##############ECHO OF PROBLEM################# ##############temp/sing4postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-2.0; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=50; /* # Not Given = 0 */ /* # No Pole = 3 */ /* # Pole = 4 */ glob_max_h=0.5; glob_type_given_pole=4; /* # Real Part */ array_given_rad_poles[1][1]=0.0; /* # Imag Part */ array_given_rad_poles[1][2]=1.0; /* # Order */ array_given_ord_poles[1][1]=1.0; /* # Not Used */ array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=30.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0 / (x * x + 1.0)); } /* 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 = 3 estimated_steps = 3000000 step_error = 3.333333333333333e-17 est_needed_step_err = 3.333333333333333e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.144417382795083e-102 estimated_step_error = 1.144417382795083e-102 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.500055238870521e-98 estimated_step_error = 7.500055238870521e-98 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.915238139881815e-93 estimated_step_error = 4.915238139881815e-93 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.221253008232601e-88 estimated_step_error = 3.221253008232601e-88 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.111083701862951e-83 estimated_step_error = 2.111083701862951e-83 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.383524180073924e-78 estimated_step_error = 1.383524180073924e-78 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.067121282759626e-74 estimated_step_error = 9.067121282759626e-74 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.942303599376937e-69 estimated_step_error = 5.942303599376937e-69 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.894446387763279e-64 estimated_step_error = 3.894446387763279e-64 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.552393236853812e-59 estimated_step_error = 2.552393236853812e-59 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.672905339814698e-54 estimated_step_error = 1.672905339814698e-54 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.096576684538303e-49 estimated_step_error = 1.096576684538303e-49 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.189428737484034e-45 estimated_step_error = 7.189428737484034e-45 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.715473481223612e-40 estimated_step_error = 4.715473481223612e-40 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.095334825281108e-35 estimated_step_error = 3.095334825281108e-35 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.035138606917341e-30 estimated_step_error = 2.035138606917341e-30 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.342434992844345e-25 estimated_step_error = 1.342434992844345e-25 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.913275833425114e-21 estimated_step_error = 8.913275833425114e-21 best_h = 0.262144 opt_iter = 19 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.997133941682e-16 estimated_step_error = 5.997133941682e-16 best_h = 0.131072 START of Soultion TOP MAIN SOLVE Loop x[1] = -2 y[1] (analytic) = 0.2 y[1] (numeric) = 0.2 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.236 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.236 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.99 y[1] (analytic) = 0.2016088385314812 y[1] (numeric) = 0.2016088385314812 absolute error = 2.775557561562891e-17 relative error = 1.37670430611081e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.227 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.227 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.98 y[1] (analytic) = 0.2032355093081863 y[1] (numeric) = 0.2032355093081863 absolute error = 2.775557561562891e-17 relative error = 1.365685342591405e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.218 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.218 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.97 y[1] (analytic) = 0.204880247495339 y[1] (numeric) = 0.204880247495339 absolute error = 5.551115123125783e-17 relative error = 2.709443780446463e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.209 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.209 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.96 y[1] (analytic) = 0.2065432914738929 y[1] (numeric) = 0.206543291473893 absolute error = 2.775557561562891e-17 relative error = 1.343813949006289e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.2 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.95 y[1] (analytic) = 0.2082248828735034 y[1] (numeric) = 0.2082248828735034 absolute error = 5.551115123125783e-17 relative error = 2.665923037881157e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.191 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.191 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.94 y[1] (analytic) = 0.2099252666050886 y[1] (numeric) = 0.2099252666050886 absolute error = 5.551115123125783e-17 relative error = 2.644329200052198e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.183 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.183 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.93 y[1] (analytic) = 0.2116446908929289 y[1] (numeric) = 0.211644690892929 absolute error = 5.551115123125783e-17 relative error = 2.622846384525701e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.174 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.174 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.92 y[1] (analytic) = 0.2133834073062479 y[1] (numeric) = 0.2133834073062479 absolute error = 5.551115123125783e-17 relative error = 2.601474591301667e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.165 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.165 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.91 y[1] (analytic) = 0.2151416707902154 y[1] (numeric) = 0.2151416707902154 absolute error = 2.775557561562891e-17 relative error = 1.290106910190047e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.156 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.156 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.9 y[1] (analytic) = 0.2169197396963124 y[1] (numeric) = 0.2169197396963124 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.147 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.147 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.89 y[1] (analytic) = 0.2187178758119901 y[1] (numeric) = 0.2187178758119901 absolute error = 2.775557561562891e-17 relative error = 1.269012672722169e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.138 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.138 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.88 y[1] (analytic) = 0.2205363443895554 y[1] (numeric) = 0.2205363443895554 absolute error = 2.775557561562891e-17 relative error = 1.258548820715077e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.129 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.129 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.87 y[1] (analytic) = 0.2223754141742089 y[1] (numeric) = 0.2223754141742089 absolute error = 5.551115123125783e-17 relative error = 2.496280959718433e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.121 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.121 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.86 y[1] (analytic) = 0.2242353574311597 y[1] (numeric) = 0.2242353574311598 absolute error = 5.551115123125783e-17 relative error = 2.475575300309174e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.112 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.112 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.85 y[1] (analytic) = 0.2261164499717355 y[1] (numeric) = 0.2261164499717355 absolute error = 2.775557561562891e-17 relative error = 1.227490331601189e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.103 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.103 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.84 y[1] (analytic) = 0.2280189711784021 y[1] (numeric) = 0.2280189711784021 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.094 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.094 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.83 y[1] (analytic) = 0.229943204028605 y[1] (numeric) = 0.229943204028605 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.085 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.085 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.82 y[1] (analytic) = 0.2318894351173361 y[1] (numeric) = 0.2318894351173361 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.077 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.077 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.81 y[1] (analytic) = 0.2338579546783284 y[1] (numeric) = 0.2338579546783284 absolute error = 2.775557561562891e-17 relative error = 1.186856168899908e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.068 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.068 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.8 y[1] (analytic) = 0.2358490566037736 y[1] (numeric) = 0.2358490566037736 absolute error = 2.775557561562891e-17 relative error = 1.176836406102666e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.059 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.059 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.79 y[1] (analytic) = 0.2378630384624534 y[1] (numeric) = 0.2378630384624534 absolute error = 2.775557561562891e-17 relative error = 1.166872154456655e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.05 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.78 y[1] (analytic) = 0.2399002015161693 y[1] (numeric) = 0.2399002015161693 absolute error = 2.775557561562891e-17 relative error = 1.156963413961875e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.042 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.042 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.77 y[1] (analytic) = 0.2419608507343512 y[1] (numeric) = 0.2419608507343513 absolute error = 2.775557561562891e-17 relative error = 1.147110184618327e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.033 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.033 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.76 y[1] (analytic) = 0.2440452948067161 y[1] (numeric) = 0.2440452948067162 absolute error = 5.551115123125783e-17 relative error = 2.274624932852021e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.024 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.024 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.75 y[1] (analytic) = 0.2461538461538462 y[1] (numeric) = 0.2461538461538462 absolute error = 2.775557561562891e-17 relative error = 1.127570259384924e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.016 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.016 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.74 y[1] (analytic) = 0.2482868209355448 y[1] (numeric) = 0.2482868209355448 absolute error = 2.775557561562891e-17 relative error = 1.11788356349507e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 2.007 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.007 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.73 y[1] (analytic) = 0.2504445390568259 y[1] (numeric) = 0.2504445390568259 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.998 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.998 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.72 y[1] (analytic) = 0.2526273241713825 y[1] (numeric) = 0.2526273241713824 absolute error = 5.551115123125783e-17 relative error = 2.197353410338109e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.99 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.71 y[1] (analytic) = 0.2548355036823731 y[1] (numeric) = 0.2548355036823731 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.981 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.981 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.7 y[1] (analytic) = 0.2570694087403599 y[1] (numeric) = 