##############ECHO OF PROBLEM################# ##############temp/cos_sqrt_linpostode.ode################# diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=-1.0; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_display_interval=0.1; glob_max_minutes=10; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 6 estimated_steps = 6000000 step_error = 1.666666666666667e-17 est_needed_step_err = 1.666666666666667e-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 = 2.034211544313536e-169 estimated_step_error = 2.034211544313536e-169 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 = 1.365136197480357e-161 estimated_step_error = 1.365136197480357e-161 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 = 9.16127311957026e-154 estimated_step_error = 9.16127311957026e-154 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 = 6.14802521498725e-146 estimated_step_error = 6.14802521498725e-146 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 = 4.12586839942093e-138 estimated_step_error = 4.12586839942093e-138 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 = 2.768821426291084e-130 estimated_step_error = 2.768821426291084e-130 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 = 1.858121940991014e-122 estimated_step_error = 1.858121940991014e-122 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 = 1.246960955940874e-114 estimated_step_error = 1.246960955940874e-114 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 = 8.368165552007131e-107 estimated_step_error = 8.368165552007131e-107 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 = 5.61571713497667e-99 estimated_step_error = 5.61571713497667e-99 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 = 3.768559570407072e-91 estimated_step_error = 3.768559570407072e-91 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 = 2.528927180207858e-83 estimated_step_error = 2.528927180207858e-83 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 = 1.696994126611932e-75 estimated_step_error = 1.696994126611932e-75 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 = 1.138666589450052e-67 estimated_step_error = 1.138666589450052e-67 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 = 7.639792558861318e-60 estimated_step_error = 7.639792558861318e-60 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 = 5.126268304118506e-52 estimated_step_error = 5.126268304118506e-52 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 = 3.443338079989933e-44 estimated_step_error = 3.443338079989933e-44 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 = 2.326056412017913e-36 estimated_step_error = 2.326056412017913e-36 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = 1.381773290676036 y[1] (numeric) = 1.381773290676036 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 = 0.04565 Order of pole (three term test) = -53.7 Radius of convergence (six term test) for eq 1 = 0.08202 Order of pole (six term test) = -11.57 TOP MAIN SOLVE Loop x[1] = -0.99 y[1] (analytic) = 1.387134290354417 y[1] (numeric) = 1.387134290354417 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 = 0.003999 Order of pole (three term test) = -1.457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.98 y[1] (analytic) = 1.392411443741349 y[1] (numeric) = 1.392411443741349 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 = 0.001174 Order of pole (three term test) = -0.8541 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.97 y[1] (analytic) = 1.397605051076112 y[1] (numeric) = 1.397605051076112 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 = 0.01023 Order of pole (three term test) = -24.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.96 y[1] (analytic) = 1.402715411979432 y[1] (numeric) = 1.402715411979432 absolute error = 2.220446049250313e-16 relative error = 1.582962609726335e-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 = 0.01055 Order of pole (three term test) = -29.84 Radius of convergence (six term test) for eq 1 = 0.2526 Order of pole (six term test) = -41.85 TOP MAIN SOLVE Loop x[1] = -0.95 y[1] (analytic) = 1.407742825454382 y[1] (numeric) = 1.407742825454382 absolute error = 2.220446049250313e-16 relative error = 1.577309441114439e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9399999999999999 y[1] (analytic) = 1.412687589887281 y[1] (numeric) = 1.412687589887281 absolute error = 4.440892098500626e-16 relative error = 3.143576916999013e-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 = 0.02534 Order of pole (three term test) = -20.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299999999999999 y[1] (analytic) = 1.417550003048586 y[1] (numeric) = 1.417550003048585 absolute error = 2.220446049250313e-16 relative error = 1.566396983863015e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1234 Order of pole (six term test) = -11.6 TOP MAIN SOLVE Loop x[1] = -0.9199999999999999 y[1] (analytic) = 1.422330362093788 y[1] (numeric) = 1.422330362093788 absolute error = 4.440892098500626e-16 relative error = 3.12226485270501e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9099999999999999 y[1] (analytic) = 1.427028963564311 y[1] (numeric) = 1.42702896356431 absolute error = 2.220446049250313e-16 relative error = 1.555992279024438e-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 = 0.009398 Order of pole (three term test) = 1.071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8999999999999999 y[1] (analytic) = 1.431646103388397 y[1] (numeric) = 1.431646103388396 absolute error = 2.220446049250313e-16 relative error = 1.550974115736422e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1239 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = -0.8899999999999999 y[1] (analytic) = 1.436182076882005 y[1] (numeric) = 1.436182076882005 absolute error = 2.220446049250313e-16 relative error = 1.54607558818097e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8799999999999999 y[1] (analytic) = 1.4406371787497 y[1] (numeric) = 1.440637178749699 absolute error = 4.440892098500626e-16 relative error = 3.082588846106823e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8699999999999999 y[1] (analytic) = 1.44501170308554 y[1] (numeric) = 1.44501170308554 absolute error = 2.220446049250313e-16 relative error = 1.536628419347044e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.06092 Order of pole (six term test) = -11.66 TOP MAIN SOLVE Loop x[1] = -0.8599999999999999 y[1] (analytic) = 1.44930594337397 y[1] (numeric) = 1.44930594337397 absolute error = 2.220446049250313e-16 relative error = 1.532075445768984e-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 = 0.03324 Order of pole (three term test) = -18.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499999999999999 y[1] (analytic) = 1.453520192490708 y[1] (numeric) = 1.453520192490707 absolute error = 2.220446049250313e-16 relative error = 1.527633438270592e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8399999999999999 y[1] (analytic) = 1.457654742703628 y[1] (numeric) = 1.457654742703628 absolute error = 2.220446049250313e-16 relative error = 1.523300397686681e-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 = 0.009091 Order of pole (three term test) = -21.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8299999999999998 y[1] (analytic) = 1.461709885673656 y[1] (numeric) = 1.461709885673655 absolute error = 2.220446049250313e-16 relative error = 1.519074387478046e-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 = 0.0009108 Order of pole (three term test) = -24.52 Radius of convergence (six term test) for eq 1 = 0.1457 Order of pole (six term test) = -10.94 TOP MAIN SOLVE Loop x[1] = -0.8199999999999998 y[1] (analytic) = 1.465685912455644 y[1] (numeric) = 1.465685912455643 absolute error = 4.440892098500626e-16 relative error = 3.029907063144418e-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 = 0.0156 Order of pole (three term test) = -7.568 Radius of convergence (six term test) for eq 1 = 0.1805 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = -0.8099999999999998 y[1] (analytic) = 1.469583113499261 y[1] (numeric) = 1.46958311349926 absolute error = 4.440892098500626e-16 relative error = 3.021872024594994e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999999999999998 y[1] (analytic) = 1.473401778649875 y[1] (numeric) = 1.473401778649874 absolute error = 4.440892098500626e-16 relative error = 3.014040136811806e-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 = 0.02052 Order of pole (three term test) = 15.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7899999999999998 y[1] (analytic) = 1.477142197149433 y[1] (numeric) = 1.477142197149433 absolute error = 4.440892098500626e-16 relative error = 3.006407986360821e-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 = 0.01809 Order of pole (three term test) = -33.42 Radius of convergence (six term test) for eq 1 = 0.1483 Order of pole (six term test) = -11.33 TOP MAIN SOLVE Loop x[1] = -0.7799999999999998 y[1] (analytic) = 1.480804657637345 y[1] (numeric) = 1.480804657637345 absolute error = 4.440892098500626e-16 relative error = 2.998972265245412e-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 = 0.5012 Order of pole (three term test) = 179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7699999999999998 y[1] (analytic) = 1.484389448151362 y[1] (numeric) = 1.484389448151361 absolute error = 4.440892098500626e-16 relative error = 2.991729767434855e-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 = 0.007402 Order of pole (three term test) = -27.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599999999999998 y[1] (analytic) = 1.487896856128454 y[1] (numeric) = 1.487896856128454 absolute error = 4.440892098500626e-16 relative error = 2.984677385538632e-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 = 0.002559 Order of pole (three term test) = -0.7633 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7499999999999998 y[1] (analytic) = 1.491327168405694 y[1] (numeric) = 1.491327168405693 absolute error = 4.440892098500626e-16 relative error = 2.977812107619665e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2695 Order of pole (six term test) = -9.543 TOP MAIN SOLVE Loop x[1] = -0.7399999999999998 y[1] (analytic) = 1.494680671221126 y[1] (numeric) = 1.494680671221126 absolute error = 4.440892098500626e-16 relative error = 2.971131014139964e-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 = 0.004625 Order of pole (three term test) = -0.5053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7299999999999998 y[1] (analytic) = 1.49795765021465 y[1] (numeric) = 1.49795765021465 absolute error = 4.440892098500626e-16 relative error = 2.964631275032554e-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 = 0.001337 Order of pole (three term test) = -24.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199999999999998 y[1] (analytic) = 1.501158390428892 y[1] (numeric) = 1.501158390428892 absolute error = 4.440892098500626e-16 relative error = 2.958310146893846e-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 = 0.01287 Order of pole (three term test) = -4.184 Radius of convergence (six term test) for eq 1 = 0.2504 Order of pole (six term test) = -11.61 TOP MAIN SOLVE Loop x[1] = -0.7099999999999997 y[1] (analytic) = 1.50428317631008 y[1] (numeric) = 1.50428317631008 absolute error = 4.440892098500626e-16 relative error = 2.952164970290951e-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 = 0.0123 Order of pole (three term test) = -28.59 Radius of convergence (six term test) for eq 1 = 0.06715 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = -0.6999999999999997 y[1] (analytic) = 1.507332291708917 y[1] (numeric) = 1.507332291708916 absolute error = 4.440892098500626e-16 relative error = 2.946193167178702e-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 = 0.01704 Order of pole (three term test) = -11.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899999999999997 y[1] (analytic) = 1.510306019881451 y[1] (numeric) = 1.510306019881451 absolute error = 4.440892098500626e-16 relative error = 2.94039223842146e-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 = 0.1131 Order of pole (three term test) = -57.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999997 y[1] (analytic) = 1.513204643489952 y[1] (numeric) = 1.513204643489951 absolute error = 6.661338147750939e-16 relative error = 4.402139642122485e-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 = 0.0104 Order of pole (three term test) = 2.389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699999999999997 y[1] (analytic) = 1.516028444603774 y[1] (numeric) = 1.516028444603774 absolute error = 6.661338147750939e-16 relative error = 4.393940081706008e-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 = 0.001993 Order of pole (three term test) = -23.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6599999999999997 y[1] (analytic) = 1.518777704700233 y[1] (numeric) = 1.518777704700232 absolute error = 6.661338147750939e-16 relative error = 4.385986261936677e-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 = 0.03525 Order of pole (three term test) = -6.496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499999999999997 y[1] (analytic) = 1.521452704665468 y[1] (numeric) = 1.521452704665467 absolute error = 6.661338147750939e-16 relative error = 4.378274873299867e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3081 Order of pole (six term test) = -12.88 TOP MAIN SOLVE Loop x[1] = -0.6399999999999997 y[1] (analytic) = 1.524053724795312 y[1] (numeric) = 1.524053724795311 absolute error = 6.661338147750939e-16 relative error = 4.370802708182475e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.08408 Order of pole (six term test) = -11.69 TOP MAIN SOLVE Loop x[1] = -0.6299999999999997 y[1] (analytic) = 1.52658104479616 y[1] (numeric) = 1.526581044796159 absolute error = 8.881784197001252e-16 relative error = 5.818088877284083e-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 = 0.05156 Order of pole (three term test) = -23.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199999999999997 y[1] (analytic) = 1.529034943785828 y[1] (numeric) = 1.529034943785827 absolute error = 8.881784197001252e-16 relative error = 5.808751613622587e-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 = 0.02293 Order of pole (three term test) = -33.9 Radius of convergence (six term test) for eq 1 = 0.3221 Order of pole (six term test) = -10.19 TOP MAIN SOLVE Loop x[1] = -0.6099999999999997 y[1] (analytic) = 1.531415700294426 y[1] (numeric) = 1.531415700294425 absolute error = 8.881784197001252e-16 relative error = 5.799721261375123e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999996 y[1] (analytic) = 1.533723592265211 y[1] (numeric) = 1.533723592265211 absolute error = 6.661338147750939e-16 relative error = 4.343245537426056e-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 = 0.006525 Order of pole (three term test) = -23.45 Radius of convergence (six term test) for eq 1 = 0.2076 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = -0.5899999999999996 y[1] (analytic) = 1.535958897055462 y[1] (numeric) = 1.535958897055461 absolute error = 6.661338147750939e-16 relative error = 4.336924744875126e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2671 Order of pole (six term test) = -12.73 TOP MAIN SOLVE Loop x[1] = -0.5799999999999996 y[1] (analytic) = 1.538121891437329 y[1] (numeric) = 1.538121891437328 absolute error = 6.661338147750939e-16 relative error = 4.330825914925453e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.98 Order of pole (six term test) = -2.437 TOP MAIN SOLVE Loop x[1] = -0.5699999999999996 y[1] (analytic) = 1.540212851598702 y[1] (numeric) = 1.540212851598701 absolute error = 6.661338147750939e-16 relative error = 4.324946477908322e-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 = 0.001354 Order of pole (three term test) = -25.44 Radius of convergence (six term test) for eq 1 = 0.0881 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = -0.5599999999999996 y[1] (analytic) = 1.542232053144066 y[1] (numeric) = 1.542232053144066 absolute error = 6.661338147750939e-16 relative error = 4.319283945740087e-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 = 0.04486 Order of pole (three term test) = -60.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999996 y[1] (analytic) = 1.544179771095363 y[1] (numeric) = 1.544179771095362 absolute error = 6.661338147750939e-16 relative error = 4.31383590980843e-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 = 0.0145 Order of pole (three term test) = -23.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399999999999996 y[1] (analytic) = 1.546056279892846 y[1] (numeric) = 1.546056279892845 absolute error = 6.661338147750939e-16 relative error = 4.308600038940771e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299999999999996 y[1] (analytic) = 1.547861853395937 y[1] (numeric) = 1.547861853395937 absolute error = 6.661338147750939e-16 relative error = 4.303574077451596e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1123 Order of pole (six term test) = -12.01 TOP MAIN SOLVE Loop x[1] = -0.5199999999999996 y[1] (analytic) = 1.549596764884085 y[1] (numeric) = 1.549596764884085 absolute error = 6.661338147750939e-16 relative error = 4.298755843265605e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.07736 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = -0.5099999999999996 y[1] (analytic) = 1.551261287057617 y[1] (numeric) = 1.551261287057616 absolute error = 6.661338147750939e-16 relative error = 4.294143226113736e-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 = 0.09601 Order of pole (three term test) = -125.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999999999999996 y[1] (analytic) = 1.552855692038591 y[1] (numeric) = 1.552855692038591 absolute error = 4.440892098500626e-16 relative error = 2.859822790532852e-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 = 0.02457 Order of pole (three term test) = -22.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899999999999995 y[1] (analytic) = 1.554380251371656 y[1] (numeric) = 1.554380251371655 absolute error = 6.661338147750939e-16 relative error = 4.285526750531392e-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 = 0.01152 Order of pole (three term test) = 5.935 Radius of convergence (six term test) for eq 1 = 0.1299 Order of pole (six term test) = -11.39 TOP MAIN SOLVE Loop x[1] = -0.4799999999999995 y[1] (analytic) = 1.555835236024893 y[1] (numeric) = 1.555835236024892 absolute error = 6.661338147750939e-16 relative error = 4.281519015323522e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699999999999995 y[1] (analytic) = 1.557220916390675 y[1] (numeric) = 1.557220916390674 absolute error = 4.440892098500626e-16 relative error = 2.85180609363617e-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 = 0.01784 Order of pole (three term test) = -27.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599999999999995 y[1] (analytic) = 1.558537562286512 y[1] (numeric) = 1.558537562286511 absolute error = 4.440892098500626e-16 relative error = 2.849396899992226e-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 = 0.0004527 Order of pole (three term test) = -0.8961 Radius of convergence (six term test) for eq 1 = 0.2531 Order of pole (six term test) = -11.76 TOP MAIN SOLVE Loop x[1] = -0.4499999999999995 y[1] (analytic) = 1.5597854429559 y[1] (numeric) = 1.5597854429559 absolute error = 4.440892098500626e-16 relative error = 2.847117286903788e-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 = 0.04808 Order of pole (three term test) = -19 Radius of convergence (six term test) for eq 1 = 0.3785 Order of pole (six term test) = -9.512 TOP MAIN SOLVE Loop x[1] = -0.4399999999999995 y[1] (analytic) = 1.560964827069173 y[1] (numeric) = 1.560964827069172 absolute error = 4.440892098500626e-16 relative error = 2.844966152657476e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999995 y[1] (analytic) = 1.562075982724342 y[1] (numeric) = 1.562075982724341 absolute error = 4.440892098500626e-16 relative error = 2.842942435332422e-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 = 0.01395 Order of pole (three term test) = -24.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999995 y[1] (analytic) = 1.563119177447949 y[1] (numeric) = 1.563119177447949 absolute error = 4.440892098500626e-16 relative error = 2.841045111960764e-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 = 0.2464 Order of pole (three term test) = -205.6 Radius of convergence (six term test) for eq 1 = 0.1918 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = -0.4099999999999995 y[1] (analytic) = 1.564094678195909 y[1] (numeric) = 1.564094678195908 absolute error = 4.440892098500626e-16 relative error = 2.839273197721595e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1815 Order of pole (six term test) = -11.67 TOP MAIN SOLVE Loop x[1] = -0.3999999999999995 y[1] (analytic) = 1.565002751354351 y[1] (numeric) = 1.565002751354351 absolute error = 4.440892098500626e-16 relative error = 2.837625745167212e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999995 y[1] (analytic) = 1.565843662740467 y[1] (numeric) = 1.565843662740466 absolute error = 4.440892098500626e-16 relative error = 2.836101843480584e-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 = 0.03777 Order of pole (three term test) = -23.66 Radius of convergence (six term test) for eq 1 = 0.1857 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = -0.3799999999999994 y[1] (analytic) = 1.566617677603348 y[1] (numeric) = 1.566617677603347 absolute error = 4.440892098500626e-16 relative error = 2.834700617762987e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2917 Order of pole (six term test) = -12.32 TOP MAIN SOLVE Loop x[1] = -0.3699999999999994 y[1] (analytic) = 1.56732506062483 y[1] (numeric) = 1.567325060624829 absolute error = 6.661338147750939e-16 relative error = 4.250131842526227e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999994 y[1] (analytic) = 1.567966075920332 y[1] (numeric) = 1.567966075920331 absolute error = 6.661338147750939e-16 relative error = 4.248394305240951e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2293 Order of pole (six term test) = -11.69 TOP MAIN SOLVE Loop x[1] = -0.3499999999999994 y[1] (analytic) = 1.568540987039695 y[1] (numeric) = 1.568540987039694 absolute error = 6.661338147750939e-16 relative error = 4.246837158092294e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3099 Order of pole (six term test) = -12.5 TOP MAIN SOLVE Loop x[1] = -0.3399999999999994 y[1] (analytic) = 1.569050056968021 y[1] (numeric) = 1.56905005696802 absolute error = 6.661338147750939e-16 relative error = 4.245459294410966e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299999999999994 y[1] (analytic) = 1.56949354812651 y[1] (numeric) = 1.569493548126509 absolute error = 8.881784197001252e-16 relative error = 5.659012875588661e-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 = 0.05621 Order of pole (three term test) = -32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3199999999999994 y[1] (analytic) = 1.569871722373297 y[1] (numeric) = 1.569871722373297 absolute error = 8.881784197001252e-16 relative error = 5.65764964768839e-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 = 0.01775 Order of pole (three term test) = -22.17 Radius of convergence (six term test) for eq 1 = 0.2491 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = -0.3099999999999994 y[1] (analytic) = 1.570184841004288 y[1] (numeric) = 1.570184841004287 absolute error = 8.881784197001252e-16 relative error = 5.656521426687878e-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 = 0.001166 Order of pole (three term test) = -25.