##############ECHO OF PROBLEM################# ##############temp/diff2postode.ode################# diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-1.0; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); array_y_init[1 + 1] = exact_soln_yp(x_start); array_y_init[2 + 1] = exact_soln_ypp(x_start); glob_look_poles=true; glob_type_given_pole=3; /* 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( - cos(x)); } double exact_soln_yp (double x) { return( sin(x)); } double exact_soln_ypp (double x) { return( cos(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 = 2 estimated_steps = 2000000 step_error = 1.767766952966369e-15 est_needed_step_err = 1.767766952966369e-15 opt_iter = 1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 2000000 step_error = 1.767766952966369e-15 est_needed_step_err = 1.767766952966369e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.452451639124503e-258 estimated_step_error = 1.452451639124503e-258 Double H and LOOP opt_iter = 2 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 1000000 step_error = 2.5e-15 est_needed_step_err = 2.5e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.981171872562365e-248 estimated_step_error = 9.981171872562365e-248 Double H and LOOP opt_iter = 3 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 500000 step_error = 3.535533905932737e-15 est_needed_step_err = 3.535533905932737e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.859009371655742e-237 estimated_step_error = 6.859009371655742e-237 Double H and LOOP opt_iter = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 250000 step_error = 5e-15 est_needed_step_err = 5e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.713475746275112e-226 estimated_step_error = 4.713475746275112e-226 Double H and LOOP opt_iter = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 125000 step_error = 7.071067811865475e-15 est_needed_step_err = 7.071067811865475e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.239076414276356e-215 estimated_step_error = 3.239076414276356e-215 Double H and LOOP opt_iter = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 62500 step_error = 1e-14 est_needed_step_err = 1e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.225877112503842e-204 estimated_step_error = 2.225877112503842e-204 Double H and LOOP opt_iter = 7 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 31250 step_error = 1.414213562373095e-14 est_needed_step_err = 1.414213562373095e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.529612134650211e-193 estimated_step_error = 1.529612134650211e-193 Double H and LOOP opt_iter = 8 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.5403023058681398 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 2 estimated_steps = 15625 step_error = 2e-14 est_needed_step_err = 2e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.051142870849843e-182 estimated_step_error = 1.051142870849843e-182 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4546 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE ACCURACY START of Soultion TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = -0.5403023058681398 y[1] (numeric) = -0.5403023058681398 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9898879999999987 y[1] (analytic) = -0.5487834920496134 y[1] (numeric) = -0.5487834920496125 absolute error = 8.881784197001252e-16 relative error = 1.618449593632872e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9799039999999973 y[1] (analytic) = -0.5571022719469044 y[1] (numeric) = -0.5571022719469024 absolute error = 1.998401444325282e-15 relative error = 3.587135692951801e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.969919999999996 y[1] (analytic) = -0.5653655202083958 y[1] (numeric) = -0.5653655202083928 absolute error = 2.997602166487923e-15 relative error = 5.302060453532779e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9599359999999947 y[1] (analytic) = -0.5735724131582276 y[1] (numeric) = -0.5735724131582235 absolute error = 4.107825191113079e-15 relative error = 7.161824901051998e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9499519999999934 y[1] (analytic) = -0.5817221327380049 y[1] (numeric) = -0.5817221327379997 absolute error = 5.218048215738236e-15 relative error = 8.970001177672798e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.939967999999992 y[1] (analytic) = -0.5898138665883418 y[1] (numeric) = -0.5898138665883353 absolute error = 6.439293542825908e-15 relative error = 1.091750110941387e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299839999999907 y[1] (analytic) = -0.5978468081298365 y[1] (numeric) = -0.5978468081298294 absolute error = 7.105427357601002e-15 relative error = 1.188503017993514e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9199999999999894 y[1] (analytic) = -0.6058201566434713 y[1] (numeric) = -0.6058201566434636 absolute error = 7.771561172376096e-15 relative error = 1.282816540049476e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.909887999999988 y[1] (analytic) = -0.6138341700580681 y[1] (numeric) = -0.6138341700580595 absolute error = 8.548717289613705e-15 relative error = 1.39267536846393e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8999039999999867 y[1] (analytic) = -0.6216851647895049 y[1] (numeric) = -0.6216851647894953 absolute error = 9.547918011776346e-15 relative error = 1.535812426054779e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899199999999854 y[1] (analytic) = -0.6294741902993256 y[1] (numeric) = -0.6294741902993154 absolute error = 1.021405182655144e-14 relative error = 1.622632346799554e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8799359999999841 y[1] (analytic) = -0.6372004701819228 y[1] (numeric) = -0.6372004701819115 absolute error = 1.13242748511766e-14 relative error = 