##############ECHO OF PROBLEM################# ##############temp/sub_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.1; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=30.0; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(2.0 - cos(x) - x); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 2.040816326530612e-17 est_needed_step_err = 2.040816326530612e-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 = 2.467208605532302e-183 estimated_step_error = 2.467208605532302e-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 = 1.655715664606566e-175 estimated_step_error = 1.655715664606566e-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 = 1.111131969458436e-167 estimated_step_error = 1.111131969458436e-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 = 7.456680367024187e-160 estimated_step_error = 7.456680367024187e-160 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 = 5.004093412037817e-152 estimated_step_error = 5.004093412037817e-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 = 3.358190142481625e-144 estimated_step_error = 3.358190142481625e-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 = 2.25364312158092e-136 estimated_step_error = 2.25364312158092e-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 = 1.512394117654307e-128 estimated_step_error = 1.512394117654307e-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 = 1.014950270158056e-120 estimated_step_error = 1.014950270158056e-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 = 6.811212724408108e-113 estimated_step_error = 6.811212724408108e-113 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 = 4.570923134360029e-105 estimated_step_error = 4.570923134360029e-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 = 3.067488750234037e-97 estimated_step_error = 3.067488750234037e-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 = 2.058549011618172e-89 estimated_step_error = 2.058549011618172e-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 = 1.381458319740679e-81 estimated_step_error = 1.381458319740679e-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 = 9.270668118451431e-74 estimated_step_error = 9.270668118451431e-74 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 = 6.221249002141342e-66 estimated_step_error = 6.221249002141342e-66 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 = 4.174750875751545e-58 estimated_step_error = 4.174750875751545e-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 = 2.801274758009003e-50 estimated_step_error = 2.801274758009003e-50 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.9049958347219743 y[1] (numeric) = 0.9049958347219743 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.8960439020433032 y[1] (numeric) = 0.8960439020433032 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1091 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.8871913641461339 y[1] (numeric) = 0.8871913641461338 absolute error = 1.110223024625157e-16 relative error = 1.25139070271911e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1189 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.8784381062852119 y[1] (numeric) = 0.878438106285212 absolute error = 1.110223024625157e-16 relative error = 1.263860272774515e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1285 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.8697840037873629 y[1] (numeric) = 0.8697840037873629 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1382 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.8612289220639576 y[1] (numeric) = 0.8612289220639577 absolute error = 1.110223024625157e-16 relative error = 1.289114887090041e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1478 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.8527727166243732 y[1] (numeric) = 0.852772716624373 absolute error = 1.110223024625157e-16 relative error = 1.301897918380736e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1573 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.8444152330904394 y[1] (numeric) = 0.8444152330904393 absolute error = 1.110223024625157e-16 relative error = 1.314783273818852e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1667 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.8361563072118786 y[1] (numeric) = 0.8361563072118786 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0.8279957648827295 y[1] (numeric) = 0.8279957648827297 absolute error = 2.220446049250313e-16 relative error = 2.681711843737267e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1855 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0.8199334221587583 y[1] (numeric) = 0.8199334221587584 absolute error = 1.110223024625157e-16 relative error = 1.354040455750798e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1947 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0.8119690852758515 y[1] (numeric) = 0.8119690852758518 absolute error = 2.220446049250313e-16 relative error = 2.734643583746735e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2039 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0.8041025506693945 y[1] (numeric) = 0.8041025506693945 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.213 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0.7963336049946251 y[1] (numeric) = 0.7963336049946251 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.222 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0.7886620251479705 y[1] (numeric) = 0.7886620251479703 absolute error = 1.110223024625157e-16 relative error = 1.407729786934846e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2309 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0.7810875782893553 y[1] (numeric) = 0.7810875782893552 absolute error = 1.110223024625157e-16 relative error = 1.421380976326156e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2397 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0.7736100218654866 y[1] (numeric) = 0.7736100218654867 absolute error = 1.110223024625157e-16 relative error = 1.43511975445711e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2484 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0.7662291036341092 y[1] (numeric) = 0.7662291036341093 absolute error = 1.110223024625157e-16 relative error = 1.448943950783827e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2571 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0.7589445616892291 y[1] (numeric) = 0.7589445616892289 absolute error = 2.220446049250313e-16 relative error = 2.925702562922555e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2656 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0.7517561244873029 y[1] (numeric) = 0.7517561244873027 absolute error = 2.220446049250313e-16 relative error = 2.953678695686923e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.274 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0.7446635108743939 y[1] (numeric) = 0.7446635108743939 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2823 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0.7376664301142865 y[1] (numeric) = 0.7376664301142865 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2905 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0.7307645819175589 y[1] (numeric) = 0.730764581917559 absolute error = 1.110223024625157e-16 relative error = 1.51926222493143e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2986 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0.7239576564716129 y[1] (numeric) = 0.7239576564716129 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3066 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0.7172453344716537 y[1] (numeric) = 0.7172453344716536 absolute error = 1.110223024625157e-16 relative error = 1.547898565897236e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3144 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0.7106272871526208 y[1] (numeric) = 0.7106272871526209 absolute error = 1.110223024625157e-16 relative error = 1.562314091643817e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3221 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0.704103176322065 y[1] (numeric) = 0.704103176322065 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3297 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0.6976726543939654 y[1] (numeric) = 0.6976726543939654 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3371 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0.6913353644234898 y[1] (numeric) = 0.6913353644234896 absolute error = 1.110223024625157e-16 relative error = 1.605910939549549e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3445 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0.6850909401426869 y[1] (numeric) = 0.6850909401426869 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3516 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0.6789390059971147 y[1] (numeric) = 0.6789390059971149 absolute error = 2.220446049250313e-16 relative error = 3.27046469511541e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3587 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0.6728791771833947 y[1] (numeric) = 0.6728791771833948 absolute error = 1.110223024625157e-16 relative error = 1.649958955889287e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3656 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0.6669110596876916 y[1] (numeric) = 0.6669110596876917 absolute error = 1.110223024625157e-16 relative error = 1.664724266448758e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3723 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0.6610342503251146 y[1] (numeric) = 0.6610342503251149 absolute error = 2.220446049250313e-16 relative error = 3.359048412632533e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3789 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0.6552483367800365 y[1] (numeric) = 0.6552483367800366 absolute error = 1.110223024625157e-16 relative error = 1.694354586355635e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3854 Order of pole (three term test) = 22.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0.6495528976473229 y[1] (numeric) = 0.649552897647323 absolute error = 1.110223024625157e-16 relative error = 1.709211102970025e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3917 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0.6439475024744746 y[1] (numeric) = 0.6439475024744747 absolute error = 1.110223024625157e-16 relative error = 1.724089340138662e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0.6384317118046708 y[1] (numeric) = 0.6384317118046711 absolute error = 2.220446049250313e-16 relative error = 3.477969543482925e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4038 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0.6330050772207155 y[1] (numeric) = 0.6330050772207159 absolute error = 3.33066907387547e-16 relative error = 5.261678292533088e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4096 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0.6276671413898783 y[1] (numeric) = 0.6276671413898786 absolute error = 2.220446049250313e-16 relative error = 3.537617158568243e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4152 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0.6224174381096271 y[1] (numeric) = 0.6224174381096274 absolute error = 2.220446049250313e-16 relative error = 3.567454755114402e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4207 Order of pole (three term test) = 22.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0.6172554923542485 y[1] (numeric) = 0.6172554923542488 absolute error = 3.33066907387547e-16 relative error = 5.395932665049449e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4261 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0.6121808203223499 y[1] (numeric) = 0.6121808203223502 absolute error = 3.33066907387547e-16 relative error = 5.440662241135998e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4312 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0.6071929294852388 y[1] (numeric) = 0.6071929294852391 absolute error = 2.220446049250313e-16 relative error = 3.656903665088369e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4362 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0.6022913186361757 y[1] (numeric) = 0.6022913186361759 absolute error = 2.220446049250313e-16 relative error = 3.686664543460922e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.441 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0.5974754779404939 y[1] (numeric) = 0.5974754779404943 absolute error = 3.33066907387547e-16 relative error = 5.574570332754628e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4456 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0.5927448889865837 y[1] (numeric) = 0.5927448889865838 absolute error = 1.110223024625157e-16 relative error = 1.87301998760935e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4501 Order of pole (three term test) = 22.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0.588099024837731 y[1] (numeric) = 0.5880990248377312 absolute error = 2.220446049250313e-16 relative error = 3.775632938454508e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4543 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0.583537350084813 y[1] (numeric) = 0.583537350084813 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4584 Order of pole (three term test) = 22.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0.5790593208998364 y[1] (numeric) = 0.5790593208998365 absolute error = 1.110223024625157e-16 relative error = 1.917287201076242e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4623 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0.5746643850903214 y[1] (numeric) = 0.5746643850903217 absolute error = 3.33066907387547e-16 relative error = 5.795850865809233e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.466 Order of pole (three term test) = 22.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0.5703519821545203 y[1] (numeric) = 0.5703519821545204 absolute error = 1.110223024625157e-16 relative error = 1.946557668531734e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4695 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0.5661215433374659 y[1] (numeric) = 0.566121543337466 absolute error = 1.110223024625157e-16 relative error = 1.961103649368367e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4729 Order of pole (three term test) = 22.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0.561972491687848 y[1] (numeric) = 0.561972491687848 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.476 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0.5579042421157073 y[1] (numeric) = 0.5579042421157073 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.479 Order of pole (three term test) = 22.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0.5539162014509439 y[1] (numeric) = 0.5539162014509441 absolute error = 2.220446049250313e-16 relative error = 4.008631708973331e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0.5500077685026349 y[1] (numeric) = 0.5500077685026349 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4844 Order of pole (three term test) = 22.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0.5461783341191505 y[1] (numeric) = 0.5461783341191507 absolute error = 2.220446049250313e-16 relative error = 4.065423160424953e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4867 Order of pole (three term test) = 22.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0.5424272812490719 y[1] (numeric) = 0.5424272812490721 absolute error = 2.220446049250313e-16 relative error = 4.093536822368504e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4889 Order of pole (three term test) = 22.