##############ECHO OF PROBLEM################# ##############temp/cosh_sqrtpostode.ode################# diff ( y , x , 1 ) = cosh(sqrt(0.1 * x + 0.2)); ! // 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(20.0 * sqrt(0.1 * x + 0.2) * sinh( sqrt(0.1 * x + 0.2)) - 20.0 * cosh( sqrt(0.1 * x + 0.2))); } // 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 = 5.153115133958248e-178 estimated_step_error = 5.153115133958248e-178 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 = 3.45819419971543e-170 estimated_step_error = 3.45819419971543e-170 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 = 2.320751047617101e-162 estimated_step_error = 2.320751047617101e-162 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.557424571147094e-154 estimated_step_error = 1.557424571147094e-154 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 = 1.045163101455578e-146 estimated_step_error = 1.045163101455578e-146 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 = 7.013879094760787e-139 estimated_step_error = 7.013879094760787e-139 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 = 4.706811443437125e-131 estimated_step_error = 4.706811443437125e-131 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 = 3.158522424730706e-123 estimated_step_error = 3.158522424730706e-123 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 = 2.119426727704143e-115 estimated_step_error = 2.119426727704143e-115 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.422025584897863e-107 estimated_step_error = 1.422025584897863e-107 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 = 9.539059432992613e-100 estimated_step_error = 9.539059432992613e-100 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 = 6.396200310818345e-92 estimated_step_error = 6.396200310818345e-92 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 = 4.285244177948298e-84 estimated_step_error = 4.285244177948298e-84 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.866185827953225e-76 estimated_step_error = 2.866185827953225e-76 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.910682935030292e-68 estimated_step_error = 1.910682935030292e-68 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.265333149092105e-60 estimated_step_error = 1.265333149092105e-60 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 = 8.271356817345118e-53 estimated_step_error = 8.271356817345118e-53 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 = 5.273419265141328e-45 estimated_step_error = 5.273419265141328e-45 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = -18.9748607633924 y[1] (numeric) = -18.9748607633924 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 = 0.02151 Order of pole (three term test) = -9.405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.99 y[1] (analytic) = -18.96435404079623 y[1] (numeric) = -18.96435404079623 absolute error = 3.552713678800501e-15 relative error = 1.873363928535547e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03753 Order of pole (three term test) = -29.39 Radius of convergence (six term test) for eq 1 = 0.326 Order of pole (six term test) = -10.95 TOP MAIN SOLVE Loop x[1] = -0.98 y[1] (analytic) = -18.95384223360733 y[1] (numeric) = -18.95384223360732 absolute error = 3.552713678800501e-15 relative error = 1.874402896791625e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01113 Order of pole (three term test) = -27.54 Radius of convergence (six term test) for eq 1 = 0.1991 Order of pole (six term test) = -12.56 TOP MAIN SOLVE Loop x[1] = -0.97 y[1] (analytic) = -18.94332534098385 y[1] (numeric) = -18.94332534098385 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 = 0.009115 Order of pole (three term test) = 2.681 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.96 y[1] (analytic) = -18.93280336208392 y[1] (numeric) = -18.93280336208392 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 = 0.0392 Order of pole (three term test) = -23.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.95 y[1] (analytic) = -18.92227629606553 y[1] (numeric) = -18.92227629606553 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 = 0.003703 Order of pole (three term test) = -23.77 Radius of convergence (six term test) for eq 1 = 0.3341 Order of pole (six term test) = -12.78 TOP MAIN SOLVE Loop x[1] = -0.9399999999999999 y[1] (analytic) = -18.9117441420866 y[1] (numeric) = -18.9117441420866 absolute error = 3.552713678800501e-15 relative error = 1.878575372059004e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01004 Order of pole (three term test) = -23.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299999999999999 y[1] (analytic) = -18.90120689930499 y[1] (numeric) = -18.90120689930498 absolute error = 3.552713678800501e-15 relative error = 1.879622659932439e-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 = 0.5778 Order of pole (six term test) = -13.24 TOP MAIN SOLVE Loop x[1] = -0.9199999999999999 y[1] (analytic) = -18.89066456687844 y[1] (numeric) = -18.89066456687843 absolute error = 3.552713678800501e-15 relative error = 1.880671622865814e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005365 Order of pole (three term test) = -24.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9099999999999999 y[1] (analytic) = -18.88011714396463 y[1] (numeric) = -18.88011714396463 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8999999999999999 y[1] (analytic) = -18.86956462972115 y[1] (numeric) = -18.86956462972115 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899999999999999 y[1] (analytic) = -18.85900702330552 y[1] (numeric) = -18.85900702330552 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 = 0.01648 Order of pole (three term test) = 2.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8799999999999999 y[1] (analytic) = -18.84844432387514 y[1] (numeric) = -18.84844432387514 absolute error = 3.552713678800501e-15 relative error = 1.884884300133096e-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 = 0.2196 Order of pole (six term test) = -10.72 TOP MAIN SOLVE Loop x[1] = -0.8699999999999999 y[1] (analytic) = -18.83787653058736 y[1] (numeric) = -18.83787653058736 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8599999999999999 y[1] (analytic) = -18.82730364259942 y[1] (numeric) = -18.82730364259942 absolute error = 3.552713678800501e-15 relative error = 1.887000786858287e-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] = -0.8499999999999999 y[1] (analytic) = -18.81672565906851 y[1] (numeric) = -18.81672565906851 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 = 0.008285 Order of pole (three term test) = -3.012 Radius of convergence (six term test) for eq 1 = 0.289 Order of pole (six term test) = -12.64 TOP MAIN SOLVE Loop x[1] = -0.8399999999999999 y[1] (analytic) = -18.80614257915171 y[1] (numeric) = -18.80614257915171 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 = 0.03988 Order of pole (three term test) = 5.619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8299999999999998 y[1] (analytic) = -18.79555440200602 y[1] (numeric) = -18.79555440200602 absolute error = 3.552713678800501e-15 relative error = 1.890188287514055e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1437 Order of pole (three term test) = -117.9 Radius of convergence (six term test) for eq 1 = 0.1728 Order of pole (six term test) = -11.41 TOP MAIN SOLVE Loop x[1] = -0.8199999999999998 y[1] (analytic) = -18.78496112678835 y[1] (numeric) = -18.78496112678835 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 = 0.005665 Order of pole (three term test) = -21.02 Radius of convergence (six term test) for eq 1 = 0.1913 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = -0.8099999999999998 y[1] (analytic) = -18.77436275265554 y[1] (numeric) = -18.77436275265554 absolute error = 3.552713678800501e-15 relative error = 1.892321846342288e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.313 Order of pole (three term test) = -645.9 Radius of convergence (six term test) for eq 1 = 0.6725 Order of pole (six term test) = -14.29 TOP MAIN SOLVE Loop x[1] = -0.7999999999999998 y[1] (analytic) = -18.76375927876434 y[1] (numeric) = -18.76375927876434 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1218 Order of pole (six term test) = -11.93 TOP MAIN SOLVE Loop x[1] = -0.7899999999999998 y[1] (analytic) = -18.75315070427142 y[1] (numeric) = -18.75315070427142 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799999999999998 y[1] (analytic) = -18.74253702833335 y[1] (numeric) = -18.74253702833336 absolute error = 3.552713678800501e-15 relative error = 1.895535099346377e-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 = 0.3859 Order of pole (six term test) = -12.73 TOP MAIN SOLVE Loop x[1] = -0.7699999999999998 y[1] (analytic) = -18.73191825010665 y[1] (numeric) = -18.73191825010665 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 = 0.004945 Order of pole (three term test) = -26.81 Radius of convergence (six term test) for eq 1 = 0.3244 Order of pole (six term test) = -11.26 TOP MAIN SOLVE Loop x[1] = -0.7599999999999998 y[1] (analytic) = -18.72129436874771 y[1] (numeric) = -18.7212943687477 absolute error = 3.552713678800501e-15 relative error = 1.897685923218645e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04998 Order of pole (three term test) = -19.77 Radius of convergence (six term test) for eq 1 = 0.4139 Order of pole (six term test) = -12.45 TOP MAIN SOLVE Loop x[1] = -0.7499999999999998 y[1] (analytic) = -18.71066538341286 y[1] (numeric) = -18.71066538341286 absolute error = 3.552713678800501e-15 relative error = 1.898763943451208e-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] = -0.7399999999999998 y[1] (analytic) = -18.70003129325837 y[1] (numeric) = -18.70003129325836 absolute error = 7.105427357601002e-15 relative error = 3.799687415583423e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02307 Order of pole (three term test) = -35.27 Radius of convergence (six term test) for eq 1 = 0.3552 Order of pole (six term test) = -12.95 TOP MAIN SOLVE Loop x[1] = -0.7299999999999998 y[1] (analytic) = -18.68939209744037 y[1] (numeric) = -18.68939209744036 absolute error = 3.552713678800501e-15 relative error = 1.90092522018791e-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 = 0.5355 Order of pole (six term test) = -8.293 TOP MAIN SOLVE Loop x[1] = -0.7199999999999998 y[1] (analytic) = -18.67874779511496 y[1] (numeric) = -18.67874779511495 absolute error = 3.552713678800501e-15 relative error = 1.902008484599615e-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 = 0.1804 Order of pole (six term test) = -10.85 TOP MAIN SOLVE Loop x[1] = -0.7099999999999997 y[1] (analytic) = -18.66809838543812 y[1] (numeric) = -18.66809838543812 absolute error = 3.552713678800501e-15 relative error = 1.903093504998754e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03064 Order of pole (three term test) = -45.22 Radius of convergence (six term test) for eq 1 = 0.1442 Order of pole (six term test) = -12.02 TOP MAIN SOLVE Loop x[1] = -0.6999999999999997 y[1] (analytic) = -18.65744386756577 y[1] (numeric) = -18.65744386756577 absolute error = 7.105427357601002e-15 relative error = 3.808360570738805e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1164 Order of pole (three term test) = -88.29 Radius of convergence (six term test) for eq 1 = 0.2668 Order of pole (six term test) = -11.71 TOP MAIN SOLVE Loop x[1] = -0.6899999999999997 y[1] (analytic) = -18.64678424065373 y[1] (numeric) = -18.64678424065373 absolute error = 3.552713678800501e-15 relative error = 1.905268829707844e-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) = -12.73 TOP MAIN SOLVE Loop x[1] = -0.6799999999999997 y[1] (analytic) = -18.63611950385774 y[1] (numeric) = -18.63611950385773 absolute error = 3.552713678800501e-15 relative error = 1.906359142022607e-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 = 0.02717 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = -0.6699999999999997 y[1] (analytic) = -18.62544965633345 y[1] (numeric) = -18.62544965633345 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 = 0.05397 Order of pole (three term test) = -29.28 Radius of convergence (six term test) for eq 1 = 0.1772 Order of pole (six term test) = -11.67 TOP MAIN SOLVE Loop x[1] = -0.6599999999999997 y[1] (analytic) = -18.61477469723645 y[1] (numeric) = -18.61477469723645 absolute error = 3.552713678800501e-15 relative error = 1.908545086676734e-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] = -0.6499999999999997 y[1] (analytic) = -18.60409462572221 y[1] (numeric) = -18.60409462572221 absolute error = 3.552713678800501e-15 relative error = 1.90964072709482e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08223 Order of pole (three term test) = 7.961 Radius of convergence (six term test) for eq 1 = 0.3317 Order of pole (six term test) = -13.56 TOP MAIN SOLVE Loop x[1] = -0.6399999999999997 y[1] (analytic) = -18.59340944094615 y[1] (numeric) = -18.59340944094614 absolute error = 7.105427357601002e-15 relative error = 3.821476303293536e-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] = -0.6299999999999997 y[1] (analytic) = -18.58271914206357 y[1] (numeric) = -18.58271914206357 absolute error = 3.552713678800501e-15 relative error = 1.911837364403054e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02167 Order of pole (three term test) = 8.746 Radius of convergence (six term test) for eq 1 = 0.257 Order of pole (six term test) = -11.47 TOP MAIN SOLVE Loop x[1] = -0.6199999999999997 y[1] (analytic) = -18.57202372822973 y[1] (numeric) = -18.57202372822973 absolute error = 7.105427357601002e-15 relative error = 3.825876738893378e-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] = -0.6099999999999997 y[1] (analytic) = -18.56132319859978 y[1] (numeric) = -18.56132319859977 absolute error = 1.06581410364015e-14 relative error = 5.742123512619795e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07513 Order of pole (three term test) = -11.