##############ECHO OF PROBLEM################# ##############temp/sing3_backpostode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-0.7; x_end=-2.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=0.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=2.0; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0/x/x); } /* 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 = -1.3 estimated_steps = 1300000 step_error = 4.385290096535146e-15 est_needed_step_err = 4.385290096535146e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 1300000 step_error = 8.949571625581931e-15 est_needed_step_err = 8.949571625581931e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.151426604336032e-93 estimated_step_error = 1.151426604336032e-93 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -2e-06 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 650000 step_error = 1.26566055703274e-14 est_needed_step_err = 1.26566055703274e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.545984321249431e-89 estimated_step_error = 7.545984321249431e-89 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -4e-06 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 325000 step_error = 1.789914325116386e-14 est_needed_step_err = 1.789914325116386e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.945329635600357e-84 estimated_step_error = 4.945329635600357e-84 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -8e-06 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 162500 step_error = 2.531321114065479e-14 est_needed_step_err = 2.531321114065479e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.240962514817413e-79 estimated_step_error = 3.240962514817413e-79 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -1.6e-05 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 81250 step_error = 3.579828650232773e-14 est_needed_step_err = 3.579828650232773e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.123985770656064e-74 estimated_step_error = 2.123985770656064e-74 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -3.2e-05 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 40625 step_error = 5.062642228130959e-14 est_needed_step_err = 5.062642228130959e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.391960342473341e-69 estimated_step_error = 1.391960342473341e-69 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -6.4e-05 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 20312.5 step_error = 7.159657300465545e-14 est_needed_step_err = 7.159657300465545e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.122155063379819e-65 estimated_step_error = 9.122155063379819e-65 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.000128 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 10156.25 step_error = 1.012528445626192e-13 est_needed_step_err = 1.012528445626192e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.97803834716196e-60 estimated_step_error = 5.97803834716196e-60 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.000256 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 5078.125 step_error = 1.431931460093109e-13 est_needed_step_err = 1.431931460093109e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.917430143993059e-55 estimated_step_error = 3.917430143993059e-55 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.000512 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 2539.0625 step_error = 2.025056891252383e-13 est_needed_step_err = 2.025056891252383e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.566885332850637e-50 estimated_step_error = 2.566885332850637e-50 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.001024 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 1269.53125 step_error = 2.863862920186218e-13 est_needed_step_err = 2.863862920186218e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.681655344378907e-45 estimated_step_error = 1.681655344378907e-45 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.002048 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 634.765625 step_error = 4.050113782504767e-13 est_needed_step_err = 4.050113782504767e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.10133201281393e-40 estimated_step_error = 1.10133201281393e-40 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.004096 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 317.3828125 step_error = 5.727725840372436e-13 est_needed_step_err = 5.727725840372436e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.207779545357236e-36 estimated_step_error = 7.207779545357236e-36 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.040816326530612 glob_desired_digits_correct = 10 estimated_h = -0.008192 estimated_answer = 2.040816326530612 desired_abs_gbl_error = 2.040816326530612e-10 range = -1.3 estimated_steps = 158.69140625 step_error = 8.100227565009534e-13 est_needed_step_err = 8.100227565009534e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.710754790217147e-31 estimated_step_error = 4.710754790217147e-31 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4272 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = 2.040816326530612 y[1] (numeric) = 2.040816326530612 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = -0.01 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 2.431e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (analytic) = 1.983733386232891 y[1] (numeric) = 1.983733386199099 absolute error = 3.379141411130604e-11 relative error = 1.703425185350937e-09 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.71 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.71 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = 1.929012345679012 y[1] (numeric) = 1.929012345615044 absolute error = 6.396838614364242e-11 relative error = 3.316121137686423e-09 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.72 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.72 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = 1.876524676299493 y[1] (numeric) = 1.876524676208532 absolute error = 9.096101649674893e-11 relative error = 4.84731256911175e-09 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.73 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.73 Order of pole (three term test) = 4.281e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = 1.826150474799124 y[1] (numeric) = 1.826150474683982 absolute error = 1.151418960176898e-10 relative error = 6.305170225928691e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.74 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.74 Order of pole (three term test) = 3.219e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = 1.777777777777778 y[1] (numeric) = 1.777777777640942 absolute error = 1.368360980080752e-10 relative error = 7.697030512954228e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.75 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.75 Order of pole (three term test) = 2.408e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = 1.731301939058172 y[1] (numeric) = 1.731301938901844 absolute error = 1.56328283651419e-10 relative error = 9.029521663705964e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.76 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.76 Order of pole (three term test) = 3.583e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = 1.68662506324844 y[1] (numeric) = 1.686625063074574 absolute error = 1.738660326822128e-10 relative error = 1.03085170777284e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.77 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.77 Order of pole (three term test) = 5.303e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (analytic) = 1.643655489809336 y[1] (numeric) = 1.643655489619668 absolute error = 1.896673929024928e-10 relative error = 1.153936418418766e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.78 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.78 Order of pole (three term test) = 3.905e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = 1.602307322544464 y[1] (numeric) = 1.602307322340541 absolute error = 2.039231006278897e-10 relative error = 1.27268407101866e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.79 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.79 Order of pole (three term test) = 2.861e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = 1.5625 y[1] (numeric) = 1.562499999783198 absolute error = 2.168019097581464e-10 relative error = 1.387532222452137e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.8 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8 Order of pole (three term test) = 4.173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8100000000000001 y[1] (analytic) = 1.524157902758726 y[1] (numeric) = 1.524157902530275 absolute error = 2.284505917771185e-10 relative error = 1.498864332649675e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.81 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.81 Order of pole (three term test) = 3.029e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8200000000000001 y[1] (analytic) = 1.48720999405116 y[1] (numeric) = 1.487209993812159 absolute error = 2.390005970909215e-10 relative error = 1.607040014839356e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.82 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.82 Order of pole (three term test) = 8.753e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8300000000000001 y[1] (analytic) = 1.451589490492089 y[1] (numeric) = 1.451589490243522 absolute error = 2.485667227603017e-10 relative error = 1.712376153095718e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.83 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.83 Order of pole (three term test) = 3.148e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8400000000000001 y[1] (analytic) = 1.417233560090703 y[1] (numeric) = 1.417233559833451 absolute error = 2.572515533927344e-10 relative error = 1.815166960739134e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.84 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.84 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8500000000000001 y[1] (analytic) = 1.384083044982699 y[1] (numeric) = 1.384083044717554 absolute error = 2.651443509193996e-10 relative error = 1.915667935392662e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.85 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.85 Order of pole (three term test) = 3.215e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8600000000000001 y[1] (analytic) = 1.352082206598161 y[1] (numeric) = 1.352082206325834 absolute error = 2.723263836656997e-10 relative error = 2.014125933591516e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.86 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.86 Order of pole (three term test) = 4.567e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8700000000000001 y[1] (analytic) = 1.321178491214163 y[1] (numeric) = 1.321178490935294 absolute error = 2.788687059052108e-10 relative error = 2.110757234996541e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.87 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.87 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8800000000000001 y[1] (analytic) = 1.291322314049586 y[1] (numeric) = 1.291322313764752 absolute error = 2.848341562611267e-10 relative error = 2.205755706086166e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.88 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.88 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8900000000000001 y[1] (analytic) = 1.262466860244918 y[1] (numeric) = 1.262466859954638 absolute error = 2.902798001969131e-10 relative error = 2.299306297359749e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.89 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.89 Order of pole (three term test) = 3.194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9000000000000001 y[1] (analytic) = 1.234567901234568 y[1] (numeric) = 1.234567900939312 absolute error = 2.95256041837888e-10 relative error = 2.391573938886894e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.9 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9100000000000001 y[1] (analytic) = 1.207583625166042 y[1] (numeric) = 1.207583624866235 absolute error = 2.998077341942462e-10 relative error = 2.482707846862554e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.91 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.91 Order of pole (three term test) = 3.11e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9200000000000002 y[1] (analytic) = 1.181474480151228 y[1] (numeric) = 1.181474479847253 absolute error = 