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0.5387539850028932 y[1] (numeric) = 0.5387539850028935 absolute error = 3.33066907387547e-16 relative error = 6.182170650408429e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4909 Order of pole (three term test) = 22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0.5351578127155113 y[1] (numeric) = 0.5351578127155117 absolute error = 3.33066907387547e-16 relative error = 6.223713818125731e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0.5316381240094915 y[1] (numeric) = 0.531638124009492 absolute error = 4.440892098500626e-16 relative error = 8.353223551780762e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4943 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0.5281942708591049 y[1] (numeric) = 0.5281942708591052 absolute error = 3.33066907387547e-16 relative error = 6.305765241372565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4957 Order of pole (three term test) = 22.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0.5248255976551296 y[1] (numeric) = 0.5248255976551298 absolute error = 2.220446049250313e-16 relative error = 4.230826505359214e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4969 Order of pole (three term test) = 22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0.5215314412704118 y[1] (numeric) = 0.5215314412704123 absolute error = 4.440892098500626e-16 relative error = 8.515099468754833e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4979 Order of pole (three term test) = 22.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0.5183111311261789 y[1] (numeric) = 0.5183111311261793 absolute error = 4.440892098500626e-16 relative error = 8.56800448960361e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4987 Order of pole (three term test) = 22.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0.5151639892590946 y[1] (numeric) = 0.515163989259095 absolute error = 4.440892098500626e-16 relative error = 8.620346513131649e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 22.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0.5120893303890565 y[1] (numeric) = 0.5120893303890568 absolute error = 3.33066907387547e-16 relative error = 6.504078246162669e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0.5090864619877223 y[1] (numeric) = 0.5090864619877228 absolute error = 4.440892098500626e-16 relative error = 8.723257108745758e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 22.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0.5061546843477637 y[1] (numeric) = 0.506154684347764 absolute error = 3.33066907387547e-16 relative error = 6.580338337019255e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 22.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0.5032932906528346 y[1] (numeric) = 0.5032932906528347 absolute error = 1.110223024625157e-16 relative error = 2.205916600209508e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 22.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0.5005015670482528 y[1] (numeric) = 0.5005015670482531 absolute error = 3.33066907387547e-16 relative error = 6.654662628767281e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 22.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0.4977787927123863 y[1] (numeric) = 0.4977787927123866 absolute error = 2.220446049250313e-16 relative error = 4.460708414577384e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4988 Order of pole (three term test) = 22.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0.4951242399287329 y[1] (numeric) = 0.495124239928733 absolute error = 1.110223024625157e-16 relative error = 2.242311999883019e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.498 Order of pole (three term test) = 22.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0.4925371741586916 y[1] (numeric) = 0.492537174158692 absolute error = 3.885780586188048e-16 relative error = 7.889314330081571e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.497 Order of pole (three term test) = 22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0.4900168541150177 y[1] (numeric) = 0.4900168541150179 absolute error = 2.220446049250313e-16 relative error = 4.531366687908097e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4958 Order of pole (three term test) = 22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0.4875625318359479 y[1] (numeric) = 0.4875625318359483 absolute error = 3.885780586188048e-16 relative error = 7.969809680731398e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4944 Order of pole (three term test) = 22.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0.4851734527599988 y[1] (numeric) = 0.485173452759999 absolute error = 1.665334536937735e-16 relative error = 3.432451894192008e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4929 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0.4828488558014198 y[1] (numeric) = 0.48284885580142 absolute error = 1.665334536937735e-16 relative error = 3.44897687325707e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4911 Order of pole (three term test) = 22.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0.4805879734263029 y[1] (numeric) = 0.4805879734263033 absolute error = 3.885780586188048e-16 relative error = 8.085471965693964e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4891 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0.4783900317293354 y[1] (numeric) = 0.4783900317293357 absolute error = 3.33066907387547e-16 relative error = 6.962245977064805e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4869 Order of pole (three term test) = 22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0.4762542505111883 y[1] (numeric) = 0.4762542505111886 absolute error = 3.33066907387547e-16 relative error = 6.993468447369216e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4846 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0.4741798433565371 y[1] (numeric) = 0.4741798433565373 absolute error = 2.775557561562891e-16 relative error = 5.853385799606717e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.482 Order of pole (three term test) = 22.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0.4721660177127015 y[1] (numeric) = 0.4721660177127019 absolute error = 4.440892098500626e-16 relative error = 9.405361529433006e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4792 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0.4702119749689017 y[1] (numeric) = 0.4702119749689019 absolute error = 2.775557561562891e-16 relative error = 5.902779404430221e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4763 Order of pole (three term test) = 22.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0.4683169105361163 y[1] (numeric) = 0.4683169105361167 absolute error = 3.33066907387547e-16 relative error = 7.111998304871398e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4732 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0.4664800139275432 y[1] (numeric) = 0.4664800139275435 absolute error = 2.775557561562891e-16 relative error = 5.950003169897884e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4698 Order of pole (three term test) = 22.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0.4647004688396456 y[1] (numeric) = 0.4647004688396459 absolute error = 3.33066907387547e-16 relative error = 7.167346058832545e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4663 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0.4629774532337826 y[1] (numeric) = 0.4629774532337829 absolute error = 3.33066907387547e-16 relative error = 7.194020034046091e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4626 Order of pole (three term test) = 22.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0.4613101394184124 y[1] (numeric) = 0.4613101394184126 absolute error = 2.775557561562891e-16 relative error = 6.016684491396874e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4587 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0.45969769413186 y[1] (numeric) = 0.4596976941318605 absolute error = 4.996003610813204e-16 relative error = 1.08680197325074e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4546 Order of pole (three term test) = 22.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0.4581392786256444 y[1] (numeric) = 0.4581392786256447 absolute error = 3.33066907387547e-16 relative error = 7.269992400274049e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4504 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0.4566340487483502 y[1] (numeric) = 0.4566340487483506 absolute error = 3.885780586188048e-16 relative error = 8.509616391592146e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.446 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0.4551811550300444 y[1] (numeric) = 0.4551811550300449 absolute error = 4.440892098500626e-16 relative error = 9.756318005317033e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4414 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0.4537797427672217 y[1] (numeric) = 0.4537797427672218 absolute error = 1.665334536937735e-16 relative error = 3.66991820036359e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4366 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0.4524289521082729 y[1] (numeric) = 0.4524289521082732 absolute error = 2.775557561562891e-16 relative error = 6.134792100790798e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4316 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0.4511279181394723 y[1] (numeric) = 0.4511279181394727 absolute error = 3.885780586188048e-16 relative error = 8.613478416972426e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4265 Order of pole (three term test) = 22.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0.4498757709714658 y[1] (numeric) = 0.4498757709714661 absolute error = 3.33066907387547e-16 relative error = 7.403530682888728e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4212 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0.4486716358262599 y[1] (numeric) = 0.4486716358262602 absolute error = 3.33066907387547e-16 relative error = 7.423400116973768e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4157 Order of pole (three term test) = 22.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0.4475146331246991 y[1] (numeric) = 0.4475146331246994 absolute error = 3.33066907387547e-16 relative error = 7.442592548582395e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4101 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0.4464038785744224 y[1] (numeric) = 0.4464038785744229 absolute error = 4.996003610813204e-16 relative error = 1.119166712163836e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4042 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0.4453384832582929 y[1] (numeric) = 0.4453384832582934 absolute error = 4.996003610813204e-16 relative error = 1.121844125003578e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3983 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0.4443175537232877 y[1] (numeric) = 0.4443175537232881 absolute error = 3.885780586188048e-16 relative error = 8.74550319613984e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3922 Order of pole (three term test) = 22.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0.4433401920698425 y[1] (numeric) = 0.443340192069843 absolute error = 4.440892098500626e-16 relative error = 1.001689487652187e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3859 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0.4424054960416417 y[1] (numeric) = 0.4424054960416422 absolute error = 4.996003610813204e-16 relative error = 1.129281542728156e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3794 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0.4415125591158426 y[1] (numeric) = 0.441512559115843 absolute error = 3.33066907387547e-16 relative error = 7.543769718681048e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3729 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0.4406604705937267 y[1] (numeric) = 0.4406604705937271 absolute error = 3.885780586188048e-16 relative error = 8.818082958411306e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3661 Order of pole (three term test) = 22.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 0.4398483156917696 y[1] (numeric) = 0.43984831569177 absolute error = 3.885780586188048e-16 relative error = 8.834365047133811e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3592 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 0.4390751756331182 y[1] (numeric) = 0.4390751756331185 absolute error = 3.33066907387547e-16 relative error = 7.585646510470238e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3522 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 0.438340127739467 y[1] (numeric) = 0.4383401277394673 absolute error = 3.885780586188048e-16 relative error = 8.864761267071609e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.345 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 0.4376422455233264 y[1] (numeric) = 0.4376422455233267 absolute error = 2.775557561562891e-16 relative error = 6.342069555565685e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3377 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 0.4369805987806696 y[1] (numeric) = 0.4369805987806699 absolute error = 2.775557561562891e-16 relative error = 6.351672292334439e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3303 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 0.4363542536839529 y[1] (numeric) = 0.4363542536839533 absolute error = 3.885780586188048e-16 relative error = 8.905105320693128e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3227 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 0.4357622728754973 y[1] (numeric) = 0.4357622728754977 absolute error = 3.885780586188048e-16 relative error = 8.917202860510745e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.315 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 0.4352037155612238 y[1] (numeric) = 0.4352037155612241 absolute error = 2.220446049250313e-16 relative error = 5.102084310991927e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3072 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 0.4346776376047312 y[1] (numeric) = 0.4346776376047317 absolute error = 4.440892098500626e-16 relative error = 1.021651843644852e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2992 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 0.4341830916217106 y[1] (numeric) = 0.434183091621711 absolute error = 3.33066907387547e-16 relative error = 7.671116490131245e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2912 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 0.4337191270746812 y[1] (numeric) = 0.4337191270746816 absolute error = 3.885780586188048e-16 relative error = 8.959209644261235e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.283 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 0.4332847903680446 y[1] (numeric) = 0.4332847903680448 absolute error = 2.220446049250313e-16 relative error = 5.124680345608721e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2747 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 0.4328791249434423 y[1] (numeric) = 0.4328791249434427 absolute error = 3.885780586188048e-16 relative error = 8.97659499449354e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2663 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 0.4325011713754126 y[1] (numeric) = 0.4325011713754129 absolute error = 3.33066907387547e-16 relative error = 7.700948099824768e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2578 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 0.4321499674673304 y[1] (numeric) = 0.4321499674673306 absolute error = 2.775557561562891e-16 relative error = 