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999996 y[1] (analytic) = -18.55061755232876 y[1] (numeric) = -18.55061755232875 absolute error = 1.06581410364015e-14 relative error = 5.745437318373008e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01088 Order of pole (three term test) = -23.59 Radius of convergence (six term test) for eq 1 = 0.1374 Order of pole (six term test) = -12.05 TOP MAIN SOLVE Loop x[1] = -0.5899999999999996 y[1] (analytic) = -18.53990678857168 y[1] (numeric) = -18.53990678857167 absolute error = 1.06581410364015e-14 relative error = 5.748756537962404e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04121 Order of pole (three term test) = -19.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799999999999996 y[1] (analytic) = -18.52919090648343 y[1] (numeric) = -18.52919090648342 absolute error = 1.06581410364015e-14 relative error = 5.752081183788861e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03183 Order of pole (three term test) = -32.36 Radius of convergence (six term test) for eq 1 = 0.1932 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = -0.5699999999999996 y[1] (analytic) = -18.51846990521883 y[1] (numeric) = -18.51846990521882 absolute error = 1.06581410364015e-14 relative error = 5.755411268291583e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0457 Order of pole (three term test) = -5.545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599999999999996 y[1] (analytic) = -18.5077437839326 y[1] (numeric) = -18.50774378393259 absolute error = 1.06581410364015e-14 relative error = 5.758746803948253e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04757 Order of pole (three term test) = -26.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999996 y[1] (analytic) = -18.4970125417794 y[1] (numeric) = -18.49701254177939 absolute error = 7.105427357601002e-15 relative error = 3.841391868850117e-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] = -0.5399999999999996 y[1] (analytic) = -18.48627617791379 y[1] (numeric) = -18.48627617791378 absolute error = 1.06581410364015e-14 relative error = 5.765434278827426e-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) = -18.47553469149024 y[1] (numeric) = -18.47553469149024 absolute error = 7.105427357601002e-15 relative error = 3.845857495466009e-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 = 0.3704 Order of pole (six term test) = -12.69 TOP MAIN SOLVE Loop x[1] = -0.5199999999999996 y[1] (analytic) = -18.46478808166315 y[1] (numeric) = -18.46478808166315 absolute error = 7.105427357601002e-15 relative error = 3.84809580601534e-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 = 0.4004 Order of pole (six term test) = -12.48 TOP MAIN SOLVE Loop x[1] = -0.5099999999999996 y[1] (analytic) = -18.45403634758684 y[1] (numeric) = -18.45403634758683 absolute error = 1.06581410364015e-14 relative error = 5.775506688971718e-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 = 0.1 Order of pole (six term test) = -11.73 TOP MAIN SOLVE Loop x[1] = -0.4999999999999996 y[1] (analytic) = -18.44327948841552 y[1] (numeric) = -18.44327948841551 absolute error = 1.06581410364015e-14 relative error = 5.778875195756822e-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 = 0.4657 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = -0.4899999999999995 y[1] (analytic) = -18.43251750330334 y[1] (numeric) = -18.43251750330333 absolute error = 7.105427357601002e-15 relative error = 3.854832828086354e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005034 Order of pole (three term test) = -0.604 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799999999999995 y[1] (analytic) = -18.42175039140435 y[1] (numeric) = -18.42175039140434 absolute error = 7.105427357601002e-15 relative error = 3.857085893920492e-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 = 0.3872 Order of pole (six term test) = -11.96 TOP MAIN SOLVE Loop x[1] = -0.4699999999999995 y[1] (analytic) = -18.41097815187253 y[1] (numeric) = -18.41097815187253 absolute error = 7.105427357601002e-15 relative error = 3.859342669894118e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03901 Order of pole (three term test) = -6.71 Radius of convergence (six term test) for eq 1 = 0.3475 Order of pole (six term test) = -12 TOP MAIN SOLVE Loop x[1] = -0.4599999999999995 y[1] (analytic) = -18.40020078386177 y[1] (numeric) = -18.40020078386177 absolute error = 7.105427357601002e-15 relative error = 3.861603164587717e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02962 Order of pole (three term test) = -35.97 Radius of convergence (six term test) for eq 1 = 0.3519 Order of pole (six term test) = -11.34 TOP MAIN SOLVE Loop x[1] = -0.4499999999999995 y[1] (analytic) = -18.38941828652587 y[1] (numeric) = -18.38941828652587 absolute error = 7.105427357601002e-15 relative error = 3.863867386608539e-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 = 0.1794 Order of pole (six term test) = -11.42 TOP MAIN SOLVE Loop x[1] = -0.4399999999999995 y[1] (analytic) = -18.37863065901856 y[1] (numeric) = -18.37863065901855 absolute error = 7.105427357601002e-15 relative error = 3.866135344590705e-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 = 1.165 Order of pole (six term test) = -18.12 TOP MAIN SOLVE Loop x[1] = -0.4299999999999995 y[1] (analytic) = -18.36783790049346 y[1] (numeric) = -18.36783790049345 absolute error = 7.105427357601002e-15 relative error = 3.868407047195311e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02001 Order of pole (three term test) = 1.101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999995 y[1] (analytic) = -18.35704001010413 y[1] (numeric) = -18.35704001010413 absolute error = 3.552713678800501e-15 relative error = 1.935341251555266e-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] = -0.4099999999999995 y[1] (analytic) = -18.34623698700404 y[1] (numeric) = -18.34623698700403 absolute error = 7.105427357601002e-15 relative error = 3.872961721051727e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02625 Order of pole (three term test) = -19.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999995 y[1] (analytic) = -18.33542883034657 y[1] (numeric) = -18.33542883034657 absolute error = 7.105427357601002e-15 relative error = 3.875244709761554e-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 = 0.1686 Order of pole (six term test) = -11.75 TOP MAIN SOLVE Loop x[1] = -0.3899999999999995 y[1] (analytic) = -18.32461553928502 y[1] (numeric) = -18.32461553928502 absolute error = 7.105427357601002e-15 relative error = 3.877531478010063e-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] = -0.3799999999999994 y[1] (analytic) = -18.31379711297261 y[1] (numeric) = -18.3137971129726 absolute error = 3.552713678800501e-15 relative error = 1.939911017297407e-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] = -0.3699999999999994 y[1] (analytic) = -18.30297355056247 y[1] (numeric) = -18.30297355056246 absolute error = 1.06581410364015e-14 relative error = 5.823174582511468e-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 = 0.2263 Order of pole (six term test) = -12.76 TOP MAIN SOLVE Loop x[1] = -0.3599999999999994 y[1] (analytic) = -18.29214485120763 y[1] (numeric) = -18.29214485120762 absolute error = 7.105427357601002e-15 relative error = 3.884414548101454e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02923 Order of pole (three term test) = -21.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999994 y[1] (analytic) = -18.28131101406107 y[1] (numeric) = -18.28131101406106 absolute error = 7.105427357601002e-15 relative error = 3.886716522756964e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05058 Order of pole (three term test) = 5.305 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399999999999994 y[1] (analytic) = -18.27047203827566 y[1] (numeric) = -18.27047203827565 absolute error = 7.105427357601002e-15 relative error = 3.889022321216175e-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 = 1.296 Order of pole (six term test) = -18.22 TOP MAIN SOLVE Loop x[1] = -0.3299999999999994 y[1] (analytic) = -18.25962792300419 y[1] (numeric) = -18.25962792300418 absolute error = 7.105427357601002e-15 relative error = 3.891331952415804e-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] = -0.3199999999999994 y[1] (analytic) = -18.24877866739938 y[1] (numeric) = -18.24877866739937 absolute error = 1.06581410364015e-14 relative error = 5.840468137981087e-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 = 0.2139 Order of pole (six term test) = -11.94 TOP MAIN SOLVE Loop x[1] = -0.3099999999999994 y[1] (analytic) = -18.23792427061384 y[1] (numeric) = -18.23792427061383 absolute error = 7.105427357601002e-15 relative error = 3.895962748924087e-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 = 0.1546 Order of pole (six term test) = -12.04 TOP MAIN SOLVE Loop x[1] = -0.2999999999999994 y[1] (analytic) = -18.22706473180013 y[1] (numeric) = -18.22706473180012 absolute error = 1.06581410364015e-14 relative error = 5.847425898371126e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01241 Order of pole (three term test) = 1.461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999994 y[1] (analytic) = -18.21620005011069 y[1] (numeric) = -18.21620005011068 absolute error = 1.06581410364015e-14 relative error = 5.850913476511113e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03032 Order of pole (three term test) = -8.608 Radius of convergence (six term test) for eq 1 = 0.3557 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = -0.2799999999999994 y[1] (analytic) = -18.20533022469789 y[1] (numeric) = -18.20533022469788 absolute error = 7.105427357601002e-15 relative error = 3.902937914282692e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02433 Order of pole (three term test) = 6.406 Radius of convergence (six term test) for eq 1 = 2.05 Order of pole (six term test) = -16.59 TOP MAIN SOLVE Loop x[1] = -0.2699999999999994 y[1] (analytic) = -18.19445525471402 y[1] (numeric) = -18.19445525471401 absolute error = 7.105427357601002e-15 relative error = 3.905270731180615e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04744 Order of pole (three term test) = 7.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599999999999993 y[1] (analytic) = -18.18357513931129 y[1] (numeric) = -18.18357513931129 absolute error = 7.105427357601002e-15 relative error = 3.907607444170696e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005166 Order of pole (three term test) = -24.57 Radius of convergence (six term test) for eq 1 = 0.1945 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = -0.2499999999999993 y[1] (analytic) = -18.17268987764182 y[1] (numeric) = -18.17268987764181 absolute error = 1.06581410364015e-14 relative error = 5.864922093627097e-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) = -18.16179946885763 y[1] (numeric) = -18.16179946885763 absolute error = 7.105427357601002e-15 relative error = 3.912292595116914e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06655 Order of pole (three term test) = -32.94 Radius of convergence (six term test) for eq 1 = 0.4746 Order of pole (six term test) = -11.43 TOP MAIN SOLVE Loop x[1] = -0.2299999999999993 y[1] (analytic) = -18.15090391211069 y[1] (numeric) = -18.15090391211068 absolute error = 7.105427357601002e-15 relative error = 3.914641051490611e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0467 Order of pole (three term test) = -18.25 Radius of convergence (six term test) for eq 1 = 0.4574 Order of pole (six term test) = -12.8 TOP MAIN SOLVE Loop x[1] = -0.2199999999999993 y[1] (analytic) = -18.14000320655284 y[1] (numeric) = -18.14000320655283 absolute error = 7.105427357601002e-15 relative error = 3.916993440791818e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01957 Order of pole (three term test) = 5.631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999993 y[1] (analytic) = -18.12909735133588 y[1] (numeric) = -18.12909735133587 absolute error = 1.06581410364015e-14 relative error = 5.879024658453905e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01853 Order of pole (three term test) = -15.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999993 y[1] (analytic) = -18.11818634561151 y[1] (numeric) = -18.11818634561149 absolute error = 1.4210854715202e-14 relative error = 7.843420110669126e-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] = -0.1899999999999993 y[1] (analytic) = -18.10727018853132 y[1] (numeric) = -18.1072701885313 absolute error = 1.4210854715202e-14 relative error = 7.848148598457871e-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 = 0.1521 Order of pole (six term test) = -13.92 TOP MAIN SOLVE Loop x[1] = -0.1799999999999993 y[1] (analytic) = -18.09634887924685 y[1] (numeric) = -18.09634887924684 absolute error = 1.06581410364015e-14 relative error = 5.889663770035077e-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] = -0.1699999999999993 y[1] (analytic) = -18.08542241690954 y[1] (numeric) = -18.08542241690953 absolute error = 1.06581410364015e-14 relative error = 5.893222060678181e-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 = 0.2887 Order of pole (six term test) = -11.3 TOP MAIN SOLVE Loop x[1] = -0.1599999999999993 y[1] (analytic) = -18.07449080067077 y[1] (numeric) = -18.07449080067075 absolute error = 1.4210854715202e-14 relative error = 7.862381779892036e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02625 Order of pole (three term test) = -13.85 Radius of convergence (six term test) for eq 1 = 0.2876 Order of pole (six term test) = -13.15 TOP MAIN SOLVE Loop x[1] = -0.1499999999999992 y[1] (analytic) = -18.06355402968178 y[1] (numeric) = -18.06355402968177 absolute error = 1.4210854715202e-14 relative error = 7.867142142598807e-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 = 0.3626 Order of pole (six term test) = -11.15 TOP MAIN SOLVE Loop x[1] = -0.1399999999999992 y[1] (analytic) = -18.05261210309378 y[1] (numeric) = -18.05261210309377 absolute error = 1.06581410364015e-14 relative error = 5.903932891005261e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02076 Order of pole (three term test) = -22.