3.039752893840841e-10 relative error = 2.572846849346889e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.92 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.92 Order of pole (three term test) = 4.317e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9300000000000002 y[1] (analytic) = 1.156203029251936 y[1] (numeric) = 1.156203028944141 absolute error = 3.077946786333996e-10 relative error = 2.662116175500274e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.93 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.93 Order of pole (three term test) = 5.971e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9400000000000002 y[1] (analytic) = 1.131733816206428 y[1] (numeric) = 1.131733815895129 absolute error = 3.112985424991166e-10 relative error = 2.750633921522195e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.94 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.94 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9500000000000002 y[1] (analytic) = 1.108033240997229 y[1] (numeric) = 1.108033240682714 absolute error = 3.145155247352704e-10 relative error = 2.838502610735817e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.95 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.95 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9600000000000002 y[1] (analytic) = 1.085069444444444 y[1] (numeric) = 1.085069444126972 absolute error = 3.174722706944522e-10 relative error = 2.925824446720072e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.96 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.96 Order of pole (three term test) = 3.869e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9700000000000002 y[1] (analytic) = 1.062812201084068 y[1] (numeric) = 1.062812200763876 absolute error = 3.201920950601789e-10 relative error = 3.012687422421224e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.97 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.97 Order of pole (three term test) = 5.28e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9800000000000002 y[1] (analytic) = 1.041232819658475 y[1] (numeric) = 1.04123281933578 absolute error = 3.226956479807086e-10 relative error = 3.099169003206726e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.98 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.98 Order of pole (three term test) = 3.591e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9900000000000002 y[1] (analytic) = 1.020304050607081 y[1] (numeric) = 1.020304050282078 absolute error = 3.250026914258797e-10 relative error = 3.185351378665048e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.99 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.99 Order of pole (three term test) = 2.435e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = 0.9999999999999996 y[1] (numeric) = 0.9999999996728697 absolute error = 3.271298787410615e-10 relative error = 3.271298787410616e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1 Order of pole (three term test) = 3.292e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.01 y[1] (analytic) = 0.9802960494069204 y[1] (numeric) = 0.9802960490778272 absolute error = 3.290931971378086e-10 relative error = 3.357079704002787e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.01 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.01 Order of pole (three term test) = 4.437e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.02 y[1] (analytic) = 0.9611687812379849 y[1] (numeric) = 0.9611687809070782 absolute error = 3.309066354262313e-10 relative error = 3.442752634974513e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.02 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.02 Order of pole (three term test) = 5.963e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.03 y[1] (analytic) = 0.9425959091337539 y[1] (numeric) = 0.9425959088011709 absolute error = 3.325829611711129e-10 relative error = 3.528372635064338e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.03 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.03 Order of pole (three term test) = 3.995e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.04 y[1] (analytic) = 0.924556213017751 y[1] (numeric) = 0.9245562126836173 absolute error = 3.341337206919093e-10 relative error = 3.613990323003693e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.04 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.04 Order of pole (three term test) = 2.669e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.05 y[1] (analytic) = 0.9070294784580494 y[1] (numeric) = 0.9070294781224801 absolute error = 3.355692390627496e-10 relative error = 3.699650860666816e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.05 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.05 Order of pole (three term test) = 3.557e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.06 y[1] (analytic) = 0.8899964400142395 y[1] (numeric) = 0.8899964396773401 absolute error = 3.36899397268553e-10 relative error = 3.785401627709463e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.06 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.06 Order of pole (three term test) = 2.363e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.07 y[1] (analytic) = 0.8734387282732112 y[1] (numeric) = 0.8734387279350787 absolute error = 3.381325219820042e-10 relative error = 3.871279244171967e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.07 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.07 Order of pole (three term test) = 3.132e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.08 y[1] (analytic) = 0.8573388203017829 y[1] (numeric) = 0.8573388199625063 absolute error = 3.392766068088804e-10 relative error = 3.957322341818782e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.08 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.08 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.09 y[1] (analytic) = 0.8416799932665595 y[1] (numeric) = 0.8416799929262209 absolute error = 3.403386461542368e-10 relative error = 4.04356345495849e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.09 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.09 Order of pole (three term test) = 2.73e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.1 y[1] (analytic) = 0.8264462809917351 y[1] (numeric) = 0.8264462806504095 