6.422672152052674e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2491 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 0.4318245483476271 y[1] (numeric) = 0.4318245483476273 absolute error = 2.775557561562891e-16 relative error = 6.427512220376397e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2404 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 0.4315239465662768 y[1] (numeric) = 0.4315239465662771 absolute error = 2.775557561562891e-16 relative error = 6.431989658160488e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2316 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 0.4312471921915406 y[1] (numeric) = 0.4312471921915408 absolute error = 2.220446049250313e-16 relative error = 5.148893927787223e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2227 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 0.4309933129069583 y[1] (numeric) = 0.4309933129069587 absolute error = 4.440892098500626e-16 relative error = 1.030385383139184e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2137 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 0.4307613341085805 y[1] (numeric) = 0.430761334108581 absolute error = 4.440892098500626e-16 relative error = 1.030940278725487e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2046 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 0.4305502790024269 y[1] (numeric) = 0.4305502790024274 absolute error = 4.440892098500626e-16 relative error = 1.031445644116188e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1954 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 0.4303591687021655 y[1] (numeric) = 0.430359168702166 absolute error = 4.440892098500626e-16 relative error = 1.031903679871171e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1862 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 0.4301870223270006 y[1] (numeric) = 0.4301870223270008 absolute error = 2.775557561562891e-16 relative error = 6.451978831321161e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1769 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 0.4300328570997591 y[1] (numeric) = 0.4300328570997594 absolute error = 2.220446049250313e-16 relative error = 5.163433473957115e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1675 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 0.4298956884451688 y[1] (numeric) = 0.4298956884451691 absolute error = 3.33066907387547e-16 relative error = 7.747621489114518e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.158 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 0.4297745300883142 y[1] (numeric) = 0.4297745300883146 absolute error = 3.33066907387547e-16 relative error = 7.749805632248732e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1485 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 0.4296683941532633 y[1] (numeric) = 0.4296683941532637 absolute error = 3.885780586188048e-16 relative error = 9.04367330495802e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1389 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 0.4295762912618546 y[1] (numeric) = 0.4295762912618549 absolute error = 2.775557561562891e-16 relative error = 6.461151646451106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1293 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 0.4294972306326335 y[1] (numeric) = 0.4294972306326338 absolute error = 3.33066907387547e-16 relative error = 7.754809196253764e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1196 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 0.4294302201799305 y[1] (numeric) = 0.4294302201799308 absolute error = 3.33066907387547e-16 relative error = 7.75601929570752e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1099 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 0.4293742666130682 y[1] (numeric) = 0.4293742666130687 absolute error = 4.440892098500626e-16 relative error = 1.034270668694393e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1001 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 0.4293283755356903 y[1] (numeric) = 0.4293283755356907 absolute error = 4.440892098500626e-16 relative error = 1.034381222289244e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0903 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 0.4292915515451994 y[1] (numeric) = 0.4292915515451998 absolute error = 3.885780586188048e-16 relative error = 9.051612062248843e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08045 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 0.4292627983322972 y[1] (numeric) = 0.4292627983322975 absolute error = 2.775557561562891e-16 relative error = 6.465870260236948e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07056 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 0.429241118780614 y[1] (numeric) = 0.4292411187806145 absolute error = 4.996003610813204e-16 relative error = 1.163915429399175e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06065 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 0.4292255150664208 y[1] (numeric) = 0.4292255150664212 absolute error = 3.885780586188048e-16 relative error = 9.053004655575379e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05071 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 0.4292149887584089 y[1] (numeric) = 0.4292149887584094 absolute error = 4.440892098500626e-16 relative error = 1.034654477316089e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04075 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 0.4292085409175339 y[1] (numeric) = 0.4292085409175342 absolute error = 3.33066907387547e-16 relative error = 7.760025154101975e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03078 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 0.4292051721969075 y[1] (numeric) = 0.4292051721969079 absolute error = 4.440892098500626e-16 relative error = 1.034678141404891e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02079 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 0.4292038829417326 y[1] (numeric) = 0.429203882941733 absolute error = 3.33066907387547e-16 relative error = 7.760109370510124e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0108 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 0.4292036732892668 y[1] (numeric) = 0.4292036732892671 absolute error = 2.775557561562891e-16 relative error = 6.466760967565793e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0007963 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 0.4292035432688082 y[1] (numeric) = 0.4292035432688087 absolute error = 4.996003610813204e-16 relative error = 1.164017326782466e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009203 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 0.4292024929016924 y[1] (numeric) = 0.429202492901693 absolute error = 5.551115123125783e-16 relative error = 1.293355750474928e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0192 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 0.4291995223012888 y[1] (numeric) = 0.4291995223012892 absolute error = 3.885780586188048e-16 relative error = 9.05355291486162e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02919 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 0.4291936317729874 y[1] (numeric) = 0.429193631772988 absolute error = 6.106226635438361e-16 relative error = 1.422720698397528e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03916 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 0.4291838219141704 y[1] (numeric) = 0.4291838219141709 absolute error = 4.996003610813204e-16 relative error = 1.164070814349643e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04912 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 0.4291690937141484 y[1] (numeric) = 0.4291690937141487 absolute error = 3.33066907387547e-16 relative error = 7.760738419094758e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05907 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 0.4291484486540622 y[1] (numeric) = 0.4291484486540625 absolute error = 2.775557561562891e-16 relative error = 6.467593137684336e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06898 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 0.4291208888067342 y[1] (numeric) = 0.4291208888067344 absolute error = 2.220446049250313e-16 relative error = 5.174406809756467e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07887 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 0.4290854169364591 y[1] (numeric) = 0.4290854169364595 absolute error = 3.885780586188048e-16 relative error = 9.055960498334699e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08873 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 0.4290410365987283 y[1] (numeric) = 0.4290410365987285 absolute error = 2.220446049250313e-16 relative error = 5.175369859380241e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09855 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 0.4289867522398711 y[1] (numeric) = 0.4289867522398716 absolute error = 4.440892098500626e-16 relative error = 1.035204951041814e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1083 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 0.4289215692966124 y[1] (numeric) = 0.4289215692966127 absolute error = 2.775557561562891e-16 relative error = 6.471014190576898e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1181 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 0.4288444942955245 y[1] (numeric) = 0.4288444942955251 absolute error = 5.551115123125783e-16 relative error = 1.294435441510043e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1278 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 0.4287545349523776 y[1] (numeric) = 0.428754534952378 absolute error = 3.885780586188048e-16 relative error = 9.062949238821806e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1374 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 0.4286507002713635 y[1] (numeric) = 0.428650700271364 absolute error = 4.996003610813204e-16 relative error = 1.165518593029339e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.147 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 0.4285320006441977 y[1] (numeric) = 0.4285320006441982 absolute error = 4.440892098500626e-16 relative error = 1.036303494680627e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1565 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 0.4283974479490771 y[1] (numeric) = 0.4283974479490774 absolute error = 3.33066907387547e-16 relative error = 7.774717356092609e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.166 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 0.4282460556494923 y[1] (numeric) = 0.4282460556494925 absolute error = 2.220446049250313e-16 relative error = 5.184977234367542e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1754 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 0.4280768388928802 y[1] (numeric) = 0.4280768388928805 absolute error = 3.33066907387547e-16 relative error = 7.780540247142218e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1847 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 0.4278888146091089 y[1] (numeric) = 0.4278888146091094 absolute error = 4.996003610813204e-16 relative error = 1.167593879586973e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.194 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 0.4276810016087838 y[1] (numeric) = 0.4276810016087841 absolute error = 3.885780586188048e-16 relative error = 9.085698386346656e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2032 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 0.4274524206813646 y[1] (numeric) = 0.427452420681365 absolute error = 3.885780586188048e-16 relative error = 9.090556979403847e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2122 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 0.4272020946930868 y[1] (numeric) = 0.4272020946930874 absolute error = 6.106226635438361e-16 relative error = 1.429353158913051e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2213 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 0.4269290486846744 y[1] (numeric) = 0.426929048684675 absolute error = 5.551115123125783e-16 relative error = 1.300243012329147e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2302 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 0.4266323099688341 y[1] (numeric) = 0.4266323099688343 absolute error = 2.220446049250313e-16 relative error = 5.204589519749498e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.239 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 0.4263109082275225 y[1] (numeric) = 0.4263109082275229 absolute error = 4.440892098500626e-16 relative error = 1.041702666479864e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2477 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 0.4259638756089801 y[1] (numeric) = 0.4259638756089806 absolute error = 4.996003610813204e-16 relative error = 1.172870258932323e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2564 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 0.425590246824513 y[1] (numeric) = 0.4255902468245131 absolute error = 1.665334536937735e-16 relative error = 3.912999767648378e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2649 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 0.4251890592450207 y[1] (numeric) = 0.425189059245021 absolute error = 3.33066907387547e-16 relative error = 7.833383765305515e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2733 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 0.4247593529972606 y[1] (numeric) = 0.4247593529972612 absolute error = 5.551115123125783e-16 relative error = 1.306884729895891e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2817 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 0.4243001710598333 y[1] (numeric) = 0.4243001710598336 absolute error = 2.775557561562891e-16 relative error = 6.541495268856471e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2899 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 0.4238105593588823 y[1] (numeric) = 0.4238105593588826 absolute error = 2.775557561562891e-16 relative error = 6.5490524015296e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.298 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 0.4232895668635035 y[1] (numeric) = 0.4232895668635037 absolute error = 2.220446049250313e-16 relative error = 5.245690475443094e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3059 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 0.422736245680845 y[1] (numeric) = 0.4227362456808455 absolute error = 4.996003610813204e-16 relative error = 1.181825230710181e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3138 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 0.422149651150898 y[1] (numeric) = 0.4221496511508985 absolute error = 4.996003610813204e-16 relative error = 1.183467426111262e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3215 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 0.42152884194096 y[1] (numeric) = 0.4215288419409601 absolute error = 1.665334536937735e-16 relative error = 3.950701283616992e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3291 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0.4208728801397672 y[1] (numeric) = 0.4208728801397674 absolute error = 2.220446049250313e-16 relative error = 5.275811661974817e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3366 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0.4201808313512867 y[1] (numeric) = 0.4201808313512871 absolute error = 4.440892098500626e-16 relative error = 1.056900212277384e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3439 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0.4194517647881544 y[1] (numeric) = 0.4194517647881547 absolute error = 3.33066907387547e-16 relative error = 7.940529408804934e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3511 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0.4186847533647517 y[1] (numeric) = 0.4186847533647522 absolute error = 4.996003610813204e-16 relative error = 1.193261414623513e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3581 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0.4178788737899157 y[1] (numeric) = 0.4178788737899162 absolute error = 4.440892098500626e-16 relative error = 1.062722328655753e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.365 Order of pole (three term test) = 22.