546996802002 absolute error 3.885780586188048e-16 relative error 8.834236826418433e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24796718932772804 Order of pole (three term test) 22.56363247651653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 0.4486412504164081 y[1] (numeric) 0.4486412504164077 absolute error 4.440892098500626e-16 relative error 9.898537181721019e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24649653184041748 Order of pole (three term test) 22.583413662925114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 0.4574923425010277 y[1] (numeric) 0.4574923425010273 absolute error 3.885780586188048e-16 relative error 8.493651642222446e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24463153248528433 Order of pole (three term test) 22.603061405266978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.46640643554857286 y[1] (numeric) 0.4664064355485725 absolute error 3.885780586188048e-16 relative error 8.331318545417824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2423751748634519 Order of pole (three term test) 22.622544271345678 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 0.47538196397401167 y[1] (numeric) 0.4753819639740113 absolute error 3.885780586188048e-16 relative error 8.174017696642098e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2397310686657844 Order of pole (three term test) 22.64183109273161 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 0.4844173376189803 y[1] (numeric) 0.4844173376189799 absolute error 3.885780586188048e-16 relative error 8.021555556387659e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23670344389815193 Order of pole (three term test) 22.660891014624863 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 0.4935109423878251 y[1] (numeric) 0.4935109423878247 absolute error 3.885780586188048e-16 relative error 7.873747575660462e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23329714411432415 Order of pole (three term test) 22.679693545216296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.5026611408932191 y[1] (numeric) 0.5026611408932188 absolute error 3.3306690738754696e-16 relative error 6.626072323706852e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2295176186673164 Order of pole (three term test) 22.698208604467965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 0.5118662731110956 y[1] (numeric) 0.5118662731110951 absolute error 4.440892098500626e-16 relative error 8.675883393350228e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2253709139915883 Order of pole (three term test) 22.716406572234725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 0.5211246570446348 y[1] (numeric) 0.5211246570446344 absolute error 4.440892098500626e-16 relative error 8.52174626256508e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2208636639300378 Order of pole (three term test) 22.73425833565019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 0.5304345893970412 y[1] (numeric) 0.5304345893970408 absolute error 4.440892098500626e-16 relative error 8.372176677898595e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2160030791212681 Order of pole (three term test) 22.751735335701056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 0.5397943462528388 y[1] (numeric) 0.5397943462528384 absolute error 4.440892098500626e-16 relative error 8.227007432235162e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21079693546410372 Order of pole (three term test) 22.76880961291548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 0.5492021837674146 y[1] (numeric) 0.5492021837674141 absolute error 4.440892098500626e-16 relative error 8.086078733403818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20525356167781134 Order of pole (three term test) 22.785453852092232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 0.5586563388645331 y[1] (numeric) 0.5586563388645327 absolute error 4.440892098500626e-16 relative error 7.94923782217655e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1993818259779255 Order of pole (three term test) 22.80164142599921 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 0.5681550299415434 y[1] (numeric) 0.568155029941543 absolute error 4.440892098500626e-16 relative error 7.816338612645114e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1931911218889962 Order of pole (three term test) 22.817346437971324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 0.5776964575819966 y[1] (numeric) 0.5776964575819961 absolute error 5.551115123125783e-16 relative error 9.609051691887643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18669135321695246 Order of pole (three term test) 22.832543763339643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 0.5872788052753879 y[1] (numeric) 0.5872788052753873 absolute error 5.551115123125783e-16 relative error 9.452265386152907e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17989291820512626 Order of pole (three term test) 22.847209089625505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 0.5969002401437371 y[1] (numeric) 0.5969002401437365 absolute error 5.551115123125783e-16 relative error 9.299904322017095e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17280669289928102 Order of pole (three term test) 22.861318955435298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 0.6065589136747153 y[1] (numeric) 0.6065589136747147 absolute error 5.551115123125783e-16 relative error 9.151815261431849e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1654440137482586 Order of pole (three term test) 22.87485078799365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 0.6162529624610248 y[1] (numeric) 0.6162529624610242 absolute error 5.551115123125783e-16 relative error 9.00785142023048e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15781665946807955 Order of pole (three term test) 22.887782939255125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 0.6259805089457375 y[1] (numeric) 0.6259805089457371 absolute error 4.440892098500626e-16 relative error 7.094297721793093e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14993683219851006 Order of pole (three term test) 22.900094720536405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 0.6357396621732929 y[1] (numeric) 0.6357396621732925 absolute error 4.440892098500626e-16 relative error 6.985394120793594e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14181713798224124 Order of pole (three term test) 22.91176643561381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 0.6455285185458544 y[1] (numeric) 0.6455285185458539 absolute error 4.440892098500626e-16 relative error 6.879466934325958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1334705665979101 Order of pole (three term test) 22.92277941223306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 0.6553451625847233 y[1] (numeric) 0.6553451625847229 absolute error 4.440892098500626e-16 relative error 6.776416996786034e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12491047077922462 Order of pole (three term test) 22.933116031980862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 0.6651876676965055 y[1] (numeric) 0.665187667696505 absolute error 5.551115123125783e-16 relative error 8.345186467976584e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11615054485343836 Order of pole (three term test) 22.942759758470658 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 0.6750540969437219 y[1] (numeric) 0.6750540969437213 absolute error 5.551115123125783e-16 relative error 8.223215218244309e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10720480283334792 Order of pole (three term test) 22.951695163797282 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 0.6849425038195585 y[1] (numeric) 0.6849425038195579 absolute error 5.551115123125783e-16 relative error 8.104497957376245e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09808755599786244 Order of pole (three term test) 22.959907953218316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 0.6948509330264429 y[1] (numeric) 0.6948509330264423 absolute error 5.551115123125783e-16 relative error 7.988929508877169e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0888133899970096 Order of pole (three term test) 22.96738498802268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 0.7047774212581371 y[1] (numeric) 0.7047774212581366 absolute error 5.551115123125783e-16 relative error 7.876408857162563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07939714151800764 Order of pole (three term test) 22.974114306549676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 0.7147199979850343 y[1] (numeric) 0.7147199979850337 absolute error 5.551115123125783e-16 relative error 7.766838956200606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06985387454973037 Order of pole (three term test) 22.98008514332518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 0.7246766862423437 y[1] (numeric) 0.724676686242343 absolute error 6.661338147750939e-16 relative error 9.192151857805563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.060198856283538695 Order of pole (three term test) 22.98528794628407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 0.7346455034208507 y[1] (numeric) 0.73464550342085 absolute error 6.661338147750939e-16 relative error 9.06741838986648e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05044753268903112 Order of pole (three term test) 22.989714392051486 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 0.7446244620599338 y[1] (numeric) 0.7446244620599332 absolute error 6.661338147750939e-16 relative error 8.94590291772442e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04061550380378746 Order of pole (three term test) 22.993357399258443 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 0.7546115706425228 y[1] (numeric) 0.7546115706425222 absolute error 6.661338147750939e-16 relative error 8.827505973807247e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0307184987766364 Order of pole (three term test) 22.996211139870557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 0.7646048343916785 y[1] (numeric) 0.7646048343916778 absolute error 6.661338147750939e-16 relative error 8.712131872734909e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02077235070437301 Order of pole (three term test) 22.99827104851161 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 0.7746022560684771 y[1] (numeric) 0.7746022560684764 absolute error 6.661338147750939e-16 relative error 8.59968854410625e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010792971302181062 Order of pole (three term test) 22.999533829767195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 0.7846018367708795 y[1] (numeric) 0.7846018367708787 absolute error 7.771561172376096e-16 relative error 9.905101935984325e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0007963254482833878 Order of pole (three term test) 22.999997463456687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 0.7946015767332646 y[1] (numeric) 0.7946015767332638 absolute error 7.771561172376096e-16 relative error 9.78045022805799e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00920159435645784 Order of pole (three term test) 22.999661207865085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 0.80459947612631 y[1] (numeric) 0.8045994761263092 absolute error 7.771561172376096e-16 relative error 9.658919006251102e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019184793573130833 Order of pole (three term test) 22.998525600929607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 0.8145935358568962 y[1] (numeric) 0.8145935358568954 absolute error 7.771561172376096e-16 relative error 9.540415962423455e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.029137301212624533 Order of pole (three term test) 22.99659245937909 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 0.8245817583677175 y[1] (numeric) 0.8245817583677167 absolute error 7.771561172376096e-16 relative error 9.424852167188511e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03904319538580409 Order of pole (three term test) 22.99386487582765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 0.8345621484362783 y[1] (numeric) 0.8345621484362776 absolute error 6.661338147750939e-16 relative error 7.981835936643315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04888662877513714 Order of pole (three term test) 22.990347213827107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 0.8445327139729556 y[1] (numeric) 0.8445327139729549 absolute error 6.661338147750939e-16 relative error 7.887602265179102e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.058651853987021295 Order of pole (three term test) 22.98604510088627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 0.854491466817808 y[1] (numeric) 0.8544914668178073 absolute error 6.661338147750939e-16 relative error 7.795675447243816e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06832324874425438 Order of pole (three term test) 22.9809654194681 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 0.8644364235358133 y[1] (numeric) 0.8644364235358126 absolute error 6.661338147750939e-16 relative error 7.705989667237757e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0778853408783457 Order of pole (three term test) 22.97511629597926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 0.8743656062102163 y[1] (numeric) 0.8743656062102156 absolute error 6.661338147750939e-16 relative error 7.618481445791693e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08732283308168495 Order of pole (three term test) 22.9685070877696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 0.8842770432336687 y[1] (numeric) 0.8842770432336681 absolute error 6.661338147750939e-16 relative error 7.533089543285466e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09662062737997104 Order of pole (three term test) 22.96114836816235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 0.8941687700968461 y[1] (numeric) 0.8941687700968455 absolute error 6.661338147750939e-16 relative error 7.449754867897544e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10576384928575039 Order of pole (three term test) 22.95305190953912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 0.9040388301742255 y[1] (numeric) 0.9040388301742248 absolute error 6.661338147750939e-16 relative error 7.368420387946359e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1147378715944238 Order of pole (three term test) 22.94423066450654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 0.9138852755067091 y[1] (numeric) 0.9138852755067084 absolute error 6.661338147750939e-16 relative error 7.28903104829818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12352833778465322 Order of pole (three term test) 22.934698745174916 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 0.9237061675807823 y[1] (numeric) 0.9237061675807816 absolute error 6.661338147750939e-16 relative error 7.211533690629359e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13212118498573394 Order of pole (three term test) 22.92447140058179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 0.9334995781038932 y[1] (numeric) 0.9334995781038925 absolute error 6.661338147750939e-16 relative error 7.135876977342962e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14050266647518692 Order of pole (three term test) 22.913564992296795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 0.9432635897757439 y[1] (numeric) 0.9432635897757431 absolute error 7.771561172376096e-16 relative error 8.239013205443184e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14865937367058324 Order of pole (three term test) 22.90199696824662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 0.9529962970551848 y[1] (numeric) 0.9529962970551841 absolute error 7.771561172376096e-16 relative error 8.154870272204291e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15657825758041494 Order of pole (three term test) 22.88978583480204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 0.9626958069224063 y[1] (numeric) 0.9626958069224055 absolute error 7.771561172376096e-16 relative error 8.072706992690254e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16424664967969826 Order of pole (three term test) 22.87695112717165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 0.9723602396361206 y[1] (numeric) 0.9723602396361198 absolute error 7.771561172376096e-16 relative error 7.992471159952397e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17165228217691056 Order of pole (three term test) 22.86351337814974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 0.9819877294854339 y[1] (numeric) 0.9819877294854331 absolute error 7.771561172376096e-16 relative error 7.914112304079838e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17878330763984038 Order of pole (three term test) 22.849494085268166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 0.9915764255361055 y[1] (numeric) 0.9915764255361047 absolute error 7.771561172376096e-16 relative error 7.83758162480953e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18562831794895132 Order of pole (three term test) 22.83491567640493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 1.0011244923708968 y[1] (numeric) 1.0011244923708962 absolute error 6.661338147750939e-16 relative error 6.65385593751216e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1921763625479399 Order of pole (three term test) 22.819801473904313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 1.0106301108237143 y[1] (numeric) 1.0106301108237137 absolute error 6.661338147750939e-16 relative error 6.591272193860931e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19841696596228908 Order of pole (three term test) 22.80417565726612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 1.0200914787072508 y[1] (numeric) 1.0200914787072501 absolute error 6.661338147750939e-16 relative error 6.530138018790991e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20434014455779403 Order of pole (three term test) 22.788063224463656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 1.029506811533837 y[1] (numeric) 1.0295068115338364 absolute error 6.661338147750939e-16 relative error 6.470416779298793e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20993642251224576 Order of pole (three term test) 22.771489951952262 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 1.0388743432292125 y[1] (numeric) 1.0388743432292118 absolute error 6.661338147750939e-16 relative error 6.41207302034719e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21519684697472605 Order of pole (three term test) 22.7544823534325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 1.0481923268389322 y[1] (numeric) 1.0481923268389315 absolute error 6.661338147750939e-16 relative error 6.355072420573574e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22011300238825923 Order of pole (three term test) 22.737067637433928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 1.0574590352271247 y[1] (numeric) 1.0574590352271238 absolute error 8.881784197001252e-16 relative error 8.399175666500965e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22467702395290734 Order of pole (three term test) 22.719273663787195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 1.066672761767323 y[1] (numeric) 1.0666727617673222 absolute error 8.881784197001252e-16 relative error 8.326625105046665e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22888161020777287 Order of pole (three term test) 22.701128899054282 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 1.0758318210250937 y[1] (numeric) 1.0758318210250928 absolute error 8.881784197001252e-16 relative error 8.25573665272175e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23272003471177885 Order of pole (three term test) 22.682662370988094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 1.0849345494321871 y[1] (numeric) 1.084934549432186 absolute error 1.1102230246251565e-15 relative error 1.0233087564648064e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.236186156804539 Order of pole (three term test) 22.663903622094228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 1.0939793059519423 y[1] (numeric) 1.0939793059519414 absolute error 8.881784197001252e-16 relative error 8.118786295754138e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2392744314301047 Order of pole (three term test) 22.64488266236924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 1.102964472735681 y[1] (numeric) 1.1029644727356802 absolute error 8.881784197001252e-16 relative error 8.052647584352174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2419799180078719 Order of pole (three term test) 22.625629921291125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 1.1118884557698248 y[1] (numeric) 1.1118884557698239 absolute error 8.881784197001252e-16 relative error 7.988017278992144e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24429828833645606 Order of pole (three term test) 22.60617619913856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 1.1207496855134784 y[1] (numeric) 1.1207496855134778 absolute error 6.661338147750939e-16 relative error 5.943644895781529e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24622583351789049 Order of pole (three term test) 22.58655261771709 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 1.1295466175262276 y[1] (numeric) 1.1295466175262268 absolute error 8.881784197001252e-16 relative error 7.863140891389567e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24775946989107267 Order of pole (three term test) 22.566790570570838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 1.1382777330858918 y[1] (numeric) 1.1382777330858909 absolute error 8.881784197001252e-16 relative error 7.802826971693958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24889674396496383 Order of pole (three term test) 22.54692167275958 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 1.1469415397959948 y[1] (numeric) 1.146941539795994 absolute error 8.881784197001252e-16 relative error 7.743885707183511e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24963583634365136 Order of pole (three term test) 22.526977710281322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 1.1555365721827027 y[1] (numeric) 1.1555365721827018 absolute error 8.881784197001252e-16 relative error 7.686285670928075e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499755646369938 Order of pole (three term test) 22.506990589221555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 1.164061392280994 y[1] (numeric) 1.164061392280993 absolute error 8.881784197001252e-16 relative error 7.629996369519031e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24991538535219346 Order of pole (three term test) 22.486992284710276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 1.1725145902098262 y[1] (numeric) 1.1725145902098253 absolute error 8.881784197001252e-16 relative error 7.574988210092824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2494553947632685 Order of pole (three term test) 22.467014789768633 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 1.18089478473607 y[1] (numeric) 1.1808947847360691 absolute error 8.881784197001252e-16 relative error 7.521232468637188e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2485963287570349 Order of pole (three term test) 22.44709006412689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 1.1892006238269832 y[1] (numeric) 1.1892006238269826 absolute error 6.661338147750939e-16 relative error 5.6015259446416985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24733956165584522 Order of pole (three term test) 22.427249983095688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 1.1974307851910069 y[1] (numeric) 1.1974307851910064 absolute error 4.440892098500626e-16 relative error 3.708683753100804e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24568710401896526 Order of pole (three term test) 22.40752628657237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 1.2055839768066638 y[1] (numeric) 1.2055839768066636 absolute error 2.220446049250313e-16 relative error 1.8418012282576975e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2436415994261085 Order of pole (three term test) 22.387950528263847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 1.2136589374393498 y[1] (numeric) 1.2136589374393496 absolute error 2.220446049250313e-16 relative error 1.8295469845384594e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24120632024827254 Order of pole (three term test) 22.368554025207498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 1.2216544371458105 y[1] (numeric) 1.2216544371458105 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23838516241264332 Order of pole (three term test) 22.349367807670504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 1.229569277766103 y[1] (numeric) 1.229569277766103 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23518263916994306 Order of pole (three term test) 22.33042256950808 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 1.2374022934028428 y[1] (numeric) 1.237402293402843 absolute error 2.220446049250313e-16 relative error 1.794441517595794e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2316038738741915 Order of pole (three term test) 22.31174861905986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 1.2451523508875486 y[1] (numeric) 1.245152350887549 absolute error 4.440892098500626e-16 relative error 3.566545166408869e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22765459178643263 Order of pole (three term test) 22.29337583066299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 1.2528183502338934 y[1] (numeric) 1.252818350233894 absolute error 6.661338147750939e-16 relative error 5.31708219831495e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22334111091553815 Order of pole (three term test) 22.275333596859582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 1.2603992250776848 y[1] (numeric) 1.2603992250776856 absolute error 8.881784197001252e-16 relative error 7.046802330788345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21867033191074156 Order of pole (three term test) 22.257650781374924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.2678939431033964 y[1] (numeric) 1.2678939431033975 absolute error 1.1102230246251565e-15 relative error 8.756434484635898e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21364972702207044 Order of pole (three term test) 22.24035567294166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.2753015064570805 y[1] (numeric) 1.2753015064570818 absolute error 1.3322676295501878e-15 relative error 1.0446687491582796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2082873281463419 Order of pole (three term test) 22.223475940043848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.2826209521454963 y[1] (numeric) 1.2826209521454977 absolute error 1.3322676295501878e-15 relative error 1.0387072091108799e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2025917139778395 Order of pole (three term test) 22.20703858665332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.2898513524212933 y[1] (numeric) 1.289851352421295 absolute error 1.5543122344752192e-15 relative error 1.205032061684847e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19657199628423302 Order of pole (three term test) 22.191069909029043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.2969918151541002 y[1] (numeric) 1.2969918151541018 absolute error 1.5543122344752192e-15 relative error 1.1983978744619494e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19023780532969461 Order of pole (three term test) 22.17559545364874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.3040414841873624 y[1] (numeric) 1.3040414841873642 absolute error 1.7763568394002505e-15 relative error 1.3621935045319668e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18359927446852944 Order of pole (three term test) 22.16063997633999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.3109995396807954 y[1] (numeric) 1.3109995396807974 absolute error 1.9984014443252818e-15 relative error 1.524334207479475e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17666702393397107 Order of pole (three term test) 