##############ECHO OF PROBLEM################# ##############temp/diff2postode.ode################# diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-1.0 x_end=1.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $array_y_init[2 + 1] = exact_soln_ypp(x_start) $glob_look_poles=true $glob_max_iter=1000000000 $glob_display_interval=0.1 $glob_max_minutes=10 #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( - cos(x)) end def exact_soln_yp (x) return( sin(x)) end def exact_soln_ypp (x) return( cos(x)) 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 2.0 estimated_steps 2000000.0 step_error 5.0e-17 est_needed_step_err 5.0e-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 1.3397316172814222e-183 estimated_step_error 1.3397316172814222e-183 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 8.99078694936612e-176 estimated_step_error 8.99078694936612e-176 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 6.033615334409391e-168 estimated_step_error 6.033615334409391e-168 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 4.0490911761692436e-160 estimated_step_error 4.0490911761692436e-160 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 2.7172997176055594e-152 estimated_step_error 2.7172997176055594e-152 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 1.8235498134436713e-144 estimated_step_error 1.8235498134436713e-144 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 1.2237646936954094e-136 estimated_step_error 1.2237646936954094e-136 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 8.212560998512467e-129 estimated_step_error 8.212560998512467e-129 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 5.511376737149902e-121 estimated_step_error 5.511376737149902e-121 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 3.6986496265328145e-113 estimated_step_error 3.6986496265328145e-113 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 2.482158398851135e-105 estimated_step_error 2.482158398851135e-105 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 1.665797495616857e-97 estimated_step_error 1.665797495616857e-97 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 1.1179637971925585e-89 estimated_step_error 1.1179637971925585e-89 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 7.503414103293199e-82 estimated_step_error 7.503414103293199e-82 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 5.036645049197005e-74 estimated_step_error 5.036645049197005e-74 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 3.381630786225179e-66 estimated_step_error 3.381630786225179e-66 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 2.271514251308401e-58 estimated_step_error 2.271514251308401e-58 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 1.5272567377450203e-50 estimated_step_error 1.5272567377450203e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] -1.0 y[1] (analytic) -0.5403023058681398 y[1] (numeric) -0.5403023058681398 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 0.4546487134128408 Order of pole (three term test) 22.70807341827357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.99 y[1] (analytic) -0.5486898605815875 y[1] (numeric) -0.5486898605815876 absolute error 1.1102230246251565e-16 relative error 2.0234072185120535e-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 0.4587189776409048 Order of pole (three term test) 22.698939436894957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.98 y[1] (analytic) -0.5570225467662173 y[1] (numeric) -0.5570225467662173 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 0.4626057603940842 Order of pole (three term test) 22.68972588239408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.97 y[1] (analytic) -0.5652995311603544 y[1] (numeric) -0.5652995311603544 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 0.46630750701110024 Order of pole (three term test) 22.68043644006988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.96 y[1] (analytic) -0.5735199860724567 y[1] (numeric) -0.5735199860724567 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 0.46982273684266257 Order of pole (three term test) 22.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.95 y[1] (analytic) -0.5816830894638836 y[1] (numeric) -0.5816830894638835 absolute error 1.1102230246251565e-16 relative error 1.9086389904310425e-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 0.4731500438437072 Order of pole (three term test) 22.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.94 y[1] (analytic) -0.5897880250310983 y[1] (numeric) -0.5897880250310982 absolute error 1.1102230246251565e-16 relative error 1.8824102516605297e-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 0.4762880971357977 Order of pole (three term test) 22.652150085529925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9299999999999999 y[1] (analytic) -0.5978339822872983 y[1] (numeric) -0.5978339822872982 absolute error 1.1102230246251565e-16 relative error 1.857075806191997e-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 0.479235641539457 Order of pole (three term test) 22.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9199999999999999 y[1] (analytic) -0.6058201566434629 y[1] (numeric) -0.6058201566434628 absolute error 1.1102230246251565e-16 relative error 1.832595057213563e-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 0.481991498076224 Order of pole (three term test) 22.632981937804487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9099999999999999 y[1] (analytic) -0.6137457494888117 y[1] (numeric) -0.6137457494888114 absolute error 2.220446049250313e-16 relative error 3.617859758865492e-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 0.4845545644402281 Order of pole (three term test) 22.623316154984416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8999999999999999 y[1] (analytic) -0.6216099682706645 y[1] (numeric) -0.6216099682706644 absolute error 1.1102230246251565e-16 relative error 1.7860444350881738e-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 0.4869238154390975 Order of pole (three term test) 22.613601047346542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8899999999999999 y[1] (analytic) -0.629412026573697 y[1] (numeric) -0.6294120265736968 absolute error 2.220446049250313e-16 relative error 3.527810012366079e-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 0.48909830340402244 Order of pole (three term test) 22.6038405008044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8799999999999999 y[1] (analytic) -0.6371511441985803 y[1] (numeric) -0.6371511441985801 absolute error 2.220446049250313e-16 relative error 3.4849596825934106e-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 0.4910771585688093 Order of pole (three term test) 22.594038419446445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8699999999999999 y[1] (analytic) -0.6448265472400013 y[1] (numeric) -0.6448265472400011 absolute error 2.220446049250313e-16 relative error 3.4434780310368856e-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 0.49285958941777674 Order of pole (three term test) 22.58419872397454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8599999999999999 y[1] (analytic) -0.6524374681640519 y[1] (numeric) -0.6524374681640518 absolute error 1.1102230246251565e-16 relative error 1.7016543022112226e-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 0.49444488300235073 Order of pole (three term test) 22.574325350135684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8499999999999999 y[1] (analytic) -0.6599831458849823 y[1] (numeric) -0.6599831458849821 absolute error 2.220446049250313e-16 relative error 3.364398110913697e-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 0.4958324052262343 Order of pole (three term test) 22.564422247147764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8399999999999999 y[1] (analytic) -0.6674628258413082 y[1] (numeric) -0.667462825841308 absolute error 2.220446049250313e-16 relative error 3.326696204318999e-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 0.4970216010990381 Order of pole (three term test) 22.55449337611994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8299999999999998 y[1] (analytic) -0.6748757600712673 y[1] (numeric) -0.674875760071267 absolute error 2.220446049250313e-16 relative error 3.2901552857904286e-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 