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0.4170332066592652 y[1] (numeric) = 0.4170332066592657 absolute error = 4.996003610813204e-16 relative error = 1.197987002242525e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3718 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 0.4161468365471421 y[1] (numeric) = 0.4161468365471426 absolute error = 4.440892098500626e-16 relative error = 1.067145466092604e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3784 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 0.4152188520981523 y[1] (numeric) = 0.4152188520981526 absolute error = 2.220446049250313e-16 relative error = 5.347652299576775e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3849 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 0.4142483461183004 y[1] (numeric) = 0.4142483461183006 absolute error = 2.220446049250313e-16 relative error = 5.360180843344155e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3912 Order of pole (three term test) = 22.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 0.4132344156657091 y[1] (numeric) = 0.4132344156657093 absolute error = 2.220446049250313e-16 relative error = 5.373332822904493e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3973 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0.4121761621409119 y[1] (numeric) = 0.4121761621409121 absolute error = 2.220446049250313e-16 relative error = 5.387128740577682e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4033 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0.4110726913767127 y[1] (numeric) = 0.4110726913767131 absolute error = 4.440892098500626e-16 relative error = 1.080317956327323e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4091 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0.409923113727602 y[1] (numeric) = 0.4099231137276024 absolute error = 3.33066907387547e-16 relative error = 8.125106787924948e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4148 Order of pole (three term test) = 22.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0.40872654415872 y[1] (numeric) = 0.4087265441587202 absolute error = 1.665334536937735e-16 relative error = 4.074446743764796e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4203 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 0.4074821023343596 y[1] (numeric) = 0.4074821023343596 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4256 Order of pole (three term test) = 22.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 0.406188912705999 y[1] (numeric) = 0.4061889127059992 absolute error = 2.220446049250313e-16 relative error = 5.466535347944073e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4308 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 0.4048461045998577 y[1] (numeric) = 0.4048461045998576 absolute error = 5.551115123125783e-17 relative error = 1.371166737200646e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4358 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 0.4034528123039598 y[1] (numeric) = 0.4034528123039598 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4406 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 0.4020081751547075 y[1] (numeric) = 0.4020081751547075 absolute error = 5.551115123125783e-17 relative error = 1.380846327562744e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4452 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0.400511337622945 y[1] (numeric) = 0.4005113376229451 absolute error = 5.551115123125783e-17 relative error = 1.386006986986169e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4497 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 0.3989614493995117 y[1] (numeric) = 0.3989614493995116 absolute error = 1.110223024625157e-16 relative error = 2.782782713207466e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.454 Order of pole (three term test) = 22.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 0.3973576654802713 y[1] (numeric) = 0.3973576654802713 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4581 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 0.395699146250613 y[1] (numeric) = 0.3956991462506128 absolute error = 1.665334536937735e-16 relative error = 4.20858764219574e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.462 Order of pole (three term test) = 22.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 0.3939850575694104 y[1] (numeric) = 0.3939850575694103 absolute error = 5.551115123125783e-17 relative error = 1.408965902760872e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4657 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 0.3922145708524369 y[1] (numeric) = 0.3922145708524369 absolute error = 5.551115123125783e-17 relative error = 1.415326083133786e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4693 Order of pole (three term test) = 22.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 0.3903868631552223 y[1] (numeric) = 0.3903868631552221 absolute error = 2.220446049250313e-16 relative error = 5.687809347128154e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4726 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 0.3885011172553461 y[1] (numeric) = 0.3885011172553459 absolute error = 1.665334536937735e-16 relative error = 4.28656305727733e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4758 Order of pole (three term test) = 22.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 0.3865565217341604 y[1] (numeric) = 0.3865565217341602 absolute error = 2.775557561562891e-16 relative error = 7.180211445175605e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4788 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 0.3845522710579301 y[1] (numeric) = 0.3845522710579298 absolute error = 3.33066907387547e-16 relative error = 8.661160847425415e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4816 Order of pole (three term test) = 22.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 0.3824875656583857 y[1] (numeric) = 0.3824875656583855 absolute error = 2.220446049250313e-16 relative error = 5.8052764288643e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4842 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 0.3803616120126807 y[1] (numeric) = 0.3803616120126799 absolute error = 7.771561172376096e-16 relative error = 2.043203343064232e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4866 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 0.3781736227227399 y[1] (numeric) = 0.3781736227227394 absolute error = 4.996003610813204e-16 relative error = 1.321087275956328e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4888 Order of pole (three term test) = 22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 0.3759228165940036 y[1] (numeric) = 0.3759228165940029 absolute error = 7.216449660063518e-16 relative error = 1.919662585380466e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4908 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0.3736084187135416 y[1] (numeric) = 0.3736084187135409 absolute error = 6.661338147750939e-16 relative error = 1.782973245273259e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4926 Order of pole (three term test) = 22.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 0.3712296605275469 y[1] (numeric) = 0.3712296605275461 absolute error = 8.326672684688674e-16 relative error = 2.242997683120419e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4942 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 0.3687857799181891 y[1] (numeric) = 0.3687857799181881 absolute error = 9.436895709313831e-16 relative error = 2.558909866700202e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4956 Order of pole (three term test) = 22.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 0.3662760212798255 y[1] (numeric) = 0.3662760212798247 absolute error = 8.326672684688674e-16 relative error = 2.273332732946585e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4968 Order of pole (three term test) = 22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 0.3636996355945623 y[1] (numeric) = 0.3636996355945614 absolute error = 9.436895709313831e-16 relative error = 2.594694848645298e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4979 Order of pole (three term test) = 22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0.3610558805071542 y[1] (numeric) = 0.3610558805071531 absolute error = 1.054711873393899e-15 relative error = 2.921187357237905e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4987 Order of pole (three term test) = 22.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 0.3583440203992398 y[1] (numeric) = 0.3583440203992388 absolute error = 9.992007221626409e-16 relative error = 2.788383969821533e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4993 Order of pole (three term test) = 22.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 0.3555633264629039 y[1] (numeric) = 0.3555633264629027 absolute error = 1.165734175856414e-15 relative error = 3.278555714541714e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4997 Order of pole (three term test) = 22.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 0.3527130767735556 y[1] (numeric) = 0.3527130767735545 absolute error = 1.054711873393899e-15 relative error = 2.9902828753668e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 22.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 0.3497925563621225 y[1] (numeric) = 0.3497925563621212 absolute error = 1.27675647831893e-15 relative error = 3.650039016259594e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 22.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 0.346801057286545 y[1] (numeric) = 0.3468010572865435 absolute error = 1.443289932012704e-15 relative error = 4.161722986963626e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 22.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 0.3437378787025707 y[1] (numeric) = 0.3437378787025694 absolute error = 1.221245327087672e-15 relative error = 3.552838958852104e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 0.3406023269338392 y[1] (numeric) = 0.340602326933838 absolute error = 1.221245327087672e-15 relative error = 3.58554604744346e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4989 Order of pole (three term test) = 22.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 0.3373937155412476 y[1] (numeric) = 0.3373937155412464 absolute error = 1.27675647831893e-15 relative error = 3.784173858338632e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4981 Order of pole (three term test) = 22.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0.3341113653915948 y[1] (numeric) = 0.3341113653915934 absolute error = 1.443289932012704e-15 relative error = 4.319786997730824e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4971 Order of pole (three term test) = 22.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 0.3307546047254935 y[1] (numeric) = 0.330754604725492 absolute error = 1.498801083243961e-15 relative error = 4.531459462183079e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4959 Order of pole (three term test) = 22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 0.3273227692245464 y[1] (numeric) = 0.3273227692245447 absolute error = 1.665334536937735e-15 relative error = 5.08774424976009e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4946 Order of pole (three term test) = 22.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 0.3238152020777769 y[1] (numeric) = 0.3238152020777753 absolute error = 1.665334536937735e-15 relative error = 5.142854709266366e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.493 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 0.3202312540473105 y[1] (numeric) = 0.3202312540473086 absolute error = 1.887379141862766e-15 relative error = 5.893800551972131e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4912 Order of pole (three term test) = 22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 0.3165702835332964 y[1] (numeric) = 0.3165702835332944 absolute error = 2.05391259555654e-15 relative error = 6.488014518079401e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4893 Order of pole (three term test) = 22.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 0.3128316566380684 y[1] (numeric) = 0.3128316566380666 absolute error = 1.887379141862766e-15 relative error = 6.033210200482924e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4871 Order of pole (three term test) = 22.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 0.3090147472295346 y[1] (numeric) = 0.3090147472295325 absolute error = 2.05391259555654e-15 relative error = 6.646649112933448e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4848 Order of pole (three term test) = 22.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 0.3051189370037877 y[1] (numeric) = 0.3051189370037856 absolute error = 2.05391259555654e-15 relative error = 6.731514653680911e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4822 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 0.3011436155469376 y[1] (numeric) = 0.3011436155469353 absolute error = 2.331468351712829e-15 relative error = 7.742048083863281e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4795 Order of pole (three term test) = 22.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 0.29708818039615 y[1] (numeric) = 0.2970881803961476 absolute error = 2.386979502944087e-15 relative error = 8.034582526175179e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4765 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 0.2929520370998939 y[1] (numeric) = 0.2929520370998916 absolute error = 2.275957200481571e-15 relative error = 7.76904377594579e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4734 Order of pole (three term test) = 22.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 0.2887345992773862 y[1] (numeric) = 0.2887345992773835 absolute error = 2.720046410331634e-15 relative error = 9.420576602662349e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4701 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 0.2844352886772268 y[1] (numeric) = 0.2844352886772241 absolute error = 2.664535259100376e-15 relative error = 9.367808303575346e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4666 Order of pole (three term test) = 22.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 0.2800535352352269 y[1] (numeric) = 0.2800535352352241 absolute error = 2.775557561562891e-15 relative error = 9.910810657082411e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4629 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 0.2755887771314125 y[1] (numeric) = 0.2755887771314096 absolute error = 2.886579864025407e-15 relative error = 1.047422864628832e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.459 Order of pole (three term test) = 22.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 0.2710404608462063 y[1] (numeric) = 0.2710404608462036 absolute error = 2.664535259100376e-15 relative error = 9.830765675285234e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.455 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 0.2664080412157808 y[1] (numeric) = 0.2664080412157777 absolute error = 3.05311331771918e-15 relative error = 1.146028965111556e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4507 Order of pole (three term test) = 22.