##############ECHO OF PROBLEM################# ##############temp/mult_sin_sinpostode.ode################# diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(-(sin(x) * cos(x))/2.0 + x/2.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 2.040816326530612e-17 est_needed_step_err = 2.040816326530612e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.264789130434852e-177 estimated_step_error = 8.264789130434852e-177 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.54640711081085e-169 estimated_step_error = 5.54640711081085e-169 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.722132165016696e-161 estimated_step_error = 3.722132165016696e-161 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.497882438065287e-153 estimated_step_error = 2.497882438065287e-153 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.676302978444555e-145 estimated_step_error = 1.676302978444555e-145 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.124951174639119e-137 estimated_step_error = 1.124951174639119e-137 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.549463677467823e-130 estimated_step_error = 7.549463677467823e-130 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.066418554253187e-122 estimated_step_error = 5.066418554253187e-122 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.400095450684846e-114 estimated_step_error = 3.400095450684846e-114 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.281872152706583e-106 estimated_step_error = 2.281872152706583e-106 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.531481717098863e-98 estimated_step_error = 1.531481717098863e-98 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.02795223067176e-90 estimated_step_error = 1.02795223067176e-90 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.901050895634196e-83 estimated_step_error = 6.901050895634196e-83 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.634679859924864e-75 estimated_step_error = 4.634679859924864e-75 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.114928548148793e-67 estimated_step_error = 3.114928548148793e-67 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.096629870325226e-59 estimated_step_error = 2.096629870325226e-59 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.41539221715503e-51 estimated_step_error = 1.41539221715503e-51 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.610763028908711e-44 estimated_step_error = 9.610763028908711e-44 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.0003326673012346917 y[1] (numeric) = 0.0003326673012346917 absolute error = 0 relative error = 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 = 0.09735 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.0004425942297826696 y[1] (numeric) = 0.0004425942297826656 absolute error = 3.957337929572091e-18 relative error = 8.941232540503958e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1065 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.0005743433932163533 y[1] (numeric) = 0.0005743433932163485 absolute error = 4.77048955893622e-18 relative error = 8.305988395237258e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1154 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.0007298620269612227 y[1] (numeric) = 0.0007298620269612213 absolute error = 1.409462824231156e-18 relative error = 1.931135984837364e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1242 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.0009110878589715654 y[1] (numeric) = 0.0009110878589715624 absolute error = 3.035766082959412e-18 relative error = 3.332023419109306e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1328 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.001119948334665111 y[1] (numeric) = 0.001119948334665102 absolute error = 8.673617379884035e-18 relative error = 7.744658491302315e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1412 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.001358359845970561 y[1] (numeric) = 0.001358359845970554 absolute error = 6.722053469410127e-18 relative error = 4.948654430083772e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1493 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.001628226964796406 y[1] (numeric) = 0.001628226964796397 absolute error = 9.107298248878237e-18 relative error = 5.593383751642399e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1572 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.001931441681227497 y[1] (numeric) = 0.001931441681227502 absolute error = 4.77048955893622e-18 relative error = 2.469911261262836e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1648 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0.002269882646754331 y[1] (numeric) = 0.002269882646754328 absolute error = 3.469446951953614e-18 relative error = 1.528469745744134e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1722 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0.002645414422837389 y[1] (numeric) = 0.002645414422837373 absolute error = 1.561251128379126e-17 relative error = 5.901726077022659e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1793 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0.003059886735107459 y[1] (numeric) = 0.00305988673510745 absolute error = 9.107298248878237e-18 relative error = 2.976351426471478e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1862 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0.003515133733500098 y[1] (numeric) = 0.003515133733500096 absolute error = 1.734723475976807e-18 relative error = 4.935014163030162e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1927 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0.004012973258620059 y[1] (numeric) = 0.004012973258620055 absolute error = 3.469446951953614e-18 relative error = 8.645577053126571e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1989 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0.004555206114629284 y[1] (numeric) = 0.004555206114629275 absolute error = 9.540979117872439e-18 relative error = 2.094521933317371e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2048 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0.005143615348949249 y[1] (numeric) = 0.005143615348949248 absolute error = 8.673617379884035e-19 relative error = 1.686288105049672e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2104 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0.005779965539065818 y[1] (numeric) = 0.00577996553906582 absolute error = 1.734723475976807e-18 relative error = 3.001269582408584e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2156 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0.006466002086721712 y[1] (numeric) = 0.006466002086721723 absolute error = 1.127570259384925e-17 relative error = 1.743844564635158e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2205 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0.007203450519779164 y[1] (numeric) = 0.007203450519779149 absolute error = 1.561251128379126e-17 relative error = 2.167365659127189e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.225 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0.007994015802031629 y[1] (numeric) = 0.007994015802031611 absolute error = 1.734723475976807e-17 relative error = 2.170027579299928e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2292 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0.008839381651241179 y[1] (numeric) = 0.008839381651241162 absolute error = 1.734723475976807e-17 relative error = 1.962494147691005e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.233 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0.009741209865673728 y[1] (numeric) = 0.009741209865673733 absolute error = 5.204170427930421e-18 relative error = 5.342427172490126e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2364 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0.010701139659402 y[1] (numeric) = 0.01070113965940199 absolute error = 1.387778780781446e-17 relative error = 1.296851386816679e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2395 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0.01172078700664156 y[1] (numeric) = 0.01172078700664156 absolute error = 1.734723475976807e-18 relative error = 1.480040098837928e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2422 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0.01280174399538289 y[1] (numeric) = 0.01280174399538288 absolute error = 1.387778780781446e-17 relative error = 1.084054470454936e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2445 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0.01394557819057723 y[1] (numeric) = 0.01394557819057724 absolute error = 8.673617379884035e-18 relative error = 6.219618334465785e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2464 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0.01515383200713175 y[1] (numeric) = 0.01515383200713172 absolute error = 2.602085213965211e-17 relative error = 1.717113673122817e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2479 Order of pole (three term test) = 22.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0.01642802209296373 y[1] (numeric) = 0.01642802209296374 absolute error = 6.938893903907228e-18 relative error = 4.22381578539465e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.249 Order of pole (three term test) = 22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0.0177696387223622 y[1] (numeric) = 0.01776963872236217 absolute error = 2.775557561562891e-17 relative error = 1.561966230675242e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2497 Order of pole (three term test) = 22.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0.01918014519989747 y[1] (numeric) = 0.01918014519989747 absolute error = 3.469446951953614e-18 relative error = 1.808874185150674e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0.02066097727511937 y[1] (numeric) = 0.02066097727511932 absolute error = 4.510281037539698e-17 relative error = 2.182995013973094e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2499 Order of pole (three term test) = 22.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0.02221354256827607 y[1] (numeric) = 0.02221354256827605 absolute error = 2.081668171172169e-17 relative error = 9.37116700217403e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2494 Order of pole (three term test) = 22.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0.02383922000728522 y[1] (numeric) = 0.02383922000728519 absolute error = 3.469446951953614e-17 relative error = 1.455352545466403e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2485 Order of pole (three term test) = 22.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0.02553935927618081 y[1] (numeric) = 0.02553935927618078 absolute error = 3.469446951953614e-17 relative error = 1.358470631324483e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2472 Order of pole (three term test) = 22.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0.02731528027525776 y[1] (numeric) = 0.0273152802752577 absolute error = 5.898059818321144e-17 relative error = 2.159252901264799e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2455 Order of pole (three term test) = 22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0.02916827259312921 y[1] (numeric) = 0.02916827259312918 absolute error = 3.122502256758253e-17 relative error = 1.070513259497506e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2435 Order of pole (three term test) = 22.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0.03109959499090856 y[1] (numeric) = 0.03109959499090852 absolute error = 3.816391647148976e-17 relative error = 1.227151558811178e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.241 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0.03311047489872149 y[1] (numeric) = 0.03311047489872146 absolute error = 2.775557561562891e-17 relative error = 8.38271746343954e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2381 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0.03520210792475051 y[1] (numeric) = 0.03520210792475047 absolute error = 4.163336342344337e-17 relative error = 1.182695181562439e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2349 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0.03737565737700746 y[1] (numeric) = 0.03737565737700742 absolute error = 4.163336342344337e-17 relative error = 1.113916552784303e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2313 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0.03963225379802596 y[1] (numeric) = 0.03963225379802591 absolute error = 4.85722573273506e-17 relative error = 1.225573937199855e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2273 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0.04197299451265935 y[1] (numeric) = 0.0419729945126593 absolute error = 4.163336342344337e-17 relative error = 9.91908342657955e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.223 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0.04439894318916549 y[1] (numeric) = 0.04439894318916544 absolute error = 4.85722573273506e-17 relative error = 1.09399579896315e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2183 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0.04691112941375353 y[1] (numeric) = 0.04691112941375347 absolute error = 5.551115123125783e-17 relative error = 1.183325831737126e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2132 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0.04951054827876322 y[1] (numeric) = 0.04951054827876317 absolute error = 4.85722573273506e-17 relative error = 9.810486657079682e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2078 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0.05219815998464128 y[1] (numeric) = 0.05219815998464121 absolute error = 6.938893903907228e-17 relative error = 1.329336878148371e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2021 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0.05497488945587387 y[1] (numeric) = 0.0549748894558738 absolute error = 6.938893903907228e-17 relative error = 1.262193334554461e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1961 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0.05784162597102932 y[1] (numeric) = 0.05784162597102923 absolute error = 9.020562075079397e-17 relative error = 1.559527749029299e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1897 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0.06079922280705841 y[1] (numeric) = 0.06079922280705832 absolute error = 9.020562075079397e-17 relative error = 1.48366404348711e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1831 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0.06384849689799504 y[1] (numeric) = 0.06384849689799496 absolute error = 8.326672684688674e-17 relative error = 1.304129789929346e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0.06699022850819353 y[1] (numeric) = 0.06699022850819346 absolute error = 6.938893903907228e-17 relative error = 1.035806871902002e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1689 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0.07022516092023326 y[1] (numeric) = 0.07022516092023315 absolute error = 1.110223024625157e-16 relative error = 1.580947640527626e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1614 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0.0735540001376154 y[1] (numeric) = 0.0735540001376153 