0.4980119949582683 Order of pole (three term test) 22.544542708468228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8199999999999998 y[1] (analytic) -0.6822212072876137 y[1] (numeric) -0.6822212072876135 absolute error 2.220446049250313e-16 relative error 3.254730321384172e-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 0.49880319065958684 Order of pole (three term test) 22.53457422432703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8099999999999998 y[1] (analytic) -0.6894984329517472 y[1] (numeric) -0.689498432951747 absolute error 2.220446049250313e-16 relative error 3.220378674023332e-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 0.4993948717352619 Order of pole (three term test) 22.52459191095708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7999999999999998 y[1] (analytic) -0.6967067093471655 y[1] (numeric) -0.6967067093471654 absolute error 1.1102230246251565e-16 relative error 1.593529974277796e-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 0.4997868015207524 Order of pole (three term test) 22.514599761150638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7899999999999998 y[1] (analytic) -0.7038453156522362 y[1] (numeric) -0.7038453156522361 absolute error 1.1102230246251565e-16 relative error 1.5773679243660806e-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 0.4999788232493701 Order of pole (three term test) 22.50460177163441 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7799999999999998 y[1] (analytic) -0.7109135380122775 y[1] (numeric) -0.7109135380122773 absolute error 2.220446049250313e-16 relative error 3.1233700450531665e-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 0.4999708601149831 Order of pole (three term test) 22.494601941470865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7699999999999998 y[1] (analytic) -0.7179106696109435 y[1] (numeric) -0.7179106696109433 absolute error 2.220446049250313e-16 relative error 3.092928052530041e-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 0.49976291530273953 Order of pole (three term test) 22.484604270458764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7599999999999998 y[1] (analytic) -0.7248360107409053 y[1] (numeric) -0.7248360107409051 absolute error 2.220446049250313e-16 relative error 3.06337711750916e-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 0.4993550719877914 Order of pole (three term test) 22.47461275753321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7499999999999998 y[1] (analytic) -0.731688868873821 y[1] (numeric) -0.7316888688738208 absolute error 2.220446049250313e-16 relative error 3.034686112784404e-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 0.49874749330202733 Order of pole (three term test) 22.464631399166155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7399999999999998 y[1] (analytic) -0.738468558729588 y[1] (numeric) -0.7384685587295878 absolute error 2.220446049250313e-16 relative error 3.0068254403006946e-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 0.4979404222688199 Order of pole (three term test) 22.45466418776784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7299999999999998 y[1] (analytic) -0.7451744023448705 y[1] (numeric) -0.7451744023448703 absolute error 2.220446049250313e-16 relative error 2.9797669408170024e-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 0.4969341817058225 Order of pole (three term test) 22.44471511008997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7199999999999998 y[1] (analytic) -0.7518057291408952 y[1] (numeric) -0.7518057291408949 absolute error 2.220446049250313e-16 relative error 2.953483809956683e-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 0.4957291740958431 Order of pole (three term test) 22.434788145630925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7099999999999997 y[1] (analytic) -0.7583618759905083 y[1] (numeric) -0.7583618759905081 absolute error 2.220446049250313e-16 relative error 2.927950520126231e-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 0.49432588142585987 Order of pole (three term test) 22.424887265044156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6999999999999997 y[1] (analytic) -0.7648421872844886 y[1] (numeric) -0.7648421872844884 absolute error 2.220446049250313e-16 relative error 2.903142747831197e-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 0.49272486499423024 Order of pole (three term test) 22.415016428549883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6899999999999997 y[1] (analytic) -0.7712460149971068 y[1] (numeric) -0.7712460149971065 absolute error 2.220446049250313e-16 relative error 2.879037305960852e-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 0.49092676518617984 Order of pole (three term test) 22.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6799999999999997 y[1] (analytic) -0.7775727187509281 y[1] (numeric) -0.7775727187509279 absolute error 2.220446049250313e-16 relative error 2.855612080651669e-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 0.488932301217658 Order of pole (three term test) 22.395380667054287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6699999999999997 y[1] (analytic) -0.7838216658808494 y[1] (numeric) -0.7838216658808492 absolute error 2.220446049250313e-16 relative error 2.832845972374344e-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 0.4867422708476597 Order of pole (three term test) 22.385623596095773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6599999999999997 y[1] (analytic) -0.7899922314973653 y[1] (numeric) -0.7899922314973651 absolute error 2.220446049250313e-16 relative error 2.8107188409202963e-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 0.48435755005913245 Order of pole (three term test) 22.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6499999999999997 y[1] (analytic) -0.796083798549056 y[1] (numeric) -0.7960837985490559 absolute error 1.1102230246251565e-16 relative error 1.3946057269958908e-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 0.48177909270859637 Order of pole (three term test) 22.366250585687705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6399999999999997 y[1] (analytic) -0.8020957578842928 y[1] (numeric) -0.8020957578842927 absolute error 1.1102230246251565e-16 relative error 1.384152719562585e-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 0.4790079301446124 Order of pole (three term test) 22.35664239518402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6299999999999997 y[1] (analytic) -0.8080275083121521 y[1] (numeric) -0.8080275083121519 absolute error 2.220446049250313e-16 relative error 2.7479832386999928e-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 0.4760451707952579 Order of pole (three term test) 22.347091545810855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6199999999999997 y[1] (analytic) -0.8138784566625341 y[1] (numeric) -0.8138784566625339 absolute error 2.220446049250313e-16 relative error 2.7282280678071776e-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 0.4728919997247694 Order of pole (three term test) 22.337601857780616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6099999999999997 y[1] (analytic) -0.8196480178454797 y[1] (numeric) -0.8196480178454795 absolute error 2.220446049250313e-16 relative error 2.7090238747687818e-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 0.46954967815953386 Order of pole (three term test) 22.32817712684198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5999999999999996 y[1] (analytic) -0.8253356149096785 y[1] (numeric) -0.8253356149096782 absolute error 3.3306690738754696e-16 relative error 4.0355329561780326e-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 0.4660195429836131 Order of pole (three term test) 22.318821122761662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5899999999999996 y[1] (analytic) -0.8309406791001637 y[1] (numeric) -0.8309406791001634 absolute error 2.220446049250313e-16 relative error 2.6722076618692716e-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 0.46230300620401 Order of pole (three term test) 22.309537587816553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5799999999999996 y[1] (analytic) -0.8364626499151872 y[1] (numeric) -0.8364626499151869 absolute error 2.220446049250313e-16 relative error 2.654566882903205e-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 0.45840155438588326 