1.777191854228149e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8699519999999827 y[1] (analytic) = -0.6448632342861373 y[1] (numeric) = -0.6448632342861249 absolute error = 1.243449787580175e-14 relative error = 1.928237991357458e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8599679999999814 y[1] (analytic) = -0.6524617187920264 y[1] (numeric) = -0.6524617187920132 absolute error = 1.321165399303936e-14 relative error = 2.024893355812436e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499839999999801 y[1] (analytic) = -0.6599951662870011 y[1] (numeric) = -0.6599951662869867 absolute error = 1.432187701766452e-14 relative error = 2.169997258955167e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8399999999999788 y[1] (analytic) = -0.6674628258413239 y[1] (numeric) = -0.6674628258413083 absolute error = 1.554312234475219e-14 relative error = 2.328687343023244e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8298879999999774 y[1] (analytic) = -0.6749584041518545 y[1] (numeric) = -0.6749584041518384 absolute error = 1.609823385706477e-14 relative error = 2.385070510721863e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8199039999999761 y[1] (analytic) = -0.6822913941435017 y[1] (numeric) = -0.6822913941434843 absolute error = 1.743050148661496e-14 relative error = 2.554700474933576e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8099199999999748 y[1] (analytic) = -0.6895563737192582 y[1] (numeric) = -0.6895563737192396 absolute error = 1.854072451124011e-14 relative error = 2.688790245130658e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999359999999734 y[1] (analytic) = -0.6967526187101154 y[1] (numeric) = -0.6967526187100959 absolute error = 1.953992523340276e-14 relative error = 2.804427957454489e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7899519999999721 y[1] (analytic) = -0.703879411798489 y[1] (numeric) = -0.7038794117984688 absolute error = 2.020605904817785e-14 relative error = 2.870670559400105e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799679999999708 y[1] (analytic) = -0.7109360425897208 y[1] (numeric) = -0.7109360425897001 absolute error = 2.065014825802791e-14 relative error = 2.904642192960958e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7699839999999695 y[1] (analytic) = -0.7179218076828896 y[1] (numeric) = -0.7179218076828681 absolute error = 2.153832667772804e-14 relative error = 3.000093665805127e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599999999999681 y[1] (analytic) = -0.7248360107409271 y[1] (numeric) = -0.7248360107409046 absolute error = 2.242650509742816e-14 relative error = 3.094010888684159e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7498879999999668 y[1] (analytic) = -0.7317652078256539 y[1] (numeric) = -0.731765207825631 absolute error = 2.287059430727822e-14 relative error = 3.125400615210342e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7399039999999655 y[1] (analytic) = -0.7385332869661649 y[1] (numeric) = -0.7385332869661413 absolute error = 2.364775042451583e-14 relative error = 3.201988433271421e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7299199999999642 y[1] (analytic) = -0.7452277495310796 y[1] (numeric) = -0.7452277495310555 absolute error = 2.40918396343659e-14 relative error = 3.232815692857013e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199359999999628 y[1] (analytic) = -0.7518479282201987 y[1] (numeric) = -0.7518479282201743 absolute error = 2.442490654175344e-14 relative error = 3.248649843269896e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7099519999999615 y[1] (analytic) = -0.7583931631378974 y[1] (numeric) = -0.7583931631378723 absolute error = 2.509104035652854e-14 relative error = 3.308447593687797e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6999679999999602 y[1] (analytic) = -0.764862801858903 y[1] (numeric) = -0.7648628018588776 absolute error = 2.542410726391608e-14 relative error = 3.324008855199388e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899839999999589 y[1] (analytic) = -0.7712561994933285 y[1] (numeric) = -0.7712561994933028 absolute error = 2.564615186884112e-14 relative error = 3.325244177705045e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999575 y[1] (analytic) = -0.7775727187509547 y[1] (numeric) = -0.7775727187509283 absolute error = 2.642330798607873e-14 relative error = 3.39817837597537e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6698879999999562 y[1] (analytic) = -0.7838912113951497 y[1] (numeric) = -0.7838912113951225 absolute error = 2.720046410331634e-14 relative error = 3.469928442609484e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6599039999999549 y[1] (analytic) = -0.7900510870748076 y[1] (numeric) = -0.79005108707478 absolute error = 2.76445533131664e-14 relative error = 3.499084270046554e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499199999999535 y[1] (analytic) = -0.7961322109140231 y[1] (numeric) = -0.7961322109139952 absolute error = 2.786659791809143e-14 relative error = 3.500247513675946e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6399359999999522 y[1] (analytic) = -0.8021339767498501 y[1] (numeric) = -0.8021339767498219 absolute error = 2.819966482547898e-14 relative error = 3.515580394654345e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299519999999509 y[1] (analytic) = -0.8080557863297035 y[1] (numeric) = -0.8080557863296749 absolute error = 2.864375403532904e-14 relative error = 3.544774323742271e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199679999999496 y[1] (analytic) = -0.8138970493709915 y[1] (numeric) = -0.813897049370963 absolute error = 2.853273173286652e-14 relative error = 3.505692981061626e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099839999999482 y[1] (analytic) = -0.8196571836199554 y[1] (numeric) = -0.8196571836199266 absolute error = 2.886579864025407e-14 