0.2570694087403599 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.972 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.972 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.69 y[1] (analytic) = 0.25932937423822 y[1] (numeric) = 0.25932937423822 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.964 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.964 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.68 y[1] (analytic) = 0.2616157388028464 y[1] (numeric) = 0.2616157388028464 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.955 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.955 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.67 y[1] (analytic) = 0.2639288447834465 y[1] (numeric) = 0.2639288447834465 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.947 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.947 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.66 y[1] (analytic) = 0.266269038236234 y[1] (numeric) = 0.266269038236234 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.938 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.938 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.65 y[1] (analytic) = 0.2686366689053057 y[1] (numeric) = 0.2686366689053057 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.929 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.929 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.64 y[1] (analytic) = 0.2710320901994797 y[1] (numeric) = 0.2710320901994797 absolute error = 5.551115123125783e-17 relative error = 2.048139435828488e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.921 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.921 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.63 y[1] (analytic) = 0.2734556591648665 y[1] (numeric) = 0.2734556591648665 absolute error = 5.551115123125783e-17 relative error = 2.029987289375867e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.912 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.912 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.62 y[1] (analytic) = 0.2759077364529303 y[1] (numeric) = 0.2759077364529303 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.904 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.904 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.61 y[1] (analytic) = 0.2783886862837895 y[1] (numeric) = 0.2783886862837895 absolute error = 5.551115123125783e-17 relative error = 1.994016063378012e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.895 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.895 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.6 y[1] (analytic) = 0.2808988764044945 y[1] (numeric) = 0.2808988764044945 absolute error = 5.551115123125783e-17 relative error = 1.976196983832778e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.887 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.887 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.59 y[1] (analytic) = 0.2834386780420057 y[1] (numeric) = 0.2834386780420057 absolute error = 5.551115123125783e-17 relative error = 1.958488926590007e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.878 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.878 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.58 y[1] (analytic) = 0.2860084658505893 y[1] (numeric) = 0.2860084658505893 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.87 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.57 y[1] (analytic) = 0.2886086178533292 y[1] (numeric) = 0.2886086178533293 absolute error = 5.551115123125783e-17 relative error = 1.923405879011852e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.861 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.861 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.56 y[1] (analytic) = 0.2912395153774465 y[1] (numeric) = 0.2912395153774466 absolute error = 5.551115123125783e-17 relative error = 1.906030888676468e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.853 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.853 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.55 y[1] (analytic) = 0.2939015429831007 y[1] (numeric) = 0.2939015429831008 absolute error = 1.110223024625157e-16 relative error = 3.777533841287094e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.845 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.845 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.54 y[1] (analytic) = 0.2965950883853364 y[1] (numeric) = 0.2965950883853365 absolute error = 5.551115123125783e-17 relative error = 1.871613974913088e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.836 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.836 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.53 y[1] (analytic) = 0.2993205423688229 y[1] (numeric) = 0.2993205423688229 absolute error = 5.551115123125783e-17 relative error = 1.854572051485092e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.828 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.828 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.52 y[1] (analytic) = 0.3020782986950219 y[1] (numeric) = 0.3020782986950219 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.819 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.819 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.51 y[1] (analytic) = 0.3048687540014025 y[1] (numeric) = 0.3048687540014026 absolute error = 5.551115123125783e-17 relative error = 1.820821271536487e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.811 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.811 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.5 y[1] (analytic) = 0.3076923076923078 y[1] (numeric) = 0.3076923076923079 absolute error = 5.551115123125783e-17 relative error = 1.804112415015879e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.803 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.803 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.49 y[1] (analytic) = 0.3105493618210616 y[1] (numeric) = 0.3105493618210616 absolute error = 5.551115123125783e-17 relative error = 1.787514580797733e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.794 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.794 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.48 y[1] (analytic) = 0.3134403209628888 y[1] (numeric) = 0.3134403209628888 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.786 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.786 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.47 y[1] (analytic) = 0.3163655920782057 y[1] (numeric) = 0.3163655920782057 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.778 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.778 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.46 y[1] (analytic) = 0.3193255843658195 y[1] (numeric) = 0.3193255843658196 absolute error = 5.551115123125783e-17 relative error = 1.738387211958069e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.77 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.45 y[1] (analytic) = 0.3223207091055602 y[1] (numeric) = 0.3223207091055602 absolute error = 5.551115123125783e-17 relative error = 1.722233466949773e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.761 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.761 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.44 y[1] (analytic) = 0.3253513794898492 y[1] (numeric) = 0.3253513794898492 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.753 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.753 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.429999999999999 y[1] (analytic) = 0.3284180104436929 y[1] (numeric) = 0.3284180104436929 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.745 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.745 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.419999999999999 y[1] (analytic) = 0.3315210184325688 y[1] (numeric) = 0.3315210184325688 absolute error = 5.551115123125783e-17 relative error = 1.67443836573966e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.737 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.737 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.409999999999999 y[1] (analytic) = 0.3346608212576556 y[1] (numeric) = 0.3346608212576556 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.729 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.729 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.399999999999999 y[1] (analytic) = 0.3378378378378381 y[1] (numeric) = 0.3378378378378381 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.72 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.389999999999999 y[1] (analytic) = 0.3410524879779 y[1] (numeric) = 0.3410524879779 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.712 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.712 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.379999999999999 y[1] (analytic) = 0.3443051921222974 y[1] (numeric) = 0.3443051921222974 absolute error = 5.551115123125783e-17 relative error = 1.612265876360651e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.704 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.704 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.369999999999999 y[1] (analytic) = 0.347596371093886 y[1] (numeric) = 0.347596371093886 absolute error = 5.551115123125783e-17 relative error = 1.597000309772055e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.696 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.696 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.359999999999999 y[1] (analytic) = 0.350926445816957 y[1] (numeric) = 0.350926445816957 absolute error = 5.551115123125783e-17 relative error = 1.581845765485922e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.688 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.688 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.349999999999999 y[1] (analytic) = 0.3542958370239151 y[1] (numeric) = 0.3542958370239153 absolute error = 1.110223024625157e-16 relative error = 3.133604487004502e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.68 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.339999999999999 y[1] (analytic) = 0.3577049649449136 y[1] (numeric) = 0.3577049649449137 absolute error = 1.110223024625157e-16 relative error = 3.103739487642086e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.672 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.672 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.329999999999999 y[1] (analytic) = 0.3611542489797394 y[1] (numeric) = 0.3611542489797395 absolute error = 1.110223024625157e-16 relative error = 3.074096532884595e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.664 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.664 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.319999999999999 y[1] (analytic) = 0.3646441073512254 y[1] (numeric) = 0.3646441073512255 absolute error = 5.551115123125783e-17 relative error = 1.522337811366014e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.656 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.656 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.309999999999999 y[1] (analytic) = 0.3681749567394428 y[1] (numeric) = 0.3681749567394429 absolute error = 5.551115123125783e-17 relative error = 1.507738378592193e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.648 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.648 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.299999999999999 y[1] (analytic) = 0.371747211895911 y[1] (numeric) = 0.3717472118959111 absolute error = 1.110223024625157e-16 relative error = 2.986499936241669e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.64 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.289999999999999 y[1] (analytic) = 0.3753612852370409 y[1] (numeric) = 0.375361285237041 absolute error = 1.110223024625157e-16 relative error = 2.957745159903878e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.632 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.632 