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299999999999992 y[1] (analytic) = -18.04166502005788 y[1] (numeric) = -18.04166502005787 absolute error = 1.77635683940025e-14 relative error = 9.845858668949787e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04702 Order of pole (three term test) = -24.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999992 y[1] (analytic) = -18.03071277972509 y[1] (numeric) = -18.03071277972508 absolute error = 1.4210854715202e-14 relative error = 7.881471403161395e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.007575 Order of pole (three term test) = -26.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999992 y[1] (analytic) = -18.01975538124635 y[1] (numeric) = -18.01975538124634 absolute error = 1.4210854715202e-14 relative error = 7.886263944510383e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01333 Order of pole (three term test) = -8.082 Radius of convergence (six term test) for eq 1 = 0.2108 Order of pole (six term test) = -12.16 TOP MAIN SOLVE Loop x[1] = -0.09999999999999924 y[1] (analytic) = -18.00879282377252 y[1] (numeric) = -18.0087928237725 absolute error = 1.4210854715202e-14 relative error = 7.891064578433574e-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] = -0.08999999999999925 y[1] (analytic) = -17.99782510645435 y[1] (numeric) = -17.99782510645434 absolute error = 1.4210854715202e-14 relative error = 7.895873324219453e-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 = 0.2075 Order of pole (six term test) = -11.65 TOP MAIN SOLVE Loop x[1] = -0.07999999999999925 y[1] (analytic) = -17.98685222844254 y[1] (numeric) = -17.98685222844252 absolute error = 1.4210854715202e-14 relative error = 7.900690201218442e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005294 Order of pole (three term test) = -26.12 Radius of convergence (six term test) for eq 1 = 0.3032 Order of pole (six term test) = -11.11 TOP MAIN SOLVE Loop x[1] = -0.06999999999999926 y[1] (analytic) = -17.97587418888768 y[1] (numeric) = -17.97587418888766 absolute error = 1.4210854715202e-14 relative error = 7.90551522884315e-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] = -0.05999999999999926 y[1] (analytic) = -17.96489098694028 y[1] (numeric) = -17.96489098694027 absolute error = 1.4210854715202e-14 relative error = 7.910348426568631e-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 = 1.079 Order of pole (six term test) = -10.01 TOP MAIN SOLVE Loop x[1] = -0.04999999999999925 y[1] (analytic) = -17.95390262175079 y[1] (numeric) = -17.95390262175077 absolute error = 1.4210854715202e-14 relative error = 7.915189813932624e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0338 Order of pole (three term test) = -15.14 Radius of convergence (six term test) for eq 1 = 0.1162 Order of pole (six term test) = -11.65 TOP MAIN SOLVE Loop x[1] = -0.03999999999999925 y[1] (analytic) = -17.94290909246953 y[1] (numeric) = -17.94290909246952 absolute error = 1.77635683940025e-14 relative error = 9.900049263169763e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.006178 Order of pole (three term test) = -0.3382 Radius of convergence (six term test) for eq 1 = 0.2084 Order of pole (six term test) = -12.46 TOP MAIN SOLVE Loop x[1] = -0.02999999999999925 y[1] (analytic) = -17.93191039824678 y[1] (numeric) = -17.93191039824676 absolute error = 1.77635683940025e-14 relative error = 9.906121545052592e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.007809 Order of pole (three term test) = -1.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01999999999999925 y[1] (analytic) = -17.92090653823271 y[1] (numeric) = -17.92090653823269 absolute error = 1.4210854715202e-14 relative error = 7.929763310178741e-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 = 0.569 Order of pole (six term test) = -12.22 TOP MAIN SOLVE Loop x[1] = -0.009999999999999247 y[1] (analytic) = -17.90989751157741 y[1] (numeric) = -17.90989751157739 absolute error = 1.77635683940025e-14 relative error = 9.918297065921056e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08112 Order of pole (three term test) = -19.44 Radius of convergence (six term test) for eq 1 = 0.4723 Order of pole (six term test) = -12.06 TOP MAIN SOLVE Loop x[1] = 7.528699885739343e-16 y[1] (analytic) = -17.89888331743088 y[1] (numeric) = -17.89888331743087 absolute error = 1.06581410364015e-14 relative error = 5.954640212678542e-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] = 0.01000000000000075 y[1] (analytic) = -17.88786395494306 y[1] (numeric) = -17.88786395494305 absolute error = 1.4210854715202e-14 relative error = 7.944411222601586e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03776 Order of pole (three term test) = -27.99 Radius of convergence (six term test) for eq 1 = 0.3164 Order of pole (six term test) = -11.28 TOP MAIN SOLVE Loop x[1] = 0.02000000000000075 y[1] (analytic) = -17.87683942326378 y[1] (numeric) = -17.87683942326376 absolute error = 1.4210854715202e-14 relative error = 7.949310489811137e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05103 Order of pole (three term test) = -22.46 Radius of convergence (six term test) for eq 1 = 0.2888 Order of pole (six term test) = -11.82 TOP MAIN SOLVE Loop x[1] = 0.03000000000000076 y[1] (analytic) = -17.86580972154279 y[1] (numeric) = -17.86580972154277 absolute error = 1.4210854715202e-14 relative error = 7.954218105248485e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04765 Order of pole (three term test) = 16.14 Radius of convergence (six term test) for eq 1 = 0.2553 Order of pole (six term test) = -11.29 TOP MAIN SOLVE Loop x[1] = 0.04000000000000076 y[1] (analytic) = -17.85477484892976 y[1] (numeric) = -17.85477484892975 absolute error = 1.06581410364015e-14 relative error = 5.969350566770304e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07176 Order of pole (three term test) = 5.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000076 y[1] (analytic) = -17.84373480457428 y[1] (numeric) = -17.84373480457426 absolute error = 1.4210854715202e-14 relative error = 7.964058461325609e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03157 Order of pole (three term test) = -30.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000076 y[1] (analytic) = -17.83268958762584 y[1] (numeric) = -17.83268958762583 absolute error = 1.4210854715202e-14 relative error = 7.968991242388338e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03146 Order of pole (three term test) = 4.124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000076 y[1] (analytic) = -17.82163919723387 y[1] (numeric) = -17.82163919723386 absolute error = 1.77635683940025e-14 relative error = 9.967415565656619e-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 = 0.7103 Order of pole (six term test) = -13.17 TOP MAIN SOLVE Loop x[1] = 0.08000000000000075 y[1] (analytic) = -17.8105836325477 y[1] (numeric) = -17.81058363254768 absolute error = 1.77635683940025e-14 relative error = 9.973602640140734e-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] = 0.09000000000000075 y[1] (analytic) = -17.79952289271655 y[1] (numeric) = -17.79952289271654 absolute error = 1.4210854715202e-14 relative error = 7.983840241592651e-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] = 0.1000000000000007 y[1] (analytic) = -17.78845697688962 y[1] (numeric) = -17.7884569768896 absolute error = 1.4210854715202e-14 relative error = 7.988806861474519e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08258 Order of pole (three term test) = -45.05 Radius of convergence (six term test) for eq 1 = 0.5521 Order of pole (six term test) = -11.85 TOP MAIN SOLVE Loop x[1] = 0.1100000000000007 y[1] (analytic) = -17.77738588421596 y[1] (numeric) = -17.77738588421594 absolute error = 1.4210854715202e-14 relative error = 7.993781992334106e-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] = 0.1200000000000007 y[1] (analytic) = -17.76630961384457 y[1] (numeric) = -17.76630961384456 absolute error = 1.4210854715202e-14 relative error = 7.998765654814468e-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] = 0.1300000000000007 y[1] (analytic) = -17.75522816492436 y[1] (numeric) = -17.75522816492435 absolute error = 1.4210854715202e-14 relative error = 8.003757869626083e-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 = 0.4134 Order of pole (six term test) = -11.69 TOP MAIN SOLVE Loop x[1] = 0.1400000000000007 y[1] (analytic) = -17.74414153660415 y[1] (numeric) = -17.74414153660414 absolute error = 1.4210854715202e-14 relative error = 8.008758657547124e-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 = 0.2587 Order of pole (six term test) = -11.61 TOP MAIN SOLVE Loop x[1] = 0.1500000000000007 y[1] (analytic) = -17.73304972803269 y[1] (numeric) = -17.73304972803268 absolute error = 1.4210854715202e-14 relative error = 8.01376803942373e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06071 Order of pole (three term test) = -31.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000008 y[1] (analytic) = -17.72195273835862 y[1] (numeric) = -17.72195273835861 absolute error = 1.4210854715202e-14 relative error = 8.018786036170295e-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 = 0.2879 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 0.1700000000000008 y[1] (analytic) = -17.71085056673052 y[1] (numeric) = -17.7108505667305 absolute error = 1.4210854715202e-14 relative error = 8.023812668769739e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01794 Order of pole (three term test) = -26.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000008 y[1] (analytic) = -17.69974321229686 y[1] (numeric) = -17.69974321229685 absolute error = 1.4210854715202e-14 relative error = 8.028847958273789e-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 = 0.6871 Order of pole (six term test) = -11.92 TOP MAIN SOLVE Loop x[1] = 0.1900000000000008 y[1] (analytic) = -17.68863067420606 y[1] (numeric) = -17.68863067420605 absolute error = 1.4210854715202e-14 relative error = 8.033891925803265e-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) = -6.352 TOP MAIN SOLVE Loop x[1] = 0.2000000000000008 y[1] (analytic) = -17.67751295160642 y[1] (numeric) = -17.67751295160641 absolute error = 1.06581410364015e-14 relative error = 6.02920844441127e-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 = 0.9794 Order of pole (six term test) = -13.3 TOP MAIN SOLVE Loop x[1] = 0.2100000000000008 y[1] (analytic) = -17.66639004364619 y[1] (numeric) = -17.66639004364617 absolute error = 1.4210854715202e-14 relative error = 8.044005979768921e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03426 Order of pole (three term test) = -4.268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000008 y[1] (analytic) = -17.65526194947348 y[1] (numeric) = -17.65526194947347 absolute error = 1.06581410364015e-14 relative error = 6.036807081596062e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02092 Order of pole (three term test) = -25.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000008 y[1] (analytic) = -17.64412866823639 y[1] (numeric) = -17.64412866823638 absolute error = 1.4210854715202e-14 relative error = 8.054155001025868e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02909 Order of pole (three term test) = -2.666 Radius of convergence (six term test) for eq 1 = 1.033 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = 0.2400000000000008 y[1] (analytic) = -17.63299019908288 y[1] (numeric) = -17.63299019908287 absolute error = 1.06581410364015e-14 relative error = 6.04443200844962e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01314 Order of pole (three term test) = -30.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000008 y[1] (analytic) = -17.62184654116085 y[1] (numeric) = -17.62184654116084 absolute error = 1.06581410364015e-14 relative error = 6.04825437079274e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02603 Order of pole (three term test) = -3.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000008 y[1] (analytic) = -17.6106976936181 y[1] (numeric) = -17.61069769361809 absolute error = 1.06581410364015e-14 relative error = 6.052083354008106e-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] = 0.2700000000000009 y[1] (analytic) = -17.59954365560235 y[1] (numeric) = -17.59954365560234 absolute error = 1.06581410364015e-14 relative error = 6.055918974358613e-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 = 0.8065 Order of pole (six term test) = -12.73 TOP MAIN SOLVE Loop x[1] = 0.2800000000000009 y[1] (analytic) = -17.58838442626125 y[1] (numeric) = -17.58838442626124 absolute error = 1.4210854715202e-14 relative error = 8.079681664214565e-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) = -17.57722000474234 y[1] (numeric) = -17.57722000474233 absolute error = 1.06581410364015e-14 relative error = 6.063610191785694e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02533 Order of pole (three term test) = -2.352 Radius of convergence (six term test) for eq 1 = 0.4456 Order of pole (six term test) = -12.17 TOP MAIN SOLVE Loop x[1] = 0.3000000000000009 y[1] (analytic) = -17.5660503901931 y[1] (numeric) = -17.56605039019309 absolute error = 7.105427357601002e-15 relative error = 4.044977214438523e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.008121 Order of pole (three term test) = -24.