relative error = 3.521691655622464e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999469 y[1] (analytic) = -0.8253356149097083 y[1] (numeric) = -0.8253356149096795 absolute error = 2.875477633779155e-14 relative error = 3.484010118833576e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5898879999999456 y[1] (analytic) = -0.8310029863229698 y[1] (numeric) = -0.8310029863229417 absolute error = 2.808864252301646e-14 relative error = 3.380089239787617e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799039999999442 y[1] (analytic) = -0.8365152563586488 y[1] (numeric) = -0.8365152563586201 absolute error = 2.864375403532904e-14 relative error = 3.424175927169017e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699199999999429 y[1] (analytic) = -0.8419441430320691 y[1] (numeric) = -0.8419441430320403 absolute error = 2.875477633779155e-14 relative error = 3.415283136745605e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599359999999416 y[1] (analytic) = -0.8472891051949124 y[1] (numeric) = -0.8472891051948833 absolute error = 2.90878432451791e-14 relative error = 3.433048184714669e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499519999999403 y[1] (analytic) = -0.8525496100644078 y[1] (numeric) = -0.8525496100643789 absolute error = 2.886579864025407e-14 relative error = 3.385820402647693e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399679999999389 y[1] (analytic) = -0.8577251332764387 y[1] (numeric) = -0.8577251332764095 absolute error = 2.919886554764162e-14 relative error = 3.404221750632907e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299839999999376 y[1] (analytic) = -0.8628151589378121 y[1] (numeric) = -0.8628151589377828 absolute error = 2.930988785010413e-14 relative error = 3.397006594806091e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199999999999363 y[1] (analytic) = -0.8678191796776815 y[1] (numeric) = -0.8678191796776525 absolute error = 2.897682094271659e-14 relative error = 3.339039009656242e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5098879999999349 y[1] (analytic) = -0.8727991780234661 y[1] (numeric) = -0.8727991780234369 absolute error = 2.919886554764162e-14 relative error = 3.345427709242936e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999039999999336 y[1] (analytic) = -0.8776285826981394 y[1] (numeric) = -0.8776285826981101 absolute error = 2.930988785010413e-14 relative error = 3.339668787905154e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899199999999323 y[1] (analytic) = -0.8823705058577017 y[1] (numeric) = -0.882370505857672 absolute error = 2.97539770599542e-14 relative error = 3.372050273941564e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.479935999999931 y[1] (analytic) = -0.8870244748299649 y[1] (numeric) = -0.8870244748299353 absolute error = 2.964295475749168e-14 relative error = 3.341841809176007e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699519999999296 y[1] (analytic) = -0.8915900257099639 y[1] (numeric) = -0.8915900257099343 absolute error = 2.964295475749168e-14 relative error = 3.324729292915463e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599679999999283 y[1] (analytic) = -0.8960667034061987 y[1] (numeric) = -0.8960667034061686 absolute error = 3.008704396734174e-14 relative error = 3.357679049223961e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.449983999999927 y[1] (analytic) = -0.900454061685997 y[1] (numeric) = -0.9004540616859671 absolute error = 2.986499936241671e-14 relative error = 3.316659964473693e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999257 y[1] (analytic) = -0.9047516632199951 y[1] (numeric) = -0.9047516632199653 absolute error = 2.986499936241671e-14 relative error = 3.30090571551178e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4298879999999243 y[1] (analytic) = -0.9090124335036579 y[1] (numeric) = -0.9090124335036281 absolute error = 2.97539770599542e-14 relative error = 3.273220031245531e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.419903999999923 y[1] (analytic) = -0.9131280811082594 y[1] (numeric) = -0.9131280811082295 absolute error = 2.986499936241671e-14 relative error = 3.270625444589296e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099199999999217 y[1] (analytic) = -0.9171527086280544 y[1] (numeric) = -0.9171527086280247 absolute error = 2.97539770599542e-14 relative error = 3.244168259009169e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999359999999204 y[1] (analytic) = -0.9210859148904739 y[1] (numeric) = -0.9210859148904443 absolute error = 2.953193245502916e-14 relative error = 3.206208235041875e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.389951999999919 y[1] (analytic) = -0.9249273078357675 y[1] (numeric) = -0.924927307835738 absolute error = 2.953193245502916e-14 relative error = 3.192892263515365e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3799679999999177 y[1] (analytic) = -0.9286765045560836 y[1] (numeric) = -0.9286765045560549 absolute error = 2.875477633779155e-14 relative error = 3.096317845527557e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699839999999164 y[1] (analytic) = -0.9323331313336379 y[1] (numeric) = -0.9323331313336093 absolute error = 2.864375403532904e-14 relative error = 3.072266025165933e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999151 y[1] (analytic) = -0.9358968236779648 y[1] (numeric) = -0.935896823677936 absolute error = 2.875477633779155e-14 relative error = 3.072430166478037e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3498879999999137 y[1] (analytic) = -0.9394111115100175 y[1] (numeric) = -0.9394111115099893 absolute error = 2.819966482547898e-14 relative error = 3.001844930293681e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399039999999124 y[1] (analytic) = -0.9427866759449582 y[1] (numeric) = -0.9427866759449307 