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 0.2616909814865709 y[1] (numeric) = 0.2616909814865679 absolute error = 2.942091015256665e-15 relative error = 1.124261523474642e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4463 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 0.2568887533689526 y[1] (numeric) = 0.2568887533689496 absolute error = 2.942091015256665e-15 relative error = 1.145278248530846e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4417 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 0.2520008370900695 y[1] (numeric) = 0.252000837090066 absolute error = 3.497202527569243e-15 relative error = 1.387774170892647e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.437 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 0.2470267214458084 y[1] (numeric) = 0.247026721445805 absolute error = 3.413935800722356e-15 relative error = 1.382010731770688e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.432 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 0.2419659038519226 y[1] (numeric) = 0.2419659038519193 absolute error = 3.358424649491099e-15 relative error = 1.387974336891025e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4269 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 0.2368178903942879 y[1] (numeric) = 0.2368178903942842 absolute error = 3.719247132494274e-15 relative error = 1.570509359027709e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4216 Order of pole (three term test) = 22.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 0.2315821958782927 y[1] (numeric) = 0.2315821958782888 absolute error = 3.83026943495679e-15 relative error = 1.653956782139581e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4161 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 0.2262583438773587 y[1] (numeric) = 0.226258343877355 absolute error = 3.635980405647388e-15 relative error = 1.607003897994692e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4105 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 0.2208458667805835 y[1] (numeric) = 0.2208458667805796 absolute error = 3.858025010572419e-15 relative error = 1.746931045988501e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4047 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 0.215344305839499 y[1] (numeric) = 0.2153443058394953 absolute error = 3.774758283725532e-15 relative error = 1.752894402761197e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3988 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 0.2097532112139491 y[1] (numeric) = 0.2097532112139447 absolute error = 4.357625371653739e-15 relative error = 2.07750114834187e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3927 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 0.2040721420170688 y[1] (numeric) = 0.2040721420170646 absolute error = 4.163336342344337e-15 relative error = 2.04012968217686e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3864 Order of pole (three term test) = 22.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 0.198300666359378 y[1] (numeric) = 0.1983006663593738 absolute error = 4.246603069191224e-15 relative error = 2.141497125125719e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.38 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 0.1924383613919662 y[1] (numeric) = 0.1924383613919617 absolute error = 4.524158825347513e-15 relative error = 2.350965157166623e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3734 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 0.1864848133487778 y[1] (numeric) = 0.1864848133487732 absolute error = 4.551914400963142e-15 relative error = 2.440903534836273e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3667 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 0.1804396175879894 y[1] (numeric) = 0.1804396175879846 absolute error = 4.829470157119431e-15 relative error = 2.676502101742923e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3598 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 0.1743023786324724 y[1] (numeric) = 0.1743023786324677 absolute error = 4.773959005888173e-15 relative error = 2.738894926932906e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3528 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 0.168072710209342 y[1] (numeric) = 0.1680727102093369 absolute error = 5.079270337660091e-15 relative error = 3.022067253710394e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3456 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 0.1617502352885816 y[1] (numeric) = 0.1617502352885766 absolute error = 4.996003610813204e-15 relative error = 3.088714895468153e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3383 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 0.1553345861207487 y[1] (numeric) = 0.1553345861207433 absolute error = 5.35682609381638e-15 relative error = 3.448572676308079e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3309 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 0.1488254042737465 y[1] (numeric) = 0.1488254042737409 absolute error = 5.578870698741412e-15 relative error = 3.748601071144916e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3233 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 0.1422223406686687 y[1] (numeric) = 0.142222340668663 absolute error = 5.689893001203927e-15 relative error = 4.000702684579991e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3156 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 0.1355250556147065 y[1] (numeric) = 0.1355250556147009 absolute error = 5.634381849972669e-15 relative error = 4.157446624475876e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3078 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 0.1287332188431183 y[1] (numeric) = 0.1287332188431122 absolute error = 6.050715484207103e-15 relative error = 4.700197461527668e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2999 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 0.1218465095402537 y[1] (numeric) = 0.1218465095402476 absolute error = 6.022959908591474e-15 relative error = 4.94307135371958e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2918 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 0.1148646163796383 y[1] (numeric) = 0.1148646163796318 absolute error = 6.467049118441537e-15 relative error = 5.630149059190983e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2836 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 0.1077872375531022 y[1] (numeric) = 0.1077872375530959 absolute error = 6.245004513516506e-15 relative error = 5.793825554198714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2753 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 0.1006140808009648 y[1] (numeric) = 0.1006140808009581 absolute error = 6.730727086790012e-15 relative error = 6.689647247391511e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2669 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 0.09334486344125592 y[1] (numeric) = 0.09334486344124918 absolute error = 6.744604874597826e-15 relative error = 7.225469753718545e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2584 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 0.08597931239798795 y[1] (numeric) = 0.08597931239798089 absolute error = 7.063793994177558e-15 relative error = 8.215690259861699e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2498 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 0.07851716422845989 y[1] (numeric) = 0.07851716422845287 absolute error = 7.022160630754115e-15 relative error = 8.943472041758754e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2411 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 0.07095816514960385 y[1] (numeric) = 0.07095816514959696 absolute error = 6.883382752675971e-15 relative error = 9.700621116912293e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2323 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 0.0633020710633625 y[1] (numeric) = 0.06330207106335521 absolute error = 7.28583859910259e-15 relative error = 1.150963700983779e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2234 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 0.05554864758109668 y[1] (numeric) = 0.05554864758108947 absolute error = 7.202571872255703e-15 relative error = 1.296624163844946e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2144 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 0.04769767004702752 y[1] (numeric) = 0.04769767004702013 absolute error = 7.389922007661198e-15 relative error = 1.549325575101489e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2053 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 0.03974892356069937 y[1] (numeric) = 0.03974892356069143 absolute error = 7.938094626069869e-15 relative error = 1.997059018201549e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1962 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 0.03170220299846926 y[1] (numeric) = 0.03170220299846137 absolute error = 7.889522368742519e-15 relative error = 2.488635369953143e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1869 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 0.02355731303402209 y[1] (numeric) = 0.02355731303401392 absolute error = 8.163608677946854e-15 relative error = 3.465424374230099e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1776 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 0.01531406815789982 y[1] (numeric) = 0.01531406815789143 absolute error = 8.383918559395909e-15 relative error = 5.474651459658702e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1682 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 0.006972292696053817 y[1] (numeric) = 0.00697229269604548 absolute error = 8.337081025544535e-15 relative error = 1.195744554766492e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1588 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = -0.001468179172587458 y[1] (numeric) = -0.001468179172595908 absolute error = 8.449838051483027e-15 relative error = 5.75531802197642e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1493 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = -0.01000750339953749 y[1] (numeric) = -0.01000750339954626 absolute error = 8.77423134149069e-15 relative error = 8.767652621428243e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1397 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = -0.01864582605115661 y[1] (numeric) = -0.01864582605116566 absolute error = 9.048317650695026e-15 relative error = 4.852730914613329e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1301 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = -0.02738328329404505 y[1] (numeric) = -0.02738328329405421 absolute error = 9.166278847061449e-15 relative error = 3.347399487721332e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1204 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = -0.03622000138142623 y[1] (numeric) = -0.03622000138143552 absolute error = 9.291178937331779e-15 relative error = 2.565206676688957e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1107 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = -0.04515609664052178 y[1] (numeric) = -0.04515609664053143 absolute error = 9.652001420334955e-15 relative error = 2.137474701848681e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1009 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = -0.05419167546091952 y[1] (numeric) = -0.05419167546092947 absolute error = 9.950373858202965e-15 relative error = 1.836144347553658e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09108 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = -0.06332683428393393 y[1] (numeric) = -0.06332683428394391 absolute error = 9.978129433818594e-15 relative error = 1.575655809523082e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08123 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = -0.07256165959296146 y[1] (numeric) = -0.07256165959297174 absolute error = 1.028344076559051e-14 relative error = 1.417200326353618e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07135 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = -0.08189622790483408 y[1] (numeric) = -0.08189622790484444 absolute error = 1.035282970462958e-14 relative error = 1.264139993927423e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06144 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = -0.09133060576216545 y[1] (numeric) = -0.09133060576217628 absolute error = 1.082467449009528e-14 relative error = 1.185218733606549e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0515 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = -0.1008648497266993 y[1] (numeric) = -0.1008648497267102 absolute error = 1.088018564132653e-14 relative error = 1.078689520760423e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04154 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = -0.1104990063736504 y[1] (numeric) = -0.1104990063736615 absolute error = 1.114386360967501e-14 relative error = 1.008503512872526e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03157 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = -0.1202331122870497 y[1] (numeric) = -0.1202331122870608 absolute error = 1.112998582186719e-14 relative error = 9.257005503854037e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02159 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = -0.1300671940560836 y[1] (numeric) = -0.1300671940560951 absolute error = 1.1518563880486e-14 relative error = 8.855856362611557e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01159 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = -0.1400012682724374 y[1] (numeric) = -0.1400012682724492 absolute error = 1.176836406102666e-14 relative error = 8.405898179526379e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.001593 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = -0.1500353415286346 y[1] (numeric) = -0.1500353415286465 absolute error = 1.19071419391048e-14 relative error = 7.936224770636654e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.008407 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = -0.1601694104173776 y[1] (numeric) = -0.1601694104173899 absolute error = 1.226796442210798e-14 relative error = 7.659367909352659e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0184 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = -0.1704034615318899 y[1] (numeric) = -0.1704034615319022 absolute error = 1.226796442210798e-14 relative error = 7.199363388408697e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02839 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = -0.1807374714672543 y[1] (numeric) = -0.1807374714672669 absolute error = 1.262878690511116e-14 relative error = 6.987365045327205e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03837 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = -0.1911714068227561 y[1] (numeric) = -0.1911714068227689 absolute error = 1.27675647831893e-14 relative error = 6.67859540052802e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04833 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = -0.2017052242052215 y[1] (numeric) = -0.2017052242052342 absolute error = 1.271205363195804e-14 relative error = 6.302292705628874e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05827 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = -0.2123388702333564 y[1] (numeric) = -0.2123388702333695 absolute error = 1.310063169057685e-14 relative error = 6.169681357058885e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06819 Order of pole (three term test) = 22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = -0.2230722815430863 y[1] (numeric) = -0.2230722815430999 absolute error = 1.360023205165817e-14 relative error = 6.096782602293547e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07809 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = -0.2339053847938919 y[1] (numeric) = -0.2339053847939057 absolute error = 1.38222766565832e-14 relative error = 5.909345211852578e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08795 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = -0.2448380966761419 y[1] (numeric) = -0.244838096676156 absolute error = 1.415534356397075e-14 relative error = 5.781511846456902e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09777 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = -0.2558703239194258 y[1] (numeric) = -0.2558703239194399 absolute error = 1.409983241273949e-14 relative error = 5.510538383958728e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1076 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = -0.2670019633018788 y[1] (numeric) = -0.2670019633018931 absolute error = 1.437738816889578e-14 relative error = 5.384749981272744e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1173 Order of pole (three term test) = 22.