##############ECHO OF PROBLEM################# ##############temp/sing7_backpostode.ode################# diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=64; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=3.0; x_end=2.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=6.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0/ ( x - 6.0 ) / ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )) ; } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 1000000 step_error = 3.333333333333334e-15 est_needed_step_err = 3.333333333333334e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 1000000 step_error = 3.333333333333334e-15 est_needed_step_err = 3.333333333333334e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.922909014320238e-170 estimated_step_error = 3.922909014320238e-170 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 500000 step_error = 4.714045207910317e-15 est_needed_step_err = 4.714045207910317e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.632619252744838e-162 estimated_step_error = 2.632619252744838e-162 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 250000 step_error = 6.666666666666667e-15 est_needed_step_err = 6.666666666666667e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.766720306867125e-154 estimated_step_error = 1.766720306867125e-154 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 125000 step_error = 9.428090415820634e-15 est_needed_step_err = 9.428090415820634e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.18562516685425e-146 estimated_step_error = 1.18562516685425e-146 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 62500 step_error = 1.333333333333333e-14 est_needed_step_err = 1.333333333333333e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.956585591890105e-139 estimated_step_error = 7.956585591890105e-139 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 31250 step_error = 1.885618083164127e-14 est_needed_step_err = 1.885618083164127e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.339560492476499e-131 estimated_step_error = 5.339560492476499e-131 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 15625 step_error = 2.666666666666667e-14 est_needed_step_err = 2.666666666666667e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.583299986067772e-123 estimated_step_error = 3.583299986067772e-123 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 7812.5 step_error = 3.771236166328254e-14 est_needed_step_err = 3.771236166328254e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.404687214619923e-115 estimated_step_error = 2.404687214619923e-115 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.000256 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 3906.25 step_error = 5.333333333333334e-14 est_needed_step_err = 5.333333333333334e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.613725122074629e-107 estimated_step_error = 1.613725122074629e-107 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.000512 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 1953.125 step_error = 7.542472332656507e-14 est_needed_step_err = 7.542472332656507e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.082908106525385e-99 estimated_step_error = 1.082908106525385e-99 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.001024 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 976.5625 step_error = 1.066666666666667e-13 est_needed_step_err = 1.066666666666667e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.266676210378411e-92 estimated_step_error = 7.266676210378411e-92 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.002048 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 488.28125 step_error = 1.508494466531301e-13 est_needed_step_err = 1.508494466531301e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.875782673742115e-84 estimated_step_error = 4.875782673742115e-84 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.004096 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 244.140625 step_error = 2.133333333333333e-13 est_needed_step_err = 2.133333333333333e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.271007566269152e-76 estimated_step_error = 3.271007566269152e-76 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.004115226337448559 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -0.008192 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1 estimated_steps = 122.0703125 step_error = 3.016988933062603e-13 est_needed_step_err = 3.016988933062603e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.193694873261646e-68 estimated_step_error = 2.193694873261646e-68 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.831 Order of pole (three term test) = 2.265e-13 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = -0.004115226337448559 y[1] (numeric) = -0.004115226337448559 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = -0.01 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 9.625e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = -0.004047319803679482 y[1] (numeric) = -0.004047319803678891 absolute error = 5.906733435701028e-16 relative error = 1.459418509585312e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.01 Order of pole (three term test) = 2.319e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = -0.003980753496269771 y[1] (numeric) = -0.003980753496268612 absolute error = 1.158795281952507e-15 relative error = 2.91099482306145e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.02 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970000000000001 y[1] (analytic) = -0.0039154966568179 y[1] (numeric) = -0.003915496656816194 absolute error = 1.706967900361178e-15 relative error = 4.359518216900791e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.03 Order of pole (three term test) = 1.68e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960000000000001 y[1] (analytic) = -0.003851519331037456 y[1] (numeric) = -0.00385151933103522 absolute error = 2.23562487966511e-15 relative error = 