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999999999999994 y[1] (analytic) = 1.57043316475399 y[1] (numeric) = 1.570433164753989 absolute error = 1.110223024625157e-15 relative error = 7.069533741024083e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999994 y[1] (analytic) = 1.570616953796351 y[1] (numeric) = 1.570616953796351 absolute error = 8.881784197001252e-16 relative error = 5.654965187745502e-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 = 0.06564 Order of pole (three term test) = -19.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999994 y[1] (analytic) = 1.570736467745591 y[1] (numeric) = 1.57073646774559 absolute error = 1.110223024625157e-15 relative error = 7.068168642054966e-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 = 0.04029 Order of pole (three term test) = -20.9 Radius of convergence (six term test) for eq 1 = 0.241 Order of pole (six term test) = -11.1 TOP MAIN SOLVE Loop x[1] = -0.2699999999999994 y[1] (analytic) = 1.570791965657027 y[1] (numeric) = 1.570791965657026 absolute error = 8.881784197001252e-16 relative error = 5.6543351323332e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3121 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = -0.2599999999999993 y[1] (analytic) = 1.570783706027914 y[1] (numeric) = 1.570783706027913 absolute error = 8.881784197001252e-16 relative error = 5.654364864441379e-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 = 0.005687 Order of pole (three term test) = -26.78 Radius of convergence (six term test) for eq 1 = 0.1668 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = -0.2499999999999993 y[1] (analytic) = 1.570711946798267 y[1] (numeric) = 1.570711946798266 absolute error = 8.881784197001252e-16 relative error = 5.65462318861574e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399999999999993 y[1] (analytic) = 1.570576945351693 y[1] (numeric) = 1.570576945351692 absolute error = 8.881784197001252e-16 relative error = 5.655109240771637e-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 = 0.04083 Order of pole (three term test) = -11.86 Radius of convergence (six term test) for eq 1 = 0.3166 Order of pole (six term test) = -11.94 TOP MAIN SOLVE Loop x[1] = -0.2299999999999993 y[1] (analytic) = 1.57037895851622 y[1] (numeric) = 1.570378958516219 absolute error = 8.881784197001252e-16 relative error = 5.655822213380424e-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 = 0.04745 Order of pole (three term test) = -23.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199999999999993 y[1] (analytic) = 1.570118242565119 y[1] (numeric) = 1.570118242565119 absolute error = 6.661338147750939e-16 relative error = 4.242571016096366e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999993 y[1] (analytic) = 1.569795053217737 y[1] (numeric) = 1.569795053217736 absolute error = 8.881784197001252e-16 relative error = 5.657925968613249e-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 = 0.002592 Order of pole (three term test) = -26.96 Radius of convergence (six term test) for eq 1 = 0.07521 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = -0.1999999999999993 y[1] (analytic) = 1.569409645640315 y[1] (numeric) = 1.569409645640314 absolute error = 8.881784197001252e-16 relative error = 5.659315413075283e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.9689 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.007165 Order of pole (three term test) = -11.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899999999999993 y[1] (analytic) = 1.568962274446817 y[1] (numeric) = 1.568962274446816 absolute error = 8.881784197001252e-16 relative error = 5.660929100499107e-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 = 1.161 Order of pole (three term test) = -627.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799999999999993 y[1] (analytic) = 1.568453193699751 y[1] (numeric) = 1.56845319369975 absolute error = 1.110223024625157e-15 relative error = 7.078458120935716e-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 = 0.01432 Order of pole (three term test) = -7.495 Radius of convergence (six term test) for eq 1 = 0.8152 Order of pole (six term test) = -23.67 TOP MAIN SOLVE Loop x[1] = -0.1699999999999993 y[1] (analytic) = 1.567882656910993 y[1] (numeric) = 1.567882656910992 absolute error = 1.110223024625157e-15 relative error = 7.081033900920193e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599999999999993 y[1] (analytic) = 1.567250917042604 y[1] (numeric) = 1.567250917042603 absolute error = 8.881784197001252e-16 relative error = 5.667110543958807e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499999999999992 y[1] (analytic) = 1.566558226507657 y[1] (numeric) = 1.566558226507656 absolute error = 8.881784197001252e-16 relative error = 5.669616390066456e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.167 Order of pole (six term test) = -10.43 TOP MAIN SOLVE Loop x[1] = -0.1399999999999992 y[1] (analytic) = 1.56580483717105 y[1] (numeric) = 1.565804837171049 absolute error = 8.881784197001252e-16 relative error = 5.672344334462544e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2164 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = -0.1299999999999992 y[1] (analytic) = 1.564991000350328 y[1] (numeric) = 1.564991000350328 absolute error = 8.881784197001252e-16 relative error = 5.675294103936084e-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 = 5.184 Order of pole (three term test) = 599.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999992 y[1] (analytic) = 1.5641169668165 y[1] (numeric) = 1.5641169668165 absolute error = 6.661338147750939e-16 relative error = 4.258849107243548e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999992 y[1] (analytic) = 1.563182986794856 y[1] (numeric) = 1.563182986794855 absolute error = 8.881784197001252e-16 relative error = 5.681858280208401e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5395 Order of pole (six term test) = -13.91 TOP MAIN SOLVE Loop x[1] = -0.09999999999999924 y[1] (analytic) = 1.562189309965779 y[1] (numeric) = 1.562189309965778 absolute error = 8.881784197001252e-16 relative error = 5.685472394633025e-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 = 0.1928 Order of pole (three term test) = -84.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08999999999999925 y[1] (analytic) = 1.561136185465566 y[1] (numeric) = 1.561136185465566 absolute error = 6.661338147750939e-16 relative error = 4.266980811648009e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6307 Order of pole (six term test) = -8.625 TOP MAIN SOLVE Loop x[1] = -0.07999999999999925 y[1] (analytic) = 1.560023861887238 y[1] (numeric) = 1.560023861887237 absolute error = 8.881784197001252e-16 relative error = 5.693364322169099e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2728 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = -0.06999999999999926 y[1] (analytic) = 1.55885258728135 y[1] (numeric) = 1.558852587281349 absolute error = 8.881784197001252e-16 relative error = 5.697642143630238e-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 = 0.0008981 Order of pole (three term test) = -25.2 Radius of convergence (six term test) for eq 1 = 0.1523 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = -0.05999999999999926 y[1] (analytic) = 1.557622609156811 y[1] (numeric) = 1.55762260915681 absolute error = 8.881784197001252e-16 relative error = 5.702141291984223e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7133 Order of pole (six term test) = -9.877 TOP MAIN SOLVE Loop x[1] = -0.04999999999999925 y[1] (analytic) = 1.556334174481687 y[1] (numeric) = 1.556334174481686 absolute error = 8.881784197001252e-16 relative error = 5.706861895491818e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1897 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = -0.03999999999999925 y[1] (analytic) = 1.554987529684015 y[1] (numeric) = 1.554987529684014 absolute error = 8.881784197001252e-16 relative error = 5.711804131835126e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02999999999999925 y[1] (analytic) = 1.553582920652613 y[1] (numeric) = 1.553582920652612 absolute error = 8.881784197001252e-16 relative error = 5.71696822804301e-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 = 0.02507 Order of pole (three term test) = -31.88 Radius of convergence (six term test) for eq 1 = 0.2653 Order of pole (six term test) = -11.94 TOP MAIN SOLVE Loop x[1] = -0.01999999999999925 y[1] (analytic) = 1.552120592737885 y[1] (numeric) = 1.552120592737884 absolute error = 8.881784197001252e-16 relative error = 5.722354460444407e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2544 Order of pole (six term test) = -11.22 TOP MAIN SOLVE Loop x[1] = -0.009999999999999247 y[1] (analytic) = 1.55060079075263 y[1] (numeric) = 1.55060079075263 absolute error = 8.881784197001252e-16 relative error = 5.727963154649375e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.528699885739343e-16 y[1] (analytic) = 1.549023758972851 y[1] (numeric) = 1.54902375897285 absolute error = 8.881784197001252e-16 relative error = 5.733794685557769e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3185 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = 0.01000000000000075 y[1] (analytic) = 1.547389741138554 y[1] (numeric) = 1.547389741138553 absolute error = 8.881784197001252e-16 relative error = 5.739849477395477e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000075 y[1] (analytic) = 1.54569898045456 y[1] (numeric) = 1.545698980454559 absolute error = 8.881784197001252e-16 relative error = 5.746128003778132e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3687 Order of pole (six term test) = -11.88 TOP MAIN SOLVE Loop x[1] = 0.03000000000000076 y[1] (analytic) = 1.543951719591301 y[1] (numeric) = 1.5439517195913 absolute error = 8.881784197001252e-16 relative error = 5.75263078780232e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000076 y[1] (analytic) = 1.542148200685631 y[1] (numeric) = 1.54214820068563 absolute error = 8.881784197001252e-16 relative error = 5.75935840216424e-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 = 0.07047 Order of pole (three term test) = -73.58 Radius of convergence (six term test) for eq 1 = 0.4542 Order of pole (six term test) = -11.64 TOP MAIN SOLVE Loop x[1] = 0.05000000000000076 y[1] (analytic) = 1.54028866534162 y[1] (numeric) = 1.540288665341619 absolute error = 8.881784197001252e-16 relative error = 5.766311469305893e-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 = 0.03096 Order of pole (three term test) = -25.15 Radius of convergence (six term test) for eq 1 = 0.1713 Order of pole (six term test) = -11.98 TOP MAIN SOLVE Loop x[1] = 0.06000000000000076 y[1] (analytic) = 1.538373354631361 y[1] (numeric) = 1.53837335463136 absolute error = 8.881784197001252e-16 relative error = 5.773490661588834e-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 = 0.006267 Order of pole (three term test) = -1.606 Radius of convergence (six term test) for eq 1 = 0.2489 Order of pole (six term test) = -11.71 TOP MAIN SOLVE Loop x[1] = 0.07000000000000076 y[1] (analytic) = 1.536402509095765 y[1] (numeric) = 1.536402509095764 absolute error = 8.881784197001252e-16 relative error = 5.780896701495587e-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 = 0.03752 Order of pole (three term test) = -22.67 Radius of convergence (six term test) for eq 1 = 0.4357 Order of pole (six term test) = -11.46 TOP MAIN SOLVE Loop x[1] = 0.08000000000000075 y[1] (analytic) = 1.534376368745364 y[1] (numeric) = 1.534376368745363 absolute error = 8.881784197001252e-16 relative error = 5.78853036185884e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2966 Order of pole (six term test) = -11.92 TOP MAIN SOLVE Loop x[1] = 0.09000000000000075 y[1] (analytic) = 1.532295173061105 y[1] (numeric) = 1.532295173061104 absolute error = 8.881784197001252e-16 relative error = 5.79639246611858e-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 = 0.02963 Order of pole (three term test) = -4.207 Radius of convergence (six term test) for eq 1 = 0.8458 Order of pole (six term test) = -10.78 TOP MAIN SOLVE Loop x[1] = 0.1000000000000007 y[1] (analytic) = 1.530159160995152 y[1] (numeric) = 1.530159160995151 absolute error = 1.110223024625157e-15 relative error = 7.255604860759149e-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 = 0.0324 Order of pole (three term test) = -24.76 Radius of convergence (six term test) for eq 1 = 0.2451 Order of pole (six term test) = -11.85 TOP MAIN SOLVE Loop x[1] = 0.1100000000000007 y[1] (analytic) = 1.527968570971678 y[1] (numeric) = 1.527968570971677 absolute error = 1.110223024625157e-15 relative error = 7.266006943579568e-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 = 0.05684 Order of pole (three term test) = -19.32 Radius of convergence (six term test) for eq 1 = 0.3378 Order of pole (six term test) = -11.78 TOP MAIN SOLVE Loop x[1] = 0.1200000000000007 y[1] (analytic) = 1.525723640887664 y[1] (numeric) = 1.525723640887663 absolute error = 8.881784197001252e-16 relative error = 5.821358441974356e-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 = 0.004625 Order of pole (three term test) = -0.8487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000007 y[1] (analytic) = 1.52342460811369 y[1] (numeric) = 1.523424608113688 absolute error = 1.110223024625157e-15 relative error = 7.287679473681596e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000007 y[1] (analytic) = 1.521071709494729 y[1] (numeric) = 1.521071709494728 absolute error = 1.110223024625157e-15 relative error = 7.298952558876738e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000007 y[1] (analytic) = 1.518665181350943 y[1] (numeric) = 1.518665181350942 absolute error = 8.881784197001252e-16 relative error = 5.848414980516229e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3695 Order of pole (six term test) = -11.41 TOP MAIN SOLVE Loop x[1] = 0.1600000000000008 y[1] (analytic) = 1.516205259478472 y[1] (numeric) = 1.516205259478471 absolute error = 8.881784197001252e-16 relative error = 5.857903566471146e-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 = 0.00616 Order of pole (three term test) = -26.75 Radius of convergence (six term test) for eq 1 = 0.05794 Order of pole (six term test) = -11.42 TOP MAIN SOLVE Loop x[1] = 0.1700000000000008 y[1] (analytic) = 1.513692179150224 y[1] (numeric) = 1.513692179150224 absolute error = 8.881784197001252e-16 relative error = 5.867629045944744e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000008 y[1] (analytic) = 1.511126175116667 y[1] (numeric) = 1.511126175116666 absolute error = 8.881784197001252e-16 relative error = 5.877592714132907e-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 = 0.009494 Order of pole (three term test) = -0.7711 Radius of convergence (six term test) for eq 1 = 0.8564 Order of pole (six term test) = -13.22 TOP MAIN SOLVE Loop x[1] = 0.1900000000000008 y[1] (analytic) = 1.508507481606617 y[1] (numeric) = 1.508507481606616 absolute error = 8.881784197001252e-16 relative error = 5.887795920999889e-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 = 0.006898 Order of pole (three term test) = -0.9997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000008 y[1] (analytic) = 1.505836332328024 y[1] (numeric) = 1.505836332328023 absolute error = 6.661338147750939e-16 relative error = 4.423680053895703e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000008 y[1] (analytic) = 1.503112960468764 y[1] (numeric) = 1.503112960468763 absolute error = 6.661338147750939e-16 relative error = 4.431694970997735e-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 = 0.004015 Order of pole (three term test) = -0.7763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000008 y[1] (analytic) = 1.500337598697422 y[1] (numeric) = 1.500337598697421 absolute error = 6.661338147750939e-16 relative error = 4.439892830476452e-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 = 0.008511 Order of pole (three term test) = 0.127 Radius of convergence (six term test) for eq 1 = 0.451 Order of pole (six term test) = -13.31 TOP MAIN SOLVE Loop x[1] = 0.2300000000000008 y[1] (analytic) = 1.497510479164076 y[1] (numeric) = 1.497510479164075 absolute error = 6.661338147750939e-16 relative error = 4.448274813722411e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000008 y[1] (analytic) = 1.494631833501086 y[1] (numeric) = 1.494631833501085 absolute error = 6.661338147750939e-16 relative error = 4.456842145632048e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000008 y[1] (analytic) = 1.491701892823871 y[1] (numeric) = 1.491701892823871 absolute error = 6.661338147750939e-16 relative error = 4.465596095169303e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.208 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 0.2600000000000008 y[1] (analytic) = 1.488720887731701 y[1] (numeric) = 1.4887208877317 absolute error = 6.661338147750939e-16 relative error = 4.47453797595366e-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 = 0.9588 Order of pole (three term test) = -300.3 Radius of convergence (six term test) for eq 1 = 0.2257 Order of pole (six term test) = -11.88 TOP MAIN SOLVE Loop x[1] = 0.2700000000000009 y[1] (analytic) = 1.485689048308467 y[1] (numeric) = 1.485689048308466 absolute error = 6.661338147750939e-16 relative error = 4.483669146875124e-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 = 0.0296 Order of pole (three term test) = 3.945 Radius of convergence (six term test) for eq 1 = 1.211 Order of pole (six term test) = -14.98 TOP MAIN SOLVE Loop x[1] = 0.2800000000000009 y[1] (analytic) = 1.482606604123472 y[1] (numeric) = 1.482606604123472 absolute error = 6.661338147750939e-16 relative error = 4.492991012736767e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000009 y[1] (analytic) = 1.479473784232207 y[1] (numeric) = 1.479473784232206 absolute error = 6.661338147750939e-16 relative error = 4.502505024925421e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.013 Order of pole (six term test) = -9.717 TOP MAIN SOLVE Loop x[1] = 0.3000000000000009 y[1] (analytic) = 1.476290817177127 y[1] (numeric) = 1.476290817177127 absolute error = 6.661338147750939e-16 relative error = 4.512212682111199e-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 = 0.1378 Order of pole (three term test) = -38.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000009 y[1] (analytic) = 1.473057930988435 y[1] (numeric) = 1.473057930988435 absolute error = 6.661338147750939e-16 relative error = 4.522115530976518e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000009 y[1] (analytic) = 1.469775353184856 y[1] (numeric) = 1.469775353184855 absolute error = 6.661338147750939e-16 relative error = 4.53221516697534e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000009 y[1] (analytic) = 1.466443310774411 y[1] (numeric) = 1.466443310774411 absolute error = 6.661338147750939e-16 relative error = 4.5425132351234e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2023 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 0.3400000000000009 y[1] (analytic) = 1.4630620302552 y[1] (numeric) = 1.463062030255199 absolute error = 8.881784197001252e-16 relative error = 6.070681907760272e-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 = 0.002968 Order of pole (three term test) = -25.41 Radius of convergence (six term test) for eq 1 = 0.2269 Order of pole (six term test) = -11.36 TOP MAIN SOLVE Loop x[1] = 0.3500000000000009 y[1] (analytic) = 1.459631737616166 y[1] (numeric) = 1.459631737616165 absolute error = 8.881784197001252e-16 relative error = 6.084948667604858e-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 = 0.05006 Order of pole (three term test) = -2.34 Radius of convergence (six term test) for eq 1 = 0.3263 Order of pole (six term test) = -12.45 TOP MAIN SOLVE Loop x[1] = 0.3600000000000009 y[1] (analytic) = 1.456152658337879 y[1] (numeric) = 1.456152658337878 absolute error = 8.881784197001252e-16 relative error = 6.099486991384087e-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 = 0.04519 Order of pole (three term test) = -12.23 Radius of convergence (six term test) for eq 1 = 0.2418 Order of pole (six term test) = -11.93 TOP MAIN SOLVE Loop x[1] = 0.3700000000000009 y[1] (analytic) = 1.452625017393303 y[1] (numeric) = 1.452625017393302 absolute error = 1.110223024625157e-15 relative error = 7.642874185227944e-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 = 0.006282 Order of pole (three term test) = -1.478 Radius of convergence (six term test) for eq 1 = 0.2263 Order of pole (six term test) = -11.98 TOP MAIN SOLVE Loop x[1] = 0.3800000000000009 y[1] (analytic) = 1.449049039248566 y[1] (numeric) = 1.449049039248565 absolute error = 8.881784197001252e-16 relative error = 6.129388279093082e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.390000000000001 y[1] (analytic) = 1.445424947863739 y[1] (numeric) = 1.445424947863738 absolute error = 8.881784197001252e-16 relative error = 6.144756398544288e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.400000000000001 y[1] (analytic) = 1.441752966693596 y[1] (numeric) = 1.441752966693596 absolute error = 8.881784197001252e-16 relative error = 6.160406395674039e-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 = 0.0002204 Order of pole (three term test) = -0.8924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.410000000000001 y[1] (analytic) = 1.438033318688393 y[1] (numeric) = 1.438033318688392 absolute error = 8.881784197001252e-16 relative error = 6.176341035757213e-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 = 0.04424 Order of pole (three term test) = -32.24 Radius of convergence (six term test) for eq 1 = 0.3121 Order of pole (six term test) = -10.59 TOP MAIN SOLVE Loop x[1] = 0.420000000000001 y[1] (analytic) = 1.434266226294628 y[1] (numeric) = 1.434266226294627 absolute error = 8.881784197001252e-16 relative error = 6.192563161685124e-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 = 0.04111 Order of pole (three term test) = -31.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.430000000000001 y[1] (analytic) = 1.430451911455813 y[1] (numeric) = 1.430451911455813 absolute error = 8.881784197001252e-16 relative error = 6.20907569549961e-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 = 0.01475 Order of pole (three term test) = -27.