##############ECHO OF PROBLEM################# ##############temp/div_lin_exppostode.ode################# diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x); ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=1.0; // # did poorly with x_start := -5.0; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_display_interval=0.1; glob_max_minutes=10; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(-(0.1 * (5.0 + 2.0*x))/exp(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 4 estimated_steps = 4000000 step_error = 2.5e-17 est_needed_step_err = 2.5e-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 = 4.104876142940109e-183 estimated_step_error = 4.104876142940109e-183 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 = 2.754735694852921e-175 estimated_step_error = 2.754735694852921e-175 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 = 1.848671759505487e-167 estimated_step_error = 1.848671759505487e-167 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 = 1.24062252091008e-159 estimated_step_error = 1.24062252091008e-159 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 = 8.325675514849257e-152 estimated_step_error = 8.325675514849257e-152 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 = 5.587264529269074e-144 estimated_step_error = 5.587264529269074e-144 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 = 3.749547433547788e-136 estimated_step_error = 3.749547433547788e-136 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 = 2.516275572983475e-128 estimated_step_error = 2.516275572983475e-128 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 = 1.688639771524284e-120 estimated_step_error = 1.688639771524284e-120 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 = 1.133221356636569e-112 estimated_step_error = 1.133221356636569e-112 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 = 7.604844480802999e-105 estimated_step_error = 7.604844480802999e-105 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 = 5.103423664037853e-97 estimated_step_error = 5.103423664037853e-97 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 = 3.424713991897243e-89 estimated_step_error = 3.424713991897243e-89 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 = 2.298104604127648e-81 estimated_step_error = 2.298104604127648e-81 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 = 1.541987604445115e-73 estimated_step_error = 1.541987604445115e-73 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 = 1.034482635416864e-65 estimated_step_error = 1.034482635416864e-65 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 = 6.937900774444496e-58 estimated_step_error = 6.937900774444496e-58 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 = 4.650058777641599e-50 estimated_step_error = 4.650058777641599e-50 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = -0.2575156088200096 y[1] (numeric) = -0.2575156088200096 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 274.9 Order of pole (three term test) = -7214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (analytic) = -0.2556817236592094 y[1] (numeric) = -0.2556817236592094 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 275.2 Order of pole (three term test) = -7222 Radius of convergence (six term test) for eq 1 = 379.3 Order of pole (six term test) = 2.164e+04 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = -0.2538588378818472 y[1] (numeric) = -0.2538588378818472 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 275.3 Order of pole (three term test) = -7224 Radius of convergence (six term test) for eq 1 = 240.6 Order of pole (six term test) = 9377 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (analytic) = -0.2520469141618181 y[1] (numeric) = -0.2520469141618181 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 274.8 Order of pole (three term test) = -7211 Radius of convergence (six term test) for eq 1 = 609.8 Order of pole (six term test) = 5.376e+04 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = -0.2502459148268164 y[1] (numeric) = -0.2502459148268164 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 274.7 Order of pole (three term test) = -7210 Radius of convergence (six term test) for eq 1 = 414.3 Order of pole (six term test) = 2.539e+04 TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (analytic) = -0.2484558018689203 y[1] (numeric) = -0.2484558018689203 absolute error = 2.775557561562891e-17 relative error = 1.117123263246319e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 274.2 Order of pole (three term test) = -7197 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = -0.2466765369550009 y[1] (numeric) = -0.2466765369550009 absolute error = 2.775557561562891e-17 relative error = 1.125181014710456e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.9 Order of pole (three term test) = -7189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = -0.2449080814369566 y[1] (numeric) = -0.2449080814369566 absolute error = 2.775557561562891e-17 relative error = 1.133305828569551e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 274.1 Order of pole (three term test) = -7195 Radius of convergence (six term test) for eq 1 = 876.8 Order of pole (six term test) = 1.088e+05 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = -0.2431503963617764 y[1] (numeric) = -0.2431503963617764 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.5 Order of pole (three term test) = -7178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09 y[1] (analytic) = -0.2414034424814346 y[1] (numeric) = -0.2414034424814346 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.7 Order of pole (three term test) = -7183 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = -0.2396671802626173 y[1] (numeric) = -0.2396671802626173 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.4 Order of pole (three term test) = -7177 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = -0.2379415698962865 y[1] (numeric) = -0.2379415698962865 absolute error = 2.775557561562891e-17 relative error = 1.16648703409526e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.9 Order of pole (three term test) = -7188 Radius of convergence (six term test) for eq 1 = 268.2 Order of pole (six term test) = 1.107e+04 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = -0.2362265713070806 y[1] (numeric) = -0.2362265713070806 absolute error = 2.775557561562891e-17 relative error = 1.174955698762114e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.1 Order of pole (three term test) = -7170 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = -0.2345221441625556 y[1] (numeric) = -0.2345221441625557 absolute error = 2.775557561562891e-17 relative error = 1.183494876986565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.3 Order of pole (three term test) = -7174 Radius of convergence (six term test) for eq 1 = 595 Order of pole (six term test) = 4.988e+04 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = -0.2328282478822692 y[1] (numeric) = -0.2328282478822692 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.5 Order of pole (three term test) = -7180 Radius of convergence (six term test) for eq 1 = 221.4 Order of pole (six term test) = 7821 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = -0.2311448416467088 y[1] (numeric) = -0.2311448416467089 absolute error = 2.775557561562891e-17 relative error = 1.200787152241609e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 273.3 Order of pole (three term test) = -7173 Radius of convergence (six term test) for eq 1 = 277.3 Order of pole (six term test) = 1.162e+04 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = -0.2294718844060671 y[1] (numeric) = -0.2294718844060671 absolute error = 2.775557561562891e-17 relative error = 1.20954145155811e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 272.4 Order of pole (three term test) = -7150 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = -0.227809334888866 y[1] (numeric) = -0.227809334888866 absolute error = 2.775557561562891e-17 relative error = 1.218368669096424e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 272.9 Order of pole (three term test) = -7163 Radius of convergence (six term test) for eq 1 = 325.6 Order of pole (six term test) = 1.552e+04 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = -0.2261571516104326 y[1] (numeric) = -0.2261571516104326 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 272.4 Order of pole (three term test) = -7151 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = -0.2245152928812276 y[1] (numeric) = -0.2245152928812276 absolute error = 2.775557561562891e-17 relative error = 1.236244322577709e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 272 Order of pole (three term test) = -7140 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = -0.2228837168150296 y[1] (numeric) = -0.2228837168150296 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 272.1 Order of pole (three term test) = -7143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = -0.2212623813369764 y[1] (numeric) = -0.2212623813369764 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 271.7 Order of pole (three term test) = -7133 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = -0.2196512441914666 y[1] (numeric) = -0.2196512441914666 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 271.9 Order of pole (three term test) = -7140 Radius of convergence (six term test) for eq 1 = 531.7 Order of pole (six term test) = 3.905e+04 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = -0.2180502629499211 y[1] (numeric) = -0.2180502629499211 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 272 Order of pole (three term test) = -7142 Radius of convergence (six term test) for eq 1 = 297 Order of pole (six term test) = 1.288e+04 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = -0.2164593950184099 y[1] (numeric) = -0.2164593950184099 absolute error = 2.775557561562891e-17 relative error = 1.282253219513448e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 271.7 Order of pole (three term test) = -7133 Radius of convergence (six term test) for eq 1 = 536.3 Order of pole (six term test) = 3.951e+04 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = -0.2148785976451426 y[1] (numeric) = -0.2148785976451426 absolute error = 2.775557561562891e-17 relative error = 1.291686371737467e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 271.5 Order of pole (three term test) = -7129 Radius of convergence (six term test) for eq 1 = 517.2 Order of pole (six term test) = 3.672e+04 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = -0.2133078279278273 y[1] (numeric) = -0.2133078279278273 absolute error = 2.775557561562891e-17 relative error = 1.301198173796979e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 271.5 Order of pole (three term test) = -7128 Radius of convergence (six term test) for eq 1 = 337.6 Order of pole (six term test) = 1.617e+04 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = -0.2117470428208983 y[1] (numeric) = -0.2117470428208983 absolute error = 2.775557561562891e-17 relative error = 1.310789291121547e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 271.3 Order of pole (three term test) = -7123 Radius of convergence (six term test) for eq 1 = 415.8 Order of pole (six term test) = 2.396e+04 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = -0.2101961991426148 y[1] (numeric) = -0.2101961991426148 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.5 Order of pole (three term test) = -7102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = -0.2086552535820322 y[1] (numeric) = -0.2086552535820323 absolute error = 2.775557561562891e-17 relative error = 1.330212162844818e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.9 Order of pole (three term test) = -7113 Radius of convergence (six term test) for eq 1 = 517.1 Order of pole (six term test) = 3.63e+04 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = -0.2071241627058495 y[1] (numeric) = -0.2071241627058496 absolute error = 2.775557561562891e-17 relative error = 1.340045277819489e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.6 Order of pole (three term test) = -7107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = -0.2056028829651314 y[1] (numeric) = -0.2056028829651314 absolute error = 2.775557561562891e-17 relative error = 1.349960429316356e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.1 Order of pole (three term test) = -7094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = -0.2040913707019097 y[1] (numeric) = -0.2040913707019097 absolute error = 2.775557561562891e-17 relative error = 1.359958312797456e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.8 Order of pole (three term test) = -7111 Radius of convergence (six term test) for eq 1 = 252.8 Order of pole (six term test) = 9371 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = -0.2025895821556651 y[1] (numeric) = -0.2025895821556652 absolute error = 2.775557561562891e-17 relative error = 1.370039629890849e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.4 Order of pole (three term test) = -7100 Radius of convergence (six term test) for eq 1 = 376.4 Order of pole (six term test) = 1.95e+04 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = -0.2010974734696903 y[1] (numeric) = -0.2010974734696904 absolute error = 2.775557561562891e-17 relative error = 1.380205088444946e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270.2 Order of pole (three term test) = -7096 Radius of convergence (six term test) for eq 1 = 487.9 Order of pole (six term test) = 3.203e+04 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = -0.1996150006973364 y[1] (numeric) = -0.1996150006973365 absolute error = 2.775557561562891e-17 relative error = 1.390455402583343e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 270 Order of pole (three term test) = -7090 Radius of convergence (six term test) for eq 1 = 555.1 Order of pole (six term test) = 4.102e+04 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = -0.1981421198081451 y[1] (numeric) = -0.1981421198081451 absolute error = 2.775557561562891e-17 relative error = 1.400791292760155e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.75 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 269.6 Order of pole (three term test) = -7079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = -0.1966787866938674 y[1] (numeric) = -0.1966787866938674 absolute error = 2.775557561562891e-17 relative error = 1.411213485815873e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 269.5 Order of pole (three term test) = -7078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = -0.195224957174371 y[1] (numeric) = -0.195224957174371 absolute error = 2.775557561562891e-17 relative error = 1.421722715033723e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 269.5 Order of pole (three term test) = -7077 Radius of convergence (six term test) for eq 1 = 1311 Order of pole (six term test) = 2.225e+05 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = -0.1937805870034378 y[1] (numeric) = -0.1937805870034378 absolute error = 2.775557561562891e-17 relative error = 1.43231972019656e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 269 Order of pole (three term test) = -7064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = -0.192345631874453 y[1] (numeric) = -0.192345631874453 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 269.2 Order of pole (three term test) = -7070 Radius of convergence (six term test) for eq 1 = 665.8 Order of pole (six term test) = 5.779e+04 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = -0.1909200474259878 y[1] (numeric) = -0.1909200474259878 absolute error = 2.775557561562891e-17 relative error = 1.453780050331732e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268.9 Order of pole (three term test) = -7063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = -0.1895037892472765 y[1] (numeric) = -0.1895037892472766 absolute error = 2.775557561562891e-17 relative error = 1.464644887887264e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268.6 Order of pole (three term test) = -7055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = -0.188096812883591 y[1] (numeric) = -0.1880968128835911 absolute error = 2.775557561562891e-17 relative error = 1.475600526671668e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268.7 Order of pole (three term test) = -7058 Radius of convergence (six term test) for eq 1 = 7045 Order of pole (six term test) = 6.318e+06 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = -0.1866990738415119 y[1] (numeric) = -0.1866990738415119 absolute error = 2.775557561562891e-17 relative error = 1.486647739837773e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268.5 Order of pole (three term test) = -7053 Radius of convergence (six term test) for eq 1 = 1037 Order of pole (six term test) = 1.374e+05 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = -0.1853105275941001 y[1] (numeric) = -0.1853105275941001 absolute error = 2.775557561562891e-17 relative error = 1.497787307390549e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268.2 Order of pole (three term test) = -7045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = -0.1839311295859689 y[1] (numeric) = -0.183931129585969 absolute error = 2.775557561562891e-17 relative error = 1.509020016247768e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268.4 Order of pole (three term test) = -7051 