5.804527220334413e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.04 Order of pole (three term test) = 2.021e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950000000000001 y[1] (analytic) = -0.003788792345184573 y[1] (numeric) = -0.003788792345181828 absolute error = 2.745633581602291e-15 relative error = 7.246724896633352e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.05 Order of pole (three term test) = 1.214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940000000000001 y[1] (analytic) = -0.00372728728325069 y[1] (numeric) = -0.003727287283247453 absolute error = 3.236994006172722e-15 relative error = 8.68458414976168e-11 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 13 h = -0.01 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.06 Order of pole (three term test) = 1.459e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930000000000001 y[1] (analytic) = -0.00366697646489337 y[1] (numeric) = -0.003666976464889659 absolute error = 3.711007195983385e-15 relative error = 1.012007366698847e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.07 Order of pole (three term test) = 2.627e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920000000000002 y[1] (analytic) = -0.003607832924079002 y[1] (numeric) = -0.003607832924074833 absolute error = 4.168974193641262e-15 relative error = 1.155534161744895e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.08 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910000000000002 y[1] (analytic) = -0.003549830388412209 y[1] (numeric) = -0.003549830388407598 absolute error = 4.611328680015347e-15 relative error = 1.299027890196729e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.09 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000000002 y[1] (analytic) = -0.003492943259127745 y[1] (numeric) = -0.003492943259122708 absolute error = 5.036769612498659e-15 relative error = 1.441984377884351e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.1 Order of pole (three term test) = 1.509e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890000000000002 y[1] (analytic) = -0.003437146591721613 y[1] (numeric) = -0.003437146591716165 absolute error = 5.448332757174157e-15 relative error = 1.585132496326021e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.11 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880000000000003 y[1] (analytic) = -0.003382416077198992 y[1] (numeric) = -0.003382416077193147 absolute error = 5.844717071434857e-15 relative error = 1.727971053246329e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.12 Order of pole (three term test) = 3.246e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870000000000003 y[1] (analytic) = -0.003328728023917453 y[1] (numeric) = -0.003328728023911224 absolute error = 6.22895832136372e-15 relative error = 1.871272833529096e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.13 Order of pole (three term test) = 1.294e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860000000000003 y[1] (analytic) = -0.003276059340004729 y[1] (numeric) = -0.003276059339998131 absolute error = 6.59845442174678e-15 relative error = 2.014143743115854e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.14 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850000000000003 y[1] (analytic) = -0.003224387516331124 y[1] (numeric) = -0.003224387516324167 absolute error = 6.956241138666996e-15 relative error = 2.157383721229069e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.15 Order of pole (three term test) = 9.245e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840000000000003 y[1] (analytic) = -0.003173690610017334 y[1] (numeric) = -0.003173690610010033 absolute error = 7.301017429517387e-15 relative error = 2.300481781832385e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.16 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830000000000004 y[1] (analytic) = -0.003123947228459279 y[1] (numeric) = -0.003123947228451644 absolute error = 7.634951698642922e-15 relative error = 2.444007897792965e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.17 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820000000000004 y[1] (analytic) = -0.003075136513852106 y[1] (numeric) = -0.003075136513844149 absolute error = 7.95674290343662e-15 relative error = 2.587443798867164e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.18 Order of pole (three term test) = 7.86e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810000000000004 y[1] (analytic) = -0.003027238128196324 y[1] (numeric) = -0.003027238128188057 absolute error = 8.267692086505463e-15 relative error = 2.731100672093967e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.19 Order of pole (three term test) = 9.37e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800000000000004 y[1] (analytic) = -0.002980232238769551 y[1] (numeric) = -0.002980232238760983 absolute error = 8.56779924784945e-15 relative error = 2.874876372516137e-10 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.2 Order of pole (three term test) = 1.117e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790000000000004 y[1] (analytic) = -0.002934099504048039 y[1] (numeric) = -0.00293409950403918 absolute error = 8.85879911094456e-15 relative error = 3.019256538069855e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 1.33e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780000000000005 y[1] (analytic) = -0.00288882106006271 y[1] (numeric) = -0.00288882106005357 absolute error = 9.139390633183808e-15 relative error = 3.163709500575786e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.22 Order of pole (three term test) = 7.914e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770000000000005 y[1] (analytic) = -0.002844378507174988 y[1] (numeric) = -0.002844378507165577 absolute error = 9.410441176305184e-15 relative error = 3.308434919110521e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.23 Order of pole (three term test) = 9.414e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760000000000005 