22.146227402676164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.3178651984383092 y[1] (numeric) 1.3178651984383112 absolute error 1.9984014443252818e-15 relative error 1.5163929108177517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16945214384807342 Order of pole (three term test) 22.13238078970058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.3246377142212753 y[1] (numeric) 1.3246377142212775 absolute error 2.220446049250313e-15 relative error 1.676266669302605e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16196617647988132 Order of pole (three term test) 22.11912228904023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.331316378047014 y[1] (numeric) 1.3313163780470165 absolute error 2.4424906541753444e-15 relative error 1.834643285736766e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15422109778026322 Order of pole (three term test) 22.106473111467842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.3379005184723771 y[1] (numeric) 1.3379005184723798 absolute error 2.6645352591003757e-15 relative error 1.9915795100690732e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14622929822294276 Order of pole (three term test) 22.09445349296918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.3443895018623158 y[1] (numeric) 1.3443895018623186 absolute error 2.886579864025407e-15 relative error 2.1471306195315955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13800356298238572 Order of pole (three term test) 22.083082662369787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.350782732643327 y[1] (numeric) 1.35078273264333 absolute error 2.886579864025407e-15 relative error 2.1369682882877109e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12955705148024702 Order of pole (three term test) 22.07237881057298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.3570796535416745 y[1] (numeric) 1.3570796535416776 absolute error 3.1086244689504383e-15 relative error 2.2906720772340987e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12090327633310309 Order of pole (three term test) 22.06235906145827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.363279745806291 y[1] (numeric) 1.3632797458062942 absolute error 3.1086244689504383e-15 relative error 2.2802542754069083e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11205608173514997 Order of pole (three term test) 22.053039444486807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.3693825294162718 y[1] (numeric) 1.3693825294162751 absolute error 3.3306690738754696e-15 relative error 2.4322415412260574e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10302962131044269 Order of pole (three term test) 22.044434869057664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.3753875632728763 y[1] (numeric) 1.3753875632728798 absolute error 3.552713678800501e-15 relative error 2.5830636932229146e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09383833547011938 Order of pole (three term test) 22.036559100655982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.3812944453759624 y[1] (numeric) 1.381294445375966 absolute error 3.552713678800501e-15 relative error 2.5720176394639155e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08449692831082112 Order of pole (three term test) 22.02942473883114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.38710281298478 y[1] (numeric) 1.3871028129847838 absolute error 3.774758283725532e-15 relative error 2.721325519918004e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07502034409127555 Order of pole (three term test) 22.02304319704012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.3928123427630639 y[1] (numeric) 1.3928123427630679 absolute error 3.9968028886505635e-15 relative error 2.869591807839452e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06542374332467026 Order of pole (three term test) 22.017424684388487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.3984227509083633 y[1] (numeric) 1.3984227509083673 absolute error 3.9968028886505635e-15 relative error 2.858079136694815e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.055722478525066454 Order of pole (three term test) 22.012578189297923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.4039337932655584 y[1] (numeric) 1.4039337932655627 absolute error 4.218847493575595e-15 relative error 3.005018836224841e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0459320696466511 Order of pole (three term test) 22.008511465126702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.4093452654245204 y[1] (numeric) 1.4093452654245247 absolute error 4.218847493575595e-15 relative error 2.993480445903936e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03606817925511949 Order of pole (three term test) 22.00523101776599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.4146570028018717 y[1] (numeric) 1.4146570028018761 absolute error 4.440892098500626e-15 relative error 3.139200590464677e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0261465874709147 Order of pole (three term test) 22.002742095231753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.4198688807068178 y[1] (numeric) 1.4198688807068225 absolute error 4.6629367034256575e-15 relative error 3.2840614839761995e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016183166724397242 Order of pole (three term test) 22.001048679269136 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.424980814391022 y[1] (numeric) 1.4249808143910268 absolute error 4.6629367034256575e-15 relative error 3.2722803397310325e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006193856363345865 Order of pole (three term test) 22.000153478982394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 1.429992759082503 y[1] (numeric) 1.4299927590825077 absolute error 4.6629367034256575e-15 relative error 3.260811408875554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0038053628466018408 Order of pole (three term test) 22.000057926501054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 1.4349047100035432 y[1] (numeric) 1.434904710003548 absolute error 4.6629367034256575e-15 relative error 3.2496490330804917e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013798494287762066 Order of pole (three term test) 22.0007621746887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 1.4397167023726003 y[1] (numeric) 1.4397167023726052 absolute error 4.884981308350689e-15 relative error 3.3930156539133145e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.023769551081583365 Order of pole (three term test) 22.002265096898444 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 1.4444288113902202 y[1] (numeric) 1.444428811390225 absolute error 4.884981308350689e-15 relative error 3.381946738966691e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03370258166424194 Order of pole (three term test) 22.00456428877536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 1.4490411522089568 y[1] (numeric) 1.449041152208962 absolute error 5.10702591327572e-15 relative error 3.5244174435559916e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04358169530573796 Order of pole (three term test) 22.007656072102936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 1.4535538798873144 y[1] (numeric) 1.4535538798873195 absolute error 5.10702591327572e-15 relative error 3.5134754782338293e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05339108753167731 Order of pole (three term test) 22.011535500687366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 1.4579671893277248 y[1] (numeric) 1.45796718932773 absolute error 5.10702591327572e-15 relative error 3.502840084920287e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06311506540705723 Order of pole (three term test) 22.016196368270506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 1.4622813151985892 y[1] (numeric) 1.4622813151985943 absolute error 5.10702591327572e-15 relative error 3.492505758088105e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07273807264161504 Order of pole (three term test) 22.02163121845846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 1.4664965318404142 y[1] (numeric) 1.4664965318404195 absolute error 5.329070518200751e-15 relative error 3.6338787051292304e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08224471447657423 Order of pole (three term test) 22.02783135665034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 1.4706131531560798 y[1] (numeric) 1.470613153156085 absolute error 5.329070518200751e-15 relative error 3.6237065517631505e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09161978231297409 Order of pole (three term test) 22.034786863947613 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 1.4746315324852812 y[1] (numeric) 1.4746315324852868 absolute error 5.551115123125783e-15 relative error 3.7644082612082557e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10084827804218502 Order of pole (three term test) 22.042486613022415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 1.478552062463199 y[1] (numeric) 1.4785520624632045 absolute error 5.551115123125783e-15 relative error 3.754426552878959e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10991543803967961 Order of pole (three term test) 22.050918285918716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 1.4823751748634488 y[1] (numeric) 1.4823751748634544 absolute error 5.551115123125783e-15 relative error 3.7447437175525634e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1188067567836871 Order of pole (three term test) 22.06006839375857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 1.4861013404253793 y[1] (numeric) 1.4861013404253849 absolute error 5.551115123125783e-15 relative error 3.735354361188343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1275080100609304 Order of pole (three term test) 22.069922298321327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 1.4897310686657812 y[1] (numeric) 1.489731068665787 absolute error 5.773159728050814e-15 relative error 3.875303301032257e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13600527772233464 Order of pole (three term test) 22.08046423546176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 1.4932649076750886 y[1] (numeric) 1.4932649076750943 absolute error 5.773159728050814e-15 relative error 3.8661323241294334e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14428496595229479 Order of pole (three term test) 22.091677340329266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 1.496703443898149 y[1] (numeric) 1.4967034438981548 absolute error 5.773159728050814e-15 relative error 3.857250246591721e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1523338290158824 Order of pole (three term test) 22.103543674348057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 1.5000473018996539 y[1] (numeric) 1.5000473018996598 absolute error 5.995204332975845e-15 relative error 3.9966768550455327e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16013899044919502 Order of pole (three term test) 22.11604425391505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 1.5032971441143212 y[1] (numeric) 1.5032971441143272 absolute error 5.995204332975845e-15 relative error 3.988036800607351e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16768796365895167 Order of pole (three term test) 22.129159080769586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 1.5064536705819298 y[1] (numeric) 1.506453670581936 absolute error 6.217248937900877e-15 relative error 4.127076098861512e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17496867189837834 Order of pole (three term test) 22.142867173986385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 1.5095176186673136 y[1] (numeric) 1.5095176186673198 absolute error 6.217248937900877e-15 relative error 4.1186991533029014e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18196946758742674 Order of pole (three term test) 22.157146603540532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 1.5124897627654246 y[1] (numeric) 1.5124897627654308 absolute error 6.217248937900877e-15 relative error 4.1106056324859395e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18867915094641816 Order of pole (three term test) 22.17197452539085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 1.5153709139915856 y[1] (numeric) 1.515370913991592 absolute error 6.439293542825908e-15 relative error 4.2493184232132246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19508698791330092 Order of pole (three term test) 22.18732721802552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 1.5181619198570555 y[1] (numeric) 1.5181619198570622 absolute error 6.661338147750939e-15 relative error 4.3877652710312654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2011827273158603 Order of pole (three term test) 22.203180120411368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 1.5208636639300352 y[1] (numeric) 1.520863663930042 absolute error 6.661338147750939e-15 relative error 4.3799706086326637e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20695661727140696 Order of pole (three term test) 22.21950787128636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 1.5234770654822525 y[1] (numeric) 1.5234770654822594 absolute error 6.8833827526759706e-15 relative error 4.518205694482873e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2123994207877099 Order of pole (three term test) 22.236284349732177 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 1.5260030791212658 y[1] (numeric) 1.5260030791212724 absolute error 6.661338147750939e-15 relative error 4.365219335983783e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2175024305402122 Order of pole (three term test) 22.253482716962075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 1.528442694408633 y[1] (numeric) 1.5284426944086398 absolute error 6.8833827526759706e-15 relative error 4.503526875987463e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22225748280189422 Order of pole (three term test) 22.271075459257286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 1.5307969354641013 y[1] (numeric) 1.5307969354641082 absolute error 6.8833827526759706e-15 relative error 