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = -0.2782329016605058 y[1] (numeric) = -0.2782329016605206 absolute error = 1.476596622751458e-14 relative error = 5.307052523044782e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.127 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = -0.2895630159024973 y[1] (numeric) = -0.2895630159025122 absolute error = 1.48769885299771e-14 relative error = 5.137737802463878e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1366 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = -0.3009921730175371 y[1] (numeric) = -0.3009921730175522 absolute error = 1.504352198367087e-14 relative error = 4.997977798842753e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1462 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = -0.3125202300911045 y[1] (numeric) = -0.3125202300911199 absolute error = 1.537658889105842e-14 relative error = 4.920189930288962e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1558 Order of pole (three term test) = 22.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = -0.324147034318766 y[1] (numeric) = -0.3241470343187814 absolute error = 1.543210004228968e-14 relative error = 4.760833328221586e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1652 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = -0.335872423021454 y[1] (numeric) = -0.3358724230214697 absolute error = 1.570965579844597e-14 relative error = 4.67726872516786e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1746 Order of pole (three term test) = 22.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = -0.3476962236617362 y[1] (numeric) = -0.3476962236617523 absolute error = 1.604272270583351e-14 relative error = 4.614005449032722e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.184 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = -0.3596182538610688 y[1] (numeric) = -0.3596182538610849 absolute error = 1.609823385706477e-14 relative error = 4.476478511372783e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1932 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = -0.371638321418033 y[1] (numeric) = -0.3716383214180494 absolute error = 1.637578961322106e-14 relative error = 4.406378101896802e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2024 Order of pole (three term test) = 22.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = -0.3837562243275565 y[1] (numeric) = -0.3837562243275733 absolute error = 1.681987882307112e-14 relative error = 4.382959221715308e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2115 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = -0.3959717508011136 y[1] (numeric) = -0.3959717508011308 absolute error = 1.720845688168993e-14 relative error = 4.345879938878087e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2205 Order of pole (three term test) = 22.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = -0.4082846792879034 y[1] (numeric) = -0.4082846792879206 absolute error = 1.726396803292118e-14 relative error = 4.22841436593496e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2295 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = -0.4206947784970039 y[1] (numeric) = -0.4206947784970216 absolute error = 1.770805724277125e-14 relative error = 4.209241033614911e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2383 Order of pole (three term test) = 22.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = -0.4332018074205033 y[1] (numeric) = -0.4332018074205212 absolute error = 1.787459069646502e-14 relative error = 4.126157922308572e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2471 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = -0.4458055153575979 y[1] (numeric) = -0.4458055153576162 absolute error = 1.826316875508383e-14 relative error = 4.096667296822074e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2557 Order of pole (three term test) = 22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = -0.4585056419396643 y[1] (numeric) = -0.4585056419396827 absolute error = 1.848521336000886e-14 relative error = 4.031621788078534e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2642 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = -0.471301917156294 y[1] (numeric) = -0.4713019171563127 absolute error = 1.870725796493389e-14 relative error = 3.969272622061105e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2727 Order of pole (three term test) = 22.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = -0.4841940613822957 y[1] (numeric) = -0.4841940613823146 absolute error = 1.892930256985892e-14 relative error = 3.909445422733774e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.281 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = -0.4971817854056568 y[1] (numeric) = -0.497181785405676 absolute error = 1.920685832601521e-14 relative error = 3.863146014157396e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2892 Order of pole (three term test) = 22.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = -0.5102647904564646 y[1] (numeric) = -0.5102647904564843 absolute error = 1.976196983832779e-14 relative error = 3.872885256427244e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2973 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = -0.5234427682367837 y[1] (numeric) = -0.5234427682368036 absolute error = 1.98729921407903e-14 relative error = 3.796593122822663e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3053 Order of pole (three term test) = 22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = -0.5367154009514841 y[1] (numeric) = -0.5367154009515041 absolute error = 1.998401444325282e-14 relative error = 3.723391281082179e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3132 Order of pole (three term test) = 22.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = -0.5500823613400212 y[1] (numeric) = -0.5500823613400415 absolute error = 2.031708135064036e-14 relative error = 3.693461702925212e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3209 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = -0.5635433127091622 y[1] (numeric) = -0.5635433127091829 absolute error = 2.065014825802791e-14 relative error = 3.664340928606706e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3285 Order of pole (three term test) = 22.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = -0.5770979089666546 y[1] (numeric) = -0.5770979089666755 absolute error = 2.087219286295294e-14 relative error = 3.616750734780251e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.336 Order of pole (three term test) = 22.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = -0.5907457946558341 y[1] (numeric) = -0.5907457946558554 absolute error = 2.131628207280301e-14 relative error = 3.608367975809591e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3433 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = -0.6044866049911723 y[1] (numeric) = -0.6044866049911939 absolute error = 2.153832667772804e-14 relative error = 3.563077576887344e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3505 Order of pole (three term test) = 22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = -0.6183199658947527 y[1] (numeric) = -0.6183199658947747 absolute error = 2.19824158875781e-14 relative error = 3.555184548467231e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3576 Order of pole (three term test) = 22.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = -0.6322454940336799 y[1] (numeric) = -0.6322454940337019 absolute error = 2.19824158875781e-14 relative error = 3.476879803022699e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3645 Order of pole (three term test) = 22.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = -0.6462627968584105 y[1] (numeric) = -0.6462627968584328 absolute error = 2.231548279496565e-14 relative error = 3.453004397505917e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3713 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = -0.66037147264201 y[1] (numeric) = -0.6603714726420328 absolute error = 2.275957200481571e-14 relative error = 3.446480192997944e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3779 Order of pole (three term test) = 22.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = -0.6745711105203243 y[1] (numeric) = -0.6745711105203472 absolute error = 2.298161660974074e-14 relative error = 3.406848625938647e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3844 Order of pole (three term test) = 22.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = -0.6888612905330649 y[1] (numeric) = -0.6888612905330881 absolute error = 2.320366121466577e-14 relative error = 3.368408347740076e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3907 Order of pole (three term test) = 22.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = -0.7032415836658057 y[1] (numeric) = -0.7032415836658292 absolute error = 2.353672812205332e-14 relative error = 3.346890836483645e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3968 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = -0.7177115518928838 y[1] (numeric) = -0.7177115518929076 absolute error = 2.375877272697835e-14 relative error = 3.310351166052329e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4028 Order of pole (three term test) = 22.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = -0.7322707482212016 y[1] (numeric) = -0.7322707482212255 absolute error = 2.386979502944087e-14 relative error = 3.259695281755317e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4087 Order of pole (three term test) = 22.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = -0.7469187167349252 y[1] (numeric) = -0.7469187167349494 absolute error = 2.420286193682841e-14 relative error = 3.240360884599146e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4144 Order of pole (three term test) = 22.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = -0.7616549926410765 y[1] (numeric) = -0.761654992641101 absolute error = 2.453592884421596e-14 relative error = 3.221396706025179e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4199 Order of pole (three term test) = 22.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = -0.7764791023160118 y[1] (numeric) = -0.7764791023160369 absolute error = 2.509104035652854e-14 relative error = 3.231386431610232e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4252 Order of pole (three term test) = 22.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = -0.7913905633527842 y[1] (numeric) = -0.7913905633528096 absolute error = 2.531308496145357e-14 relative error = 3.198557846610253e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4304 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = -0.8063888846093823 y[1] (numeric) = -0.8063888846094081 absolute error = 2.575717417130363e-14 relative error = 3.194138047150848e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4354 Order of pole (three term test) = 22.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = -0.8214735662578461 y[1] (numeric) = -0.8214735662578722 absolute error = 2.609024107869118e-14 relative error = 3.176029290576334e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4402 Order of pole (three term test) = 22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = -0.8366440998342477 y[1] (numeric) = -0.8366440998342741 absolute error = 2.642330798607873e-14 relative error = 3.158249486408091e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4449 Order of pole (three term test) = 22.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = -0.8518999682895383 y[1] (numeric) = -0.8518999682895652 absolute error = 2.686739719592879e-14 relative error = 3.153820659234638e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4494 Order of pole (three term test) = 22.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = -0.8672406460412527 y[1] (numeric) = -0.8672406460412795 absolute error = 2.675637489346627e-14 relative error = 3.085230727549817e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4536 Order of pole (three term test) = 22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = -0.882665599026065 y[1] (numeric) = -0.8826655990260927 absolute error = 2.76445533131664e-14 relative error = 3.131939586596493e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4578 Order of pole (three term test) = 22.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = -0.8981742847531993 y[1] (numeric) = -0.8981742847532268 absolute error = 2.753353101070388e-14 relative error = 3.06549981201806e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4617 Order of pole (three term test) = 22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = -0.9137661523586718 y[1] (numeric) = -0.9137661523586998 absolute error = 2.808864252301646e-14 relative error = 3.073942107672981e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4654 Order of pole (three term test) = 22.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = -0.9294406426603827 y[1] (numeric) = -0.9294406426604112 absolute error = 2.842170943040401e-14 relative error = 3.057937013497837e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.469 Order of pole (three term test) = 22.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = -0.9451971882140304 y[1] (numeric) = -0.9451971882140592 absolute error = 2.875477633779155e-14 relative error = 3.042198675191184e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4724 Order of pole (three term test) = 22.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = -0.9610352133698568 y[1] (numeric) = -0.9610352133698857 absolute error = 2.897682094271659e-14 relative error = 3.015167450639999e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4756 Order of pole (three term test) = 22.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = -0.9769541343302106 y[1] (numeric) = -0.9769541343302403 absolute error = 2.964295475749168e-14 relative error = 3.034221742437743e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4785 Order of pole (three term test) = 22.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = -0.9929533592079292 y[1] (numeric) = -0.992953359207959 absolute error = 2.986499936241671e-14 relative error = 3.007694076007737e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4814 Order of pole (three term test) = 22.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = -1.009032288085523 y[1] (numeric) = -1.009032288085554 absolute error = 3.042011087472929e-14 relative error = 3.014780719499726e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.484 Order of pole (three term test) = 22.