Radius of convergence (six term test) for eq 1 = 407.7 Order of pole (six term test) = 2.193e+04 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = -0.1825608352382587 y[1] (numeric) = -0.1825608352382587 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 267.8 Order of pole (three term test) = -7036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = -0.1811995999535149 y[1] (numeric) = -0.1811995999535149 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.74 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268 Order of pole (three term test) = -7039 Radius of convergence (six term test) for eq 1 = 730.6 Order of pole (six term test) = 6.8e+04 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = -0.1798473791204721 y[1] (numeric) = -0.1798473791204721 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 267.7 Order of pole (three term test) = -7032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = -0.1785041281187438 y[1] (numeric) = -0.1785041281187438 absolute error = 2.775557561562891e-17 relative error = 1.554898248468823e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 268 Order of pole (three term test) = -7040 Radius of convergence (six term test) for eq 1 = 278.9 Order of pole (six term test) = 1.067e+04 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = -0.1771698023234213 y[1] (numeric) = -0.1771698023234212 absolute error = 2.775557561562891e-17 relative error = 1.566608713880114e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 267.5 Order of pole (three term test) = -7028 Radius of convergence (six term test) for eq 1 = 639.9 Order of pole (six term test) = 5.199e+04 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = -0.1758443571095806 y[1] (numeric) = -0.1758443571095806 absolute error = 2.775557561562891e-17 relative error = 1.578417190739451e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 267.3 Order of pole (three term test) = -7023 Radius of convergence (six term test) for eq 1 = 836.3 Order of pole (six term test) = 8.789e+04 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = -0.1745277478567016 y[1] (numeric) = -0.1745277478567016 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 267.2 Order of pole (three term test) = -7021 Radius of convergence (six term test) for eq 1 = 754.6 Order of pole (six term test) = 7.16e+04 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = -0.1732199299529981 y[1] (numeric) = -0.1732199299529981 absolute error = 2.775557561562891e-17 relative error = 1.602331534434875e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 267 Order of pole (three term test) = -7016 Radius of convergence (six term test) for eq 1 = 1092 Order of pole (six term test) = 1.484e+05 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = -0.1719208587996618 y[1] (numeric) = -0.1719208587996618 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266.8 Order of pole (three term test) = -7010 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = -0.1706304898150209 y[1] (numeric) = -0.1706304898150209 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266.3 Order of pole (three term test) = -6997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = -0.1693487784386146 y[1] (numeric) = -0.1693487784386146 absolute error = 2.775557561562891e-17 relative error = 1.638959304668957e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266.3 Order of pole (three term test) = -6997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = -0.1680756801351849 y[1] (numeric) = -0.1680756801351848 absolute error = 2.775557561562891e-17 relative error = 1.65137369031051e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266.2 Order of pole (three term test) = -6995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = -0.1668111503985865 y[1] (numeric) = -0.1668111503985865 absolute error = 2.775557561562891e-17 relative error = 1.663892104892773e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.73 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266.5 Order of pole (three term test) = -7003 Radius of convergence (six term test) for eq 1 = 322.6 Order of pole (six term test) = 1.362e+04 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = -0.1655551447556174 y[1] (numeric) = -0.1655551447556174 absolute error = 2.775557561562891e-17 relative error = 1.676515438804396e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266.2 Order of pole (three term test) = -6996 Radius of convergence (six term test) for eq 1 = 482 Order of pole (six term test) = 2.924e+04 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = -0.1643076187697687 y[1] (numeric) = -0.1643076187697687 absolute error = 2.775557561562891e-17 relative error = 1.689244590326673e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 266 Order of pole (three term test) = -6991 Radius of convergence (six term test) for eq 1 = 540.4 Order of pole (six term test) = 3.642e+04 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = -0.1630685280448984 y[1] (numeric) = -0.1630685280448984 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 265.9 Order of pole (three term test) = -6987 Radius of convergence (six term test) for eq 1 = 761.4 Order of pole (six term test) = 7.128e+04 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = -0.1618378282288271 y[1] (numeric) = -0.1618378282288271 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 265.6 Order of pole (three term test) = -6979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = -0.1606154750168584 y[1] (numeric) = -0.1606154750168584 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 265.4 Order of pole (three term test) = -6975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = -0.1594014241552258 y[1] (numeric) = -0.1594014241552259 absolute error = 2.775557561562891e-17 relative error = 1.741237618341503e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 265.7 Order of pole (three term test) = -6981 Radius of convergence (six term test) for eq 1 = 336.5 Order of pole (six term test) = 1.454e+04 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = -0.158195631444465 y[1] (numeric) = -0.1581956314444651 absolute error = 2.775557561562891e-17 relative error = 1.754509613331047e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 265.2 Order of pole (three term test) = -6970 Radius of convergence (six term test) for eq 1 = 784.7 Order of pole (six term test) = 7.491e+04 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = -0.1569980527427147 y[1] (numeric) = -0.1569980527427148 absolute error = 2.775557561562891e-17 relative error = 1.767892985342576e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264.9 Order of pole (three term test) = -6962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = -0.1558086439689467 y[1] (numeric) = -0.1558086439689467 absolute error = 2.775557561562891e-17 relative error = 1.781388689908675e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 265 Order of pole (three term test) = -6965 Radius of convergence (six term test) for eq 1 = 473.5 Order of pole (six term test) = 2.769e+04 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = -0.1546273611061249 y[1] (numeric) = -0.154627361106125 absolute error = 2.775557561562891e-17 relative error = 1.794997691034739e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264.5 Order of pole (three term test) = -6952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = -0.1534541602042971 y[1] (numeric) = -0.1534541602042971 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264.2 Order of pole (three term test) = -6944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = -0.1522889973836167 y[1] (numeric) = -0.1522889973836168 absolute error = 2.775557561562891e-17 relative error = 1.822559481806324e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264.5 Order of pole (three term test) = -6951 Radius of convergence (six term test) for eq 1 = 770.4 Order of pole (six term test) = 7.141e+04 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = -0.1511318288373002 y[1] (numeric) = -0.1511318288373003 absolute error = 2.775557561562891e-17 relative error = 1.836514242510025e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264.4 Order of pole (three term test) = -6950 Radius of convergence (six term test) for eq 1 = 490.7 Order of pole (six term test) = 2.941e+04 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = -0.1499826108345166 y[1] (numeric) = -0.1499826108345166 absolute error = 2.775557561562891e-17 relative error = 1.850586242044623e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264.2 Order of pole (three term test) = -6943 Radius of convergence (six term test) for eq 1 = 678.6 Order of pole (six term test) = 5.526e+04 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = -0.1488412997232133 y[1] (numeric) = -0.1488412997232133 absolute error = 2.775557561562891e-17 relative error = 1.864776487926634e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264 Order of pole (three term test) = -6939 Radius of convergence (six term test) for eq 1 = 988.5 Order of pole (six term test) = 1.161e+05 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = -0.1477078519328783 y[1] (numeric) = -0.1477078519328783 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 263.7 Order of pole (three term test) = -6932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = -0.146582223977239 y[1] (numeric) = -0.146582223977239 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 264 Order of pole (three term test) = -6938 Radius of convergence (six term test) for eq 1 = 336.9 Order of pole (six term test) = 1.417e+04 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = -0.1454643724568996 y[1] (numeric) = -0.1454643724568996 absolute error = 2.775557561562891e-17 relative error = 1.908066913350399e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 263.4 Order of pole (three term test) = -6924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = -0.1443542540619177 y[1] (numeric) = -0.1443542540619177 absolute error = 2.775557561562891e-17 relative error = 1.922740399719966e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 263.1 Order of pole (three term test) = -6915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = -0.1432518255743209 y[1] (numeric) = -0.1432518255743209 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 263.3 Order of pole (three term test) = -6920 Radius of convergence (six term test) for eq 1 = 593.3 Order of pole (six term test) = 4.183e+04 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = -0.1421570438705644 y[1] (numeric) = -0.1421570438705644 absolute error = 2.775557561562891e-17 relative error = 1.952458693562922e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 263.2 Order of pole (three term test) = -6918 Radius of convergence (six term test) for eq 1 = 507.1 Order of pole (six term test) = 3.073e+04 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = -0.1410698659239308 y[1] (numeric) = -0.1410698659239309 absolute error = 2.775557561562891e-17 relative error = 1.967505635157799e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 262.5 Order of pole (three term test) = -6902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = -0.1399902488068729 y[1] (numeric) = -0.1399902488068729 absolute error = 2.775557561562891e-17 relative error = 1.982679211744228e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.71 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 262.8 Order of pole (three term test) = -6909 Radius of convergence (six term test) for eq 1 = 787.5 Order of pole (six term test) = 7.264e+04 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = -0.1389181496932995 y[1] (numeric) = -0.1389181496932996 absolute error = 2.775557561562891e-17 relative error = 1.997980514202577e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 262.4 Order of pole (three term test) = -6898 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = -0.1378535258608071 y[1] (numeric) = -0.1378535258608071 absolute error = 2.775557561562891e-17 relative error = 2.01341064309477e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 262.1 Order of pole (three term test) = -6891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = -0.136796334692856 y[1] (numeric) = -0.136796334692856 absolute error = 2.775557561562891e-17 relative error = 2.028970708750899e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 262.2 Order of pole (three term test) = -6892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = -0.1357465336808936 y[1] (numeric) = -0.1357465336808936 absolute error = 2.775557561562891e-17 relative error = 2.044661831356621e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 262.3 Order of pole (three term test) = -6896 Radius of convergence (six term test) for eq 1 = 437 Order of pole (six term test) = 2.272e+04 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = -0.1347040804264248 y[1] (numeric) = -0.1347040804264248 absolute error = 5.551115123125783e-17 relative error = 4.120970282082728e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.8 Order of pole (three term test) = -6883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = -0.1336689326430302 y[1] (numeric) = -0.1336689326430303 absolute error = 5.551115123125783e-17 relative error = 4.152883555934664e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.9 Order of pole (three term test) = -6885 Radius of convergence (six term test) for eq 1 = 958.8 Order of pole (six term test) = 1.057e+05 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = -0.1326410481583335 y[1] (numeric) = -0.1326410481583336 absolute error = 5.551115123125783e-17 relative error = 4.185065784838658e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.8 Order of pole (three term test) = -6883 Radius of convergence (six term test) for eq 1 = 516.2 Order of pole (six term test) = 3.116e+04 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = -0.1316203849159188 y[1] (numeric) = -0.1316203849159188 absolute error = 5.551115123125783e-17 relative error = 4.217519289790806e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.3 Order of pole (three term test) = -6871 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = -0.1306069009771978 y[1] (numeric) = -0.1306069009771978 absolute error = 2.775557561562891e-17 relative error = 2.12512320619832e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.2 Order of pole (three term test) = -6868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = -0.1296005545232294 y[1] (numeric) = -0.1296005545232295 absolute error = 5.551115123125783e-17 relative error = 4.283249515055746e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.1 Order of pole (three term test) = -6865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = -0.1286013038564905 y[1] (numeric) = -0.1286013038564906 absolute error = 5.551115123125783e-17 relative error = 4.31653098114807e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 260.9 Order of pole (three term test) = -6861 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000001 y[1] (analytic) = -0.1276091074026001 y[1] (numeric) = -0.1276091074026002 absolute error = 5.551115123125783e-17 relative error = 4.350093215221937e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.7 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 260.8 Order of pole (three term test) = -6858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000001 y[1] (analytic) = -0.126623923711997 y[1] (numeric) = -0.1266239237119971 absolute error = 5.551115123125783e-17 relative error = 4.383938643183777e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 261.1 Order of pole (three term test) = -6865 Radius of convergence (six term test) for eq 1 = 345.2 Order of pole (six term test) = 1.418e+04 TOP MAIN SOLVE Loop x[1] = 1.960000000000001 y[1] (analytic) = -0.1256457114615721 y[1] (numeric) = -0.1256457114615721 absolute error = 8.326672684688674e-17 relative error = 6.627104568734392e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 260.4 Order of pole (three term test) = -6848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000001 y[1] (analytic) = -0.1246744294562555 y[1] (numeric) = -0.1246744294562555 absolute error = 6.938893903907228e-17 relative error = 5.565611115422733e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 260.4 Order of pole (three term test) = -6847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000001 y[1] (analytic) = -0.1237100366305599 y[1] (numeric) = -0.12371003663056 absolute error = 8.326672684688674e-17 relative error = 6.730798010799191e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 260.2 Order of pole (three term test) = -6843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000001 y[1] (analytic) = -0.1227524920500803 y[1] (numeric) = -0.1227524920500804 absolute error = 8.326672684688674e-17 relative error = 6.783302355516801e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 260 Order of pole (three term test) = -6837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = -0.1218017549129514 y[1] (numeric) = -0.1218017549129514 absolute error = 8.326672684688674e-17 relative error = 6.836250176066459e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.9 Order of pole (three term test) = -6835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = -0.120857784551262 y[1] (numeric) = -0.1208577845512621 absolute error = 6.938893903907228e-17 relative error = 5.741371091378963e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.5 