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.279999999999999 y[1] (analytic) = 0.37901758641601 y[1] (numeric) = 0.37901758641601 absolute error = 5.551115123125783e-17 relative error = 1.464606214085505e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.624 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.624 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.269999999999999 y[1] (analytic) = 0.3827165218722495 y[1] (numeric) = 0.3827165218722495 absolute error = 5.551115123125783e-17 relative error = 1.450450870521535e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.616 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.616 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.259999999999999 y[1] (analytic) = 0.3864584943577062 y[1] (numeric) = 0.3864584943577063 absolute error = 5.551115123125783e-17 relative error = 1.436406549260027e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.609 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.609 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.249999999999999 y[1] (analytic) = 0.3902439024390247 y[1] (numeric) = 0.3902439024390247 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.601 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.601 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.239999999999999 y[1] (analytic) = 0.3940731399747796 y[1] (numeric) = 0.3940731399747796 absolute error = 5.551115123125783e-17 relative error = 1.408650973644398e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.593 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.593 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.229999999999999 y[1] (analytic) = 0.3979465955668752 y[1] (numeric) = 0.3979465955668752 absolute error = 5.551115123125783e-17 relative error = 1.394939719290277e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.585 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.585 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.219999999999999 y[1] (analytic) = 0.4018646519852116 y[1] (numeric) = 0.4018646519852117 absolute error = 1.110223024625157e-16 relative error = 2.762678974477238e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.577 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.577 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.209999999999999 y[1] (analytic) = 0.4058276855647095 y[1] (numeric) = 0.4058276855647096 absolute error = 5.551115123125783e-17 relative error = 1.367850277489423e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.57 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.199999999999999 y[1] (analytic) = 0.4098360655737707 y[1] (numeric) = 0.4098360655737708 absolute error = 1.110223024625157e-16 relative error = 2.70894418008538e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.562 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.562 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.189999999999999 y[1] (analytic) = 0.4138901535532473 y[1] (numeric) = 0.4138901535532473 absolute error = 5.551115123125783e-17 relative error = 1.341204924898419e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.554 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.554 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.179999999999999 y[1] (analytic) = 0.4179903026249794 y[1] (numeric) = 0.4179903026249794 absolute error = 5.551115123125783e-17 relative error = 1.328048782056611e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.547 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.547 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.169999999999999 y[1] (analytic) = 0.4221368567689648 y[1] (numeric) = 0.4221368567689648 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.539 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.539 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.159999999999999 y[1] (analytic) = 0.4263301500682131 y[1] (numeric) = 0.4263301500682132 absolute error = 5.551115123125783e-17 relative error = 1.302069563280383e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.532 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.532 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.149999999999999 y[1] (analytic) = 0.4305705059203448 y[1] (numeric) = 0.4305705059203448 absolute error = 5.551115123125783e-17 relative error = 1.289246487345962e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.524 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.524 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.139999999999999 y[1] (analytic) = 0.4348582362149943 y[1] (numeric) = 0.4348582362149943 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.516 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.516 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.129999999999999 y[1] (analytic) = 0.4391936404760863 y[1] (numeric) = 0.4391936404760863 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.509 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.509 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.119999999999999 y[1] (analytic) = 0.4435770049680628 y[1] (numeric) = 0.4435770049680628 absolute error = 5.551115123125783e-17 relative error = 1.251443393357475e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.501 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.501 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.109999999999999 y[1] (analytic) = 0.4480086017651543 y[1] (numeric) = 0.4480086017651543 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.494 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.494 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.099999999999999 y[1] (analytic) = 0.4524886877828058 y[1] (numeric) = 0.4524886877828058 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.487 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.487 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.089999999999999 y[1] (analytic) = 0.4570175037703948 y[1] (numeric) = 0.4570175037703948 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.479 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.479 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.079999999999999 y[1] (analytic) = 0.4615952732644021 y[1] (numeric) = 0.4615952732644021 absolute error = 5.551115123125783e-17 relative error = 1.202593580273969e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.472 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.472 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.069999999999999 y[1] (analytic) = 0.4662222015012359 y[1] (numeric) = 0.4662222015012358 absolute error = 1.110223024625157e-16 relative error = 2.381317365518496e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.465 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.465 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.059999999999999 y[1] (analytic) = 0.4708984742889438 y[1] (numeric) = 0.4708984742889437 absolute error = 1.110223024625157e-16 relative error = 2.35766961509398e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.457 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.457 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.049999999999999 y[1] (analytic) = 0.4756242568370991 y[1] (numeric) = 0.4756242568370991 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.45 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.039999999999999 y[1] (analytic) = 0.4803996925441972 y[1] (numeric) = 0.4803996925441972 absolute error = 5.551115123125783e-17 relative error = 1.155520124029862e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.443 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.443 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.029999999999999 y[1] (analytic) = 0.4852249017419578 y[1] (numeric) = 0.4852249017419578 absolute error = 5.551115123125783e-17 relative error = 1.144029315724992e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.436 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.436 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.019999999999999 y[1] (analytic) = 0.4900999803960012 y[1] (numeric) = 0.4900999803960012 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.428 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.428 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -1.009999999999999 y[1] (analytic) = 0.4950249987624379 y[1] (numeric) = 0.4950249987624379 absolute error = 5.551115123125783e-17 relative error = 1.121380766022639e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.421 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.421 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.9999999999999991 y[1] (analytic) = 0.5000000000000004 y[1] (numeric) = 0.5000000000000004 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.414 Order of pole (given) = 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] = -0.9899999999999991 y[1] (analytic) = 0.505024998737438 y[1] (numeric) = 0.505024998737438 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.407 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.407 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.9799999999999991 y[1] (analytic) = 0.5100999795960013 y[1] (numeric) = 0.5100999795960013 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.4 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.9699999999999991 y[1] (analytic) = 0.5152248956669591 y[1] (numeric) = 0.5152248956669591 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.393 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.393 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.9599999999999991 y[1] (analytic) = 0.5203996669442137 y[1] (numeric) = 0.5203996669442136 absolute error = 1.110223024625157e-16 relative error = 2.133404564119699e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.386 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.386 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.9499999999999991 y[1] (analytic) = 0.5256241787122213 y[1] (numeric) = 0.5256241787122212 absolute error = 1.110223024625157e-16 relative error = 2.112199304349358e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.379 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.379 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.9399999999999991 y[1] (analytic) = 0.5308982798895737 y[1] (numeric) = 0.5308982798895736 absolute error = 1.110223024625157e-16 relative error = 2.091216089183942e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.372 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.372 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.929999999999999 y[1] (analytic) = 0.5362217813287581 y[1] (numeric) = 0.5362217813287581 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.366 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.366 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.919999999999999 y[1] (analytic) = 0.5415944540727908 y[1] (numeric) = 0.5415944540727908 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.359 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.359 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.909999999999999 y[1] (analytic) = 0.5470160275696083 y[1] (numeric) = 0.5470160275696083 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.352 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.352 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.899999999999999 y[1] (analytic) = 0.5524861878453043 y[1] (numeric) = 0.5524861878453045 absolute error = 1.110223024625157e-16 relative error = 2.009503674571532e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.345 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.345 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.889999999999999 y[1] (analytic) = 0.5580045756375208 y[1] (numeric) = 0.5580045756375208 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.339 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.339 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.879999999999999 y[1] (analytic) = 0.5635707844905326 y[1] (numeric) = 0.5635707844905326 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.332 