4.4966008183110793e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22665697050349426 Order of pole (three term test) 22.28903443198306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 1.5330668605559725 y[1] (numeric) 1.5330668605559794 absolute error 6.8833827526759706e-15 relative error 4.4899429566820624e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2306938554031969 Order of pole (three term test) 22.307330904614066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 1.5352535616778091 y[1] (numeric) 1.535253561677816 absolute error 6.8833827526759706e-15 relative error 4.483547815484911e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23436167934631877 Order of pole (three term test) 22.325935606697133 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 1.5373581641116523 y[1] (numeric) 1.5373581641116592 absolute error 6.8833827526759706e-15 relative error 4.4774099577852554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2376545745969785 Order of pole (three term test) 22.34481877467774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 1.5393818259779235 y[1] (numeric) 1.5393818259779306 absolute error 7.105427357601002e-15 relative error 4.615766691338671e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2405672732252217 Order of pole (three term test) 22.36395019951531 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 1.5413257377721925 y[1] (numeric) 1.5413257377721996 absolute error 7.105427357601002e-15 relative error 4.609945311022362e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24309511553458585 Order of pole (three term test) 22.383299275011225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 1.5431911218889944 y[1] (numeric) 1.5431911218890015 absolute error 7.105427357601002e-15 relative error 4.604372884742473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2452340575166202 Order of pole (three term test) 22.402835046772303 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 1.544979232132888 y[1] (numeric) 1.544979232132895 absolute error 7.105427357601002e-15 relative error 4.599043928759973e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24698067732043677 Order of pole (three term test) 22.422526261731132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 1.5466913532169508 y[1] (numeric) 1.546691353216958 absolute error 7.105427357601002e-15 relative error 4.593952984105382e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24833218072694177 Order of pole (three term test) 22.44234141814434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 1.5483288002489117 y[1] (numeric) 1.548328800248919 absolute error 7.327471962526033e-15 relative error 4.732503820472795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24928640561899018 Order of pole (three term test) 22.462248815988673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 1.5498929182051246 y[1] (numeric) 1.549892918205132 absolute error 7.327471962526033e-15 relative error 4.727727881363388e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2498418254403118 Order of pole (three term test) 22.482216607674268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 1.5513850813925958 y[1] (numeric) 1.5513850813926031 absolute error 7.327471962526033e-15 relative error 4.723180627693384e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999755163767595 Order of pole (three term test) 22.502212848993995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 1.5528066928992796 y[1] (numeric) 1.552806692899287 absolute error 7.327471962526033e-15 relative error 4.718856504182596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24975333508238645 Order of pole (three term test) 22.522205550227383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 1.5541591840328621 y[1] (numeric) 1.5541591840328697 absolute error 7.549516567451064e-15 relative error 4.857621178714106e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24910956646883495 Order of pole (three term test) 22.54216272731734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 1.5554440137482575 y[1] (numeric) 1.5554440137482648 absolute error 7.327471962526033e-15 relative error 4.710855484196139e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24806727568947348 Order of pole (three term test) 22.562052453037822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 1.556662668064044 y[1] (numeric) 1.5566626680640514 absolute error 7.327471962526033e-15 relative error 4.707167527592155e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24662813018720517 Order of pole (three term test) 22.581842908070595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 1.5578166594680785 y[1] (numeric) 1.557816659468086 absolute error 7.549516567451064e-15 relative error 4.846216351305982e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2447944322878325 Order of pole (three term test) 22.60150243190935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 1.5589075263125198 y[1] (numeric) 1.5589075263125274 absolute error 7.549516567451064e-15 relative error 4.842825145189263e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2425691155168264 Order of pole (three term test) 22.62099957350973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 1.5599368321985092 y[1] (numeric) 1.5599368321985168 absolute error 7.549516567451064e-15 relative error 4.839629664241656e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23995573990631155 Order of pole (three term test) 22.64030314160438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 1.5609061653507503 y[1] (numeric) 1.5609061653507579 absolute error 7.549516567451064e-15 relative error 4.836624221901652e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2369584862997744 Order of pole (three term test) 22.65938225460219 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 1.5618171379822408 y[1] (numeric) 1.5618171379822483 absolute error 7.549516567451064e-15 relative error 4.833803128325583e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2335821496636054 Order of pole (three term test) 22.678206389992383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 1.562671385649408 y[1] (numeric) 1.5626713856494157 absolute error 7.549516567451064e-15 relative error 4.831160688537001e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22983213141617553 Order of pole (three term test) 22.69674543317392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 1.5634705665979096 y[1] (numeric) 1.5634705665979174 absolute error 7.771561172376096e-15 relative error 4.970711530110161e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2257144307867197 Order of pole (three term test) 22.714969725632493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 1.564216361099356 y[1] (numeric) 1.5642163610993638 absolute error 7.771561172376096e-15 relative error 4.968341570672564e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22123563521784892 Order of pole (three term test) 22.732850112387815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 1.5649104707792243 y[1] (numeric) 1.5649104707792323 absolute error 7.993605777301127e-15 relative error 5.108027536757951e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21640290982704807 Order of pole (three term test) 22.75035798863536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 1.5655546179362319 y[1] (numeric) 1.5655546179362398 absolute error 7.993605777301127e-15 relative error 5.105925839775921e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2112239859440161 Order of pole (three term test) 22.76746534550795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 1.5661505448534383 y[1] (numeric) 1.5661505448534463 absolute error 7.993605777301127e-15 relative error 5.103983013362981e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20570714874218723 Order of pole (three term test) 22.784144814883952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 1.5667000131013566 y[1] (numeric) 1.5667000131013646 absolute error 7.993605777301127e-15 relative error 5.102192960014985e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1998612239842224 Order of pole (three term test) 22.800369713170475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 1.567204802833348 y[1] (numeric) 1.567204802833356 absolute error 7.993605777301127e-15 relative error 5.100549566240159e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19369556390267 Order of pole (three term test) 22.816114083991373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 1.5676667120735845 y[1] (numeric) 1.5676667120735925 absolute error 7.993605777301127e-15 relative error 5.099046701532511e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18722003223838984 Order of pole (three term test) 22.83135273971196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 1.5680875559978626 y[1] (numeric) 1.5680875559978709 absolute error 8.215650382226158e-15 relative error 5.239280390180812e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1804449884606717 Order of pole (three term test) 22.84606130173383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 1.5684691662075585 y[1] (numeric) 1.5684691662075665 absolute error 7.993605777301127e-15 relative error 5.096437946962687e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17338127119429442 Order of pole (three term test) 22.860216239495397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 1.56881338999701 y[1] (numeric) 1.568813389997018 absolute error 7.993605777301127e-15 relative error 5.095319703585882e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1660401808800381 Order of pole (three term test) 22.873794908115798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 1.5691220896146256 y[1] (numeric) 1.5691220896146336 absolute error 7.993605777301127e-15 relative error 5.094317281113763e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15843346169638992 Order of pole (three term test) 22.886775584621873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 1.5693971415180081 y[1] (numeric) 1.5693971415180163 absolute error 8.215650382226158e-15 relative error 5.234908465730685e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15057328277136342 Order of pole (three term test) 22.89913750270028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 1.569640435623398 y[1] (numeric) 1.5696404356234062 absolute error 8.215650382226158e-15 relative error 5.234097055459222e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14247221871448998 Order of pole (three term test) 22.910860885919167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 1.569853874549731 y[1] (numeric) 1.5698538745497392 absolute error 8.215650382226158e-15 relative error 5.233385422310461e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13414322950012558 Order of pole (three term test) 22.921926979366223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 1.5700393728576167 y[1] (numeric) 1.570039372857625 absolute error 8.215650382226158e-15 relative error 5.232767103969448e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1255996397342572 Order of pole (three term test) 22.932318079652585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 1.5701988562835396 y[1] (numeric) 1.5701988562835476 absolute error 7.993605777301127e-15 relative error 5.090823843943545e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1168551173379749 Order of pole (three term test) 22.942017563234437 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 1.5703342609695896 y[1] (numeric) 1.5703342609695976 absolute error 7.993605777301127e-15 relative error 5.090384879182056e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10792365168171383 Order of pole (three term test) 22.951009913007173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 1.5704475326890321 y[1] (numeric) 1.5704475326890401 absolute error 7.993605777301127e-15 relative error 5.09001772482899e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09881953120524661 Order of pole (three term test) 22.959280743129405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 1.5705406260680237 y[1] (numeric) 1.570540626068032 absolute error 8.215650382226158e-15 relative error 5.231097015805767e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0895573205592266 Order of pole (three term test) 22.9668168220373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 1.5706155038037883 y[1] (numeric) 1.5706155038037966 absolute error 8.215650382226158e-15 relative error 5.23084762777976e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0801518373048547 Order of pole (three term test) 22.97360609361222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 1.5706741358795644 y[1] (numeric) 1.5706741358795726 absolute error 8.215650382226158e-15 relative error 5.230652364199951e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07061812820894177 Order of pole (three term test) 22.979637696467925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 1.5707184987766374 y[1] (numeric) 1.5707184987766456 absolute error 8.215650382226158e-15 relative error 5.230504631240393e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06097144517229172 Order of pole (three term test) 22.984901981326548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 1.5707505746837744 y[1] (numeric) 1.5707505746837824 absolute error 7.993605777301127e-15 relative error 5.089035717150962e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.051227220829913926 Order of pole (three term test) 22.989390526455274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 1.570772350704374 y[1] (numeric) 1.5707723507043823 absolute error 8.215650382226158e-15 relative error 5.23032531005658e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04140104386209924 Order of pole (three term test) 22.99309615113942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 1.5707858180616532 y[1] (numeric) 1.5707858180616612 absolute error 7.993605777301127e-15 relative error 5.088921535569517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03150863405585687 Order of pole (three term test) 22.99601292716999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 