Order of pole (three term test) = -6826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = -0.11992054043243 y[1] (numeric) = -0.11992054043243 absolute error = 4.163336342344337e-17 relative error = 3.471745813795924e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.6 Order of pole (three term test) = -6827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = -0.1189899821605347 y[1] (numeric) = -0.1189899821605347 absolute error = 1.387778780781446e-17 relative error = 1.16629883926626e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.6 Order of pole (three term test) = -6828 Radius of convergence (six term test) for eq 1 = 515.4 Order of pole (six term test) = 3.008e+04 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = -0.1180660694776107 y[1] (numeric) = -0.1180660694776107 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.3 Order of pole (three term test) = -6819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = -0.1171487622649019 y[1] (numeric) = -0.1171487622649018 absolute error = 2.775557561562891e-17 relative error = 2.369258972866209e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.69 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.3 Order of pole (three term test) = -6820 Radius of convergence (six term test) for eq 1 = 857.3 Order of pole (six term test) = 8.156e+04 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = -0.1162380205440766 y[1] (numeric) = -0.1162380205440765 absolute error = 4.163336342344337e-17 relative error = 3.58173368993808e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 259.1 Order of pole (three term test) = -6814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999999 y[1] (analytic) = -0.1153338044784055 y[1] (numeric) = -0.1153338044784054 absolute error = 6.938893903907228e-17 relative error = 6.01635742034889e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 258.9 Order of pole (three term test) = -6809 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999999 y[1] (analytic) = -0.1144360743739016 y[1] (numeric) = -0.1144360743739015 absolute error = 9.71445146547012e-17 relative error = 8.488976503798708e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 258.6 Order of pole (three term test) = -6802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = -0.1135447906804236 y[1] (numeric) = -0.1135447906804235 absolute error = 9.71445146547012e-17 relative error = 8.555611761011419e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 258.6 Order of pole (three term test) = -6801 Radius of convergence (six term test) for eq 1 = 1339 Order of pole (six term test) = 1.961e+05 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = -0.1126599139927435 y[1] (numeric) = -0.1126599139927433 absolute error = 1.249000902703301e-16 relative error = 1.10864712961147e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 258.4 Order of pole (three term test) = -6797 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = -0.111781405051578 y[1] (numeric) = -0.1117814050515779 absolute error = 1.387778780781446e-16 relative error = 1.241511305159475e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 258.2 Order of pole (three term test) = -6792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999998 y[1] (analytic) = -0.1109092247445862 y[1] (numeric) = -0.110909224744586 absolute error = 1.665334536937735e-16 relative error = 1.501529327946209e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.9 Order of pole (three term test) = -6785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999998 y[1] (analytic) = -0.1100433341073315 y[1] (numeric) = -0.1100433341073313 absolute error = 1.942890293094024e-16 relative error = 1.765568363458538e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.9 Order of pole (three term test) = -6785 Radius of convergence (six term test) for eq 1 = 1053 Order of pole (six term test) = 1.205e+05 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = -0.1091836943242113 y[1] (numeric) = -0.1091836943242111 absolute error = 2.081668171172169e-16 relative error = 1.90657422251242e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.5 Order of pole (three term test) = -6774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = -0.1083302667293524 y[1] (numeric) = -0.1083302667293521 absolute error = 2.359223927328458e-16 relative error = 2.177806811112761e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.7 Order of pole (three term test) = -6779 Radius of convergence (six term test) for eq 1 = 861.4 Order of pole (six term test) = 8.053e+04 TOP MAIN SOLVE Loop x[1] = 2.159999999999997 y[1] (analytic) = -0.1074830128074745 y[1] (numeric) = -0.1074830128074742 absolute error = 2.498001805406602e-16 relative error = 2.324089863280133e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.7 Order of pole (three term test) = -6780 Radius of convergence (six term test) for eq 1 = 450.4 Order of pole (six term test) = 2.249e+04 TOP MAIN SOLVE Loop x[1] = 2.169999999999997 y[1] (analytic) = -0.1066418941947215 y[1] (numeric) = -0.1066418941947212 absolute error = 2.775557561562891e-16 relative error = 2.602689667622458e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.3 Order of pole (three term test) = -6770 Radius of convergence (six term test) for eq 1 = 2861 Order of pole (six term test) = 8.774e+05 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = -0.1058068726794613 y[1] (numeric) = -0.105806872679461 absolute error = 3.05311331771918e-16 relative error = 2.885552932812307e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257 Order of pole (three term test) = -6761 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = -0.1049779102030547 y[1] (numeric) = -0.1049779102030544 absolute error = 3.191891195797325e-16 relative error = 3.04053604193813e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 256.9 Order of pole (three term test) = -6759 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = -0.1041549688605941 y[1] (numeric) = -0.1041549688605938 absolute error = 3.469446951953614e-16 relative error = 3.331043146484239e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 257.1 Order of pole (three term test) = -6765 Radius of convergence (six term test) for eq 1 = 409.3 Order of pole (six term test) = 1.853e+04 TOP MAIN SOLVE Loop x[1] = 2.209999999999996 y[1] (analytic) = -0.103338010901612 y[1] (numeric) = -0.1033380109016117 absolute error = 3.469446951953614e-16 relative error = 3.357377330648322e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 256.6 Order of pole (three term test) = -6752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999996 y[1] (analytic) = -0.1025269987307606 y[1] (numeric) = -0.1025269987307603 absolute error = 3.608224830031759e-16 relative error = 3.51929235684259e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 256.4 Order of pole (three term test) = -6746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = -0.1017218949084624 y[1] (numeric) = -0.101721894908462 absolute error = 3.885780586188048e-16 relative error = 3.820004129577796e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 256.2 Order of pole (three term test) = -6742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = -0.100922662151532 y[1] (numeric) = -0.1009226621515316 absolute error = 4.024558464266192e-16 relative error = 3.987764867144955e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 256.4 Order of pole (three term test) = -6746 Radius of convergence (six term test) for eq 1 = 741.1 Order of pole (six term test) = 5.864e+04 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = -0.1001292633337715 y[1] (numeric) = -0.1001292633337711 absolute error = 4.163336342344337e-16 relative error = 4.157961622534111e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 256 Order of pole (three term test) = -6738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999995 y[1] (analytic) = -0.09934166148653666 y[1] (numeric) = -0.09934166148653624 absolute error = 4.163336342344337e-16 relative error = 4.1909268277223e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.67 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.9 Order of pole (three term test) = -6734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999995 y[1] (analytic) = -0.09855981979927797 y[1] (numeric) = -0.09855981979927753 absolute error = 4.440892098500626e-16 relative error = 4.505783500360214e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.9 Order of pole (three term test) = -6734 Radius of convergence (six term test) for eq 1 = 702.8 Order of pole (six term test) = 5.249e+04 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = -0.09778370162005422 y[1] (numeric) = -0.09778370162005375 absolute error = 4.718447854656915e-16 relative error = 4.825392960670269e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.6 Order of pole (three term test) = -6727 Radius of convergence (six term test) for eq 1 = 1201 Order of pole (six term test) = 1.515e+05 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = -0.09701327045602071 y[1] (numeric) = -0.09701327045602023 absolute error = 4.718447854656915e-16 relative error = 4.863713832630704e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.3 Order of pole (three term test) = -6719 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999994 y[1] (analytic) = -0.09624848997389202 y[1] (numeric) = -0.09624848997389152 absolute error = 4.996003610813204e-16 relative error = 5.190734537412899e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.6 Order of pole (three term test) = -6727 Radius of convergence (six term test) for eq 1 = 408.6 Order of pole (six term test) = 1.809e+04 TOP MAIN SOLVE Loop x[1] = 2.309999999999994 y[1] (analytic) = -0.09548932400037956 y[1] (numeric) = -0.09548932400037904 absolute error = 5.134781488891349e-16 relative error = 5.37733567877278e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.3 Order of pole (three term test) = -6719 Radius of convergence (six term test) for eq 1 = 660.2 Order of pole (six term test) = 4.599e+04 TOP MAIN SOLVE Loop x[1] = 2.319999999999994 y[1] (analytic) = -0.09473573652260496 y[1] (numeric) = -0.09473573652260443 absolute error = 5.273559366969494e-16 relative error = 5.566599849794977e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 255.2 Order of pole (three term test) = -6717 Radius of convergence (six term test) for eq 1 = 459.9 Order of pole (six term test) = 2.262e+04 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = -0.09398769168848913 y[1] (numeric) = -0.09398769168848857 absolute error = 5.551115123125783e-16 relative error = 5.906214977089005e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 254.8 Order of pole (three term test) = -6706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = -0.09324515380711772 y[1] (numeric) = -0.09324515380711715 absolute error = 5.689893001203927e-16 relative error = 6.102079056005159e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 254.5 Order of pole (three term test) = -6698 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999993 y[1] (analytic) = -0.09250808734908363 y[1] (numeric) = -0.09250808734908303 absolute error = 5.967448757360216e-16 relative error = 6.450731961241148e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 254.7 Order of pole (three term test) = -6704 Radius of convergence (six term test) for eq 1 = 601 Order of pole (six term test) = 3.791e+04 TOP MAIN SOLVE Loop x[1] = 2.359999999999993 y[1] (analytic) = -0.09177645694680638 y[1] (numeric) = -0.09177645694680577 absolute error = 6.106226635438361e-16 relative error = 6.653369326490267e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 254.5 Order of pole (three term test) = -6700 Radius of convergence (six term test) for eq 1 = 672.7 Order of pole (six term test) = 4.725e+04 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = -0.09105022739482946 y[1] (numeric) = -0.09105022739482883 absolute error = 6.245004513516506e-16 relative error = 6.858856580814147e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.66 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 254.3 Order of pole (three term test) = -6694 Radius of convergence (six term test) for eq 1 = 710.2 Order of pole (six term test) = 5.245e+04 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = -0.09032936365009557 y[1] (numeric) = -0.09032936365009492 absolute error = 6.522560269672795e-16 relative error = 7.220863743642562e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 254.1 Order of pole (three term test) = -6689 Radius of convergence (six term test) for eq 1 = 1410 Order of pole (six term test) = 2.044e+05 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = -0.08961383083220027 y[1] (numeric) = -0.08961383083219962 absolute error = 6.522560269672795e-16 relative error = 7.278519631513277e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253.7 Order of pole (three term test) = -6679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999992 y[1] (analytic) = -0.0889035942236248 y[1] (numeric) = -0.08890359422362412 absolute error = 6.800116025829084e-16 relative error = 7.648865138932769e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253.8 Order of pole (three term test) = -6680 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999992 y[1] (analytic) = -0.08819861926994774 y[1] (numeric) = -0.08819861926994704 absolute error = 6.938893903907228e-16 relative error = 7.867349808129644e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253.7 Order of pole (three term test) = -6678 Radius of convergence (six term test) for eq 1 = 964.5 Order of pole (six term test) = 9.541e+04 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = -0.08749887158003672 y[1] (numeric) = -0.08749887158003601 absolute error = 7.077671781985373e-16 relative error = 8.08887206678009e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253.5 Order of pole (three term test) = -6674 Radius of convergence (six term test) for eq 1 = 965.6 Order of pole (six term test) = 9.543e+04 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = -0.08680431692621993 y[1] (numeric) = -0.08680431692621919 absolute error = 7.355227538141662e-16 relative error = 8.473343030155172e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253.4 Order of pole (three term test) = -6670 Radius of convergence (six term test) for eq 1 = 1158 Order of pole (six term test) = 1.367e+05 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = -0.08611492124443811 y[1] (numeric) = -0.08611492124443736 absolute error = 7.494005416219807e-16 relative error = 8.702330917714009e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253.2 Order of pole (three term test) = -6665 Radius of convergence (six term test) for eq 1 = 2310 Order of pole (six term test) = 5.404e+05 TOP MAIN SOLVE Loop x[1] = 2.449999999999991 y[1] (analytic) = -0.08543065063437741 y[1] (numeric) = -0.08543065063437665 absolute error = 7.632783294297951e-16 relative error = 8.934478711820215e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 252.9 Order of pole (three term test) = -6659 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999991 y[1] (analytic) = -0.08475147135958326 y[1] (numeric) = -0.0847514713595825 absolute error = 7.632783294297951e-16 relative error = 9.006077619482974e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 252.8 Order of pole (three term test) = -6656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = -0.08407734984755594 y[1] (numeric) = -0.08407734984755515 absolute error = 7.91033905045424e-16 relative error = 9.408406740693893e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 253 Order of pole (three term test) = -6661 Radius of convergence (six term test) for eq 1 = 394.2 Order of pole (six term test) = 1.628e+04 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = -0.08340825268982781 y[1] (numeric) = -0.083408252689827 absolute error = 8.049116928532385e-16 relative error = 9.650264415039146e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 252.4 Order of pole (three term test) = -6646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.48999999999999 y[1] (analytic) = -0.08274414664202297 y[1] (numeric) = -0.08274414664202216 absolute error = 8.049116928532385e-16 relative error = 9.727717615308041e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 252.5 Order of pole (three term test) = -6649 Radius of convergence (six term test) for eq 1 = 557.9 Order of pole (six term test) = 3.182e+04 TOP MAIN SOLVE Loop x[1] = 2.49999999999999 y[1] (analytic) = -0.08208499862389944 y[1] (numeric) = -0.08208499862389862 absolute error = 8.187894806610529e-16 relative error = 9.974897903240733e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 252.4 Order of pole (three term test) = -6645 Radius of convergence (six term test) for eq 1 = 535.3 Order of pole (six term test) = 2.93e+04 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = -0.08143077571937413 y[1] (numeric) = -0.08143077571937329 absolute error = 8.326672684688674e-16 relative error = 1.022546157902752e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 252 Order of pole (three term test) = -6634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = -0.08078144517653123 y[1] (numeric) = -0.08078144517653038 absolute error = 8.465450562766819e-16 relative error = 1.047944926494855e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 251.8 Order of pole (three term test) = -6629 