Order of pole (three term test) 22.30033023529686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5699999999999996 y[1] (analytic) -0.8419009751622689 y[1] (numeric) -0.8419009751622687 absolute error 2.220446049250313e-16 relative error 2.6374195003424743e-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 0.4543167480579414 Order of pole (three term test) 22.291202748020815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5599999999999996 y[1] (analytic) -0.8472551110134163 y[1] (numeric) -0.8472551110134161 absolute error 2.220446049250313e-16 relative error 2.620752616758369e-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 0.45005022108825254 Order of pole (three term test) 22.282158776861646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5499999999999996 y[1] (analytic) -0.8525245220595059 y[1] (numeric) -0.8525245220595057 absolute error 2.220446049250313e-16 relative error 2.6045538770969532e-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 0.4456036800307176 Order of pole (three term test) 22.273201939287212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5399999999999996 y[1] (analytic) -0.8577086813638244 y[1] (numeric) -0.857708681363824 absolute error 3.3306690738754696e-16 relative error 3.883217164806404e-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 0.44097890344247354 Order of pole (three term test) 22.26433581791313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5299999999999996 y[1] (analytic) -0.8628070705147612 y[1] (numeric) -0.8628070705147609 absolute error 3.3306690738754696e-16 relative error 3.8602709547666916e-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 0.436177741172493 Order of pole (three term test) 22.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5199999999999996 y[1] (analytic) -0.8678191796776501 y[1] (numeric) -0.8678191796776498 absolute error 3.3306690738754696e-16 relative error 3.837975873168234e-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 0.4312021136216692 Order of pole (three term test) 22.24688987138361 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5099999999999996 y[1] (analytic) -0.8727445076457515 y[1] (numeric) -0.8727445076457512 absolute error 3.3306690738754696e-16 relative error 3.8163162812218966e-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 0.42605401097468126 Order of pole (three term test) 22.238317024374172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49999999999999956 y[1] (analytic) -0.877582561890373 y[1] (numeric) -0.8775825618903726 absolute error 3.3306690738754696e-16 relative error 3.7952771836087766e-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 0.42073549240394825 Order of pole (three term test) 22.229848847065927 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48999999999999955 y[1] (analytic) -0.8823328586101217 y[1] (numeric) -0.8823328586101215 absolute error 2.220446049250313e-16 relative error 2.5165628000616788e-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 0.4152486852459851 Order of pole (three term test) 22.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47999999999999954 y[1] (analytic) -0.8869949227792844 y[1] (numeric) -0.8869949227792842 absolute error 2.220446049250313e-16 relative error 2.503335692489458e-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 0.40959578415049913 Order of pole (three term test) 22.213240006963773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46999999999999953 y[1] (analytic) -0.8915682881953292 y[1] (numeric) -0.8915682881953289 absolute error 3.3306690738754696e-16 relative error 3.735741970609177e-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 0.403779050202557 Order of pole (three term test) 22.205105987484448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4599999999999995 y[1] (analytic) -0.8960524975255254 y[1] (numeric) -0.8960524975255252 absolute error 2.220446049250313e-16 relative error 2.4780312039552798e-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 0.39780081001818307 Order of pole (three term test) 22.197089921678263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4499999999999995 y[1] (analytic) -0.9004471023526771 y[1] (numeric) -0.9004471023526769 absolute error 2.220446049250313e-16 relative error 2.4659372476725828e-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 0.3916634548137419 Order of pole (three term test) 22.189195015864662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4399999999999995 y[1] (analytic) -0.9047516632199636 y[1] (numeric) -0.9047516632199634 absolute error 2.220446049250313e-16 relative error 2.454204992945647e-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 0.3853694394494849 Order of pole (three term test) 22.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4299999999999995 y[1] (analytic) -0.9089657496748853 y[1] (numeric) -0.9089657496748851 absolute error 2.220446049250313e-16 relative error 2.4428269712522304e-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 0.3789212814476385 Order of pole (three term test) 22.173781265917977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4199999999999995 y[1] (analytic) -0.9130889403123085 y[1] (numeric) -0.9130889403123083 absolute error 2.220446049250313e-16 relative error 2.4317960181303285e-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 0.37232155998542976 Order of pole (three term test) 22.166268587079347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4099999999999995 y[1] (analytic) -0.9171208228166053 y[1] (numeric) -0.9171208228166051 absolute error 2.220446049250313e-16 relative error 2.421105261170513e-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 0.36557291486344773 Order of pole (three term test) 22.15888939635619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39999999999999947 y[1] (analytic) -0.9210609940028853 y[1] (numeric) -0.9210609940028851 absolute error 2.220446049250313e-16 relative error 2.4107481086571312e-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 0.3586780454497614 Order of pole (three term test) 22.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38999999999999946 y[1] (analytic) -0.9249090598573132 y[1] (numeric) -0.9249090598573131 absolute error 1.1102230246251565e-16 relative error 1.2003591194105418e-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 0.3516397096002053 Order of pole (three term test) 22.144543230993868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37999999999999945 y[1] (analytic) -0.9286646355765105 y[1] (numeric) -0.9286646355765102 absolute error 2.220446049250313e-16 relative error 2.391009589669441e-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 0.3444607225552757 Order of pole (three term test) 22.137581994629546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36999999999999944 y[1] (analytic) -0.9323273456060346 y[1] (numeric) -0.9323273456060345 absolute error 1.1102230246251565e-16 relative error 1.1908081746797693e-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 0.3371439558140725 Order of pole (three term test) 22.130765720635203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35999999999999943 y[1] (analytic) -0.935896823677935 y[1] (numeric) -0.9358968236779349 absolute error 1.1102230246251565e-16 relative error 1.1862664735436813e-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 0.32969233598573666 Order of pole (three term test) 22.124097135429555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3499999999999994 y[1] (analytic) -0.9393727128473791 y[1] (numeric) -0.939372712847379 absolute error 1.1102230246251565e-16 relative error 1.1818770222310425e-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 0.32210884361884556 Order of pole (three term test) 22.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3399999999999994 y[1] (analytic) -0.9427546655283464 y[1] (numeric) -0.9427546655283463 absolute error 1.1102230246251565e-16 relative error 1.1776372636702425e-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 0.31439651200923413 Order of pole (three term test) 22.