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000009 y[1] (analytic) = -17.55487558176091 y[1] (numeric) = -17.5548755817609 absolute error = 1.06581410364015e-14 relative error = 6.071328154256502e-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) = -17.54369557859307 y[1] (numeric) = -17.54369557859306 absolute error = 1.06581410364015e-14 relative error = 6.075197206115816e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1012 Order of pole (three term test) = -39.4 Radius of convergence (six term test) for eq 1 = 0.1032 Order of pole (six term test) = -11.59 TOP MAIN SOLVE Loop x[1] = 0.3300000000000009 y[1] (analytic) = -17.5325103798368 y[1] (numeric) = -17.53251037983679 absolute error = 1.06581410364015e-14 relative error = 6.07907299382458e-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 = 0.3003 Order of pole (six term test) = -11.87 TOP MAIN SOLVE Loop x[1] = 0.3400000000000009 y[1] (analytic) = -17.52131998463922 y[1] (numeric) = -17.52131998463921 absolute error = 1.06581410364015e-14 relative error = 6.082955534026772e-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 = 0.2723 Order of pole (six term test) = -11.58 TOP MAIN SOLVE Loop x[1] = 0.3500000000000009 y[1] (analytic) = -17.51012439214738 y[1] (numeric) = -17.51012439214737 absolute error = 1.06581410364015e-14 relative error = 6.086844843421711e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04956 Order of pole (three term test) = -8.897 Radius of convergence (six term test) for eq 1 = 0.2848 Order of pole (six term test) = -11.76 TOP MAIN SOLVE Loop x[1] = 0.3600000000000009 y[1] (analytic) = -17.49892360150825 y[1] (numeric) = -17.49892360150823 absolute error = 1.06581410364015e-14 relative error = 6.090740938764296e-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 = 0.4347 Order of pole (six term test) = -11.27 TOP MAIN SOLVE Loop x[1] = 0.3700000000000009 y[1] (analytic) = -17.48771761186868 y[1] (numeric) = -17.48771761186867 absolute error = 7.105427357601002e-15 relative error = 4.063095891243488e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06563 Order of pole (three term test) = -44.94 Radius of convergence (six term test) for eq 1 = 0.6573 Order of pole (six term test) = -10.42 TOP MAIN SOLVE Loop x[1] = 0.3800000000000009 y[1] (analytic) = -17.47650642237549 y[1] (numeric) = -17.47650642237548 absolute error = 3.552713678800501e-15 relative error = 2.032851184863754e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005238 Order of pole (three term test) = -26.18 Radius of convergence (six term test) for eq 1 = 0.5809 Order of pole (six term test) = -12.66 TOP MAIN SOLVE Loop x[1] = 0.390000000000001 y[1] (analytic) = -17.46529003217537 y[1] (numeric) = -17.46529003217536 absolute error = 3.552713678800501e-15 relative error = 2.034156702955134e-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 = 0.994 Order of pole (six term test) = -9.559 TOP MAIN SOLVE Loop x[1] = 0.400000000000001 y[1] (analytic) = -17.45406844041495 y[1] (numeric) = -17.45406844041494 absolute error = 3.552713678800501e-15 relative error = 2.035464505555726e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.974 Order of pole (three term test) = -758.4 Radius of convergence (six term test) for eq 1 = 0.4236 Order of pole (six term test) = -12.76 TOP MAIN SOLVE Loop x[1] = 0.410000000000001 y[1] (analytic) = -17.44284164624076 y[1] (numeric) = -17.44284164624075 absolute error = 3.552713678800501e-15 relative error = 2.036774598344286e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2331 Order of pole (three term test) = -49.48 Radius of convergence (six term test) for eq 1 = 0.4412 Order of pole (six term test) = -12.16 TOP MAIN SOLVE Loop x[1] = 0.420000000000001 y[1] (analytic) = -17.43160964879925 y[1] (numeric) = -17.43160964879925 absolute error = 3.552713678800501e-15 relative error = 2.038086987018565e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2521 Order of pole (three term test) = -84.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.430000000000001 y[1] (analytic) = -17.4203724472368 y[1] (numeric) = -17.4203724472368 absolute error = 3.552713678800501e-15 relative error = 2.039401677295383e-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 = 0.4769 Order of pole (six term test) = -12.08 TOP MAIN SOLVE Loop x[1] = 0.440000000000001 y[1] (analytic) = -17.40913004069968 y[1] (numeric) = -17.40913004069968 absolute error = 3.552713678800501e-15 relative error = 2.040718674910717e-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] = 0.450000000000001 y[1] (analytic) = -17.3978824283341 y[1] (numeric) = -17.39788242833409 absolute error = 3.552713678800501e-15 relative error = 2.042037985619774e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05377 Order of pole (three term test) = 3.752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.460000000000001 y[1] (analytic) = -17.38662960928616 y[1] (numeric) = -17.38662960928615 absolute error = 3.552713678800501e-15 relative error = 2.043359615197074e-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 = 0.7473 Order of pole (six term test) = -11.75 TOP MAIN SOLVE Loop x[1] = 0.470000000000001 y[1] (analytic) = -17.37537158270189 y[1] (numeric) = -17.37537158270189 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2015 Order of pole (six term test) = -11.3 TOP MAIN SOLVE Loop x[1] = 0.480000000000001 y[1] (analytic) = -17.36410834772724 y[1] (numeric) = -17.36410834772724 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 = 0.1291 Order of pole (three term test) = -39.06 Radius of convergence (six term test) for eq 1 = 0.1932 Order of pole (six term test) = -11.93 TOP MAIN SOLVE Loop x[1] = 0.490000000000001 y[1] (analytic) = -17.35283990350807 y[1] (numeric) = -17.35283990350807 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.759 Order of pole (six term test) = -11.38 TOP MAIN SOLVE Loop x[1] = 0.500000000000001 y[1] (analytic) = -17.34156624919014 y[1] (numeric) = -17.34156624919014 absolute error = 3.552713678800501e-15 relative error = 2.048669438359648e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.53 Order of pole (three term test) = 195.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.510000000000001 y[1] (analytic) = -17.33028738391916 y[1] (numeric) = -17.33028738391915 absolute error = 3.552713678800501e-15 relative error = 2.050002749577643e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04983 Order of pole (three term test) = -11.78 Radius of convergence (six term test) for eq 1 = 0.4899 Order of pole (six term test) = -11.66 TOP MAIN SOLVE Loop x[1] = 0.520000000000001 y[1] (analytic) = -17.31900330684071 y[1] (numeric) = -17.31900330684071 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 = 0.015 Order of pole (three term test) = -25.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.530000000000001 y[1] (analytic) = -17.30771401710033 y[1] (numeric) = -17.30771401710032 absolute error = 3.552713678800501e-15 relative error = 2.05267643970218e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04604 Order of pole (three term test) = -6.913 Radius of convergence (six term test) for eq 1 = 1.34 Order of pole (six term test) = -9.045 TOP MAIN SOLVE Loop x[1] = 0.540000000000001 y[1] (analytic) = -17.29641951384344 y[1] (numeric) = -17.29641951384344 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 = 0.03576 Order of pole (three term test) = -30.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.550000000000001 y[1] (analytic) = -17.28511979621539 y[1] (numeric) = -17.28511979621539 absolute error = 3.552713678800501e-15 relative error = 2.055359592924762e-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 = 0.6798 Order of pole (six term test) = -13.35 TOP MAIN SOLVE Loop x[1] = 0.5600000000000011 y[1] (analytic) = -17.27381486336146 y[1] (numeric) = -17.27381486336146 absolute error = 3.552713678800501e-15 relative error = 2.056704733090527e-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] = 0.5700000000000011 y[1] (analytic) = -17.26250471442681 y[1] (numeric) = -17.26250471442682 absolute error = 3.552713678800501e-15 relative error = 2.058052256942405e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04448 Order of pole (three term test) = -28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000011 y[1] (analytic) = -17.25118934855655 y[1] (numeric) = -17.25118934855656 absolute error = 3.552713678800501e-15 relative error = 2.059402170493111e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0372 Order of pole (three term test) = -19.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000011 y[1] (analytic) = -17.23986876489569 y[1] (numeric) = -17.23986876489569 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 = 0.01323 Order of pole (three term test) = -27.66 Radius of convergence (six term test) for eq 1 = 0.74 Order of pole (six term test) = -12.2 TOP MAIN SOLVE Loop x[1] = 0.6000000000000011 y[1] (analytic) = -17.22854296258915 y[1] (numeric) = -17.22854296258915 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 = 2.297 Order of pole (three term test) = 238.3 Radius of convergence (six term test) for eq 1 = 0.4357 Order of pole (six term test) = -12.39 TOP MAIN SOLVE Loop x[1] = 0.6100000000000011 y[1] (analytic) = -17.21721194078177 y[1] (numeric) = -17.21721194078176 absolute error = 3.552713678800501e-15 relative error = 2.063466309771863e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1741 Order of pole (three term test) = -91.36 Radius of convergence (six term test) for eq 1 = 0.6772 Order of pole (six term test) = -12.54 TOP MAIN SOLVE Loop x[1] = 0.6200000000000011 y[1] (analytic) = -17.20587569861829 y[1] (numeric) = -17.20587569861829 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2983 Order of pole (six term test) = -11.86 TOP MAIN SOLVE Loop x[1] = 0.6300000000000011 y[1] (analytic) = -17.19453423524341 y[1] (numeric) = -17.19453423524341 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 = 0.02377 Order of pole (three term test) = -17.39 Radius of convergence (six term test) for eq 1 = 0.09173 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = 0.6400000000000011 y[1] (analytic) = -17.18318754980169 y[1] (numeric) = -17.1831875498017 absolute error = 3.552713678800501e-15 relative error = 2.067552174766027e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1176 Order of pole (three term test) = 14.05 Radius of convergence (six term test) for eq 1 = 0.8481 Order of pole (six term test) = -12.25 TOP MAIN SOLVE Loop x[1] = 0.6500000000000011 y[1] (analytic) = -17.17183564143765 y[1] (numeric) = -17.17183564143766 absolute error = 3.552713678800501e-15 relative error = 2.068918986289029e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01184 Order of pole (three term test) = -25.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000011 y[1] (analytic) = -17.1604785092957 y[1] (numeric) = -17.1604785092957 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.348 Order of pole (six term test) = -11.98 TOP MAIN SOLVE Loop x[1] = 0.6700000000000012 y[1] (analytic) = -17.14911615252017 y[1] (numeric) = -17.14911615252017 absolute error = 3.552713678800501e-15 relative error = 2.07165993116118e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0678 Order of pole (three term test) = -17.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000012 y[1] (analytic) = -17.1377485702553 y[1] (numeric) = -17.1377485702553 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1685 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = 0.6900000000000012 y[1] (analytic) = -17.12637576164526 y[1] (numeric) = -17.12637576164525 absolute error = 3.552713678800501e-15 relative error = 2.074410679903947e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1504 Order of pole (three term test) = -31.74 Radius of convergence (six term test) for eq 1 = 1.021 Order of pole (six term test) = -12.51 TOP MAIN SOLVE Loop x[1] = 0.7000000000000012 y[1] (analytic) = -17.11499772583412 y[1] (numeric) = -17.11499772583411 absolute error = 3.552713678800501e-15 relative error = 2.075789746345033e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1183 Order of pole (three term test) = -19.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000012 y[1] (analytic) = -17.10361446196586 y[1] (numeric) = -17.10361446196586 absolute error = 3.552713678800501e-15 relative error = 2.077171282538461e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09266 Order of pole (three term test) = -16.37 Radius of convergence (six term test) for eq 1 = 0.3928 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = 0.7200000000000012 y[1] (analytic) = -17.09222596918442 y[1] (numeric) = -17.09222596918441 absolute error = 3.552713678800501e-15 relative error = 2.078555294790562e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.573 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.05083 Order of pole (three term test) = 0.009808 Radius of convergence (six term test) for eq 1 = 4.161 Order of pole (six term test) = -19.22 TOP MAIN SOLVE Loop x[1] = 0.7300000000000012 y[1] (analytic) = -17.08083224663359 y[1] (numeric) = -17.08083224663358 absolute error = 7.105427357601002e-15 relative error = 4.15988357885863e-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 = 0.5189 Order of pole (six term test) = -12.18 TOP MAIN SOLVE Loop x[1] = 0.7400000000000012 y[1] (analytic) = -17.06943329345711 y[1] (numeric) = -17.06943329345711 absolute error = 3.552713678800501e-15 relative error = 2.081330772804445e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02002 Order of pole (three term test) = -34.76 Radius of convergence (six term test) for eq 1 = 1.797 Order of pole (six term test) = -15.9 TOP MAIN SOLVE Loop x[1] = 0.7500000000000012 y[1] (analytic) = -17.05802910879864 y[1] (numeric) = -17.05802910879864 absolute error = 3.552713678800501e-15 relative error = 2.082722251287511e-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 = 1.25 Order of pole (six term test) = -14.94 TOP MAIN SOLVE Loop x[1] = 0.7600000000000012 y[1] (analytic) = -17.04661969180175 y[1] (numeric) = -17.04661969180174 absolute error = 7.105427357601002e-15 relative error = 4.168232462544009e-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 = 0.3191 Order of pole (six term test) = -11.84 TOP MAIN SOLVE Loop x[1] = 0.7700000000000012 y[1] (analytic) = -17.03520504160991 y[1] (numeric) = -17.03520504160991 absolute error = 7.105427357601002e-15 relative error = 4.171025438346883e-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] = 0.7800000000000012 y[1] (analytic) = -17.02378515736653 y[1] (numeric) = -17.02378515736652 absolute error = 1.06581410364015e-14 relative error = 6.260735164288369e-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 = 0.4468 Order of pole (six term test) = -12.22 TOP MAIN SOLVE Loop x[1] = 0.7900000000000013 y[1] (analytic) = -17.0123600382149 y[1] (numeric) = -17.01236003821489 absolute error = 1.06581410364015e-14 relative error = 6.264939733499699e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1957 Order of pole (three term test) = -40.55 Radius of convergence (six term test) for eq 1 = 0.9758 Order of pole (six term test) = -12.32 TOP MAIN SOLVE Loop x[1] = 0.8000000000000013 y[1] (analytic) = -17.00092968329827 y[1] (numeric) = -17.00092968329826 absolute error = 1.06581410364015e-14 relative error = 6.2691518846008e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1097 Order of pole (three term test) = 9.757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000013 y[1] (analytic) = -16.98949409175976 y[1] (numeric) = -16.98949409175976 absolute error = 7.105427357601002e-15 relative error = 4.182247758070249e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0846 Order of pole (three term test) = -8.556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000013 y[1] (analytic) = -16.97805326274245 y[1] (numeric) = -16.97805326274244 absolute error = 7.105427357601002e-15 relative error = 4.185066007063091e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01531 Order of pole (three term test) = -1.244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000013 y[1] (analytic) = -16.96660719538929 y[1] (numeric) = -16.96660719538928 absolute error = 7.105427357601002e-15 relative error = 4.187889349811739e-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) = -16.95515588884317 y[1] (numeric) = -16.95515588884316 absolute error = 7.105427357601002e-15 relative error = 4.190717799460938e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0118 Order of pole (three term test) = -22.16 Radius of convergence (six term test) for eq 1 = 0.4559 Order of pole (six term test) = -11.24 TOP MAIN SOLVE Loop x[1] = 0.8500000000000013 y[1] (analytic) = -16.9436993422469 y[1] (numeric) = -16.94369934224689 absolute error = 7.105427357601002e-15 relative error = 4.193551369201027e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.301 Order of pole (three term test) = -16.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000013 y[1] (analytic) = -16.93223755474319 y[1] (numeric) = -16.93223755474318 absolute error = 7.105427357601002e-15 relative error = 4.196390072268136e-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] = 0.8700000000000013 y[1] (analytic) = -16.92077052547467 y[1] (numeric) = -16.92077052547467 absolute error = 3.552713678800501e-15 relative error = 2.099616960972194e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04644 Order of pole (three term test) = -26.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000013 y[1] (analytic) = -16.90929825358389 y[1] (numeric) = -16.90929825358389 absolute error = 7.105427357601002e-15 relative error = 4.202082931558097e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07578 Order of pole (three term test) = -31.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000013 y[1] (analytic) = -16.89782073821332 y[1] (numeric) = -16.89782073821331 absolute error = 7.105427357601002e-15 relative error = 4.204937114483966e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06656 Order of pole (three term test) = -18.6 Radius of convergence (six term test) for eq 1 = 0.3685 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 0.9000000000000014 y[1] (analytic) = -16.88633797850531 y[1] (numeric) = -16.88633797850531 absolute error = 3.552713678800501e-15 relative error = 2.103898242071647e-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] = 0.9100000000000014 y[1] (analytic) = -16.87484997360217 y[1] (numeric) = -16.87484997360217 absolute error = 3.552713678800501e-15 relative error = 2.105330527002086e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2393 Order of pole (three term test) = -89.21 Radius of convergence (six term test) for eq 1 = 0.4554 Order of pole (six term test) = -12.05 TOP MAIN SOLVE Loop x[1] = 0.9200000000000014 y[1] (analytic) = -16.86335672264611 y[1] (numeric) = -16.86335672264611 absolute error = 3.552713678800501e-15 relative error = 2.106765418790849e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.29 Order of pole (three term test) = -23.02 Radius of convergence (six term test) for eq 1 = 0.587 Order of pole (six term test) = -13.04 TOP MAIN SOLVE Loop x[1] = 0.9300000000000014 y[1] (analytic) = -16.85185822477924 y[1] (numeric) = -16.85185822477924 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 = 0.03666 Order of pole (three term test) = -24.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000014 y[1] (analytic) = -16.84035447914359 y[1] (numeric) = -16.84035447914359 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 = 0.1027 Order of pole (three term test) = -30.11 Radius of convergence (six term test) for eq 1 = 1.061 Order of pole (six term test) = -11.09 TOP MAIN SOLVE Loop x[1] = 0.9500000000000014 y[1] (analytic) = -16.82884548488113 y[1] (numeric) = -16.82884548488113 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 = 0.04349 Order of pole (three term test) = -12.52 Radius of convergence (six term test) for eq 1 = 0.4708 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = 0.9600000000000014 y[1] (analytic) = -16.81733124113371 y[1] (numeric) = -16.81733124113371 absolute error = 3.552713678800501e-15 relative error = 2.112531190508323e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002564 Order of pole (three term test) = -25.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000014 y[1] (analytic) = -16.80581174704312 y[1] (numeric) = -16.80581174704311 absolute error = 3.552713678800501e-15 relative error = 2.11397921878161e-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] = 0.9800000000000014 y[1] (analytic) = -16.79428700175104 y[1] (numeric) = -16.79428700175104 absolute error = 3.552713678800501e-15 relative error = 2.11542989495778e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9003 Order of pole (three term test) = -89.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000014 y[1] (analytic) = -16.7827570043991 y[1] (numeric) = -16.78275700439909 absolute error = 3.552713678800501e-15 relative error = 2.116883225961779e-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] = 1.000000000000001 y[1] (analytic) = -16.77122175412881 y[1] (numeric) = -16.77122175412881 absolute error = 3.552713678800501e-15 relative error = 2.118339218742891e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4696 Order of pole (three term test) = -95.21 Radius of convergence (six term test) for eq 1 = 0.3668 Order of pole (six term test) = -12.04 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = -16.75968125008161 y[1] (numeric) = -16.75968125008161 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4182 Order of pole (six term test) = -10.78 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = -16.74813549139887 y[1] (numeric) = -16.74813549139887 absolute error = 3.552713678800501e-15 relative error = 2.121259217555902e-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 = 0.5353 Order of pole (six term test) = -11.63 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = -16.73658447722185 y[1] (numeric) = -16.73658447722185 absolute error = 3.552713678800501e-15 relative error = 2.122723237609007e-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] = 1.040000000000001 y[1] (analytic) = -16.72502820669173 y[1] (numeric) = -16.72502820669173 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 = 0.1842 Order of pole (three term test) = -5.165 Radius of convergence (six term test) for eq 1 = 2.377 Order of pole (six term test) = -13.41 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = -16.71346667894962 y[1] (numeric) = -16.71346667894961 absolute error = 3.552713678800501e-15 relative error = 2.125659354247013e-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] = 1.060000000000001 y[1] (analytic) = -16.70189989313652 y[1] (numeric) = -16.70189989313651 absolute error = 3.552713678800501e-15 relative error = 2.127131465002047e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.005341 Order of pole (three term test) = -24.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = -16.69032784839336 y[1] (numeric) = -16.69032784839336 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = -16.678750543861 y[1] (numeric) = -16.678750543861 absolute error = 3.552713678800501e-15 relative error = 2.130083826997556e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1623 Order of pole (three term test) = -16.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = -16.66716797868019 y[1] (numeric) = -16.66716797868019 absolute error = 3.552713678800501e-15 relative error = 2.131564092559069e-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 = 0.7636 Order of pole (six term test) = -12.01 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = -16.6555801519916 y[1] (numeric) = -16.6555801519916 absolute error = 3.552713678800501e-15 relative error = 2.133047090752755e-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] = 1.110000000000001 y[1] (analytic) = -16.64398706293582 y[1] (numeric) = -16.64398706293582 absolute error = 3.552713678800501e-15 relative error = 2.134532828802764e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.049 Order of pole (three term test) = 10.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = -16.63238871065336 y[1] (numeric) = -16.63238871065335 absolute error = 3.552713678800501e-15 relative error = 2.136021313958903e-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 = 0.7217 Order of pole (six term test) = -11.52 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = -16.62078509428462 y[1] (numeric) = -16.62078509428462 absolute error = 3.552713678800501e-15 relative error = 2.137512553496748e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1261 Order of pole (three term test) = 7.141 Radius of convergence (six term test) for eq 1 = 1.666 Order of pole (six term test) = -13.63 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = -16.60917621296996 y[1] (numeric) = -16.60917621296995 absolute error = 7.105427357601002e-15 relative error = 4.278013109435516e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0233 Order of pole (three term test) = -13.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = -16.59756206584959 y[1] (numeric) = -16.59756206584959 absolute error = 3.552713678800501e-15 relative error = 2.140503324949395e-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 = 0.9528 Order of pole (six term test) = -10.85 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = -16.58594265206371 y[1] (numeric) = -16.58594265206371 absolute error = 3.552713678800501e-15 relative error = 2.142002871545232e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2932 Order of pole (three term test) = -34.15 Radius of convergence (six term test) for eq 1 = 0.7463 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = -16.57431797075238 y[1] (numeric) = -16.57431797075238 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = -16.56268802105559 y[1] (numeric) = -16.56268802105559 absolute error = 7.105427357601002e-15 relative error = 4.290020646750158e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08883 Order of pole (three term test) = -8.047 Radius of convergence (six term test) for eq 1 = 0.9091 Order of pole (six term test) = -11.77 TOP MAIN SOLVE Loop x[1] = 1.190000000000002 y[1] (analytic) = -16.55105280211325 y[1] (numeric) = -16.55105280211324 absolute error = 7.105427357601002e-15 relative error = 4.293036486895731e-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 = 0.6252 Order of pole (six term test) = -12.04 TOP MAIN SOLVE Loop x[1] = 1.200000000000002 y[1] (analytic) = -16.53941231306518 y[1] (numeric) = -16.53941231306517 absolute error = 3.552713678800501e-15 relative error = 2.148028969562639e-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 = 1.835 Order of pole (six term test) = -22.75 TOP MAIN SOLVE Loop x[1] = 1.210000000000002 y[1] (analytic) = -16.52776655305112 y[1] (numeric) = -16.52776655305111 absolute error = 3.552713678800501e-15 relative error = 2.149542509205305e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04189 Order of pole (three term test) = -3.383 Radius of convergence (six term test) for eq 1 = 0.677 Order of pole (six term test) = -10.35 TOP MAIN SOLVE Loop x[1] = 1.220000000000002 y[1] (analytic) = -16.51611552121071 y[1] (numeric) = -16.51611552121071 absolute error = 3.552713678800501e-15 relative error = 2.151058869888596e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1636 Order of pole (three term test) = -24.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000002 y[1] (analytic) = -16.50445921668353 y[1] (numeric) = -16.50445921668353 absolute error = 3.552713678800501e-15 relative error = 2.152578059152184e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 111.3 Order of pole (three term test) = 1.074e+04 Radius of convergence (six term test) for eq 1 = 0.3269 Order of pole (six term test) = -13.41 TOP MAIN SOLVE Loop x[1] = 1.240000000000002 y[1] (analytic) = -16.49279763860905 y[1] (numeric) = -16.49279763860905 absolute error = 3.552713678800501e-15 relative error = 2.154100084562806e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003973 Order of pole (three term test) = -0.8567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000002 y[1] (analytic) = -16.48113078612667 y[1] (numeric) = -16.48113078612667 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4553 Order of pole (six term test) = -11.77 TOP MAIN SOLVE Loop x[1] = 1.260000000000002 y[1] (analytic) = -16.4694586583757 y[1] (numeric) = -16.46945865837569 absolute error = 3.552713678800501e-15 relative error = 2.157152674228145e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1021 Order of pole (three term test) = -27.