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = -0.08013697440761409 y[1] (numeric) = -0.08013697440761322 absolute error = 8.743006318923108e-16 relative error = 1.091007788047012e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 251.5 Order of pole (three term test) = -6624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999989 y[1] (analytic) = -0.07949733098900104 y[1] (numeric) = -0.07949733098900015 absolute error = 8.881784197001252e-16 relative error = 1.117243067975465e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 251.6 Order of pole (three term test) = -6625 Radius of convergence (six term test) for eq 1 = 1428 Order of pole (six term test) = 2.028e+05 TOP MAIN SOLVE Loop x[1] = 2.549999999999989 y[1] (analytic) = -0.07886248266116537 y[1] (numeric) = -0.07886248266116448 absolute error = 8.881784197001252e-16 relative error = 1.12623695035852e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 251.6 Order of pole (three term test) = -6625 Radius of convergence (six term test) for eq 1 = 637 Order of pole (six term test) = 4.08e+04 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = -0.07823239732862004 y[1] (numeric) = -0.07823239732861914 absolute error = 9.020562075079397e-16 relative error = 1.153046868446069e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 251.5 Order of pole (three term test) = -6622 Radius of convergence (six term test) for eq 1 = 555.9 Order of pole (six term test) = 3.117e+04 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = -0.07760704305984696 y[1] (numeric) = -0.07760704305984606 absolute error = 9.020562075079397e-16 relative error = 1.162338071316949e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 251.3 Order of pole (three term test) = -6617 Radius of convergence (six term test) for eq 1 = 696.7 Order of pole (six term test) = 4.849e+04 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = -0.07698638808721173 y[1] (numeric) = -0.0769863880872108 absolute error = 9.298117831235686e-16 relative error = 1.207761276019677e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.9 Order of pole (three term test) = -6608 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999988 y[1] (analytic) = -0.07637040080686357 y[1] (numeric) = -0.07637040080686262 absolute error = 9.436895709313831e-16 relative error = 1.235674503421713e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.7 Order of pole (three term test) = -6601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999988 y[1] (analytic) = -0.07575904977862127 y[1] (numeric) = -0.07575904977862033 absolute error = 9.436895709313831e-16 relative error = 1.24564599699835e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.8 Order of pole (three term test) = -6606 Radius of convergence (six term test) for eq 1 = 583.6 Order of pole (six term test) = 3.401e+04 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = -0.07515230372584508 y[1] (numeric) = -0.07515230372584411 absolute error = 9.71445146547012e-16 relative error = 1.292635219927302e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.2 Order of pole (three term test) = -6591 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = -0.07455013153529479 y[1] (numeric) = -0.0745501315352938 absolute error = 9.853229343548264e-16 relative error = 1.321691744954653e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.2 Order of pole (three term test) = -6588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999987 y[1] (analytic) = -0.07395250225697476 y[1] (numeric) = -0.07395250225697377 absolute error = 9.992007221626409e-16 relative error = 1.351138489797892e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.3 Order of pole (three term test) = -6593 Radius of convergence (six term test) for eq 1 = 686.7 Order of pole (six term test) = 4.657e+04 TOP MAIN SOLVE Loop x[1] = 2.639999999999987 y[1] (analytic) = -0.07335938510396563 y[1] (numeric) = -0.07335938510396461 absolute error = 1.013078509970455e-15 relative error = 1.380980100275801e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 249.9 Order of pole (three term test) = -6581 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = -0.07277074945224324 y[1] (numeric) = -0.07277074945224221 absolute error = 1.02695629777827e-15 relative error = 1.411221274355878e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 250.1 Order of pole (three term test) = -6588 Radius of convergence (six term test) for eq 1 = 476.6 Order of pole (six term test) = 2.267e+04 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = -0.07218656484048511 y[1] (numeric) = -0.07218656484048407 absolute error = 1.040834085586084e-15 relative error = 1.441866762722504e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 249.8 Order of pole (three term test) = -6579 Radius of convergence (six term test) for eq 1 = 651 Order of pole (six term test) = 4.166e+04 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = -0.07160680096986452 y[1] (numeric) = -0.07160680096986348 absolute error = 1.040834085586084e-15 relative error = 1.453540825017607e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 249.4 Order of pole (three term test) = -6570 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999986 y[1] (analytic) = -0.07103142770383271 y[1] (numeric) = -0.07103142770383165 absolute error = 1.054711873393899e-15 relative error = 1.484852420243538e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.63 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 249.4 Order of pole (three term test) = -6569 Radius of convergence (six term test) for eq 1 = 2178 Order of pole (six term test) = 4.585e+05 TOP MAIN SOLVE Loop x[1] = 2.689999999999986 y[1] (analytic) = -0.07046041506788916 y[1] (numeric) = -0.0704604150678881 absolute error = 1.068589661201713e-15 relative error = 1.516581558839979e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 249.1 Order of pole (three term test) = -6563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = -0.06989373324934055 y[1] (numeric) = -0.06989373324933948 absolute error = 1.068589661201713e-15 relative error = 1.528877642562891e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248.9 Order of pole (three term test) = -6558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = -0.06933135259704835 y[1] (numeric) = -0.06933135259704727 absolute error = 1.082467449009528e-15 relative error = 1.561295731962413e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 249 Order of pole (three term test) = -6560 Radius of convergence (six term test) for eq 1 = 1106 Order of pole (six term test) = 1.179e+05 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = -0.06877324362116549 y[1] (numeric) = -0.0687732436211644 absolute error = 1.096345236817342e-15 relative error = 1.594145017874267e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248.9 Order of pole (three term test) = -6557 Radius of convergence (six term test) for eq 1 = 987 Order of pole (six term test) = 9.394e+04 TOP MAIN SOLVE Loop x[1] = 2.729999999999985 y[1] (analytic) = -0.06821937699286221 y[1] (numeric) = -0.06821937699286108 absolute error = 1.124100812432971e-15 relative error = 1.647773494839429e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248.8 Order of pole (three term test) = -6556 Radius of convergence (six term test) for eq 1 = 491.4 Order of pole (six term test) = 2.368e+04 TOP MAIN SOLVE Loop x[1] = 2.739999999999985 y[1] (analytic) = -0.0676697235440414 y[1] (numeric) = -0.06766972354404026 absolute error = 1.137978600240785e-15 relative error = 1.681665803614753e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248.5 Order of pole (three term test) = -6547 Radius of convergence (six term test) for eq 1 = 877.4 Order of pole (six term test) = 7.404e+04 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = -0.06712425426704377 y[1] (numeric) = -0.06712425426704263 absolute error = 1.137978600240785e-15 relative error = 1.695331460538107e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248.3 Order of pole (three term test) = -6543 Radius of convergence (six term test) for eq 1 = 1073 Order of pole (six term test) = 1.102e+05 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = -0.06658294031434286 y[1] (numeric) = -0.06658294031434171 absolute error = 1.1518563880486e-15 relative error = 1.729957227197542e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248 Order of pole (three term test) = -6535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999984 y[1] (analytic) = -0.06604575299823026 y[1] (numeric) = -0.06604575299822908 absolute error = 1.179611963664229e-15 relative error = 1.786052713632983e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248.2 Order of pole (three term test) = -6539 Radius of convergence (six term test) for eq 1 = 646.1 Order of pole (six term test) = 4.019e+04 TOP MAIN SOLVE Loop x[1] = 2.779999999999984 y[1] (analytic) = -0.06551266379049121 y[1] (numeric) = -0.06551266379049003 absolute error = 1.179611963664229e-15 relative error = 1.800586169777213e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 248 Order of pole (three term test) = -6534 Radius of convergence (six term test) for eq 1 = 656.7 Order of pole (six term test) = 4.142e+04 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = -0.06498364432207099 y[1] (numeric) = -0.06498364432206979 absolute error = 1.193489751472043e-15 relative error = 1.836600215212441e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 247.7 Order of pole (three term test) = -6525 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = -0.06445866638273189 y[1] (numeric) = -0.06445866638273069 absolute error = 1.193489751472043e-15 relative error = 1.851558244139802e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 247.6 Order of pole (three term test) = -6525 Radius of convergence (six term test) for eq 1 = 738.5 Order of pole (six term test) = 5.202e+04 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = -0.06393770192070156 y[1] (numeric) = -0.06393770192070035 absolute error = 1.207367539279858e-15 relative error = 1.888349914073061e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 247.2 Order of pole (three term test) = -6515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999983 y[1] (analytic) = -0.06342072304231233 y[1] (numeric) = -0.06342072304231111 absolute error = 1.221245327087672e-15 relative error = 1.925625045732915e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 247.2 Order of pole (three term test) = -6513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999983 y[1] (analytic) = -0.06290770201163226 y[1] (numeric) = -0.06290770201163104 absolute error = 1.221245327087672e-15 relative error = 1.941328784926608e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 247.2 Order of pole (three term test) = -6514 Radius of convergence (six term test) for eq 1 = 723.2 Order of pole (six term test) = 4.964e+04 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = -0.06239861125008775 y[1] (numeric) = -0.06239861125008651 absolute error = 1.242062008799394e-15 relative error = 1.990528288877018e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 246.8 Order of pole (three term test) = -6504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = -0.06189342333607802 y[1] (numeric) = -0.06189342333607678 absolute error = 1.242062008799394e-15 relative error = 2.006775424353348e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 246.8 Order of pole (three term test) = -6503 Radius of convergence (six term test) for eq 1 = 1224 Order of pole (six term test) = 1.407e+05 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = -0.06139211100458187 y[1] (numeric) = -0.06139211100458062 absolute error = 1.249000902703301e-15 relative error = 2.034464823355047e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 246.7 Order of pole (three term test) = -6501 Radius of convergence (six term test) for eq 1 = 1346 Order of pole (six term test) = 1.696e+05 TOP MAIN SOLVE Loop x[1] = 2.869999999999982 y[1] (analytic) = -0.06089464714675646 y[1] (numeric) = -0.06089464714675519 absolute error = 1.269817584415023e-15 relative error = 2.085269631918147e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.61 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 246.3 Order of pole (three term test) = -6492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999982 y[1] (analytic) = -0.06040100480952876 y[1] (numeric) = -0.06040100480952749 absolute error = 1.27675647831893e-15 relative error = 2.113800063997464e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 246.3 Order of pole (three term test) = -6492 Radius of convergence (six term test) for eq 1 = 754.8 Order of pole (six term test) = 5.349e+04 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = -0.05991115719517964 y[1] (numeric) = -0.05991115719517835 absolute error = 1.290634266126744e-15 relative error = 2.154246932540617e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 246.1 Order of pole (three term test) = -6485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = -0.05942507766092069 y[1] (numeric) = -0.0594250776609194 absolute error = 1.297573160030652e-15 relative error = 2.183544744248548e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 245.9 Order of pole (three term test) = -6481 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999981 y[1] (analytic) = -0.05894273971846432 y[1] (numeric) = -0.05894273971846302 absolute error = 1.304512053934559e-15 relative error = 2.213185305205467e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 245.7 Order of pole (three term test) = -6475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999981 y[1] (analytic) = -0.05846411703358682 y[1] (numeric) = -0.0584641170335855 absolute error = 1.318389841742373e-15 relative error = 2.255041055327966e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 245.6 Order of pole (three term test) = -6474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999981 y[1] (analytic) = -0.05798918342568494 y[1] (numeric) = -0.05798918342568361 absolute error = 1.325328735646281e-15 relative error = 2.285475768674573e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 245.5 Order of pole (three term test) = -6471 Radius of convergence (six term test) for eq 1 = 919 Order of pole (six term test) = 7.83e+04 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = -0.0575179128673261 y[1] (numeric) = -0.05751791286732476 absolute error = 1.339206523454095e-15 relative error = 2.328329483274507e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 245.3 Order of pole (three term test) = -6466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = -0.05705027948379221 y[1] (numeric) = -0.05705027948379087 absolute error = 1.339206523454095e-15 relative error = 2.347414483455001e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 245.2 Order of pole (three term test) = -6463 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95999999999998 y[1] (analytic) = -0.05658625755261752 y[1] (numeric) = -0.05658625755261616 absolute error = 1.35308431126191e-15 relative error = 2.391188903071961e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.9 Order of pole (three term test) = -6456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.96999999999998 y[1] (analytic) = -0.05612582150312043 y[1] (numeric) = -0.05612582150311907 absolute error = 1.360023205165817e-15 relative error = 2.423168461044625e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.6 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.9 Order of pole (three term test) = -6456 Radius of convergence (six term test) for eq 1 = 988.9 Order of pole (six term test) = 8.994e+04 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = -0.05566894591592967 y[1] (numeric) = -0.0556689459159283 absolute error = 1.373900992973631e-15 relative error = 2.467984565485529e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.6 Order of pole (three term test) = -6447 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = -0.0552156055225048 y[1] (numeric) = -0.05521560552250341 absolute error = 1.387778780781446e-15 relative error = 2.513381439266865e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.5 Order of pole (three term test) = -6444 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = -0.05476577520465125 y[1] (numeric) = -0.05476577520464986 absolute error = 1.387778780781446e-15 relative error = 2.534025631145602e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.3 Order of pole (three term test) = -6441 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.009999999999979 y[1] (analytic) = -0.05431942999403022 y[1] (numeric) = -0.05431942999402882 absolute error = 1.40165656858926e-15 relative error = 2.580396312596255e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.3 Order of pole (three term test) = -6440 Radius of convergence (six term test) for eq 1 = 860.9 Order of pole (six term test) = 6.777e+04 TOP MAIN SOLVE Loop x[1] = 3.019999999999979 y[1] (analytic) = -0.05387654507166323 y[1] (numeric) = -0.05387654507166182 absolute error = 1.408595462493167e-15 relative error = 2.614487362950875e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.1 Order of pole (three term test) = -6436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = -0.05343709576743189 y[1] (numeric) = -0.05343709576743047 absolute error = 1.422473250300982e-15 relative error = 2.661958382790577e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.1 Order of pole (three term