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3299999999999994 y[1] (analytic) -0.9460423435283871 y[1] (numeric) -0.946042343528387 absolute error 1.1102230246251565e-16 relative error 1.1735447490483739e-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 0.30655842598671684 Order of pole (three term test) 22.105003884251314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3199999999999994 y[1] (analytic) -0.949235418082441 y[1] (numeric) -0.9492354180824409 absolute error 1.1102230246251565e-16 relative error 1.1695971341523771e-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 0.29859772068119617 Order of pole (three term test) 22.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3099999999999994 y[1] (analytic) -0.9523335698857136 y[1] (numeric) -0.9523335698857135 absolute error 1.1102230246251565e-16 relative error 1.1657921759057499e-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 0.29051758026865254 Order of pole (three term test) 22.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2999999999999994 y[1] (analytic) -0.9553364891256062 y[1] (numeric) -0.9553364891256061 absolute error 1.1102230246251565e-16 relative error 1.1621277290908398e-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 0.2823212366975177 Order of pole (three term test) 22.087332192545166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28999999999999937 y[1] (analytic) -0.9582438755126973 y[1] (numeric) -0.9582438755126973 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 0.2740119683959369 Order of pole (three term test) 22.081768675042408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27999999999999936 y[1] (analytic) -0.9610554383107711 y[1] (numeric) -0.9610554383107711 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 0.2655930989604419 Order of pole (three term test) 22.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26999999999999935 y[1] (analytic) -0.9637708963658906 y[1] (numeric) -0.9637708963658906 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 0.25706799582655643 Order of pole (three term test) 22.071145659318084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25999999999999934 y[1] (analytic) -0.9663899781345134 y[1] (numeric) -0.9663899781345133 absolute error 1.1102230246251565e-16 relative error 1.1488354078012001e-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 0.24844006892186857 Order of pole (three term test) 22.066090410161173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24999999999999933 y[1] (analytic) -0.968912421710645 y[1] (numeric) -0.9689124217106448 absolute error 1.1102230246251565e-16 relative error 1.1458445569982716e-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 0.23971276930210172 Order of pole (three term test) 22.061208719054818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23999999999999932 y[1] (analytic) -0.9713379748520298 y[1] (numeric) -0.9713379748520297 absolute error 1.1102230246251565e-16 relative error 1.1429832389640527e-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 0.2308895877707416 Order of pole (three term test) 22.056502538610356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22999999999999932 y[1] (analytic) -0.973666395005375 y[1] (numeric) -0.9736663950053749 absolute error 1.1102230246251565e-16 relative error 1.1402499154949552e-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 0.22197405348275995 Order of pole (three term test) 22.051973751237238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2199999999999993 y[1] (analytic) -0.9758974493306056 y[1] (numeric) -0.9758974493306055 absolute error 1.1102230246251565e-16 relative error 1.1376431257061779e-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 0.2129697325329999 Order of pole (three term test) 22.04762416839002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2099999999999993 y[1] (analytic) -0.9780309147241484 y[1] (numeric) -0.9780309147241483 absolute error 1.1102230246251565e-16 relative error 1.135161484070565e-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 0.20388022652978527 Order of pole (three term test) 22.043455529843847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1999999999999993 y[1] (analytic) -0.9800665778412417 y[1] (numeric) -0.9800665778412416 absolute error 1.1102230246251565e-16 relative error 1.1328036785731495e-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 0.1947091711543255 Order of pole (three term test) 22.039469502998557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18999999999999928 y[1] (analytic) -0.9820042351172704 y[1] (numeric) -0.9820042351172703 absolute error 1.1102230246251565e-16 relative error 1.1305684689766886e-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 0.18546023470649153 Order of pole (three term test) 22.03566768221174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17999999999999927 y[1] (analytic) -0.9838436927881216 y[1] (numeric) -0.9838436927881214 absolute error 1.1102230246251565e-16 relative error 1.1284546851938317e-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 0.17613711663754514 Order of pole (three term test) 22.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16999999999999926 y[1] (analytic) -0.9855847669095609 y[1] (numeric) -0.9855847669095608 absolute error 1.1102230246251565e-16 relative error 1.1264612257618555e-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 0.1667435460704074 Order of pole (three term test) 22.028622667235823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15999999999999925 y[1] (analytic) -0.987227283375627 y[1] (numeric) -0.987227283375627 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 0.15728328030805916 Order of pole (three term test) 22.02538229095878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14999999999999925 y[1] (analytic) -0.9887710779360424 y[1] (numeric) -0.9887710779360424 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 0.14776010333067002 Order of pole (three term test) 22.022331755437197 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13999999999999924 y[1] (analytic) -0.9902159962126372 y[1] (numeric) -0.9902159962126372 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 0.13817782428205702 Order of pole (three term test) 22.01947228084461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12999999999999923 y[1] (analytic) -0.9915618937147881 y[1] (numeric) -0.9915618937147881 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 0.12854027594607773 Order of pole (three term test) 22.016805010932746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11999999999999923 y[1] (analytic) -0.9928086358538664 y[1] (numeric) -0.9928086358538663 absolute error 1.1102230246251565e-16 relative error 1.1182648745498751e-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 0.11885131321356744 Order of pole (three term test) 22.014331012573983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10999999999999924 y[1] (analytic) -0.9939560979566969 y[1] (numeric) -0.9939560979566968 absolute error 1.1102230246251565e-16 relative error 1.1169739054948934e-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 0.10911481154043483 Order of pole (three term test) 22.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.09999999999999924 y[1] (analytic) -0.9950041652780258 y[1] (numeric) -0.9950041652780257 absolute error 1.1102230246251565e-16 relative error 1.1157973638381062e-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 0.09933466539753076 Order of pole (three term test) 22.00996671107938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.08999999999999925 y[1] (analytic) -0.9959527330119943 y[1] (numeric) -0.9959527330119942 absolute error 1.1102230246251565e-16 relative error 1.1147346533882006e-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 0.08951478671291223 Order of pole (three term test) 22.00807815360594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.07999999999999925 y[1] (analytic) -0.9968017063026194 y[1] (numeric) -0.9968017063026193 absolute error 1.1102230246251565e-16 relative error 1.113785236928661e-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 0.07965910330712317 Order of pole (three term test) 22.00638635831219 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.06999999999999926 y[1] (analytic) -0.9975510002532796 y[1] (numeric) -0.9975510002532795 absolute error 1.1102230246251565e-16 relative error 1.1129486355517356e-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 0.0697715573221184 Order of pole (three term test) 22.004892001893676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.059999999999999255 y[1] (analytic) -0.9982005399352042 y[1] (numeric) -0.9982005399352041 