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.332 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.869999999999999 y[1] (analytic) = 0.5691843588138205 y[1] (numeric) = 0.5691843588138203 absolute error = 1.110223024625157e-16 relative error = 1.950550831963935e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.325 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.325 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.859999999999999 y[1] (analytic) = 0.5748447919061859 y[1] (numeric) = 0.5748447919061859 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.319 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.319 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.849999999999999 y[1] (analytic) = 0.5805515239477509 y[1] (numeric) = 0.5805515239477509 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.312 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.312 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.839999999999999 y[1] (analytic) = 0.5863039399624772 y[1] (numeric) = 0.5863039399624771 absolute error = 1.110223024625157e-16 relative error = 1.893596390800665e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.306 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.306 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.829999999999999 y[1] (analytic) = 0.5921013677541601 y[1] (numeric) = 0.5921013677541601 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.3 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.819999999999999 y[1] (analytic) = 0.5979430758191826 y[1] (numeric) = 0.5979430758191826 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.293 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.293 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.8099999999999989 y[1] (analytic) = 0.6038282712396601 y[1] (numeric) = 0.60382827123966 absolute error = 1.110223024625157e-16 relative error = 1.83864035108172e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.287 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.287 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7999999999999989 y[1] (analytic) = 0.6097560975609763 y[1] (numeric) = 0.6097560975609762 absolute error = 1.110223024625157e-16 relative error = 1.820765760385255e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.281 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.281 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7899999999999989 y[1] (analytic) = 0.6157256326580882 y[1] (numeric) = 0.6157256326580881 absolute error = 1.110223024625157e-16 relative error = 1.803113214293715e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.274 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.274 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7799999999999989 y[1] (analytic) = 0.6217358865953749 y[1] (numeric) = 0.6217358865953748 absolute error = 1.110223024625157e-16 relative error = 1.7856827128071e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.268 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.268 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7699999999999989 y[1] (analytic) = 0.6277857994852163 y[1] (numeric) = 0.6277857994852162 absolute error = 1.110223024625157e-16 relative error = 1.76847425592541e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.262 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.262 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7599999999999989 y[1] (analytic) = 0.6338742393509135 y[1] (numeric) = 0.6338742393509134 absolute error = 1.110223024625157e-16 relative error = 1.751487843648645e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.256 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.256 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7499999999999989 y[1] (analytic) = 0.6400000000000007 y[1] (numeric) = 0.6400000000000006 absolute error = 1.110223024625157e-16 relative error = 1.734723475976805e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.25 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7399999999999989 y[1] (analytic) = 0.6461617989144489 y[1] (numeric) = 0.6461617989144488 absolute error = 1.110223024625157e-16 relative error = 1.71818115290989e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.244 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.244 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7299999999999989 y[1] (analytic) = 0.6523582751647211 y[1] (numeric) = 0.6523582751647211 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.238 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.238 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7199999999999989 y[1] (analytic) = 0.6585879873551114 y[1] (numeric) = 0.6585879873551113 absolute error = 1.110223024625157e-16 relative error = 1.685762640590836e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.232 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.232 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.7099999999999989 y[1] (analytic) = 0.6648494116082714 y[1] (numeric) = 0.6648494116082714 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.226 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.226 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6999999999999988 y[1] (analytic) = 0.6711409395973161 y[1] (numeric) = 0.6711409395973161 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.221 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.221 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6899999999999988 y[1] (analytic) = 0.677460876634375 y[1] (numeric) = 0.677460876634375 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.215 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.215 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999988 y[1] (analytic) = 0.6838074398249461 y[1] (numeric) = 0.683807439824946 absolute error = 1.110223024625157e-16 relative error = 1.623590151211827e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.209 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.209 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6699999999999988 y[1] (analytic) = 0.6901787562978819 y[1] (numeric) = 0.6901787562978818 absolute error = 1.110223024625157e-16 relative error = 1.608602140379388e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.204 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.204 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6599999999999988 y[1] (analytic) = 0.6965728615213159 y[1] (numeric) = 0.6965728615213158 absolute error = 1.110223024625157e-16 relative error = 1.593836174151873e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.198 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.198 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6499999999999988 y[1] (analytic) = 0.7029876977152907 y[1] (numeric) = 0.7029876977152907 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.193 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.193 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6399999999999988 y[1] (analytic) = 0.709421112372305 y[1] (numeric) = 0.7094211123723049 absolute error = 1.110223024625157e-16 relative error = 1.564970375511619e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.187 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.187 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6299999999999988 y[1] (analytic) = 0.7158708568974165 y[1] (numeric) = 0.7158708568974164 absolute error = 1.110223024625157e-16 relative error = 1.55087054309888e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.182 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.182 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6199999999999988 y[1] (analytic) = 0.7223345853799488 y[1] (numeric) = 0.7223345853799487 absolute error = 1.110223024625157e-16 relative error = 1.536992755291065e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.177 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.177 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.6099999999999988 y[1] (analytic) = 0.7288098535092202 y[1] (numeric) = 0.7288098535092201 absolute error = 1.110223024625157e-16 relative error = 1.523337012088176e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.171 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.171 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999988 y[1] (analytic) = 0.7352941176470597 y[1] (numeric) = 0.7352941176470595 absolute error = 1.110223024625157e-16 relative error = 1.509903313490211e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.166 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.166 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5899999999999987 y[1] (analytic) = 0.7417847340701736 y[1] (numeric) = 0.7417847340701735 absolute error = 1.110223024625157e-16 relative error = 1.496691659497172e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.161 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.161 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5799999999999987 y[1] (analytic) = 0.7482789583956908 y[1] (numeric) = 0.7482789583956906 absolute error = 2.220446049250313e-16 relative error = 2.967404100218115e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.156 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.156 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5699999999999987 y[1] (analytic) = 0.7547739452034123 y[1] (numeric) = 0.7547739452034122 absolute error = 1.110223024625157e-16 relative error = 1.470934485325868e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.151 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.151 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5599999999999987 y[1] (analytic) = 0.7612667478684539 y[1] (numeric) = 0.7612667478684537 absolute error = 2.220446049250313e-16 relative error = 2.916777930295208e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.146 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.146 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999987 y[1] (analytic) = 0.767754318618043 y[1] (numeric) = 0.7677543186180429 absolute error = 1.110223024625157e-16 relative error = 1.446065489574265e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.141 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.141 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5399999999999987 y[1] (analytic) = 0.7742335088262629 y[1] (numeric) = 0.7742335088262626 absolute error = 2.220446049250313e-16 relative error = 2.867928117211701e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.136 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.136 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5299999999999987 y[1] (analytic) = 0.7807010695604661 y[1] (numeric) = 0.7807010695604659 absolute error = 2.220446049250313e-16 relative error = 2.844169344484723e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.132 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.132 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5199999999999987 y[1] (analytic) = 0.787153652392948 y[1] (numeric) = 0.7871536523929478 absolute error = 2.220446049250313e-16 relative error = 2.820854660967595e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.127 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.127 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.5099999999999987 y[1] (analytic) = 0.7935878104912317 y[1] (numeric) = 0.7935878104912315 absolute error = 2.220446049250313e-16 relative error = 2.797984066660316e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.123 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.123 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4999999999999987 y[1] (analytic) = 0.8000000000000008 y[1] (numeric) = 0.8000000000000006 absolute error = 2.220446049250313e-16 relative error = 2.775557561562889e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.118 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.118 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4899999999999987 y[1] (analytic) = 0.8063865817272809 y[1] (numeric) = 0.8063865817272806 