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.440000000000001 y[1] (analytic) = 1.426590595613241 y[1] (numeric) = 1.42659059561324 absolute error = 1.110223024625157e-15 relative error = 7.782352049979065e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.313 Order of pole (six term test) = -11.71 TOP MAIN SOLVE Loop x[1] = 0.450000000000001 y[1] (analytic) = 1.422682499706748 y[1] (numeric) = 1.422682499706748 absolute error = 8.881784197001252e-16 relative error = 6.24298408030746e-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 = 0.033 Order of pole (three term test) = -2.871 Radius of convergence (six term test) for eq 1 = 0.6143 Order of pole (six term test) = -12.09 TOP MAIN SOLVE Loop x[1] = 0.460000000000001 y[1] (analytic) = 1.418727844175482 y[1] (numeric) = 1.418727844175481 absolute error = 8.881784197001252e-16 relative error = 6.260386185740263e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2416 Order of pole (six term test) = -12.2 TOP MAIN SOLVE Loop x[1] = 0.470000000000001 y[1] (analytic) = 1.414726848958663 y[1] (numeric) = 1.414726848958662 absolute error = 8.881784197001252e-16 relative error = 6.278091211415731e-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 = 0.007627 Order of pole (three term test) = -1.092 Radius of convergence (six term test) for eq 1 = 0.6167 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = 0.480000000000001 y[1] (analytic) = 1.410679733496349 y[1] (numeric) = 1.410679733496347 absolute error = 1.110223024625157e-15 relative error = 7.870128125208728e-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 = 0.03777 Order of pole (three term test) = -15.98 Radius of convergence (six term test) for eq 1 = 0.08823 Order of pole (six term test) = -11.91 TOP MAIN SOLVE Loop x[1] = 0.490000000000001 y[1] (analytic) = 1.406586716730195 y[1] (numeric) = 1.406586716730194 absolute error = 8.881784197001252e-16 relative error = 6.314423484424895e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5825 Order of pole (six term test) = -10.15 TOP MAIN SOLVE Loop x[1] = 0.500000000000001 y[1] (analytic) = 1.402448017104221 y[1] (numeric) = 1.40244801710422 absolute error = 1.110223024625157e-15 relative error = 7.916322110230858e-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 = 0.03403 Order of pole (three term test) = -28.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.510000000000001 y[1] (analytic) = 1.398263852565561 y[1] (numeric) = 1.39826385256556 absolute error = 1.110223024625157e-15 relative error = 7.940010911303316e-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 = 0.01584 Order of pole (three term test) = -11.36 Radius of convergence (six term test) for eq 1 = 0.7085 Order of pole (six term test) = -11.57 TOP MAIN SOLVE Loop x[1] = 0.520000000000001 y[1] (analytic) = 1.394034440565235 y[1] (numeric) = 1.394034440565233 absolute error = 1.332267629550188e-15 relative error = 9.556920480458128e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3362 Order of pole (six term test) = -11.52 TOP MAIN SOLVE Loop x[1] = 0.530000000000001 y[1] (analytic) = 1.389759998058896 y[1] (numeric) = 1.389759998058895 absolute error = 8.881784197001252e-16 relative error = 6.390876273174224e-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 = 0.008652 Order of pole (three term test) = -10.34 Radius of convergence (six term test) for eq 1 = 0.125 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = 0.540000000000001 y[1] (analytic) = 1.385440741507598 y[1] (numeric) = 1.385440741507597 absolute error = 8.881784197001252e-16 relative error = 6.410800499006795e-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 = 0.04828 Order of pole (three term test) = -18.15 Radius of convergence (six term test) for eq 1 = 0.3553 Order of pole (six term test) = -12.12 TOP MAIN SOLVE Loop x[1] = 0.550000000000001 y[1] (analytic) = 1.381076886878545 y[1] (numeric) = 1.381076886878545 absolute error = 8.881784197001252e-16 relative error = 6.431057011659578e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000011 y[1] (analytic) = 1.376668649645853 y[1] (numeric) = 1.376668649645852 absolute error = 1.110223024625157e-15 relative error = 8.064562412391394e-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 = 0.03996 Order of pole (three term test) = -24.14 Radius of convergence (six term test) for eq 1 = 0.3645 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 0.5700000000000011 y[1] (analytic) = 1.372216244791299 y[1] (numeric) = 1.372216244791298 absolute error = 1.110223024625157e-15 relative error = 8.090729349979461e-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 = 0.1352 Order of pole (three term test) = -23.57 Radius of convergence (six term test) for eq 1 = 0.3324 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 0.5800000000000011 y[1] (analytic) = 1.36771988680508 y[1] (numeric) = 1.367719886805079 absolute error = 8.881784197001252e-16 relative error = 6.493861998123476e-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 = 0.05299 Order of pole (three term test) = -29.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000011 y[1] (analytic) = 1.363179789686565 y[1] (numeric) = 1.363179789686564 absolute error = 1.110223024625157e-15 relative error = 8.144362416643733e-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 = 0.03645 Order of pole (three term test) = -7.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000011 y[1] (analytic) = 1.358596166945045 y[1] (numeric) = 1.358596166945044 absolute error = 8.881784197001252e-16 relative error = 6.537471850058975e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1349 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 0.6100000000000011 y[1] (analytic) = 1.353969231600489 y[1] (numeric) = 1.353969231600488 absolute error = 8.881784197001252e-16 relative error = 6.559812431263558e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000011 y[1] (analytic) = 1.349299196184292 y[1] (numeric) = 1.34929919618429 absolute error = 1.110223024625157e-15 relative error = 8.228145601544691e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.976 Order of pole (six term test) = -4.955 TOP MAIN SOLVE Loop x[1] = 0.6300000000000011 y[1] (analytic) = 1.344586272740023 y[1] (numeric) = 1.344586272740022 absolute error = 8.881784197001252e-16 relative error = 6.605588928780141e-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 = 0.02758 Order of pole (three term test) = -11.31 Radius of convergence (six term test) for eq 1 = 0.3668 Order of pole (six term test) = -10.61 TOP MAIN SOLVE Loop x[1] = 0.6400000000000011 y[1] (analytic) = 1.33983067282418 y[1] (numeric) = 1.339830672824179 absolute error = 1.110223024625157e-15 relative error = 8.286293538010726e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000011 y[1] (analytic) = 1.335032607506931 y[1] (numeric) = 1.33503260750693 absolute error = 6.661338147750939e-16 relative error = 4.989644530248942e-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 = 0.02761 Order of pole (three term test) = -4.196 Radius of convergence (six term test) for eq 1 = 0.403 Order of pole (six term test) = -11.34 TOP MAIN SOLVE Loop x[1] = 0.6600000000000011 y[1] (analytic) = 1.330192287372866 y[1] (numeric) = 1.330192287372865 absolute error = 6.661338147750939e-16 relative error = 5.007800910428601e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5152 Order of pole (six term test) = -10.1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000012 y[1] (analytic) = 1.325309922521741 y[1] (numeric) = 1.32530992252174 absolute error = 1.110223024625157e-15 relative error = 8.377082263993565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000012 y[1] (analytic) = 1.320385722569226 y[1] (numeric) = 1.320385722569225 absolute error = 8.881784197001252e-16 relative error = 6.726658767347883e-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 = 0.2461 Order of pole (three term test) = 36.62 Radius of convergence (six term test) for eq 1 = 0.7393 Order of pole (six term test) = -11.97 TOP MAIN SOLVE Loop x[1] = 0.6900000000000012 y[1] (analytic) = 1.315419896647645 y[1] (numeric) = 1.315419896647644 absolute error = 6.661338147750939e-16 relative error = 5.06403937231556e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000012 y[1] (analytic) = 1.310412653406727 y[1] (numeric) = 1.310412653406726 absolute error = 8.881784197001252e-16 relative error = 6.777852895353964e-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 = 0.09581 Order of pole (three term test) = -7.066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000012 y[1] (analytic) = 1.305364201014339 y[1] (numeric) = 1.305364201014338 absolute error = 6.661338147750939e-16 relative error = 5.103049511067269e-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 = 0.1026 Order of pole (three term test) = -27.74 Radius of convergence (six term test) for eq 1 = 0.3985 Order of pole (six term test) = -11.16 TOP MAIN SOLVE Loop x[1] = 0.7200000000000012 y[1] (analytic) = 1.30027474715724 y[1] (numeric) = 1.300274747157238 absolute error = 1.110223024625157e-15 relative error = 8.538372578967725e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4027 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = 0.7300000000000012 y[1] (analytic) = 1.295144499041809 y[1] (numeric) = 1.295144499041808 absolute error = 6.661338147750939e-16 relative error = 5.143316558638221e-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 = 0.004405 Order of pole (three term test) = 2.119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000012 y[1] (analytic) = 1.289973663394798 y[1] (numeric) = 1.289973663394797 absolute error = 8.881784197001252e-16 relative error = 6.885244597651116e-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 = 0.06464 Order of pole (three term test) = -13.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000012 y[1] (analytic) = 1.284762446464062 y[1] (numeric) = 1.284762446464061 absolute error = 8.881784197001252e-16 relative error = 6.913172331154137e-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 = 0.09271 Order of pole (three term test) = 17.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000012 y[1] (analytic) = 1.279511054019302 y[1] (numeric) = 1.279511054019302 absolute error = 6.661338147750939e-16 relative error = 5.206159123694798e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.395 Order of pole (six term test) = -7.292 TOP MAIN SOLVE Loop x[1] = 0.7700000000000012 y[1] (analytic) = 1.274219691352803 y[1] (numeric) = 1.274219691352802 absolute error = 8.881784197001252e-16 relative error = 6.970371166978052e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2107 Order of pole (six term test) = -11.48 TOP MAIN SOLVE Loop x[1] = 0.7800000000000012 y[1] (analytic) = 1.268888563280167 y[1] (numeric) = 1.268888563280167 absolute error = 8.881784197001252e-16 relative error = 6.999656592412817e-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 = 0.4048 Order of pole (three term test) = -78.92 Radius of convergence (six term test) for eq 1 = 1.539 Order of pole (six term test) = -14.81 TOP MAIN SOLVE Loop x[1] = 0.7900000000000013 y[1] (analytic) = 1.263517874141054 y[1] (numeric) = 1.263517874141054 absolute error = 4.440892098500626e-16 relative error = 3.514704611139409e-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 = 0.2499 Order of pole (three term test) = -55.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000013 y[1] (analytic) = 1.258107827799914 y[1] (numeric) = 1.258107827799913 absolute error = 8.881784197001252e-16 relative error = 7.059636702629106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2918 Order of pole (six term test) = -12 TOP MAIN SOLVE Loop x[1] = 0.8100000000000013 y[1] (analytic) = 1.252658627646721 y[1] (numeric) = 1.25265862764672 absolute error = 8.881784197001252e-16 relative error = 7.090346883800909e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000013 y[1] (analytic) = 1.24717047659771 y[1] (numeric) = 1.247170476597709 absolute error = 1.110223024625157e-15 relative error = 8.901934783237115e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7478 Order of pole (six term test) = 4.356 TOP MAIN SOLVE Loop x[1] = 0.8300000000000013 y[1] (analytic) = 1.241643577096104 y[1] (numeric) = 1.241643577096103 absolute error = 8.881784197001252e-16 relative error = 7.153247808661436e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000013 y[1] (analytic) = 1.236078131112851 y[1] (numeric) = 1.23607813111285 absolute error = 8.881784197001252e-16 relative error = 7.1854553312135e-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 = 0.2594 Order of pole (three term test) = -81.91 Radius of convergence (six term test) for eq 1 = 1.362 Order of pole (six term test) = -7.964 TOP MAIN SOLVE Loop x[1] = 0.8500000000000013 y[1] (analytic) = 1.230474340147351 y[1] (numeric) = 1.23047434014735 absolute error = 1.110223024625157e-15 relative error = 9.022723907368971e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000013 y[1] (analytic) = 1.224832405228189 y[1] (numeric) = 1.224832405228188 absolute error = 8.881784197001252e-16 relative error = 7.251428161999481e-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 = 0.0688 Order of pole (three term test) = -13.7 Radius of convergence (six term test) for eq 1 = 2.03 Order of pole (six term test) = 5.704 TOP MAIN SOLVE Loop x[1] = 0.8700000000000013 y[1] (analytic) = 1.219152526913863 y[1] (numeric) = 1.219152526913862 absolute error = 1.110223024625157e-15 relative error = 9.106514567422925e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.47 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 0.8800000000000013 y[1] (analytic) = 1.213434905293511 y[1] (numeric) = 1.213434905293509 absolute error = 1.110223024625157e-15 relative error = 9.149423836267603e-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 = 0.05327 Order of pole (three term test) = -15.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000013 y[1] (analytic) = 1.207679739987638 y[1] (numeric) = 1.207679739987637 absolute error = 6.661338147750939e-16 relative error = 5.515815101625475e-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 = 0.002697 Order of pole (three term test) = -0.9143 Radius of convergence (six term test) for eq 1 = 0.5316 Order of pole (six term test) = -11.88 TOP MAIN SOLVE Loop x[1] = 0.9000000000000014 y[1] (analytic) = 1.201887230148848 y[1] (numeric) = 1.201887230148847 absolute error = 8.881784197001252e-16 relative error = 7.389864851048701e-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 = 0.006973 Order of pole (three term test) = -0.7796 Radius of convergence (six term test) for eq 1 = 0.6329 Order of pole (six term test) = -12.84 TOP MAIN SOLVE Loop x[1] = 0.9100000000000014 y[1] (analytic) = 1.196057574462563 y[1] (numeric) = 1.196057574462562 absolute error = 6.661338147750939e-16 relative error = 5.569412618572437e-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 = 0.1089 Order of pole (three term test) = -27.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000014 y[1] (analytic) = 1.190190971147752 y[1] (numeric) = 1.190190971147751 absolute error = 8.881784197001252e-16 relative error = 7.462486619635645e-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 = 0.01721 Order of pole (three term test) = -3.12 Radius of convergence (six term test) for eq 1 = 0.4674 Order of pole (six term test) = -11.43 TOP MAIN SOLVE Loop x[1] = 0.9300000000000014 y[1] (analytic) = 1.184287617957653 y[1] (numeric) = 1.184287617957652 absolute error = 8.881784197001252e-16 relative error = 7.499685095347203e-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 = 0.4204 Order of pole (three term test) = -98.53 Radius of convergence (six term test) for eq 1 = 0.8147 Order of pole (six term test) = -11.78 TOP MAIN SOLVE Loop x[1] = 0.9400000000000014 y[1] (analytic) = 1.178347712180498 y[1] (numeric) = 1.178347712180497 absolute error = 1.332267629550188e-15 relative error = 1.130623512719234e-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 = 0.3847 Order of pole (three term test) = 60.43 Radius of convergence (six term test) for eq 1 = 0.6095 Order of pole (six term test) = -12.2 TOP MAIN SOLVE Loop x[1] = 0.9500000000000014 y[1] (analytic) = 1.172371450640233 y[1] (numeric) = 1.172371450640232 absolute error = 6.661338147750939e-16 relative error = 5.681934803268349e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000014 y[1] (analytic) = 1.166359029697242 y[1] (numeric) = 1.166359029697241 absolute error = 8.881784197001252e-16 relative error = 7.614965864590375e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.179 Order of pole (six term test) = -12.4 TOP MAIN SOLVE Loop x[1] = 0.9700000000000014 y[1] (analytic) = 1.160310645249068 y[1] (numeric) = 1.160310645249067 absolute error = 8.881784197001252e-16 relative error = 7.654660614696613e-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 = 0.02422 Order of pole (three term test) = -13.09 Radius of convergence (six term test) for eq 1 = 0.4508 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 0.9800000000000014 y[1] (analytic) = 1.154226492731128 y[1] (numeric) = 1.154226492731127 absolute error = 1.110223024625157e-15 relative error = 9.618762276008321e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000014 y[1] (analytic) = 1.148106767117438 y[1] (numeric) = 1.148106767117437 absolute error = 8.881784197001252e-16 relative error = 7.736026344745647e-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 = 0.04382 Order of pole (three term test) = -25.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 1.141951662921328 y[1] (numeric) = 1.141951662921326 absolute error = 1.110223024625157e-15 relative error = 9.722154279148706e-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 = 0.02498 Order of pole (three term test) = -28.15 Radius of convergence (six term test) for eq 1 = 0.1615 Order of pole (six term test) = -11.63 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 1.135761374196159 y[1] (numeric) = 1.135761374196158 absolute error = 8.881784197001252e-16 relative error = 7.820114681472933e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 1.129536094536042 y[1] (numeric) = 1.12953609453604 absolute error = 1.110223024625157e-15 relative error = 9.829017682530828e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 1.12327601707655 y[1] (numeric) = 1.123276017076549 absolute error = 1.332267629550188e-15 relative error = 1.186055438998477e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2501 Order of pole (six term test) = -11.92 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 1.116981334495436 y[1] (numeric) = 1.116981334495435 absolute error = 6.661338147750939e-16 relative error = 5.963696923154054e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 1.110652239013346 y[1] (numeric) = 1.110652239013345 absolute error = 8.881784197001252e-16 relative error = 7.996908379612535e-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 = 0.1949 Order of pole (three term test) = -7.855 Radius of convergence (six term test) for eq 1 = 1.327 Order of pole (six term test) = -12.39 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 1.104288922394532 y[1] (numeric) = 1.10428892239453 absolute error = 1.110223024625157e-15 relative error = 1.005373686279273e-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 = 0.1163 Order of pole (three term test) = -32.5 Radius of convergence (six term test) for eq 1 = 0.3707 Order of pole (six term test) = -11.84 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 1.097891575947561 y[1] (numeric) = 1.09789157594756 absolute error = 1.332267629550188e-15 relative error = 1.213478324032446e-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 = 0.09689 Order of pole (three term test) = -11.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 1.091460390526033 y[1] (numeric) = 1.091460390526032 absolute error = 8.881784197001252e-16 relative error = 8.137523151637821e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 1.084995556529287 y[1] (numeric) = 1.084995556529287 absolute error = 6.661338147750939e-16 relative error = 6.139507307347326e-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 = 0.06857 Order of pole (three term test) = -25.08 Radius of convergence (six term test) for eq 1 = 0.08893 Order of pole (six term test) = -11.42 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 1.078497263903113 y[1] (numeric) = 1.078497263903112 absolute error = 1.110223024625157e-15 relative error = 1.029416635335009e-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 = 0.005633 Order of pole (three term test) = -25.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 1.071965702140457 y[1] (numeric) = 1.071965702140457 absolute error = 8.881784197001252e-16 relative error = 8.285511541336134e-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 = 0.0588 Order of pole (three term test) = 4.808 Radius of convergence (six term test) for eq 1 = 3.018 Order of pole (six term test) = -20.3 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 1.065401060282135 y[1] (numeric) = 1.065401060282134 absolute error = 1.332267629550188e-15 relative error = 1.250484610178051e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5748 Order of pole (six term test) = -12.27 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 1.058803526917534 y[1] (numeric) = 1.058803526917533 absolute error = 1.110223024625157e-15 relative error = 1.048563776376264e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 1.052173290185325 y[1] (numeric) = 1.052173290185324 absolute error = 8.881784197001252e-16 relative error = 8.441370142970326e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 1.045510537774162 y[1] (numeric) = 1.045510537774162 absolute error = 8.881784197001252e-16 relative error = 8.49516468376312e-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 = 0.1576 Order of pole (three term test) = -28.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 1.038815456923394 y[1] (numeric) = 1.038815456923393 absolute error = 1.110223024625157e-15 relative error = 1.068739415866266e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2869 Order of pole (six term test) = -12.11 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 1.032088234423762 y[1] (numeric) = 1.032088234423761 absolute error = 8.881784197001252e-16 relative error = 8.605644266413089e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.2 Order of pole (six term test) = -9.072 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 1.025329056618105 y[1] (numeric) = 1.025329056618104 absolute error = 1.110223024625157e-15 relative error = 1.082796803093693e-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 = 0.0223 Order of pole (three term test) = -2.558 Radius of convergence (six term test) for eq 1 = 0.8418 Order of pole (six term test) = -10.78 TOP MAIN SOLVE Loop x[1] = 1.190000000000002 y[1] (analytic) = 1.018538109402063 y[1] (numeric) = 1.018538109402062 absolute error = 6.661338147750939e-16 relative error = 6.540097111988776e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000002 y[1] (analytic) = 1.01171557822478 y[1] (numeric) = 1.011715578224779 absolute error = 1.110223024625157e-15 relative error = 1.097366738755989e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.235 Order of pole (six term test) = -11.46 TOP MAIN SOLVE Loop x[1] = 1.210000000000002 y[1] (analytic) = 1.004861648089598 y[1] (numeric) = 1.004861648089598 absolute error = 6.661338147750939e-16 relative error = 6.629109749003957e-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 = 0.1586 Order of pole (three term test) = -25.