absolute error = 2.753353101070388e-14 relative error = 2.920441252853614e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299199999999111 y[1] (analytic) = -0.9460682639433242 y[1] (numeric) = -0.9460682639432971 absolute error = 2.708944180085382e-14 relative error = 2.863370734786286e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3199359999999097 y[1] (analytic) = -0.9492555483983008 y[1] (numeric) = -0.9492555483982735 absolute error = 2.731148640577885e-14 relative error = 2.877147934701262e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099519999999084 y[1] (analytic) = -0.9523482116031967 y[1] (numeric) = -0.95234821160317 absolute error = 2.675637489346627e-14 relative error = 2.809515948838104e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999679999999071 y[1] (analytic) = -0.9553459452831128 y[1] (numeric) = -0.9553459452830861 absolute error = 2.664535259100376e-14 relative error = 2.789078942822908e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899839999999058 y[1] (analytic) = -0.9582484506256704 y[1] (numeric) = -0.9582484506256446 absolute error = 2.586819647376615e-14 relative error = 2.699529172927542e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999044 y[1] (analytic) = -0.9610554383107973 y[1] (numeric) = -0.9610554383107722 absolute error = 2.509104035652854e-14 relative error = 2.6107797070094e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2698879999999031 y[1] (analytic) = -0.963800764241992 y[1] (numeric) = -0.9638007642419679 absolute error = 2.40918396343659e-14 relative error = 2.499670111105753e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599039999999018 y[1] (analytic) = -0.9664146534143572 y[1] (numeric) = -0.9664146534143333 absolute error = 2.386979502944087e-14 relative error = 2.469933060835587e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499199999999005 y[1] (analytic) = -0.9689322109268689 y[1] (numeric) = -0.9689322109268458 absolute error = 2.309263891220326e-14 relative error = 2.383308001507465e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399359999999013 y[1] (analytic) = -0.9713531858308339 y[1] (numeric) = -0.9713531858308114 absolute error = 2.242650509742816e-14 relative error = 2.308789987469486e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2299519999999022 y[1] (analytic) = -0.9736773368048589 y[1] (numeric) = -0.9736773368048377 absolute error = 2.120525977034049e-14 relative error = 2.177852864474176e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.219967999999903 y[1] (analytic) = -0.9759044321789045 y[1] (numeric) = -0.9759044321788843 absolute error = 2.020605904817785e-14 relative error = 2.070495673747861e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099839999999038 y[1] (analytic) = -0.9780342499573778 y[1] (numeric) = -0.9780342499573584 absolute error = 1.931788062847772e-14 relative error = 1.975174246640093e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999047 y[1] (analytic) = -0.9800665778412606 y[1] (numeric) = -0.9800665778412426 absolute error = 1.798561299892754e-14 relative error = 1.835141959288467e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1898879999999055 y[1] (analytic) = -0.9820253811543508 y[1] (numeric) = -0.9820253811543337 absolute error = 1.709743457922741e-14 relative error = 1.741037951496704e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799039999999064 y[1] (analytic) = -0.9838608750936089 y[1] (numeric) = -0.9838608750935929 absolute error = 1.598721155460225e-14 relative error = 1.62494636785726e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1699199999999072 y[1] (analytic) = -0.9855982983436161 y[1] (numeric) = -0.9855982983436006 absolute error = 1.554312234475219e-14 relative error = 1.57702406455792e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.159935999999908 y[1] (analytic) = -0.9872374777190165 y[1] (numeric) = -0.9872374777190016 absolute error = 1.48769885299771e-14 relative error = 1.506931094669334e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499519999999089 y[1] (analytic) = -0.9887782498273476 y[1] (numeric) = -0.9887782498273339 absolute error = 1.376676550535194e-14 relative error = 1.39230060003401e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399679999999097 y[1] (analytic) = -0.990220461085327 y[1] (numeric) = -0.9902204610853144 absolute error = 1.265654248072678e-14 relative error = 1.278154004902568e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299839999999106 y[1] (analytic) = -0.9915639677341616 y[1] (numeric) = -0.9915639677341502 absolute error = 1.13242748511766e-14 relative error = 1.142061956633406e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999108 y[1] (analytic) = -0.9928086358538769 y[1] (numeric) = -0.9928086358538666 absolute error = 1.032507412901396e-14 relative error = 1.039986333331373e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1098879999999106 y[1] (analytic) = -0.9939683868922821 y[1] (numeric) = -0.9939683868922725 absolute error = 9.547918011776346e-15 relative error = 9.605856823705068e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09990399999991036 y[1] (analytic) = -0.9950137447010389 y[1] (numeric) = -0.9950137447010305 absolute error = 8.326672684688674e-15 relative error = 8.36839966184638e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08991999999991011 y[1] (analytic) = -0.9959599201088818 y[1] (numeric) = -0.9959599201088741 absolute error = 7.66053886991358e-15 relative error = 7.691613603362778e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07993599999990987 y[1] (analytic) = -0.9968068188015872 y[1] (numeric) = -0.9968068188015808 absolute error = 6.328271240363392e-15 relative error = 6.348543289432518e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06995199999990963 y[1] (analytic) = -0.997554356360778 