absolute error = 3.33066907387547e-16 relative error = 4.130362718512965e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.114 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.114 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4799999999999986 y[1] (analytic) = 0.812743823146945 y[1] (numeric) = 0.8127438231469446 absolute error = 4.440892098500626e-16 relative error = 5.464073637995164e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.109 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.109 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4699999999999986 y[1] (analytic) = 0.8190679007289713 y[1] (numeric) = 0.819067900728971 absolute error = 3.33066907387547e-16 relative error = 4.066413872294557e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.105 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.105 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4599999999999986 y[1] (analytic) = 0.8253549026081224 y[1] (numeric) = 0.8253549026081221 absolute error = 3.33066907387547e-16 relative error = 4.035438649907515e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.101 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.101 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4499999999999986 y[1] (analytic) = 0.8316008316008324 y[1] (numeric) = 0.8316008316008322 absolute error = 2.220446049250313e-16 relative error = 2.670086374223499e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.097 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.097 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999986 y[1] (analytic) = 0.8378016085790894 y[1] (numeric) = 0.837801608579089 absolute error = 3.33066907387547e-16 relative error = 3.975486606577757e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.093 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.093 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999986 y[1] (analytic) = 0.8439530762089636 y[1] (numeric) = 0.8439530762089633 absolute error = 3.33066907387547e-16 relative error = 3.94650978563504e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.089 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.089 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999986 y[1] (analytic) = 0.8500510030601844 y[1] (numeric) = 0.8500510030601841 absolute error = 3.33066907387547e-16 relative error = 3.918199098507099e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.085 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.085 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.4099999999999986 y[1] (analytic) = 0.8560910880917738 y[1] (numeric) = 0.8560910880917735 absolute error = 3.33066907387547e-16 relative error = 3.890554545193932e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.081 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.081 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999986 y[1] (analytic) = 0.8620689655172422 y[1] (numeric) = 0.8620689655172419 absolute error = 3.33066907387547e-16 relative error = 3.863576125695541e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.077 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.077 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999986 y[1] (analytic) = 0.8679802100512117 y[1] (numeric) = 0.8679802100512113 absolute error = 4.440892098500626e-16 relative error = 5.116351786682566e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.073 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.073 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3799999999999986 y[1] (analytic) = 0.873820342537575 y[1] (numeric) = 0.8738203425375747 absolute error = 3.33066907387547e-16 relative error = 3.811617688143084e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.07 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3699999999999986 y[1] (analytic) = 0.879584835957429 y[1] (numeric) = 0.8795848359574285 absolute error = 4.440892098500626e-16 relative error = 5.048850226785357e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.066 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.066 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999985 y[1] (analytic) = 0.8852691218130319 y[1] (numeric) = 0.8852691218130316 absolute error = 2.220446049250313e-16 relative error = 2.508215857233152e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.063 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.063 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999985 y[1] (analytic) = 0.8908685968819607 y[1] (numeric) = 0.8908685968819604 absolute error = 3.33066907387547e-16 relative error = 3.738676035425211e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.059 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.059 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3399999999999985 y[1] (analytic) = 0.8963786303334537 y[1] (numeric) = 0.8963786303334533 absolute error = 3.33066907387547e-16 relative error = 3.715694418815471e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.056 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.056 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3299999999999985 y[1] (analytic) = 0.9017945711966822 y[1] (numeric) = 0.9017945711966818 absolute error = 3.33066907387547e-16 relative error = 3.693378936020505e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.053 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.053 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3199999999999985 y[1] (analytic) = 0.9071117561683608 y[1] (numeric) = 0.9071117561683604 absolute error = 4.440892098500626e-16 relative error = 4.895639449387086e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.05 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.3099999999999985 y[1] (analytic) = 0.9123255177447321 y[1] (numeric) = 0.9123255177447317 absolute error = 4.440892098500626e-16 relative error = 4.867661829166532e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.047 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.047 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2999999999999985 y[1] (analytic) = 0.9174311926605512 y[1] (numeric) = 0.9174311926605508 absolute error = 3.33066907387547e-16 relative error = 3.630429290524259e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.044 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.044 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999985 y[1] (analytic) = 0.9224241306152576 y[1] (numeric) = 0.9224241306152573 absolute error = 3.33066907387547e-16 relative error = 3.610778342988394e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.041 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.041 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999985 y[1] (analytic) = 0.9272997032640957 y[1] (numeric) = 0.9272997032640954 absolute error = 3.33066907387547e-16 relative error = 3.591793529267304e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.038 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.038 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2699999999999985 y[1] (analytic) = 0.9320533134495301 y[1] (numeric) = 0.9320533134495297 absolute error = 4.440892098500626e-16 relative error = 4.764633132481318e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.036 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.036 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2599999999999985 y[1] (analytic) = 0.9366804046459355 y[1] (numeric) = 0.9366804046459352 absolute error = 3.33066907387547e-16 relative error = 3.555822303269449e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.033 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.033 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2499999999999984 y[1] (analytic) = 0.9411764705882361 y[1] (numeric) = 0.9411764705882356 absolute error = 4.440892098500626e-16 relative error = 4.718447854656912e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.031 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.031 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2399999999999984 y[1] (analytic) = 0.9455370650529508 y[1] (numeric) = 0.9455370650529503 absolute error = 4.440892098500626e-16 relative error = 4.696687483374259e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.028 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.028 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2299999999999984 y[1] (analytic) = 0.9497578117580023 y[1] (numeric) = 0.9497578117580019 absolute error = 4.440892098500626e-16 relative error = 4.675815290511306e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.026 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.026 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2199999999999984 y[1] (analytic) = 0.9538344143456702 y[1] (numeric) = 0.9538344143456697 absolute error = 4.440892098500626e-16 relative error = 4.655831276068053e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.024 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.024 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999984 y[1] (analytic) = 0.9577626664112638 y[1] (numeric) = 0.9577626664112634 absolute error = 4.440892098500626e-16 relative error = 4.636735440044501e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.022 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.022 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999984 y[1] (analytic) = 0.9615384615384621 y[1] (numeric) = 0.9615384615384617 absolute error = 4.440892098500626e-16 relative error = 4.618527782440649e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.02 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1899999999999984 y[1] (analytic) = 0.9651578033008403 y[1] (numeric) = 0.9651578033008398 absolute error = 5.551115123125783e-16 relative error = 5.751510379070619e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.018 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.018 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1799999999999984 y[1] (analytic) = 0.9686168151879123 y[1] (numeric) = 0.9686168151879118 absolute error = 5.551115123125783e-16 relative error = 5.730971253115055e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.016 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.016 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1699999999999984 y[1] (analytic) = 0.971911750413063 y[1] (numeric) = 0.9719117504130625 absolute error = 4.440892098500626e-16 relative error = 4.569233880147292e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.014 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.014 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1599999999999984 y[1] (analytic) = 0.975039001560063 y[1] (numeric) = 0.9750390015600624 absolute error = 5.551115123125783e-16 relative error = 5.6932236702778e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.013 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.013 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1499999999999984 y[1] (analytic) = 0.9779951100244504 y[1] (numeric) = 0.9779951100244498 absolute error = 5.551115123125783e-16 relative error = 5.67601521339611e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.011 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.011 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1399999999999983 y[1] (analytic) = 0.9807767752059635 y[1] (numeric) = 0.9807767752059631 absolute error = 4.440892098500626e-16 relative error = 4.527933583631237e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.01 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1299999999999983 y[1] (analytic) = 0.9833808634083986 y[1] (numeric) = 0.983380863408398 absolute error = 5.551115123125783e-16 relative error = 5.644928968706606e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.008 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.008 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999983 y[1] (analytic) = 0.9858044164037859 y[1] (numeric) = 0.9858044164037855 absolute error = 4.440892098500626e-16 relative error = 