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000002 y[1] (analytic) = 0.997976503554767 y[1] (numeric) = 0.997976503554766 absolute error = 9.992007221626409e-16 relative error = 1.001226700832648e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6334 Order of pole (six term test) = -10.84 TOP MAIN SOLVE Loop x[1] = 1.230000000000002 y[1] (analytic) = 0.9910603287341335 y[1] (numeric) = 0.9910603287341323 absolute error = 1.221245327087672e-15 relative error = 1.232261338366304e-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) = -54.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000002 y[1] (analytic) = 0.9841133072978452 y[1] (numeric) = 0.9841133072978444 absolute error = 7.771561172376096e-16 relative error = 7.897018681431169e-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 = 0.03075 Order of pole (three term test) = -27.35 Radius of convergence (six term test) for eq 1 = 0.3437 Order of pole (six term test) = -11.28 TOP MAIN SOLVE Loop x[1] = 1.250000000000002 y[1] (analytic) = 0.9771356224730476 y[1] (numeric) = 0.9771356224730471 absolute error = 5.551115123125783e-16 relative error = 5.681007830905171e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000002 y[1] (analytic) = 0.9701274570445799 y[1] (numeric) = 0.9701274570445786 absolute error = 1.332267629550188e-15 relative error = 1.373291333912804e-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 = 1.017 Order of pole (three term test) = -146.6 Radius of convergence (six term test) for eq 1 = 1.006 Order of pole (six term test) = -13.3 TOP MAIN SOLVE Loop x[1] = 1.270000000000002 y[1] (analytic) = 0.9630889933556673 y[1] (numeric) = 0.9630889933556662 absolute error = 1.110223024625157e-15 relative error = 1.152773037885973e-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 = 0.3447 Order of pole (three term test) = -49.74 Radius of convergence (six term test) for eq 1 = 1.077 Order of pole (six term test) = -10.82 TOP MAIN SOLVE Loop x[1] = 1.280000000000002 y[1] (analytic) = 0.9560204133086224 y[1] (numeric) = 0.9560204133086212 absolute error = 1.221245327087672e-15 relative error = 1.277425994347916e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000002 y[1] (analytic) = 0.9489218983655341 y[1] (numeric) = 0.948921898365533 absolute error = 1.110223024625157e-15 relative error = 1.169983564018761e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000002 y[1] (analytic) = 0.9417936295489632 y[1] (numeric) = 0.9417936295489624 absolute error = 7.771561172376096e-16 relative error = 8.251872733624237e-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 = 45.58 Order of pole (three term test) = -6478 Radius of convergence (six term test) for eq 1 = 0.5837 Order of pole (six term test) = -12.04 TOP MAIN SOLVE Loop x[1] = 1.310000000000002 y[1] (analytic) = 0.9346357874426352 y[1] (numeric) = 0.9346357874426339 absolute error = 1.332267629550188e-15 relative error = 1.425440420161482e-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 = 0.003587 Order of pole (three term test) = -0.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000002 y[1] (analytic) = 0.9274485521921282 y[1] (numeric) = 0.9274485521921273 absolute error = 8.881784197001252e-16 relative error = 9.576578858210694e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4959 Order of pole (six term test) = -11.08 TOP MAIN SOLVE Loop x[1] = 1.330000000000002 y[1] (analytic) = 0.9202321035055698 y[1] (numeric) = 0.9202321035055688 absolute error = 9.992007221626409e-16 relative error = 1.085813805404359e-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 = 0.9992 Order of pole (three term test) = -574.7 Radius of convergence (six term test) for eq 1 = 0.7525 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 1.340000000000002 y[1] (analytic) = 0.9129866206543219 y[1] (numeric) = 0.9129866206543207 absolute error = 1.221245327087672e-15 relative error = 1.337637704057948e-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 = 6.086 Order of pole (three term test) = -290.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000002 y[1] (analytic) = 0.9057122824736721 y[1] (numeric) = 0.9057122824736705 absolute error = 1.554312234475219e-15 relative error = 1.716121404724796e-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 = 0.6823 Order of pole (three term test) = -139.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000002 y[1] (analytic) = 0.898409267363521 y[1] (numeric) = 0.8984092673635197 absolute error = 1.332267629550188e-15 relative error = 1.482918395821841e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000002 y[1] (analytic) = 0.8910777532890719 y[1] (numeric) = 0.8910777532890708 absolute error = 1.110223024625157e-15 relative error = 1.245932827440921e-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 = 0.0791 Order of pole (three term test) = -16.74 Radius of convergence (six term test) for eq 1 = 0.8028 Order of pole (six term test) = -11.24 TOP MAIN SOLVE Loop x[1] = 1.380000000000002 y[1] (analytic) = 0.8837179177815153 y[1] (numeric) = 0.8837179177815143 absolute error = 9.992007221626409e-16 relative error = 1.130678355680547e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1932 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 1.390000000000002 y[1] (analytic) = 0.8763299379387163 y[1] (numeric) = 0.8763299379387148 absolute error = 1.443289932012704e-15 relative error = 1.646970929017418e-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 = 0.07438 Order of pole (three term test) = -34.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000002 y[1] (analytic) = 0.8689139904258971 y[1] (numeric) = 0.8689139904258958 absolute error = 1.332267629550188e-15 relative error = 1.533256046317287e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000002 y[1] (analytic) = 0.8614702514763251 y[1] (numeric) = 0.8614702514763241 absolute error = 9.992007221626409e-16 relative error = 1.159878382858007e-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 = 0.08383 Order of pole (three term test) = -38.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000002 y[1] (analytic) = 0.8539988968919947 y[1] (numeric) = 0.8539988968919933 absolute error = 1.443289932012704e-15 relative error = 1.690037232208786e-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 = 0.01662 Order of pole (three term test) = -1.675 Radius of convergence (six term test) for eq 1 = 0.2899 Order of pole (six term test) = -11.21 TOP MAIN SOLVE Loop x[1] = 1.430000000000002 y[1] (analytic) = 0.8465001020443081 y[1] (numeric) = 0.8465001020443066 absolute error = 1.554312234475219e-15 relative error = 1.836163079864416e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8322 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = 1.440000000000002 y[1] (analytic) = 0.8389740418747599 y[1] (numeric) = 0.8389740418747584 absolute error = 1.443289932012704e-15 relative error = 1.720303442032065e-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 = 0.0478 Order of pole (three term test) = -33.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000002 y[1] (analytic) = 0.831420890895617 y[1] (numeric) = 0.8314208908956159 absolute error = 1.110223024625157e-15 relative error = 1.335332124538283e-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 = 0.04563 Order of pole (three term test) = -34.27 Radius of convergence (six term test) for eq 1 = 0.3351 Order of pole (six term test) = -11.59 TOP MAIN SOLVE Loop x[1] = 1.460000000000002 y[1] (analytic) = 0.8238408231905998 y[1] (numeric) = 0.8238408231905985 absolute error = 1.332267629550188e-15 relative error = 1.617142040121944e-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 = 0.01289 Order of pole (three term test) = -1.189 Radius of convergence (six term test) for eq 1 = 0.5858 Order of pole (six term test) = -12.06 TOP MAIN SOLVE Loop x[1] = 1.470000000000002 y[1] (analytic) = 0.8162340124155594 y[1] (numeric) = 0.816234012415558 absolute error = 1.332267629550188e-15 relative error = 1.632212832699143e-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 = 0.04477 Order of pole (three term test) = 8.551 Radius of convergence (six term test) for eq 1 = 0.08966 Order of pole (six term test) = -12.42 TOP MAIN SOLVE Loop x[1] = 1.480000000000002 y[1] (analytic) = 0.8086006317991582 y[1] (numeric) = 0.8086006317991573 absolute error = 8.881784197001252e-16 relative error = 1.098414204455795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2808 Order of pole (six term test) = -11.93 TOP MAIN SOLVE Loop x[1] = 1.490000000000002 y[1] (analytic) = 0.8009408541435482 y[1] (numeric) = 0.8009408541435474 absolute error = 7.771561172376096e-16 relative error = 9.703040033694225e-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 = 0.06022 Order of pole (three term test) = -30.78 Radius of convergence (six term test) for eq 1 = 0.8567 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = 1.500000000000002 y[1] (analytic) = 0.7932548518250467 y[1] (numeric) = 0.7932548518250455 absolute error = 1.221245327087672e-15 relative error = 1.539537166747792e-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 = 0.123 Order of pole (three term test) = -23.07 Radius of convergence (six term test) for eq 1 = 0.4184 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = 1.510000000000002 y[1] (analytic) = 0.7855427967948118 y[1] (numeric) = 0.7855427967948104 absolute error = 1.332267629550188e-15 relative error = 1.695983509728731e-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 = 0.05223 Order of pole (three term test) = -30.53 Radius of convergence (six term test) for eq 1 = 0.4351 Order of pole (six term test) = -11.37 TOP MAIN SOLVE Loop x[1] = 1.520000000000002 y[1] (analytic) = 0.7778048605795195 y[1] (numeric) = 0.7778048605795186 absolute error = 8.881784197001252e-16 relative error = 1.141903920526248e-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 = 0.1907 Order of pole (three term test) = -49.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000002 y[1] (analytic) = 0.7700412142820391 y[1] (numeric) = 0.7700412142820383 absolute error = 7.771561172376096e-16 relative error = 1.009239639156463e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000002 y[1] (analytic) = 0.7622520285821049 y[1] (numeric) = 0.7622520285821039 absolute error = 9.992007221626409e-16 relative error = 1.310853477190862e-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 = 0.01523 Order of pole (three term test) = -1.925 Radius of convergence (six term test) for eq 1 = 0.8305 Order of pole (six term test) = -10.16 TOP MAIN SOLVE Loop x[1] = 1.550000000000002 y[1] (analytic) = 0.7544374737369897 y[1] (numeric) = 0.7544374737369887 absolute error = 9.992007221626409e-16 relative error = 1.324431456477439e-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 = 0.1308 Order of pole (three term test) = -40.96 Radius of convergence (six term test) for eq 1 = 0.5339 Order of pole (six term test) = -11.94 TOP MAIN SOLVE Loop x[1] = 1.560000000000002 y[1] (analytic) = 0.7465977195821782 y[1] (numeric) = 0.7465977195821768 absolute error = 1.443289932012704e-15 relative error = 1.933156094851747e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5502 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 1.570000000000002 y[1] (analytic) = 0.7387329355320366 y[1] (numeric) = 0.7387329355320352 absolute error = 1.332267629550188e-15 relative error = 1.80344961686416e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000002 y[1] (analytic) = 0.7308432905804857 y[1] (numeric) = 0.7308432905804843 absolute error = 1.443289932012704e-15 relative error = 1.974828189044937e-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 = 0.04609 Order of pole (three term test) = -32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000002 y[1] (analytic) = 0.7229289533016684 y[1] (numeric) = 0.7229289533016672 absolute error = 1.221245327087672e-15 relative error = 1.689302000577176e-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 = 0.01406 Order of pole (three term test) = -0.4014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000002 y[1] (analytic) = 0.7149900918506207 y[1] (numeric) = 0.7149900918506195 absolute error = 1.221245327087672e-15 relative error = 1.708059092017209e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.058 Order of pole (six term test) = -11.13 TOP MAIN SOLVE Loop x[1] = 1.610000000000002 y[1] (analytic) = 0.7070268739639382 y[1] (numeric) = 0.707026873963937 absolute error = 1.110223024625157e-15 relative error = 1.570269908413387e-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 = 0.1033 Order of pole (three term test) = -16.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000002 y[1] (analytic) = 0.6990394669604445 y[1] (numeric) = 0.6990394669604437 absolute error = 7.771561172376096e-16 relative error = 1.111748554937579e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000002 y[1] (analytic) = 0.6910280377418594 y[1] (numeric) = 0.6910280377418578 absolute error = 1.554312234475219e-15 relative error = 2.24927520966356e-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 = 0.09246 Order of pole (three term test) = -24.35 Radius of convergence (six term test) for eq 1 = 0.3671 Order of pole (six term test) = -10.52 TOP MAIN SOLVE Loop x[1] = 1.640000000000002 y[1] (analytic) = 0.6829927527934595 y[1] (numeric) = 0.6829927527934584 absolute error = 1.110223024625157e-15 relative error = 1.625526801103399e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000002 y[1] (analytic) = 0.6749337781847504 y[1] (numeric) = 0.6749337781847496 absolute error = 7.771561172376096e-16 relative error = 1.151455361039698e-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 = 0.008152 Order of pole (three term test) = -23.22 Radius of convergence (six term test) for eq 1 = 0.8951 Order of pole (six term test) = -11.82 TOP MAIN SOLVE Loop x[1] = 1.660000000000002 y[1] (analytic) = 0.6668512795701271 y[1] (numeric) = 0.6668512795701259 absolute error = 1.221245327087672e-15 relative error = 1.831360851365427e-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 = 0.1345 Order of pole (three term test) = -27.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000002 y[1] (analytic) = 0.6587454221895361 y[1] (numeric) = 0.6587454221895347 absolute error = 1.443289932012704e-15 relative error = 2.190967684018965e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1895 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 1.680000000000002 y[1] (analytic) = 0.650616370869141 y[1] (numeric) = 0.6506163708691397 absolute error = 1.332267629550188e-15 relative error = 2.047700748400239e-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 = 0.418 Order of pole (three term test) = -110 Radius of convergence (six term test) for eq 1 = 0.6714 Order of pole (six term test) = -9.032 TOP MAIN SOLVE Loop x[1] = 1.690000000000002 y[1] (analytic) = 0.6424642900219834 y[1] (numeric) = 0.6424642900219827 absolute error = 6.661338147750939e-16 relative error = 1.036841774898183e-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 = 0.1802 Order of pole (three term test) = -70.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000002 y[1] (analytic) = 0.6342893436486452 y[1] (numeric) = 0.6342893436486444 absolute error = 7.771561172376096e-16 relative error = 1.225239120000262e-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 = 0.03233 Order of pole (three term test) = -25.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000002 y[1] (analytic) = 0.6260916953379069 y[1] (numeric) = 0.6260916953379053 absolute error = 1.554312234475219e-15 relative error = 2.482563250797224e-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 = 0.2272 Order of pole (three term test) = -49.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000002 y[1] (analytic) = 0.6178715082674061 y[1] (numeric) = 0.6178715082674048 absolute error = 1.332267629550188e-15 relative error = 2.156221174991615e-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 = 0.09614 Order of pole (three term test) = -14.37 Radius of convergence (six term test) for eq 1 = 0.6063 Order of pole (six term test) = -11.84 TOP MAIN SOLVE Loop x[1] = 1.730000000000002 y[1] (analytic) = 0.6096289452043012 y[1] (numeric) = 0.6096289452043002 absolute error = 9.992007221626409e-16 relative error = 1.639030971253809e-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 = 0.1559 Order of pole (three term test) = -15.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000002 y[1] (analytic) = 0.6013641685059258 y[1] (numeric) = 0.6013641685059247 absolute error = 1.110223024625157e-15 relative error = 1.846174219830021e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000002 y[1] (analytic) = 0.5930773401204457 y[1] (numeric) = 0.5930773401204444 absolute error = 1.221245327087672e-15 relative error = 2.059167067215305e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7906 Order of pole (six term test) = -11.25 TOP MAIN SOLVE Loop x[1] = 1.760000000000002 y[1] (analytic) = 0.5847686215875161 y[1] (numeric) = 0.5847686215875153 absolute error = 7.771561172376096e-16 relative error = 1.328997638634926e-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 = 2.164 Order of pole (three term test) = -217.6 Radius of convergence (six term test) for eq 1 = 0.4591 Order of pole (six term test) = -12.31 TOP MAIN SOLVE Loop x[1] = 1.770000000000002 y[1] (analytic) = 0.5764381740389392 y[1] (numeric) = 0.5764381740389382 absolute error = 9.992007221626409e-16 relative error = 1.73340484229475e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000002 y[1] (analytic) = 0.5680861581993144 y[1] (numeric) = 0.568086158199314 absolute error = 4.440892098500626e-16 relative error = 7.817286223936702e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6451 Order of pole (six term test) = -11.75 TOP MAIN SOLVE Loop x[1] = 1.790000000000002 y[1] (analytic) = 0.5597127343866986 y[1] (numeric) = 0.5597127343866978 absolute error = 7.771561172376096e-16 relative error = 1.388491041014411e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.273 Order of pole (six term test) = -11.55 TOP MAIN SOLVE Loop x[1] = 1.800000000000002 y[1] (analytic) = 0.5513180625132528 y[1] (numeric) = 0.5513180625132521 absolute error = 6.661338147750939e-16 relative error = 1.208256830437296e-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 = 0.4854 Order of pole (three term test) = -82.26 Radius of convergence (six term test) for eq 1 = 0.6189 Order of pole (six term test) = -11.59 TOP MAIN SOLVE Loop x[1] = 1.810000000000002 y[1] (analytic) = 0.5429023020859 y[1] (numeric) = 0.5429023020858994 absolute error = 5.551115123125783e-16 relative error = 1.022488779619775e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000002 y[1] (analytic) = 0.5344656122069742 y[1] (numeric) = 0.5344656122069739 absolute error = 3.33066907387547e-16 relative error = 6.231774314014524e-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 = 0.005649 Order of pole (three term test) = -24.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000002 y[1] (analytic) = 0.5260081515748734 y[1] (numeric) = 0.5260081515748722 absolute error = 1.110223024625157e-15 relative error = 2.110657451412375e-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 = 0.05532 Order of pole (three term test) = -54.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000002 y[1] (analytic) = 0.5175300784847051 y[1] (numeric) = 0.5175300784847042 absolute error = 8.881784197001252e-16 relative error = 1.716187051969336e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.323 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.078 Order of pole (six term test) = -12.74 TOP MAIN SOLVE Loop x[1] = 1.850000000000002 y[1] (analytic) = 0.5090315508289426 y[1] (numeric) = 0.5090315508289418 absolute error = 7.771561172376096e-16 relative error = 1.526734670909955e-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 = 0.2523 Order of pole (three term test) = -15.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000002 y[1] (analytic) = 0.5005127260980687 y[1] (numeric) = 0.5005127260980677 absolute error = 9.992007221626409e-16 relative error = 1.996354278446181e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000002 y[1] (analytic) = 0.4919737613812244 y[1] (numeric) = 0.4919737613812237 absolute error = 6.661338147750939e-16 relative error = 1.354002727513175e-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 = 0.07948 Order of pole (three term test) = -26.36 Radius of convergence (six term test) for eq 1 = 0.4118 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 1.880000000000002 y[1] (analytic) = 0.4834148133668576 y[1] (numeric) = 0.4834148133668572 absolute error = 3.885780586188048e-16 relative error = 8.03819096714187e-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 = 0.01421 Order of pole (three term test) = -29.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000002 y[1] (analytic) = 0.474836038343369 y[1] (numeric) = 0.4748360383433679 absolute error = 1.110223024625157e-15 relative error = 2.338118708298883e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000002 y[1] (analytic) = 0.4662375921997538 y[1] (numeric) = 0.4662375921997532 absolute error = 6.106226635438361e-16 relative error = 1.309681316478278e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000002 y[1] (analytic) = 0.457619630426254 y[1] (numeric) = 0.457619630426253 absolute error = 9.992007221626409e-16 relative error = 2.183474343598255e-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 = 0.2537 Order of pole (three term test) = -51.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000002 y[1] (analytic) = 0.448982308114994 y[1] (numeric) = 0.4489823081149936 absolute error = 3.33066907387547e-16 relative error = 7.418263512116861e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5242 Order of pole (six term test) = -11.7 TOP MAIN SOLVE Loop x[1] = 1.930000000000002 y[1] (analytic) = 0.4403257799606319 y[1] (numeric) = 0.4403257799606312 absolute error = 7.216449660063518e-16 relative error = 1.638888747487989e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3696 Order of pole (six term test) = -11.52 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0.4316502002609946 y[1] (numeric) = 0.4316502002609939 absolute error = 6.661338147750939e-16 relative error = 1.543226006549563e-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 = 0.01094 Order of pole (three term test) = -27.47 Radius of convergence (six term test) for eq 1 = 0.3384 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0.4229557229177255 y[1] (numeric) = 0.422955722917724 absolute error = 1.443289932012704e-15 relative error = 3.412390124565016e-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 = 0.188 Order of pole (three term test) = -42.84 Radius of convergence (six term test) for eq 1 = 0.8459 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0.4142425014369194 y[1] (numeric) = 0.4142425014369184 absolute error = 1.054711873393899e-15 relative error = 2.546121824137617e-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 = 0.1258 Order of pole (three term test) = -42.16 Radius of convergence (six term test) for eq 1 = 0.2401 Order of pole (six term test) = -11.76 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0.4055106889297691 y[1] (numeric) = 0.4055106889297688 absolute error = 2.775557561562891e-16 relative error = 6.844597780857988e-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 = 0.006999 Order of pole (three term test) = -0.939 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0.3967604381132026 y[1] (numeric) = 0.3967604381132015 absolute error = 1.054711873393899e-15 relative error = 2.658309075394688e-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 = 0.04022 Order of pole (three term test) = -29.