absolute error = 9.71445146547012e-17 relative error = 1.320723746811177e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1536 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0.07697741460237123 y[1] (numeric) = 0.07697741460237112 absolute error = 1.110223024625157e-16 relative error = 1.442271126355752e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1456 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0.08049603492769392 y[1] (numeric) = 0.08049603492769382 absolute error = 9.71445146547012e-17 relative error = 1.206823599969388e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1373 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0.08411045364570197 y[1] (numeric) = 0.08411045364570183 absolute error = 1.387778780781446e-16 relative error = 1.649948039309334e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1289 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0.0878212249704339 y[1] (numeric) = 0.08782122497043375 absolute error = 1.52655665885959e-16 relative error = 1.738254800446617e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1202 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0.09162886457617034 y[1] (numeric) = 0.09162886457617023 absolute error = 1.110223024625157e-16 relative error = 1.211652059381612e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1113 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0.09553384939117116 y[1] (numeric) = 0.09553384939117103 absolute error = 1.249000902703301e-16 relative error = 1.3073909516502e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1023 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0.09953661740691028 y[1] (numeric) = 0.09953661740691015 absolute error = 1.249000902703301e-16 relative error = 1.254815499302461e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0931 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0.1036375675028852 y[1] (numeric) = 0.103637567502885 absolute error = 1.249000902703301e-16 relative error = 1.205162310152185e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08375 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0.1078370592870703 y[1] (numeric) = 0.1078370592870701 absolute error = 1.249000902703301e-16 relative error = 1.158229750477865e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07426 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0.1121354129520786 y[1] (numeric) = 0.1121354129520785 absolute error = 1.52655665885959e-16 relative error = 1.361351083187225e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06465 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0.1165329091470891 y[1] (numeric) = 0.1165329091470889 absolute error = 1.665334536937735e-16 relative error = 1.429068019606146e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05495 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0.1210297888655902 y[1] (numeric) = 0.1210297888655901 absolute error = 1.52655665885959e-16 relative error = 1.261306553674079e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04515 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0.1256262533489867 y[1] (numeric) = 0.1256262533489865 absolute error = 1.665334536937735e-16 relative error = 1.325626206738393e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03528 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0.1303224640061045 y[1] (numeric) = 0.1303224640061044 absolute error = 1.665334536937735e-16 relative error = 1.277856852721667e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02535 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0.1351185423486305 y[1] (numeric) = 0.1351185423486304 absolute error = 1.665334536937735e-16 relative error = 1.232498891707156e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01539 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0.1400145699425087 y[1] (numeric) = 0.1400145699425085 absolute error = 1.665334536937735e-16 relative error = 1.189400887080206e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005398 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0.1450105883753153 y[1] (numeric) = 0.1450105883753151 absolute error = 1.942890293094024e-16 relative error = 1.339826501541701e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.004602 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0.1501065992396241 y[1] (numeric) = 0.1501065992396238 absolute error = 2.220446049250313e-16 relative error = 1.479246122754193e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01459 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0.1553025641323693 y[1] (numeric) = 0.1553025641323691 absolute error = 1.942890293094024e-16 relative error = 1.25103555369378e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02456 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0.1605984046702069 y[1] (numeric) = 0.1605984046702067 absolute error = 1.665334536937735e-16 relative error = 1.036955840475218e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03449 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0.1659940025208662 y[1] (numeric) = 0.165994002520866 absolute error = 2.220446049250313e-16 relative error = 1.33766643103337e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04437 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0.1714891994504814 y[1] (numeric) = 0.1714891994504812 absolute error = 1.942890293094024e-16 relative error = 1.132951987250396e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05417 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0.1770837973868832 y[1] (numeric) = 0.177083797386883 absolute error = 1.942890293094024e-16 relative error = 1.097158702130891e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06389 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0.182777558498825 y[1] (numeric) = 0.1827775584988248 absolute error = 1.942890293094024e-16 relative error = 1.062980766923043e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0735 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0.188570205291112 y[1] (numeric) = 0.1885702052911118 absolute error = 1.942890293094024e-16 relative error = 1.030327293802654e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.083 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0.1944614207155958 y[1] (numeric) = 0.1944614207155956 absolute error = 2.220446049250313e-16 relative error = 1.141843992026452e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09236 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0.2004508482979893 y[1] (numeric) = 0.200450848297989 absolute error = 2.220446049250313e-16 relative error = 1.107725942845305e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1016 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0.2065380922804516 y[1] (numeric) = 0.2065380922804514 absolute error = 1.942890293094024e-16 relative error = 9.406934438301261e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1106 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0.2127227177798864 y[1] (numeric) = 0.2127227177798861 absolute error = 2.220446049250313e-16 relative error = 1.043821775325336e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1195 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0.2190042509618884 y[1] (numeric) = 0.2190042509618882 absolute error = 2.220446049250313e-16 relative error = 1.013882625336218e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1282 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0.2253821792302719 y[1] (numeric) = 0.2253821792302717 absolute error = 2.498001805406602e-16 relative error = 1.10834042599899e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1367 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0.2318559514321017 y[1] (numeric) = 0.2318559514321014 absolute error = 2.775557561562891e-16 relative error = 1.197104298776521e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1449 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0.2384249780781469 y[1] (numeric) = 0.2384249780781466 absolute error = 2.498001805406602e-16 relative error = 1.047709776694558e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.153 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0.2450886315786693 y[1] (numeric) = 0.245088631578669 absolute error = 2.775557561562891e-16 relative error = 1.132470952930342e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1607 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0.2518462464944504 y[1] (numeric) = 0.2518462464944501 absolute error = 2.775557561562891e-16 relative error = 1.102084148641085e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1683 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0.2586971198029585 y[1] (numeric) = 0.2586971198029582 absolute error = 2.220446049250313e-16 relative error = 8.583188134995696e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1755 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0.265640511179548 y[1] (numeric) = 0.2656405111795478 absolute error = 1.665334536937735e-16 relative error = 6.269128641346896e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1825 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0.2726756432935801 y[1] (numeric) = 0.2726756432935799 absolute error = 1.665334536937735e-16 relative error = 6.107382811396649e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1892 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0.2798017021193436 y[1] (numeric) = 0.2798017021193435 absolute error = 1.110223024625157e-16 relative error = 3.967892318795165e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1956 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0.2870178372616556 y[1] (numeric) = 0.2870178372616555 absolute error = 1.110223024625157e-16 relative error = 3.86813250081401e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2017 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0.294323162296007 y[1] (numeric) = 0.2943231622960069 absolute error = 1.110223024625157e-16 relative error = 3.772122506310196e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2074 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0.3017167551231215 y[1] (numeric) = 0.3017167551231212 absolute error = 2.220446049250313e-16 relative error = 7.359372694911213e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2128 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0.3091976583377821 y[1] (numeric) = 0.3091976583377819 absolute error = 2.220446049250313e-16 relative error = 7.181315865027002e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2179 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0.3167648796117815 y[1] (numeric) = 0.3167648796117813 absolute error = 1.665334536937735e-16 relative error = 5.257320631563461e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2226 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0.3244173920908391 y[1] (numeric) = 0.3244173920908389 absolute error = 2.220446049250313e-16 relative error = 6.844411253477349e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.227 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0.3321541348053297 y[1] (numeric) = 0.3321541348053296 absolute error = 1.665334536937735e-16 relative error = 5.013740195989916e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.231 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0.339974013094657 y[1] (numeric) = 0.3399740130946568 absolute error = 2.220446049250313e-16 relative error = 6.531222869178789e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2346 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0.3478758990451031 y[1] (numeric) = 0.3478758990451028 absolute error = 2.775557561562891e-16 relative error = 7.978585378238671e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2379 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0.3558586319409789 y[1] (numeric) = 0.3558586319409787 absolute error = 2.775557561562891e-16 relative error = 7.799607238481242e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2408 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0.3639210187288956 y[1] (numeric) = 0.3639210187288953 absolute error = 2.775557561562891e-16 relative error = 7.626813013596651e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2433 Order of pole (three term test) = 22.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0.3720618344949692 y[1] (numeric) = 0.3720618344949689 absolute error = 2.775557561562891e-16 relative error = 7.459936237024658e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2454 Order of pole (three term test) = 22.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0.3802798229547701 y[1] (numeric) = 0.3802798229547699 absolute error = 2.775557561562891e-16 relative error = 7.298724239421484e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2471 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0.3885736969558206 y[1] (numeric) = 0.3885736969558203 absolute error = 2.775557561562891e-16 relative error = 7.142937320017474e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2484 Order of pole (three term test) = 22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0.3969421389924378 y[1] (numeric) = 0.3969421389924376 absolute error = 2.220446049250313e-16 relative error = 5.593878379570618e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2493 Order of pole (three term test) = 22.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 0.4053838017327192 y[1] (numeric) = 0.4053838017327189 absolute error = 2.775557561562891e-16 relative error = 6.846740174864939e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2499 Order of pole (three term test) = 22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 0.4138973085574567 y[1] (numeric) = 0.4138973085574564 absolute error = 2.775557561562891e-16 relative error = 6.705908698069227e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 0.4224812541107666 y[1] (numeric) = 0.4224812541107663 absolute error = 3.33066907387547e-16 relative error = 7.883590198305534e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2497 Order of pole (three term test) = 22.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 0.431134204862213 y[1] (numeric) = 0.4311342048622127 absolute error = 3.33066907387547e-16 relative error = 7.725364947417997e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.249 Order of pole (three term test) = 22.