absolute error 1.1102230246251565e-16 relative error 1.1122244280665526e-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 0.05985610364445986 Order of pole (three term test) 22.00359568207307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.04999999999999925 y[1] (analytic) -0.9987502603949663 y[1] (numeric) -0.9987502603949662 absolute error 1.1102230246251565e-16 relative error 1.111612250480022e-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 0.04991670832341427 Order of pole (three term test) 22.002497917360984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.03999999999999925 y[1] (analytic) -0.9992001066609779 y[1] (numeric) -0.9992001066609779 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 0.039957346984586535 Order of pole (three term test) 22.00159914684869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.02999999999999925 y[1] (analytic) -0.9995500337489875 y[1] (numeric) -0.9995500337489875 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 0.029982003239722468 Order of pole (three term test) 22.0008997300324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.019999999999999248 y[1] (analytic) -0.9998000066665778 y[1] (numeric) -0.9998000066665778 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 0.019994667093317275 Order of pole (three term test) 22.000399946669514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.009999999999999247 y[1] (analytic) -0.9999500004166653 y[1] (numeric) -0.9999500004166653 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 0.009999333346666738 Order of pole (three term test) 22.000099996666716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.528699885739343e-16 y[1] (analytic) -1.0 y[1] (numeric) -1.0 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 1.9428902930940244e-16 Order of pole (three term test) 22.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.010000000000000753 y[1] (analytic) -0.9999500004166653 y[1] (numeric) -0.9999500004166653 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 0.009999333346666344 Order of pole (three term test) 22.000099996666716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.020000000000000753 y[1] (analytic) -0.9998000066665778 y[1] (numeric) -0.9998000066665778 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 0.019994667093316865 Order of pole (three term test) 22.000399946669514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.030000000000000755 y[1] (analytic) -0.9995500337489875 y[1] (numeric) -0.9995500337489875 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 0.029982003239722093 Order of pole (three term test) 22.0008997300324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04000000000000076 y[1] (analytic) -0.9992001066609779 y[1] (numeric) -0.9992001066609779 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 0.03995734698458617 Order of pole (three term test) 22.00159914684869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05000000000000076 y[1] (analytic) -0.9987502603949662 y[1] (numeric) -0.9987502603949662 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 0.04991670832341387 Order of pole (three term test) 22.002497917360984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06000000000000076 y[1] (analytic) -0.9982005399352041 y[1] (numeric) -0.9982005399352041 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 0.059856103644459445 Order of pole (three term test) 22.00359568207307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07000000000000076 y[1] (analytic) -0.9975510002532795 y[1] (numeric) -0.9975510002532795 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 0.06977155732211801 Order of pole (three term test) 22.004892001893683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08000000000000075 y[1] (analytic) -0.9968017063026193 y[1] (numeric) -0.9968017063026193 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 0.07965910330712281 Order of pole (three term test) 22.006386358312184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09000000000000075 y[1] (analytic) -0.9959527330119942 y[1] (numeric) -0.9959527330119942 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 0.08951478671291188 Order of pole (three term test) 22.00807815360594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10000000000000074 y[1] (analytic) -0.9950041652780257 y[1] (numeric) -0.9950041652780257 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 0.09933466539753037 Order of pole (three term test) 22.009966711079386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000074 y[1] (analytic) -0.9939560979566968 y[1] (numeric) -0.9939560979566968 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 0.10911481154043448 Order of pole (three term test) 22.012051275334702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000073 y[1] (analytic) -0.9928086358538661 y[1] (numeric) -0.9928086358538663 absolute error 1.1102230246251565e-16 relative error 1.1182648745498754e-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 0.1188513132135671 Order of pole (three term test) 22.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13000000000000073 y[1] (analytic) -0.991561893714788 y[1] (numeric) -0.9915618937147881 absolute error 1.1102230246251565e-16 relative error 1.1196709269108925e-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 0.1285402759460773 Order of pole (three term test) 22.016805010932742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000073 y[1] (analytic) -0.9902159962126371 y[1] (numeric) -0.9902159962126372 absolute error 1.1102230246251565e-16 relative error 1.1211927790214665e-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 0.13817782428205658 Order of pole (three term test) 22.01947228084461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000074 y[1] (analytic) -0.9887710779360421 y[1] (numeric) -0.9887710779360424 absolute error 2.220446049250313e-16 relative error 2.2456624175185886e-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 0.1477601033306696 Order of pole (three term test) 22.022331755437193 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000075 y[1] (analytic) -0.9872272833756268 y[1] (numeric) -0.987227283375627 absolute error 2.220446049250313e-16 relative error 2.249174112832397e-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 0.15728328030805871 Order of pole (three term test) 22.025382290958785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000076 y[1] (analytic) -0.9855847669095605 y[1] (numeric) -0.9855847669095608 absolute error 2.220446049250313e-16 relative error 2.2529224515237117e-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 0.16674354607040714 Order of pole (three term test) 22.028622667235833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000077 y[1] (analytic) -0.9838436927881212 y[1] (numeric) -0.9838436927881214 absolute error 2.220446049250313e-16 relative error 2.256909370387664e-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 0.1761371166375447 Order of pole (three term test) 22.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000078 y[1] (analytic) -0.9820042351172702 y[1] (numeric) -0.9820042351172703 absolute error 1.1102230246251565e-16 relative error 1.1305684689766889e-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 0.18546023470649112 Order of pole (three term test) 22.03566768221174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000008 y[1] (analytic) -0.9800665778412415 y[1] (numeric) -0.9800665778412416 absolute error 1.1102230246251565e-16 relative error 1.1328036785731496e-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 0.19470917115432496 Order of pole (three term test) 22.039469502998557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000008 y[1] (analytic) -0.978030914724148 y[1] (numeric) -0.9780309147241483 absolute error 2.220446049250313e-16 relative error 2.270322968141131e-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 0.20388022652978496 Order of pole (three term test) 22.043455529843847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000008 y[1] (analytic) -0.9758974493306053 y[1] (numeric) -0.9758974493306055 absolute error 2.220446049250313e-16 relative error 2.2752862514123567e-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 0.21296973253299947 Order of pole (three term test) 22.