absolute error = 3.413256344231286e-10 relative error = 4.130040176519858e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.1 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.1 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.11 y[1] (analytic) = 0.8116224332440545 y[1] (numeric) = 0.8116224329018114 absolute error = 3.422431227306788e-10 relative error = 4.216777515164696e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.11 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.11 Order of pole (three term test) = 4.71e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.12 y[1] (analytic) = 0.7971938775510199 y[1] (numeric) = 0.7971938772079233 absolute error = 3.430965511697082e-10 relative error = 4.303803137872822e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.12 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.12 Order of pole (three term test) = 3.082e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.13 y[1] (analytic) = 0.7831466833737954 y[1] (numeric) = 0.7831466830299043 absolute error = 3.438911377884324e-10 relative error = 4.391145938420496e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.13 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.13 Order of pole (three term test) = 4.024e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.14 y[1] (analytic) = 0.7694675284702981 y[1] (numeric) = 0.7694675281256669 absolute error = 3.446312124566475e-10 relative error = 4.478827237086594e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.14 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.14 Order of pole (three term test) = 2.621e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.15 y[1] (analytic) = 0.7561436672967859 y[1] (numeric) = 0.7561436669514648 absolute error = 3.453211050441496e-10 relative error = 4.566871614208881e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.15 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.15 Order of pole (three term test) = 3.406e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.16 y[1] (analytic) = 0.7431629013079663 y[1] (numeric) = 0.7431629009620018 absolute error = 3.459644792869199e-10 relative error = 4.655298033284796e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.16 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.16 Order of pole (three term test) = 4.416e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.17 y[1] (analytic) = 0.7305135510263711 y[1] (numeric) = 0.7305135506798062 absolute error = 3.465648878986372e-10 relative error = 4.744126750444447e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.17 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.17 Order of pole (three term test) = 8.569e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.18 y[1] (analytic) = 0.7181844297615623 y[1] (numeric) = 0.7181844294144368 absolute error = 3.471254395037704e-10 relative error = 4.833374619650503e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.18 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.18 Order of pole (three term test) = 3.687e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.19 y[1] (analytic) = 0.7061648188687235 y[1] (numeric) = 0.7061648185210743 absolute error = 3.476492427267885e-10 relative error = 4.923060926254056e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.19 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.19 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.2 y[1] (analytic) = 0.694444444444444 y[1] (numeric) = 0.6944444440963051 absolute error = 3.481388510806482e-10 relative error = 5.013199455561338e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.2 Order of pole (three term test) = 6.105e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.21 y[1] (analytic) = 0.6830134553650702 y[1] (numeric) = 0.6830134550164734 absolute error = 3.485968180783061e-10 relative error = 5.103806013484484e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.21 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.21 Order of pole (three term test) = 3.915e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.22 y[1] (analytic) = 0.6718624025799511 y[1] (numeric) = 0.6718624022309256 absolute error = 3.490254751881139e-10 relative error = 5.194895172699891e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.22 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.22 Order of pole (three term test) = 2.506e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.23 y[1] (analytic) = 0.660982219578293 y[1] (numeric) = 0.660982219228866 absolute error = 3.494269318338183e-10 relative error = 5.286480051713841e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.23 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.23 Order of pole (three term test) = 6.402e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.24 y[1] (analytic) = 0.6503642039542139 y[1] (numeric) = 0.6503642036044109 absolute error = 3.498029643722589e-10 relative error = 5.378570380187856e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.24 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.24 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.25 y[1] (analytic) = 0.6399999999999996 y[1] (numeric) = 0.6399999996498441 absolute error = 3.501554601825774e-10 relative error = 5.471179065352775e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.25 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.25 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.26 y[1] (analytic) = 0.6298815822625342 y[1] (numeric) = 0.6298815819120481 absolute error = 3.504860845993107e-10 relative error = 5.564317079098661e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.26 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.26 Order of pole (three term test) = 3.298e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.27 y[1] (analytic) = 0.6200012400024796 y[1] (numeric) = 0.6200012396516833 absolute error = 3.50796280912391e-10 relative error = 5.657993214835959e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.27 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.27 Order of pole (three term test) = 4.181e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.28 y[1] (analytic) = 0.6103515624999996 y[1] (numeric) = 0.6103515621489121 absolute error = 3.510874924117502e-10 relative error = 