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 0.4398546996802006 y[1] (numeric) = 0.4398546996802002 absolute error = 3.885780586188048e-16 relative error = 8.834236826418433e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.248 Order of pole (three term test) = 22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 0.4486412504164081 y[1] (numeric) = 0.4486412504164077 absolute error = 4.440892098500626e-16 relative error = 9.898537181721019e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2465 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 0.4574923425010277 y[1] (numeric) = 0.4574923425010273 absolute error = 3.885780586188048e-16 relative error = 8.493651642222446e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2446 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 0.4664064355485729 y[1] (numeric) = 0.4664064355485725 absolute error = 3.885780586188048e-16 relative error = 8.331318545417824e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2424 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 0.4753819639740117 y[1] (numeric) = 0.4753819639740113 absolute error = 3.885780586188048e-16 relative error = 8.174017696642098e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2397 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 0.4844173376189803 y[1] (numeric) = 0.4844173376189799 absolute error = 3.885780586188048e-16 relative error = 8.021555556387659e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2367 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 0.4935109423878251 y[1] (numeric) = 0.4935109423878247 absolute error = 3.885780586188048e-16 relative error = 7.873747575660462e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2333 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 0.5026611408932191 y[1] (numeric) = 0.5026611408932188 absolute error = 3.33066907387547e-16 relative error = 6.626072323706852e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2295 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 0.5118662731110956 y[1] (numeric) = 0.5118662731110951 absolute error = 4.440892098500626e-16 relative error = 8.675883393350228e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2254 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 0.5211246570446348 y[1] (numeric) = 0.5211246570446344 absolute error = 4.440892098500626e-16 relative error = 8.52174626256508e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2209 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 0.5304345893970412 y[1] (numeric) = 0.5304345893970408 absolute error = 4.440892098500626e-16 relative error = 8.372176677898595e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.216 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 0.5397943462528388 y[1] (numeric) = 0.5397943462528384 absolute error = 4.440892098500626e-16 relative error = 8.227007432235162e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2108 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 0.5492021837674146 y[1] (numeric) = 0.5492021837674141 absolute error = 4.440892098500626e-16 relative error = 8.086078733403818e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2053 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 0.5586563388645331 y[1] (numeric) = 0.5586563388645327 absolute error = 4.440892098500626e-16 relative error = 7.94923782217655e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1994 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 0.5681550299415434 y[1] (numeric) = 0.568155029941543 absolute error = 4.440892098500626e-16 relative error = 7.816338612645114e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1932 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 0.5776964575819966 y[1] (numeric) = 0.5776964575819961 absolute error = 5.551115123125783e-16 relative error = 9.609051691887643e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1867 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 0.5872788052753879 y[1] (numeric) = 0.5872788052753873 absolute error = 5.551115123125783e-16 relative error = 9.452265386152907e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1799 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 0.5969002401437371 y[1] (numeric) = 0.5969002401437365 absolute error = 5.551115123125783e-16 relative error = 9.299904322017095e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1728 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 0.6065589136747153 y[1] (numeric) = 0.6065589136747147 absolute error = 5.551115123125783e-16 relative error = 9.151815261431849e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1654 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 0.6162529624610248 y[1] (numeric) = 0.6162529624610242 absolute error = 5.551115123125783e-16 relative error = 9.00785142023048e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1578 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 0.6259805089457375 y[1] (numeric) = 0.6259805089457371 absolute error = 4.440892098500626e-16 relative error = 7.094297721793093e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1499 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 0.6357396621732929 y[1] (numeric) = 0.6357396621732925 absolute error = 4.440892098500626e-16 relative error = 6.985394120793594e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1418 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 0.6455285185458544 y[1] (numeric) = 0.6455285185458539 absolute error = 4.440892098500626e-16 relative error = 6.879466934325958e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1335 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 0.6553451625847233 y[1] (numeric) = 0.6553451625847229 absolute error = 4.440892098500626e-16 relative error = 6.776416996786034e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1249 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 0.6651876676965055 y[1] (numeric) = 0.6651876676965049 absolute error = 5.551115123125783e-16 relative error = 8.345186467976584e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1162 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 0.6750540969437219 y[1] (numeric) = 0.6750540969437213 absolute error = 5.551115123125783e-16 relative error = 8.223215218244309e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1072 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 0.6849425038195585 y[1] (numeric) = 0.6849425038195579 absolute error = 5.551115123125783e-16 relative error = 8.104497957376245e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09809 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 0.6948509330264429 y[1] (numeric) = 0.6948509330264423 absolute error = 5.551115123125783e-16 relative error = 7.988929508877169e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08881 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 0.7047774212581371 y[1] (numeric) = 0.7047774212581366 absolute error = 5.551115123125783e-16 relative error = 7.876408857162563e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0794 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 0.7147199979850343 y[1] (numeric) = 0.7147199979850337 absolute error = 5.551115123125783e-16 relative error = 7.766838956200606e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06985 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 0.7246766862423437 y[1] (numeric) = 0.724676686242343 absolute error = 6.661338147750939e-16 relative error = 9.192151857805563e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0602 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 0.7346455034208507 y[1] (numeric) = 0.73464550342085 absolute error = 6.661338147750939e-16 relative error = 9.067418389866479e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05045 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 0.7446244620599338 y[1] (numeric) = 0.7446244620599332 absolute error = 6.661338147750939e-16 relative error = 8.945902917724421e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04062 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 0.7546115706425228 y[1] (numeric) = 0.7546115706425222 absolute error = 6.661338147750939e-16 relative error = 8.827505973807247e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03072 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 0.7646048343916785 y[1] (numeric) = 0.7646048343916778 absolute error = 6.661338147750939e-16 relative error = 8.712131872734909e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02077 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 0.7746022560684771 y[1] (numeric) = 0.7746022560684764 absolute error = 6.661338147750939e-16 relative error = 8.599688544106251e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01079 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 0.7846018367708795 y[1] (numeric) = 0.7846018367708787 absolute error = 7.771561172376096e-16 relative error = 9.905101935984325e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0007963 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 0.7946015767332646 y[1] (numeric) = 0.7946015767332638 absolute error = 7.771561172376096e-16 relative error = 9.78045022805799e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009202 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 0.80459947612631 y[1] (numeric) = 0.8045994761263092 absolute error = 7.771561172376096e-16 relative error = 9.658919006251102e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01918 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 0.8145935358568962 y[1] (numeric) = 0.8145935358568954 absolute error = 7.771561172376096e-16 relative error = 9.540415962423455e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02914 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 0.8245817583677175 y[1] (numeric) = 0.8245817583677167 absolute error = 7.771561172376096e-16 relative error = 9.424852167188511e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03904 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 0.8345621484362783 y[1] (numeric) = 0.8345621484362776 absolute error = 6.661338147750939e-16 relative error = 7.981835936643315e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04889 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 0.8445327139729556 y[1] (numeric) = 0.8445327139729549 absolute error = 6.661338147750939e-16 relative error = 7.887602265179102e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05865 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 0.854491466817808 y[1] (numeric) = 0.8544914668178073 absolute error = 6.661338147750939e-16 relative error = 7.795675447243816e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06832 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 0.8644364235358133 y[1] (numeric) = 0.8644364235358126 absolute error = 6.661338147750939e-16 relative error = 7.705989667237757e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07789 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 0.8743656062102163 y[1] (numeric) = 0.8743656062102156 absolute error = 6.661338147750939e-16 relative error = 7.618481445791693e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08732 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 0.8842770432336687 y[1] (numeric) = 0.8842770432336681 absolute error = 6.661338147750939e-16 relative error = 7.533089543285466e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09662 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 0.8941687700968461 y[1] (numeric) = 0.8941687700968455 absolute error = 6.661338147750939e-16 relative error = 7.449754867897544e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1058 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 0.9040388301742255 y[1] (numeric) = 0.9040388301742248 absolute error = 6.661338147750939e-16 relative error = 7.368420387946359e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1147 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 0.9138852755067091 y[1] (numeric) = 0.9138852755067084 absolute error = 6.661338147750939e-16 relative error = 7.289031048298181e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1235 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 0.9237061675807823 y[1] (numeric) = 0.9237061675807816 absolute error = 6.661338147750939e-16 relative error = 7.211533690629359e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1321 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 0.9334995781038932 y[1] (numeric) = 0.9334995781038925 absolute error = 6.661338147750939e-16 relative error = 7.135876977342962e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1405 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 0.9432635897757439 y[1] (numeric) = 0.9432635897757431 absolute error = 7.771561172376096e-16 relative error = 8.239013205443184e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1487 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 0.9529962970551848 y[1] (numeric) = 0.9529962970551841 absolute error = 7.771561172376096e-16 relative error = 8.154870272204291e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1566 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 0.9626958069224063 y[1] (numeric) = 0.9626958069224055 absolute error = 7.771561172376096e-16 relative error = 8.072706992690254e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1642 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 0.9723602396361206 y[1] (numeric) = 0.9723602396361198 absolute error = 7.771561172376096e-16 relative error = 7.992471159952397e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1717 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 0.9819877294854339 y[1] (numeric) = 0.9819877294854331 absolute error = 7.771561172376096e-16 relative error = 7.914112304079838e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1788 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 0.9915764255361055 y[1] (numeric) = 0.9915764255361047 absolute error = 7.771561172376096e-16 relative error = 7.83758162480953e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1856 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 1.001124492370897 y[1] (numeric) = 1.001124492370896 absolute error = 6.661338147750939e-16 relative error = 6.65385593751216e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1922 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 1.010630110823714 y[1] (numeric) = 1.010630110823714 absolute error = 6.661338147750939e-16 relative error = 6.591272193860931e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1984 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 1.020091478707251 y[1] (numeric) = 1.02009147870725 absolute error = 6.661338147750939e-16 relative error = 6.530138018790991e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2043 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 1.029506811533837 y[1] (numeric) = 1.029506811533836 absolute error = 6.661338147750939e-16 relative error = 6.470416779298793e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2099 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 1.038874343229212 y[1] (numeric) = 1.038874343229212 absolute error = 6.661338147750939e-16 relative error = 6.412073020347189e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2152 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 1.048192326838932 y[1] (numeric) = 1.048192326838931 absolute error = 6.661338147750939e-16 relative error = 6.355072420573574e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2201 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 1.057459035227125 y[1] (numeric) = 1.057459035227124 absolute error = 8.881784197001252e-16 relative error = 8.399175666500965e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2247 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 1.066672761767323 y[1] (numeric) = 1.066672761767322 absolute error = 8.881784197001252e-16 relative error = 8.326625105046665e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2289 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 1.075831821025094 y[1] (numeric) = 1.075831821025093 absolute error = 8.881784197001252e-16 relative error = 8.25573665272175e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2327 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 1.084934549432187 y[1] (numeric) = 1.084934549432186 absolute error = 1.110223024625157e-15 relative error = 1.023308756464806e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2362 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 1.093979305951942 y[1] (numeric) = 1.093979305951941 absolute error = 8.881784197001252e-16 relative error = 8.118786295754138e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2393 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 1.102964472735681 y[1] (numeric) = 1.10296447273568 absolute error = 8.881784197001252e-16 relative error = 8.052647584352174e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.242 Order of pole (three term test) = 22.