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000081 y[1] (analytic) -0.9736663950053747 y[1] (numeric) -0.9736663950053749 absolute error 2.220446049250313e-16 relative error 2.2804998309899113e-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 0.22197405348275945 Order of pole (three term test) 22.051973751237234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000082 y[1] (analytic) -0.9713379748520294 y[1] (numeric) -0.9713379748520297 absolute error 2.220446049250313e-16 relative error 2.285966477928106e-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 0.2308895877707412 Order of pole (three term test) 22.056502538610363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25000000000000083 y[1] (analytic) -0.9689124217106446 y[1] (numeric) -0.9689124217106448 absolute error 2.220446049250313e-16 relative error 2.291689113996544e-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 0.23971276930210117 Order of pole (three term test) 22.061208719054815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26000000000000084 y[1] (analytic) -0.966389978134513 y[1] (numeric) -0.9663899781345133 absolute error 3.3306690738754696e-16 relative error 3.446506223403602e-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 0.24844006892186798 Order of pole (three term test) 22.066090410161173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000085 y[1] (analytic) -0.9637708963658903 y[1] (numeric) -0.9637708963658906 absolute error 3.3306690738754696e-16 relative error 3.4558722269312017e-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 0.2570679958265561 Order of pole (three term test) 22.071145659318084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000086 y[1] (analytic) -0.9610554383107707 y[1] (numeric) -0.9610554383107711 absolute error 4.440892098500626e-16 relative error 4.620849038954818e-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 0.2655930989604415 Order of pole (three term test) 22.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000087 y[1] (analytic) -0.958243875512697 y[1] (numeric) -0.9582438755126973 absolute error 3.3306690738754696e-16 relative error 3.475805229742204e-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 0.2740119683959362 Order of pole (three term test) 22.081768675042408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3000000000000009 y[1] (analytic) -0.9553364891256058 y[1] (numeric) -0.9553364891256062 absolute error 4.440892098500626e-16 relative error 4.6485109163633616e-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 0.2823212366975175 Order of pole (three term test) 22.087332192545162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3100000000000009 y[1] (analytic) -0.9523335698857132 y[1] (numeric) -0.9523335698857136 absolute error 4.440892098500626e-16 relative error 4.6631687036230013e-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 0.2905175802686522 Order of pole (three term test) 22.093060771668732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000009 y[1] (analytic) -0.9492354180824406 y[1] (numeric) -0.949235418082441 absolute error 4.440892098500626e-16 relative error 4.6783885366095104e-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 0.2985977206811955 Order of pole (three term test) 22.09895212105786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000009 y[1] (analytic) -0.9460423435283867 y[1] (numeric) -0.9460423435283871 absolute error 4.440892098500626e-16 relative error 4.6941789961934974e-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 0.30655842598671657 Order of pole (three term test) 22.105003884251314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000009 y[1] (analytic) -0.942754665528346 y[1] (numeric) -0.9427546655283464 absolute error 4.440892098500626e-16 relative error 4.710549054680972e-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 0.314396512009234 Order of pole (three term test) 22.111213640624538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000009 y[1] (analytic) -0.9393727128473786 y[1] (numeric) -0.9393727128473791 absolute error 5.551115123125783e-16 relative error 5.909385111155216e-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 0.32210884361884506 Order of pole (three term test) 22.117578906357753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36000000000000093 y[1] (analytic) -0.9358968236779345 y[1] (numeric) -0.935896823677935 absolute error 5.551115123125783e-16 relative error 5.93133236771841e-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 0.3296923359857363 Order of pole (three term test) 22.124097135429555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37000000000000094 y[1] (analytic) -0.932327345606034 y[1] (numeric) -0.9323273456060346 absolute error 5.551115123125783e-16 relative error 5.95404087339885e-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 0.33714395581407225 Order of pole (three term test) 22.130765720635207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38000000000000095 y[1] (analytic) -0.9286646355765099 y[1] (numeric) -0.9286646355765105 absolute error 5.551115123125783e-16 relative error 5.977523974173605e-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 0.3444607225552754 Order of pole (three term test) 22.137581994629546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000096 y[1] (analytic) -0.9249090598573126 y[1] (numeric) -0.9249090598573133 absolute error 6.661338147750939e-16 relative error 7.202154716463256e-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 0.3516397096002046 Order of pole (three term test) 22.144543230993865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000097 y[1] (analytic) -0.9210609940028847 y[1] (numeric) -0.9210609940028853 absolute error 6.661338147750939e-16 relative error 7.232244325971398e-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 0.3586780454497613 Order of pole (three term test) 22.15164664532642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.410000000000001 y[1] (analytic) -0.9171208228166047 y[1] (numeric) -0.9171208228166053 absolute error 6.661338147750939e-16 relative error 7.263315783511544e-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 0.3655729148634476 Order of pole (three term test) 22.15888939635619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.420000000000001 y[1] (analytic) -0.9130889403123079 y[1] (numeric) -0.9130889403123085 absolute error 5.551115123125783e-16 relative error 6.079490045325826e-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 0.3723215599854295 Order of pole (three term test) 22.166268587079347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.430000000000001 y[1] (analytic) -0.9089657496748847 y[1] (numeric) -0.9089657496748853 absolute error 5.551115123125783e-16 relative error 6.10706742813058e-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 0.37892128144763804 Order of pole (three term test) 22.173781265917977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.440000000000001 y[1] (analytic) -0.904751663219963 y[1] (numeric) -0.9047516632199636 absolute error 5.551115123125783e-16 relative error 6.135512482364121e-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 0.38536943944948443 Order of pole (three term test) 22.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.450000000000001 y[1] (analytic) -0.9004471023526764 y[1] (numeric) -0.9004471023526771 absolute error 6.661338147750939e-16 relative error 7.397811743017754e-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 0.3916634548137415 Order of pole (three term test) 22.18919501586467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.460000000000001 y[1] (analytic) -0.8960524975255247 y[1] (numeric) -0.8960524975255254 absolute error 6.661338147750939e-16 relative error 7.434093611865845e-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 0.3978008100181828 Order of pole (three term test) 22.