5.752217475674119e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.28 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.28 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.29 y[1] (analytic) = 0.6009254251547379 y[1] (numeric) = 0.6009254248033769 absolute error = 3.513610513650178e-10 relative error = 5.846999255765266e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.29 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.29 Order of pole (three term test) = 3.34e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.3 y[1] (analytic) = 0.5917159763313605 y[1] (numeric) = 0.5917159759797425 absolute error = 3.516180679952186e-10 relative error = 5.942345349119198e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.3 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.3 Order of pole (three term test) = 4.211e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.31 y[1] (analytic) = 0.5827166249053081 y[1] (numeric) = 0.5827166245534483 absolute error = 3.518597635476794e-10 relative error = 6.038265402241732e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.31 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.31 Order of pole (three term test) = 5.3e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.320000000000001 y[1] (analytic) = 0.5739210284664825 y[1] (numeric) = 0.5739210281143954 absolute error = 3.520871372231227e-10 relative error = 6.134766278975694e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.32 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.32 Order of pole (three term test) = 3.329e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.330000000000001 y[1] (analytic) = 0.5653230821414434 y[1] (numeric) = 0.5653230817891423 absolute error = 3.523011882222704e-10 relative error = 6.231855718463746e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.33 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.33 Order of pole (three term test) = 4.175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.340000000000001 y[1] (analytic) = 0.5569169079973264 y[1] (numeric) = 0.5569169076448238 absolute error = 3.525025826789374e-10 relative error = 6.329536374583005e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.34 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.34 Order of pole (three term test) = 5.227e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.350000000000001 y[1] (analytic) = 0.5486968449931409 y[1] (numeric) = 0.5486968446404485 absolute error = 3.526923197938459e-10 relative error = 6.427817528242846e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.35 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.35 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.360000000000001 y[1] (analytic) = 0.5406574394463664 y[1] (numeric) = 0.5406574390934953 absolute error = 3.528710657008105e-10 relative error = 6.526703231202196e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.36 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.36 Order of pole (three term test) = 4.076e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.370000000000001 y[1] (analytic) = 0.5327934359848682 y[1] (numeric) = 0.5327934356318286 absolute error = 3.530395975559486e-10 relative error = 6.626200206527606e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.37 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.37 Order of pole (three term test) = 2.539e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.380000000000001 y[1] (analytic) = 0.5250997689561012 y[1] (numeric) = 0.5250997686029025 absolute error = 3.531986925153774e-10 relative error = 6.726315900262852e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.38 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.38 Order of pole (three term test) = 3.158e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.390000000000001 y[1] (analytic) = 0.5175715542673771 y[1] (numeric) = 0.5175715539140283 absolute error = 3.533487946683067e-10 relative error = 6.827052061786359e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.39 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.39 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.400000000000001 y[1] (analytic) = 0.5102040816326526 y[1] (numeric) = 0.5102040812791623 absolute error = 3.534903481039464e-10 relative error = 6.928410822837355e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.4 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.4 Order of pole (three term test) = 2.431e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.410000000000001 y[1] (analytic) = 0.5029928072028566 y[1] (numeric) = 0.5029928068492325 absolute error = 3.536240189561113e-10 relative error = 7.030399120866454e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.41 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.41 Order of pole (three term test) = 3.01e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.420000000000001 y[1] (analytic) = 0.4959333465582222 y[1] (numeric) = 0.4959333462044718 absolute error = 3.537504178474649e-10 relative error = 7.133023425476287e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.42 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.42 Order of pole (three term test) = 7.442e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.430000000000001 y[1] (analytic) = 0.4890214680424467 y[1] (numeric) = 0.4890214676885768 absolute error = 3.538698223337633e-10 relative error = 7.236283996903131e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.43 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.43 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.440000000000001 y[1] (analytic) = 0.4822530864197527 y[1] (numeric) = 0.48225308606577 absolute error = 3.539827320153677e-10 relative error = 7.34018593107067e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.44 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.44 Order of pole (three term test) = 5.661e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.450000000000001 y[1] (analytic) = 0.4756242568370983 y[1] (numeric) = 0.4756242564830088 absolute error = 3.540894799591854e-10 relative error = 7.444731316141879e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.45 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.45 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.460000000000001 