test) = -6435 Radius of convergence (six term test) for eq 1 = 711.1 Order of pole (six term test) = 4.626e+04 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = -0.05300105755957273 y[1] (numeric) = -0.0530010575595713 absolute error = 1.429412144204889e-15 relative error = 2.69695023084821e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 244.1 Order of pole (three term test) = -6435 Radius of convergence (six term test) for eq 1 = 556.9 Order of pole (six term test) = 2.853e+04 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = -0.05256840607416734 y[1] (numeric) = -0.05256840607416592 absolute error = 1.422473250300982e-15 relative error = 2.705947082158155e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 243.8 Order of pole (three term test) = -6429 Radius of convergence (six term test) for eq 1 = 552.3 Order of pole (six term test) = 2.801e+04 TOP MAIN SOLVE Loop x[1] = 3.059999999999978 y[1] (analytic) = -0.05213911708462813 y[1] (numeric) = -0.05213911708462669 absolute error = 1.436351038108796e-15 relative error = 2.754843423561285e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 243.4 Order of pole (three term test) = -6417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999978 y[1] (analytic) = -0.05171316651117936 y[1] (numeric) = -0.05171316651117792 absolute error = 1.443289932012704e-15 relative error = 2.790952535657806e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 243.5 Order of pole (three term test) = -6419 Radius of convergence (six term test) for eq 1 = 834.5 Order of pole (six term test) = 6.305e+04 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = -0.05129053042033428 y[1] (numeric) = -0.05129053042033282 absolute error = 1.457167719820518e-15 relative error = 2.841007312419643e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 243.1 Order of pole (three term test) = -6410 Radius of convergence (six term test) for eq 1 = 1844 Order of pole (six term test) = 3.053e+05 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = -0.05087118502436785 y[1] (numeric) = -0.05087118502436638 absolute error = 1.464106613724425e-15 relative error = 2.878066656051166e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 243 Order of pole (three term test) = -6407 Radius of convergence (six term test) for eq 1 = 3011 Order of pole (six term test) = 8.11e+05 TOP MAIN SOLVE Loop x[1] = 3.099999999999977 y[1] (analytic) = -0.05045510668078568 y[1] (numeric) = -0.05045510668078421 absolute error = 1.471045507628332e-15 relative error = 2.915553259921133e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 242.7 Order of pole (three term test) = -6399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999977 y[1] (analytic) = -0.05004227189178896 y[1] (numeric) = -0.05004227189178748 absolute error = 1.484923295436147e-15 relative error = 2.967337891147576e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 242.5 Order of pole (three term test) = -6396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = -0.04963265730373572 y[1] (numeric) = -0.04963265730373423 absolute error = 1.491862189340054e-15 relative error = 3.005807608104363e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 242.1 Order of pole (three term test) = -6384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = -0.0492262397065985 y[1] (numeric) = -0.04922623970659699 absolute error = 1.505739977147869e-15 relative error = 3.05881575786101e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 242.3 Order of pole (three term test) = -6389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = -0.04882299603341848 y[1] (numeric) = -0.04882299603341697 absolute error = 1.512678871051776e-15 relative error = 3.098291776310437e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 242.3 Order of pole (three term test) = -6389 Radius of convergence (six term test) for eq 1 = 931.1 Order of pole (six term test) = 7.737e+04 TOP MAIN SOLVE Loop x[1] = 3.149999999999976 y[1] (analytic) = -0.04842290335975635 y[1] (numeric) = -0.04842290335975483 absolute error = 1.512678871051776e-15 relative error = 3.123891311954962e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 241.9 Order of pole (three term test) = -6380 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999976 y[1] (analytic) = -0.04802593890313983 y[1] (numeric) = -0.04802593890313831 absolute error = 1.519617764955683e-15 relative error = 3.164160450919021e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 242.3 Order of pole (three term test) = -6389 Radius of convergence (six term test) for eq 1 = 439.7 Order of pole (six term test) = 1.759e+04 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = -0.0476320800225082 y[1] (numeric) = -0.04763208002250666 absolute error = 1.533495552763497e-15 relative error = 3.219459557589875e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 241.5 Order of pole (three term test) = -6369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = -0.04724130421765367 y[1] (numeric) = -0.04724130421765212 absolute error = 1.547373340571312e-15 relative error = 3.275467022337355e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 241.7 Order of pole (three term test) = -6375 Radius of convergence (six term test) for eq 1 = 860 Order of pole (six term test) = 6.562e+04 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = -0.04685358912866004 y[1] (numeric) = -0.04685358912865848 absolute error = 1.554312234475219e-15 relative error = 3.317381364759646e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 241.3 Order of pole (three term test) = -6365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999975 y[1] (analytic) = -0.04646891253533843 y[1] (numeric) = -0.04646891253533687 absolute error = 1.554312234475219e-15 relative error = 3.344843142806934e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 241.2 Order of pole (three term test) = -6363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999975 y[1] (analytic) = -0.04608725235666052 y[1] (numeric) = -0.04608725235665895 absolute error = 1.561251128379126e-15 relative error = 3.387598627700562e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 241.3 Order of pole (three term test) = -6364 Radius of convergence (six term test) for eq 1 = 708 Order of pole (six term test) = 4.44e+04 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = -0.04570858665018902 y[1] (numeric) = -0.04570858665018745 absolute error = 1.568190022283034e-15 relative error = 3.430843386789665e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.9 Order of pole (three term test) = -6354 Radius of convergence (six term test) for eq 1 = 2391 Order of pole (six term test) = 5.001e+05 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = -0.04533289361150589 y[1] (numeric) = -0.04533289361150431 absolute error = 1.575128916186941e-15 relative error = 3.474582782395252e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.9 Order of pole (three term test) = -6354 Radius of convergence (six term test) for eq 1 = 625.9 Order of pole (six term test) = 3.469e+04 TOP MAIN SOLVE Loop x[1] = 3.239999999999974 y[1] (analytic) = -0.04496015157363811 y[1] (numeric) = -0.04496015157363652 absolute error = 1.589006703994755e-15 relative error = 3.534255665024163e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.6 Order of pole (three term test) = -6347 Radius of convergence (six term test) for eq 1 = 1127 Order of pole (six term test) = 1.112e+05 TOP MAIN SOLVE Loop x[1] = 3.249999999999974 y[1] (analytic) = -0.04459033900648126 y[1] (numeric) = -0.04459033900647967 absolute error = 1.589006703994755e-15 relative error = 3.563567219714995e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.57 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.5 Order of pole (three term test) = -6344 Radius of convergence (six term test) for eq 1 = 1096 Order of pole (six term test) = 1.049e+05 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = -0.04422343451622093 y[1] (numeric) = -0.04422343451621933 absolute error = 1.595945597898663e-15 relative error = 3.608823275164841e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.4 Order of pole (three term test) = -6342 Radius of convergence (six term test) for eq 1 = 785.6 Order of pole (six term test) = 5.407e+04 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = -0.04385941684475211 y[1] (numeric) = -0.0438594168447505 absolute error = 1.609823385706477e-15 relative error = 3.670416757716413e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.2 Order of pole (three term test) = -6335 Radius of convergence (six term test) for eq 1 = 1007 Order of pole (six term test) = 8.838e+04 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = -0.04349826486909665 y[1] (numeric) = -0.04349826486909503 absolute error = 1.616762279610384e-15 relative error = 3.716843153343832e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 240.1 Order of pole (three term test) = -6335 Radius of convergence (six term test) for eq 1 = 763.5 Order of pole (six term test) = 5.093e+04 TOP MAIN SOLVE Loop x[1] = 3.289999999999973 y[1] (analytic) = -0.04313995760081886 y[1] (numeric) = -0.04313995760081724 absolute error = 1.623701173514291e-15 relative error = 3.763798723537622e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 239.9 Order of pole (three term test) = -6328 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999973 y[1] (analytic) = -0.04278447418543935 y[1] (numeric) = -0.04278447418543773 absolute error = 1.623701173514291e-15 relative error = 3.795071002805215e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 239.6 Order of pole (three term test) = -6322 Radius of convergence (six term test) for eq 1 = 3750 Order of pole (six term test) = 1.213e+06 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = -0.04243179390184729 y[1] (numeric) = -0.04243179390184566 absolute error = 1.630640067418199e-15 relative error = 3.842967542664294e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 239.6 Order of pole (three term test) = -6320 Radius of convergence (six term test) for eq 1 = 2290 Order of pole (six term test) = 4.518e+05 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = -0.04208189616171099 y[1] (numeric) = -0.04208189616170934 absolute error = 1.644517855226013e-15 relative error = 3.907898657671013e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 239.4 Order of pole (three term test) = -6317 Radius of convergence (six term test) for eq 1 = 899.4 Order of pole (six term test) = 6.997e+04 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = -0.04173476050888703 y[1] (numeric) = -0.04173476050888538 absolute error = 1.65145674912992e-15 relative error = 3.957029413834202e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 239.2 Order of pole (three term test) = -6311 Radius of convergence (six term test) for eq 1 = 7671 Order of pole (six term test) = 5.046e+06 TOP MAIN SOLVE Loop x[1] = 3.339999999999972 y[1] (analytic) = -0.04139036661882816 y[1] (numeric) = -0.0413903666188265 absolute error = 1.658395643033828e-15 relative error = 4.006718902266104e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 238.8 Order of pole (three term test) = -6302 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999972 y[1] (analytic) = -0.04104869429798963 y[1] (numeric) = -0.04104869429798797 absolute error = 1.658395643033828e-15 relative error = 4.040069170032159e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.56 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 239 Order of pole (three term test) = -6306 Radius of convergence (six term test) for eq 1 = 892.8 Order of pole (six term test) = 6.861e+04 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = -0.04070972348323454 y[1] (numeric) = -0.04070972348323287 absolute error = 1.665334536937735e-15 relative error = 4.090753742465405e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 238.5 Order of pole (three term test) = -6294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = -0.04037343424123792 y[1] (numeric) = -0.04037343424123624 absolute error = 1.679212324745549e-15 relative error = 4.159201109105505e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 238.3 Order of pole (three term test) = -6287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999971 y[1] (analytic) = -0.04003980676788978 y[1] (numeric) = -0.04003980676788809 absolute error = 1.686151218649456e-15 relative error = 4.21118720283555e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 238.3 Order of pole (three term test) = -6288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999971 y[1] (analytic) = -0.03970882138769724 y[1] (numeric) = -0.03970882138769555 absolute error = 1.693090112553364e-15 relative error = 4.263763197660468e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 238.3 Order of pole (three term test) = -6289 Radius of convergence (six term test) for eq 1 = 1011 Order of pole (six term test) = 8.727e+04 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = -0.03938045855318572 y[1] (numeric) = -0.03938045855318402 absolute error = 1.700029006457271e-15 relative error = 4.316935528217066e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237.9 Order of pole (three term test) = -6278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = -0.03905469884429931 y[1] (numeric) = -0.0390546988442976 absolute error = 1.706967900361178e-15 relative error = 4.370710697748317e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 238 Order of pole (three term test) = -6281 Radius of convergence (six term test) for eq 1 = 926 Order of pole (six term test) = 7.302e+04 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = -0.03873152296780041 y[1] (numeric) = -0.03873152296779869 absolute error = 1.713906794265085e-15 relative error = 4.425095278824817e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237.8 Order of pole (three term test) = -6276 Radius of convergence (six term test) for eq 1 = 1114 Order of pole (six term test) = 1.052e+05 TOP MAIN SOLVE Loop x[1] = 3.42999999999997 y[1] (analytic) = -0.0384109117566687 y[1] (numeric) = -0.03841091175666698 absolute error = 1.720845688168993e-15 relative error = 4.480095914073762e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237.7 Order of pole (three term test) = -6273 Radius of convergence (six term test) for eq 1 = 2926 Order of pole (six term test) = 7.226e+05 TOP MAIN SOLVE Loop x[1] = 3.43999999999997 y[1] (analytic) = -0.03809284616949955 y[1] (numeric) = -0.03809284616949781 absolute error = 1.734723475976807e-15 relative error = 4.553935057144084e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237.5 Order of pole (three term test) = -6269 Radius of convergence (six term test) for eq 1 = 892.3 Order of pole (six term test) = 6.748e+04 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = -0.03777730728990179 y[1] (numeric) = -0.03777730728990006 absolute error = 1.734723475976807e-15 relative error = 4.591972272307809e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237.3 Order of pole (three term test) = -6263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = -0.03746427632589525 y[1] (numeric) = -0.0374642763258935 absolute error = 1.748601263784622e-15 relative error = 4.667382998603368e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237 Order of pole (three term test) = -6255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = -0.03715373460930762 y[1] (numeric) = -0.03715373460930586 absolute error = 1.755540157688529e-15 relative error = 4.725070510808723e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 237 Order of pole (three term test) = -6256 Radius of convergence (six term test) for eq 1 = 1131 Order of pole (six term test) = 1.076e+05 TOP MAIN SOLVE Loop x[1] = 3.479999999999969 y[1] (analytic) = -0.03684566359517123 y[1] (numeric) = -0.03684566359516947 absolute error = 1.762479051592436e-15 relative error = 4.78340971398169e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 236.9 Order of pole (three term test) = -6252 Radius of convergence (six term test) for eq 1 = 1372 Order of pole (six term test) = 1.579e+05 TOP MAIN SOLVE Loop x[1] = 3.489999999999969 y[1] (analytic) = -0.0365400448611195 y[1] (numeric) = -0.03654004486111773 absolute error = 1.769417945496343e-15 relative error = 4.842407698790474e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 236.6 Order of pole (three term test) = -6246 Radius of convergence (six term test) for eq 1 = 1990 Order of pole (six term test) = 3.31e+05 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = -0.03623686010678315 y[1] (numeric) = -0.03623686010678137 absolute error = 1.77635683940025e-15 relative error = 4.902071631387665e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 236.5 Order of pole (three term test) = -6243 Radius of convergence (six term test) for eq 1 = 1023 Order of pole (six term test) = 8.756e+04 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = -0.03593609115318637 y[1] (numeric) = -0.03593609115318459 absolute error = 1.77635683940025e-15 relative error = 4.943099770723798e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 236.5 Order of pole (three term test) = -6242 Radius of convergence (six term test) for eq 1 = 967.6 Order of pole (six term test) = 7.835e+04 TOP MAIN SOLVE Loop x[1] = 3.519999999999968 y[1] (analytic) = -0.0356377199421429 y[1] (numeric) = -0.03563771994214112 absolute error = 1.783295733304158e-15 relative error = 5.00395574183562e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 