1.5707929713021822 y[1] (numeric) 1.5707929713021902 absolute error 7.993605777301127e-15 relative error 5.088898361108946e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021565817156608522 Order of pole (three term test) 22.998136188327525 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 1.5707958074980948 y[1] (numeric) 1.5707958074981028 absolute error 7.993605777301127e-15 relative error 5.088889172700967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01158849955037193 Order of pole (three term test) 22.999462537847112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 1.5707963254482846 y[1] (numeric) 1.5707963254482926 absolute error 7.993605777301127e-15 relative error 5.088887494704227e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0015926428169361262 Order of pole (three term test) 22.999989853852487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 1.5707965248789124 y[1] (numeric) 1.5707965248789206 absolute error 8.215650382226158e-15 relative error 5.230244816628606e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008405761805261093 Order of pole (three term test) 22.999717292750507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) 1.5707984056435433 y[1] (numeric) 1.5707984056435513 absolute error 7.993605777301127e-15 relative error 5.088880755532861e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.018390719001703464 Order of pole (three term test) 22.998645290580793 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 1.5708039669232305 y[1] (numeric) 1.5708039669232385 absolute error 7.993605777301127e-15 relative error 5.088862738842189e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028346254970887223 Order of pole (three term test) 22.99677556231814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 1.5708152064268703 y[1] (numeric) 1.5708152064268783 absolute error 7.993605777301127e-15 relative error 5.088826326989897e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03825644297899612 Order of pole (three term test) 22.99411109912891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 1.5708341195921456 y[1] (numeric) 1.5708341195921536 absolute error 7.993605777301127e-15 relative error 5.088765056476238e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04810542883927792 Order of pole (three term test) 22.990656163585818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 1.5708626987873766 y[1] (numeric) 1.5708626987873846 absolute error 7.993605777301127e-15 relative error 5.088672474985733e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.057877456275360985 Order of pole (three term test) 22.986416282848733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 1.5709029325146004 y[1] (numeric) 1.5709029325146084 absolute error 7.993605777301127e-15 relative error 5.088542144679478e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06755689212793567 Order of pole (three term test) 22.981398239822354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 1.570956804614197 y[1] (numeric) 1.570956804614205 absolute error 7.993605777301127e-15 relative error 5.088367645642703e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07712825136447407 Order of pole (three term test) 22.975610062305076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) 1.5710262934713788 y[1] (numeric) 1.5710262934713868 absolute error 7.993605777301127e-15 relative error 5.088142579484305e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0865762218519787 Order of pole (three term test) 22.969061010146177 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) 1.5711133712248637 y[1] (numeric) 1.5711133712248717 absolute error 7.993605777301127e-15 relative error 5.087860573084673e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09588568885312908 Order of pole (three term test) 22.961761560432052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) 1.5712200029780459 y[1] (numeric) 1.5712200029780536 absolute error 7.771561172376096e-15 relative error 4.946195413529677e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10504175920663725 Order of pole (three term test) 22.953723390725116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) 1.5713481460129795 y[1] (numeric) 1.5713481460129874 absolute error 7.993605777301127e-15 relative error 5.087100396932087e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11402978515312832 Order of pole (three term test) 22.94495936038219 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) 1.5714997490074938 y[1] (numeric) 1.5714997490075018 absolute error 7.993605777301127e-15 relative error 5.086609643017518e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12283538776843113 Order of pole (three term test) 22.935483489982246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) 1.5716767512557464 y[1] (numeric) 1.5716767512557543 absolute error 7.993605777301127e-15 relative error 5.086036788998982e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13144447996678973 Order of pole (three term test) 22.92531093889652 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) 1.571881081892532 y[1] (numeric) 1.5718810818925402 absolute error 8.215650382226158e-15 relative error 5.226636083904377e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13984328903719495 Order of pole (three term test) 22.914457981036726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) 1.5721146591216548 y[1] (numeric) 1.572114659121663 absolute error 8.215650382226158e-15 relative error 5.225859535471965e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1480183786767847 Order of pole (three term test) 22.90294197882025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) 1.5723793894486715 y[1] (numeric) 1.5723793894486797 absolute error 8.215650382226158e-15 relative error 5.224979694694955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1559566704860616 Order of pole (three term test) 22.89078135539405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y[1] (analytic) 1.5726771669183153 y[1] (numeric) 1.5726771669183235 absolute error 8.215650382226158e-15 relative error 5.223990374531125e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16364546489154266 Order of pole (three term test) 22.87799556516145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y[1] (analytic) 1.573009872356903 y[1] (numeric) 1.573009872356911 absolute error 7.993605777301127e-15 relative error 5.081726388229204e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1710724614623681 Order of pole (three term test) 22.864605062659347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) 1.5733793726200291 y[1] (numeric) 1.5733793726200371 absolute error 7.993605777301127e-15 relative error 5.080532970246065e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17822577858836575 Order of pole (three term test) 22.850631269835258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) 1.5737875198458493 y[1] (numeric) 1.5737875198458573 absolute error 7.993605777301127e-15 relative error 5.079215381047177e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18509397248809364 Order of pole (three term test) 22.836096541776776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) 1.5742361507142495 y[1] (numeric) 1.5742361507142575 absolute error 7.993605777301127e-15 relative error 5.077767889953698e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19166605551644889 Order of pole (three term test) 22.82102413094822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y[1] (analytic) 1.574727085712198 y[1] (numeric) 1.574727085712206 absolute error 7.993605777301127e-15 relative error 5.076184851221936e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1979315137425557 Order of pole (three term test) 22.805438149991655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y[1] (analytic) 1.575262128405576 y[1] (numeric) 1.5752621284055839 absolute error 7.993605777301127e-15 relative error 5.074460709210326e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20388032376981216 Order of pole (three term test) 22.789363533151754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) 1.5758430647177735 y[1] (numeric) 1.5758430647177815 absolute error 7.993605777301127e-15 relative error 5.072590003581827e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20950296877118613 Order of pole (three term test) 22.772825996386413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) 1.576471662215346 y[1] (numeric) 1.576471662215354 absolute error 7.993605777301127e-15 relative error 5.07056737453058e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21479045371410949 Order of pole (three term test) 22.755851996226625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) 1.5771496694010099 y[1] (numeric) 1.577149669401018 absolute error 8.215650382226158e-15 relative error 5.209176111577542e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21973431975060978 Order of pole (three term test) 22.73846868745172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y[1] (analytic) 1.577878815014265 y[1] (numeric) 1.5778788150142733 absolute error 8.215650382226158e-15 relative error 5.206768925503245e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22432665774966418 Order of pole (three term test) 22.720703879647505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y[1] (analytic) 1.5786608073399222 y[1] (numeric) 1.5786608073399304 absolute error 8.215650382226158e-15 relative error 5.20418974362815e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2285601209501204 Order of pole (three term test) 22.702585992716834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) 1.5794973335248117 y[1] (numeric) 1.57949733352482 absolute error 8.215650382226158e-15 relative error 5.201433524355552e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23242793671394843 Order of pole (three term test) 22.684144011413853 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) 1.5803900589029474 y[1] (numeric) 1.5803900589029556 absolute error 8.215650382226158e-15 relative error 5.198495356221857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23592391736101628 Order of pole (three term test) 22.66540743897458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y[1] (analytic) 1.581340626329415 y[1] (numeric) 1.5813406263294232 absolute error 8.215650382226158e-15 relative error 5.195370463159608e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23904247006805812 Order of pole (three term test) 22.64640624991798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y[1] (analytic) 1.5823506555232523 y[1] (numeric) 1.5823506555232605 absolute error 8.215650382226158e-15 relative error 5.192054209696905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24177860581599828 Order of pole (three term test) 22.627170842093182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y[1] (analytic) 1.5834217424195827 y[1] (numeric) 1.583421742419591 absolute error 8.43769498715119e-15 relative error 5.328772973811628e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24412794737131782 Order of pole (three term test) 22.60773198804936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) 1.5845554585312631 y[1] (numeric) 1.5845554585312716 absolute error 8.43769498715119e-15 relative error 5.324960348798492e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2460867362886946 Order of pole (three term test) 22.588120785806268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) 1.585753350320299 y[1] (numeric) 1.5857533503203074 absolute error 8.43769498715119e-15 relative error 5.320937827718856e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2476518389237133 Order of pole (three term test) 22.568368609103974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y[1] (analytic) 1.5870169385792805 y[1] (numeric) 1.587016938579289 absolute error 8.43769498715119e-15 relative error 5.316701279007602e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2488207514460288 Order of pole (three term test) 22.548507057211644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y[1] (analytic) 1.588347717823086 y[1] (numeric) 1.5883477178230945 absolute error 8.43769498715119e-15 relative error 5.312246740729728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2495916038449601 Order of pole (three term test) 22.5285679043754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) 1.589747155691096 y[1] (numeric) 1.5897471556911043 absolute error 8.215650382226158e-15 relative error 5.16789751931001e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24996316292110848 Order of pole (three term test) 22.508583048986317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) 1.5912166923601558 y[1] (numeric) 1.5912166923601643 absolute error 8.43769498715119e-15 relative error 5.302668723664572e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24993483425921395 Order of pole (three term test) 22.488584462549802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) 1.592757739968526 y[1] (numeric) 1.5927577399685344 absolute error 8.43769498715119e-15 relative error 5.297538210247796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24950666317909237 Order of pole (three term test) 22.468604138538023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) 1.5943716820510443 y[1] (numeric) 1.5943716820510527 absolute error 8.43769498715119e-15 relative error 5.292175646456981e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24867933466313372 Order of pole (three term test) 22.44867404120716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) 1.596059872985731 y[1] (numeric) 1.5960598729857394 absolute error 8.43769498715119e-15 relative error 5.286577984926649e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.247454172260476 Order of pole (three term test) 22.4288260544614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) 1.5978236374520551 y[1] (numeric) 1.5978236374520636 absolute error 8.43769498715119e-15 relative error 5.280742373173444e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24583313596960973 Order of pole (three term test) 22.409091930845555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) 