y[1] (analytic) = -0.002800753897258266 y[1] (numeric) = -0.002800753897248593 absolute error = 9.672818102046676e-15 relative error = 3.453648002245274e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.24 Order of pole (three term test) = 2.239e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750000000000005 y[1] (analytic) = -0.002757929721271364 y[1] (numeric) = -0.002757929721261438 absolute error = 9.92608772953929e-15 relative error = 3.599108292347462e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.25 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740000000000006 y[1] (analytic) = -0.002715888897210831 y[1] (numeric) = -0.002715888897200661 absolute error = 1.017025005878303e-14 relative error = 3.744722425585115e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.26 Order of pole (three term test) = 7.9e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730000000000006 y[1] (analytic) = -0.002674614758429429 y[1] (numeric) = -0.002674614758419022 absolute error = 1.040703981325386e-14 relative error = 3.891042543773676e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.27 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720000000000006 y[1] (analytic) = -0.002634091042308584 y[1] (numeric) = -0.002634091042297948 absolute error = 1.06360233120828e-14 relative error = 4.03783435775292e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.28 Order of pole (three term test) = 1.113e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710000000000006 y[1] (analytic) = -0.002594301879273053 y[1] (numeric) = -0.002594301879262196 absolute error = 1.085720055526984e-14 relative error = 4.185018190062032e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.29 Order of pole (three term test) = 2.639e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700000000000006 y[1] (analytic) = -0.002555231782136466 y[1] (numeric) = -0.002555231782125394 absolute error = 1.107187258542197e-14 relative error = 4.333020848764107e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690000000000007 y[1] (analytic) = -0.002516865635766796 y[1] (numeric) = -0.002516865635755517 absolute error = 1.127830467906321e-14 relative error = 4.481091290209908e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.31 Order of pole (three term test) = 1.853e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680000000000007 y[1] (analytic) = -0.002479188687061258 y[1] (numeric) = -0.002479188687049778 absolute error = 1.147953260227652e-14 relative error = 4.630358577460255e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.32 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670000000000007 y[1] (analytic) = -0.002442186535220432 y[1] (numeric) = -0.00244218653520876 absolute error = 1.167252058897894e-14 relative error = 4.779536870194634e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.33 Order of pole (three term test) = 1.298e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660000000000007 y[1] (analytic) = -0.00240584512231186 y[1] (numeric) = -0.0024058451223 absolute error = 1.186030440525343e-14 relative error = 4.929787165125762e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.34 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650000000000007 y[1] (analytic) = -0.002370150724113625 y[1] (numeric) = -0.002370150724101583 absolute error = 1.2042016689362e-14 relative error = 5.080696584756398e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.35 Order of pole (three term test) = 9.075e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640000000000008 y[1] (analytic) = -0.002335089941228831 y[1] (numeric) = -0.002335089941216613 absolute error = 1.221765744130465e-14 relative error = 5.232199936108313e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.36 Order of pole (three term test) = 1.072e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630000000000008 y[1] (analytic) = -0.002300649690462186 y[1] (numeric) = -0.002300649690449799 absolute error = 1.238722666108139e-14 relative error = 5.384229816662296e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.37 Order of pole (three term test) = 2.533e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620000000000008 y[1] (analytic) = -0.002266817196450206 y[1] (numeric) = -0.002266817196437654 absolute error = 1.255202539129918e-14 relative error = 5.537290528303483e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.38 Order of pole (three term test) = 7.476e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610000000000008 y[1] (analytic) = -0.002233579983536851 y[1] (numeric) = -0.00223357998352414 absolute error = 1.271118627022005e-14 relative error = 5.690947431437857e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.39 Order of pole (three term test) = 1.764e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600000000000009 y[1] (analytic) = -0.002200925867886723 y[1] (numeric) = -0.002200925867873858 absolute error = 1.286557665958199e-14 relative error = 5.845529305326041e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.4 Order of pole (three term test) = 1.04e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590000000000009 y[1] (analytic) = -0.002168842949828177 y[1] (numeric) = -0.002168842949815163 absolute error = 1.3014329197647e-14 relative error = 6.000586256684949e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.41 Order of pole (three term test) = 1.226e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580000000000009 y[1] (analytic) = -0.002137319606419022 y[1] (numeric) = -0.002137319606405863 absolute error = 1.315961228876006e-14 relative error = 6.157063384080571e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.42 Order of pole (three term test) = 7.224e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570000000000009 y[1] (analytic) = -0.002106344484227693 y[1] (numeric) = -0.002106344484214393 absolute error = 1.329969120944519e-14 relative error = 6.314110208008838e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.43 