236.1 Order of pole (three term test) = -6232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999968 y[1] (analytic) = -0.03534172853565209 y[1] (numeric) = -0.03534172853565029 absolute error = 1.797173521111972e-15 relative error = 5.085131926411059e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.54 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 236.1 Order of pole (three term test) = -6232 Radius of convergence (six term test) for eq 1 = 783.9 Order of pole (six term test) = 5.14e+04 TOP MAIN SOLVE Loop x[1] = 3.539999999999968 y[1] (analytic) = -0.03504809911529498 y[1] (numeric) = -0.03504809911529318 absolute error = 1.804112415015879e-15 relative error = 5.147532849302418e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 235.7 Order of pole (three term test) = -6223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = -0.03475681398163065 y[1] (numeric) = -0.03475681398162884 absolute error = 1.811051308919787e-15 relative error = 5.210636711054548e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 235.7 Order of pole (three term test) = -6221 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = -0.03446785555359255 y[1] (numeric) = -0.03446785555359074 absolute error = 1.811051308919787e-15 relative error = 5.254319654739943e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 235.5 Order of pole (three term test) = -6216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999967 y[1] (analytic) = -0.03418120636788526 y[1] (numeric) = -0.03418120636788344 absolute error = 1.817990202823694e-15 relative error = 5.318683557441014e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 235.3 Order of pole (three term test) = -6212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999967 y[1] (analytic) = -0.03389684907838131 y[1] (numeric) = -0.03389684907837948 absolute error = 1.831867990631508e-15 relative error = 5.4042426964099e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 235.3 Order of pole (three term test) = -6213 Radius of convergence (six term test) for eq 1 = 1054 Order of pole (six term test) = 9.176e+04 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = -0.03361476645551856 y[1] (numeric) = -0.03361476645551673 absolute error = 1.831867990631508e-15 relative error = 5.449593091939419e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 235.1 Order of pole (three term test) = -6207 Radius of convergence (six term test) for eq 1 = 3235 Order of pole (six term test) = 8.596e+05 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = -0.03333494138569786 y[1] (numeric) = -0.03333494138569602 absolute error = 1.838806884535416e-15 relative error = 5.516154545645441e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234.9 Order of pole (three term test) = -6201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = -0.03305735687068113 y[1] (numeric) = -0.03305735687067929 absolute error = 1.838806884535416e-15 relative error = 5.562474010637765e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234.7 Order of pole (three term test) = -6198 Radius of convergence (six term test) for eq 1 = 1378 Order of pole (six term test) = 1.558e+05 TOP MAIN SOLVE Loop x[1] = 3.619999999999966 y[1] (analytic) = -0.03278199602699005 y[1] (numeric) = -0.03278199602698821 absolute error = 1.838806884535416e-15 relative error = 5.60919744795738e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234.6 Order of pole (three term test) = -6194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999966 y[1] (analytic) = -0.03250884208530519 y[1] (numeric) = -0.03250884208530334 absolute error = 1.85268467234323e-15 relative error = 5.699017724106174e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234.5 Order of pole (three term test) = -6192 Radius of convergence (six term test) for eq 1 = 944.1 Order of pole (six term test) = 7.315e+04 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = -0.03223787838986574 y[1] (numeric) = -0.03223787838986389 absolute error = 1.85268467234323e-15 relative error = 5.746918733106325e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234.2 Order of pole (three term test) = -6184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = -0.03196908839786999 y[1] (numeric) = -0.03196908839786813 absolute error = 1.859623566247137e-15 relative error = 5.816942738883472e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234.3 Order of pole (three term test) = -6187 Radius of convergence (six term test) for eq 1 = 802.9 Order of pole (six term test) = 5.285e+04 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = -0.03170245567887637 y[1] (numeric) = -0.03170245567887451 absolute error = 1.859623566247137e-15 relative error = 5.865865991845613e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 234 Order of pole (three term test) = -6179 Radius of convergence (six term test) for eq 1 = 989.8 Order of pole (six term test) = 7.994e+04 TOP MAIN SOLVE Loop x[1] = 3.669999999999965 y[1] (analytic) = -0.03143796391420529 y[1] (numeric) = -0.03143796391420342 absolute error = 1.866562460151044e-15 relative error = 5.937288003908025e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 233.7 Order of pole (three term test) = -6172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999965 y[1] (analytic) = -0.03117559689634175 y[1] (numeric) = -0.03117559689633988 absolute error = 1.876970801006905e-15 relative error = 6.02064110351374e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 233.6 Order of pole (three term test) = -6169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = -0.03091533852833879 y[1] (numeric) = -0.03091533852833691 absolute error = 1.883909694910813e-15 relative error = 6.093770227306136e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 233.5 Order of pole (three term test) = -6167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = -0.03065717282322176 y[1] (numeric) = -0.03065717282321987 absolute error = 1.89084858881472e-15 relative error = 6.16772002988634e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.52 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 233.2 Order of pole (three term test) = -6159 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999964 y[1] (analytic) = -0.03040108390339352 y[1] (numeric) = -0.03040108390339163 absolute error = 1.89084858881472e-15 relative error = 6.219674912984447e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 233.2 Order of pole (three term test) = -6158 Radius of convergence (six term test) for eq 1 = 1418 Order of pole (six term test) = 1.624e+05 TOP MAIN SOLVE Loop x[1] = 3.719999999999964 y[1] (analytic) = -0.03014705600004066 y[1] (numeric) = -0.03014705600003876 absolute error = 1.897787482718627e-15 relative error = 6.295100532257835e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232.8 Order of pole (three term test) = -6148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = -0.02989507345254054 y[1] (numeric) = -0.02989507345253863 absolute error = 1.904726376622534e-15 relative error = 6.371372124729358e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232.8 Order of pole (three term test) = -6148 Radius of convergence (six term test) for eq 1 = 2589 Order of pole (six term test) = 5.382e+05 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = -0.02964512070786954 y[1] (numeric) = -0.02964512070786763 absolute error = 1.911665270526441e-15 relative error = 6.448498858764889e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232.8 Order of pole (three term test) = -6150 Radius of convergence (six term test) for eq 1 = 744.1 Order of pole (six term test) = 4.479e+04 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = -0.02939718232001229 y[1] (numeric) = -0.02939718232001037 absolute error = 1.918604164430349e-15 relative error = 6.526490000112183e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232.7 Order of pole (three term test) = -6146 Radius of convergence (six term test) for eq 1 = 856.5 Order of pole (six term test) = 5.911e+04 TOP MAIN SOLVE Loop x[1] = 3.759999999999963 y[1] (analytic) = -0.02915124294937195 y[1] (numeric) = -0.02915124294937002 absolute error = 1.922073611382302e-15 relative error = 6.593453372538658e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232.4 Order of pole (three term test) = -6139 Radius of convergence (six term test) for eq 1 = 864.1 Order of pole (six term test) = 6.006e+04 TOP MAIN SOLVE Loop x[1] = 3.769999999999963 y[1] (analytic) = -0.02890728736218176 y[1] (numeric) = -0.02890728736217983 absolute error = 1.925543058334256e-15 relative error = 6.661099100060722e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232.1 Order of pole (three term test) = -6132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = -0.02866530042991767 y[1] (numeric) = -0.02866530042991574 absolute error = 1.932481952238163e-15 relative error = 6.741537410231543e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232 Order of pole (three term test) = -6128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = -0.0284252671287122 y[1] (numeric) = -0.02842526712871026 absolute error = 1.93942084614207e-15 relative error = 6.822876412595161e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 232 Order of pole (three term test) = -6130 Radius of convergence (six term test) for eq 1 = 1112 Order of pole (six term test) = 9.867e+04 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = -0.02818717253876954 y[1] (numeric) = -0.0281871725387676 absolute error = 1.946359740045978e-15 relative error = 6.905125859533771e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 231.7 Order of pole (three term test) = -6120 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999962 y[1] (analytic) = -0.02795100184378198 y[1] (numeric) = -0.02795100184378003 absolute error = 1.946359740045978e-15 relative error = 6.963470400539391e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 231.5 Order of pole (three term test) = -6117 Radius of convergence (six term test) for eq 1 = 2671 Order of pole (six term test) = 5.657e+05 TOP MAIN SOLVE Loop x[1] = 3.819999999999962 y[1] (analytic) = -0.02771674033034757 y[1] (numeric) = -0.02771674033034562 absolute error = 1.953298633949885e-15 relative error = 7.047360586667481e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 231.5 Order of pole (three term test) = -6116 Radius of convergence (six term test) for eq 1 = 947.8 Order of pole (six term test) = 7.148e+04 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = -0.02748437338738918 y[1] (numeric) = -0.02748437338738722 absolute error = 1.956768080901838e-15 relative error = 7.11956591959151e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 231.2 Order of pole (three term test) = -6109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = -0.0272538865055749 y[1] (numeric) = -0.02725388650557294 absolute error = 1.963706974805746e-15 relative error = 7.205236487662268e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 231.1 Order of pole (three term test) = -6106 Radius of convergence (six term test) for eq 1 = 1255 Order of pole (six term test) = 1.247e+05 TOP MAIN SOLVE Loop x[1] = 3.849999999999961 y[1] (analytic) = -0.02702526527673989 y[1] (numeric) = -0.02702526527673792 absolute error = 1.970645868709653e-15 relative error = 7.291865032702376e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 230.9 Order of pole (three term test) = -6100 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999961 y[1] (analytic) = -0.02679849539330957 y[1] (numeric) = -0.0267984953933076 absolute error = 1.970645868709653e-15 relative error = 7.353569070902532e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 230.8 Order of pole (three term test) = -6099 Radius of convergence (six term test) for eq 1 = 3644 Order of pole (six term test) = 1.044e+06 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = -0.02657356264772443 y[1] (numeric) = -0.02657356264772245 absolute error = 1.97758476261356e-15 relative error = 7.441925604141402e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.5 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 230.6 Order of pole (three term test) = -6093 Radius of convergence (six term test) for eq 1 = 1222 Order of pole (six term test) = 1.175e+05 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = -0.0263504529318661 y[1] (numeric) = -0.02635045293186412 absolute error = 1.981054209565514e-15 relative error = 7.518103065203055e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 230.5 Order of pole (three term test) = -6091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = -0.0261291522364852 y[1] (numeric) = -0.02612915223648321 absolute error = 1.987993103469421e-15 relative error = 7.608333731905414e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 230.2 Order of pole (three term test) = -6083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.89999999999996 y[1] (analytic) = -0.02590964665063049 y[1] (numeric) = -0.02590964665062849 absolute error = 1.994931997373328e-15 relative error = 7.699572380408295e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 230.2 Order of pole (three term test) = -6084 Radius of convergence (six term test) for eq 1 = 970.5 Order of pole (six term test) = 7.398e+04 TOP MAIN SOLVE Loop x[1] = 3.90999999999996 y[1] (analytic) = -0.02569192236107977 y[1] (numeric) = -0.02569192236107778 absolute error = 1.994931997373328e-15 relative error = 7.76482183519056e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229.8 Order of pole (three term test) = -6073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = -0.02547596565177231 y[1] (numeric) = -0.02547596565177031 absolute error = 2.001870891277235e-15 relative error = 7.857880319986887e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229.8 Order of pole (three term test) = -6072 Radius of convergence (six term test) for eq 1 = 1728 Order of pole (six term test) = 2.329e+05 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = -0.02526176290324283 y[1] (numeric) = -0.02526176290324082 absolute error = 2.005340338229189e-15 relative error = 7.938243842719961e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229.6 Order of pole (three term test) = -6067 Radius of convergence (six term test) for eq 1 = 6979 Order of pole (six term test) = 3.787e+06 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = -0.02504930059205724 y[1] (numeric) = -0.02504930059205523 absolute error = 2.008809785181143e-15 relative error = 8.019424645405494e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229.7 Order of pole (three term test) = -6070 Radius of convergence (six term test) for eq 1 = 936.9 Order of pole (six term test) = 6.857e+04 TOP MAIN SOLVE Loop x[1] = 3.949999999999959 y[1] (analytic) = -0.02483856529024999 y[1] (numeric) = -0.02483856529024797 absolute error = 2.01574867908505e-15 relative error = 8.11539899962057e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229.4 Order of pole (three term test) = -6062 Radius of convergence (six term test) for eq 1 = 1078 Order of pole (six term test) = 9.041e+04 TOP MAIN SOLVE Loop x[1] = 3.959999999999959 y[1] (analytic) = -0.02462954366476309 y[1] (numeric) = -0.02462954366476107 absolute error = 2.01574867908505e-15 relative error = 8.184271322772961e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229.1 Order of pole (three term test) = -6054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = -0.02442222247688688 y[1] (numeric) = -0.02442222247688485 absolute error = 2.022687572988957e-15 relative error = 8.282160130607372e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 229 Order of pole (three term test) = -6052 Radius of convergence (six term test) for eq 1 = 6779 Order of pole (six term test) = 3.552e+06 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = -0.02421658858170252 y[1] (numeric) = -0.02421658858170049 absolute error = 2.026157019940911e-15 relative error = 8.366814397102269e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 228.7 Order of pole (three term test) = -6046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999958 y[1] (analytic) = -0.02401262892752623 y[1] (numeric) = -0.02401262892752419 absolute error = 2.033095913844818e-15 relative error = 8.466777710932906e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 228.6 Order of pole (three term test) = -6043 Radius of convergence (six term test) for eq 1 = 9752 Order of pole (six term test) = 7.325e+06 TOP MAIN SOLVE Loop x[1] = 3.999999999999958 y[1] (analytic) = -0.02381033055535528 y[1] (numeric) = -0.02381033055535324 absolute error = 2.040034807748725e-15 relative error = 8.567855885099807e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 228.6 Order of pole (three term test) = -6041 Radius of convergence (six term test) for eq 1 = 1095 Order of pole (six term test) = 9.261e+04 TOP MAIN SOLVE Loop x[1] = 4.009999999999958 y[1] (analytic) = -0.02360968059831584 y[1] (numeric) = -0.0236096805983138 absolute error = 2.040034807748725e-15 relative error = 8.640670928408274e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 228.5 Order of pole (three term test) = -6040 Radius of convergence (six term test) for eq 1 = 707.4 Order of pole (six term test) = 3.881e+04 TOP MAIN SOLVE Loop x[1] = 4.019999999999958 y[1] (analytic) = -0.02341066628111256 y[1] (numeric) = -0.02341066628111052 absolute error = 2.046973701652632e-15 relative error = 8.74376524389699e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 