1.5996642699010812 y[1] (numeric) 1.5996642699010897 absolute error 8.43769498715119e-15 relative error 5.27466615708867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24381881910279732 Order of pole (three term test) 22.389503240747665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) 1.6015830340377053 y[1] (numeric) 1.6015830340377137 absolute error 8.43769498715119e-15 relative error 5.268346884194419e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24141444413732788 Order of pole (three term test) 22.370091321893188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) 1.6035811623151899 y[1] (numeric) 1.6035811623151983 absolute error 8.43769498715119e-15 relative error 5.26178230665242e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2386238575602401 Order of pole (three term test) 22.350887229211313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) 1.6056598554421997 y[1] (numeric) 1.6056598554422081 absolute error 8.43769498715119e-15 relative error 5.254970384015389e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23545152371476394 Order of pole (three term test) 22.331921685153667 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) 1.6078202819025338 y[1] (numeric) 1.6078202819025422 absolute error 8.43769498715119e-15 relative error 5.247909285711252e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2319025176583239 Order of pole (three term test) 22.31322503054498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) 1.6100635774877474 y[1] (numeric) 1.6100635774877559 absolute error 8.43769498715119e-15 relative error 5.240597393251324e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.227982517043529 Order of pole (three term test) 22.29482717604422 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) 1.6123908448428508 y[1] (numeric) 1.6123908448428594 absolute error 8.659739592076221e-15 relative error 5.370744704842473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2236977930351411 Order of pole (three term test) 22.27675755429393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) 1.6148031530252662 y[1] (numeric) 1.6148031530252749 absolute error 8.659739592076221e-15 relative error 5.362721503145793e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21905520027754755 Order of pole (three term test) 22.259045072834247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 1.6173015370772186 y[1] (numeric) 1.6173015370772272 absolute error 8.659739592076221e-15 relative error 5.354437248434247e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21406216592879382 Order of pole (three term test) 22.241718067857054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) 1.6198869976117325 y[1] (numeric) 1.6198869976117412 absolute error 8.659739592076221e-15 relative error 5.345891167003402e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20872667777871395 Order of pole (three term test) 22.224804258874077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 1.6225605004124006 y[1] (numeric) 1.6225605004124095 absolute error 8.881784197001252e-15 relative error 5.473930984233747e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20305727147017133 Order of pole (three term test) 22.20833070437162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 1.6253229760470835 y[1] (numeric) 1.6253229760470924 absolute error 8.881784197001252e-15 relative error 5.464627232799272e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1970630168438506 Order of pole (three term test) 22.19232375852269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 1.6281753194956938 y[1] (numeric) 1.6281753194957027 absolute error 8.881784197001252e-15 relative error 5.455053943301555e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19075350342844805 Order of pole (three term test) 22.176809029026035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 1.631118389792217 y[1] (numeric) 1.6311183897922261 absolute error 9.103828801926284e-15 relative error 5.58134152548301e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18413882509947047 Order of pole (three term test) 22.161811336139213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 1.6341530096811092 y[1] (numeric) 1.6341530096811185 absolute error 9.325873406851315e-15 relative error 5.706854469319968e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17722956393118783 Order of pole (three term test) 22.147354672971492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 1.6372799652882102 y[1] (numeric) 1.6372799652882195 absolute error 9.325873406851315e-15 relative error 5.695955245631851e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17003677326757258 Order of pole (three term test) 22.133462167100024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 1.6405000058063035 y[1] (numeric) 1.6405000058063128 absolute error 9.325873406851315e-15 relative error 5.684774991675578e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1625719600393064 Order of pole (three term test) 22.120156043570635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 1.6438138431954492 y[1] (numeric) 1.6438138431954588 absolute error 9.547918011776346e-15 relative error 5.808393724934157e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15484706635514597 Order of pole (three term test) 22.107457589342477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 1.6472221518982102 y[1] (numeric) 1.6472221518982197 absolute error 9.547918011776346e-15 relative error 5.796375431676661e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14687445039709607 Order of pole (three term test) 22.09538711923345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 1.6507255685698827 y[1] (numeric) 1.6507255685698923 absolute error 9.547918011776346e-15 relative error 5.784073496873408e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13866686664995598 Order of pole (three term test) 22.083963943420844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 1.6543246918238441 y[1] (numeric) 1.6543246918238537 absolute error 9.547918011776346e-15 relative error 5.771489755889485e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1302374454968633 Order of pole (three term test) 22.07320633654914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 1.6580200819921145 y[1] (numeric) 1.6580200819921243 absolute error 9.769962616701378e-15 relative error 5.892547818216259e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12159967221348218 Order of pole (three term test) 22.063131508494497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 1.6618122609012322 y[1] (numeric) 1.661812260901242 absolute error 9.769962616701378e-15 relative error 5.879101295956826e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11276736539443913 Order of pole (three term test) 22.053755576832625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 1.6657017116635295 y[1] (numeric) 1.6657017116635393 absolute error 9.769962616701378e-15 relative error 5.865373462901803e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1037546548465202 Order of pole (three term test) 22.045093541054076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 1.6696888784838944 y[1] (numeric) 1.6696888784839041 absolute error 9.769962616701378e-15 relative error 5.851367127493039e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09457595898399289 Order of pole (three term test) 22.037159258568316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 1.6737741664820942 y[1] (numeric) 1.673774166482104 absolute error 9.769962616701378e-15 relative error 5.837085320318746e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0852459617622196 Order of pole (three term test) 22.02996542253475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 1.6779579415307337 y[1] (numeric) 1.6779579415307437 absolute error 9.992007221626409e-15 relative error 5.954861545880644e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07577958918646188 Order of pole (three term test) 22.023523541556436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 1.682240530108911 y[1] (numeric) 1.682240530108921 absolute error 9.992007221626409e-15 relative error 5.93970186949396e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06619198543345615 Order of pole (three term test) 22.01784392126874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 1.686622219171629 y[1] (numeric) 1.6866222191716391 absolute error 1.021405182655144e-14 relative error 6.055921539779068e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05649848862396095 Order of pole (three term test) 22.012935647852533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 1.6911032560350188 y[1] (numeric) 1.691103256035029 absolute error 1.021405182655144e-14 relative error 6.039874732722963e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04671460628503511 Order of pole (three term test) 22.008806573498248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 1.6956838482774155 y[1] (numeric) 1.695683848277426 absolute error 1.0436096431476471e-14 relative error 6.154506007755e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.036855990541304715 Order of pole (three term test) 22.005463303844017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 1.7003641636563303 y[1] (numeric) 1.7003641636563407 absolute error 1.0436096431476471e-14 relative error 6.137565501871967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026938413074899872 Order of pole (three term test) 22.002911187408102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 1.705144330041349 y[1] (numeric) 1.7051443300413596 absolute error 1.0658141036401503e-14 relative error 6.250579994095308e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016977739894130362 Order of pole (three term test) 22.001154307032376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 1.7100244353629868 y[1] (numeric) 1.7100244353629974 absolute error 1.0658141036401503e-14 relative error 6.232741951514336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006989905951254899 Order of pole (three term test) 22.000195473350654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 1.715004527577516 y[1] (numeric) 1.715004527577527 absolute error 1.0880185641326534e-14 relative error 6.344114820906654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0030091103500422306 Order of pole (three term test) 22.00003622029231 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 1.720084614647786 y[1] (numeric) 1.7200846146477968 absolute error 1.0880185641326534e-14 relative error 6.325378152140743e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013003312716688729 Order of pole (three term test) 22.000676802628227 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 1.725264664540036 y[1] (numeric) 1.725264664540047 absolute error 1.0880185641326534e-14 relative error 6.30638641418373e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02297671255688023 Order of pole (three term test) 22.00211619556335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 1.73054460523671 y[1] (numeric) 1.7305446052367208 absolute error 1.0880185641326534e-14 relative error 6.287145450283441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03291335455841808 Order of pole (three term test) 22.004352096376014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 1.7359243247652616 y[1] (numeric) 1.7359243247652725 absolute error 1.0880185641326534e-14 relative error 6.267661260405343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04279734221380374 Order of pole (three term test) 22.007380928101902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 1.7414036712429422 y[1] (numeric) 1.7414036712429535 absolute error 1.1324274851176597e-14 relative error 6.502957951784836e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05261286325125998 Order of pole (three term test) 22.01119784525637 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 1.7469824529375524 y[1] (numeric) 1.7469824529375637 absolute error 1.1324274851176597e-14 relative error 6.482191525241034e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06234421493099321 Order of pole (three term test) 22.01579674158619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 1.7526604383441309 y[1] (numeric) 1.7526604383441424 absolute error 1.1546319456101628e-14 relative error 6.587881601875089e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07197582916622668 Order of pole (three term test) 22.021170259838286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 1.7584373562775553 y[1] (numeric) 1.7584373562775666 absolute error 1.1324274851176597e-14 relative error 6.439964898805955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08149229742881932 Order of pole (three term test) 22.02730980352974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 1.7643128959810102 y[1] (numeric) 1.7643128959810217 absolute error 1.1546319456101628e-14 relative error 6.544371739504592e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09087839539962164 Order of pole (three term test) 22.034205550700353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 1.7702867072502881 y[1] (numeric) 1.7702867072503 absolute error 1.176836406102666e-14 relative error 6.647716447753236e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10011910732414162 Order of pole (three term test) 22.041846469625664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 1.7763584005738657 y[1] (numeric) 1.7763584005738775 absolute error 1.176836406102666e-14 relative error 6.624994177540299e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1091996500345469 Order of pole (three term test) 22.05022033646536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) 1.7825275472887023 y[1] (numeric) 1.7825275472887143 absolute error 1.199040866595169e-14 relative error 6.726633024095249e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11810549659957983 Order of pole (three term test) 22.059313754818845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) 1.7887936797517006 y[1] (numeric) 1.7887936797517128 absolute error 1.2212453270876722e-14 relative error 6.827200592844174e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12682239956454883 