y[1] (analytic) = 0.469131169074873 y[1] (numeric) = 0.4691311687206824 absolute error = 3.541905102544263e-10 relative error = 7.549924916583356e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.46 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.46 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.470000000000001 y[1] (analytic) = 0.4627701420704333 y[1] (numeric) = 0.4627701417161471 absolute error = 3.54286211479149e-10 relative error = 7.655770743852935e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.47 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.47 Order of pole (three term test) = 2.627e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.480000000000001 y[1] (analytic) = 0.4565376186997804 y[1] (numeric) = 0.4565376183454037 absolute error = 3.543766946556559e-10 relative error = 7.762267119737495e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.48 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.48 Order of pole (three term test) = 9.658e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.490000000000001 y[1] (analytic) = 0.450430160803567 y[1] (numeric) = 0.4504301604491045 absolute error = 3.544625148954594e-10 relative error = 7.869422293194101e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.49 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.49 Order of pole (three term test) = 3.94e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.500000000000001 y[1] (analytic) = 0.4444444444444441 y[1] (numeric) = 0.4444444440899002 absolute error = 3.545438387320132e-10 relative error = 7.977236371470304e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.5 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.5 Order of pole (three term test) = 4.816e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.510000000000001 y[1] (analytic) = 0.4385772553835354 y[1] (numeric) = 0.4385772550289145 absolute error = 3.546208882099222e-10 relative error = 8.085710872074444e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.51 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.51 Order of pole (three term test) = 5.878e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.520000000000001 y[1] (analytic) = 0.4328254847645426 y[1] (numeric) = 0.4328254844098486 absolute error = 3.546939963960938e-10 relative error = 8.194850092735358e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.52 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.52 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.530000000000001 y[1] (analytic) = 0.4271861249946597 y[1] (numeric) = 0.4271861246398965 absolute error = 3.547632743128304e-10 relative error = 8.304653488389055e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.53 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.53 Order of pole (three term test) = 8.723e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.540000000000001 y[1] (analytic) = 0.4216562658121096 y[1] (numeric) = 0.4216562654572805 absolute error = 3.548291105381907e-10 relative error = 8.415127185523738e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.54 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.54 Order of pole (three term test) = 5.303e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.550000000000001 y[1] (analytic) = 0.4162330905306968 y[1] (numeric) = 0.4162330901758052 absolute error = 3.548915605833258e-10 relative error = 8.526269743014411e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.55 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.55 Order of pole (three term test) = 3.22e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.560000000000001 y[1] (analytic) = 0.4109138724523336 y[1] (numeric) = 0.4109138720973827 absolute error = 3.54950902003992e-10 relative error = 8.638085151169158e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.56 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.56 Order of pole (three term test) = 3.905e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.570000000000001 y[1] (analytic) = 0.4056959714390033 y[1] (numeric) = 0.405695971083996 absolute error = 3.550072458224918e-10 relative error = 8.750573602278607e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.57 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.57 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.580000000000001 y[1] (analytic) = 0.4005768306361157 y[1] (numeric) = 0.4005768302810549 absolute error = 3.550607585722787e-10 relative error = 8.863736776998373e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.58 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.58 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.590000000000001 y[1] (analytic) = 0.3955539733396619 y[1] (numeric) = 0.3955539729845502 absolute error = 3.551116622979578e-10 relative error = 8.977577934554677e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.59 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.59 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.600000000000001 y[1] (analytic) = 0.3906249999999996 y[1] (numeric) = 0.3906249996448396 absolute error = 3.551600125106802e-10 relative error = 9.092096320273422e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.6 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.610000000000001 y[1] (analytic) = 0.3857875853555029 y[1] (numeric) = 0.3857875850002969 absolute error = 3.552060312550509e-10 relative error = 9.207295536162183e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.61 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.61 Order of pole (three term test) = 2.515e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.620000000000001 y[1] (analytic) = 0.3810394756896811 y[1] (numeric) = 0.3810394753344313 absolute error = 3.552498295533724e-10 relative error = 9.323176526798712e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.62 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.62 Order of pole (three term test) = 9.086e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.630000000000001 y[1] (analytic) = 0.3763784862057281 y[1] (numeric) = 0.3763784858504367 absolute error = 3.552914629167958e-10 relative error = 9.439738878236357e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.63 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.63 Order of pole (three term test) = 