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 1.111888455769825 y[1] (numeric) = 1.111888455769824 absolute error = 8.881784197001252e-16 relative error = 7.988017278992144e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2443 Order of pole (three term test) = 22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 1.120749685513478 y[1] (numeric) = 1.120749685513478 absolute error = 6.661338147750939e-16 relative error = 5.943644895781529e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2462 Order of pole (three term test) = 22.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 1.129546617526228 y[1] (numeric) = 1.129546617526227 absolute error = 8.881784197001252e-16 relative error = 7.863140891389567e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2478 Order of pole (three term test) = 22.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 1.138277733085892 y[1] (numeric) = 1.138277733085891 absolute error = 8.881784197001252e-16 relative error = 7.802826971693958e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2489 Order of pole (three term test) = 22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 1.146941539795995 y[1] (numeric) = 1.146941539795994 absolute error = 8.881784197001252e-16 relative error = 7.743885707183511e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2496 Order of pole (three term test) = 22.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 1.155536572182703 y[1] (numeric) = 1.155536572182702 absolute error = 8.881784197001252e-16 relative error = 7.686285670928075e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 1.164061392280994 y[1] (numeric) = 1.164061392280993 absolute error = 8.881784197001252e-16 relative error = 7.629996369519031e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2499 Order of pole (three term test) = 22.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 1.172514590209826 y[1] (numeric) = 1.172514590209825 absolute error = 8.881784197001252e-16 relative error = 7.574988210092824e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2495 Order of pole (three term test) = 22.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 1.18089478473607 y[1] (numeric) = 1.180894784736069 absolute error = 8.881784197001252e-16 relative error = 7.521232468637188e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2486 Order of pole (three term test) = 22.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 1.189200623826983 y[1] (numeric) = 1.189200623826983 absolute error = 6.661338147750939e-16 relative error = 5.601525944641698e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2473 Order of pole (three term test) = 22.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 1.197430785191007 y[1] (numeric) = 1.197430785191006 absolute error = 4.440892098500626e-16 relative error = 3.708683753100804e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2457 Order of pole (three term test) = 22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 1.205583976806664 y[1] (numeric) = 1.205583976806664 absolute error = 2.220446049250313e-16 relative error = 1.841801228257698e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2436 Order of pole (three term test) = 22.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 1.21365893743935 y[1] (numeric) = 1.21365893743935 absolute error = 2.220446049250313e-16 relative error = 1.829546984538459e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2412 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 1.22165443714581 y[1] (numeric) = 1.22165443714581 absolute error = 0 relative error = 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 = 0.2384 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 1.229569277766103 y[1] (numeric) = 1.229569277766103 absolute error = 0 relative error = 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 = 0.2352 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 1.237402293402843 y[1] (numeric) = 1.237402293402843 absolute error = 2.220446049250313e-16 relative error = 1.794441517595794e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2316 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 1.245152350887549 y[1] (numeric) = 1.245152350887549 absolute error = 4.440892098500626e-16 relative error = 3.566545166408869e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2277 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 1.252818350233893 y[1] (numeric) = 1.252818350233894 absolute error = 6.661338147750939e-16 relative error = 5.31708219831495e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2233 Order of pole (three term test) = 22.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 1.260399225077685 y[1] (numeric) = 1.260399225077686 absolute error = 8.881784197001252e-16 relative error = 7.046802330788345e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2187 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 1.267893943103396 y[1] (numeric) = 1.267893943103398 absolute error = 1.110223024625157e-15 relative error = 8.756434484635898e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2136 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 1.275301506457081 y[1] (numeric) = 1.275301506457082 absolute error = 1.332267629550188e-15 relative error = 1.04466874915828e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2083 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 1.282620952145496 y[1] (numeric) = 1.282620952145498 absolute error = 1.332267629550188e-15 relative error = 1.03870720911088e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2026 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 1.289851352421293 y[1] (numeric) = 1.289851352421295 absolute error = 1.554312234475219e-15 relative error = 1.205032061684847e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1966 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 1.2969918151541 y[1] (numeric) = 1.296991815154102 absolute error = 1.554312234475219e-15 relative error = 1.198397874461949e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1902 Order of pole (three term test) = 22.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 1.304041484187362 y[1] (numeric) = 1.304041484187364 absolute error = 1.77635683940025e-15 relative error = 1.362193504531967e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1836 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 1.310999539680795 y[1] (numeric) = 1.310999539680797 absolute error = 1.998401444325282e-15 relative error = 1.524334207479475e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1767 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 1.317865198438309 y[1] (numeric) = 1.317865198438311 absolute error = 1.998401444325282e-15 relative error = 1.516392910817752e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1695 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 1.324637714221275 y[1] (numeric) = 1.324637714221278 absolute error = 2.220446049250313e-15 relative error = 1.676266669302605e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.162 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 1.331316378047014 y[1] (numeric) = 1.331316378047017 absolute error = 2.442490654175344e-15 relative error = 1.834643285736766e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1542 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 1.337900518472377 y[1] (numeric) = 1.33790051847238 absolute error = 2.664535259100376e-15 relative error = 1.991579510069073e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1462 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 1.344389501862316 y[1] (numeric) = 1.344389501862319 absolute error = 2.886579864025407e-15 relative error = 2.147130619531596e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.138 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 1.350782732643327 y[1] (numeric) = 1.35078273264333 absolute error = 2.886579864025407e-15 relative error = 2.136968288287711e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1296 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 1.357079653541674 y[1] (numeric) = 1.357079653541678 absolute error = 3.108624468950438e-15 relative error = 2.290672077234099e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1209 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 1.363279745806291 y[1] (numeric) = 1.363279745806294 absolute error = 3.108624468950438e-15 relative error = 2.280254275406908e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1121 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 1.369382529416272 y[1] (numeric) = 1.369382529416275 absolute error = 3.33066907387547e-15 relative error = 2.432241541226057e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.103 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 1.375387563272876 y[1] (numeric) = 1.37538756327288 absolute error = 3.552713678800501e-15 relative error = 2.583063693222915e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09384 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 1.381294445375962 y[1] (numeric) = 1.381294445375966 absolute error = 3.552713678800501e-15 relative error = 2.572017639463916e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0845 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 1.38710281298478 y[1] (numeric) = 1.387102812984784 absolute error = 3.774758283725532e-15 relative error = 2.721325519918004e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07502 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 1.392812342763064 y[1] (numeric) = 1.392812342763068 absolute error = 3.996802888650564e-15 relative error = 2.869591807839452e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06542 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 1.398422750908363 y[1] (numeric) = 1.398422750908367 absolute error = 3.996802888650564e-15 relative error = 2.858079136694815e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05572 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 1.403933793265558 y[1] (numeric) = 1.403933793265563 absolute error = 4.218847493575595e-15 relative error = 3.005018836224841e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04593 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 1.40934526542452 y[1] (numeric) = 1.409345265424525 absolute error = 4.218847493575595e-15 relative error = 2.993480445903936e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03607 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 1.414657002801872 y[1] (numeric) = 1.414657002801876 absolute error = 4.440892098500626e-15 relative error = 3.139200590464677e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02615 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 1.419868880706818 y[1] (numeric) = 1.419868880706822 absolute error = 4.662936703425657e-15 relative error = 3.284061483976199e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01618 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 1.424980814391022 y[1] (numeric) = 1.424980814391027 absolute error = 4.662936703425657e-15 relative error = 3.272280339731032e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.006194 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 1.429992759082503 y[1] (numeric) = 1.429992759082508 absolute error = 4.662936703425657e-15 relative error = 3.260811408875554e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003805 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 1.434904710003543 y[1] (numeric) = 1.434904710003548 absolute error = 4.662936703425657e-15 relative error = 3.249649033080492e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0138 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 1.4397167023726 y[1] (numeric) = 1.439716702372605 absolute error = 4.884981308350689e-15 relative error = 3.393015653913314e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02377 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 1.44442881139022 y[1] (numeric) = 1.444428811390225 absolute error = 4.884981308350689e-15 relative error = 3.381946738966691e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0337 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 1.449041152208957 y[1] (numeric) = 1.449041152208962 absolute error = 5.10702591327572e-15 relative error = 3.524417443555992e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04358 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 1.453553879887314 y[1] (numeric) = 1.45355387988732 absolute error = 5.10702591327572e-15 relative error = 3.513475478233829e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05339 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 1.457967189327725 y[1] (numeric) = 1.45796718932773 absolute error = 5.10702591327572e-15 relative error = 3.502840084920287e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06312 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 1.462281315198589 y[1] (numeric) = 1.462281315198594 absolute error = 5.10702591327572e-15 relative error = 3.492505758088105e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07274 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 1.466496531840414 y[1] (numeric) = 1.46649653184042 absolute error = 5.329070518200751e-15 relative error = 3.63387870512923e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08224 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 1.47061315315608 y[1] (numeric) = 1.470613153156085 absolute error = 5.329070518200751e-15 relative error = 3.62370655176315e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09162 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 1.474631532485281 y[1] (numeric) = 1.474631532485287 absolute error = 5.551115123125783e-15 relative error = 3.764408261208256e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1008 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 1.478552062463199 y[1] (numeric) = 1.478552062463204 absolute error = 5.551115123125783e-15 relative error = 3.754426552878959e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1099 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 1.482375174863449 y[1] (numeric) = 1.482375174863454 absolute error = 5.551115123125783e-15 relative error = 3.744743717552563e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1188 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 1.486101340425379 y[1] (numeric) = 1.486101340425385 absolute error = 5.551115123125783e-15 relative error = 3.735354361188343e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1275 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 1.489731068665781 y[1] (numeric) = 1.489731068665787 absolute error = 5.773159728050814e-15 relative error = 3.875303301032257e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.136 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 1.493264907675089 y[1] (numeric) = 1.493264907675094 absolute error = 5.773159728050814e-15 relative error = 3.866132324129433e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1443 