Order of pole (three term test) 22.06911217715656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) 1.7951562915267567 y[1] (numeric) 1.7951562915267691 absolute error 1.2434497875801753e-14 relative error 6.926693756133276e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1353364137442169 Order of pole (three term test) 22.07959992809299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) 1.8016148375873287 y[1] (numeric) 1.8016148375873413 absolute error 1.2656542480726785e-14 relative error 7.025110038323211e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14363391853212293 Order of pole (three term test) 22.090760229463914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) 1.8081687345344393 y[1] (numeric) 1.808168734534452 absolute error 1.2656542480726785e-14 relative error 6.999646791252336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1517016396906455 Order of pole (three term test) 22.10257522716786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) 1.814817360830028 y[1] (numeric) 1.8148173608300409 absolute error 1.2878587085651816e-14 relative error 7.096354356981489e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15952667058695394 Order of pole (three term test) 22.11502601972891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) 1.821560057045558 y[1] (numeric) 1.821560057045571 absolute error 1.3100631690576847e-14 relative error 7.191984496972967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16709649284086459 Order of pole (three term test) 22.12809268853499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) 1.8283961261257786 y[1] (numeric) 1.8283961261257917 absolute error 1.3100631690576847e-14 relative error 7.165094862859949e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17439899635158057 Order of pole (three term test) 22.141754329703424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) 1.8353248336675385 y[1] (numeric) 1.8353248336675516 absolute error 1.3100631690576847e-14 relative error 7.13804523878086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18142249867126908 Order of pole (three term test) 22.155989087522656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) 1.8423454082135364 y[1] (numeric) 1.8423454082135498 absolute error 1.3322676295501878e-14 relative error 7.231367275705619e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18815576369448572 Order of pole (three term test) 22.17077418941678 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) 1.849457041560895 y[1] (numeric) 1.8494570415609084 absolute error 1.3322676295501878e-14 relative error 7.203560826834818e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19458801963354677 Order of pole (three term test) 22.18608598237674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) 1.85665888908443 y[1] (numeric) 1.8566588890844433 absolute error 1.3322676295501878e-14 relative error 7.175618727719909e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20070897625109102 Order of pole (three term test) 22.20189997080014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) 1.8639500700744893 y[1] (numeric) 1.8639500700745029 absolute error 1.354472090042691e-14 relative error 7.266675818137993e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20650884132226502 Order of pole (three term test) 22.218190855678984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) 1.8713296680892255 y[1] (numeric) 1.8713296680892395 absolute error 1.3988810110276972e-14 relative error 7.475331764798367e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2119783363001931 Order of pole (three term test) 22.234932575072662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) 1.8787967313211607 y[1] (numeric) 1.8787967313211749 absolute error 1.4210854715202004e-14 relative error 7.563806386446607e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21710871115967462 Order of pole (three term test) 22.252098345801528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) 1.8863502729778956 y[1] (numeric) 1.8863502729779098 absolute error 1.4210854715202004e-14 relative error 7.533518519213281e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2218917583953552 Order of pole (three term test) 22.269660706294236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) 1.893989271676814 y[1] (numeric) 1.8939892716768285 absolute error 1.4432899320127035e-14 relative error 7.620370155185246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22631982615198723 Order of pole (three term test) 22.28759156052045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) 1.9017126718536232 y[1] (numeric) 1.9017126718536377 absolute error 1.4432899320127035e-14 relative error 7.589421648044816e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23038583046576414 Order of pole (three term test) 22.30586222293845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) 1.9095193841845635 y[1] (numeric) 1.9095193841845781 absolute error 1.4654943925052066e-14 relative error 7.674676699503775e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23408326659715176 Order of pole (three term test) 22.324443464385894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) 1.9174082860221247 y[1] (numeric) 1.9174082860221398 absolute error 1.509903313490213e-14 relative error 7.874709442414449e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23740621943708434 Order of pole (three term test) 22.34330555884026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) 1.9253782218440905 y[1] (numeric) 1.9253782218441056 absolute error 1.509903313490213e-14 relative error 7.842112767038864e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24034937296987638 Order of pole (three term test) 22.362418330974112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) 1.9334280037157303 y[1] (numeric) 1.9334280037157456 absolute error 1.532107773982716e-14 relative error 7.924307349631107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24290801877771517 Order of pole (three term test) 22.381751204429214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) 1.9415564117649586 y[1] (numeric) 1.9415564117649744 absolute error 1.5765166949677223e-14 relative error 8.119860362618053e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2450780635731234 Order of pole (three term test) 22.40127325073217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) 1.9497621946702677 y[1] (numeric) 1.9497621946702837 absolute error 1.5987211554602254e-14 relative error 8.199569977458671e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24685603574734638 Order of pole (three term test) 22.420953238773375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) 1.9580440701612385 y[1] (numeric) 1.9580440701612545 absolute error 1.5987211554602254e-14 relative error 8.164888522292432e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24823909092418595 Order of pole (three term test) 22.44075968477013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) 1.966400725531432 y[1] (numeric) 1.9664007255314484 absolute error 1.6431300764452317e-14 relative error 8.356028631962417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24922501651039536 Order of pole (three term test) 22.460660902633986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) 1.9748308181634555 y[1] (numeric) 1.974830818163472 absolute error 1.6431300764452317e-14 relative error 8.320358692666659e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24981223523535603 Order of pole (three term test) 22.480625054661736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) 1.9833329760659897 y[1] (numeric) 1.9833329760660063 absolute error 1.6653345369377348e-14 relative error 8.396646236583956e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999980767437477 Order of pole (three term test) 22.500620202468934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) 1.9919057984225685 y[1] (numeric) 1.9919057984225854 absolute error 1.687538997430238e-14 relative error 8.471981951991078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24978743375156248 Order of pole (three term test) 22.520614358084476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) 2.000547856151887 y[1] (numeric) 2.0005478561519037 absolute error 1.687538997430238e-14 relative error 8.435384298560442e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2491754532198917 Order of pole (three term test) 22.54057553512458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) 2.009257692479412 y[1] (numeric) 2.009257692479429 absolute error 1.7319479184152442e-14 relative error 8.61983967958849e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24816484511766407 Order of pole (three term test) 22.56047179996414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) 2.018033823520078 y[1] (numeric) 2.018033823520095 absolute error 1.7319479184152442e-14 relative error 8.582353269947622e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24675722620225837 Order of pole (three term test) 22.580271322823723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) 2.026874738871815 y[1] (numeric) 2.026874738871833 absolute error 1.7763568394002505e-14 relative error 8.764018838130045e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24495484836366327 Order of pole (three term test) 22.59994242869042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) 2.035778902219695 y[1] (numeric) 2.0357789022197132 absolute error 1.8207657603852567e-14 relative error 8.943828617145012e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24276059502193353 Order of pole (three term test) 22.619453647991122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 2.044744751950433 y[1] (numeric) 2.044744751950452 absolute error 1.865174681370263e-14 relative error 9.12179713184796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24017797651433379 Order of pole (three term test) 22.63877376693714 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 2.053770701777015 y[1] (numeric) 2.0537707017770335 absolute error 1.865174681370263e-14 relative error 9.081708487497801e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23721112447954668 Order of pole (three term test) 22.657871877459524 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 2.0628551413731873 y[1] (numeric) 2.0628551413732064 absolute error 1.9095836023552692e-14 relative error 9.25699320352718e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2338647852479334 Order of pole (three term test) 22.67671742665553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 2.071996437017571 y[1] (numeric) 2.0719964370175905 absolute error 1.9539925233402755e-14 relative error 9.430482062762859e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23014431224841692 Order of pole (three term test) 22.695280265666586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 2.081192932247125 y[1] (numeric) 2.0811929322471445 absolute error 1.9539925233402755e-14 relative error 9.388810105320185e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2260556574441378 Order of pole (three term test) 22.713530697910148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 2.0904429485197094 y[1] (numeric) 2.0904429485197293 absolute error 1.9984014443252818e-14 relative error 9.559703342970426e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22160536181058307 Order of pole (three term test) 22.731439526587838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 2.099744785885482 y[1] (numeric) 2.099744785885502 absolute error 1.9984014443252818e-14 relative error 9.517354003012978e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21680054487142061 Order of pole (three term test) 22.74897810139412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 2.1090967236668523 y[1] (numeric) 2.1090967236668727 absolute error 2.042810365310288e-14 relative error 9.68571209839386e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21164889330878012 Order of pole (three term test) 22.76611836435067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 2.118497021146734 y[1] (numeric) 2.1184970211467546 absolute error 2.042810365310288e-14 relative error 9.642734188054335e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20615864866620154 Order of pole (three term test) 22.782832894693147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 2.1279439182648052 y[1] (numeric) 2.1279439182648257 absolute error 2.042810365310288e-14 relative error 9.599925767668078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2003385941639232 Order of pole (three term test) 22.79909495273858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 2.137435636321509 y[1] (numeric) 2.1374356363215297 absolute error 2.0872192862952943e-14 relative error 9.765062633125009e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19419804064760324 Order of pole (three term test) 22.814878522663147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 2.146970378689512 y[1] (numeric) 2.1469703786895327 absolute error 2.0872192862952943e-14 relative error 9.721695776582213e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18774681169295304 Order of pole (three term test) 22.83015835412196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 2.1565463315323283 y[1] (numeric) 2.1565463315323496 absolute error 2.1316282072803006e-14 relative error 9.884453564072875e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1809952278901112 Order of pole (three term test) 22.844910002644205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 2.1661616645298345 y[1] (numeric) 2.166161664529856 absolute error 2.1316282072803006e-14 relative error 9.840577654867558e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17395409033290127 Order of pole (three term test) 22.859109868739093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 2.175814531610367 y[1] (numeric) 2.175814531610389 absolute error 2.1760371282653068e-14 relative error 1.0001023049766906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16663466333938545 Order of pole (three term test) 22.872735235650026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 