y[1] (numeric) = -0.9975543563607725 absolute error = 5.551115123125783e-15 relative error = 5.564724456095857e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05996799999990939 y[1] (analytic) = -0.9982024582723379 y[1] (numeric) = -0.9982024582723331 absolute error = 4.773959005888173e-15 relative error = 4.78255584959269e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04998399999990914 y[1] (analytic) = -0.9987510599338391 y[1] (numeric) = -0.9987510599338345 absolute error = 4.551914400963142e-15 relative error = 4.557606578424735e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.0399999999999089 y[1] (analytic) = -0.9992001066609816 y[1] (numeric) = -0.9992001066609785 absolute error = 3.108624468950438e-15 relative error = 3.111113027538099e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02988799999990869 y[1] (analytic) = -0.9995533869758281 y[1] (numeric) = -0.9995533869758257 absolute error = 2.331468351712829e-15 relative error = 2.332510081094058e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01990399999990872 y[1] (analytic) = -0.9998019219315007 y[1] (numeric) = -0.9998019219314992 absolute error = 1.554312234475219e-15 relative error = 1.554620170635869e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009919999999908748 y[1] (analytic) = -0.9999507972034921 y[1] (numeric) = -0.9999507972034914 absolute error = 6.661338147750939e-16 relative error = 6.661665920343621e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.400000009123671e-05 y[1] (analytic) = -0.999999997952 y[1] (numeric) = -0.9999999979520001 absolute error = 1.110223024625157e-16 relative error = 1.110223026898893e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01004800000009122 y[1] (analytic) = -0.9999495192727221 y[1] (numeric) = -0.9999495192727234 absolute error = 1.221245327087672e-15 relative error = 1.22130697955223e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0200320000000912 y[1] (analytic) = -0.9997993661973442 y[1] (numeric) = -0.9997993661973463 absolute error = 2.109423746787797e-15 relative error = 2.109847053425148e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03001600000009117 y[1] (analytic) = -0.9995495536930391 y[1] (numeric) = -0.9995495536930422 absolute error = 3.108624468950438e-15 relative error = 3.110025368392185e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000009138 y[1] (analytic) = -0.9992001066609743 y[1] (numeric) = -0.9992001066609785 absolute error = 4.218847493575595e-15 relative error = 4.222224823087452e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05011200000009162 y[1] (analytic) = -0.9987446564638535 y[1] (numeric) = -0.998744656463858 absolute error = 4.551914400963142e-15 relative error = 4.557635799604285e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06009600000009187 y[1] (analytic) = -0.9981947787908774 y[1] (numeric) = -0.9981947787908835 absolute error = 6.106226635438361e-15 relative error = 6.117269660371185e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07008000000009211 y[1] (analytic) = -0.9975454016333289 y[1] (numeric) = -0.9975454016333362 absolute error = 7.216449660063518e-15 relative error = 7.234206732092272e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08006400000009235 y[1] (analytic) = -0.9967965897207516 y[1] (numeric) = -0.9967965897207598 absolute error = 8.215650382226158e-15 relative error = 8.242053059719775e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0900480000000926 y[1] (analytic) = -0.9959484176942885 y[1] (numeric) = -0.9959484176942973 absolute error = 8.770761894538737e-15 relative error = 8.806441918793195e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000320000000928 y[1] (analytic) = -0.9950009700992422 y[1] (numeric) = -0.995000970099252 absolute error = 9.880984919163893e-15 relative error = 9.930628427606815e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100160000000931 y[1] (analytic) = -0.993954341376647 y[1] (numeric) = -0.9939543413766574 absolute error = 1.043609643147647e-14 relative error = 1.049957326714049e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000933 y[1] (analytic) = -0.992808635853855 y[1] (numeric) = -0.9928086358538665 absolute error = 1.143529715363911e-14 relative error = 1.151812820786385e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.130112000000093 y[1] (analytic) = -0.9915473684717567 y[1] (numeric) = -0.9915473684717689 absolute error = 1.221245327087672e-14 relative error = 1.231656061948853e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400960000000922 y[1] (analytic) = -0.9902025955107238 y[1] (numeric) = -0.9902025955107364 absolute error = 1.265654248072678e-14 relative error = 1.27817706579519e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500800000000913 y[1] (analytic) = -0.9887591197213761 y[1] (numeric) = -0.9887591197213894 absolute error = 1.332267629550188e-14 relative error = 1.347413746156505e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600640000000905 y[1] (analytic) = -0.9872170849885546 y[1] (numeric) = -0.9872170849885686 absolute error = 1.398881011027697e-14 relative error = 1.41699432910839e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700480000000897 y[1] (analytic) = -0.9855766450213997 y[1] (numeric) = -0.9855766450214147 absolute error = 1.498801083243961e-14 relative error = 1.520735186669747e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800320000000888 y[1] (analytic) = -0.9838379633380289 y[1] (numeric) = -0.9838379633380451 absolute error = 1.620925615952729e-14 relative error = 1.647553434971291e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.190016000000088 y[1] (analytic) = -0.9820012132492376 y[1] (numeric) = -0.9820012132492546 absolute error = 1.69864122767649e-14 relative error = 1.729775080476774e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000871 