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 1.496703443898149 y[1] (numeric) = 1.496703443898155 absolute error = 5.773159728050814e-15 relative error = 3.857250246591721e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1523 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 1.500047301899654 y[1] (numeric) = 1.50004730189966 absolute error = 5.995204332975845e-15 relative error = 3.996676855045533e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1601 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 1.503297144114321 y[1] (numeric) = 1.503297144114327 absolute error = 5.995204332975845e-15 relative error = 3.988036800607351e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1677 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 1.50645367058193 y[1] (numeric) = 1.506453670581936 absolute error = 6.217248937900877e-15 relative error = 4.127076098861512e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.175 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 1.509517618667314 y[1] (numeric) = 1.50951761866732 absolute error = 6.217248937900877e-15 relative error = 4.118699153302901e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.182 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 1.512489762765425 y[1] (numeric) = 1.512489762765431 absolute error = 6.217248937900877e-15 relative error = 4.110605632485939e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1887 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 1.515370913991586 y[1] (numeric) = 1.515370913991592 absolute error = 6.439293542825908e-15 relative error = 4.249318423213225e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1951 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 1.518161919857056 y[1] (numeric) = 1.518161919857062 absolute error = 6.661338147750939e-15 relative error = 4.387765271031265e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2012 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 1.520863663930035 y[1] (numeric) = 1.520863663930042 absolute error = 6.661338147750939e-15 relative error = 4.379970608632664e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.207 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 1.523477065482252 y[1] (numeric) = 1.523477065482259 absolute error = 6.883382752675971e-15 relative error = 4.518205694482873e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2124 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 1.526003079121266 y[1] (numeric) = 1.526003079121272 absolute error = 6.661338147750939e-15 relative error = 4.365219335983783e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2175 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 1.528442694408633 y[1] (numeric) = 1.52844269440864 absolute error = 6.883382752675971e-15 relative error = 4.503526875987463e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2223 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 1.530796935464101 y[1] (numeric) = 1.530796935464108 absolute error = 6.883382752675971e-15 relative error = 4.496600818311079e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2267 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 1.533066860555973 y[1] (numeric) = 1.533066860555979 absolute error = 6.883382752675971e-15 relative error = 4.489942956682062e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2307 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 1.535253561677809 y[1] (numeric) = 1.535253561677816 absolute error = 6.883382752675971e-15 relative error = 4.483547815484911e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2344 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 1.537358164111652 y[1] (numeric) = 1.537358164111659 absolute error = 6.883382752675971e-15 relative error = 4.477409957785255e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2377 Order of pole (three term test) = 22.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 1.539381825977924 y[1] (numeric) = 1.539381825977931 absolute error = 7.105427357601002e-15 relative error = 4.615766691338671e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2406 Order of pole (three term test) = 22.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 1.541325737772193 y[1] (numeric) = 1.5413257377722 absolute error = 7.105427357601002e-15 relative error = 4.609945311022362e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2431 Order of pole (three term test) = 22.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 1.543191121888994 y[1] (numeric) = 1.543191121889002 absolute error = 7.105427357601002e-15 relative error = 4.604372884742473e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2452 Order of pole (three term test) = 22.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 1.544979232132888 y[1] (numeric) = 1.544979232132895 absolute error = 7.105427357601002e-15 relative error = 4.599043928759973e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.247 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 1.546691353216951 y[1] (numeric) = 1.546691353216958 absolute error = 7.105427357601002e-15 relative error = 4.593952984105382e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2483 Order of pole (three term test) = 22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 1.548328800248912 y[1] (numeric) = 1.548328800248919 absolute error = 7.327471962526033e-15 relative error = 4.732503820472795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2493 Order of pole (three term test) = 22.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 1.549892918205125 y[1] (numeric) = 1.549892918205132 absolute error = 7.327471962526033e-15 relative error = 4.727727881363388e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2498 Order of pole (three term test) = 22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 1.551385081392596 y[1] (numeric) = 1.551385081392603 absolute error = 7.327471962526033e-15 relative error = 4.723180627693384e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 1.55280669289928 y[1] (numeric) = 1.552806692899287 absolute error = 7.327471962526033e-15 relative error = 4.718856504182596e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2498 Order of pole (three term test) = 22.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 1.554159184032862 y[1] (numeric) = 1.55415918403287 absolute error = 7.549516567451064e-15 relative error = 4.857621178714106e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2491 Order of pole (three term test) = 22.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 1.555444013748257 y[1] (numeric) = 1.555444013748265 absolute error = 7.327471962526033e-15 relative error = 4.710855484196139e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2481 Order of pole (three term test) = 22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 1.556662668064044 y[1] (numeric) = 1.556662668064051 absolute error = 7.327471962526033e-15 relative error = 4.707167527592155e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2466 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 1.557816659468078 y[1] (numeric) = 1.557816659468086 absolute error = 7.549516567451064e-15 relative error = 4.846216351305982e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2448 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 1.55890752631252 y[1] (numeric) = 1.558907526312527 absolute error = 7.549516567451064e-15 relative error = 4.842825145189263e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2426 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 1.559936832198509 y[1] (numeric) = 1.559936832198517 absolute error = 7.549516567451064e-15 relative error = 4.839629664241656e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.24 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 1.56090616535075 y[1] (numeric) = 1.560906165350758 absolute error = 7.549516567451064e-15 relative error = 4.836624221901652e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.237 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 1.561817137982241 y[1] (numeric) = 1.561817137982248 absolute error = 7.549516567451064e-15 relative error = 4.833803128325583e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2336 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 1.562671385649408 y[1] (numeric) = 1.562671385649416 absolute error = 7.549516567451064e-15 relative error = 4.831160688537001e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2298 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 1.56347056659791 y[1] (numeric) = 1.563470566597917 absolute error = 7.771561172376096e-15 relative error = 4.970711530110161e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2257 Order of pole (three term test) = 22.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 1.564216361099356 y[1] (numeric) = 1.564216361099364 absolute error = 7.771561172376096e-15 relative error = 4.968341570672564e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2212 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 1.564910470779224 y[1] (numeric) = 1.564910470779232 absolute error = 7.993605777301127e-15 relative error = 5.108027536757951e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2164 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 1.565554617936232 y[1] (numeric) = 1.56555461793624 absolute error = 7.993605777301127e-15 relative error = 5.105925839775921e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2112 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 1.566150544853438 y[1] (numeric) = 1.566150544853446 absolute error = 7.993605777301127e-15 relative error = 5.103983013362981e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2057 Order of pole (three term test) = 22.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 1.566700013101357 y[1] (numeric) = 1.566700013101365 absolute error = 7.993605777301127e-15 relative error = 5.102192960014985e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1999 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 1.567204802833348 y[1] (numeric) = 1.567204802833356 absolute error = 7.993605777301127e-15 relative error = 5.100549566240159e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1937 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 1.567666712073585 y[1] (numeric) = 1.567666712073593 absolute error = 7.993605777301127e-15 relative error = 5.099046701532511e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1872 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 1.568087555997863 y[1] (numeric) = 1.568087555997871 absolute error = 8.215650382226158e-15 relative error = 5.239280390180812e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1804 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 1.568469166207558 y[1] (numeric) = 1.568469166207566 absolute error = 7.993605777301127e-15 relative error = 5.096437946962687e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1734 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 1.56881338999701 y[1] (numeric) = 1.568813389997018 absolute error = 7.993605777301127e-15 relative error = 5.095319703585882e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.166 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 1.569122089614626 y[1] (numeric) = 1.569122089614634 absolute error = 7.993605777301127e-15 relative error = 5.094317281113763e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1584 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 1.569397141518008 y[1] (numeric) = 1.569397141518016 absolute error = 8.215650382226158e-15 relative error = 5.234908465730685e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1506 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 1.569640435623398 y[1] (numeric) = 1.569640435623406 absolute error = 8.215650382226158e-15 relative error = 5.234097055459222e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1425 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 1.569853874549731 y[1] (numeric) = 1.569853874549739 absolute error = 8.215650382226158e-15 relative error = 5.233385422310461e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1341 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = 1.570039372857617 y[1] (numeric) = 1.570039372857625 absolute error = 8.215650382226158e-15 relative error = 5.232767103969448e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1256 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = 1.57019885628354 y[1] (numeric) = 1.570198856283548 absolute error = 7.993605777301127e-15 relative error = 5.090823843943545e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1169 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 1.57033426096959 y[1] (numeric) = 1.570334260969598 absolute error = 7.993605777301127e-15 relative error = 5.090384879182056e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1079 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = 1.570447532689032 y[1] (numeric) = 1.57044753268904 absolute error = 7.993605777301127e-15 relative error = 5.09001772482899e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09882 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = 1.570540626068024 y[1] (numeric) = 1.570540626068032 absolute error = 8.215650382226158e-15 relative error = 5.231097015805767e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08956 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = 1.570615503803788 y[1] (numeric) = 1.570615503803797 absolute error = 8.215650382226158e-15 relative error = 5.23084762777976e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08015 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = 1.570674135879564 y[1] (numeric) = 1.570674135879573 absolute error = 8.215650382226158e-15 relative error = 5.230652364199951e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07062 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = 1.570718498776637 y[1] (numeric) = 1.570718498776646 absolute error = 8.215650382226158e-15 relative error = 5.230504631240393e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06097 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 1.570750574683774 y[1] (numeric) = 1.570750574683782 absolute error = 7.993605777301127e-15 relative error = 5.089035717150962e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05123 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = 1.570772350704374 y[1] (numeric) = 1.570772350704382 absolute error = 8.215650382226158e-15 relative error = 5.23032531005658e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0414 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = 1.570785818061653 y[1] (numeric) = 1.570785818061661 absolute error = 7.993605777301127e-15 relative error = 5.088921535569517e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03151 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 1.570792971302182 y[1] (numeric) = 1.57079297130219 absolute error = 7.993605777301127e-15 relative error = 5.088898361108946e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02157 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = 1.570795807498095 y[1] (numeric) = 1.570795807498103 absolute error = 7.993605777301127e-15 relative error = 5.088889172700967e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01159 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = 1.570796325448285 y[1] (numeric) = 1.570796325448293 absolute error = 7.993605777301127e-15 relative