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0.3879919013105163 y[1] (numeric) = 0.3879919013105155 absolute error = 7.216449660063518e-16 relative error = 1.859948528742118e-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 = 0.1191 Order of pole (three term test) = -74.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000002 y[1] (analytic) = 0.3792052304520211 y[1] (numeric) = 0.3792052304520208 absolute error = 2.775557561562891e-16 relative error = 7.319407378042663e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000002 y[1] (analytic) = 0.3704005770756758 y[1] (numeric) = 0.3704005770756751 absolute error = 6.106226635438361e-16 relative error = 1.648546739221416e-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 = 0.03565 Order of pole (three term test) = -3.343 Radius of convergence (six term test) for eq 1 = 0.9097 Order of pole (six term test) = -12.28 TOP MAIN SOLVE Loop x[1] = 2.020000000000002 y[1] (analytic) = 0.3615780923277214 y[1] (numeric) = 0.3615780923277205 absolute error = 9.436895709313831e-16 relative error = 2.609919104490591e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1352 Order of pole (six term test) = -11.85 TOP MAIN SOLVE Loop x[1] = 2.030000000000002 y[1] (analytic) = 0.35273792696332 y[1] (numeric) = 0.3527379269633185 absolute error = 1.498801083243961e-15 relative error = 4.249049984919304e-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 = 0.1689 Order of pole (three term test) = -32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040000000000001 y[1] (analytic) = 0.3438802313471868 y[1] (numeric) = 0.3438802313471856 absolute error = 1.221245327087672e-15 relative error = 3.551368225801511e-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 = 0.145 Order of pole (three term test) = -35.11 Radius of convergence (six term test) for eq 1 = 0.6452 Order of pole (six term test) = -11.61 TOP MAIN SOLVE Loop x[1] = 2.050000000000001 y[1] (analytic) = 0.3350051554542283 y[1] (numeric) = 0.3350051554542265 absolute error = 1.720845688168993e-15 relative error = 5.136773748558361e-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 = 0.3083 Order of pole (three term test) = -33.01 Radius of convergence (six term test) for eq 1 = 1.25 Order of pole (six term test) = -12.16 TOP MAIN SOLVE Loop x[1] = 2.060000000000001 y[1] (analytic) = 0.3261128488701701 y[1] (numeric) = 0.3261128488701681 absolute error = 1.998401444325282e-15 relative error = 6.127944517515384e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.176 Order of pole (six term test) = -10.6 TOP MAIN SOLVE Loop x[1] = 2.070000000000001 y[1] (analytic) = 0.3172034607921933 y[1] (numeric) = 0.3172034607921915 absolute error = 1.831867990631508e-15 relative error = 5.775056760277921e-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 = 0.1656 Order of pole (three term test) = -39.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080000000000001 y[1] (analytic) = 0.3082771400295658 y[1] (numeric) = 0.3082771400295639 absolute error = 1.942890293094024e-15 relative error = 6.30241442134726e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = 0.2993340350042721 y[1] (numeric) = 0.2993340350042696 absolute error = 2.498001805406602e-15 relative error = 8.345198050635807e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = 0.2903742937516431 y[1] (numeric) = 0.2903742937516406 absolute error = 2.498001805406602e-15 relative error = 8.602696103475128e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.054 Order of pole (six term test) = -12.43 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = 0.2813980639209879 y[1] (numeric) = 0.2813980639209853 absolute error = 2.609024107869118e-15 relative error = 9.271649106305474e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = 0.2724054927762211 y[1] (numeric) = 0.2724054927762178 absolute error = 3.275157922644212e-15 relative error = 1.202309795322199e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7078 Order of pole (six term test) = -12.39 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0.2633967271964888 y[1] (numeric) = 0.263396727196486 absolute error = 2.831068712794149e-15 relative error = 1.074830633974517e-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 = 0.2117 Order of pole (three term test) = -40.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999999 y[1] (analytic) = 0.2543719136768014 y[1] (numeric) = 0.2543719136767982 absolute error = 3.219646771412954e-15 relative error = 1.265724161474744e-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 = 0.05808 Order of pole (three term test) = -38.15 Radius of convergence (six term test) for eq 1 = 0.52 Order of pole (six term test) = -11.38 TOP MAIN SOLVE Loop x[1] = 2.149999999999999 y[1] (analytic) = 0.2453311983286537 y[1] (numeric) = 0.24533119832865 absolute error = 3.691491556878645e-15 relative error = 1.504697153084217e-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 = 0.2212 Order of pole (three term test) = -25.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999999 y[1] (analytic) = 0.2362747268806541 y[1] (numeric) = 0.2362747268806499 absolute error = 4.135580766728708e-15 relative error = 1.750327181128286e-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 = 1.423 Order of pole (three term test) = -172.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999999 y[1] (analytic) = 0.2272026446791478 y[1] (numeric) = 0.2272026446791444 absolute error = 3.441691376337985e-15 relative error = 1.514811317974881e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999998 y[1] (analytic) = 0.2181150966888454 y[1] (numeric) = 0.2181150966888417 absolute error = 3.747002708109903e-15 relative error = 1.717901587277672e-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 = 0.05662 Order of pole (three term test) = -27.23 Radius of convergence (six term test) for eq 1 = 0.5529 Order of pole (six term test) = -10.89 TOP MAIN SOLVE Loop x[1] = 2.189999999999998 y[1] (analytic) = 0.2090122274934401 y[1] (numeric) = 0.2090122274934357 absolute error = 4.385380947269368e-15 relative error = 2.098145644329352e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4705 Order of pole (six term test) = -11.4 TOP MAIN SOLVE Loop x[1] = 2.199999999999998 y[1] (analytic) = 0.1998941812962327 y[1] (numeric) = 0.1998941812962285 absolute error = 4.107825191113079e-15 relative error = 2.054999882675673e-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 = 1.019 Order of pole (three term test) = -124.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999998 y[1] (analytic) = 0.1907611019207575 y[1] (numeric) = 0.1907611019207523 absolute error = 5.134781488891349e-15 relative error = 2.691734026061743e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2857 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = 2.219999999999998 y[1] (analytic) = 0.1816131328113954 y[1] (numeric) = 0.1816131328113905 absolute error = 4.884981308350689e-15 relative error = 2.689773163829361e-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 = 0.05078 Order of pole (three term test) = 3.468 Radius of convergence (six term test) for eq 1 = 1.877 Order of pole (six term test) = -13.47 TOP MAIN SOLVE Loop x[1] = 2.229999999999997 y[1] (analytic) = 0.172450417034003 y[1] (numeric) = 0.1724504170339983 absolute error = 4.690692279041286e-15 relative error = 2.720023737673187e-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 = 0.02388 Order of pole (three term test) = -31.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999997 y[1] (analytic) = 0.1632730972765276 y[1] (numeric) = 0.1632730972765223 absolute error = 5.301314942585122e-15 relative error = 3.246900457585212e-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 = 0.06092 Order of pole (three term test) = -33.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999997 y[1] (analytic) = 0.1540813158496256 y[1] (numeric) = 0.1540813158496196 absolute error = 5.939693181744587e-15 relative error = 3.85490813664999e-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 = 0.005701 Order of pole (three term test) = -26.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999997 y[1] (analytic) = 0.1448752146872818 y[1] (numeric) = 0.144875214687276 absolute error = 5.856426454897701e-15 relative error = 4.042393633403064e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.071 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8362 Order of pole (six term test) = -11.4 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0.1356549353474283 y[1] (numeric) = 0.1356549353474229 absolute error = 5.35682609381638e-15 relative error = 3.948861926841746e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999996 y[1] (analytic) = 0.1264206190125607 y[1] (numeric) = 0.1264206190125549 absolute error = 5.828670879282072e-15 relative error = 4.610538158101373e-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 = 0.9173 Order of pole (three term test) = -245.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999996 y[1] (analytic) = 0.117172406490351 y[1] (numeric) = 0.1171724064903451 absolute error = 5.898059818321144e-15 relative error = 5.033659369970217e-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 = 0.0193 Order of pole (three term test) = -5.783 Radius of convergence (six term test) for eq 1 = 1.292 Order of pole (six term test) = -10.06 TOP MAIN SOLVE Loop x[1] = 2.299999999999996 y[1] (analytic) = 0.1079104382142671 y[1] (numeric) = 0.1079104382142606 absolute error = 6.467049118441537e-15 relative error = 5.992978274817636e-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 = 0.2073 Order of pole (three term test) = -35.31 Radius of convergence (six term test) for eq 1 = 0.8716 Order of pole (six term test) = -10.51 TOP MAIN SOLVE Loop x[1] = 2.309999999999996 y[1] (analytic) = 0.09863485424418324 y[1] (numeric) = 0.09863485424417703 absolute error = 6.203371150093062e-15 relative error = 6.289228283073062e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0.08934579426699829 y[1] (numeric) = 0.08934579426699193 absolute error = 6.356026815979021e-15 relative error = 7.113963078088333e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5653 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = 2.329999999999995 y[1] (analytic) = 0.08004339759724517 y[1] (numeric) = 0.08004339759723815 absolute error = 7.022160630754115e-15 relative error = 8.772941731043904e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.753 Order of pole (six term test) = -11.12 TOP MAIN SOLVE Loop x[1] = 2.339999999999995 y[1] (analytic) = 0.07072780317770302 y[1] (numeric) = 0.07072780317769589 absolute error = 7.133182933216631e-15 relative error = 1.008540151500898e-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 = 0.04599 Order of pole (three term test) = -23.06 Radius of convergence (six term test) for eq 1 = 1.038 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = 2.349999999999995 y[1] (analytic) = 0.06139914958001122 y[1] (numeric) = 0.06139914958000428 absolute error = 6.938893903907228e-15 relative error = 1.130128666499677e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999995 y[1] (analytic) = 0.05205757500528009 y[1] (numeric) = 0.05205757500527212 absolute error = 7.972789095589405e-15 relative error = 1.531532941129267e-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 = 0.03688 Order of pole (three term test) = -23.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999994 y[1] (analytic) = 0.04270321728469592 y[1] (numeric) = 0.04270321728468791 absolute error = 8.014422459012849e-15 relative error = 1.876772517063972e-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 = 0.03061 Order of pole (three term test) = -27.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999994 y[1] (analytic) = 0.0333362138801369 y[1] (numeric) = 0.03333621388012917 absolute error = 7.729927808952652e-15 relative error = 2.318777962232377e-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 = 0.04131 Order of pole (three term test) = 2.811 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999994 y[1] (analytic) = 0.02395670188477946 y[1] (numeric) = 0.02395670188477098 absolute error = 8.48626724447854e-15 relative error = 3.542335370408464e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.992 Order of pole (six term test) = -12.65 TOP MAIN SOLVE Loop x[1] = 2.399999999999994 y[1] (analytic) = 0.01456481802370245 y[1] (numeric) = 0.0145648180236938 absolute error = 8.64933125122036e-15 relative error = 5.938509658785051e-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 = 0.312 Order of pole (three term test) = -45.6 Radius of convergence (six term test) for eq 1 = 0.736 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0.005160698654498921 y[1] (numeric) = 0.005160698654490573 absolute error = 8.348356728138384e-15 relative error = 1.617679559890708e-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 = 0.1956 Order of pole (three term test) = -39.79 Radius of convergence (six term test) for eq 1 = 1.17 Order of pole (six term test) = -10.84 TOP MAIN SOLVE Loop x[1] = 2.419999999999993 y[1] (analytic) = -0.0042555202321181 y[1] (numeric) = -0.004255520232126954 absolute error = 8.853161259647635e-15 relative error = 2.080394587911793e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7353 Order of pole (six term test) = -12.11 TOP MAIN SOLVE Loop x[1] = 2.429999999999993 y[1] (analytic) = -0.0136837030117134 y[1] (numeric) = -0.0136837030117226 absolute error = 9.192299699201101e-15 relative error = 6.71769892355336e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999993 y[1] (analytic) = -0.02312371442552209 y[1] (numeric) = -0.02312371442553086 absolute error = 8.77423134149069e-15 relative error = 3.794473145632002e-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 = 0.02252 Order of pole (three term test) = -17.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999993 y[1] (analytic) = -0.0325754195798434 y[1] (numeric) = -0.0325754195798528 absolute error = 9.395262345890387e-15 relative error = 2.884156970829584e-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 = 0.1423 Order of pole (three term test) = -6.154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = -0.04203868394544321 y[1] (numeric) = -0.04203868394545258 absolute error = 9.374445664178666e-15 relative error = 2.229956978754282e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999992 y[1] (analytic) = -0.05151337335694502 y[1] (numeric) = -0.05151337335695484 absolute error = 9.818534874028728e-15 relative error = 1.906016677648814e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.149 Order of pole (six term test) = -13.87 TOP MAIN SOLVE Loop x[1] = 2.479999999999992 y[1] (analytic) = -0.0609993540122323 y[1] (numeric) = -0.06099935401224268 absolute error = 1.038058528024521e-14 relative error = 1.70175331334879e-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 = 0.06078 Order of pole (three term test) = -29.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999992 y[1] (analytic) = -0.07049649247184593 y[1] (numeric) = -0.07049649247185649 absolute error = 1.05609965217468e-14 relative error = 1.498088224171512e-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 = 0.1718 Order of pole (three term test) = -31.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999992 y[1] (analytic) = -0.08000465565838311 y[1] (numeric) = -0.08000465565839344 absolute error = 1.033895191682177e-14 relative error = 1.292293783622882e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7248 Order of pole (six term test) = -11.68 TOP MAIN SOLVE Loop x[1] = 2.509999999999991 y[1] (analytic) = -0.08952371085589657 y[1] (numeric) = -0.08952371085590773 absolute error = 1.115774139748282e-14 relative error = 1.246344827622604e-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 = 1.096 Order of pole (three term test) = -328.3 Radius of convergence (six term test) for eq 1 = 0.8953 Order of pole (six term test) = -12.15 TOP MAIN SOLVE Loop x[1] = 2.519999999999991 y[1] (analytic) = -0.09905352570930021 y[1] (numeric) = -0.09905352570931153 absolute error = 1.13242748511766e-14 relative error = 1.143248033836856e-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 = 0.0178 Order of pole (three term test) = -5.247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999991 y[1] (analytic) = -0.1085939682237652 y[1] (numeric) = -0.1085939682237767 absolute error = 1.1518563880486e-14 relative error = 1.060700153875142e-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 = 0.6334 Order of pole (three term test) = -109.3 Radius of convergence (six term test) for eq 1 = 0.6976 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 2.539999999999991 y[1] (analytic) = -0.1181449067641259 y[1] (numeric) = -0.1181449067641372 absolute error = 1.135203042679223e-14 relative error = 9.608565225292655e-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 = 0.03715 Order of pole (three term test) = -14.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = -0.1277062100542804 y[1] (numeric) = -0.1277062100542923 absolute error = 1.182387521225792e-14 relative error = 9.258653284936011e-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 = 0.08172 Order of pole (three term test) = -28.91 Radius of convergence (six term test) for eq 1 = 0.1253 Order of pole (six term test) = -11.19 TOP MAIN SOLVE Loop x[1] = 2.55999999999999 y[1] (analytic) = -0.1372777471765976 y[1] (numeric) = -0.1372777471766102 absolute error = 1.25732757538799e-14 relative error = 9.159005019003783e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.695 Order of pole (six term test) = -13.65 TOP MAIN SOLVE Loop x[1] = 2.56999999999999 y[1] (analytic) = -0.1468593875713202 y[1] (numeric) = -0.146859387571333 absolute error = 1.279532035880493e-14 relative error = 8.712633608519619e-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 = 0.1587 Order of pole (three term test) = 2.292 Radius of convergence (six term test) for eq 1 = 1.477 Order of pole (six term test) = -12.45 TOP MAIN SOLVE Loop x[1] = 2.57999999999999 y[1] (analytic) = -0.1564510010359694 y[1] (numeric) = -0.1564510010359819 absolute error = 1.246225345141738e-14 relative error = 7.965595214409785e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3073 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = 2.58999999999999 y[1] (analytic) = -0.1660524577247497 y[1] (numeric) = -0.1660524577247629 absolute error = 1.315614284180811e-14 relative error = 7.922883540583218e-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 = 0.01971 Order of pole (three term test) = -27.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = -0.1756636281479615 y[1] (numeric) = -0.1756636281479741 absolute error = 1.260103132949553e-14 relative error = 7.173386694985984e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3934 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 2.609999999999989 y[1] (analytic) = -0.1852843831713993 y[1] (numeric) = -0.185284383171413 absolute error = 1.365574320288943e-14 relative error = 7.370153365951534e-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 = 0.3691 Order of pole (three term test) = -19.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999989 y[1] (analytic) = -0.1949145940157714 y[1] (numeric) = -0.1949145940157844 absolute error = 1.301736496372996e-14 relative error = 6.67849682034413e-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 = 0.1587 Order of pole (three term test) = -17.86 Radius of convergence (six term test) for eq 1 = 0.8425 Order of pole (six term test) = -11.29 TOP MAIN SOLVE Loop x[1] = 2.629999999999989 y[1] (analytic) = -0.2045541322560965 y[1] (numeric) = -0.2045541322561097 absolute error = 1.321165399303936e-14 relative error = 6.458756832396186e-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 = 0.07897 Order of pole (three term test) = -23.33 Radius of convergence (six term test) for eq 1 = 0.4664 Order of pole (six term test) = -12.04 TOP MAIN SOLVE Loop x[1] = 2.639999999999989 y[1] (analytic) = -0.2142028698211222 y[1] (numeric) = -0.2142028698211365 absolute error = 1.426636586643326e-14 relative error = 6.660212292368866e-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 = 0.433 Order of pole (three term test) = -35.61 Radius of convergence (six term test) for eq 1 = 2.672 Order of pole (six term test) = -12.78 TOP MAIN SOLVE Loop x[1] = 2.649999999999988 y[1] (analytic) = -0.223860678992735 y[1] (numeric) = -0.2238606789927488 absolute error = 1.379452108096757e-14 relative error = 6.16210097415779e-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 = 0.3388 Order of pole (three term test) = -58.96 Radius of convergence (six term test) for eq 1 = 0.4746 Order of pole (six term test) = -11.76 TOP MAIN SOLVE Loop x[1] = 2.659999999999988 y[1] (analytic) = -0.2335274324053642 y[1] (numeric) = -0.2335274324053784 absolute error = 1.423861029081763e-14 relative error = 6.097189586747055e-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 = 0.1654 Order of pole (three term test) = 11.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999988 y[1] (analytic) = -0.2432030030454015 y[1] (numeric) = -0.2432030030454163 absolute error = 1.479372180313021e-14 relative error = 6.0828697087957e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6371 Order of pole (six term test) = -12.33 TOP MAIN SOLVE Loop x[1] = 2.679999999999988 y[1] (analytic) = -0.2528872642506109 y[1] (numeric) = -0.2528872642506254 absolute error = 1.454392162258955e-14 relative error = 5.751148309381269e-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 = 1.697 Order of pole (three term test) = -124.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999988 y[1] (analytic) = -0.2625800897095393 y[1] (numeric) = -0.262580089709554 absolute error = 1.465494392505207e-14 relative error = 5.581132956905858e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999987 y[1] (analytic) = -0.2722813534609337 y[1] (numeric) = -0.2722813534609493 absolute error = 1.565414464721471e-14 relative error = 5.749253280930502e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4668 Order of pole (six term test) = -11.6 TOP MAIN SOLVE Loop x[1] = 2.709999999999987 y[1] (analytic) = -0.2819909298931577 y[1] (numeric) = -0.2819909298931725 absolute error = 1.48769885299771e-14 relative error = 5.275697532404243e-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 = 0.133 Order of pole (three term test) = -10.82 Radius of convergence (six term test) for eq 1 = 0.5257 Order of pole (six term test) = -9.778 TOP MAIN SOLVE Loop x[1] = 2.719999999999987 y[1] (analytic) = -0.291708693743598 y[1] (numeric) = -0.2917086937436139 absolute error = 1.587618925213974e-14 relative error = 5.442480663978553e-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 = 0.04774 Order of pole (three term test) = -16.