y[1] (analytic) = -0.9800665778412243 y[1] (numeric) = -0.9800665778412422 absolute error = 1.787459069646502e-14 relative error = 1.823813922502803e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2101120000000863 y[1] (analytic) = -0.9780075610811864 y[1] (numeric) = -0.9780075610812047 absolute error = 1.831867990631508e-14 relative error = 1.873061174093971e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200960000000854 y[1] (analytic) = -0.9758764947898678 y[1] (numeric) = -0.9758764947898869 absolute error = 1.909583602355269e-14 relative error = 1.956788192512469e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300800000000846 y[1] (analytic) = -0.9736481536877597 y[1] (numeric) = -0.9736481536877797 absolute error = 1.998401444325282e-14 relative error = 2.052488300579833e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400640000000838 y[1] (analytic) = -0.9713227598946286 y[1] (numeric) = -0.9713227598946491 absolute error = 2.05391259555654e-14 relative error = 2.114552114252273e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500480000000829 y[1] (analytic) = -0.9689005452043975 y[1] (numeric) = -0.968900545204419 absolute error = 2.153832667772804e-14 relative error = 2.222965688721369e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600320000000843 y[1] (analytic) = -0.9663817510620407 y[1] (numeric) = -0.9663817510620633 absolute error = 2.253752739989068e-14 relative error = 2.332155731947777e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700160000000856 y[1] (analytic) = -0.9637666285395182 y[1] (numeric) = -0.9637666285395422 absolute error = 2.398081733190338e-14 relative error = 2.488239021955311e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000869 y[1] (analytic) = -0.9610554383107469 y[1] (numeric) = -0.9610554383107717 absolute error = 2.475797344914099e-14 relative error = 2.576123339217375e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2901120000000882 y[1] (analytic) = -0.9582118428534215 y[1] (numeric) = -0.9582118428534474 absolute error = 2.586819647376615e-14 relative error = 2.69963230643594e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000960000000896 y[1] (analytic) = -0.9553081147835931 y[1] (numeric) = -0.9553081147836199 absolute error = 2.675637489346627e-14 relative error = 2.800811013682996e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100800000000909 y[1] (analytic) = -0.9523091621473287 y[1] (numeric) = -0.9523091621473572 absolute error = 2.842170943040401e-14 relative error = 2.98450446137858e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200640000000922 y[1] (analytic) = -0.9492152838785121 y[1] (numeric) = -0.9492152838785416 absolute error = 2.953193245502916e-14 relative error = 3.111194368295579e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300480000000935 y[1] (analytic) = -0.9460267883731589 y[1] (numeric) = -0.9460267883731903 absolute error = 3.141931159689193e-14 relative error = 3.321186247899211e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400320000000949 y[1] (analytic) = -0.9427439934586775 y[1] (numeric) = -0.9427439934587102 absolute error = 3.26405569239796e-14 relative error = 3.462292748663406e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500160000000962 y[1] (analytic) = -0.9393672263621872 y[1] (numeric) = -0.9393672263622209 absolute error = 3.375077994860476e-14 relative error = 3.59292713237492e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000975 y[1] (analytic) = -0.9358968236779005 y[1] (numeric) = -0.9358968236779355 absolute error = 3.497202527569243e-14 relative error = 3.736739391662734e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3701120000000989 y[1] (analytic) = -0.9322868388301462 y[1] (numeric) = -0.9322868388301829 absolute error = 3.674838211509268e-14 relative error = 3.941746315029541e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800960000001002 y[1] (analytic) = -0.9286290229321775 y[1] (numeric) = -0.9286290229322158 absolute error = 3.83026943495679e-14 relative error = 4.124649715192602e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900800000001015 y[1] (analytic) = -0.9248786418243881 y[1] (numeric) = -0.9248786418244274 absolute error = 3.930189507173054e-14 relative error = 4.249411035614878e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000640000001028 y[1] (analytic) = -0.9210360693426214 y[1] (numeric) = -0.9210360693426624 absolute error = 4.096722960866828e-14 relative error = 4.447950625637078e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100480000001042 y[1] (analytic) = -0.9171016885123044 y[1] (numeric) = -0.917101688512347 absolute error = 4.25215418431435e-14 relative error = 4.636513308804468e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200320000001055 y[1] (analytic) = -0.913075891510268 y[1] (numeric) = -0.913075891510312 absolute error = 4.39648317751562e-14 relative error = 4.815024926617701e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300160000001068 y[1] (analytic) = -0.9089590796256544 y[1] (numeric) = -0.9089590796257001 absolute error = 4.574118861455645e-14 relative error = 5.032260487831256e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000001081 y[1] (analytic) = -0.9047516632199174 y[1] (numeric) = -0.9047516632199647 absolute error = 4.729550084903167e-14 relative error = 5.227456634974495e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4501120000001095 y[1] (analytic) = -0.9003983805653064 y[1] (numeric) = -0.9003983805653555 absolute error = 4.907185768843192e-14 relative error = 5.45001620922759e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600960000001108 y[1] (analytic) = -0.896009874378263 y[1] (numeric) = -0.8960098743783133 absolute error = 5.029310301551959e-14 relative error = 