228 Order of pole (three term test) = -6028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999958 y[1] (analytic) = -0.02321327491948007 y[1] (numeric) = -0.02321327491947802 absolute error = 2.050443148604586e-15 relative error = 8.833062787206725e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 228 Order of pole (three term test) = -6028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999957 y[1] (analytic) = -0.02301749391963623 y[1] (numeric) = -0.02301749391963417 absolute error = 2.057382042508493e-15 relative error = 8.938340766773658e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 227.9 Order of pole (three term test) = -6023 Radius of convergence (six term test) for eq 1 = 2038 Order of pole (six term test) = 3.178e+05 TOP MAIN SOLVE Loop x[1] = 4.049999999999957 y[1] (analytic) = -0.02282331077773733 y[1] (numeric) = -0.02282331077773527 absolute error = 2.0643209364124e-15 relative error = 9.044791776774176e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 227.8 Order of pole (three term test) = -6023 Radius of convergence (six term test) for eq 1 = 871.8 Order of pole (six term test) = 5.84e+04 TOP MAIN SOLVE Loop x[1] = 4.059999999999957 y[1] (analytic) = -0.02263071307933514 y[1] (numeric) = -0.02263071307933307 absolute error = 2.0643209364124e-15 relative error = 9.121767083412856e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 227.4 Order of pole (three term test) = -6011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999957 y[1] (analytic) = -0.02243968849883585 y[1] (numeric) = -0.02243968849883378 absolute error = 2.067790383364354e-15 relative error = 9.214880070512695e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 227.4 Order of pole (three term test) = -6011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = -0.02225022479896097 y[1] (numeric) = -0.0222502247989589 absolute error = 2.071259830316308e-15 relative error = 9.308938894015265e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 227.1 Order of pole (three term test) = -6005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999956 y[1] (analytic) = -0.02206230983021009 y[1] (numeric) = -0.02206230983020802 absolute error = 2.074729277268261e-15 relative error = 9.403953136526614e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226.9 Order of pole (three term test) = -6000 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999956 y[1] (analytic) = -0.02187593153032566 y[1] (numeric) = -0.02187593153032358 absolute error = 2.078198724220215e-15 relative error = 9.49993247756923e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226.9 Order of pole (three term test) = -5999 Radius of convergence (six term test) for eq 1 = 6328 Order of pole (six term test) = 3.034e+06 TOP MAIN SOLVE Loop x[1] = 4.109999999999956 y[1] (analytic) = -0.02169107792375969 y[1] (numeric) = -0.02169107792375762 absolute error = 2.078198724220215e-15 relative error = 9.580891883403473e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226.7 Order of pole (three term test) = -5993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999956 y[1] (analytic) = -0.02150773712114244 y[1] (numeric) = -0.02150773712114036 absolute error = 2.085137618124122e-15 relative error = 9.694825663804489e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.47 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226.6 Order of pole (three term test) = -5991 Radius of convergence (six term test) for eq 1 = 1510 Order of pole (six term test) = 1.725e+05 TOP MAIN SOLVE Loop x[1] = 4.129999999999955 y[1] (analytic) = -0.02132589731875307 y[1] (numeric) = -0.02132589731875098 absolute error = 2.088607065076076e-15 relative error = 9.793759361485087e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226.3 Order of pole (three term test) = -5983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999955 y[1] (analytic) = -0.02114554679799233 y[1] (numeric) = -0.02114554679799024 absolute error = 2.095545958979983e-15 relative error = 9.910105323826125e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226.2 Order of pole (three term test) = -5981 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999955 y[1] (analytic) = -0.02096667392485728 y[1] (numeric) = -0.02096667392485518 absolute error = 2.099015405931937e-15 relative error = 1.00111987883945e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 226 Order of pole (three term test) = -5977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999955 y[1] (analytic) = -0.02078926714941793 y[1] (numeric) = -0.02078926714941583 absolute error = 2.099015405931937e-15 relative error = 1.009663010651487e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 225.9 Order of pole (three term test) = -5974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999955 y[1] (analytic) = -0.02061331500529609 y[1] (numeric) = -0.02061331500529398 absolute error = 2.105954299835844e-15 relative error = 1.021647560955028e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 225.8 Order of pole (three term test) = -5972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999954 y[1] (analytic) = -0.02043880610914608 y[1] (numeric) = -0.02043880610914397 absolute error = 2.109423746787797e-15 relative error = 1.032067986517011e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 225.8 Order of pole (three term test) = -5970 Radius of convergence (six term test) for eq 1 = 1158 Order of pole (six term test) = 1.007e+05 TOP MAIN SOLVE Loop x[1] = 4.189999999999954 y[1] (analytic) = -0.02026572916013766 y[1] (numeric) = -0.02026572916013554 absolute error = 2.112893193739751e-15 relative error = 1.042594212645344e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 225.5 Order of pole (three term test) = -5963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999954 y[1] (analytic) = -0.02009407293944091 y[1] (numeric) = -0.0200940729394388 absolute error = 2.116362640691705e-15 relative error = 1.05322731089409e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 225.3 Order of pole (three term test) = -5959 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999954 y[1] (analytic) = -0.01992382630971331 y[1] (numeric) = -0.01992382630971119 absolute error = 2.119832087643658e-15 relative error = 1.063968363652213e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 225 Order of pole (three term test) = -5951 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = -0.01975497821458877 y[1] (numeric) = -0.01975497821458665 absolute error = 2.123301534595612e-15 relative error = 1.074818464253017e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224.9 Order of pole (three term test) = -5949 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999953 y[1] (analytic) = -0.01958751767816889 y[1] (numeric) = -0.01958751767816676 absolute error = 2.126770981547565e-15 relative error = 1.085778717084677e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224.9 Order of pole (three term test) = -5947 Radius of convergence (six term test) for eq 1 = 9448 Order of pole (six term test) = 6.632e+06 TOP MAIN SOLVE Loop x[1] = 4.239999999999953 y[1] (analytic) = -0.01942143380451623 y[1] (numeric) = -0.0194214338045141 absolute error = 2.133709875451473e-15 relative error = 1.098636638740495e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224.6 Order of pole (three term test) = -5940 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999953 y[1] (analytic) = -0.01925671577714977 y[1] (numeric) = -0.01925671577714763 absolute error = 2.137179322403426e-15 relative error = 1.109835834488156e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224.4 Order of pole (three term test) = -5937 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999953 y[1] (analytic) = -0.01909335285854244 y[1] (numeric) = -0.0190933528585403 absolute error = 2.137179322403426e-15 relative error = 1.119331601022208e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224.5 Order of pole (three term test) = -5937 Radius of convergence (six term test) for eq 1 = 1086 Order of pole (six term test) = 8.755e+04 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = -0.01893133438962083 y[1] (numeric) = -0.01893133438961869 absolute error = 2.144118216307334e-15 relative error = 1.132576379551382e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224.2 Order of pole (three term test) = -5931 Radius of convergence (six term test) for eq 1 = 1130 Order of pole (six term test) = 9.466e+04 TOP MAIN SOLVE Loop x[1] = 4.279999999999952 y[1] (analytic) = -0.01877064978926697 y[1] (numeric) = -0.01877064978926483 absolute error = 2.144118216307334e-15 relative error = 1.142271706296144e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 224 Order of pole (three term test) = -5925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999952 y[1] (analytic) = -0.01861128855382236 y[1] (numeric) = -0.01861128855382021 absolute error = 2.151057110211241e-15 relative error = 1.155780860626901e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 223.9 Order of pole (three term test) = -5924 Radius of convergence (six term test) for eq 1 = 6263 Order of pole (six term test) = 2.889e+06 TOP MAIN SOLVE Loop x[1] = 4.299999999999952 y[1] (analytic) = -0.01845324025659403 y[1] (numeric) = -0.01845324025659187 absolute error = 2.154526557163194e-15 relative error = 1.167560020464862e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 223.8 Order of pole (three term test) = -5920 Radius of convergence (six term test) for eq 1 = 1478 Order of pole (six term test) = 1.61e+05 TOP MAIN SOLVE Loop x[1] = 4.309999999999952 y[1] (analytic) = -0.01829649454736286 y[1] (numeric) = -0.01829649454736071 absolute error = 2.154526557163194e-15 relative error = 1.177562484215718e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 223.5 Order of pole (three term test) = -5912 Radius of convergence (six term test) for eq 1 = 3440 Order of pole (six term test) = 8.692e+05 TOP MAIN SOLVE Loop x[1] = 4.319999999999951 y[1] (analytic) = -0.01814104115189406 y[1] (numeric) = -0.0181410411518919 absolute error = 2.157996004115148e-15 relative error = 1.189565684817289e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 223.4 Order of pole (three term test) = -5910 Radius of convergence (six term test) for eq 1 = 4821 Order of pole (six term test) = 1.704e+06 TOP MAIN SOLVE Loop x[1] = 4.329999999999951 y[1] (analytic) = -0.01798686987144969 y[1] (numeric) = -0.01798686987144753 absolute error = 2.164934898019055e-15 relative error = 1.203619592231234e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 223.2 Order of pole (three term test) = -5906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999951 y[1] (analytic) = -0.01783397058230357 y[1] (numeric) = -0.0178339705823014 absolute error = 2.168404344971009e-15 relative error = 1.215884222172425e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 223.2 Order of pole (three term test) = -5905 Radius of convergence (six term test) for eq 1 = 1712 Order of pole (six term test) = 2.147e+05 TOP MAIN SOLVE Loop x[1] = 4.349999999999951 y[1] (analytic) = -0.01768233323525817 y[1] (numeric) = -0.01768233323525599 absolute error = 2.171873791922962e-15 relative error = 1.228273307049941e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.44 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 222.9 Order of pole (three term test) = -5897 Radius of convergence (six term test) for eq 1 = 3133 Order of pole (six term test) = 7.168e+05 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = -0.01753194785516381 y[1] (numeric) = -0.01753194785516164 absolute error = 2.175343238874916e-15 relative error = 1.240788106858415e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 222.6 Order of pole (three term test) = -5891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.36999999999995 y[1] (analytic) = -0.01738280454044003 y[1] (numeric) = -0.01738280454043785 absolute error = 2.17881268582687e-15 relative error = 1.253429894329189e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 222.6 Order of pole (three term test) = -5890 Radius of convergence (six term test) for eq 1 = 4172 Order of pole (six term test) = 1.267e+06 TOP MAIN SOLVE Loop x[1] = 4.37999999999995 y[1] (analytic) = -0.01723489346259909 y[1] (numeric) = -0.0172348934625969 absolute error = 2.185751579730777e-15 relative error = 1.268212991553449e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 222.6 Order of pole (three term test) = -5889 Radius of convergence (six term test) for eq 1 = 1761 Order of pole (six term test) = 2.259e+05 TOP MAIN SOLVE Loop x[1] = 4.38999999999995 y[1] (analytic) = -0.01708820486577174 y[1] (numeric) = -0.01708820486576955 absolute error = 2.189221026682731e-15 relative error = 1.281129904445267e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 222.3 Order of pole (three term test) = -5883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.39999999999995 y[1] (analytic) = -0.01694272906623518 y[1] (numeric) = -0.01694272906623299 absolute error = 2.192690473634684e-15 relative error = 1.294177853557519e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 222.1 Order of pole (three term test) = -5877 Radius of convergence (six term test) for eq 1 = 2181 Order of pole (six term test) = 3.45e+05 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = -0.01679845645194317 y[1] (numeric) = -0.01679845645194098 absolute error = 2.192690473634684e-15 relative error = 1.305292828485467e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 221.9 Order of pole (three term test) = -5871 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419999999999949 y[1] (analytic) = -0.01665537748205843 y[1] (numeric) = -0.01665537748205623 absolute error = 2.196159920586638e-15 relative error = 1.318589100098388e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 221.8 Order of pole (three term test) = -5869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999949 y[1] (analytic) = -0.01651348268648717 y[1] (numeric) = -0.01651348268648497 absolute error = 2.199629367538591e-15 relative error = 1.332020270526294e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 221.5 Order of pole (three term test) = -5862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439999999999949 y[1] (analytic) = -0.01637276266541589 y[1] (numeric) = -0.01637276266541369 absolute error = 2.203098814490545e-15 relative error = 1.345587705332186e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 221.5 Order of pole (three term test) = -5863 Radius of convergence (six term test) for eq 1 = 3060 Order of pole (six term test) = 6.752e+05 TOP MAIN SOLVE Loop x[1] = 4.449999999999949 y[1] (analytic) = -0.01623320808885038 y[1] (numeric) = -0.01623320808884818 absolute error = 2.206568261442499e-15 relative error = 1.359292783881738e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 221.3 Order of pole (three term test) = -5858 Radius of convergence (six term test) for eq 1 = 1772 Order of pole (six term test) = 2.262e+05 TOP MAIN SOLVE Loop x[1] = 4.459999999999948 y[1] (analytic) = -0.01609480969615691 y[1] (numeric) = -0.0160948096961547 absolute error = 2.206568261442499e-15 relative error = 1.370981268557266e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 221.2 Order of pole (three term test) = -5855 Radius of convergence (six term test) for eq 1 = 2822 Order of pole (six term test) = 5.725e+05 TOP MAIN SOLVE Loop x[1] = 4.469999999999948 y[1] (analytic) = -0.01595755829560567 y[1] (numeric) = -0.01595755829560346 absolute error = 2.210037708394452e-15 relative error = 1.384947287958863e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.9 Order of pole (three term test) = -5848 Radius of convergence (six term test) for eq 1 = 1168 Order of pole (six term test) = 9.817e+04 TOP MAIN SOLVE Loop x[1] = 4.479999999999948 y[1] (analytic) = -0.01582144476391639 y[1] (numeric) = -0.01582144476391417 absolute error = 2.213507155346406e-15 relative error = 1.399055009435486e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.7 Order of pole (three term test) = -5842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999948 y[1] (analytic) = -0.01568646004580625 y[1] (numeric) = -0.01568646004580403 absolute error = 2.216976602298359e-15 relative error = 1.413305867496258e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.6 Order of pole (three term test) = -5839 Radius of convergence (six term test) for eq 1 = 1785 Order of pole (six term test) = 2.281e+05 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = -0.01555259515353993 y[1] (numeric) = -0.01555259515353771 absolute error = 2.218711325774336e-15 relative error = 1.426585919501245e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.4 Order of pole (three term test) = -5834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999947 y[1] (analytic) = -0.01541984116648194 y[1] (numeric) = -0.01541984116647972 absolute error = 2.218711325774336e-15 relative error = 1.438867820893734e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.42 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.3 Order of pole (three term test) = -5832 Radius of convergence (six term test) for eq 1 = 7184 Order of pole (six term test) = 3.681e+06 TOP MAIN SOLVE Loop x[1] = 4.519999999999947 y[1] (analytic) = -0.01528818923065114 y[1] (numeric) = -0.01528818923064891 absolute error = 2.22218077272629e-15 relative error = 1.453527778339545e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.1 Order of