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000002 y[1] (analytic) = -16.45778125449536 y[1] (numeric) = -16.45778125449535 absolute error = 7.105427357601002e-15 relative error = 4.317366507505494e-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 = 0.4642 Order of pole (six term test) = -11.72 TOP MAIN SOLVE Loop x[1] = 1.280000000000002 y[1] (analytic) = -16.44609857362478 y[1] (numeric) = -16.44609857362478 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8408 Order of pole (six term test) = -11.48 TOP MAIN SOLVE Loop x[1] = 1.290000000000002 y[1] (analytic) = -16.43441061490304 y[1] (numeric) = -16.43441061490304 absolute error = 3.552713678800501e-15 relative error = 2.161753020566999e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06033 Order of pole (three term test) = -14.83 Radius of convergence (six term test) for eq 1 = 0.5306 Order of pole (six term test) = -11.8 TOP MAIN SOLVE Loop x[1] = 1.300000000000002 y[1] (analytic) = -16.42271737746909 y[1] (numeric) = -16.42271737746909 absolute error = 3.552713678800501e-15 relative error = 2.163292223292227e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1149 Order of pole (three term test) = -20.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000002 y[1] (analytic) = -16.41101886046182 y[1] (numeric) = -16.41101886046182 absolute error = 3.552713678800501e-15 relative error = 2.164834315899704e-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] = 1.320000000000002 y[1] (analytic) = -16.39931506302003 y[1] (numeric) = -16.39931506302002 absolute error = 3.552713678800501e-15 relative error = 2.166379306177101e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05068 Order of pole (three term test) = 2.042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000002 y[1] (analytic) = -16.38760598428242 y[1] (numeric) = -16.38760598428241 absolute error = 3.552713678800501e-15 relative error = 2.16792720194027e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5535 Order of pole (three term test) = -106.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000002 y[1] (analytic) = -16.37589162338762 y[1] (numeric) = -16.37589162338762 absolute error = 3.552713678800501e-15 relative error = 2.16947801103337e-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] = 1.350000000000002 y[1] (analytic) = -16.36417197947419 y[1] (numeric) = -16.36417197947418 absolute error = 3.552713678800501e-15 relative error = 2.171031741328996e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02424 Order of pole (three term test) = -1.529 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000002 y[1] (analytic) = -16.35244705168056 y[1] (numeric) = -16.35244705168056 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 = 0.07623 Order of pole (three term test) = -13.36 Radius of convergence (six term test) for eq 1 = 0.5548 Order of pole (six term test) = -11.66 TOP MAIN SOLVE Loop x[1] = 1.370000000000002 y[1] (analytic) = -16.34071683914512 y[1] (numeric) = -16.34071683914512 absolute error = 3.552713678800501e-15 relative error = 2.17414799716116e-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 = 1.017 Order of pole (six term test) = -10.94 TOP MAIN SOLVE Loop x[1] = 1.380000000000002 y[1] (analytic) = -16.32898134100616 y[1] (numeric) = -16.32898134100615 absolute error = 3.552713678800501e-15 relative error = 2.17571053858623e-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 = 0.7611 Order of pole (six term test) = -10.8 TOP MAIN SOLVE Loop x[1] = 1.390000000000002 y[1] (analytic) = -16.31724055640186 y[1] (numeric) = -16.31724055640186 absolute error = 3.552713678800501e-15 relative error = 2.177276032991154e-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 = 1.172 Order of pole (six term test) = -13.32 TOP MAIN SOLVE Loop x[1] = 1.400000000000002 y[1] (analytic) = -16.30549448447034 y[1] (numeric) = -16.30549448447034 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 = 0.0568 Order of pole (three term test) = -22.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000002 y[1] (analytic) = -16.29374312434965 y[1] (numeric) = -16.29374312434965 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4957 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 1.420000000000002 y[1] (analytic) = -16.28198647517772 y[1] (numeric) = -16.28198647517771 absolute error = 3.552713678800501e-15 relative error = 2.181990314398491e-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 = 0.9689 Order of pole (six term test) = -12.32 TOP MAIN SOLVE Loop x[1] = 1.430000000000002 y[1] (analytic) = -16.27022453609241 y[1] (numeric) = -16.2702245360924 absolute error = 7.105427357601002e-15 relative error = 4.367135402365812e-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] = 1.440000000000002 y[1] (analytic) = -16.25845730623148 y[1] (numeric) = -16.25845730623148 absolute error = 3.552713678800501e-15 relative error = 2.185148081324315e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01422 Order of pole (three term test) = -0.5256 Radius of convergence (six term test) for eq 1 = 0.6489 Order of pole (six term test) = -13.54 TOP MAIN SOLVE Loop x[1] = 1.450000000000002 y[1] (analytic) = -16.24668478473264 y[1] (numeric) = -16.24668478473264 absolute error = 7.105427357601002e-15 relative error = 4.373462925973749e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04611 Order of pole (three term test) = -25.22 Radius of convergence (six term test) for eq 1 = 0.4959 Order of pole (six term test) = -12.44 TOP MAIN SOLVE Loop x[1] = 1.460000000000002 y[1] (analytic) = -16.23490697073348 y[1] (numeric) = -16.23490697073348 absolute error = 3.552713678800501e-15 relative error = 2.188317854364639e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0792 Order of pole (three term test) = -26.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000002 y[1] (analytic) = -16.22312386337153 y[1] (numeric) = -16.22312386337153 absolute error = 3.552713678800501e-15 relative error = 2.189907263681686e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03733 Order of pole (three term test) = -1.689 Radius of convergence (six term test) for eq 1 = 0.6701 Order of pole (six term test) = -12.58 TOP MAIN SOLVE Loop x[1] = 1.480000000000002 y[1] (analytic) = -16.21133546178421 y[1] (numeric) = -16.21133546178421 absolute error = 7.105427357601002e-15 relative error = 4.382999398384531e-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 = 1.264 Order of pole (six term test) = -11.86 TOP MAIN SOLVE Loop x[1] = 1.490000000000002 y[1] (analytic) = -16.19954176510887 y[1] (numeric) = -16.19954176510887 absolute error = 7.105427357601002e-15 relative error = 4.386190338361863e-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] = 1.500000000000002 y[1] (analytic) = -16.18774277248277 y[1] (numeric) = -16.18774277248277 absolute error = 3.552713678800501e-15 relative error = 2.194693681962682e-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 = 1.635 Order of pole (six term test) = -12.45 TOP MAIN SOLVE Loop x[1] = 1.510000000000002 y[1] (analytic) = -16.17593848304309 y[1] (numeric) = -16.17593848304309 absolute error = 7.105427357601002e-15 relative error = 4.392590491766197e-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 = 1.208 Order of pole (six term test) = -10.76 TOP MAIN SOLVE Loop x[1] = 1.520000000000002 y[1] (analytic) = -16.16412889592692 y[1] (numeric) = -16.16412889592691 absolute error = 7.105427357601002e-15 relative error = 4.39579973863698e-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 = 0.7207 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 1.530000000000002 y[1] (analytic) = -16.15231401027126 y[1] (numeric) = -16.15231401027125 absolute error = 7.105427357601002e-15 relative error = 4.39901512135206e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01477 Order of pole (three term test) = -1.492 Radius of convergence (six term test) for eq 1 = 0.6673 Order of pole (six term test) = -11.43 TOP MAIN SOLVE Loop x[1] = 1.540000000000002 y[1] (analytic) = -16.14049382521303 y[1] (numeric) = -16.14049382521303 absolute error = 3.552713678800501e-15 relative error = 2.201118328393902e-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] = 1.550000000000002 y[1] (analytic) = -16.12866833988907 y[1] (numeric) = -16.12866833988907 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 = 0.09321 Order of pole (three term test) = 14.52 Radius of convergence (six term test) for eq 1 = 0.5988 Order of pole (six term test) = -3.445 TOP MAIN SOLVE Loop x[1] = 1.560000000000002 y[1] (analytic) = -16.11683755343612 y[1] (numeric) = -16.11683755343612 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000002 y[1] (analytic) = -16.10500146499085 y[1] (numeric) = -16.10500146499085 absolute error = 3.552713678800501e-15 relative error = 2.205969174559475e-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] = 1.580000000000002 y[1] (analytic) = -16.09316007368984 y[1] (numeric) = -16.09316007368983 absolute error = 3.552713678800501e-15 relative error = 2.207592332725698e-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] = 1.590000000000002 y[1] (analytic) = -16.08131337866957 y[1] (numeric) = -16.08131337866957 absolute error = 3.552713678800501e-15 relative error = 2.209218609913329e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1242 Order of pole (three term test) = -15.49 Radius of convergence (six term test) for eq 1 = 0.3442 Order of pole (six term test) = -12.1 TOP MAIN SOLVE Loop x[1] = 1.600000000000002 y[1] (analytic) = -16.06946137906645 y[1] (numeric) = -16.06946137906645 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 = 0.02463 Order of pole (three term test) = 0.8317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000002 y[1] (analytic) = -16.05760407401682 y[1] (numeric) = -16.05760407401682 absolute error = 3.552713678800501e-15 relative error = 2.212480555893908e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02684 Order of pole (three term test) = -19.36 Radius of convergence (six term test) for eq 1 = 0.7468 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = 1.620000000000002 y[1] (analytic) = -16.04574146265689 y[1] (numeric) = -16.04574146265689 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 = 0.07055 Order of pole (three term test) = -2.685 Radius of convergence (six term test) for eq 1 = 1.111 Order of pole (six term test) = -12 TOP MAIN SOLVE Loop x[1] = 1.630000000000002 y[1] (analytic) = -16.03387354412282 y[1] (numeric) = -16.03387354412282 absolute error = 3.552713678800501e-15 relative error = 2.215755081904547e-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 = 0.8853 Order of pole (six term test) = -13.17 TOP MAIN SOLVE Loop x[1] = 1.640000000000002 y[1] (analytic) = -16.02200031755068 y[1] (numeric) = -16.02200031755068 absolute error = 3.552713678800501e-15 relative error = 2.217397084250971e-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 = 0.1983 Order of pole (six term test) = -12.04 TOP MAIN SOLVE Loop x[1] = 1.650000000000002 y[1] (analytic) = -16.01012178207644 y[1] (numeric) = -16.01012178207644 absolute error = 3.552713678800501e-15 relative error = 2.21904225786578e-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] = 1.660000000000002 y[1] (analytic) = -15.998237936836 y[1] (numeric) = -15.998237936836 absolute error = 3.552713678800501e-15 relative error = 2.220690611570643e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.007749 Order of pole (three term test) = -24.71 Radius of convergence (six term test) for eq 1 = 0.4469 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 1.670000000000002 y[1] (analytic) = -15.98634878096517 y[1] (numeric) = -15.98634878096516 absolute error = 1.77635683940025e-15 relative error = 1.111171077110082e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06602 Order of pole (three term test) = -26.3 Radius of convergence (six term test) for eq 1 = 0.5296 Order of pole (six term test) = -12.11 TOP MAIN SOLVE Loop x[1] = 1.680000000000002 y[1] (analytic) = -15.97445431359967 y[1] (numeric) = -15.97445431359966 absolute error = 7.105427357601002e-15 relative error = 4.447993789404048e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1693 Order of pole (three term test) = 6.634 Radius of convergence (six term test) for eq 1 = 0.7269 Order of pole (six term test) = -12.53 TOP MAIN SOLVE Loop x[1] = 1.690000000000002 y[1] (analytic) = -15.96255453387512 y[1] (numeric) = -15.96255453387512 absolute error = 7.105427357601002e-15 relative error = 4.451309683874304e-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 = 0.2608 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 1.700000000000002 y[1] (analytic) = -15.9506494409271 y[1] (numeric) = -15.95064944092709 absolute error = 7.105427357601002e-15 relative error = 4.454632009759731e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01802 Order of pole (three term test) = -23.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000002 y[1] (analytic) = -15.93873903389106 y[1] (numeric) = -15.93873903389105 absolute error = 3.552713678800501e-15 relative error = 2.228980392518035e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02337 Order of pole (three term test) = -28.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000002 y[1] (analytic) = -15.92682331190238 y[1] (numeric) = -15.92682331190238 absolute error = 7.105427357601002e-15 relative error = 4.461296027746472e-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 = 0.8951 Order of pole (six term test) = -11.7 TOP MAIN SOLVE Loop x[1] = 1.730000000000002 y[1] (analytic) = -15.91490227409636 y[1] (numeric) = -15.91490227409636 absolute error = 5.329070518200751e-15 relative error = 3.348478317001373e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.000919 Order of pole (three term test) = -23.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000002 y[1] (analytic) = -15.90297591960821 y[1] (numeric) = -15.90297591960821 absolute error = 7.105427357601002e-15 relative error = 4.467985987981079e-14 % Correct digits = 16 h = 0.01 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) = -20.