3.643e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.640000000000001 y[1] (analytic) = 0.3718024985127896 y[1] (numeric) = 0.3718024981574585 absolute error = 3.553310978787749e-10 relative error = 9.55698520854754e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.64 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.64 Order of pole (three term test) = 4.376e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.650000000000001 y[1] (analytic) = 0.3673094582185488 y[1] (numeric) = 0.3673094578631799 absolute error = 3.553689009727634e-10 relative error = 9.674918328983493e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.65 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.65 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.660000000000001 y[1] (analytic) = 0.3628973726230219 y[1] (numeric) = 0.362897372267617 absolute error = 3.554048721987613e-10 relative error = 9.793536658309075e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.66 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.66 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.670000000000001 y[1] (analytic) = 0.3585643085087307 y[1] (numeric) = 0.3585643081532915 absolute error = 3.554392336013734e-10 relative error = 9.912844785908712e-08 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 1.67 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.67 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.680000000000001 y[1] (analytic) = 0.3543083900226753 y[1] (numeric) = 0.3543083896672035 absolute error = 3.554718186471462e-10 relative error = 1.003283660949706e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.68 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.68 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.690000000000001 y[1] (analytic) = 0.3501277966457754 y[1] (numeric) = 0.3501277962902723 absolute error = 3.555030714252894e-10 relative error = 1.01535232229777e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.69 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.69 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.700000000000001 y[1] (analytic) = 0.3460207612456744 y[1] (numeric) = 0.3460207608901416 absolute error = 3.555327698911981e-10 relative error = 1.027489704985564e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.710000000000001 y[1] (analytic) = 0.3419855682090213 y[1] (numeric) = 0.3419855678534601 absolute error = 3.555611916006285e-10 relative error = 1.039696480359399e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.71 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.71 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.720000000000001 y[1] (analytic) = 0.3380205516495399 y[1] (numeric) = 0.3380205512939518 absolute error = 3.555881700201269e-10 relative error = 1.051972042187544e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.72 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.72 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.730000000000001 y[1] (analytic) = 0.3341240936883955 y[1] (numeric) = 0.3341240933327815 absolute error = 3.556139827054494e-10 relative error = 1.064317088839141e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.73 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.73 Order of pole (three term test) = 2.717e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.740000000000001 y[1] (analytic) = 0.3302946228035404 y[1] (numeric) = 0.3302946224479018 absolute error = 3.556386851677473e-10 relative error = 1.076731683213873e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.74 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.74 Order of pole (three term test) = 3.23e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.750000000000001 y[1] (analytic) = 0.3265306122448977 y[1] (numeric) = 0.3265306118892354 absolute error = 3.556622218958694e-10 relative error = 1.089215554556101e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.75 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.75 Order of pole (three term test) = 3.836e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.760000000000001 y[1] (analytic) = 0.3228305785123964 y[1] (numeric) = 0.3228305781567117 absolute error = 3.55684703912118e-10 relative error = 1.101768938838178e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.76 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.76 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.770000000000001 y[1] (analytic) = 0.3191930798940276 y[1] (numeric) = 0.3191930795383214 absolute error = 3.557061867276445e-10 relative error = 1.114391912399039e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.77 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.77 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.780000000000001 y[1] (analytic) = 0.3156167150612293 y[1] (numeric) = 0.3156167147055026 absolute error = 3.557267258536001e-10 relative error = 1.127084558194548e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.78 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.790000000000001 y[1] (analytic) = 0.3121001217190472 y[1] (numeric) = 0.3121001213633007 absolute error = 3.557464323122872e-10 relative error = 1.139847143771801e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.79 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.79 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.800000000000001 y[1] (analytic) = 0.3086419753086416 y[1] (numeric) = 0.3086419749528765 absolute error = 3.557651395702521e-10 relative error = 1.152679052207618e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.8 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.8 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.810000000000001 y[1] (analytic) = 0.305240987759836 y[1] (numeric) = 0.3052409874040529 absolute error = 3.557831251832511e-10 relative error = 1.16558109641285e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.81 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.81 Order of pole (three term test) = 7.909e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.820000000000001 y[1] (analytic) = 0.3018959062915104 y[1] (numeric) = 0.30189590593571 absolute error = 3.558003336401327e-10 relative error = 1.178553025149577e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.82 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.82 