5.613007674766725e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700800000001121 y[1] (analytic) = -0.8915320544394679 y[1] (numeric) = -0.8915320544395203 absolute error = 5.240252676230739e-14 relative error = 5.877806243910588e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800640000001135 y[1] (analytic) = -0.8869653670954517 y[1] (numeric) = -0.8869653670955058 absolute error = 5.406786129924512e-14 relative error = 6.095825531080354e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900480000001148 y[1] (analytic) = -0.8823102675509965 y[1] (numeric) = -0.882310267551052 absolute error = 5.551115123125783e-14 relative error = 6.291568088098822e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000320000001161 y[1] (analytic) = -0.8775672198237621 y[1] (numeric) = -0.8775672198238197 absolute error = 5.762057497804562e-14 relative error = 6.56594431474062e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100160000001174 y[1] (analytic) = -0.8727366966980329 y[1] (numeric) = -0.8727366966980922 absolute error = 5.928590951498336e-14 relative error = 6.79310377795381e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000001187 y[1] (analytic) = -0.8678191796775909 y[1] (numeric) = -0.867819179677652 absolute error = 6.106226635438361e-14 relative error = 7.036289100808908e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.53011200000012 y[1] (analytic) = -0.8627504453690779 y[1] (numeric) = -0.8627504453691401 absolute error = 6.228351168147128e-14 relative error = 7.219180472845411e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400960000001214 y[1] (analytic) = -0.8576593203563172 y[1] (numeric) = -0.8576593203563813 absolute error = 6.405986852087153e-14 relative error = 7.469150862169569e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500800000001227 y[1] (analytic) = -0.8524827043530933 y[1] (numeric) = -0.8524827043531592 absolute error = 6.59472476627343e-14 relative error = 7.735904473602006e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.560064000000124 y[1] (analytic) = -0.8472211133615281 y[1] (numeric) = -0.8472211133615952 absolute error = 6.716849298982197e-14 relative error = 7.928094794913318e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700480000001253 y[1] (analytic) = -0.8418750718540019 y[1] (numeric) = -0.841875071854071 absolute error = 6.905587213168474e-14 relative error = 8.202627021561273e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800320000001267 y[1] (analytic) = -0.8364451127208743 y[1] (numeric) = -0.8364451127209447 absolute error = 7.038813976123492e-14 relative error = 8.415153450089412e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.590016000000128 y[1] (analytic) = -0.8309317772173657 y[1] (numeric) = -0.8309317772174382 absolute error = 7.249756350802272e-14 relative error = 8.724851485497815e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000001293 y[1] (analytic) = -0.8253356149096053 y[1] (numeric) = -0.8253356149096787 absolute error = 7.338574192772285e-14 relative error = 8.891624280113055e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6101120000001307 y[1] (analytic) = -0.8195838515491751 y[1] (numeric) = -0.81958385154925 absolute error = 7.482903185973555e-14 relative error = 9.130125211507513e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.620096000000132 y[1] (analytic) = -0.8138226735367794 y[1] (numeric) = -0.813822673536856 absolute error = 7.66053886991358e-14 relative error = 9.413032001949224e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300800000001333 y[1] (analytic) = -0.8079803741458002 y[1] (numeric) = -0.8079803741458782 absolute error = 7.80486786311485e-14 relative error = 9.659724558738429e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400640000001346 y[1] (analytic) = -0.802057535733299 y[1] (numeric) = -0.8020575357333788 absolute error = 7.982503547054876e-14 relative error = 9.952532320211535e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.650048000000136 y[1] (analytic) = -0.7960547486844208 y[1] (numeric) = -0.7960547486845024 absolute error = 8.160139230994901e-14 relative error = 1.025072615229109e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600320000001373 y[1] (analytic) = -0.7899726113535451 y[1] (numeric) = -0.7899726113536283 absolute error = 8.315570454442422e-14 relative error = 1.052640349162797e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700160000001386 y[1] (analytic) = -0.7838117300046419 y[1] (numeric) = -0.783811730004727 absolute error = 8.515410598874951e-14 relative error = 1.086410201953028e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000001399 y[1] (analytic) = -0.77757271875084 y[1] (numeric) = -0.7775727187509271 absolute error = 8.715250743307479e-14 relative error = 1.120827741655907e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6901120000001413 y[1] (analytic) = -0.7711747179955019 y[1] (numeric) = -0.7711747179955912 absolute error = 8.93729534823251e-14 relative error = 1.158919650719753e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000960000001426 y[1] (analytic) = -0.7647803388621239 y[1] (numeric) = -0.764780338862215 absolute error = 9.103828801926284e-14 relative error = 1.190384786234357e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100800000001439 y[1] (analytic) = -0.7583097268620302 y[1] (numeric) = -0.7583097268621229 absolute error = 9.270362255620057e-14 relative error = 1.222503408202588e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200640000001453 y[1] (analytic) = -0.7517635269821237 y[1] (numeric) = -0.7517635269822185 absolute error = 9.481304630298837e-14 relative error = 1.261208384019446e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300480000001466 y[1] (analytic) = -0.7451423917438639 y[1] (numeric) = -0.7451423917439604 absolute error = 9.64783808399261e-14 relative error = 