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000002 y[1] (analytic) = -15.89104424757305 y[1] (numeric) = -15.89104424757304 absolute error = 8.881784197001252e-15 relative error = 5.589175927414409e-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] = 1.760000000000002 y[1] (analytic) = -15.87910725712591 y[1] (numeric) = -15.87910725712591 absolute error = 3.552713678800501e-15 relative error = 2.237351018084586e-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 = 1.145 Order of pole (six term test) = -11.4 TOP MAIN SOLVE Loop x[1] = 1.770000000000002 y[1] (analytic) = -15.86716494740177 y[1] (numeric) = -15.86716494740176 absolute error = 8.881784197001252e-15 relative error = 5.59758736134878e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.11 Order of pole (three term test) = -352.9 Radius of convergence (six term test) for eq 1 = 2.974 Order of pole (six term test) = -16.66 TOP MAIN SOLVE Loop x[1] = 1.780000000000002 y[1] (analytic) = -15.85521731753546 y[1] (numeric) = -15.85521731753546 absolute error = 3.552713678800501e-15 relative error = 2.24072215955772e-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) = -11.69 TOP MAIN SOLVE Loop x[1] = 1.790000000000002 y[1] (analytic) = -15.84326436666179 y[1] (numeric) = -15.84326436666178 absolute error = 8.881784197001252e-15 relative error = 5.606031681003038e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02969 Order of pole (three term test) = -17.47 Radius of convergence (six term test) for eq 1 = 1.088 Order of pole (six term test) = -11.4 TOP MAIN SOLVE Loop x[1] = 1.800000000000002 y[1] (analytic) = -15.83130609391544 y[1] (numeric) = -15.83130609391543 absolute error = 7.105427357601002e-15 relative error = 4.488212984734016e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08578 Order of pole (three term test) = -8.638 Radius of convergence (six term test) for eq 1 = 0.4824 Order of pole (six term test) = -11.48 TOP MAIN SOLVE Loop x[1] = 1.810000000000002 y[1] (analytic) = -15.81934249843102 y[1] (numeric) = -15.81934249843101 absolute error = 7.105427357601002e-15 relative error = 4.491607257574533e-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] = 1.820000000000002 y[1] (analytic) = -15.80737357934306 y[1] (numeric) = -15.80737357934306 absolute error = 3.552713678800501e-15 relative error = 2.247504091029491e-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] = 1.830000000000002 y[1] (analytic) = -15.795399335786 y[1] (numeric) = -15.795399335786 absolute error = 7.105427357601002e-15 relative error = 4.498415776993349e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.007497 Order of pole (three term test) = -1.367 Radius of convergence (six term test) for eq 1 = 0.3002 Order of pole (six term test) = -11.19 TOP MAIN SOLVE Loop x[1] = 1.840000000000002 y[1] (analytic) = -15.7834197668942 y[1] (numeric) = -15.78341976689419 absolute error = 7.105427357601002e-15 relative error = 4.501830061254957e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08307 Order of pole (three term test) = -37.85 Radius of convergence (six term test) for eq 1 = 0.1489 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = 1.850000000000002 y[1] (analytic) = -15.77143487180191 y[1] (numeric) = -15.7714348718019 absolute error = 7.105427357601002e-15 relative error = 4.505251053792797e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.349 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.06132 Order of pole (three term test) = 10.12 Radius of convergence (six term test) for eq 1 = 0.4322 Order of pole (six term test) = -12.15 TOP MAIN SOLVE Loop x[1] = 1.860000000000002 y[1] (analytic) = -15.75944464964332 y[1] (numeric) = -15.75944464964331 absolute error = 5.329070518200751e-15 relative error = 3.381509080220897e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04647 Order of pole (three term test) = -26.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000002 y[1] (analytic) = -15.74744909955253 y[1] (numeric) = -15.74744909955252 absolute error = 7.105427357601002e-15 relative error = 4.512113239853498e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.726 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 = 0.5685 Order of pole (six term test) = -11.94 TOP MAIN SOLVE Loop x[1] = 1.880000000000002 y[1] (analytic) = -15.73544822066354 y[1] (numeric) = -15.73544822066354 absolute error = 3.552713678800501e-15 relative error = 2.257777235817874e-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 = 1.009 Order of pole (six term test) = -10.73 TOP MAIN SOLVE Loop x[1] = 1.890000000000002 y[1] (analytic) = -15.72344201211029 y[1] (numeric) = -15.72344201211028 absolute error = 5.329070518200751e-15 relative error = 3.389251866160265e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1922 Order of pole (three term test) = -39.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000002 y[1] (analytic) = -15.71143047302661 y[1] (numeric) = -15.7114304730266 absolute error = 3.552713678800501e-15 relative error = 2.261228654449894e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2445 Order of pole (three term test) = -16.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000002 y[1] (analytic) = -15.69941360254625 y[1] (numeric) = -15.69941360254625 absolute error = 7.105427357601002e-15 relative error = 4.525918953080253e-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 = 0.9164 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 1.920000000000002 y[1] (analytic) = -15.68739139980289 y[1] (numeric) = -15.68739139980288 absolute error = 7.105427357601002e-15 relative error = 4.529387440215383e-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 = 0.2554 Order of pole (six term test) = -11.94 TOP MAIN SOLVE Loop x[1] = 1.930000000000002 y[1] (analytic) = -15.6753638639301 y[1] (numeric) = -15.67536386393009 absolute error = 5.329070518200751e-15 relative error = 3.399647092379939e-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 = 0.6918 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = -15.66333099406138 y[1] (numeric) = -15.66333099406137 absolute error = 3.552713678800501e-15 relative error = 2.2681725107817e-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] = 1.950000000000002 y[1] (analytic) = -15.65129278933014 y[1] (numeric) = -15.65129278933014 absolute error = 3.552713678800501e-15 relative error = 2.269917077535263e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1265 Order of pole (three term test) = -45.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = -15.63924924886971 y[1] (numeric) = -15.63924924886971 absolute error = 5.329070518200751e-15 relative error = 3.407497657591138e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1518 Order of pole (three term test) = 42.71 Radius of convergence (six term test) for eq 1 = 1.098 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = -15.62720037181333 y[1] (numeric) = -15.62720037181332 absolute error = 7.105427357601002e-15 relative error = 4.546833206552474e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1259 Order of pole (three term test) = 36.18 Radius of convergence (six term test) for eq 1 = 0.132 Order of pole (six term test) = -12.01 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = -15.61514615729415 y[1] (numeric) = -15.61514615729414 absolute error = 5.329070518200751e-15 relative error = 3.412757373206805e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.00145 Order of pole (three term test) = -25.03 Radius of convergence (six term test) for eq 1 = 1.227 Order of pole (six term test) = -10.47 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = -15.60308660444523 y[1] (numeric) = -15.60308660444523 absolute error = 3.552713678800501e-15 relative error = 2.276930051640137e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1804 Order of pole (three term test) = -24.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000002 y[1] (analytic) = -15.59102171239957 y[1] (numeric) = -15.59102171239956 absolute error = 3.552713678800501e-15 relative error = 2.278692021816006e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05477 Order of pole (three term test) = -14.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000002 y[1] (analytic) = -15.57895148029005 y[1] (numeric) = -15.57895148029005 absolute error = 5.329070518200751e-15 relative error = 3.42068625410568e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1214 Order of pole (three term test) = -11.29 Radius of convergence (six term test) for eq 1 = 0.6047 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = 2.020000000000002 y[1] (analytic) = -15.56687590724949 y[1] (numeric) = -15.56687590724949 absolute error = 7.105427357601002e-15 relative error = 4.564453009027974e-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 = 0.2249 Order of pole (six term test) = -11.98 TOP MAIN SOLVE Loop x[1] = 2.030000000000002 y[1] (analytic) = -15.55479499241062 y[1] (numeric) = -15.55479499241061 absolute error = 7.105427357601002e-15 relative error = 4.567998074592324e-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 = 1.44 Order of pole (six term test) = -12.35 TOP MAIN SOLVE Loop x[1] = 2.040000000000001 y[1] (analytic) = -15.54270873490606 y[1] (numeric) = -15.54270873490605 absolute error = 8.881784197001252e-15 relative error = 5.714437778181097e-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] = 2.050000000000001 y[1] (analytic) = -15.53061713386838 y[1] (numeric) = -15.53061713386837 absolute error = 1.06581410364015e-14 relative error = 6.862664210013115e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.754 Order of pole (three term test) = 246.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060000000000001 y[1] (analytic) = -15.51852018843004 y[1] (numeric) = -15.51852018843003 absolute error = 7.105427357601002e-15 relative error = 4.578675847519605e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1051 Order of pole (three term test) = 13.12 Radius of convergence (six term test) for eq 1 = 1.336 Order of pole (six term test) = -12.57 TOP MAIN SOLVE Loop x[1] = 2.070000000000001 y[1] (analytic) = -15.50641789772343 y[1] (numeric) = -15.50641789772342 absolute error = 7.105427357601002e-15 relative error = 4.582249365692759e-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] = 2.080000000000001 y[1] (analytic) = -15.49431026088084 y[1] (numeric) = -15.49431026088083 absolute error = 7.105427357601002e-15 relative error = 4.585830048556846e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1631 Order of pole (three term test) = -39.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = -15.48219727703448 y[1] (numeric) = -15.48219727703447 absolute error = 7.105427357601002e-15 relative error = 4.589417916887573e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2124 Order of pole (three term test) = -19.35 Radius of convergence (six term test) for eq 1 = 0.9279 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = -15.47007894531647 y[1] (numeric) = -15.47007894531646 absolute error = 8.881784197001252e-15 relative error = 5.74126623942678e-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 = 1.315 Order of pole (six term test) = -12.64 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = -15.45795526485886 y[1] (numeric) = -15.45795526485885 absolute error = 7.105427357601002e-15 relative error = 4.59661529345607e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2759 Order of pole (three term test) = -43.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = -15.4458262347936 y[1] (numeric) = -15.44582623479359 absolute error = 1.06581410364015e-14 relative error = 6.900337265476121e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09942 Order of pole (three term test) = -18.76 Radius of convergence (six term test) for eq 1 = 0.7995 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = -15.43369185425255 y[1] (numeric) = -15.43369185425255 absolute error = 8.881784197001252e-15 relative error = 5.754802079033339e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09371 Order of pole (three term test) = -14.7 Radius of convergence (six term test) for eq 1 = 2.822 Order of pole (six term test) = 0.6347 TOP MAIN SOLVE Loop x[1] = 2.139999999999999 y[1] (analytic) = -15.42155212236751 y[1] (numeric) = -15.42155212236749 absolute error = 1.4210854715202e-14 relative error = 9.214931546734843e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04357 Order of pole (three term test) = -1.766 Radius of convergence (six term test) for eq 1 = 1.254 Order of pole (six term test) = -12.11 TOP MAIN SOLVE Loop x[1] = 2.149999999999999 y[1] (analytic) = -15.40940703827015 y[1] (numeric) = -15.40940703827014 absolute error = 1.06581410364015e-14 relative error = 6.916645793009036e-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 = 2.843 Order of pole (six term test) = -10.91 TOP MAIN SOLVE Loop x[1] = 2.159999999999999 y[1] (analytic) = -15.39725660109209 y[1] (numeric) = -15.39725660109208 absolute error = 1.06581410364015e-14 relative error = 6.92210392573801e-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] = 2.169999999999999 y[1] (analytic) = -15.38510080996485 y[1] (numeric) = -15.38510080996484 absolute error = 8.881784197001252e-15 relative error = 5.772977575323111e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.845 Order of pole (three term test) = 953.8 Radius of convergence (six term test) for eq 1 = 1.753 Order of pole (six term test) = -10.15 TOP MAIN SOLVE Loop x[1] = 2.179999999999998 y[1] (analytic) = -15.37293966401989 y[1] (numeric) = -15.37293966401988 absolute error = 1.06581410364015e-14 relative error = 6.933053319233866e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04573 Order of pole (three term test) = -33.