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999987 y[1] (analytic) = -0.3014345200980935 y[1] (numeric) = -0.301434520098109 absolute error = 1.554312234475219e-14 relative error = 5.156384325091272e-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 = 0.1075 Order of pole (three term test) = -35.47 Radius of convergence (six term test) for eq 1 = 0.738 Order of pole (six term test) = -11.1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = -0.3111682843903394 y[1] (numeric) = -0.3111682843903555 absolute error = 1.609823385706477e-14 relative error = 5.173481573999564e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6411 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = 2.749999999999986 y[1] (analytic) = -0.320909862401315 y[1] (numeric) = -0.3209098624013307 absolute error = 1.570965579844597e-14 relative error = 4.895348394995788e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999986 y[1] (analytic) = -0.3306591302586931 y[1] (numeric) = -0.3306591302587097 absolute error = 1.665334536937735e-14 relative error = 5.03640875010725e-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 = 0.01122 Order of pole (three term test) = -25.66 Radius of convergence (six term test) for eq 1 = 1.85 Order of pole (six term test) = -0.2592 TOP MAIN SOLVE Loop x[1] = 2.769999999999986 y[1] (analytic) = -0.3404159644362684 y[1] (numeric) = -0.3404159644362847 absolute error = 1.626476731075854e-14 relative error = 4.777909678147184e-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 = 0.1039 Order of pole (three term test) = -32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999986 y[1] (analytic) = -0.3501802417533674 y[1] (numeric) = -0.3501802417533839 absolute error = 1.648681191568357e-14 relative error = 4.708093133162912e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999985 y[1] (analytic) = -0.3599518393742764 y[1] (numeric) = -0.3599518393742927 absolute error = 1.63202784619898e-14 relative error = 4.534017242517837e-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 = 0.03548 Order of pole (three term test) = -0.2159 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999985 y[1] (analytic) = -0.3697306348076571 y[1] (numeric) = -0.3697306348076743 absolute error = 1.715294573045867e-14 relative error = 4.639308760384989e-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 = 0.0627 Order of pole (three term test) = -28.51 Radius of convergence (six term test) for eq 1 = 1.358 Order of pole (six term test) = -10.21 TOP MAIN SOLVE Loop x[1] = 2.809999999999985 y[1] (analytic) = -0.3795165059059746 y[1] (numeric) = -0.3795165059059915 absolute error = 1.681987882307112e-14 relative error = 4.431922870632207e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999985 y[1] (analytic) = -0.3893093308649122 y[1] (numeric) = -0.3893093308649294 absolute error = 1.715294573045867e-14 relative error = 4.405993992579291e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999985 y[1] (analytic) = -0.399108988222801 y[1] (numeric) = -0.3991089882228185 absolute error = 1.748601263784622e-14 relative error = 4.381262550790943e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999984 y[1] (analytic) = -0.408915356860041 y[1] (numeric) = -0.4089153568600585 absolute error = 1.748601263784622e-14 relative error = 4.276193677859629e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8743 Order of pole (six term test) = -11.78 TOP MAIN SOLVE Loop x[1] = 2.849999999999984 y[1] (analytic) = -0.4187283159985247 y[1] (numeric) = -0.4187283159985432 absolute error = 1.848521336000886e-14 relative error = 4.414607910126141e-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 = 0.001558 Order of pole (three term test) = -25.26 Radius of convergence (six term test) for eq 1 = 0.6805 Order of pole (six term test) = -12.37 TOP MAIN SOLVE Loop x[1] = 2.859999999999984 y[1] (analytic) = -0.4285477452010668 y[1] (numeric) = -0.4285477452010854 absolute error = 1.865174681370263e-14 relative error = 4.352314770656785e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999984 y[1] (analytic) = -0.4383735243708246 y[1] (numeric) = -0.4383735243708433 absolute error = 1.870725796493389e-14 relative error = 4.26742422270676e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = -0.4482055337507277 y[1] (numeric) = -0.4482055337507468 absolute error = 1.909583602355269e-14 relative error = 4.260508758950968e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999983 y[1] (analytic) = -0.4580436539229069 y[1] (numeric) = -0.4580436539229256 absolute error = 1.876276911616515e-14 relative error = 4.096284045302612e-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 = 0.1798 Order of pole (three term test) = -39.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999983 y[1] (analytic) = -0.467887765808118 y[1] (numeric) = -0.4678877658081366 absolute error = 1.859623566247137e-14 relative error = 3.974507781872146e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999983 y[1] (analytic) = -0.4777377506651739 y[1] (numeric) = -0.4777377506651931 absolute error = 1.920685832601521e-14 relative error = 4.020376932589629e-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 = 0.02882 Order of pole (three term test) = -2.413 Radius of convergence (six term test) for eq 1 = 0.8318 Order of pole (six term test) = -12.15 TOP MAIN SOLVE Loop x[1] = 2.919999999999983 y[1] (analytic) = -0.4875934900903744 y[1] (numeric) = -0.4875934900903943 absolute error = 1.992850329202156e-14 relative error = 4.087114306700004e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.257 Order of pole (six term test) = -13.31 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = -0.4974548660169362 y[1] (numeric) = -0.4974548660169556 absolute error = 1.942890293094024e-14 relative error = 3.905661449551238e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999982 y[1] (analytic) = -0.5073217607144191 y[1] (numeric) = -0.5073217607144392 absolute error = 2.009503674571533e-14 relative error = 3.961004297828101e-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 = 0.4045 Order of pole (three term test) = -43.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999982 y[1] (analytic) = -0.5171940567881658 y[1] (numeric) = -0.5171940567881863 absolute error = 2.05391259555654e-14 relative error = 3.971261016245182e-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 = 0.0636 Order of pole (three term test) = -0.617 Radius of convergence (six term test) for eq 1 = 1.351 Order of pole (six term test) = -12.52 TOP MAIN SOLVE Loop x[1] = 2.959999999999982 y[1] (analytic) = -0.5270716371787288 y[1] (numeric) = -0.5270716371787488 absolute error = 1.998401444325282e-14 relative error = 3.791517705301278e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999982 y[1] (analytic) = -0.5369543851613018 y[1] (numeric) = -0.5369543851613227 absolute error = 2.087219286295294e-14 relative error = 3.887144502355243e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999981 y[1] (analytic) = -0.5468421843451606 y[1] (numeric) = -0.5468421843451816 absolute error = 2.098321516541546e-14 relative error = 3.837161024902038e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.824 Order of pole (six term test) = -22.81 TOP MAIN SOLVE Loop x[1] = 2.989999999999981 y[1] (analytic) = -0.5567349186730912 y[1] (numeric) = -0.5567349186731115 absolute error = 2.031708135064036e-14 relative error = 3.649327654723654e-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 = 0.4478 Order of pole (three term test) = -89.65 Radius of convergence (six term test) for eq 1 = 0.3531 Order of pole (six term test) = -11.67 TOP MAIN SOLVE Loop x[1] = 2.999999999999981 y[1] (analytic) = -0.566632472420824 y[1] (numeric) = -0.5666324724208456 absolute error = 2.153832667772804e-14 relative error = 3.801110548025926e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.009999999999981 y[1] (analytic) = -0.5765347301964789 y[1] (numeric) = -0.5765347301964999 absolute error = 2.098321516541546e-14 relative error = 3.639540528332877e-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 = 0.06252 Order of pole (three term test) = -29.32 Radius of convergence (six term test) for eq 1 = 6.025 Order of pole (six term test) = 2.684 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = -0.5864415769399891 y[1] (numeric) = -0.5864415769400103 absolute error = 2.120525977034049e-14 relative error = 3.615920256027556e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.317 Order of pole (six term test) = -11.37 TOP MAIN SOLVE Loop x[1] = 3.02999999999998 y[1] (analytic) = -0.5963528979225478 y[1] (numeric) = -0.5963528979225692 absolute error = 2.142730437526552e-14 relative error = 3.593057810217672e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.03999999999998 y[1] (analytic) = -0.6062685787460421 y[1] (numeric) = -0.6062685787460637 absolute error = 2.153832667772804e-14 relative error = 3.552604807967486e-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 = 0.8387 Order of pole (three term test) = -85.36 Radius of convergence (six term test) for eq 1 = 2.119 Order of pole (six term test) = -12.69 TOP MAIN SOLVE Loop x[1] = 3.04999999999998 y[1] (analytic) = -0.6161885053424913 y[1] (numeric) = -0.6161885053425141 absolute error = 2.287059430727822e-14 relative error = 3.711623003185728e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.541 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 3.05999999999998 y[1] (analytic) = -0.626112563973491 y[1] (numeric) = -0.6261125639735133 absolute error = 2.231548279496565e-14 relative error = 3.564132726125979e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = -0.6360406412296443 y[1] (numeric) = -0.6360406412296665 absolute error = 2.220446049250313e-14 relative error = 3.491044290750934e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3049 Order of pole (six term test) = -12.26 TOP MAIN SOLVE Loop x[1] = 3.079999999999979 y[1] (analytic) = -0.6459726240300088 y[1] (numeric) = -0.6459726240300321 absolute error = 2.331468351712829e-14 relative error = 3.609237086809611e-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 = 0.03444 Order of pole (three term test) = -2.107 Radius of convergence (six term test) for eq 1 = 2.081 Order of pole (six term test) = -10.4 TOP MAIN SOLVE Loop x[1] = 3.089999999999979 y[1] (analytic) = -0.6559083996215399 y[1] (numeric) = -0.6559083996215627 absolute error = 2.275957200481571e-14 relative error = 3.469931474874848e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2807 Order of pole (six term test) = -11.95 TOP MAIN SOLVE Loop x[1] = 3.099999999999979 y[1] (analytic) = -0.6658478555785238 y[1] (numeric) = -0.6658478555785475 absolute error = 2.375877272697835e-14 relative error = 3.568198429705158e-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 = 0.07757 Order of pole (three term test) = -42.09 Radius of convergence (six term test) for eq 1 = 0.9374 Order of pole (six term test) = -11.64 TOP MAIN SOLVE Loop x[1] = 3.109999999999979 y[1] (analytic) = -0.6757908798020313 y[1] (numeric) = -0.675790879802055 absolute error = 2.364775042451583e-14 relative error = 3.499270429847069e-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 = 0.2121 Order of pole (three term test) = -16.27 Radius of convergence (six term test) for eq 1 = 0.7809 Order of pole (six term test) = -12.14 TOP MAIN SOLVE Loop x[1] = 3.119999999999978 y[1] (analytic) = -0.6857373605193523 y[1] (numeric) = -0.6857373605193759 absolute error = 2.364775042451583e-14 relative error = 3.448514225126351e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999978 y[1] (analytic) = -0.6956871862834441 y[1] (numeric) = -0.695687186283468 absolute error = 2.398081733190338e-14 relative error = 3.447068999504739e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.094 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.0851 Order of pole (three term test) = -16.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999978 y[1] (analytic) = -0.7056402459723763 y[1] (numeric) = -0.7056402459724002 absolute error = 2.386979502944087e-14 relative error = 3.382714515744231e-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 = 0.1985 Order of pole (three term test) = -18.15 Radius of convergence (six term test) for eq 1 = 0.9714 Order of pole (six term test) = -11.8 TOP MAIN SOLVE Loop x[1] = 3.149999999999978 y[1] (analytic) = -0.7155964287887742 y[1] (numeric) = -0.7155964287887983 absolute error = 2.40918396343659e-14 relative error = 3.366679690554632e-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 = 0.02054 Order of pole (three term test) = -1.825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = -0.7255556242592661 y[1] (numeric) = -0.7255556242592911 absolute error = 2.498001805406602e-14 relative error = 3.442881182206893e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999977 y[1] (analytic) = -0.7355177222339325 y[1] (numeric) = -0.7355177222339575 absolute error = 2.498001805406602e-14 relative error = 3.396249648233641e-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 = 0.05029 Order of pole (three term test) = 0.3318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999977 y[1] (analytic) = -0.7454826128857487 y[1] (numeric) = -0.7454826128857736 absolute error = 2.486899575160351e-14 relative error = 3.335959192305788e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.196 Order of pole (six term test) = -4.296 TOP MAIN SOLVE Loop x[1] = 3.189999999999977 y[1] (analytic) = -0.7554501867100348 y[1] (numeric) = -0.7554501867100608 absolute error = 2.597921877622866e-14 relative error = 3.438905600032672e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999977 y[1] (analytic) = -0.7654203345239099 y[1] (numeric) = -0.7654203345239354 absolute error = 2.55351295663786e-14 relative error = 3.336092394548337e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = -0.7753929474657318 y[1] (numeric) = -0.7753929474657574 absolute error = 2.55351295663786e-14 relative error = 3.29318568731335e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.123 Order of pole (six term test) = -11.6 TOP MAIN SOLVE Loop x[1] = 3.219999999999976 y[1] (analytic) = -0.7853679169945551 y[1] (numeric) = -0.785367916994581 absolute error = 2.586819647376615e-14 relative error = 3.29376791615814e-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 = 0.4152 Order of pole (three term test) = -63.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999976 y[1] (analytic) = -0.7953451348895793 y[1] (numeric) = -0.7953451348896055 absolute error = 2.620126338115369e-14 relative error = 3.294326227920073e-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 = 0.1054 Order of pole (three term test) = -12.49 Radius of convergence (six term test) for eq 1 = 1.313 Order of pole (six term test) = -11.31 TOP MAIN SOLVE Loop x[1] = 3.239999999999976 y[1] (analytic) = -0.8053244932496001 y[1] (numeric) = -0.8053244932496271 absolute error = 2.69784194983913e-14 relative error = 3.350006081341138e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999976 y[1] (analytic) = -0.8153058844924639 y[1] (numeric) = -0.8153058844924909 absolute error = 2.69784194983913e-14 relative error = 3.308993595107638e-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 = 0.1407 Order of pole (three term test) = -10.21 Radius of convergence (six term test) for eq 1 = 1.622 Order of pole (six term test) = -7.146 TOP MAIN SOLVE Loop x[1] = 3.259999999999975 y[1] (analytic) = -0.825289201354517 y[1] (numeric) = -0.8252892013545439 absolute error = 2.686739719592879e-14 relative error = 3.255512994939509e-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 = 0.06971 Order of pole (three term test) = -27.26 Radius of convergence (six term test) for eq 1 = 0.8455 Order of pole (six term test) = -11.24 TOP MAIN SOLVE Loop x[1] = 3.269999999999975 y[1] (analytic) = -0.835274336890062 y[1] (numeric) = -0.8352743368900888 absolute error = 2.675637489346627e-14 relative error = 3.203303838243976e-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 = 0.03808 Order of pole (three term test) = -25.34 Radius of convergence (six term test) for eq 1 = 0.5859 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = 3.279999999999975 y[1] (analytic) = -0.8452611844708102 y[1] (numeric) = -0.845261184470838 absolute error = 2.775557561562891e-14 relative error = 3.283668542405121e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.756 Order of pole (six term test) = -12.46 TOP MAIN SOLVE Loop x[1] = 3.289999999999975 y[1] (analytic) = -0.8552496377853422 y[1] (numeric) = -0.8552496377853689 absolute error = 2.664535259100376e-14 relative error = 3.115505860955586e-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 = 0.05305 Order of pole (three term test) = -19.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999975 y[1] (analytic) = -0.8652395908385521 y[1] (numeric) = -0.8652395908385795 absolute error = 2.742250870824137e-14 relative error = 3.169354361335302e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999974 y[1] (analytic) = -0.8752309379511166 y[1] (numeric) = -0.8752309379511444 absolute error = 2.775557561562891e-14 relative error = 3.171228805120131e-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 = 0.08649 Order of pole (three term test) = -25.46 Radius of convergence (six term test) for eq 1 = 0.08263 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = 3.319999999999974 y[1] (analytic) = -0.8852235737589436 y[1] (numeric) = -0.8852235737589721 absolute error = 2.853273173286652e-14 relative error = 3.223223214866204e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7135 Order of pole (six term test) = -11.39 TOP MAIN SOLVE Loop x[1] = 3.329999999999974 y[1] (analytic) = -0.895217393212635 y[1] (numeric) = -0.8952173932126628 absolute error = 2.775557561562891e-14 relative error = 3.100428546860943e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.47 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 3.339999999999974 y[1] (analytic) = -0.9052122915769375 y[1] (numeric) = -0.9052122915769665 absolute error = 2.897682094271659e-14 relative error = 3.201107763598428e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.009 Order of pole (six term test) = -10.5 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = -0.9152081644302136 y[1] (numeric) = -0.9152081644302419 absolute error = 2.831068712794149e-14 relative error = 3.093360420966856e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.697 Order of pole (six term test) = 3.379 TOP MAIN SOLVE Loop x[1] = 3.359999999999973 y[1] (analytic) = -0.9252049076638884 y[1] (numeric) = -0.9252049076639166 absolute error = 2.819966482547898e-14 relative error = 3.047937229027696e-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 = 1.676 Order of pole (three term test) = -260.1 Radius of convergence (six term test) for eq 1 = 1.545 Order of pole (six term test) = -10.93 TOP MAIN SOLVE Loop x[1] = 3.369999999999973 y[1] (analytic) = -0.935202417481918 y[1] (numeric) = -0.935202417481947 absolute error = 2.897682094271659e-14 relative error = 3.098454452324686e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9369 Order of pole (six term test) = -11.64 TOP MAIN SOLVE Loop x[1] = 3.379999999999973 y[1] (analytic) = -0.94520059040025 y[1] (numeric) = -0.9452005904002795 absolute error = 2.953193245502916e-14 relative error = 3.124409014865693e-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 = 0.2092 Order of pole (three term test) = -24.08 Radius of convergence (six term test) for eq 1 = 1.373 Order of pole (six term test) = -12.3 TOP MAIN SOLVE Loop x[1] = 3.389999999999973 y[1] (analytic) = -0.9551993232462825 y[1] (numeric) = -0.9551993232463121 absolute error = 2.953193245502916e-14 relative error = 3.09170366187695e-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 = 1.923 Order of pole (three term test) = -58.94 Radius of convergence (six term test) for eq 1 = 0.7684 Order of pole (six term test) = -12.62 TOP MAIN SOLVE Loop x[1] = 3.399999999999972 y[1] (analytic) = -0.9651985131583276 y[1] (numeric) = -0.965198513158357 absolute error = 2.942091015256665e-14 relative error = 3.048171930590257e-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 = 0.09844 Order of pole (three term test) = -24.86 Radius of convergence (six term test) for eq 1 = 0.5801 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 3.409999999999972 y[1] (analytic) = -0.9751980575850741 y[1] (numeric) = -0.9751980575851035 absolute error = 2.942091015256665e-14 relative error = 3.016916402133013e-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 = 0.3224 Order of pole (three term test) = 42.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999972 y[1] (analytic) = -0.9851978542850512 y[1] (numeric) = -0.9851978542850816 absolute error = 3.030908857226677e-14 relative error = 3.076446872111977e-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 = 0.1754 Order of pole (three term test) = -20.65 Radius of convergence (six term test) for eq 1 = 0.4311 Order of pole (six term test) = -11.38 TOP MAIN SOLVE Loop x[1] = 3.429999999999972 y[1] (analytic) = -0.9951978013260969 y[1] (numeric) = -0.9951978013261265 absolute error = 2.953193245502916e-14 relative error = 2.967443498737436e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.766 Order of pole (six term test) = -10.99 TOP MAIN SOLVE Loop x[1] = 3.439999999999972 y[1] (analytic) = -1.005197797084813 y[1] (numeric) = -1.005197797084844 absolute error = 3.042011087472929e-14 relative error = 3.026281092432856e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.086 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.449999999999971 y[1] (analytic) = -1.015197740246045 y[1] (numeric) = -1.015197740246074 absolute error = 2.97539770599542e-14 relative error = 2.930855328021414e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.455 Order of pole (six term test) = -11.37 TOP MAIN SOLVE Loop x[1] = 3.459999999999971 y[1] (analytic) = -1.025197529802332 y[1] (numeric) = -1.025197529802363 absolute error = 3.042011087472929e-14 relative error = 2.967243871587808e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9235 Order of pole (six term test) = -11.72 TOP MAIN SOLVE Loop x[1] = 3.469999999999971 y[1] (analytic) = -1.035197065053389 y[1] (numeric) = -1.035197065053421 absolute error = 3.153033389935445e-14 relative error = 3.04582914343254e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.78 Order of pole (six term test) = -12.18 TOP MAIN SOLVE Loop x[1] = 3.479999999999971 y[1] (analytic) = -1.045196245605569 y[1] (numeric) = -1.0451962456056 absolute error = 3.108624468950438e-14 relative error = 2.974201717639499e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = -1.055194971371322 y[1] (numeric) = -1.055194971371354 absolute error = 3.153033389935445e-14 relative error = 2.988105018959471e-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 = 0.04231 Order of pole (three term test) = 2.133 Radius of convergence (six term test) for eq 1 = 0.5417 Order of pole (six term test) = -11.73 TOP MAIN SOLVE Loop x[1] = 3.49999999999997 y[1] (analytic) = -1.065193142568682 y[1] (numeric) = -1.065193142568714 absolute error = 3.175237850427948e-14 relative error = 2.980903390694907e-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 = 0.06772 Order of pole (three term test) = -9.113 Radius of convergence (six term test) for eq 1 = 0.3996 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 3.50999999999997 y[1] (analytic) = -1.075190659720721 y[1] (numeric) = -1.075190659720753 absolute error = 3.175237850427948e-14 relative error = 2.953185857522898e-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 = 0.2029 Order of pole (three term test) = 9.303 Radius of convergence (six term test) for eq 1 = 0.5209 Order of pole (six term test) = -12.65 TOP MAIN SOLVE Loop x[1] = 3.51999999999997 y[1] (analytic) = -1.085187423655028 y[1] (numeric) = -1.085187423655059 absolute error = 3.175237850427948e-14 relative error = 2.925981062085484e-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 = 4.056 Order of pole (three term test) = -60.