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = -1.025190313075172 y[1] (numeric) = -1.025190313075202 absolute error = 3.042011087472929e-14 relative error = 2.967264759211467e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4864 Order of pole (three term test) = 22.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = -1.041426818379506 y[1] (numeric) = -1.041426818379537 absolute error = 3.108624468950438e-14 relative error = 2.984966791797774e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4886 Order of pole (three term test) = 22.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = -1.057741180353195 y[1] (numeric) = -1.057741180353226 absolute error = 3.108624468950438e-14 relative error = 2.938927335619499e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4906 Order of pole (three term test) = 22.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = -1.0741327675653 y[1] (numeric) = -1.074132767565332 absolute error = 3.153033389935445e-14 relative error = 2.935422403212144e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4925 Order of pole (three term test) = 22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = -1.090600940862429 y[1] (numeric) = -1.090600940862461 absolute error = 3.175237850427948e-14 relative error = 2.911457098062855e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4941 Order of pole (three term test) = 22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = -1.107145053432641 y[1] (numeric) = -1.107145053432673 absolute error = 3.219646771412954e-14 relative error = 2.908062282743006e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4955 Order of pole (three term test) = 22.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = -1.123764450870133 y[1] (numeric) = -1.123764450870165 absolute error = 3.26405569239796e-14 relative error = 2.904572830961681e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4968 Order of pole (three term test) = 22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = -1.140458471240677 y[1] (numeric) = -1.14045847124071 absolute error = 3.26405569239796e-14 relative error = 2.86205572119349e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4978 Order of pole (three term test) = 22.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = -1.157226445147814 y[1] (numeric) = -1.157226445147847 absolute error = 3.33066907387547e-14 relative error = 2.878148082288285e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4986 Order of pole (three term test) = 22.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = -1.174067695799794 y[1] (numeric) = -1.174067695799827 absolute error = 3.352873534367973e-14 relative error = 2.855775306962978e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4993 Order of pole (three term test) = 22.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = -1.190981539077252 y[1] (numeric) = -1.190981539077286 absolute error = 3.397282455352979e-14 relative error = 2.852506393999292e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4997 Order of pole (three term test) = 22.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = -1.207967283601623 y[1] (numeric) = -1.207967283601657 absolute error = 3.419486915845482e-14 relative error = 2.830777755544909e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 22.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = -1.225024230804274 y[1] (numeric) = -1.225024230804309 absolute error = 3.463895836830488e-14 relative error = 2.827614139972e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 22.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = -1.242151674996367 y[1] (numeric) = -1.242151674996403 absolute error = 3.508304757815495e-14 relative error = 2.824377109845103e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 22.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = -1.259348903439423 y[1] (numeric) = -1.259348903439458 absolute error = 3.530509218307998e-14 relative error = 2.803440101996978e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4995 Order of pole (three term test) = 22.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = -1.276615196416594 y[1] (numeric) = -1.276615196416629 absolute error = 3.574918139293004e-14 relative error = 2.800309873584187e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4989 Order of pole (three term test) = 22.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = -1.293949827304637 y[1] (numeric) = -1.293949827304673 absolute error = 3.61932706027801e-14 relative error = 2.797115455254746e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4982 Order of pole (three term test) = 22.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = -1.311352062646578 y[1] (numeric) = -1.311352062646614 absolute error = 3.61932706027801e-14 relative error = 2.759996467290001e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4972 Order of pole (three term test) = 22.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = -1.328821162225048 y[1] (numeric) = -1.328821162225085 absolute error = 3.663735981263017e-14 relative error = 2.757132476072449e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.496 Order of pole (three term test) = 22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = -1.346356379136316 y[1] (numeric) = -1.346356379136353 absolute error = 3.68594044175552e-14 relative error = 2.737715287626922e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4947 Order of pole (three term test) = 22.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = -1.363956959864969 y[1] (numeric) = -1.363956959865006 absolute error = 3.68594044175552e-14 relative error = 2.702387648742543e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4931 Order of pole (three term test) = 22.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = -1.381622144359268 y[1] (numeric) = -1.381622144359305 absolute error = 3.708144902248023e-14 relative error = 2.683906679830822e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4914 Order of pole (three term test) = 22.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = -1.399351166107151 y[1] (numeric) = -1.399351166107188 absolute error = 3.730349362740526e-14 relative error = 2.66577071795207e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4894 Order of pole (three term test) = 22.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = -1.417143252212884 y[1] (numeric) = -1.417143252212922 absolute error = 3.774758283725532e-14 relative error = 2.663639175384145e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4873 Order of pole (three term test) = 22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = -1.43499762347435 y[1] (numeric) = -1.434997623474389 absolute error = 3.841371665203042e-14 relative error = 2.676918485692324e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4849 Order of pole (three term test) = 22.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = -1.45291349446097 y[1] (numeric) = -1.452913494461008 absolute error = 3.841371665203042e-14 relative error = 2.643909413635248e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4824 Order of pole (three term test) = 22.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = -1.470890073592239 y[1] (numeric) = -1.470890073592277 absolute error = 3.863576125695545e-14 relative error = 2.62669263669707e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4797 Order of pole (three term test) = 22.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = -1.488926563216892 y[1] (numeric) = -1.488926563216931 absolute error = 3.930189507173054e-14 relative error = 2.639612727898216e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4768 Order of pole (three term test) = 22.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = -1.507022159692664 y[1] (numeric) = -1.507022159692703 absolute error = 3.952393967665557e-14 relative error = 2.622651526551934e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4737 Order of pole (three term test) = 22.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = -1.525176053466653 y[1] (numeric) = -1.525176053466693 absolute error = 3.996802888650564e-14 relative error = 2.620551823880279e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4704 Order of pole (three term test) = 22.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = -1.543387429156277 y[1] (numeric) = -1.543387429156318 absolute error = 4.04121180963557e-14 relative error = 2.618403994546448e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4669 Order of pole (three term test) = 22.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = -1.56165546563081 y[1] (numeric) = -1.561655465630851 absolute error = 4.085620730620576e-14 relative error = 2.616211335046455e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4632 Order of pole (three term test) = 22.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = -1.579979336093495 y[1] (numeric) = -1.579979336093536 absolute error = 4.107825191113079e-14 relative error = 2.599923364358481e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4594 Order of pole (three term test) = 22.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = -1.598358208164221 y[1] (numeric) = -1.598358208164263 absolute error = 4.152234112098085e-14 relative error = 2.59781198663039e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4553 Order of pole (three term test) = 22.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = -1.616791243962764 y[1] (numeric) = -1.616791243962806 absolute error = 4.218847493575595e-14 relative error = 2.609395312678202e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4511 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = -1.635277600192572 y[1] (numeric) = -1.635277600192614 absolute error = 4.263256414560601e-14 relative error = 2.607053636678297e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4467 Order of pole (three term test) = 22.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = -1.653816428225093 y[1] (numeric) = -1.653816428225136 absolute error = 4.307665335545607e-14 relative error = 2.604681669638919e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4421 Order of pole (three term test) = 22.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = -1.67240687418464 y[1] (numeric) = -1.672406874184683 absolute error = 4.329869796038111e-14 relative error = 2.589005021968163e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4373 Order of pole (three term test) = 22.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = -1.691048079033775 y[1] (numeric) = -1.691048079033819 absolute error = 4.39648317751562e-14 relative error = 2.599856995211908e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4324 Order of pole (three term test) = 22.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = -1.709739178659216 y[1] (numeric) = -1.70973917865926 absolute error = 4.39648317751562e-14 relative error = 2.571435007392975e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4273 Order of pole (three term test) = 22.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = -1.728479303958241 y[1] (numeric) = -1.728479303958286 absolute error = 4.440892098500626e-14 relative error = 2.569248060032262e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.422 Order of pole (three term test) = 22.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = -1.747267580925604 y[1] (numeric) = -1.74726758092565 absolute error = 4.529709940470639e-14 relative error = 2.592453491337058e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4166 Order of pole (three term test) = 22.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = -1.766103130740933 y[1] (numeric) = -1.766103130740979 absolute error = 4.574118861455645e-14 relative error = 2.589950032836795e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.411 Order of pole (three term test) = 22.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = -1.784985069856608 y[1] (numeric) = -1.784985069856654 absolute error = 4.574118861455645e-14 relative error = 2.562553008817656e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4052 Order of pole (three term test) = 22.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = -1.80391251008612 y[1] (numeric) = -1.803912510086166 absolute error = 4.640732242933154e-14 relative error = 2.572592748808868e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3992 Order of pole (three term test) = 22.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = -1.822884558692884 y[1] (numeric) = -1.822884558692931 absolute error = 4.685141163918161e-14 relative error = 2.570179851256013e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3931 Order of pole (three term test) = 22.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = -1.841900318479518 y[1] (numeric) = -1.841900318479565 absolute error = 4.729550084903167e-14 relative error = 2.567755723505924e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3869 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = -1.860958887877555 y[1] (numeric) = -1.860958887877602 absolute error = 4.773959005888173e-14 relative error = 2.565322123441926e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3805 Order of pole (three term test) = 22.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = -1.880059361037604 y[1] (numeric) = -1.880059361037652 absolute error = 4.796163466380676e-14 relative error = 2.551070229896185e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3739 Order of pole (three term test) = 22.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = -1.899200827919934 y[1] (numeric) = -1.899200827919983 absolute error = 4.862776847858186e-14 relative error = 2.560433197148537e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3672 Order of pole (three term test) = 22.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = -1.918382374385474 y[1] (numeric) = -1.918382374385523 absolute error = 4.907185768843192e-14 relative error = 2.557981054436626e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3603 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = -1.937603082287228 y[1] (numeric) = -1.937603082287277 absolute error = 4.929390229335695e-14 relative error = 2.544066054806662e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3533 Order of pole (three term test) = 22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = -1.95686202956209 y[1] (numeric) = -1.95686202956214 absolute error = 4.973799150320701e-14 relative error = 2.541721938073348e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3462 Order of pole (three term test) = 22.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = -1.976158290323049 y[1] (numeric) = -1.976158290323099 absolute error = 5.018208071305708e-14 relative error = 2.539375563121194e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3389 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = -1.995490934951775 y[1] (numeric) = -1.995490934951826 absolute error = 5.084821452783217e-14 relative error = 2.548155626127213e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3315 Order of pole (three term test) = 22.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = -2.014859030191583 y[1] (numeric) = -2.014859030191634 absolute error = 5.10702591327572e-14 relative error = 2.53468150215458e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3239 Order of pole (three term test) = 22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = -2.034261639240754 y[1] (numeric) = -2.034261639240806 absolute error = 5.151434834260726e-14 relative error = 2.532336418723106e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3163 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = -2.053697821846221 y[1] (numeric) = -2.053697821846273 absolute error = 5.195843755245733e-14 relative error = 2.52999428639156e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3084 Order of pole (three term test) = 22.