error = 5.088887494704227e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.001593 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = 1.570796524878912 y[1] (numeric) = 1.570796524878921 absolute error = 8.215650382226158e-15 relative error = 5.230244816628606e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.008406 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = 1.570798405643543 y[1] (numeric) = 1.570798405643551 absolute error = 7.993605777301127e-15 relative error = 5.088880755532861e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01839 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = 1.570803966923231 y[1] (numeric) = 1.570803966923239 absolute error = 7.993605777301127e-15 relative error = 5.088862738842189e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02835 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = 1.57081520642687 y[1] (numeric) = 1.570815206426878 absolute error = 7.993605777301127e-15 relative error = 5.088826326989897e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03826 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = 1.570834119592146 y[1] (numeric) = 1.570834119592154 absolute error = 7.993605777301127e-15 relative error = 5.088765056476238e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04811 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = 1.570862698787377 y[1] (numeric) = 1.570862698787385 absolute error = 7.993605777301127e-15 relative error = 5.088672474985733e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05788 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = 1.5709029325146 y[1] (numeric) = 1.570902932514608 absolute error = 7.993605777301127e-15 relative error = 5.088542144679478e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06756 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = 1.570956804614197 y[1] (numeric) = 1.570956804614205 absolute error = 7.993605777301127e-15 relative error = 5.088367645642703e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07713 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = 1.571026293471379 y[1] (numeric) = 1.571026293471387 absolute error = 7.993605777301127e-15 relative error = 5.088142579484305e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08658 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = 1.571113371224864 y[1] (numeric) = 1.571113371224872 absolute error = 7.993605777301127e-15 relative error = 5.087860573084673e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09589 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = 1.571220002978046 y[1] (numeric) = 1.571220002978054 absolute error = 7.771561172376096e-15 relative error = 4.946195413529677e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.105 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = 1.571348146012979 y[1] (numeric) = 1.571348146012987 absolute error = 7.993605777301127e-15 relative error = 5.087100396932087e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.114 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = 1.571499749007494 y[1] (numeric) = 1.571499749007502 absolute error = 7.993605777301127e-15 relative error = 5.086609643017518e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1228 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = 1.571676751255746 y[1] (numeric) = 1.571676751255754 absolute error = 7.993605777301127e-15 relative error = 5.086036788998982e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1314 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = 1.571881081892532 y[1] (numeric) = 1.57188108189254 absolute error = 8.215650382226158e-15 relative error = 5.226636083904377e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1398 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = 1.572114659121655 y[1] (numeric) = 1.572114659121663 absolute error = 8.215650382226158e-15 relative error = 5.225859535471965e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.148 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 1.572379389448672 y[1] (numeric) = 1.57237938944868 absolute error = 8.215650382226158e-15 relative error = 5.224979694694955e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.156 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = 1.572677166918315 y[1] (numeric) = 1.572677166918323 absolute error = 8.215650382226158e-15 relative error = 5.223990374531125e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1636 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 1.573009872356903 y[1] (numeric) = 1.573009872356911 absolute error = 7.993605777301127e-15 relative error = 5.081726388229204e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1711 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = 1.573379372620029 y[1] (numeric) = 1.573379372620037 absolute error = 7.993605777301127e-15 relative error = 5.080532970246065e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1782 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = 1.573787519845849 y[1] (numeric) = 1.573787519845857 absolute error = 7.993605777301127e-15 relative error = 5.079215381047177e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1851 Order of pole (three term test) = 22.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = 1.574236150714249 y[1] (numeric) = 1.574236150714257 absolute error = 7.993605777301127e-15 relative error = 5.077767889953698e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1917 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = 1.574727085712198 y[1] (numeric) = 1.574727085712206 absolute error = 7.993605777301127e-15 relative error = 5.076184851221936e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1979 Order of pole (three term test) = 22.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = 1.575262128405576 y[1] (numeric) = 1.575262128405584 absolute error = 7.993605777301127e-15 relative error = 5.074460709210326e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2039 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = 1.575843064717773 y[1] (numeric) = 1.575843064717781 absolute error = 7.993605777301127e-15 relative error = 5.072590003581827e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2095 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = 1.576471662215346 y[1] (numeric) = 1.576471662215354 absolute error = 7.993605777301127e-15 relative error = 5.07056737453058e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2148 Order of pole (three term test) = 22.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = 1.57714966940101 y[1] (numeric) = 1.577149669401018 absolute error = 8.215650382226158e-15 relative error = 5.209176111577542e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2197 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = 1.577878815014265 y[1] (numeric) = 1.577878815014273 absolute error = 8.215650382226158e-15 relative error = 5.206768925503245e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2243 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = 1.578660807339922 y[1] (numeric) = 1.57866080733993 absolute error = 8.215650382226158e-15 relative error = 5.20418974362815e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2286 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = 1.579497333524812 y[1] (numeric) = 1.57949733352482 absolute error = 8.215650382226158e-15 relative error = 5.201433524355552e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2324 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = 1.580390058902947 y[1] (numeric) = 1.580390058902956 absolute error = 8.215650382226158e-15 relative error = 5.198495356221857e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2359 Order of pole (three term test) = 22.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = 1.581340626329415 y[1] (numeric) = 1.581340626329423 absolute error = 8.215650382226158e-15 relative error = 5.195370463159608e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.239 Order of pole (three term test) = 22.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = 1.582350655523252 y[1] (numeric) = 1.58235065552326 absolute error = 8.215650382226158e-15 relative error = 5.192054209696905e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2418 Order of pole (three term test) = 22.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = 1.583421742419583 y[1] (numeric) = 1.583421742419591 absolute error = 8.43769498715119e-15 relative error = 5.328772973811628e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2441 Order of pole (three term test) = 22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = 1.584555458531263 y[1] (numeric) = 1.584555458531272 absolute error = 8.43769498715119e-15 relative error = 5.324960348798492e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2461 Order of pole (three term test) = 22.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = 1.585753350320299 y[1] (numeric) = 1.585753350320307 absolute error = 8.43769498715119e-15 relative error = 5.320937827718856e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2477 Order of pole (three term test) = 22.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = 1.587016938579281 y[1] (numeric) = 1.587016938579289 absolute error = 8.43769498715119e-15 relative error = 5.316701279007602e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2488 Order of pole (three term test) = 22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = 1.588347717823086 y[1] (numeric) = 1.588347717823094 absolute error = 8.43769498715119e-15 relative error = 5.312246740729728e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2496 Order of pole (three term test) = 22.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = 1.589747155691096 y[1] (numeric) = 1.589747155691104 absolute error = 8.215650382226158e-15 relative error = 5.16789751931001e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = 1.591216692360156 y[1] (numeric) = 1.591216692360164 absolute error = 8.43769498715119e-15 relative error = 5.302668723664572e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2499 Order of pole (three term test) = 22.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = 1.592757739968526 y[1] (numeric) = 1.592757739968534 absolute error = 8.43769498715119e-15 relative error = 5.297538210247796e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2495 Order of pole (three term test) = 22.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = 1.594371682051044 y[1] (numeric) = 1.594371682051053 absolute error = 8.43769498715119e-15 relative error = 5.292175646456981e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2487 Order of pole (three term test) = 22.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = 1.596059872985731 y[1] (numeric) = 1.596059872985739 absolute error = 8.43769498715119e-15 relative error = 5.286577984926649e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2475 Order of pole (three term test) = 22.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = 1.597823637452055 y[1] (numeric) = 1.597823637452064 absolute error = 8.43769498715119e-15 relative error = 5.280742373173444e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2458 Order of pole (three term test) = 22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = 1.599664269901081 y[1] (numeric) = 1.59966426990109 absolute error = 8.43769498715119e-15 relative error = 5.27466615708867e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2438 Order of pole (three term test) = 22.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = 1.601583034037705 y[1] (numeric) = 1.601583034037714 absolute error = 8.43769498715119e-15 relative error = 5.268346884194419e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2414 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = 1.60358116231519 y[1] (numeric) = 1.603581162315198 absolute error = 8.43769498715119e-15 relative error = 5.26178230665242e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2386 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = 1.6056598554422 y[1] (numeric) = 1.605659855442208 absolute error = 8.43769498715119e-15 relative error = 5.254970384015389e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2355 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = 1.607820281902534 y[1] (numeric) = 1.607820281902542 absolute error = 8.43769498715119e-15 relative error = 5.247909285711252e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2319 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = 1.610063577487747 y[1] (numeric) = 1.610063577487756 absolute error = 8.43769498715119e-15 relative error = 5.240597393251324e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.228 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = 1.612390844842851 y[1] (numeric) = 1.612390844842859 absolute error = 8.659739592076221e-15 relative error = 5.370744704842473e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2237 Order of pole (three term test) = 22.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = 1.614803153025266 y[1] (numeric) = 1.614803153025275 absolute error = 8.659739592076221e-15 relative error = 5.362721503145793e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2191 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = 1.617301537077219 y[1] (numeric) = 1.617301537077227 absolute error = 8.659739592076221e-15 relative error = 5.354437248434247e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2141 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = 1.619886997611732 y[1] (numeric) = 1.619886997611741 absolute error = 8.659739592076221e-15 relative error = 5.345891167003402e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2087 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = 1.622560500412401 y[1] (numeric) = 1.62256050041241 absolute error = 8.881784197001252e-15 relative error = 5.473930984233747e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2031 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = 1.625322976047084 y[1] (numeric) = 1.625322976047092 absolute error = 8.881784197001252e-15 relative error = 5.464627232799272e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1971 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = 1.628175319495694 y[1] (numeric) = 1.628175319495703 absolute error = 8.881784197001252e-15 relative error = 5.455053943301555e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1908 Order of pole (three term test) = 22.