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.52999999999997 y[1] (analytic) = -1.095183335503176 y[1] (numeric) = -1.095183335503207 absolute error = 3.153033389935445e-14 relative error = 2.879000517741444e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = -1.105178296700195 y[1] (numeric) = -1.105178296700227 absolute error = 3.219646771412954e-14 relative error = 2.913237421532859e-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 = 0.06387 Order of pole (three term test) = -29.07 Radius of convergence (six term test) for eq 1 = 0.7121 Order of pole (six term test) = -11.46 TOP MAIN SOLVE Loop x[1] = 3.549999999999969 y[1] (analytic) = -1.115172208984047 y[1] (numeric) = -1.11517220898408 absolute error = 3.26405569239796e-14 relative error = 2.926952147930234e-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 = 0.0624 Order of pole (three term test) = -30.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999969 y[1] (analytic) = -1.125164974395094 y[1] (numeric) = -1.125164974395127 absolute error = 3.286260152890463e-14 relative error = 2.920691834241646e-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 = 0.005798 Order of pole (three term test) = -1.004 Radius of convergence (six term test) for eq 1 = 0.9323 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 3.569999999999969 y[1] (analytic) = -1.135156495275575 y[1] (numeric) = -1.135156495275608 absolute error = 3.308464613382966e-14 relative error = 2.914544934687433e-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 = 0.2499 Order of pole (three term test) = 11.99 Radius of convergence (six term test) for eq 1 = 1.187 Order of pole (six term test) = -8.677 TOP MAIN SOLVE Loop x[1] = 3.579999999999969 y[1] (analytic) = -1.145146674269079 y[1] (numeric) = -1.145146674269112 absolute error = 3.26405569239796e-14 relative error = 2.850338533691617e-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 = 0.5255 Order of pole (three term test) = 54.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999968 y[1] (analytic) = -1.155135414320019 y[1] (numeric) = -1.155135414320053 absolute error = 3.375077994860476e-14 relative error = 2.921802892561515e-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 = 0.1305 Order of pole (three term test) = -18.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999968 y[1] (analytic) = -1.165122618673111 y[1] (numeric) = -1.165122618673145 absolute error = 3.419486915845482e-14 relative error = 2.934873000525672e-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 = 51.63 Order of pole (three term test) = -2039 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999968 y[1] (analytic) = -1.175108190872849 y[1] (numeric) = -1.175108190872882 absolute error = 3.352873534367973e-14 relative error = 2.853246671591592e-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 = 0.2923 Order of pole (three term test) = -60.6 Radius of convergence (six term test) for eq 1 = 0.7919 Order of pole (six term test) = -11 TOP MAIN SOLVE Loop x[1] = 3.619999999999968 y[1] (analytic) = -1.185092034762977 y[1] (numeric) = -1.18509203476301 absolute error = 3.33066907387547e-14 relative error = 2.81047292208121e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = -1.195074054485973 y[1] (numeric) = -1.195074054486007 absolute error = 3.397282455352979e-14 relative error = 2.842738023305363e-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 = 0.1517 Order of pole (three term test) = -28.06 Radius of convergence (six term test) for eq 1 = 0.1535 Order of pole (six term test) = -11.27 TOP MAIN SOLVE Loop x[1] = 3.639999999999967 y[1] (analytic) = -1.205054154482525 y[1] (numeric) = -1.205054154482559 absolute error = 3.463895836830488e-14 relative error = 2.874473171139729e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999967 y[1] (analytic) = -1.21503223949101 y[1] (numeric) = -1.215032239491046 absolute error = 3.530509218307998e-14 relative error = 2.90569180270226e-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 = 0.05489 Order of pole (three term test) = -22.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999967 y[1] (analytic) = -1.225008214546975 y[1] (numeric) = -1.22500821454701 absolute error = 3.419486915845482e-14 relative error = 2.79139917205376e-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 = 0.01922 Order of pole (three term test) = -25.08 Radius of convergence (six term test) for eq 1 = 0.4506 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 3.669999999999967 y[1] (analytic) = -1.23498198498261 y[1] (numeric) = -1.234981984982645 absolute error = 3.463895836830488e-14 relative error = 2.804814870946691e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.721 Order of pole (six term test) = -11.55 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = -1.244953456426239 y[1] (numeric) = -1.244953456426274 absolute error = 3.508304757815495e-14 relative error = 2.818020818132774e-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 = 0.2353 Order of pole (three term test) = -39.85 Radius of convergence (six term test) for eq 1 = 1.194 Order of pole (six term test) = -11.46 TOP MAIN SOLVE Loop x[1] = 3.689999999999966 y[1] (analytic) = -1.254922534801794 y[1] (numeric) = -1.25492253480183 absolute error = 3.574918139293004e-14 relative error = 2.848716187774599e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.394 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 3.699999999999966 y[1] (analytic) = -1.264889126328303 y[1] (numeric) = -1.264889126328339 absolute error = 3.61932706027801e-14 relative error = 2.861378902658549e-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 = 0.2201 Order of pole (three term test) = -30.52 Radius of convergence (six term test) for eq 1 = 0.4897 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = 3.709999999999966 y[1] (analytic) = -1.274853137519367 y[1] (numeric) = -1.274853137519403 absolute error = 3.597122599785507e-14 relative error = 2.821597636559811e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.656 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999966 y[1] (analytic) = -1.284814475182647 y[1] (numeric) = -1.284814475182684 absolute error = 3.61932706027801e-14 relative error = 2.817003645420085e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.081 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 3.729999999999965 y[1] (analytic) = -1.294773046419347 y[1] (numeric) = -1.294773046419383 absolute error = 3.663735981263017e-14 relative error = 2.829635658075337e-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 = 0.1889 Order of pole (three term test) = -47.26 Radius of convergence (six term test) for eq 1 = 0.8244 Order of pole (six term test) = -11.7 TOP MAIN SOLVE Loop x[1] = 3.739999999999965 y[1] (analytic) = -1.304728758623699 y[1] (numeric) = -1.304728758623735 absolute error = 3.597122599785507e-14 relative error = 2.756988819331272e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999965 y[1] (analytic) = -1.314681519482446 y[1] (numeric) = -1.314681519482483 absolute error = 3.663735981263017e-14 relative error = 2.786785945470145e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999965 y[1] (analytic) = -1.324631236974335 y[1] (numeric) = -1.324631236974372 absolute error = 3.708144902248023e-14 relative error = 2.799379026209593e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6106 Order of pole (six term test) = -11.32 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = -1.334577819369596 y[1] (numeric) = -1.334577819369633 absolute error = 3.663735981263017e-14 relative error = 2.745239676614457e-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 = 0.03632 Order of pole (three term test) = -25.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999964 y[1] (analytic) = -1.344521175229431 y[1] (numeric) = -1.344521175229468 absolute error = 3.708144902248023e-14 relative error = 2.757966903433306e-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 = 0.171 Order of pole (three term test) = -56.96 Radius of convergence (six term test) for eq 1 = 1.509 Order of pole (six term test) = -11.26 TOP MAIN SOLVE Loop x[1] = 3.789999999999964 y[1] (analytic) = -1.354461213405504 y[1] (numeric) = -1.354461213405542 absolute error = 3.774758283725532e-14 relative error = 2.786907625235504e-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 = 0.1767 Order of pole (three term test) = -29.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999964 y[1] (analytic) = -1.364397843039431 y[1] (numeric) = -1.364397843039469 absolute error = 3.774758283725532e-14 relative error = 2.766611148634336e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8901 Order of pole (six term test) = -11.93 TOP MAIN SOLVE Loop x[1] = 3.809999999999964 y[1] (analytic) = -1.374330973562265 y[1] (numeric) = -1.374330973562303 absolute error = 3.819167204710538e-14 relative error = 2.778928277233875e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = -1.384260514693987 y[1] (numeric) = -1.384260514694025 absolute error = 3.796962744218035e-14 relative error = 2.742953876032081e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.272 Order of pole (six term test) = -12.21 TOP MAIN SOLVE Loop x[1] = 3.829999999999963 y[1] (analytic) = -1.394186376442997 y[1] (numeric) = -1.394186376443036 absolute error = 3.885780586188048e-14 relative error = 2.787131370557415e-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 = 6.066 Order of pole (three term test) = -339.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999963 y[1] (analytic) = -1.404108469105611 y[1] (numeric) = -1.404108469105649 absolute error = 3.752553823233029e-14 relative error = 2.672552659427608e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8916 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 3.849999999999963 y[1] (analytic) = -1.414026703265539 y[1] (numeric) = -1.414026703265577 absolute error = 3.796962744218035e-14 relative error = 2.685212899763044e-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 = 0.02865 Order of pole (three term test) = -19.28 Radius of convergence (six term test) for eq 1 = 2.606 Order of pole (six term test) = -8.852 TOP MAIN SOLVE Loop x[1] = 3.859999999999963 y[1] (analytic) = -1.423940989793389 y[1] (numeric) = -1.423940989793429 absolute error = 3.952393967665557e-14 relative error = 2.775672584745974e-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 = 0.2018 Order of pole (three term test) = -33.49 Radius of convergence (six term test) for eq 1 = 1.796 Order of pole (six term test) = -10.41 TOP MAIN SOLVE Loop x[1] = 3.869999999999962 y[1] (analytic) = -1.433851239846161 y[1] (numeric) = -1.433851239846201 absolute error = 3.952393967665557e-14 relative error = 2.756488161275093e-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 = 0.1598 Order of pole (three term test) = -15.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999962 y[1] (analytic) = -1.443757364866731 y[1] (numeric) = -1.443757364866771 absolute error = 3.907985046680551e-14 relative error = 2.706815661536926e-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 = 0.0964 Order of pole (three term test) = -27.05 Radius of convergence (six term test) for eq 1 = 1.267 Order of pole (six term test) = -10.35 TOP MAIN SOLVE Loop x[1] = 3.889999999999962 y[1] (analytic) = -1.453659276583352 y[1] (numeric) = -1.453659276583392 absolute error = 3.97459842815806e-14 relative error = 2.734202224815616e-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 = 0.0006256 Order of pole (three term test) = -0.8926 Radius of convergence (six term test) for eq 1 = 0.8908 Order of pole (six term test) = -12.88 TOP MAIN SOLVE Loop x[1] = 3.899999999999962 y[1] (analytic) = -1.46355688700915 y[1] (numeric) = -1.46355688700919 absolute error = 3.930189507173054e-14 relative error = 2.685368462311422e-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 = 0.5317 Order of pole (three term test) = -91.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999962 y[1] (analytic) = -1.473450108441615 y[1] (numeric) = -1.473450108441654 absolute error = 3.907985046680551e-14 relative error = 2.652268322009088e-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 = 0.1509 Order of pole (three term test) = 6.906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919999999999961 y[1] (analytic) = -1.483338853462098 y[1] (numeric) = -1.483338853462138 absolute error = 3.97459842815806e-14 relative error = 2.679494586743539e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7366 Order of pole (six term test) = -11.4 TOP MAIN SOLVE Loop x[1] = 3.929999999999961 y[1] (analytic) = -1.493223034935316 y[1] (numeric) = -1.493223034935355 absolute error = 3.907985046680551e-14 relative error = 2.617147576249276e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7933 Order of pole (six term test) = -12.73 TOP MAIN SOLVE Loop x[1] = 3.939999999999961 y[1] (analytic) = -1.503102566008836 y[1] (numeric) = -1.503102566008876 absolute error = 3.97459842815806e-14 relative error = 2.644262951870109e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.678 Order of pole (six term test) = -4.595 TOP MAIN SOLVE Loop x[1] = 3.949999999999961 y[1] (analytic) = -1.512977360112584 y[1] (numeric) = -1.512977360112624 absolute error = 4.019007349143067e-14 relative error = 2.656356568907286e-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 = 0.1045 Order of pole (three term test) = -42.81 Radius of convergence (six term test) for eq 1 = 0.3237 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = -1.522847330958339 y[1] (numeric) = -1.52284733095838 absolute error = 4.063416270128073e-14 relative error = 2.668301797246435e-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 = 0.1158 Order of pole (three term test) = -16.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96999999999996 y[1] (analytic) = -1.532712392539234 y[1] (numeric) = -1.532712392539275 absolute error = 4.152234112098085e-14 relative error = 2.709075839870459e-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 = 0.2228 Order of pole (three term test) = -58.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.97999999999996 y[1] (analytic) = -1.542572459129254 y[1] (numeric) = -1.542572459129296 absolute error = 4.174438572590589e-14 relative error = 2.706153962418699e-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 = 0.0856 Order of pole (three term test) = 0.1923 Radius of convergence (six term test) for eq 1 = 0.895 Order of pole (six term test) = -13.18 TOP MAIN SOLVE Loop x[1] = 3.98999999999996 y[1] (analytic) = -1.552427445282741 y[1] (numeric) = -1.552427445282782 absolute error = 4.107825191113079e-14 relative error = 2.646065813636094e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99999999999996 y[1] (analytic) = -1.562277265833887 y[1] (numeric) = -1.56227726583393 absolute error = 4.218847493575595e-14 relative error = 2.700447344296293e-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 = 0.1654 Order of pole (three term test) = -27.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.00999999999996 y[1] (analytic) = -1.572121835896249 y[1] (numeric) = -1.572121835896291 absolute error = 4.107825191113079e-14 relative error = 2.612917839647748e-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 = 0.01051 Order of pole (three term test) = -27.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.01999999999996 y[1] (analytic) = -1.581961070862236 y[1] (numeric) = -1.581961070862278 absolute error = 4.130029651605582e-14 relative error = 2.610702455120807e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = -1.591794886402625 y[1] (numeric) = -1.591794886402667 absolute error = 4.174438572590589e-14 relative error = 2.622472661678544e-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 = 0.4094 Order of pole (three term test) = -82.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999959 y[1] (analytic) = -1.60162319846606 y[1] (numeric) = -1.601623198466102 absolute error = 4.174438572590589e-14 relative error = 2.606379937920867e-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 = 0.06756 Order of pole (three term test) = -22.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999959 y[1] (analytic) = -1.611445923278553 y[1] (numeric) = -1.611445923278595 absolute error = 4.152234112098085e-14 relative error = 2.576713280983201e-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 = 0.02459 Order of pole (three term test) = -0.6523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999959 y[1] (analytic) = -1.621262977342996 y[1] (numeric) = -1.621262977343038 absolute error = 4.174438572590589e-14 relative error = 2.574806574212815e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999959 y[1] (analytic) = -1.631074277438662 y[1] (numeric) = -1.631074277438704 absolute error = 4.174438572590589e-14 relative error = 2.559318499673644e-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 = 0.138 Order of pole (three term test) = -27.06 Radius of convergence (six term test) for eq 1 = 1.002 Order of pole (six term test) = -11.12 TOP MAIN SOLVE Loop x[1] = 4.079999999999958 y[1] (analytic) = -1.64087974062071 y[1] (numeric) = -1.640879740620753 absolute error = 4.285460875053104e-14 relative error = 2.611684920573158e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999958 y[1] (analytic) = -1.6506792842197 y[1] (numeric) = -1.650679284219743 absolute error = 4.263256414560601e-14 relative error = 2.582728489608387e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999958 y[1] (analytic) = -1.660472825841091 y[1] (numeric) = -1.660472825841133 absolute error = 4.241051954068098e-14 relative error = 2.554123071493114e-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 = 0.03847 Order of pole (three term test) = -12.77 Radius of convergence (six term test) for eq 1 = 1.066 Order of pole (six term test) = -11.21 TOP MAIN SOLVE Loop x[1] = 4.109999999999958 y[1] (analytic) = -1.670260283364751 y[1] (numeric) = -1.670260283364795 absolute error = 4.374278717023117e-14 relative error = 2.61892039258163e-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 = 4.601 Order of pole (three term test) = -498.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = -1.680041574944475 y[1] (numeric) = -1.680041574944518 absolute error = 4.329869796038111e-14 relative error = 2.57723967109636e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999957 y[1] (analytic) = -1.689816619007482 y[1] (numeric) = -1.689816619007525 absolute error = 4.329869796038111e-14 relative error = 2.56233117092982e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.831 Order of pole (six term test) = -11.18 TOP MAIN SOLVE Loop x[1] = 4.139999999999957 y[1] (analytic) = -1.69958533425393 y[1] (numeric) = -1.699585334253975 absolute error = 4.418687638008123e-14 relative error = 2.599862183411815e-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 = 2.152 Order of pole (three term test) = -351.6 Radius of convergence (six term test) for eq 1 = 0.9197 Order of pole (six term test) = -10.63 TOP MAIN SOLVE Loop x[1] = 4.149999999999957 y[1] (analytic) = -1.709347639656433 y[1] (numeric) = -1.709347639656478 absolute error = 4.463096558993129e-14 relative error = 2.610994074844939e-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 = 0.07237 Order of pole (three term test) = -3.526 Radius of convergence (six term test) for eq 1 = 1.178 Order of pole (six term test) = -11.16 TOP MAIN SOLVE Loop x[1] = 4.159999999999957 y[1] (analytic) = -1.719103454459561 y[1] (numeric) = -1.719103454459606 absolute error = 4.463096558993129e-14 relative error = 2.596176831251964e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4324 Order of pole (six term test) = -12.14 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = -1.728852698179361 y[1] (numeric) = -1.728852698179405 absolute error = 4.39648317751562e-14 relative error = 2.543006227277498e-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 = 0.2033 Order of pole (three term test) = -23.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999956 y[1] (analytic) = -1.738595290602861 y[1] (numeric) = -1.738595290602906 absolute error = 4.529709940470639e-14 relative error = 2.605384913299722e-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 = 2.222 Order of pole (three term test) = -178.3 Radius of convergence (six term test) for eq 1 = 2.299 Order of pole (six term test) = -11.69 TOP MAIN SOLVE Loop x[1] = 4.189999999999956 y[1] (analytic) = -1.748331151787595 y[1] (numeric) = -1.74833115178764 absolute error = 4.551914400963142e-14 relative error = 2.603576785959e-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 = 0.1126 Order of pole (three term test) = -37.