Order of pole (three term test) = 8.507e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560000000000009 y[1] (analytic) = -0.002075906492323058 y[1] (numeric) = -0.002075906492309623 absolute error = 1.343499964057138e-14 relative error = 6.471871295867883e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.44 Order of pole (three term test) = 1.001e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.55000000000001 y[1] (analytic) = -0.002045994795466241 y[1] (numeric) = -0.002045994795452675 absolute error = 1.356640494387662e-14 relative error = 6.630713320453539e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.45 Order of pole (three term test) = 2.356e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54000000000001 y[1] (analytic) = -0.002016598807498076 y[1] (numeric) = -0.002016598807484383 absolute error = 1.369347343849192e-14 relative error = 6.790380608962541e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.46 Order of pole (three term test) = 6.927e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53000000000001 y[1] (analytic) = -0.001987708184916025 y[1] (numeric) = -0.001987708184902208 absolute error = 1.381707248615527e-14 relative error = 6.951258032244305e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.47 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52000000000001 y[1] (analytic) = -0.001959312820634606 y[1] (numeric) = -0.00195931282062067 absolute error = 1.393633472512867e-14 relative error = 7.112868643719078e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 9.566e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51000000000001 y[1] (analytic) = -0.001931402837923588 y[1] (numeric) = -0.001931402837909536 absolute error = 1.405191067671563e-14 relative error = 7.275494475208781e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.49 Order of pole (three term test) = 2.247e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500000000000011 y[1] (analytic) = -0.001903968584518384 y[1] (numeric) = -0.00190396858450422 absolute error = 1.416401718135063e-14 relative error = 7.439207398967387e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.5 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490000000000011 y[1] (analytic) = -0.001877000626897286 y[1] (numeric) = -0.001877000626883013 absolute error = 1.427265423903368e-14 relative error = 7.603968818394386e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.51 Order of pole (three term test) = 7.735e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480000000000011 y[1] (analytic) = -0.001850489744720355 y[1] (numeric) = -0.001850489744705977 absolute error = 1.437803869019927e-14 relative error = 7.769855915830581e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.52 Order of pole (three term test) = 1.814e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470000000000011 y[1] (analytic) = -0.001824426925424957 y[1] (numeric) = -0.001824426925410477 absolute error = 1.447995369441291e-14 relative error = 7.93671343731136e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 2.126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460000000000012 y[1] (analytic) = -0.00179880335897311 y[1] (numeric) = -0.001798803358958531 absolute error = 1.457883293254358e-14 relative error = 8.104739664743712e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.54 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450000000000012 y[1] (analytic) = -0.001773610432745949 y[1] (numeric) = -0.001773610432731274 absolute error = 1.46751100854603e-14 relative error = 8.274145107919732e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.55 Order of pole (three term test) = 1.459e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440000000000012 y[1] (analytic) = -0.001748839726580813 y[1] (numeric) = -0.001748839726566045 absolute error = 1.476770095099056e-14 relative error = 8.444284931623294e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.56 Order of pole (three term test) = 8.539e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430000000000012 y[1] (analytic) = -0.001724483007946558 y[1] (numeric) = -0.0017244830079317 absolute error = 1.485790657174135e-14 relative error = 8.615861393400173e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.57 Order of pole (three term test) = 1.998e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420000000000012 y[1] (analytic) = -0.001700532227252897 y[1] (numeric) = -0.001700532227237951 absolute error = 1.494551010727818e-14 relative error = 8.788725004889625e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.58 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410000000000013 y[1] (analytic) = -0.00167697951328966 y[1] (numeric) = -0.00167697951327463 absolute error = 1.503007787673205e-14 relative error = 8.962588843585918e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.59 Order of pole (three term test) = 2.732e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400000000000013 y[1] (analytic) = -0.00165381716879205 y[1] (numeric) = -0.001653817168776937 absolute error = 1.511247724184095e-14 relative error = 9.137937087011331e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.6 Order of pole (three term test) = 1.596e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390000000000013 y[1] (analytic) = -0.00163103766612805 y[1] (numeric) = -0.001631037666112858 absolute error = 1.519205768130139e-14 relative error = 9.314351223639174e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.61 Order of pole (three term test) = 9.324e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380000000000013 y[1] (analytic) = -0.001608633643104321 y[1] (numeric) = -0.001608633643089052 absolute error = 1.526903603554786e-14 relative error = 9.49192881859779e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.62 Order of pole (three term test) = 2.177e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370000000000013 y[1] (analytic) = -0.001586597898886991 y[1] (numeric) = -0.001586597898871647 absolute