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = 1.631118389792217 y[1] (numeric) = 1.631118389792226 absolute error = 9.103828801926284e-15 relative error = 5.58134152548301e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1841 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = 1.634153009681109 y[1] (numeric) = 1.634153009681119 absolute error = 9.325873406851315e-15 relative error = 5.706854469319968e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1772 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = 1.63727996528821 y[1] (numeric) = 1.63727996528822 absolute error = 9.325873406851315e-15 relative error = 5.695955245631851e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.17 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = 1.640500005806304 y[1] (numeric) = 1.640500005806313 absolute error = 9.325873406851315e-15 relative error = 5.684774991675578e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1626 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = 1.643813843195449 y[1] (numeric) = 1.643813843195459 absolute error = 9.547918011776346e-15 relative error = 5.808393724934157e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1548 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = 1.64722215189821 y[1] (numeric) = 1.64722215189822 absolute error = 9.547918011776346e-15 relative error = 5.796375431676661e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1469 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = 1.650725568569883 y[1] (numeric) = 1.650725568569892 absolute error = 9.547918011776346e-15 relative error = 5.784073496873408e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1387 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = 1.654324691823844 y[1] (numeric) = 1.654324691823854 absolute error = 9.547918011776346e-15 relative error = 5.771489755889485e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1302 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = 1.658020081992114 y[1] (numeric) = 1.658020081992124 absolute error = 9.769962616701378e-15 relative error = 5.892547818216259e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1216 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = 1.661812260901232 y[1] (numeric) = 1.661812260901242 absolute error = 9.769962616701378e-15 relative error = 5.879101295956826e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1128 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = 1.66570171166353 y[1] (numeric) = 1.665701711663539 absolute error = 9.769962616701378e-15 relative error = 5.865373462901803e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1038 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = 1.669688878483894 y[1] (numeric) = 1.669688878483904 absolute error = 9.769962616701378e-15 relative error = 5.851367127493039e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09458 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = 1.673774166482094 y[1] (numeric) = 1.673774166482104 absolute error = 9.769962616701378e-15 relative error = 5.837085320318746e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08525 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = 1.677957941530734 y[1] (numeric) = 1.677957941530744 absolute error = 9.992007221626409e-15 relative error = 5.954861545880644e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07578 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = 1.682240530108911 y[1] (numeric) = 1.682240530108921 absolute error = 9.992007221626409e-15 relative error = 5.93970186949396e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06619 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = 1.686622219171629 y[1] (numeric) = 1.686622219171639 absolute error = 1.021405182655144e-14 relative error = 6.055921539779068e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0565 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = 1.691103256035019 y[1] (numeric) = 1.691103256035029 absolute error = 1.021405182655144e-14 relative error = 6.039874732722963e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04671 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = 1.695683848277415 y[1] (numeric) = 1.695683848277426 absolute error = 1.043609643147647e-14 relative error = 6.154506007755e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03686 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = 1.70036416365633 y[1] (numeric) = 1.700364163656341 absolute error = 1.043609643147647e-14 relative error = 6.137565501871967e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02694 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = 1.705144330041349 y[1] (numeric) = 1.70514433004136 absolute error = 1.06581410364015e-14 relative error = 6.250579994095308e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01698 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = 1.710024435362987 y[1] (numeric) = 1.710024435362997 absolute error = 1.06581410364015e-14 relative error = 6.232741951514336e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.00699 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = 1.715004527577516 y[1] (numeric) = 1.715004527577527 absolute error = 1.088018564132653e-14 relative error = 6.344114820906654e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003009 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = 1.720084614647786 y[1] (numeric) = 1.720084614647797 absolute error = 1.088018564132653e-14 relative error = 6.325378152140743e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.013 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = 1.725264664540036 y[1] (numeric) = 1.725264664540047 absolute error = 1.088018564132653e-14 relative error = 6.30638641418373e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02298 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = 1.73054460523671 y[1] (numeric) = 1.730544605236721 absolute error = 1.088018564132653e-14 relative error = 6.287145450283441e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03291 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = 1.735924324765262 y[1] (numeric) = 1.735924324765272 absolute error = 1.088018564132653e-14 relative error = 6.267661260405343e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0428 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 1.741403671242942 y[1] (numeric) = 1.741403671242953 absolute error = 1.13242748511766e-14 relative error = 6.502957951784836e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05261 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = 1.746982452937552 y[1] (numeric) = 1.746982452937564 absolute error = 1.13242748511766e-14 relative error = 6.482191525241034e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06234 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = 1.752660438344131 y[1] (numeric) = 1.752660438344142 absolute error = 1.154631945610163e-14 relative error = 6.587881601875089e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07198 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = 1.758437356277555 y[1] (numeric) = 1.758437356277567 absolute error = 1.13242748511766e-14 relative error = 6.439964898805955e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08149 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = 1.76431289598101 y[1] (numeric) = 1.764312895981022 absolute error = 1.154631945610163e-14 relative error = 6.544371739504592e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09088 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = 1.770286707250288 y[1] (numeric) = 1.7702867072503 absolute error = 1.176836406102666e-14 relative error = 6.647716447753236e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1001 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = 1.776358400573866 y[1] (numeric) = 1.776358400573878 absolute error = 1.176836406102666e-14 relative error = 6.624994177540299e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1092 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = 1.782527547288702 y[1] (numeric) = 1.782527547288714 absolute error = 1.199040866595169e-14 relative error = 6.726633024095249e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1181 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = 1.788793679751701 y[1] (numeric) = 1.788793679751713 absolute error = 1.221245327087672e-14 relative error = 6.827200592844174e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1268 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = 1.795156291526757 y[1] (numeric) = 1.795156291526769 absolute error = 1.243449787580175e-14 relative error = 6.926693756133276e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1353 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 1.801614837587329 y[1] (numeric) = 1.801614837587341 absolute error = 1.265654248072678e-14 relative error = 7.025110038323211e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1436 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = 1.808168734534439 y[1] (numeric) = 1.808168734534452 absolute error = 1.265654248072678e-14 relative error = 6.999646791252336e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1517 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = 1.814817360830028 y[1] (numeric) = 1.814817360830041 absolute error = 1.287858708565182e-14 relative error = 7.096354356981489e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1595 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = 1.821560057045558 y[1] (numeric) = 1.821560057045571 absolute error = 1.310063169057685e-14 relative error = 7.191984496972967e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1671 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = 1.828396126125779 y[1] (numeric) = 1.828396126125792 absolute error = 1.310063169057685e-14 relative error = 7.165094862859949e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1744 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = 1.835324833667539 y[1] (numeric) = 1.835324833667552 absolute error = 1.310063169057685e-14 relative error = 7.13804523878086e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1814 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = 1.842345408213536 y[1] (numeric) = 1.84234540821355 absolute error = 1.332267629550188e-14 relative error = 7.231367275705619e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1882 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = 1.849457041560895 y[1] (numeric) = 1.849457041560908 absolute error = 1.332267629550188e-14 relative error = 7.203560826834818e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1946 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = 1.85665888908443 y[1] (numeric) = 1.856658889084443 absolute error = 1.332267629550188e-14 relative error = 7.175618727719909e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2007 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = 1.863950070074489 y[1] (numeric) = 1.863950070074503 absolute error = 1.354472090042691e-14 relative error = 7.266675818137993e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2065 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = 1.871329668089226 y[1] (numeric) = 1.87132966808924 absolute error = 1.398881011027697e-14 relative error = 7.475331764798367e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.212 Order of pole (three term test) = 22.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = 1.878796731321161 y[1] (numeric) = 1.878796731321175 absolute error = 1.4210854715202e-14 relative error = 7.563806386446607e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2171 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = 1.886350272977896 y[1] (numeric) = 1.88635027297791 absolute error = 1.4210854715202e-14 relative error = 7.533518519213281e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2219 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = 1.893989271676814 y[1] (numeric) = 1.893989271676829 absolute error = 1.443289932012704e-14 relative error = 7.620370155185246e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2263 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = 1.901712671853623 y[1] (numeric) = 1.901712671853638 absolute error = 1.443289932012704e-14 relative error = 7.589421648044816e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2304 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = 1.909519384184563 y[1] (numeric) = 1.909519384184578 absolute error = 1.465494392505207e-14 relative error = 7.674676699503775e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2341 Order of pole (three term test) = 22.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = 1.917408286022125 y[1] (numeric) = 1.91740828602214 absolute error = 1.509903313490213e-14 relative error = 7.874709442414449e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2374 Order of pole (three term test) = 22.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = 1.92537822184409 y[1] (numeric) = 1.925378221844106 absolute error = 1.509903313490213e-14 relative error = 7.842112767038864e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2403 Order of pole (three term test) = 22.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = 1.93342800371573 y[1] (numeric) = 1.933428003715746 absolute error = 1.532107773982716e-14 relative error = 7.924307349631107e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2429 Order of pole (three term test) = 22.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = 1.941556411764959 y[1] (numeric) = 1.941556411764974 absolute error = 1.576516694967722e-14 relative error = 8.119860362618053e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2451 Order of pole (three term test) = 22.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = 1.949762194670268 y[1] (numeric) = 1.949762194670284 absolute error = 1.598721155460225e-14 relative error = 8.199569977458671e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2469 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = 1.958044070161238 y[1] (numeric) = 1.958044070161254 absolute error = 1.598721155460225e-14 relative error = 8.164888522292432e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2482 Order of pole (three term test) = 22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = 1.966400725531432 y[1] (numeric) = 1.966400725531448 absolute error = 1.643130076445232e-14 relative error = 8.356028631962417e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2492 Order of pole (three term test) = 22.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = 1.974830818163456 y[1] (numeric) = 1.974830818163472 absolute error = 1.643130076445232e-14 relative error = 8.320358692666659e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2498 Order of pole (three term test) = 22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = 1.98333297606599 y[1] (numeric) = 1.983332976066006 absolute error = 1.665334536937735e-14 relative error = 8.396646236583956e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = 1.991905798422569 y[1] (numeric) = 1.991905798422585 absolute error = 1.687538997430238e-14 relative error = 8.471981951991078e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2498 Order of pole (three term test) = 22.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = 2.000547856151887 y[1] (numeric) = 2.000547856151904 absolute error = 1.687538997430238e-14 relative error = 8.435384298560442e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2492 Order of pole (three term test) = 22.