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47000000000000103 y[1] (analytic) -0.8915682881953285 y[1] (numeric) -0.8915682881953291 absolute error 5.551115123125783e-16 relative error 6.226236617681966e-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 0.403779050202557 Order of pole (three term test) 22.205105987484455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48000000000000104 y[1] (analytic) -0.8869949227792837 y[1] (numeric) -0.8869949227792844 absolute error 6.661338147750939e-16 relative error 7.510007077468379e-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 0.4095957841504988 Order of pole (three term test) 22.213240006963776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49000000000000105 y[1] (analytic) -0.882332858610121 y[1] (numeric) -0.8823328586101217 absolute error 6.661338147750939e-16 relative error 7.549688400185041e-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 0.4152486852459849 Order of pole (three term test) 22.221488726616887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.500000000000001 y[1] (analytic) -0.8775825618903722 y[1] (numeric) -0.8775825618903729 absolute error 6.661338147750939e-16 relative error 7.59055436721756e-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 0.4207354924039481 Order of pole (three term test) 22.229848847065927 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.510000000000001 y[1] (analytic) -0.8727445076457507 y[1] (numeric) -0.8727445076457514 absolute error 6.661338147750939e-16 relative error 7.632632562443801e-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 0.4260540109746813 Order of pole (three term test) 22.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.520000000000001 y[1] (analytic) -0.8678191796776494 y[1] (numeric) -0.86781917967765 absolute error 5.551115123125783e-16 relative error 6.396626455280394e-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 0.431202113621669 Order of pole (three term test) 22.24688987138361 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.530000000000001 y[1] (analytic) -0.8628070705147605 y[1] (numeric) -0.8628070705147611 absolute error 6.661338147750939e-16 relative error 7.720541909533391e-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 0.43617774117249286 Order of pole (three term test) 22.255563959069736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.540000000000001 y[1] (analytic) -0.8577086813638236 y[1] (numeric) -0.8577086813638243 absolute error 6.661338147750939e-16 relative error 7.766434329612815e-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 0.44097890344247354 Order of pole (three term test) 22.264335817913132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.550000000000001 y[1] (analytic) -0.8525245220595052 y[1] (numeric) -0.8525245220595059 absolute error 6.661338147750939e-16 relative error 7.813661631290866e-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 0.4456036800307175 Order of pole (three term test) 22.273201939287212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.560000000000001 y[1] (analytic) -0.8472551110134156 y[1] (numeric) -0.8472551110134163 absolute error 7.771561172376096e-16 relative error 9.172634158654299e-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 0.4500502210882524 Order of pole (three term test) 22.282158776861646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000011 y[1] (analytic) -0.8419009751622681 y[1] (numeric) -0.8419009751622689 absolute error 7.771561172376096e-16 relative error 9.230968251198669e-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 0.4543167480579415 Order of pole (three term test) 22.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000011 y[1] (analytic) -0.8364626499151864 y[1] (numeric) -0.8364626499151872 absolute error 7.771561172376096e-16 relative error 9.290984090161226e-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 0.45840155438588304 Order of pole (three term test) 22.300330235296855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000011 y[1] (analytic) -0.8309406791001629 y[1] (numeric) -0.8309406791001637 absolute error 7.771561172376096e-16 relative error 9.352726816542459e-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 0.4623030062040099 Order of pole (three term test) 22.30953758781656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000011 y[1] (analytic) -0.8253356149096777 y[1] (numeric) -0.8253356149096784 absolute error 7.771561172376096e-16 relative error 9.41624356441542e-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 0.4660195429836129 Order of pole (three term test) 22.31882112276166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000011 y[1] (analytic) -0.8196480178454789 y[1] (numeric) -0.8196480178454797 absolute error 7.771561172376096e-16 relative error 9.481583561690746e-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 0.4695496781595335 Order of pole (three term test) 22.328177126841975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000011 y[1] (analytic) -0.8138784566625333 y[1] (numeric) -0.8138784566625341 absolute error 7.771561172376096e-16 relative error 9.548798237325131e-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 0.47289199972476936 Order of pole (three term test) 22.337601857780612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000011 y[1] (analytic) -0.8080275083121512 y[1] (numeric) -0.8080275083121521 absolute error 8.881784197001252e-16 relative error 1.0991932954799984e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47604517079525793 Order of pole (three term test) 22.347091545810862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000011 y[1] (analytic) -0.802095757884292 y[1] (numeric) -0.8020957578842929 absolute error 8.881784197001252e-16 relative error 1.107322175650069e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461235 Order of pole (three term test) 22.35664239518402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000011 y[1] (analytic) -0.7960837985490551 y[1] (numeric) -0.7960837985490561 absolute error 9.992007221626409e-16 relative error 1.2551451542963032e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48177909270859626 Order of pole (three term test) 22.366250585687705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000011 y[1] (analytic) -0.7899922314973644 y[1] (numeric) -0.7899922314973653 absolute error 8.881784197001252e-16 relative error 1.1242875363681198e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48435755005913245 Order of pole (three term test) 22.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000012 y[1] (analytic) -0.7838216658808486 y[1] (numeric) -0.7838216658808494 absolute error 8.881784197001252e-16 relative error 1.1331383889497388e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4867422708476597 Order of pole (three term test) 22.385623596095773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000012 y[1] (analytic) -0.7775727187509273 y[1] (numeric) -0.7775727187509281 absolute error 8.881784197001252e-16 relative error 1.1422448322606689e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48893230121765796 Order of pole (three term test) 22.395380667054287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000012 y[1] (analytic) -0.7712460149971059 y[1] (numeric) -0.7712460149971068 absolute error 8.881784197001252e-16 relative error 1.151614922384342e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4909267651861798 Order of pole (three term test) 22.405179584351085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000012 y[1] (analytic) -0.7648421872844877 y[1] (numeric) -0.7648421872844886 absolute error 8.881784197001252e-16 relative error 1.16125709913248e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927248649942301 Order of pole (three term test) 22.415016428549883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000012 y[1] (analytic) -0.7583618759905074 y[1] (numeric) -0.7583618759905083 absolute error 8.881784197001252e-16 relative error 1.1711802080504938e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49432588142585976 Order of pole (three term test) 22.424887265044156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000012 y[1] (analytic) -0.7518057291408942 y[1] (numeric) -0.7518057291408952 absolute error 9.992007221626409e-16 relative error 1.329067714480509e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49572917409584316 Order of pole (three term test) 22.43478814563093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000012 y[1] (analytic) -0.7451744023448695 y[1] (numeric) -0.7451744023448705 absolute error 9.992007221626409e-16 relative error 1.340895123367653e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4969341817058223 Order of pole (three term test) 22.444715110089962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000012 y[1] (analytic) -0.738468558729587 y[1] (numeric) -0.738468558729588 