1.294764355227956e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400320000001479 y[1] (analytic) = -0.7384469811382238 y[1] (numeric) = -0.7384469811383221 absolute error = 9.825473767932635e-14 relative error = 1.330559135442316e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500160000001492 y[1] (analytic) = -0.731677962559903 y[1] (numeric) = -0.7316779625600034 absolute error = 1.003641614261142e-13 relative error = 1.371698569066815e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000001506 y[1] (analytic) = -0.7248360107408015 y[1] (numeric) = -0.7248360107409035 absolute error = 1.020294959630519e-13 relative error = 1.407621785495661e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7701120000001519 y[1] (analytic) = -0.7178326979615386 y[1] (numeric) = -0.717832697961643 absolute error = 1.043609643147647e-13 relative error = 1.453834084336409e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800960000001532 y[1] (analytic) = -0.7108460199121405 y[1] (numeric) = -0.7108460199122471 absolute error = 1.06581410364015e-13 relative error = 1.499360021417695e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900800000001545 y[1] (analytic) = -0.7037884851380884 y[1] (numeric) = -0.7037884851381967 absolute error = 1.082467449009528e-13 relative error = 1.538057913518065e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000640000001559 y[1] (analytic) = -0.6966607971304121 y[1] (numeric) = -0.6966607971305223 absolute error = 1.10245146345278e-13 relative error = 1.582479548144297e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100480000001572 y[1] (analytic) = -0.6894636663729745 y[1] (numeric) = -0.6894636663730871 absolute error = 1.125766146969909e-13 relative error = 1.632814319124556e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200320000001585 y[1] (analytic) = -0.6821978102716532 y[1] (numeric) = -0.682197810271768 absolute error = 1.147970607462412e-13 relative error = 1.682753286770719e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300160000001598 y[1] (analytic) = -0.6748639530828278 y[1] (numeric) = -0.674863953082945 absolute error = 1.172395514004165e-13 relative error = 1.73723238387319e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000001612 y[1] (analytic) = -0.6674628258411881 y[1] (numeric) = -0.6674628258413071 absolute error = 1.190159082398168e-13 relative error = 1.783109165515304e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8501120000001625 y[1] (analytic) = -0.659898998340246 y[1] (numeric) = -0.6598989983403676 absolute error = 1.215694211964546e-13 relative error = 1.842242850833561e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600960000001638 y[1] (analytic) = -0.6523647122715697 y[1] (numeric) = -0.6523647122716935 absolute error = 1.23789867245705e-13 relative error = 1.897556150985878e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700800000001652 y[1] (analytic) = -0.6447653988615332 y[1] (numeric) = -0.644765398861659 absolute error = 1.257882686900302e-13 relative error = 1.950915308298731e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800640000001665 y[1] (analytic) = -0.6371018156053505 y[1] (numeric) = -0.6371018156054784 absolute error = 1.27897692436818e-13 relative error = 2.007492198327741e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900480000001678 y[1] (analytic) = -0.6293747264046169 y[1] (numeric) = -0.6293747264047471 absolute error = 1.302291607885309e-13 relative error = 2.069183196034602e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000320000001691 y[1] (analytic) = -0.6215849014911639 y[1] (numeric) = -0.6215849014912959 absolute error = 1.320055176279311e-13 relative error = 2.12369247244027e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100160000001705 y[1] (analytic) = -0.613733117350283 y[1] (numeric) = -0.6137331173504171 absolute error = 1.341149413747189e-13 relative error = 2.185232270889074e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000001718 y[1] (analytic) = -0.6058201566433261 y[1] (numeric) = -0.6058201566434622 absolute error = 1.361133428190442e-13 relative error = 2.246761540144335e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9301120000001731 y[1] (analytic) = -0.5977441971043534 y[1] (numeric) = -0.5977441971044911 absolute error = 1.376676550535194e-13 relative error = 2.30311989176008e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400960000001745 y[1] (analytic) = -0.5897104967356943 y[1] (numeric) = -0.5897104967358338 absolute error = 1.394440118929197e-13 relative error = 2.36461810778006e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500800000001758 y[1] (analytic) = -0.5816180143620409 y[1] (numeric) = -0.5816180143621826 absolute error = 1.417754802446325e-13 relative error = 2.437604694898278e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600640000001771 y[1] (analytic) = -0.5734675566374071 y[1] (numeric) = -0.5734675566375511 absolute error = 1.439959262938828e-13 relative error = 2.510969009968401e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700480000001784 y[1] (analytic) = -0.565259935994757 y[1] (numeric) = -0.5652599359949031 absolute error = 1.461053500406706e-13 relative error = 2.584746251006648e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800320000001798 y[1] (analytic) = -0.5569959705650213 y[1] (numeric) = -0.5569959705651694 absolute error = 1.481037514849959e-13 relative error = 2.658973481168243e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900160000001811 y[1] (analytic) = -0.5486764840955468 y[1] (numeric) = -0.5486764840956969 absolute error = 1.501021529293212e-13 relative error = 2.735713253261685e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ; Iterations = 15625 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 9 Minutes 59.0 Seconds Percent Done = 100 %