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = 2.009257692479412 y[1] (numeric) = 2.009257692479429 absolute error = 1.731947918415244e-14 relative error = 8.61983967958849e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2482 Order of pole (three term test) = 22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = 2.018033823520078 y[1] (numeric) = 2.018033823520095 absolute error = 1.731947918415244e-14 relative error = 8.582353269947622e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2468 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = 2.026874738871815 y[1] (numeric) = 2.026874738871833 absolute error = 1.77635683940025e-14 relative error = 8.764018838130045e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.245 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = 2.035778902219695 y[1] (numeric) = 2.035778902219713 absolute error = 1.820765760385257e-14 relative error = 8.943828617145012e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2428 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = 2.044744751950433 y[1] (numeric) = 2.044744751950452 absolute error = 1.865174681370263e-14 relative error = 9.12179713184796e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2402 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = 2.053770701777015 y[1] (numeric) = 2.053770701777033 absolute error = 1.865174681370263e-14 relative error = 9.081708487497801e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2372 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = 2.062855141373187 y[1] (numeric) = 2.062855141373206 absolute error = 1.909583602355269e-14 relative error = 9.25699320352718e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2339 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = 2.071996437017571 y[1] (numeric) = 2.071996437017591 absolute error = 1.953992523340276e-14 relative error = 9.430482062762859e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2301 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = 2.081192932247125 y[1] (numeric) = 2.081192932247145 absolute error = 1.953992523340276e-14 relative error = 9.388810105320185e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2261 Order of pole (three term test) = 22.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = 2.090442948519709 y[1] (numeric) = 2.090442948519729 absolute error = 1.998401444325282e-14 relative error = 9.559703342970426e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2216 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = 2.099744785885482 y[1] (numeric) = 2.099744785885502 absolute error = 1.998401444325282e-14 relative error = 9.517354003012978e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2168 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = 2.109096723666852 y[1] (numeric) = 2.109096723666873 absolute error = 2.042810365310288e-14 relative error = 9.68571209839386e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2116 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = 2.118497021146734 y[1] (numeric) = 2.118497021146755 absolute error = 2.042810365310288e-14 relative error = 9.642734188054335e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2062 Order of pole (three term test) = 22.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = 2.127943918264805 y[1] (numeric) = 2.127943918264826 absolute error = 2.042810365310288e-14 relative error = 9.599925767668078e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2003 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = 2.137435636321509 y[1] (numeric) = 2.13743563632153 absolute error = 2.087219286295294e-14 relative error = 9.765062633125009e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1942 Order of pole (three term test) = 22.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = 2.146970378689512 y[1] (numeric) = 2.146970378689533 absolute error = 2.087219286295294e-14 relative error = 9.721695776582213e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1877 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = 2.156546331532328 y[1] (numeric) = 2.15654633153235 absolute error = 2.131628207280301e-14 relative error = 9.884453564072875e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.181 Order of pole (three term test) = 22.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = 2.166161664529834 y[1] (numeric) = 2.166161664529856 absolute error = 2.131628207280301e-14 relative error = 9.840577654867558e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.174 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = 2.175814531610367 y[1] (numeric) = 2.175814531610389 absolute error = 2.176037128265307e-14 relative error = 1.000102304976691e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1666 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = 2.185503071689132 y[1] (numeric) = 2.185503071689154 absolute error = 2.176037128265307e-14 relative error = 9.95668757666623e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.159 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = 2.195225409412611 y[1] (numeric) = 2.195225409412633 absolute error = 2.220446049250313e-14 relative error = 1.011488861111739e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1512 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = 2.204979655908677 y[1] (numeric) = 2.2049796559087 absolute error = 2.220446049250313e-14 relative error = 1.007014302059518e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1431 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = 2.214763909542123 y[1] (numeric) = 2.214763909542145 absolute error = 2.220446049250313e-14 relative error = 1.002565573551072e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1348 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = 2.224576256675282 y[1] (numeric) = 2.224576256675304 absolute error = 2.264854970235319e-14 relative error = 1.018106240880335e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1263 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = 2.234414772433467 y[1] (numeric) = 2.234414772433489 absolute error = 2.264854970235319e-14 relative error = 1.013623342531298e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1176 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = 2.244277521474885 y[1] (numeric) = 2.244277521474908 absolute error = 2.309263891220326e-14 relative error = 1.028956476693993e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1086 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = 2.254162558764758 y[1] (numeric) = 2.254162558764781 absolute error = 2.353672812205332e-14 relative error = 1.044145109701008e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09955 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = 2.2640679303533 y[1] (numeric) = 2.264067930353324 absolute error = 2.398081733190338e-14 relative error = 1.059191599792735e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0903 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = 2.273991674157283 y[1] (numeric) = 2.273991674157307 absolute error = 2.442490654175344e-14 relative error = 1.074098327594144e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08091 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = 2.283931820744832 y[1] (numeric) = 2.283931820744856 absolute error = 2.442490654175344e-14 relative error = 1.069423628144383e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07138 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = 2.29388639412318 y[1] (numeric) = 2.293886394123204 absolute error = 2.442490654175344e-14 relative error = 1.064782746186943e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06174 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = 2.303853412529036 y[1] (numeric) = 2.303853412529061 absolute error = 2.442490654175344e-14 relative error = 1.060176242504127e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05201 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = 2.313830889221264 y[1] (numeric) = 2.313830889221289 absolute error = 2.486899575160351e-14 relative error = 1.07479746542641e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04219 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = 2.323816833275553 y[1] (numeric) = 2.323816833275578 absolute error = 2.486899575160351e-14 relative error = 1.070178828016717e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0323 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = 2.333809250380759 y[1] (numeric) = 2.333809250380784 absolute error = 2.486899575160351e-14 relative error = 1.065596759784295e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02236 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = 2.343806143636605 y[1] (numeric) = 2.34380614363663 absolute error = 2.531308496145357e-14 relative error = 1.079999087389466e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01238 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = 2.353805514352412 y[1] (numeric) = 2.353805514352437 absolute error = 2.575717417130363e-14 relative error = 1.094277926287807e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002389 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = 2.363805362846552 y[1] (numeric) = 2.363805362846578 absolute error = 2.575717417130363e-14 relative error = 1.089648690037923e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.00761 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = 2.373803689246291 y[1] (numeric) = 2.373803689246317 absolute error = 2.620126338115369e-14 relative error = 1.103767068011967e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0176 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = 2.383798494287712 y[1] (numeric) = 2.383798494287738 absolute error = 2.664535259100376e-14 relative error = 1.11776866437553e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02755 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = 2.393787780115396 y[1] (numeric) = 2.393787780115422 absolute error = 2.664535259100376e-14 relative error = 1.113104211339874e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03747 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = 2.403769551081533 y[1] (numeric) = 2.40376955108156 absolute error = 2.708944180085382e-14 relative error = 1.126956691362756e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04732 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = 2.413741814544162 y[1] (numeric) = 2.413741814544189 absolute error = 2.708944180085382e-14 relative error = 1.12230072154464e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0571 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = 2.423702581664192 y[1] (numeric) = 2.423702581664219 absolute error = 2.753353101070388e-14 relative error = 1.13601112690149e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06679 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = 2.433649868200917 y[1] (numeric) = 2.433649868200945 absolute error = 2.753353101070388e-14 relative error = 1.131367801525949e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07637 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = 2.443581695305688 y[1] (numeric) = 2.443581695305715 absolute error = 2.753353101070388e-14 relative error = 1.126769408348326e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08583 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = 2.453496090313417 y[1] (numeric) = 2.453496090313445 absolute error = 2.753353101070388e-14 relative error = 1.122216217071154e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09515 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = 2.463391087531627 y[1] (numeric) = 2.463391087531655 absolute error = 2.797762022055394e-14 relative error = 1.135736033233284e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1043 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = 2.473264729026696 y[1] (numeric) = 2.473264729026724 absolute error = 2.842170943040401e-14 relative error = 1.149157593072894e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1133 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = 2.483115065407007 y[1] (numeric) = 2.483115065407036 absolute error = 2.886579864025407e-14 relative error = 1.16248332759089e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1221 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = 2.492940156602678 y[1] (numeric) = 2.492940156602707 absolute error = 2.886579864025407e-14 relative error = 1.157901787726494e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1308 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = 2.502738072641565 y[1] (numeric) = 2.502738072641594 absolute error = 2.886579864025407e-14 relative error = 1.153368742650208e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1392 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = 2.512506894421223 y[1] (numeric) = 2.512506894421252 absolute error = 2.930988785010413e-14 relative error = 1.166559499406107e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1474 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = 2.522244714476524 y[1] (numeric) = 2.522244714476553 absolute error = 2.930988785010413e-14 relative error = 1.162055675322813e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1553 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = 2.531949637742616 y[1] (numeric) = 2.531949637742645 absolute error = 2.930988785010413e-14 relative error = 1.157601534137766e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.163 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = 2.541619782312924 y[1] (numeric) = 2.541619782312954 absolute error = 2.97539770599542e-14 relative error = 1.170669872299998e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1705 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = 2.551253280191887 y[1] (numeric) = 2.551253280191918 absolute error = 3.019806626980426e-14 relative error = 1.183656146736359e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1777 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = 2.560848278042135 y[1] (numeric) = 2.560848278042165 absolute error = 3.019806626980426e-14 relative error = 1.179221218560118e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1846 Order of pole (three term test) = 22.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = 2.57040293792579 y[1] (numeric) = 2.570402937925821 absolute error = 3.019806626980426e-14 relative error = 1.1748378366768e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1912 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = 2.57991543803963 y[1] (numeric) = 2.57991543803966 absolute error = 3.064215547965432e-14 relative error = 1.187719373582958e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1974 Order of pole (three term test) = 22.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = 2.589383973443772 y[1] (numeric) = 2.589383973443804 absolute error = 3.108624468950438e-14 relative error = 1.200526650675179e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2034 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = 2.598806756783637 y[1] (numeric) = 2.598806756783668 absolute error = 3.108624468950438e-14 relative error = 1.196173767378444e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2091 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = 2.608182019004857 y[1] (numeric) = 2.608182019004889 absolute error = 3.153033389935445e-14 relative error = 1.208900823240271e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2144 Order of pole (three term test) = 22.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = 2.617508010060881 y[1] (numeric) = 2.617508010060912 absolute error = 3.153033389935445e-14 relative error = 1.204593597351439e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2194 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = 2.626782999612964 y[1] (numeric) = 2.626782999612996 absolute error = 3.197442310920451e-14 relative error = 1.217246461314684e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.224 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = 2.636005277722285 y[1] (numeric) = 2.636005277722317 absolute error = 3.197442310920451e-14 relative error = 1.212987825913342e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2282 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ; Iterations = 491 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100.4 %