absolute error 9.992007221626409e-16 relative error 1.3530714481353144e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49794042226881985 Order of pole (three term test) 22.45466418776784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000012 y[1] (analytic) -0.73168886887382 y[1] (numeric) -0.731688868873821 absolute error 9.992007221626409e-16 relative error 1.3656087507529835e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4987474933020272 Order of pole (three term test) 22.46463139916615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000012 y[1] (analytic) -0.7248360107409043 y[1] (numeric) -0.7248360107409053 absolute error 9.992007221626409e-16 relative error 1.378519702879124e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49935507198779144 Order of pole (three term test) 22.47461275753321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000012 y[1] (analytic) -0.7179106696109425 y[1] (numeric) -0.7179106696109435 absolute error 9.992007221626409e-16 relative error 1.3918176236385202e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997629153027394 Order of pole (three term test) 22.484604270458764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000012 y[1] (analytic) -0.7109135380122765 y[1] (numeric) -0.7109135380122775 absolute error 9.992007221626409e-16 relative error 1.4055165202739268e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999708601149832 Order of pole (three term test) 22.49460194147086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000013 y[1] (analytic) -0.7038453156522352 y[1] (numeric) -0.7038453156522363 absolute error 1.1102230246251565e-15 relative error 1.5773679243660827e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999788232493701 Order of pole (three term test) 22.504601771634405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000013 y[1] (analytic) -0.6967067093471645 y[1] (numeric) -0.6967067093471656 absolute error 1.1102230246251565e-15 relative error 1.5935299742777984e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997868015207524 Order of pole (three term test) 22.514599761150638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000013 y[1] (analytic) -0.6894984329517461 y[1] (numeric) -0.6894984329517472 absolute error 1.1102230246251565e-15 relative error 1.6101893370116687e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993948717352619 Order of pole (three term test) 22.52459191095708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000013 y[1] (analytic) -0.6822212072876126 y[1] (numeric) -0.6822212072876137 absolute error 1.1102230246251565e-15 relative error 1.627365160692089e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4988031906595869 Order of pole (three term test) 22.53457422432703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000013 y[1] (analytic) -0.6748757600712662 y[1] (numeric) -0.6748757600712673 absolute error 1.1102230246251565e-15 relative error 1.645077642895217e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49801199495826826 Order of pole (three term test) 22.544542708468228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000013 y[1] (analytic) -0.6674628258413071 y[1] (numeric) -0.6674628258413082 absolute error 1.1102230246251565e-15 relative error 1.6633481021595022e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.497021601099038 Order of pole (three term test) 22.554493376119936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000013 y[1] (analytic) -0.6599831458849812 y[1] (numeric) -0.6599831458849823 absolute error 1.1102230246251565e-15 relative error 1.682199055456851e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49583240522623423 Order of pole (three term test) 22.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000013 y[1] (analytic) -0.6524374681640508 y[1] (numeric) -0.652437468164052 absolute error 1.2212453270876722e-15 relative error 1.871819732432348e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4944448830023509 Order of pole (three term test) 22.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000013 y[1] (analytic) -0.6448265472400002 y[1] (numeric) -0.6448265472400013 absolute error 1.1102230246251565e-15 relative error 1.721739015518446e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49285958941777686 Order of pole (three term test) 22.584198723974538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000013 y[1] (analytic) -0.6371511441985792 y[1] (numeric) -0.6371511441985803 absolute error 1.1102230246251565e-15 relative error 1.7424798412967086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49107715856880924 Order of pole (three term test) 22.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000013 y[1] (analytic) -0.6294120265736959 y[1] (numeric) -0.629412026573697 absolute error 1.1102230246251565e-15 relative error 1.7639050061830428e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4890983034040225 Order of pole (three term test) 22.603840500804395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000014 y[1] (analytic) -0.6216099682706634 y[1] (numeric) -0.6216099682706646 absolute error 1.2212453270876722e-15 relative error 1.9646488785969947e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48692381543909763 Order of pole (three term test) 22.613601047346542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000014 y[1] (analytic) -0.6137457494888104 y[1] (numeric) -0.6137457494888117 absolute error 1.2212453270876722e-15 relative error 1.9898228673760247e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48455456444022815 Order of pole (three term test) 22.623316154984412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000014 y[1] (analytic) -0.6058201566434618 y[1] (numeric) -0.605820156643463 absolute error 1.2212453270876722e-15 relative error 2.015854562934923e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48199149807622416 Order of pole (three term test) 22.632981937804487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000014 y[1] (analytic) -0.5978339822872971 y[1] (numeric) -0.5978339822872984 absolute error 1.3322676295501878e-15 relative error 2.2284909674304007e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47923564153945714 Order of pole (three term test) 22.64259452962251 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000014 y[1] (analytic) -0.5897880250310971 y[1] (numeric) -0.5897880250310984 absolute error 1.3322676295501878e-15 relative error 2.2588923019926403e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4762880971357977 Order of pole (three term test) 22.652150085529914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000014 y[1] (analytic) -0.5816830894638824 y[1] (numeric) -0.5816830894638837 absolute error 1.3322676295501878e-15 relative error 2.290366788517256e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4731500438437073 Order of pole (three term test) 22.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000014 y[1] (analytic) -0.5735199860724555 y[1] (numeric) -0.5735199860724569 absolute error 1.4432899320127035e-15 relative error 2.516546880774903e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4698227368426626 Order of pole (three term test) 22.671074825575445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000014 y[1] (analytic) -0.5652995311603531 y[1] (numeric) -0.5652995311603546 absolute error 1.4432899320127035e-15 relative error 2.553141922920327e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46630750701110035 Order of pole (three term test) 22.68043644006988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000014 y[1] (analytic) -0.5570225467662161 y[1] (numeric) -0.5570225467662175 absolute error 1.4432899320127035e-15 relative error 2.5910799129975905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626057603940843 Order of pole (three term test) 22.689725882394075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000014 y[1] (analytic) -0.5486898605815864 y[1] (numeric) -0.5486898605815879 absolute error 1.4432899320127035e-15 relative error 2.630429384065675e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.458718977640905 Order of pole (three term test) 22.698939436894957 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; Iterations 200 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 10 Minutes 0.0 Seconds Percent Done 100.50000000000009%