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.830000000000001 y[1] (analytic) = 0.2986055122577559 y[1] (numeric) = 0.2986055119019392 absolute error = 3.558167649408972e-10 relative error = 1.191594764110572e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.83 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.83 Order of pole (three term test) = 3.666e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.840000000000001 y[1] (analytic) = 0.2953686200378069 y[1] (numeric) = 0.2953686196819744 absolute error = 3.558325301078469e-10 relative error = 1.204706613933128e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.84 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.84 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.850000000000001 y[1] (analytic) = 0.2921840759678594 y[1] (numeric) = 0.2921840756120119 absolute error = 3.558475736298305e-10 relative error = 1.217888320748096e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.85 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.85 Order of pole (three term test) = 2.54e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.860000000000001 y[1] (analytic) = 0.2890507573129839 y[1] (numeric) = 0.2890507569571218 absolute error = 3.558620065291507e-10 relative error = 1.231140197788251e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.86 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.86 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.870000000000001 y[1] (analytic) = 0.2859675712774168 y[1] (numeric) = 0.285967570921541 absolute error = 3.558758288058073e-10 relative error = 1.244462185751029e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.87 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.87 Order of pole (three term test) = 3.506e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.880000000000001 y[1] (analytic) = 0.2829334540516068 y[1] (numeric) = 0.2829334536957177 absolute error = 3.558890959709515e-10 relative error = 1.257854420799732e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.88 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.88 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.890000000000001 y[1] (analytic) = 0.2799473698944596 y[1] (numeric) = 0.2799473695385578 absolute error = 3.559017525134323e-10 relative error = 1.271316650153233e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.89 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.89 Order of pole (three term test) = 1.206e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.900000000000001 y[1] (analytic) = 0.2770083102493072 y[1] (numeric) = 0.2770083098933933 absolute error = 3.559139094555519e-10 relative error = 1.284849213134544e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.9 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.9 Order of pole (three term test) = 2.826e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.910000000000001 y[1] (analytic) = 0.2741152928921901 y[1] (numeric) = 0.2741152925362647 absolute error = 3.55925455775008e-10 relative error = 1.298451655212808e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.91 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.91 Order of pole (three term test) = 3.308e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.920000000000001 y[1] (analytic) = 0.2712673611111108 y[1] (numeric) = 0.2712673607551742 absolute error = 3.559366690275567e-10 relative error = 1.312124936703186e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.92 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.92 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.930000000000001 y[1] (analytic) = 0.2684635829149773 y[1] (numeric) = 0.2684635825590299 absolute error = 3.559473826797444e-10 relative error = 1.325868405743781e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.93 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.93 Order of pole (three term test) = 4.522e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.940000000000001 y[1] (analytic) = 0.2657030502710168 y[1] (numeric) = 0.2657030499150592 absolute error = 3.559576522427221e-10 relative error = 1.339682219980711e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.94 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.94 Order of pole (three term test) = 2.64e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.950000000000001 y[1] (analytic) = 0.2629848783694935 y[1] (numeric) = 0.2629848780135259 absolute error = 3.559675332276413e-10 relative error = 1.353566545098108e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.95 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.95 Order of pole (three term test) = 3.08e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.960000000000001 y[1] (analytic) = 0.2603082049146186 y[1] (numeric) = 0.2603082045586416 absolute error = 3.559769701233506e-10 relative error = 1.367521128425865e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.96 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.96 Order of pole (three term test) = 7.182e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.970000000000001 y[1] (analytic) = 0.2576721894405934 y[1] (numeric) = 0.2576721890846073 absolute error = 3.559860739521525e-10 relative error = 1.38154635440091e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.97 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.97 Order of pole (three term test) = 8.367e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.980000000000001 y[1] (analytic) = 0.2550760126517699 y[1] (numeric) = 0.2550760122957751 absolute error = 3.559947892028958e-10 relative error = 1.395641971591035e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.98 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.98 Order of pole (three term test) = 4.87e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.990000000000001 y[1] (analytic) = 0.2525188757859647 y[1] (numeric) = 0.2525188754299615 absolute error = 3.560031713867318e-10 relative error = 1.409808159008598e-07 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 1.99 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.99 Order of pole (three term test) = 5.664e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations = 130 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 0 %