pole (three term test) = -5826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999947 y[1] (analytic) = -0.01515763055827747 y[1] (numeric) = -0.01515763055827524 absolute error = 2.225650219678244e-15 relative error = 1.46833649964033e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 220.1 Order of pole (three term test) = -5828 Radius of convergence (six term test) for eq 1 = 1282 Order of pole (six term test) = 1.173e+05 TOP MAIN SOLVE Loop x[1] = 4.539999999999947 y[1] (analytic) = -0.01502815642736097 y[1] (numeric) = -0.01502815642735874 absolute error = 2.22738494315422e-15 relative error = 1.482141175413199e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 219.8 Order of pole (three term test) = -5818 Radius of convergence (six term test) for eq 1 = 3298 Order of pole (six term test) = 7.729e+05 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = -0.01489975818123293 y[1] (numeric) = -0.0148997581812307 absolute error = 2.230854390106174e-15 relative error = 1.497242010891196e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 219.7 Order of pole (three term test) = -5816 Radius of convergence (six term test) for eq 1 = 945.9 Order of pole (six term test) = 6.377e+04 TOP MAIN SOLVE Loop x[1] = 4.559999999999946 y[1] (analytic) = -0.01477242722811932 y[1] (numeric) = -0.01477242722811709 absolute error = 2.230854390106174e-15 relative error = 1.510147490088658e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 219.6 Order of pole (three term test) = -5815 Radius of convergence (six term test) for eq 1 = 1367 Order of pole (six term test) = 1.327e+05 TOP MAIN SOLVE Loop x[1] = 4.569999999999946 y[1] (analytic) = -0.01464615504070645 y[1] (numeric) = -0.01464615504070422 absolute error = 2.234323837058128e-15 relative error = 1.52553610886148e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 219.3 Order of pole (three term test) = -5805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999946 y[1] (analytic) = -0.01452093315570877 y[1] (numeric) = -0.01452093315570653 absolute error = 2.237793284010081e-15 relative error = 1.541080907138749e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 219.1 Order of pole (three term test) = -5802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999946 y[1] (analytic) = -0.014396753173439 y[1] (numeric) = -0.01439675317343675 absolute error = 2.241262730962035e-15 relative error = 1.556783466356156e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 219 Order of pole (three term test) = -5799 Radius of convergence (six term test) for eq 1 = 2138 Order of pole (six term test) = 3.227e+05 TOP MAIN SOLVE Loop x[1] = 4.599999999999945 y[1] (analytic) = -0.01427360675738036 y[1] (numeric) = -0.01427360675737811 absolute error = 2.242997454438012e-15 relative error = 1.571430047474329e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 218.7 Order of pole (three term test) = -5791 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999945 y[1] (analytic) = -0.01415148563376112 y[1] (numeric) = -0.01415148563375888 absolute error = 2.244732177913988e-15 relative error = 1.586216624888304e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 218.8 Order of pole (three term test) = -5793 Radius of convergence (six term test) for eq 1 = 2215 Order of pole (six term test) = 3.453e+05 TOP MAIN SOLVE Loop x[1] = 4.619999999999945 y[1] (analytic) = -0.01403038159113132 y[1] (numeric) = -0.01403038159112907 absolute error = 2.248201624865942e-15 relative error = 1.602380954689816e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 218.6 Order of pole (three term test) = -5788 Radius of convergence (six term test) for eq 1 = 1477 Order of pole (six term test) = 1.536e+05 TOP MAIN SOLVE Loop x[1] = 4.629999999999945 y[1] (analytic) = -0.01391028647994164 y[1] (numeric) = -0.01391028647993939 absolute error = 2.251671071817896e-15 relative error = 1.618709345105696e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 218.4 Order of pole (three term test) = -5782 Radius of convergence (six term test) for eq 1 = 1804 Order of pole (six term test) = 2.285e+05 TOP MAIN SOLVE Loop x[1] = 4.639999999999945 y[1] (analytic) = -0.0137911922121246 y[1] (numeric) = -0.01379119221212234 absolute error = 2.255140518769849e-15 relative error = 1.635203457455426e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 218.2 Order of pole (three term test) = -5777 Radius of convergence (six term test) for eq 1 = 1881 Order of pole (six term test) = 2.481e+05 TOP MAIN SOLVE Loop x[1] = 4.649999999999944 y[1] (analytic) = -0.01367309076067787 y[1] (numeric) = -0.01367309076067562 absolute error = 2.256875242245826e-15 relative error = 1.650596256360941e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 218.1 Order of pole (three term test) = -5776 Radius of convergence (six term test) for eq 1 = 975.3 Order of pole (six term test) = 6.682e+04 TOP MAIN SOLVE Loop x[1] = 4.659999999999944 y[1] (analytic) = -0.01355597415924984 y[1] (numeric) = -0.01355597415924758 absolute error = 2.258609965721803e-15 relative error = 1.666136228343763e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 217.9 Order of pole (three term test) = -5772 Radius of convergence (six term test) for eq 1 = 1470 Order of pole (six term test) = 1.512e+05 TOP MAIN SOLVE Loop x[1] = 4.669999999999944 y[1] (analytic) = -0.01343983450172733 y[1] (numeric) = -0.01343983450172507 absolute error = 2.262079412673756e-15 relative error = 1.683115526744787e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 217.7 Order of pole (three term test) = -5766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999944 y[1] (analytic) = -0.01332466394182561 y[1] (numeric) = -0.01332466394182335 absolute error = 2.263814136149733e-15 relative error = 1.698965276747961e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 217.5 Order of pole (three term test) = -5761 Radius of convergence (six term test) for eq 1 = 1697 Order of pole (six term test) = 2.009e+05 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = -0.01321045469268048 y[1] (numeric) = -0.01321045469267821 absolute error = 2.267283583101687e-15 relative error = 1.716279746493451e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 217.4 Order of pole (three term test) = -5757 Radius of convergence (six term test) for eq 1 = 1159 Order of pole (six term test) = 9.375e+04 TOP MAIN SOLVE Loop x[1] = 4.699999999999943 y[1] (analytic) = -0.01309719902644262 y[1] (numeric) = -0.01309719902644035 absolute error = 2.27075303005364e-15 relative error = 1.733769965218593e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 217.2 Order of pole (three term test) = -5753 Radius of convergence (six term test) for eq 1 = 1682 Order of pole (six term test) = 1.967e+05 TOP MAIN SOLVE Loop x[1] = 4.709999999999943 y[1] (analytic) = -0.01298488927387415 y[1] (numeric) = -0.01298488927387188 absolute error = 2.27075303005364e-15 relative error = 1.748765801663353e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 217 Order of pole (three term test) = -5749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999943 y[1] (analytic) = -0.01287351782394734 y[1] (numeric) = -0.01287351782394507 absolute error = 2.272487753529617e-15 relative error = 1.76524224738504e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216.7 Order of pole (three term test) = -5740 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999943 y[1] (analytic) = -0.01276307712344548 y[1] (numeric) = -0.0127630771234432 absolute error = 2.275957200481571e-15 relative error = 1.783235483471843e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.39 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216.8 Order of pole (three term test) = -5742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999942 y[1] (analytic) = -0.01265355967656595 y[1] (numeric) = -0.01265355967656368 absolute error = 2.277691923957548e-15 relative error = 1.80004044883573e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216.8 Order of pole (three term test) = -5741 Radius of convergence (six term test) for eq 1 = 1441 Order of pole (six term test) = 1.437e+05 TOP MAIN SOLVE Loop x[1] = 4.749999999999942 y[1] (analytic) = -0.01254495804452554 y[1] (numeric) = -0.01254495804452326 absolute error = 2.281161370909501e-15 relative error = 1.818388999638759e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216.4 Order of pole (three term test) = -5733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999942 y[1] (analytic) = -0.0124372648451678 y[1] (numeric) = -0.01243726484516552 absolute error = 2.281161370909501e-15 relative error = 1.834134272533234e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216.2 Order of pole (three term test) = -5727 Radius of convergence (six term test) for eq 1 = 1830 Order of pole (six term test) = 2.309e+05 TOP MAIN SOLVE Loop x[1] = 4.769999999999942 y[1] (analytic) = -0.01233047275257267 y[1] (numeric) = -0.01233047275257038 absolute error = 2.284630817861455e-15 relative error = 1.852833110056371e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216.2 Order of pole (three term test) = -5728 Radius of convergence (six term test) for eq 1 = 5855 Order of pole (six term test) = 2.359e+06 TOP MAIN SOLVE Loop x[1] = 4.779999999999942 y[1] (analytic) = -0.0122245744966682 y[1] (numeric) = -0.01222457449666591 absolute error = 2.286365541337432e-15 relative error = 1.87030275938077e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 216 Order of pole (three term test) = -5721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999941 y[1] (analytic) = -0.01211956286284452 y[1] (numeric) = -0.01211956286284223 absolute error = 2.289834988289385e-15 relative error = 1.889370940357456e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 215.8 Order of pole (three term test) = -5716 Radius of convergence (six term test) for eq 1 = 1234 Order of pole (six term test) = 1.048e+05 TOP MAIN SOLVE Loop x[1] = 4.799999999999941 y[1] (analytic) = -0.01201543069156985 y[1] (numeric) = -0.01201543069156756 absolute error = 2.293304435241339e-15 relative error = 1.908632735778955e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 215.6 Order of pole (three term test) = -5713 Radius of convergence (six term test) for eq 1 = 7340 Order of pole (six term test) = 3.691e+06 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (analytic) = -0.01191217087800875 y[1] (numeric) = -0.01191217087800645 absolute error = 2.293304435241339e-15 relative error = 1.925177584108574e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 215.4 Order of pole (three term test) = -5707 Radius of convergence (six term test) for eq 1 = 2361 Order of pole (six term test) = 3.816e+05 TOP MAIN SOLVE Loop x[1] = 4.819999999999941 y[1] (analytic) = -0.01180977637164244 y[1] (numeric) = -0.01180977637164015 absolute error = 2.295039158717316e-15 relative error = 1.943338371951012e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 215.2 Order of pole (three term test) = -5702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = -0.01170824017589137 y[1] (numeric) = -0.01170824017588907 absolute error = 2.298508605669269e-15 relative error = 1.963154642490309e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 215.2 Order of pole (three term test) = -5702 Radius of convergence (six term test) for eq 1 = 1622 Order of pole (six term test) = 1.797e+05 TOP MAIN SOLVE Loop x[1] = 4.83999999999994 y[1] (analytic) = -0.01160755534773977 y[1] (numeric) = -0.01160755534773747 absolute error = 2.300243329145246e-15 relative error = 1.981677674785459e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 215 Order of pole (three term test) = -5697 Radius of convergence (six term test) for eq 1 = 1708 Order of pole (six term test) = 1.989e+05 TOP MAIN SOLVE Loop x[1] = 4.84999999999994 y[1] (analytic) = -0.01150771499736248 y[1] (numeric) = -0.01150771499736018 absolute error = 2.3037127760972e-15 relative error = 2.001885497359989e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 214.8 Order of pole (three term test) = -5691 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.85999999999994 y[1] (analytic) = -0.01140871228775381 y[1] (numeric) = -0.0114087122877515 absolute error = 2.3037127760972e-15 relative error = 2.019257491987086e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 214.6 Order of pole (three term test) = -5687 Radius of convergence (six term test) for eq 1 = 2388 Order of pole (six term test) = 3.878e+05 TOP MAIN SOLVE Loop x[1] = 4.86999999999994 y[1] (analytic) = -0.01131054043435854 y[1] (numeric) = -0.01131054043435624 absolute error = 2.305447499573177e-15 relative error = 2.038317720495313e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.37 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 214.5 Order of pole (three term test) = -5685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.879999999999939 y[1] (analytic) = -0.01121319270470508 y[1] (numeric) = -0.01121319270470277 absolute error = 2.30891694652513e-15 relative error = 2.059107523904681e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 214.3 Order of pole (three term test) = -5680 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.889999999999939 y[1] (analytic) = -0.01111666241804063 y[1] (numeric) = -0.01111666241803832 absolute error = 2.312386393477084e-15 relative error = 2.080108495266022e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 214.1 Order of pole (three term test) = -5674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999939 y[1] (analytic) = -0.01102094294496861 y[1] (numeric) = -0.01102094294496629 absolute error = 2.314121116953061e-15 relative error = 2.099748749728831e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 214.1 Order of pole (three term test) = -5673 Radius of convergence (six term test) for eq 1 = 975.7 Order of pole (six term test) = 6.461e+04 TOP MAIN SOLVE Loop x[1] = 4.909999999999939 y[1] (analytic) = -0.01092602770708797 y[1] (numeric) = -0.01092602770708566 absolute error = 2.315855840429037e-15 relative error = 2.119577125844818e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 213.9 Order of pole (three term test) = -5669 Radius of convergence (six term test) for eq 1 = 1356 Order of pole (six term test) = 1.243e+05 TOP MAIN SOLVE Loop x[1] = 4.919999999999939 y[1] (analytic) = -0.01083191017663483 y[1] (numeric) = -0.01083191017663251 absolute error = 2.317590563905014e-15 relative error = 2.139595441720164e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 213.6 Order of pole (three term test) = -5661 Radius of convergence (six term test) for eq 1 = 1709 Order of pole (six term test) = 1.971e+05 TOP MAIN SOLVE Loop x[1] = 4.929999999999938 y[1] (analytic) = -0.01073858387612599 y[1] (numeric) = -0.01073858387612367 absolute error = 2.319325287380991e-15 relative error = 2.159805533146053e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 213.5 Order of pole (three term test) = -5658 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999938 y[1] (analytic) = -0.01064604237800467 y[1] (numeric) = -0.01064604237800235 absolute error = 2.321060010856968e-15 relative error = 2.180209253771534e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.36 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 213.3 Order of pole (three term test) = -5654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999938 y[1] (analytic) = -0.01055427930428823 y[1] (numeric) = -0.0105542793042859 absolute error = 2.324529457808922e-15 relative error = 2.202452096245416e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 213.2 Order of pole (three term test) = -5650 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999938 y[1] (analytic) = -0.01046328832621802 y[1] (numeric) = -0.01046328832621569 absolute error = 2.324529457808922e-15 relative error = 2.221605087555806e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 213 Order of pole (three term test) = -5645 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = -0.01037306316391125 y[1] (numeric) = -0.01037306316390893 absolute error = 2.326264181284898e-15 relative error = 2.242600998881569e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 212.9 Order of pole (three term test) = -5643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999937 y[1] (analytic) = -0.01028359758601495 y[1] (numeric) = -0.01028359758601262 absolute error = 2.327998904760875e-15 relative error = 2.263798136098604e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 212.7 Order of pole (three term test) = -5638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999937 y[1] (analytic) = -0.01019488540936191 y[1] (numeric) = -0.01019488540935958 absolute error = 2.329733628236852e-15 relative error = 2.285198444798084e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 212.5 Order of pole (three term test) = -5633 Radius of convergence (six term test) for eq 1 = 4337 Order of pole (six term test) = 1.256e+06 TOP MAIN SOLVE Loop x[1] = 4.999999999999937 y[1] (analytic) = -0.01010692049862875 y[1] (numeric) = -0.01010692049862642 absolute error = 2.333203075188806e-15 relative error = 2.308520261443988e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 212.3 Order of pole (three term test) = -5628 Radius of convergence (six term test) for eq 1 = 2305 Order of pole (six term test) = 3.544e+05 Finished! diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x); Iterations = 401 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.5 %