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999956 y[1] (analytic) = -1.758060202061106 y[1] (numeric) = -1.758060202061151 absolute error = 4.507505479978136e-14 relative error = 2.563908491127693e-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 = 0.4779 Order of pole (three term test) = -43.19 Radius of convergence (six term test) for eq 1 = 1.314 Order of pole (six term test) = -11.92 TOP MAIN SOLVE Loop x[1] = 4.209999999999956 y[1] (analytic) = -1.767782362020463 y[1] (numeric) = -1.767782362020509 absolute error = 4.596323321948148e-14 relative error = 2.60005044777958e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.026 Order of pole (six term test) = -12.42 TOP MAIN SOLVE Loop x[1] = 4.219999999999955 y[1] (analytic) = -1.777497552531783 y[1] (numeric) = -1.777497552531828 absolute error = 4.551914400963142e-14 relative error = 2.560855509747179e-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 = 0.0005333 Order of pole (three term test) = -25.15 Radius of convergence (six term test) for eq 1 = 2.318 Order of pole (six term test) = -13.17 TOP MAIN SOLVE Loop x[1] = 4.229999999999955 y[1] (analytic) = -1.787205694729734 y[1] (numeric) = -1.78720569472978 absolute error = 4.574118861455645e-14 relative error = 2.559369005450352e-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 = 0.1577 Order of pole (three term test) = -18.17 Radius of convergence (six term test) for eq 1 = 1.097 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 4.239999999999955 y[1] (analytic) = -1.796906710017063 y[1] (numeric) = -1.79690671001711 absolute error = 4.662936703425657e-14 relative error = 2.594979849221765e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.557 Order of pole (six term test) = -6.898 TOP MAIN SOLVE Loop x[1] = 4.249999999999955 y[1] (analytic) = -1.806600520064109 y[1] (numeric) = -1.806600520064155 absolute error = 4.618527782440651e-14 relative error = 2.556474290329972e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = -1.816287046808315 y[1] (numeric) = -1.816287046808361 absolute error = 4.618527782440651e-14 relative error = 2.542840235829792e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.11 Order of pole (six term test) = -12.28 TOP MAIN SOLVE Loop x[1] = 4.269999999999954 y[1] (analytic) = -1.825966212453753 y[1] (numeric) = -1.8259662124538 absolute error = 4.729550084903167e-14 relative error = 2.59016297927416e-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 = 0.07701 Order of pole (three term test) = -26.85 Radius of convergence (six term test) for eq 1 = 0.5295 Order of pole (six term test) = -11.47 TOP MAIN SOLVE Loop x[1] = 4.279999999999954 y[1] (analytic) = -1.835637939470643 y[1] (numeric) = -1.83563793947069 absolute error = 4.640732242933154e-14 relative error = 2.528130489758474e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.523 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = 4.289999999999954 y[1] (analytic) = -1.845302150594866 y[1] (numeric) = -1.845302150594913 absolute error = 4.729550084903167e-14 relative error = 2.563022041338061e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999954 y[1] (analytic) = -1.854958768827489 y[1] (numeric) = -1.854958768827536 absolute error = 4.707345624410664e-14 relative error = 2.537709033493049e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = -1.864607717434285 y[1] (numeric) = -1.864607717434333 absolute error = 4.729550084903167e-14 relative error = 2.53648531038532e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999953 y[1] (analytic) = -1.874248919945252 y[1] (numeric) = -1.8742489199453 absolute error = 4.818367926873179e-14 relative error = 2.570826038952141e-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 = 1.43 Order of pole (three term test) = -86.43 Radius of convergence (six term test) for eq 1 = 0.8293 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = 4.329999999999953 y[1] (analytic) = -1.883882300154138 y[1] (numeric) = -1.883882300154186 absolute error = 4.818367926873179e-14 relative error = 2.557679917943358e-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 = 0.1078 Order of pole (three term test) = -2.177 Radius of convergence (six term test) for eq 1 = 2.282 Order of pole (six term test) = -11.78 TOP MAIN SOLVE Loop x[1] = 4.339999999999953 y[1] (analytic) = -1.893507782117959 y[1] (numeric) = -1.893507782118007 absolute error = 4.840572387365683e-14 relative error = 2.556404802282525e-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 = 0.289 Order of pole (three term test) = -39.36 Radius of convergence (six term test) for eq 1 = 0.4925 Order of pole (six term test) = -10.46 TOP MAIN SOLVE Loop x[1] = 4.349999999999953 y[1] (analytic) = -1.903125290156526 y[1] (numeric) = -1.903125290156575 absolute error = 4.818367926873179e-14 relative error = 2.531818557503843e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9221 Order of pole (six term test) = -11.69 TOP MAIN SOLVE Loop x[1] = 4.359999999999952 y[1] (analytic) = -1.912734748851967 y[1] (numeric) = -1.912734748852016 absolute error = 4.929390229335695e-14 relative error = 2.577142613367766e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999952 y[1] (analytic) = -1.922336083048253 y[1] (numeric) = -1.922336083048301 absolute error = 4.840572387365683e-14 relative error = 2.518067693808242e-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) = -28.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999952 y[1] (analytic) = -1.931929217850716 y[1] (numeric) = -1.931929217850764 absolute error = 4.840572387365683e-14 relative error = 2.505564045845764e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999952 y[1] (analytic) = -1.941514078625583 y[1] (numeric) = -1.941514078625633 absolute error = 4.929390229335695e-14 relative error = 2.538941274546543e-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 = 0.05559 Order of pole (three term test) = -27.98 Radius of convergence (six term test) for eq 1 = 0.5599 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 4.399999999999952 y[1] (analytic) = -1.9510905909995 y[1] (numeric) = -1.95109059099955 absolute error = 5.018208071305708e-14 relative error = 2.57200157412219e-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 = 0.08645 Order of pole (three term test) = -27.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409999999999951 y[1] (analytic) = -1.960658680859054 y[1] (numeric) = -1.960658680859105 absolute error = 5.040412531798211e-14 relative error = 2.570775107878427e-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 = 0.3182 Order of pole (three term test) = -25.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419999999999951 y[1] (analytic) = -1.970218274350306 y[1] (numeric) = -1.970218274350356 absolute error = 5.040412531798211e-14 relative error = 2.558301583848786e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999951 y[1] (analytic) = -1.979769297878314 y[1] (numeric) = -1.979769297878363 absolute error = 4.973799150320701e-14 relative error = 2.512312498052697e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.554 Order of pole (six term test) = -11.28 TOP MAIN SOLVE Loop x[1] = 4.439999999999951 y[1] (analytic) = -1.989311678106662 y[1] (numeric) = -1.989311678106712 absolute error = 4.973799150320701e-14 relative error = 2.500261374353636e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = -1.998845341956995 y[1] (numeric) = -1.998845341957045 absolute error = 5.040412531798211e-14 relative error = 2.521662094608746e-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 = 1.214 Order of pole (three term test) = -88.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.45999999999995 y[1] (analytic) = -2.008370216608542 y[1] (numeric) = -2.008370216608592 absolute error = 5.018208071305708e-14 relative error = 2.49864692764652e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8743 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 4.46999999999995 y[1] (analytic) = -2.017886229497647 y[1] (numeric) = -2.017886229497698 absolute error = 5.062616992290714e-14 relative error = 2.508871371579285e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.47999999999995 y[1] (analytic) = -2.027393308317303 y[1] (numeric) = -2.027393308317355 absolute error = 5.195843755245733e-14 relative error = 2.562819820865534e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6773 Order of pole (six term test) = -11.96 TOP MAIN SOLVE Loop x[1] = 4.48999999999995 y[1] (analytic) = -2.036891381016684 y[1] (numeric) = -2.036891381016736 absolute error = 5.195843755245733e-14 relative error = 2.550869331408484e-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 = 0.1298 Order of pole (three term test) = -4.636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999949 y[1] (analytic) = -2.046380375800672 y[1] (numeric) = -2.046380375800723 absolute error = 5.062616992290714e-14 relative error = 2.473937422464727e-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 = 0.004623 Order of pole (three term test) = -27.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999949 y[1] (analytic) = -2.05586022112939 y[1] (numeric) = -2.055860221129442 absolute error = 5.151434834260726e-14 relative error = 2.505732044093337e-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 = 0.01838 Order of pole (three term test) = -26.03 Radius of convergence (six term test) for eq 1 = 0.8202 Order of pole (six term test) = -12.29 TOP MAIN SOLVE Loop x[1] = 4.519999999999949 y[1] (analytic) = -2.065330845717742 y[1] (numeric) = -2.065330845717795 absolute error = 5.240252676230739e-14 relative error = 2.537246120686126e-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 = 0.05026 Order of pole (three term test) = -28.28 Radius of convergence (six term test) for eq 1 = 2.668 Order of pole (six term test) = -14.2 TOP MAIN SOLVE Loop x[1] = 4.529999999999949 y[1] (analytic) = -2.074792178534943 y[1] (numeric) = -2.074792178534995 absolute error = 5.195843755245733e-14 relative error = 2.504271902024729e-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 = 0.1324 Order of pole (three term test) = -19.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999949 y[1] (analytic) = -2.084244148804049 y[1] (numeric) = -2.0842441488041 absolute error = 5.151434834260726e-14 relative error = 2.471608154551687e-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 = 0.6531 Order of pole (three term test) = -43.02 Radius of convergence (six term test) for eq 1 = 1.883 Order of pole (six term test) = -11.73 TOP MAIN SOLVE Loop x[1] = 4.549999999999948 y[1] (analytic) = -2.093686686001496 y[1] (numeric) = -2.093686686001548 absolute error = 5.240252676230739e-14 relative error = 2.502882934331749e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999948 y[1] (analytic) = -2.10311971985664 y[1] (numeric) = -2.103119719856693 absolute error = 5.240252676230739e-14 relative error = 2.491656859452557e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6766 Order of pole (six term test) = -11.15 TOP MAIN SOLVE Loop x[1] = 4.569999999999948 y[1] (analytic) = -2.112543180351286 y[1] (numeric) = -2.112543180351339 absolute error = 5.284661597215745e-14 relative error = 2.501563824289253e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999948 y[1] (analytic) = -2.121956997719227 y[1] (numeric) = -2.12195699771928 absolute error = 5.284661597215745e-14 relative error = 2.490465925038034e-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 = 0.5561 Order of pole (three term test) = -36.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = -2.131361102445783 y[1] (numeric) = -2.131361102445836 absolute error = 5.284661597215745e-14 relative error = 2.479477358928752e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999947 y[1] (analytic) = -2.140755425267338 y[1] (numeric) = -2.140755425267392 absolute error = 5.373479439185758e-14 relative error = 2.510085634146982e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999947 y[1] (analytic) = -2.150139897170879 y[1] (numeric) = -2.150139897170933 absolute error = 5.417888360170764e-14 relative error = 2.519784116047304e-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 = 0.08499 Order of pole (three term test) = 1.241 Radius of convergence (six term test) for eq 1 = 1.753 Order of pole (six term test) = -12.59 TOP MAIN SOLVE Loop x[1] = 4.619999999999947 y[1] (analytic) = -2.159514449393534 y[1] (numeric) = -2.159514449393587 absolute error = 5.329070518200751e-14 relative error = 2.467716999854915e-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 = 0.2415 Order of pole (three term test) = -9.409 Radius of convergence (six term test) for eq 1 = 8.997 Order of pole (six term test) = 7.345 TOP MAIN SOLVE Loop x[1] = 4.629999999999947 y[1] (analytic) = -2.168879013422112 y[1] (numeric) = -2.168879013422166 absolute error = 5.329070518200751e-14 relative error = 2.457062143725762e-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 = 0.01197 Order of pole (three term test) = -1.639 Radius of convergence (six term test) for eq 1 = 0.6719 Order of pole (six term test) = -11.78 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = -2.178233520992645 y[1] (numeric) = -2.178233520992699 absolute error = 5.417888360170764e-14 relative error = 2.487285365850845e-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 = 0.001082 Order of pole (three term test) = -25.09 Radius of convergence (six term test) for eq 1 = 0.6238 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = 4.649999999999946 y[1] (analytic) = -2.187577904089928 y[1] (numeric) = -2.187577904089982 absolute error = 5.373479439185758e-14 relative error = 2.456360264537057e-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 = 0.2356 Order of pole (three term test) = -35.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999946 y[1] (analytic) = -2.19691209494706 y[1] (numeric) = -2.196912094947115 absolute error = 5.46229728115577e-14 relative error = 2.486352227619466e-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 = 0.8729 Order of pole (three term test) = -92.73 Radius of convergence (six term test) for eq 1 = 1.326 Order of pole (six term test) = -11.66 TOP MAIN SOLVE Loop x[1] = 4.669999999999946 y[1] (analytic) = -2.206236026044988 y[1] (numeric) = -2.206236026045042 absolute error = 5.46229728115577e-14 relative error = 2.475844477504869e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999946 y[1] (analytic) = -2.215549630112045 y[1] (numeric) = -2.2155496301121 absolute error = 5.46229728115577e-14 relative error = 2.465436660464036e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.119 Order of pole (six term test) = -11.91 TOP MAIN SOLVE Loop x[1] = 4.689999999999945 y[1] (analytic) = -2.224852840123499 y[1] (numeric) = -2.224852840123555 absolute error = 5.551115123125783e-14 relative error = 2.495048222073711e-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 = 0.1678 Order of pole (three term test) = -41.89 Radius of convergence (six term test) for eq 1 = 0.8888 Order of pole (six term test) = -12.08 TOP MAIN SOLVE Loop x[1] = 4.699999999999945 y[1] (analytic) = -2.234145589301096 y[1] (numeric) = -2.234145589301151 absolute error = 5.551115123125783e-14 relative error = 2.484670269345486e-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 = 0.0157 Order of pole (three term test) = -23.99 Radius of convergence (six term test) for eq 1 = 2.283 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 4.709999999999945 y[1] (analytic) = -2.2434278111126 y[1] (numeric) = -2.243427811112655 absolute error = 5.506706202140776e-14 relative error = 2.454594783421978e-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 = 0.1305 Order of pole (three term test) = -11.98 Radius of convergence (six term test) for eq 1 = 5.642 Order of pole (six term test) = -1.917 TOP MAIN SOLVE Loop x[1] = 4.719999999999945 y[1] (analytic) = -2.252699439271342 y[1] (numeric) = -2.252699439271398 absolute error = 5.595524044110789e-14 relative error = 2.483919490795771e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.407 Order of pole (six term test) = -14.37 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = -2.261960407735767 y[1] (numeric) = -2.261960407735822 absolute error = 5.551115123125783e-14 relative error = 2.454116837828508e-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 = 0.9205 Order of pole (three term test) = 31.17 Radius of convergence (six term test) for eq 1 = 1.639 Order of pole (six term test) = -12.28 TOP MAIN SOLVE Loop x[1] = 4.739999999999944 y[1] (analytic) = -2.271210650708973 y[1] (numeric) = -2.27121065070903 absolute error = 5.684341886080801e-14 relative error = 2.502780569607843e-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 = 0.0906 Order of pole (three term test) = -13.78 Radius of convergence (six term test) for eq 1 = 0.8373 Order of pole (six term test) = -11.66 TOP MAIN SOLVE Loop x[1] = 4.749999999999944 y[1] (analytic) = -2.28045010263827 y[1] (numeric) = -2.280450102638327 absolute error = 5.639932965095795e-14 relative error = 2.473166572937033e-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 = 0.9627 Order of pole (three term test) = -181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999944 y[1] (analytic) = -2.289678698214714 y[1] (numeric) = -2.289678698214772 absolute error = 5.728750807065808e-14 relative error = 2.501988952219616e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999944 y[1] (analytic) = -2.298896372372667 y[1] (numeric) = -2.298896372372723 absolute error = 5.639932965095795e-14 relative error = 2.453321964780379e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = -2.308103060289331 y[1] (numeric) = -2.308103060289389 absolute error = 5.728750807065808e-14 relative error = 2.482016901943574e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.667 Order of pole (six term test) = -9.47 TOP MAIN SOLVE Loop x[1] = 4.789999999999943 y[1] (analytic) = -2.317298697384317 y[1] (numeric) = -2.317298697384374 absolute error = 5.728750807065808e-14 relative error = 2.472167620657714e-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 = 0.1763 Order of pole (three term test) = -26.9 Radius of convergence (six term test) for eq 1 = 0.8337 Order of pole (six term test) = -11.38 TOP MAIN SOLVE Loop x[1] = 4.799999999999943 y[1] (analytic) = -2.326483219319178 y[1] (numeric) = -2.326483219319234 absolute error = 5.639932965095795e-14 relative error = 2.424231096214941e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999943 y[1] (analytic) = -2.335656561996961 y[1] (numeric) = -2.335656561997019 absolute error = 5.773159728050814e-14 relative error = 2.471750265850226e-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 = 0.2939 Order of pole (three term test) = -56.33 Radius of convergence (six term test) for eq 1 = 0.9451 Order of pole (six term test) = -11.75 TOP MAIN SOLVE Loop x[1] = 4.819999999999943 y[1] (analytic) = -2.344818661561772 y[1] (numeric) = -2.34481866156183 absolute error = 5.773159728050814e-14 relative error = 2.46209219616394e-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 = 0.1248 Order of pole (three term test) = -4.907 Radius of convergence (six term test) for eq 1 = 0.7697 Order of pole (six term test) = -12.16 TOP MAIN SOLVE Loop x[1] = 4.829999999999942 y[1] (analytic) = -2.353969454398311 y[1] (numeric) = -2.353969454398368 absolute error = 5.728750807065808e-14 relative error = 2.43365554143527e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.324 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 4.839999999999942 y[1] (analytic) = -2.363108877131431 y[1] (numeric) = -2.363108877131489 absolute error = 5.728750807065808e-14 relative error = 2.424243276517972e-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 = 0.0117 Order of pole (three term test) = -0.6526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999942 y[1] (analytic) = -2.372236866625692 y[1] (numeric) = -2.37223686662575 absolute error = 5.81756864903582e-14 relative error = 2.452355719987956e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.448 Order of pole (six term test) = -11.15 TOP MAIN SOLVE Loop x[1] = 4.859999999999942 y[1] (analytic) = -2.381353359984912 y[1] (numeric) = -2.38135335998497 absolute error = 5.728750807065808e-14 relative error = 2.405670197178173e-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 = 0.1423 Order of pole (three term test) = -21.22 Radius of convergence (six term test) for eq 1 = 0.3882 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = -2.390458294551721 y[1] (numeric) = -2.390458294551778 absolute error = 5.773159728050814e-14 relative error = 2.415084898661011e-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 = 0.01894 Order of pole (three term test) = -31.4 Radius of convergence (six term test) for eq 1 = 1.089 Order of pole (six term test) = -11.61 TOP MAIN SOLVE Loop x[1] = 4.879999999999941 y[1] (analytic) = -2.399551607907114 y[1] (numeric) = -2.399551607907173 absolute error = 5.861977570020827e-14 relative error = 2.442947070070994e-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 = 0.09067 Order of pole (three term test) = -20.58 Radius of convergence (six term test) for eq 1 = 1.028 Order of pole (six term test) = -11.19 TOP MAIN SOLVE Loop x[1] = 4.889999999999941 y[1] (analytic) = -2.408633237870013 y[1] (numeric) = -2.408633237870072 absolute error = 5.81756864903582e-14 relative error = 2.415298667131395e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999941 y[1] (analytic) = -2.417703122496812 y[1] (numeric) = -2.417703122496871 absolute error = 5.906386491005833e-14 relative error = 2.442974257693884e-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 = 0.5413 Order of pole (three term test) = -20.99 Radius of convergence (six term test) for eq 1 = 2.509 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 4.909999999999941 y[1] (analytic) = -2.42676120008094 y[1] (numeric) = -2.426761200080999 absolute error = 5.906386491005833e-14 relative error = 2.43385566359345e-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 = 0.04223 Order of pole (three term test) = -3.955 Radius of convergence (six term test) for eq 1 = 1.57 Order of pole (six term test) = -11.32 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = -2.435807409152416 y[1] (numeric) = -2.435807409152476 absolute error = 5.950795411990839e-14 relative error = 2.44304840753462e-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 = 0.06338 Order of pole (three term test) = -5.833 Radius of convergence (six term test) for eq 1 = 1.26 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 4.92999999999994 y[1] (analytic) = -2.444841688477408 y[1] (numeric) = -2.444841688477467 absolute error = 5.861977570020827e-14 relative error = 2.397692086832638e-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 = 0.04962 Order of pole (three term test) = -31.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.93999999999994 y[1] (analytic) = -2.453863977057785 y[1] (numeric) = -2.453863977057845 absolute error = 6.039613253960852e-14 relative error = 2.461266521057303e-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 = 0.03123 Order of pole (three term test) = -14.97 Radius of convergence (six term test) for eq 1 = 1.105 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 4.94999999999994 y[1] (analytic) = -2.462874214130686 y[1] (numeric) = -2.462874214130744 absolute error = 5.861977570020827e-14 relative error = 2.380136807794674e-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 = 0.01399 Order of pole (three term test) = -1.084 Radius of convergence (six term test) for eq 1 = 0.9464 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = 4.95999999999994 y[1] (analytic) = -2.471872339168064 y[1] (numeric) = -2.471872339168124 absolute error = 5.950795411990839e-14 relative error = 2.407404022326511e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.499 Order of pole (six term test) = -11.88 TOP MAIN SOLVE Loop x[1] = 4.969999999999939 y[1] (analytic) = -2.480858291876263 y[1] (numeric) = -2.480858291876322 absolute error = 5.906386491005833e-14 relative error = 2.380783501559397e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999939 y[1] (analytic) = -2.489832012195561 y[1] (numeric) = -2.489832012195621 absolute error = 5.995204332975845e-14 relative error = 2.407875030769328e-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 = 0.1362 Order of pole (three term test) = -25.27 Radius of convergence (six term test) for eq 1 = 0.6508 Order of pole (six term test) = -11.37 TOP MAIN SOLVE Loop x[1] = 4.989999999999939 y[1] (analytic) = -2.498793440299746 y[1] (numeric) = -2.498793440299806 absolute error = 6.084022174945858e-14 relative error = 2.434783954857846e-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 = 0.1849 Order of pole (three term test) = -10.79 Radius of convergence (six term test) for eq 1 = 1.26 Order of pole (six term test) = -10.82 TOP MAIN SOLVE Loop x[1] = 4.999999999999939 y[1] (analytic) = -2.507742516595666 y[1] (numeric) = -2.507742516595727 absolute error = 6.084022174945858e-14 relative error = 2.426095236924521e-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 = 0.01868 Order of pole (three term test) = -0.1177 Radius of convergence (six term test) for eq 1 = 1.856 Order of pole (six term test) = -14.22 Finished! diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); Iterations = 601 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.3 %