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = -2.073166634397586 y[1] (numeric) = -2.073166634397638 absolute error = 5.240252676230739e-14 relative error = 2.527656286419752e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3005 Order of pole (three term test) = 22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = -2.092667130021484 y[1] (numeric) = -2.092667130021537 absolute error = 5.284661597215745e-14 relative error = 2.52532355547702e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2925 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = -2.11219835867627 y[1] (numeric) = -2.112198358676323 absolute error = 5.329070518200751e-14 relative error = 2.522997187414026e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2843 Order of pole (three term test) = 22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = -2.131759367247021 y[1] (numeric) = -2.131759367247075 absolute error = 5.373479439185758e-14 relative error = 2.520678234957228e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.276 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = -2.151349199640848 y[1] (numeric) = -2.151349199640902 absolute error = 5.417888360170764e-14 relative error = 2.518367711329821e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2676 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = -2.170966896882502 y[1] (numeric) = -2.170966896882557 absolute error = 5.46229728115577e-14 relative error = 2.51606659180276e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2591 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = -2.190611497210274 y[1] (numeric) = -2.190611497210329 absolute error = 5.506706202140776e-14 relative error = 2.513775815179241e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2505 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = -2.21028203617217 y[1] (numeric) = -2.210282036172225 absolute error = 5.551115123125783e-14 relative error = 2.511496285215874e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2418 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = -2.22997754672235 y[1] (numeric) = -2.229977546722406 absolute error = 5.595524044110789e-14 relative error = 2.50922887198356e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.233 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = -2.24969705931784 y[1] (numeric) = -2.249697059317896 absolute error = 5.595524044110789e-14 relative error = 2.487234457161748e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2241 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = -2.26943960201548 y[1] (numeric) = -2.269439602015536 absolute error = 5.639932965095795e-14 relative error = 2.485165483182277e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2151 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = -2.289204200569118 y[1] (numeric) = -2.289204200569175 absolute error = 5.684341886080801e-14 relative error = 2.483108271716267e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2061 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = -2.308989878527037 y[1] (numeric) = -2.308989878527095 absolute error = 5.728750807065808e-14 relative error = 2.481063628880141e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1969 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = -2.328795657329596 y[1] (numeric) = -2.328795657329653 absolute error = 5.728750807065808e-14 relative error = 2.459962852058434e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1877 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = -2.348620556407085 y[1] (numeric) = -2.348620556407143 absolute error = 5.81756864903582e-14 relative error = 2.477015128376261e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1784 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = -2.368463593277784 y[1] (numeric) = -2.368463593277843 absolute error = 5.81756864903582e-14 relative error = 2.45626264450395e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.169 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = -2.388323783646209 y[1] (numeric) = -2.388323783646268 absolute error = 5.906386491005833e-14 relative error = 2.473025865022649e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1595 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = -2.40820014150154 y[1] (numeric) = -2.408200141501599 absolute error = 5.950795411990839e-14 relative error = 2.471055170805053e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.15 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = -2.428091679216221 y[1] (numeric) = -2.428091679216281 absolute error = 5.995204332975845e-14 relative error = 2.469101304655463e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1405 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = -2.447997407644724 y[1] (numeric) = -2.447997407644784 absolute error = 6.039613253960852e-14 relative error = 2.467164889595086e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1308 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = -2.46791633622246 y[1] (numeric) = -2.467916336222521 absolute error = 6.084022174945858e-14 relative error = 2.465246526249113e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1212 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = -2.487847473064838 y[1] (numeric) = -2.4878474730649 absolute error = 6.17284001691587e-14 relative error = 2.481197132761279e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1114 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = -2.50778982506645 y[1] (numeric) = -2.507789825066512 absolute error = 6.217248937900877e-14 relative error = 2.479174640457015e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1017 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = -2.52774239800038 y[1] (numeric) = -2.527742398000443 absolute error = 6.261657858885883e-14 relative error = 2.477174044253595e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09186 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = -2.547704196617629 y[1] (numeric) = -2.547704196617692 absolute error = 6.306066779870889e-14 relative error = 2.47519582070906e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08202 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = -2.567674224746637 y[1] (numeric) = -2.567674224746701 absolute error = 6.350475700855895e-14 relative error = 2.473240428887556e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07214 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = -2.587651485392898 y[1] (numeric) = -2.587651485392963 absolute error = 6.439293542825908e-14 relative error = 2.488470174277813e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06223 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = -2.607634980838664 y[1] (numeric) = -2.607634980838729 absolute error = 6.483702463810914e-14 relative error = 2.48643023715138e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05229 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = -2.627623712742708 y[1] (numeric) = -2.627623712742774 absolute error = 6.52811138479592e-14 relative error = 2.48441637710062e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04234 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = -2.647616682240165 y[1] (numeric) = -2.64761668224023 absolute error = 6.52811138479592e-14 relative error = 2.465655783401563e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03237 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = -2.667612890042411 y[1] (numeric) = -2.667612890042477 absolute error = 6.572520305780927e-14 relative error = 2.463820867830801e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02238 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = -2.687611336536998 y[1] (numeric) = -2.687611336537064 absolute error = 6.616929226765933e-14 relative error = 2.462011205568095e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01239 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = -2.707611021887606 y[1] (numeric) = -2.707611021887673 absolute error = 6.661338147750939e-14 relative error = 2.460227150023565e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002389 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = -2.727610946134035 y[1] (numeric) = -2.727610946134102 absolute error = 6.705747068735946e-14 relative error = 2.45846904164991e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.007611 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = -2.747610109292194 y[1] (numeric) = -2.747610109292261 absolute error = 6.750155989720952e-14 relative error = 2.456737208417043e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01761 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = -2.767607511454098 y[1] (numeric) = -2.767607511454166 absolute error = 6.794564910705958e-14 relative error = 2.455031966268982e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0276 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = -2.787602152887863 y[1] (numeric) = -2.787602152887931 absolute error = 6.838973831690964e-14 relative error = 2.453353619563687e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03758 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = -2.807593034137674 y[1] (numeric) = -2.807593034137743 absolute error = 6.883382752675971e-14 relative error = 2.451702461496575e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04754 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = -2.827579156123732 y[1] (numeric) = -2.827579156123801 absolute error = 6.927791673660977e-14 relative error = 2.450078774508346e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05748 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = -2.84755952024216 y[1] (numeric) = -2.84755952024223 absolute error = 6.972200594645983e-14 relative error = 2.448482830677779e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06741 Order of pole (three term test) = 23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = -2.867533128464864 y[1] (numeric) = -2.867533128464933 absolute error = 6.972200594645983e-14 relative error = 2.431428088985517e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0773 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = -2.887498983439331 y[1] (numeric) = -2.887498983439401 absolute error = 7.061018436615996e-14 relative error = 2.445375211251345e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08716 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = -2.90745608858837 y[1] (numeric) = -2.907456088588441 absolute error = 7.061018436615996e-14 relative error = 2.42858988114392e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09699 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = -2.927403448209764 y[1] (numeric) = -2.927403448209835 absolute error = 7.105427357601002e-14 relative error = 2.427211514677379e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1068 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = -2.947340067575839 y[1] (numeric) = -2.94734006757591 absolute error = 7.105427357601002e-14 relative error = 2.410793187989723e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1165 Order of pole (three term test) = 22.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = -2.967264953032939 y[1] (numeric) = -2.967264953033011 absolute error = 7.149836278586008e-14 relative error = 2.409571235382241e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1262 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = -2.98717711210079 y[1] (numeric) = -2.987177112100862 absolute error = 7.238654120556021e-14 relative error = 2.423242361905116e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1359 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = -3.007075553571745 y[1] (numeric) = -3.007075553571818 absolute error = 7.238654120556021e-14 relative error = 2.407207265530156e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1455 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = -3.026959287609905 y[1] (numeric) = -3.026959287609978 absolute error = 7.283063041541027e-14 relative error = 2.406065741073033e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.155 Order of pole (three term test) = 22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = -3.046827325850103 y[1] (numeric) = -3.046827325850177 absolute error = 7.371880883511039e-14 relative error = 2.419526968583358e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1645 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = -3.066678681496739 y[1] (numeric) = -3.066678681496813 absolute error = 7.416289804496046e-14 relative error = 2.41834589624382e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1739 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = -3.086512369422456 y[1] (numeric) = -3.086512369422531 absolute error = 7.460698725481052e-14 relative error = 2.417193852645109e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1832 Order of pole (three term test) = 22.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = -3.106327406266658 y[1] (numeric) = -3.106327406266733 absolute error = 7.505107646466058e-14 relative error = 2.416071026938554e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1925 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = -3.126122810533839 y[1] (numeric) = -3.126122810533914 absolute error = 7.549516567451064e-14 relative error = 2.414977601651503e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2017 Order of pole (three term test) = 22.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = -3.145897602691734 y[1] (numeric) = -3.14589760269181 absolute error = 7.593925488436071e-14 relative error = 2.413913752926496e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2108 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = -3.165650805269275 y[1] (numeric) = -3.165650805269351 absolute error = 7.638334409421077e-14 relative error = 2.412879650752051e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2198 Order of pole (three term test) = 22.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = -3.185381442954331 y[1] (numeric) = -3.185381442954407 absolute error = 7.682743330406083e-14 relative error = 2.411875459185386e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2288 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = -3.205088542691241 y[1] (numeric) = -3.205088542691318 absolute error = 7.72715225139109e-14 relative error = 2.410901336567374e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2376 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = -3.224771133778122 y[1] (numeric) = -3.2247711337782 absolute error = 7.771561172376096e-14 relative error = 2.409957435730015e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2464 Order of pole (three term test) = 22.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = -3.244428247963934 y[1] (numeric) = -3.244428247964013 absolute error = 7.860379014346108e-14 relative error = 2.422731653652365e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.255 Order of pole (three term test) = 22.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = -3.264058919545306 y[1] (numeric) = -3.264058919545385 absolute error = 7.904787935331115e-14 relative error = 2.42176631310083e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2636 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = -3.283662185463105 y[1] (numeric) = -3.283662185463184 absolute error = 7.949196856316121e-14 relative error = 2.4208327188794e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.272 Order of pole (three term test) = 22.92 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ; Iterations = 491 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 30 Minutes 0.0 Seconds Percent Done = 100.4 %