4.504840944719033e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.007 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.007 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999983 y[1] (analytic) = 0.9880446596186152 y[1] (numeric) = 0.9880446596186148 absolute error = 4.440892098500626e-16 relative error = 4.494626892892482e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.006 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.006 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.09999999999999835 y[1] (analytic) = 0.9900990099009905 y[1] (numeric) = 0.9900990099009901 absolute error = 4.440892098500626e-16 relative error = 4.485301019485631e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.005 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.005 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.08999999999999836 y[1] (analytic) = 0.9919650828290847 y[1] (numeric) = 0.9919650828290844 absolute error = 3.33066907387547e-16 relative error = 3.35764749337386e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.004 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.004 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.07999999999999836 y[1] (analytic) = 0.9936406995230527 y[1] (numeric) = 0.9936406995230523 absolute error = 3.33066907387547e-16 relative error = 3.351985355948272e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.003 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.003 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.06999999999999837 y[1] (analytic) = 0.9951238929246694 y[1] (numeric) = 0.995123892924669 absolute error = 4.440892098500626e-16 relative error = 4.462652469783278e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.002 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.002 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.05999999999999837 y[1] (analytic) = 0.9964129135113593 y[1] (numeric) = 0.996412913511359 absolute error = 3.33066907387547e-16 relative error = 3.342659482541421e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.002 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.002 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.04999999999999837 y[1] (analytic) = 0.9975062344139651 y[1] (numeric) = 0.9975062344139649 absolute error = 2.220446049250313e-16 relative error = 2.225997164373439e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.001 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.001 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.03999999999999836 y[1] (analytic) = 0.9984025559105433 y[1] (numeric) = 0.9984025559105429 absolute error = 3.33066907387547e-16 relative error = 3.33599814439367e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.001 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03367 Order of pole (three term test) = 12.27 Radius of convergence (six term test) for eq 1 = 1.001 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.02999999999999836 y[1] (analytic) = 0.9991008092716556 y[1] (numeric) = 0.9991008092716553 absolute error = 2.220446049250313e-16 relative error = 2.222444450694638e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02729 Order of pole (three term test) = 12.16 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.01999999999999836 y[1] (analytic) = 0.9996001599360256 y[1] (numeric) = 0.9996001599360254 absolute error = 2.220446049250313e-16 relative error = 2.221334227670013e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01919 Order of pole (three term test) = 12.07 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = -0.009999999999998359 y[1] (analytic) = 0.9999000099990001 y[1] (numeric) = 0.9999000099989999 absolute error = 2.220446049250313e-16 relative error = 2.220668093855238e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009898 Order of pole (three term test) = 12.02 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 1.64104840827406e-15 y[1] (analytic) = 1 y[1] (numeric) = 0.9999999999999998 absolute error = 2.220446049250313e-16 relative error = 2.220446049250313e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.641e-15 Order of pole (three term test) = 12 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.01000000000000164 y[1] (analytic) = 0.9999000099990001 y[1] (numeric) = 0.9999000099989999 absolute error = 2.220446049250313e-16 relative error = 2.220668093855238e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009898 Order of pole (three term test) = 12.02 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000164 y[1] (analytic) = 0.9996001599360256 y[1] (numeric) = 0.9996001599360254 absolute error = 2.220446049250313e-16 relative error = 2.221334227670013e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01919 Order of pole (three term test) = 12.07 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.03000000000000164 y[1] (analytic) = 0.9991008092716553 y[1] (numeric) = 0.9991008092716552 absolute error = 1.110223024625157e-16 relative error = 1.111222225347319e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02729 Order of pole (three term test) = 12.16 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000165 y[1] (analytic) = 0.9984025559105431 y[1] (numeric) = 0.9984025559105428 absolute error = 2.220446049250313e-16 relative error = 2.223998762929114e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.001 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03367 Order of pole (three term test) = 12.27 Radius of convergence (six term test) for eq 1 = 1.001 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000165 y[1] (analytic) = 0.9975062344139649 y[1] (numeric) = 0.9975062344139648 absolute error = 1.110223024625157e-16 relative error = 1.11299858218672e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.001 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.001 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000165 y[1] (analytic) = 0.9964129135113589 y[1] (numeric) = 0.9964129135113587 absolute error = 1.110223024625157e-16 relative error = 1.114219827513807e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.002 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.002 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000164 y[1] (analytic) = 0.995123892924669 y[1] (numeric) = 0.9951238929246687 absolute error = 2.220446049250313e-16 relative error = 2.23132623489164e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.002 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.002 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.08000000000000164 y[1] (analytic) = 0.9936406995230522 y[1] (numeric) = 0.993640699523052 absolute error = 2.220446049250313e-16 relative error = 2.234656903965516e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.003 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.003 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.09000000000000163 y[1] (analytic) = 0.9919650828290842 y[1] (numeric) = 0.9919650828290839 absolute error = 3.33066907387547e-16 relative error = 3.357647493373862e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.004 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.004 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1000000000000016 y[1] (analytic) = 0.9900990099009899 y[1] (numeric) = 0.9900990099009895 absolute error = 3.33066907387547e-16 relative error = 3.363975764614225e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.005 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.005 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1100000000000016 y[1] (analytic) = 0.9880446596186143 y[1] (numeric) = 0.9880446596186142 absolute error = 1.110223024625157e-16 relative error = 1.123656723223121e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.006 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.006 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000016 y[1] (analytic) = 0.9858044164037851 y[1] (numeric) = 0.9858044164037849 absolute error = 2.220446049250313e-16 relative error = 2.252420472359518e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.007 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.007 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000016 y[1] (analytic) = 0.9833808634083977 y[1] (numeric) = 0.9833808634083975 absolute error = 2.220446049250313e-16 relative error = 2.257971587482644e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.008 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.008 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000016 y[1] (analytic) = 0.9807767752059626 y[1] (numeric) = 0.9807767752059625 absolute error = 1.110223024625157e-16 relative error = 1.13198339590781e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.01 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000016 y[1] (analytic) = 0.9779951100244495 y[1] (numeric) = 0.9779951100244493 absolute error = 2.220446049250313e-16 relative error = 2.270406085358446e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.011 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.011 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000016 y[1] (analytic) = 0.975039001560062 y[1] (numeric) = 0.9750390015600617 absolute error = 2.220446049250313e-16 relative error = 2.277289468111122e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.013 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.013 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000016 y[1] (analytic) = 0.9719117504130619 y[1] (numeric) = 0.9719117504130618 absolute error = 1.110223024625157e-16 relative error = 1.142308470036824e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.014 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.014 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000017 y[1] (analytic) = 0.9686168151879111 y[1] (numeric) = 0.9686168151879109 absolute error = 2.220446049250313e-16 relative error = 2.292388501246025e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.016 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.016 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000017 y[1] (analytic) = 0.965157803300839 y[1] (numeric) = 0.9651578033008389 absolute error = 1.110223024625157e-16 relative error = 1.150302075814125e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.018 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.018 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000017 y[1] (analytic) = 0.9615384615384609 y[1] (numeric) = 0.9615384615384607 absolute error = 2.220446049250313e-16 relative error = 2.309263891220327e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.02 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000017 y[1] (analytic) = 0.9577626664112626 y[1] (numeric) = 0.9577626664112624 absolute error = 2.220446049250313e-16 relative error = 2.318367720022253e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.022 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.022 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000017 y[1] (analytic) = 0.953834414345669 y[1] (numeric) = 0.9538344143456686 absolute error = 3.33066907387547e-16 relative error = 3.491873457051045e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.024 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.024 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000017 y[1] (analytic) = 0.949757811758001 y[1] (numeric) = 0.9497578117580007 absolute error = 3.33066907387547e-16 relative error = 3.506861467883485e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.026 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.026 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000017 y[1] (analytic) = 0.9455370650529494 y[1] (numeric) = 0.945537065052949 absolute error = 4.440892098500626e-16 relative error = 4.696687483374266e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.028 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.028 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000017 y[1] (analytic) = 0.9411764705882345 y[1] (numeric) = 0.9411764705882342 absolute error = 3.33066907387547e-16 