2.185503071689132 y[1] (numeric) 2.185503071689154 absolute error 2.1760371282653068e-14 relative error 9.95668757666623e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1590486564313589 Order of pole (three term test) 22.885764305696515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 2.1952254094126107 y[1] (numeric) 2.195225409412633 absolute error 2.220446049250313e-14 relative error 1.0114888611117392e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15120820560161277 Order of pole (three term test) 22.8981762351459 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 2.2049796559086774 y[1] (numeric) 2.2049796559086996 absolute error 2.220446049250313e-14 relative error 1.007014302059518e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14312585389893415 Order of pole (three term test) 22.909951167558777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 2.2147639095421225 y[1] (numeric) 2.2147639095421447 absolute error 2.220446049250313e-14 relative error 1.0025655735510723e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1348145313619044 Order of pole (three term test) 22.92107026555514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 2.224576256675282 y[1] (numeric) 2.2245762566753045 absolute error 2.2648549702353193e-14 relative error 1.0181062408803354e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.126287534333595 Order of pole (three term test) 22.931515740950157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 2.2344147724334666 y[1] (numeric) 2.2344147724334893 absolute error 2.2648549702353193e-14 relative error 1.0136233425312978e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11755850419025575 Order of pole (three term test) 22.941270883211427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 2.2442775214748854 y[1] (numeric) 2.2442775214749084 absolute error 2.3092638912203256e-14 relative error 1.028956476693993e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1086414055180221 Order of pole (three term test) 22.950320086192335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 2.2541625587647576 y[1] (numeric) 2.254162558764781 absolute error 2.353672812205332e-14 relative error 1.0441451097010076e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09955050377255685 Order of pole (three term test) 22.958648873098497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 2.2640679303533005 y[1] (numeric) 2.2640679303533244 absolute error 2.398081733190338e-14 relative error 1.0591915997927347e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09030034245736361 Order of pole (three term test) 22.966243919647575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 2.2739916741572825 y[1] (numeric) 2.273991674157307 absolute error 2.4424906541753444e-14 relative error 1.0740983275941439e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08090571985728427 Order of pole (three term test) 22.973093075385275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) 2.2839318207448316 y[1] (numeric) 2.283931820744856 absolute error 2.4424906541753444e-14 relative error 1.069423628144383e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07138166536439969 Order of pole (three term test) 22.979185383123507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) 2.29388639412318 y[1] (numeric) 2.2938863941232044 absolute error 2.4424906541753444e-14 relative error 1.0647827461869432e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06174341543420857 Order of pole (three term test) 22.984511096469493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) 2.3038534125290364 y[1] (numeric) 2.303853412529061 absolute error 2.4424906541753444e-14 relative error 1.0601762425041271e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05200638921054883 Order of pole (three term test) 22.98906169541799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) 2.3138308892212645 y[1] (numeric) 2.3138308892212893 absolute error 2.4868995751603507e-14 relative error 1.0747974654264097e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04218616385825692 Order of pole (three term test) 22.992829899981423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) 2.3238168332755533 y[1] (numeric) 2.323816833275578 absolute error 2.4868995751603507e-14 relative error 1.0701788280167171e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03229844964302674 Order of pole (three term test) 22.995809681836313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) 2.3338092503807593 y[1] (numeric) 2.333809250380784 absolute error 2.4868995751603507e-14 relative error 1.0655967597842945e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.022359064798336197 Order of pole (three term test) 22.997996273967367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) 2.3438061436366047 y[1] (numeric) 2.34380614363663 absolute error 2.531308496145357e-14 relative error 1.079999087389466e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01238391021964774 Order of pole (three term test) 22.9993861782936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) 2.3538055143524117 y[1] (numeric) 2.3538055143524375 absolute error 2.5757174171303632e-14 relative error 1.0942779262878074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.002388944026367799 Order of pole (three term test) 22.999977171264607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) 2.363805362846552 y[1] (numeric) 2.363805362846578 absolute error 2.5757174171303632e-14 relative error 1.0896486900379232e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007609843967740119 Order of pole (three term test) 22.999768307417696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 2.373803689246291 y[1] (numeric) 2.373803689246317 absolute error 2.6201263381153694e-14 relative error 1.1037670680119673e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017596457834846455 Order of pole (three term test) 22.99875992089047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 2.3837984942877117 y[1] (numeric) 2.3837984942877384 absolute error 2.6645352591003757e-14 relative error 1.1177686643755303e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.027554921123127823 Order of pole (three term test) 22.99695362488626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 2.3937877801153955 y[1] (numeric) 2.393787780115422 absolute error 2.6645352591003757e-14 relative error 1.1131042113398743e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.037469302415681895 Order of pole (three term test) 22.994352309093358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 2.4037695510815333 y[1] (numeric) 2.4037695510815604 absolute error 2.708944180085382e-14 relative error 1.126956691362756e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0473237408173957 Order of pole (three term test) 22.990960135062096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 2.413741814544162 y[1] (numeric) 2.413741814544189 absolute error 2.708944180085382e-14 relative error 1.1223007215446402e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05710247132899468 Order of pole (three term test) 22.986782529547312 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 2.4237025816641915 y[1] (numeric) 2.423702581664219 absolute error 2.7533531010703882e-14 relative error 1.1360111269014897e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06678985006767812 Order of pole (three term test) 22.98182617582666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 2.4336498682009173 y[1] (numeric) 2.433649868200945 absolute error 2.7533531010703882e-14 relative error 1.1313678015259493e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07637037929399473 Order of pole (three term test) 22.976099003008787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 2.4435816953056877 y[1] (numeric) 2.4435816953057152 absolute error 2.7533531010703882e-14 relative error 1.1267694083483257e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08582873220491957 Order of pole (three term test) 22.969610173348478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 2.453496090313417 y[1] (numeric) 2.4534960903134446 absolute error 2.7533531010703882e-14 relative error 1.1222162170711536e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09514977745346963 Order of pole (three term test) 22.96237006758896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 2.463391087531627 y[1] (numeric) 2.463391087531655 absolute error 2.7977620220553945e-14 relative error 1.1357360332332836e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10431860335563084 Order of pole (three term test) 22.954390268354995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 2.473264729026696 y[1] (numeric) 2.4732647290267242 absolute error 2.842170943040401e-14 relative error 1.1491575930728938e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11332054174587151 Order of pole (three term test) 22.945683541623076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 2.4831150654070067 y[1] (numeric) 2.4831150654070355 absolute error 2.886579864025407e-14 relative error 1.1624833275908898e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12214119144307826 Order of pole (three term test) 22.93626381629865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 2.492940156602678 y[1] (numeric) 2.4929401566027067 absolute error 2.886579864025407e-14 relative error 1.1579017877264942e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13076644128937417 Order of pole (three term test) 22.92614616193279 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 2.5027380726415647 y[1] (numeric) 2.5027380726415935 absolute error 2.886579864025407e-14 relative error 1.1533687426502083e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1391824927249599 Order of pole (three term test) 22.915346764614178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 2.5125068944212225 y[1] (numeric) 2.512506894421252 absolute error 2.930988785010413e-14 relative error 1.1665594994061067e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14737588186286743 Order of pole (three term test) 22.903882901074763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 2.522244714476524 y[1] (numeric) 2.522244714476553 absolute error 2.930988785010413e-14 relative error 1.1620556753228132e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15533350102830573 Order of pole (three term test) 22.89177291105072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 2.531949637742616 y[1] (numeric) 2.5319496377426454 absolute error 2.930988785010413e-14 relative error 1.157601534137766e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16304261972814502 Order of pole (three term test) 22.879036167942765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 2.541619782312924 y[1] (numeric) 2.541619782312954 absolute error 2.9753977059954195e-14 relative error 1.170669872299998e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17049090501698974 Order of pole (three term test) 22.865693047822834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 2.5512532801918875 y[1] (numeric) 2.5512532801919177 absolute error 3.019806626980426e-14 relative error 1.183656146736359e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17766644122726066 Order of pole (three term test) 22.85176489683674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 2.5608482780421347 y[1] (numeric) 2.560848278042165 absolute error 3.019806626980426e-14 relative error 1.179221218560118e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18455774903172062 Order of pole (three term test) 22.837273997054883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 2.5704029379257904 y[1] (numeric) 2.5704029379258206 absolute error 3.019806626980426e-14 relative error 1.1748378366767996e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1911538038079499 Order of pole (three term test) 22.82224353082569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 2.5799154380396296 y[1] (numeric) 2.5799154380396603 absolute error 3.064215547965432e-14 relative error 1.1877193735829582e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1974440532753898 Order of pole (three term test) 22.806697543688795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 2.5893839734437725 y[1] (numeric) 2.5893839734438036 absolute error 3.108624468950438e-14 relative error 1.2005266506751787e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2034184343767406 Order of pole (three term test) 22.790660905907316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 2.5988067567836373 y[1] (numeric) 2.5988067567836683 absolute error 3.108624468950438e-14 relative error 1.1961737673784438e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20906738937670702 Order of pole (three term test) 22.774159272680738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 2.6081820190048575 y[1] (numeric) 2.608182019004889 absolute error 3.1530333899354446e-14 relative error 1.208900823240271e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21438188115233522 Order of pole (three term test) 22.75721904310207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 2.617508010060881 y[1] (numeric) 2.6175080100609125 absolute error 3.1530333899354446e-14 relative error 1.2045935973514394e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21935340765048186 Order of pole (three term test) 22.739867317924897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 2.626782999612964 y[1] (numeric) 2.626782999612996 absolute error 3.197442310920451e-14 relative error 1.2172464613146838e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22397401548928553 Order of pole (three term test) 22.72213185620802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 2.636005277722285 y[1] (numeric) 2.636005277722317 absolute error 3.197442310920451e-14 relative error 1.2129878259133423e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2282363126818815 Order of pole (three term test) 22.704041030906808 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ; Iterations 491 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 10 Minutes 0.0 Seconds Percent Done 100.40816326530484%