error = 1.534406282588385e-14 relative error = 9.671046984650499e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.63 Order of pole (three term test) = 1.27e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360000000000014 y[1] (analytic) = -0.001564923390033899 y[1] (numeric) = -0.001564923390018483 absolute error = 1.541692121187488e-14 relative error = 9.851550120636205e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -0.01 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.64 Order of pole (three term test) = 7.41e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350000000000014 y[1] (analytic) = -0.001543603226634952 y[1] (numeric) = -0.001543603226619465 absolute error = 1.548761119352093e-14 relative error = 1.00334146277239e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.65 Order of pole (three term test) = 8.641e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340000000000014 y[1] (analytic) = -0.001522630668557355 y[1] (numeric) = -0.001522630668541799 absolute error = 1.555591593038752e-14 relative error = 1.021647353597984e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.66 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330000000000014 y[1] (analytic) = -0.001501999121792601 y[1] (numeric) = -0.001501999121776978 absolute error = 1.562248594377813e-14 relative error = 1.040112854735431e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.67 Order of pole (three term test) = 1.173e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320000000000014 y[1] (analytic) = -0.001481702134902178 y[1] (numeric) = -0.001481702134886491 absolute error = 1.568753807412726e-14 relative error = 1.058751128489327e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.68 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.68 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310000000000015 y[1] (analytic) = -0.001461733395559088 y[1] (numeric) = -0.001461733395543338 absolute error = 1.574977127882793e-14 relative error = 1.077472220767311e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.69 Order of pole (three term test) = 1.591e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300000000000015 y[1] (analytic) = -0.001442086727182327 y[1] (numeric) = -0.001442086727166516 absolute error = 1.581070344092161e-14 relative error = 1.096376739546999e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.7 Order of pole (three term test) = 2.777e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290000000000015 y[1] (analytic) = -0.001422756085661588 y[1] (numeric) = -0.001422756085645719 absolute error = 1.586968403910483e-14 relative error = 1.115418461325741e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.71 Order of pole (three term test) = 2.153e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280000000000015 y[1] (analytic) = -0.001403735556169546 y[1] (numeric) = -0.001403735556153619 absolute error = 1.592714675424656e-14 relative error = 1.134625869113687e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.72 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.72 Order of pole (three term test) = 1.252e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270000000000016 y[1] (analytic) = -0.001385019350059136 y[1] (numeric) = -0.001385019350043153 absolute error = 1.598330842678131e-14 relative error = 1.154013366390792e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.73 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.73 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260000000000016 y[1] (analytic) = -0.001366601801843355 y[1] (numeric) = -0.001366601801827318 absolute error = 1.603686801410209e-14 relative error = 1.173485062910834e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.74 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.74 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250000000000016 y[1] (analytic) = -0.001348477366255173 y[1] (numeric) = -0.001348477366239083 absolute error = 1.608934339925039e-14 relative error = 1.193148939824756e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.75 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.75 Order of pole (three term test) = 9.814e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240000000000016 y[1] (analytic) = -0.001330640615385216 y[1] (numeric) = -0.001330640615369075 absolute error = 1.61405177417917e-14 relative error = 1.21298850757829e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.76 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.76 Order of pole (three term test) = 1.139e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230000000000016 y[1] (analytic) = -0.001313086235894977 y[1] (numeric) = -0.001313086235878787 absolute error = 1.618974052042255e-14 relative error = 1.232953333745662e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.77 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.77 Order of pole (three term test) = 2.644e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220000000000017 y[1] (analytic) = -0.001295809026303361 y[1] (numeric) = -0.001295809026287123 absolute error = 1.62378790968809e-14 relative error = 1.253107423028513e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210000000000017 y[1] (analytic) = -0.001278803894344438 y[1] (numeric) = -0.001278803894328154 absolute error = 1.628449979029778e-14 relative error = 1.273416499771125e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.79 Order of pole (three term test) = 8.889e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200000000000017 y[1] (analytic) = -0.00126206585439438 y[1] (numeric) = -0.00126206585437805 absolute error = 1.633025312197667e-14 relative error = 1.293930349602317e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.8 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190000000000017 y[1] (analytic) = -0.00124559002496556 y[1] (numeric) = -0.001245590024949186 absolute error = 1.637427173017958e-14 relative error = 1.314579548807186e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.81 