relative error = 3.53883589099269e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.031 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.031 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000017 y[1] (analytic) = 0.9366804046459339 y[1] (numeric) = 0.9366804046459336 absolute error = 3.33066907387547e-16 relative error = 3.555822303269455e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.033 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.033 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000017 y[1] (analytic) = 0.9320533134495286 y[1] (numeric) = 0.9320533134495281 absolute error = 4.440892098500626e-16 relative error = 4.764633132481326e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.036 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.036 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000017 y[1] (analytic) = 0.9272997032640942 y[1] (numeric) = 0.9272997032640937 absolute error = 4.440892098500626e-16 relative error = 4.789058039023079e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.038 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.038 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000018 y[1] (analytic) = 0.9224241306152561 y[1] (numeric) = 0.9224241306152556 absolute error = 4.440892098500626e-16 relative error = 4.814371123984533e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.041 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.041 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000018 y[1] (analytic) = 0.9174311926605496 y[1] (numeric) = 0.9174311926605492 absolute error = 4.440892098500626e-16 relative error = 4.840572387365687e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.044 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.044 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000018 y[1] (analytic) = 0.9123255177447304 y[1] (numeric) = 0.91232551774473 absolute error = 3.33066907387547e-16 relative error = 3.650746371874906e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.047 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.047 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000018 y[1] (analytic) = 0.907111756168359 y[1] (numeric) = 0.9071117561683586 absolute error = 4.440892098500626e-16 relative error = 4.895639449387095e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.05 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000018 y[1] (analytic) = 0.9017945711966805 y[1] (numeric) = 0.9017945711966801 absolute error = 4.440892098500626e-16 relative error = 4.924505248027349e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.053 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.053 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000018 y[1] (analytic) = 0.8963786303334519 y[1] (numeric) = 0.8963786303334514 absolute error = 4.440892098500626e-16 relative error = 4.954259225087304e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.056 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.056 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000018 y[1] (analytic) = 0.890868596881959 y[1] (numeric) = 0.8908685968819585 absolute error = 4.440892098500626e-16 relative error = 4.984901380566958e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.059 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.059 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000018 y[1] (analytic) = 0.8852691218130302 y[1] (numeric) = 0.8852691218130297 absolute error = 4.440892098500626e-16 relative error = 5.016431714466313e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.063 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.063 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000018 y[1] (analytic) = 0.8795848359574271 y[1] (numeric) = 0.8795848359574266 absolute error = 4.440892098500626e-16 relative error = 5.048850226785367e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.066 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.066 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000018 y[1] (analytic) = 0.8738203425375732 y[1] (numeric) = 0.8738203425375728 absolute error = 4.440892098500626e-16 relative error = 5.082156917524123e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.07 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000018 y[1] (analytic) = 0.8679802100512097 y[1] (numeric) = 0.8679802100512093 absolute error = 4.440892098500626e-16 relative error = 5.116351786682578e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.073 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.073 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000019 y[1] (analytic) = 0.8620689655172403 y[1] (numeric) = 0.8620689655172398 absolute error = 5.551115123125783e-16 relative error = 6.439293542825916e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.077 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.077 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000019 y[1] (analytic) = 0.8560910880917719 y[1] (numeric) = 0.8560910880917714 absolute error = 5.551115123125783e-16 relative error = 6.484257575323235e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.081 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.081 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000019 y[1] (analytic) = 0.8500510030601824 y[1] (numeric) = 0.850051003060182 absolute error = 4.440892098500626e-16 relative error = 5.224265464676144e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.085 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.085 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000019 y[1] (analytic) = 0.8439530762089617 y[1] (numeric) = 0.8439530762089612 absolute error = 4.440892098500626e-16 relative error = 5.262013047513399e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.089 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.089 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000019 y[1] (analytic) = 0.8378016085790873 y[1] (numeric) = 0.8378016085790869 absolute error = 3.33066907387547e-16 relative error = 3.975486606577766e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.093 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.093 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000019 y[1] (analytic) = 0.8316008316008304 y[1] (numeric) = 0.8316008316008301 absolute error = 3.33066907387547e-16 relative error = 4.005129561335258e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.097 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.097 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000019 y[1] (analytic) = 0.8253549026081203 y[1] (numeric) = 0.8253549026081199 absolute error = 3.33066907387547e-16 relative error = 4.035438649907525e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.101 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.101 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000019 y[1] (analytic) = 0.8190679007289692 y[1] (numeric) = 0.8190679007289688 absolute error = 3.33066907387547e-16 relative error = 4.066413872294567e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.105 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.105 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000019 y[1] (analytic) = 0.8127438231469428 y[1] (numeric) = 0.8127438231469425 absolute error = 3.33066907387547e-16 relative error = 4.098055228496384e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.109 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.109 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000019 y[1] (analytic) = 0.8063865817272787 y[1] (numeric) = 0.8063865817272785 absolute error = 2.220446049250313e-16 relative error = 2.753575145675318e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.114 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.114 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000019 y[1] (analytic) = 0.7999999999999988 y[1] (numeric) = 0.7999999999999985 absolute error = 3.33066907387547e-16 relative error = 4.163336342344343e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.118 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.118 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000019 y[1] (analytic) = 0.7935878104912296 y[1] (numeric) = 0.7935878104912293 absolute error = 3.33066907387547e-16 relative error = 4.196976099990486e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.123 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.123 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000019 y[1] (analytic) = 0.7871536523929459 y[1] (numeric) = 0.7871536523929455 absolute error = 3.33066907387547e-16 relative error = 4.231281991451403e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.127 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.127 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000019 y[1] (analytic) = 0.780701069560464 y[1] (numeric) = 0.7807010695604637 absolute error = 3.33066907387547e-16 relative error = 4.266254016727096e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.132 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.132 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000019 y[1] (analytic) = 0.7742335088262607 y[1] (numeric) = 0.7742335088262604 absolute error = 3.33066907387547e-16 relative error = 4.301892175817564e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.136 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.136 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000019 y[1] (analytic) = 0.767754318618041 y[1] (numeric) = 0.7677543186180407 absolute error = 3.33066907387547e-16 relative error = 4.338196468722806e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.141 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.141 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000019 y[1] (analytic) = 0.7612667478684519 y[1] (numeric) = 0.7612667478684515 absolute error = 4.440892098500626e-16 relative error = 5.833555860590432e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.146 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.146 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000019 y[1] (analytic) = 0.7547739452034103 y[1] (numeric) = 0.75477394520341 absolute error = 3.33066907387547e-16 relative error = 4.412803455977617e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.151 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.151 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.580000000000002 y[1] (analytic) = 0.7482789583956887 y[1] (numeric) = 0.7482789583956884 absolute error = 3.33066907387547e-16 relative error = 4.451106150327185e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.156 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.156 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.590000000000002 y[1] (analytic) = 0.7417847340701715 y[1] (numeric) = 0.7417847340701713 absolute error = 2.220446049250313e-16 relative error = 2.993383318994352e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.161 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.161 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.600000000000002 y[1] (analytic) = 0.7352941176470575 y[1] (numeric) = 0.7352941176470573 absolute error = 2.220446049250313e-16 relative error = 3.019806626980431e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.166 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.166 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.610000000000002 y[1] (analytic) = 0.7288098535092182 y[1] (numeric) = 0.7288098535092179 absolute error = 3.33066907387547e-16 relative error = 4.570011036264539e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.171 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.171 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.620000000000002 y[1] (analytic) = 0.7223345853799467 y[1] (numeric) = 0.7223345853799464 absolute error = 2.220446049250313e-16 relative error = 3.073985510582139e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.177 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.177 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.630000000000002 y[1] (analytic) = 0.7158708568974145 y[1] (numeric) = 0.7158708568974141 absolute error = 3.33066907387547e-16 relative error = 4.652611629296652e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.182 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.182 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.640000000000002 y[1] (analytic) = 0.7094211123723029 y[1] (numeric) = 0.7094211123723027 absolute error = 2.220446049250313e-16 relative error = 3.129940751023247e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.187 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.187 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.650000000000002 y[1] (analytic) = 0.7029876977152887 y[1] (numeric) = 0.7029876977152885 absolute error = 2.220446049250313e-16 relative error = 3.158584505058576e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.193 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.193 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.660000000000002 y[1] (analytic) = 0.6965728615213138 y[1] (numeric) = 0.6965728615213136 absolute error = 2.220446049250313e-16 relative error = 3.187672348303755e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.198 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.198 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.670000000000002 y[1] (analytic) = 0.6901787562978798 y[1] (numeric) = 0.6901787562978796 absolute error = 2.220446049250313e-16 relative error = 3.217204280758785e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.204 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.204 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.680000000000002 y[1] (analytic) = 0.683807439824944 y[1] (numeric) = 0.6838074398249437 absolute error = 2.220446049250313e-16 relative error = 3.247180302423664e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.209 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.209 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000021 y[1] (analytic) = 0.677460876634373 y[1] (numeric) = 0.6774608766343728 absolute error = 2.220446049250313e-16 relative error = 3.277600413298394e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.215 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.215 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000021 y[1] (analytic) = 0.6711409395973141 y[1] (numeric) = 0.6711409395973139 absolute error = 2.220446049250313e-16 relative error = 3.308464613382973e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.221 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.221 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000021 y[1] (analytic) = 0.6648494116082695 y[1] (numeric) = 0.6648494116082692 absolute error = 3.33066907387547e-16 relative error = 5.009659354016103e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.226 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.226 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000021 y[1] (analytic) = 0.6585879873551094 y[1] (numeric) = 0.658587987355109 absolute error = 3.33066907387547e-16 relative error = 5.057287921772523e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.232 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.232 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000021 y[1] (analytic) = 0.6523582751647192 y[1] (numeric) = 0.6523582751647189 absolute error = 3.33066907387547e-16 relative error = 5.105582623343717e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.238 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.238 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000021 y[1] (analytic) = 0.6461617989144468 y[1] (numeric) = 0.6461617989144466 absolute error = 2.220446049250313e-16 relative error = 3.436362305819792e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.244 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.244 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000021 y[1] (analytic) = 0.6399999999999987 y[1] (numeric) = 0.6399999999999985 absolute error = 2.220446049250313e-16 relative error = 3.469446951953621e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.25 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000021 y[1] (analytic) = 0.6338742393509115 y[1] (numeric) = 0.6338742393509113 absolute error = 2.220446049250313e-16 relative error = 3.502975687297301e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.256 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.256 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000021 y[1] (analytic) = 0.6277857994852143 y[1] (numeric) = 0.6277857994852141 absolute error = 2.220446049250313e-16 relative error = 3.536948511850831e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.262 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.262 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000021 y[1] (analytic) = 0.6217358865953729 y[1] (numeric) = 0.6217358865953727 absolute error = 2.220446049250313e-16 relative error = 3.571365425614211e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.268 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.268 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000021 y[1] (analytic) = 0.6157256326580862 y[1] (numeric) = 0.615725632658086 absolute error = 2.220446049250313e-16 relative error = 3.606226428587442e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.274 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.274 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000022 y[1] (analytic) = 0.6097560975609744 y[1] (numeric) = 0.609756097560974 absolute error = 3.33066907387547e-16 relative error = 5.462297281155782e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.281 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.281 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000022 y[1] (analytic) = 0.6038282712396582 y[1] (numeric) = 0.6038282712396579 absolute error = 3.33066907387547e-16 relative error = 5.515921053245176e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.287 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.287 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000022 y[1] (analytic) = 0.5979430758191807 y[1] (numeric) = 0.5979430758191805 absolute error = 2.220446049250313e-16 relative error = 3.713473972766231e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.293 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.293 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000022 y[1] (analytic) = 0.5921013677541582 y[1] (numeric) = 0.592101367754158 absolute error = 2.220446049250313e-16 relative error = 3.750111332578862e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.3 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000022 y[1] (analytic) = 0.5863039399624753 y[1] (numeric) = 0.5863039399624751 absolute error = 2.220446049250313e-16 relative error = 3.787192781601342e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.306 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.306 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000022 y[1] (analytic) = 0.5805515239477491 y[1] (numeric) = 0.5805515239477489 absolute error = 2.220446049250313e-16 relative error = 3.824718319833672e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.312 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.312 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000022 y[1] (analytic) = 0.5748447919061841 y[1] (numeric) = 0.5748447919061839 absolute error = 2.220446049250313e-16 relative error = 3.862687947275853e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.319 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.319 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000022 y[1] (analytic) = 0.5691843588138186 y[1] (numeric) = 0.5691843588138183 absolute error = 2.220446049250313e-16 relative error = 3.901101663927883e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.325 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.325 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000022 y[1] (analytic) = 0.5635707844905308 y[1] (numeric) = 0.5635707844905306 absolute error = 2.220446049250313e-16 relative error = 3.939959469789764e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.332 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.332 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000022 y[1] (analytic) = 0.5580045756375189 y[1] (numeric) = 0.5580045756375188 absolute error = 1.110223024625157e-16 relative error = 1.989630682430748e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.339 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.339 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000022 y[1] (analytic) = 0.5524861878453027 y[1] (numeric) = 0.5524861878453025 absolute error = 2.220446049250313e-16 relative error = 4.019007349143076e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.345 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.345 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000023 y[1] (analytic) = 0.5470160275696065 y[1] (numeric) = 0.5470160275696064 absolute error = 1.110223024625157e-16 relative error = 2.029598711317253e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.352 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.352 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000023 y[1] (analytic) = 0.5415944540727891 y[1] (numeric) = 0.5415944540727889 absolute error = 1.110223024625157e-16 relative error = 2.049915792667894e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.359 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.359 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000023 y[1] (analytic) = 0.5362217813287563 y[1] (numeric) = 0.5362217813287562 absolute error = 1.110223024625157e-16 relative error = 2.070454918623459e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.366 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.366 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000023 y[1] (analytic) = 0.5308982798895719 y[1] (numeric) = 0.5308982798895718 absolute error = 1.110223024625157e-16 relative error = 2.09121608918395e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.372 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.372 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000023 y[1] (analytic) = 0.5256241787122196 y[1] (numeric) = 0.5256241787122194 absolute error = 1.110223024625157e-16 relative error = 2.112199304349365e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.379 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.379 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000023 y[1] (analytic) = 0.5203996669442119 y[1] (numeric) = 0.5203996669442118 absolute error = 1.110223024625157e-16 relative error = 2.133404564119706e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.386 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.386 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000023 y[1] (analytic) = 0.5152248956669574 y[1] (numeric) = 0.5152248956669573 absolute error = 1.110223024625157e-16 relative error = 2.154831868494971e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.393 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.393 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000023 y[1] (analytic) = 0.5100999795959996 y[1] (numeric) = 0.5100999795959995 absolute error = 1.110223024625157e-16 relative error = 2.176481217475162e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.4 Order of pole (six term test) = 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000023 y[1] (analytic) = 0.5050249987374363 y[1] (numeric) = 0.5050249987374362 absolute error = 1.110223024625157e-16 relative error = 2.198352611060277e-14 % Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 1.407 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.407 Order of pole (six term test) = 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; Iterations = 300 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 30 Minutes 0.0 Seconds Percent Done = 100.3 %