Order of pole (three term test) = 2.387e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180000000000017 y[1] (analytic) = -0.001229371626265921 y[1] (numeric) = -0.001229371626249504 absolute error = 1.641720613621001e-14 relative error = 1.335414433313012e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.82 Order of pole (three term test) = 6.912e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170000000000018 y[1] (analytic) = -0.001213405977821727 y[1] (numeric) = -0.001213405977805269 absolute error = 1.645840581876445e-14 relative error = 1.356380809027341e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.83 Order of pole (three term test) = 8.001e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160000000000018 y[1] (analytic) = -0.001197688496161909 y[1] (numeric) = -0.00119768849614541 absolute error = 1.649938866088441e-14 relative error = 1.377602666616407e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.84 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150000000000018 y[1] (analytic) = -0.001182214692562232 y[1] (numeric) = -0.001182214692545694 absolute error = 1.653841993909388e-14 relative error = 1.398935408529724e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.85 Order of pole (three term test) = 1.071e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140000000000018 y[1] (analytic) = -0.001166980170847616 y[1] (numeric) = -0.001166980170831039 absolute error = 1.657680069599987e-14 relative error = 1.420486920866839e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.86 Order of pole (three term test) = 1.239e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130000000000019 y[1] (analytic) = -0.001151980625250938 y[1] (numeric) = -0.001151980625234325 absolute error = 1.661388041029888e-14 relative error = 1.442201374409386e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.87 Order of pole (three term test) = 7.158e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120000000000019 y[1] (analytic) = -0.001137211838326745 y[1] (numeric) = -0.001137211838310096 absolute error = 1.66496590819909e-14 relative error = 1.464077186049051e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.88 Order of pole (three term test) = 1.654e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110000000000019 y[1] (analytic) = -0.001122669678918316 y[1] (numeric) = -0.001122669678901631 absolute error = 1.668500407281392e-14 relative error = 1.486189961849669e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.89 Order of pole (three term test) = 2.866e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100000000000019 y[1] (analytic) = -0.001108350100176589 y[1] (numeric) = -0.001108350100159869 absolute error = 1.671926486146447e-14 relative error = 1.50848227999444e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.9 Order of pole (three term test) = 2.206e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090000000000019 y[1] (analytic) = -0.00109424913762949 y[1] (numeric) = -0.001094249137612737 absolute error = 1.675244144794252e-14 relative error = 1.53095313232176e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.91 Order of pole (three term test) = 1.273e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08000000000002 y[1] (analytic) = -0.00108036290730027 y[1] (numeric) = -0.001080362907283485 absolute error = 1.678453383224809e-14 relative error = 1.553601453625536e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.92 Order of pole (three term test) = 7.345e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07000000000002 y[1] (analytic) = -0.001066687603873473 y[1] (numeric) = -0.001066687603856657 absolute error = 1.681597569525017e-14 relative error = 1.576466777544443e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.93 Order of pole (three term test) = 2.541e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06000000000002 y[1] (analytic) = -0.001053219498907216 y[1] (numeric) = -0.00105321949889037 absolute error = 1.684633335607977e-14 relative error = 1.599508305111987e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.94 Order of pole (three term test) = 9.767e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05000000000002 y[1] (analytic) = -0.001039954939090501 y[1] (numeric) = -0.001039954939073625 absolute error = 1.687582365517137e-14 relative error = 1.622745661454354e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.95 Order of pole (three term test) = 1.126e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04000000000002 y[1] (analytic) = -0.001026890344544314 y[1] (numeric) = -0.001026890344527409 absolute error = 1.690466343295949e-14 relative error = 1.646199472297209e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.96 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000021 y[1] (analytic) = -0.001014022207165295 y[1] (numeric) = -0.001014022207148362 absolute error = 1.693285268944411e-14 relative error = 1.669870005784193e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.97 Order of pole (three term test) = 7.468e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000021 y[1] (analytic) = -0.001001347089010824 y[1] (numeric) = -0.001001347088993864 absolute error = 1.696017458419075e-14 relative error = 1.693735845474397e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.98 Order of pole (three term test) = 2.579e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000021 y[1] (analytic) = -0.0009888616207243729 y[1] (numeric) = -0.0009888616207073863 absolute error = 1.698662911719939e-14 relative error = 1.717796379311004e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.99 Order of pole (three term test) = 9.895e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000021 y[1] (analytic) = -0.000976562500000026 y[1] (numeric) = -0.0009765624999830135 absolute error = 1.70125415491218e-14 relative error = 1.742084254630026e-09 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 1.138e-13 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 0 %