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999998 y[1] (analytic) = -15.36077316238853 y[1] (numeric) = -15.36077316238852 absolute error = 1.243449787580175e-14 relative error = 8.094968752125131e-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] = 2.199999999999998 y[1] (analytic) = -15.34860130420206 y[1] (numeric) = -15.34860130420205 absolute error = 1.243449787580175e-14 relative error = 8.101388282460304e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3877 Order of pole (three term test) = -21.44 Radius of convergence (six term test) for eq 1 = 4.154 Order of pole (six term test) = 5.235 TOP MAIN SOLVE Loop x[1] = 2.209999999999998 y[1] (analytic) = -15.33642408859165 y[1] (numeric) = -15.33642408859164 absolute error = 1.06581410364015e-14 relative error = 6.949560715610234e-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] = 2.219999999999998 y[1] (analytic) = -15.3242415146884 y[1] (numeric) = -15.32424151468839 absolute error = 1.06581410364015e-14 relative error = 6.955085526540152e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1184 Order of pole (three term test) = 8.178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999997 y[1] (analytic) = -15.31205358162332 y[1] (numeric) = -15.3120535816233 absolute error = 1.243449787580175e-14 relative error = 8.120725159115791e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08699 Order of pole (three term test) = -36.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999997 y[1] (analytic) = -15.29986028852732 y[1] (numeric) = -15.29986028852731 absolute error = 1.243449787580175e-14 relative error = 8.1271970078876e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4333 Order of pole (three term test) = -35.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999997 y[1] (analytic) = -15.28766163453125 y[1] (numeric) = -15.28766163453124 absolute error = 1.06581410364015e-14 relative error = 6.971727456557031e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06774 Order of pole (three term test) = -24.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999997 y[1] (analytic) = -15.27545761876586 y[1] (numeric) = -15.27545761876584 absolute error = 1.4210854715202e-14 relative error = 9.303063168296844e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1578 Order of pole (three term test) = 25.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = -15.2632482403618 y[1] (numeric) = -15.26324824036179 absolute error = 1.06581410364015e-14 relative error = 6.982878656338268e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0469 Order of pole (three term test) = -4.4 Radius of convergence (six term test) for eq 1 = 0.6355 Order of pole (six term test) = -11.86 TOP MAIN SOLVE Loop x[1] = 2.279999999999996 y[1] (analytic) = -15.25103349844967 y[1] (numeric) = -15.25103349844966 absolute error = 1.4210854715202e-14 relative error = 9.317961773965413e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07334 Order of pole (three term test) = -20.02 Radius of convergence (six term test) for eq 1 = 0.4689 Order of pole (six term test) = -11.92 TOP MAIN SOLVE Loop x[1] = 2.289999999999996 y[1] (analytic) = -15.23881339215995 y[1] (numeric) = -15.23881339215994 absolute error = 1.4210854715202e-14 relative error = 9.325433909777507e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1221 Order of pole (three term test) = -28.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999996 y[1] (analytic) = -15.22658792062306 y[1] (numeric) = -15.22658792062305 absolute error = 1.06581410364015e-14 relative error = 6.99969099575224e-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] = 2.309999999999996 y[1] (analytic) = -15.21435708296931 y[1] (numeric) = -15.2143570829693 absolute error = 1.06581410364015e-14 relative error = 7.005318054702452e-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 = 0.5484 Order of pole (six term test) = -10.68 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = -15.20212087832894 y[1] (numeric) = -15.20212087832893 absolute error = 1.243449787580175e-14 relative error = 8.179449417171447e-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 = 0.9342 Order of pole (six term test) = -10.88 TOP MAIN SOLVE Loop x[1] = 2.329999999999995 y[1] (analytic) = -15.1898793058321 y[1] (numeric) = -15.18987930583209 absolute error = 8.881784197001252e-15 relative error = 5.847172329796672e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3429 Order of pole (three term test) = -43.19 Radius of convergence (six term test) for eq 1 = 1.021 Order of pole (six term test) = -12.14 TOP MAIN SOLVE Loop x[1] = 2.339999999999995 y[1] (analytic) = -15.17763236460885 y[1] (numeric) = -15.17763236460884 absolute error = 1.243449787580175e-14 relative error = 8.19264663755888e-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] = 2.349999999999995 y[1] (analytic) = -15.16538005378917 y[1] (numeric) = -15.16538005378916 absolute error = 1.4210854715202e-14 relative error = 9.370589239965221e-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 = 1.197 Order of pole (six term test) = -11.96 TOP MAIN SOLVE Loop x[1] = 2.359999999999995 y[1] (analytic) = -15.15312237250296 y[1] (numeric) = -15.15312237250295 absolute error = 1.4210854715202e-14 relative error = 9.378169307857761e-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] = 2.369999999999994 y[1] (analytic) = -15.14085931988001 y[1] (numeric) = -15.14085931988 absolute error = 1.4210854715202e-14 relative error = 9.385764978704406e-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 = 0.6489 Order of pole (six term test) = -11.4 TOP MAIN SOLVE Loop x[1] = 2.379999999999994 y[1] (analytic) = -15.12859089505006 y[1] (numeric) = -15.12859089505004 absolute error = 1.4210854715202e-14 relative error = 9.393376299078634e-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] = 2.389999999999994 y[1] (analytic) = -15.11631709714272 y[1] (numeric) = -15.11631709714271 absolute error = 1.4210854715202e-14 relative error = 9.401003315740266e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03441 Order of pole (three term test) = -1.227 Radius of convergence (six term test) for eq 1 = 1.251 Order of pole (six term test) = -12.19 TOP MAIN SOLVE Loop x[1] = 2.399999999999994 y[1] (analytic) = -15.10403792528757 y[1] (numeric) = -15.10403792528755 absolute error = 1.77635683940025e-14 relative error = 1.176080759454549e-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 = 0.06941 Order of pole (three term test) = 2.749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = -15.09175337861403 y[1] (numeric) = -15.09175337861402 absolute error = 1.4210854715202e-14 relative error = 9.416304625902303e-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] = 2.419999999999993 y[1] (analytic) = -15.07946345625151 y[1] (numeric) = -15.0794634562515 absolute error = 1.4210854715202e-14 relative error = 9.423979013862453e-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 = 0.782 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 2.429999999999993 y[1] (analytic) = -15.0671681573293 y[1] (numeric) = -15.06716815732928 absolute error = 1.598721155460225e-14 relative error = 1.061062794791031e-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 = 0.06776 Order of pole (three term test) = 4.828 Radius of convergence (six term test) for eq 1 = 1.159 Order of pole (six term test) = -11.36 TOP MAIN SOLVE Loop x[1] = 2.439999999999993 y[1] (analytic) = -15.05486748097658 y[1] (numeric) = -15.05486748097656 absolute error = 1.4210854715202e-14 relative error = 9.439375493114721e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0402 Order of pole (three term test) = -3.083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999993 y[1] (analytic) = -15.04256142632248 y[1] (numeric) = -15.04256142632246 absolute error = 1.4210854715202e-14 relative error = 9.447097680010069e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05184 Order of pole (three term test) = -12.5 Radius of convergence (six term test) for eq 1 = 0.775 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = -15.03024999249604 y[1] (numeric) = -15.03024999249602 absolute error = 1.598721155460225e-14 relative error = 1.063669038278404e-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 = 1.137 Order of pole (six term test) = -12.14 TOP MAIN SOLVE Loop x[1] = 2.469999999999992 y[1] (analytic) = -15.0179331786262 y[1] (numeric) = -15.01793317862618 absolute error = 1.598721155460225e-14 relative error = 1.064541396239234e-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] = 2.479999999999992 y[1] (analytic) = -15.00561098384181 y[1] (numeric) = -15.0056109838418 absolute error = 1.77635683940025e-14 relative error = 1.183795075930629e-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] = 2.489999999999992 y[1] (analytic) = -14.99328340727167 y[1] (numeric) = -14.99328340727165 absolute error = 1.953992523340276e-14 relative error = 1.303245240060359e-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 = 0.1172 Order of pole (three term test) = -11.45 Radius of convergence (six term test) for eq 1 = 1.546 Order of pole (six term test) = -12.39 TOP MAIN SOLVE Loop x[1] = 2.499999999999992 y[1] (analytic) = -14.98095044804444 y[1] (numeric) = -14.98095044804442 absolute error = 1.953992523340276e-14 relative error = 1.304318127289008e-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] = 2.509999999999991 y[1] (analytic) = -14.96861210528873 y[1] (numeric) = -14.96861210528871 absolute error = 1.953992523340276e-14 relative error = 1.305393251956798e-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 = 0.05083 Order of pole (three term test) = -24.83 Radius of convergence (six term test) for eq 1 = 0.9595 Order of pole (six term test) = -11.23 TOP MAIN SOLVE Loop x[1] = 2.519999999999991 y[1] (analytic) = -14.95626837813307 y[1] (numeric) = -14.95626837813305 absolute error = 2.131628207280301e-14 relative error = 1.425240677278073e-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 = 0.0446 Order of pole (three term test) = 0.7739 Radius of convergence (six term test) for eq 1 = 0.5058 Order of pole (six term test) = -12.3 TOP MAIN SOLVE Loop x[1] = 2.529999999999991 y[1] (analytic) = -14.94391926570587 y[1] (numeric) = -14.94391926570585 absolute error = 1.77635683940025e-14 relative error = 1.1886820370321e-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 = 0.4329 Order of pole (three term test) = -40.67 Radius of convergence (six term test) for eq 1 = 0.8931 Order of pole (six term test) = -12.17 TOP MAIN SOLVE Loop x[1] = 2.539999999999991 y[1] (analytic) = -14.93156476713549 y[1] (numeric) = -14.93156476713547 absolute error = 1.77635683940025e-14 relative error = 1.189665562252409e-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 = 0.1958 Order of pole (three term test) = -34.53 Radius of convergence (six term test) for eq 1 = 3.517 Order of pole (six term test) = -31.45 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = -14.91920488155018 y[1] (numeric) = -14.91920488155016 absolute error = 1.953992523340276e-14 relative error = 1.309716260922644e-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 = 0.3672 Order of pole (three term test) = -38.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.55999999999999 y[1] (analytic) = -14.90683960807811 y[1] (numeric) = -14.9068396080781 absolute error = 1.598721155460225e-14 relative error = 1.072474915872757e-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 = 0.9638 Order of pole (three term test) = -194.5 Radius of convergence (six term test) for eq 1 = 1.1 Order of pole (six term test) = -12.22 TOP MAIN SOLVE Loop x[1] = 2.56999999999999 y[1] (analytic) = -14.89446894584738 y[1] (numeric) = -14.89446894584736 absolute error = 2.131628207280301e-14 relative error = 1.431154219079832e-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 = 0.1236 Order of pole (three term test) = -8.397 Radius of convergence (six term test) for eq 1 = 0.9081 Order of pole (six term test) = -11.23 TOP MAIN SOLVE Loop x[1] = 2.57999999999999 y[1] (analytic) = -14.88209289398596 y[1] (numeric) = -14.88209289398594 absolute error = 1.953992523340276e-14 relative error = 1.312982345466952e-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] = 2.58999999999999 y[1] (analytic) = -14.86971145162179 y[1] (numeric) = -14.86971145162178 absolute error = 1.77635683940025e-14 relative error = 1.194614196233451e-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 = 0.1396 Order of pole (three term test) = -32.83 Radius of convergence (six term test) for eq 1 = 0.5259 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = -14.85732461788269 y[1] (numeric) = -14.85732461788267 absolute error = 1.953992523340276e-14 relative error = 1.315171185657743e-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 = 0.01468 Order of pole (three term test) = -0.7595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999989 y[1] (analytic) = -14.8449323918964 y[1] (numeric) = -14.84493239189638 absolute error = 1.77635683940025e-14 relative error = 1.196608238087991e-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 = 1.587 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 2.619999999999989 y[1] (analytic) = -14.83253477279057 y[1] (numeric) = -14.83253477279055 absolute error = 1.953992523340276e-14 relative error = 1.317369251629709e-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 = 0.07901 Order of pole (three term test) = -23.4 Radius of convergence (six term test) for eq 1 = 0.6771 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = 2.629999999999989 y[1] (analytic) = -14.82013175969279 y[1] (numeric) = -14.82013175969276 absolute error = 2.486899575160351e-14 relative error = 1.678054969743334e-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 = 2.521 Order of pole (six term test) = -8.093 TOP MAIN SOLVE Loop x[1] = 2.639999999999989 y[1] (analytic) = -14.8077233517305 y[1] (numeric) = -14.80772335173048 absolute error = 1.77635683940025e-14 relative error = 1.199615090859093e-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] = 2.649999999999988 y[1] (analytic) = -14.79530954803114 y[1] (numeric) = -14.79530954803112 absolute error = 1.953992523340276e-14 relative error = 1.320683772784125e-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 = 0.3938 Order of pole (three term test) = -35.86 Radius of convergence (six term test) for eq 1 = 0.6414 Order of pole (six term test) = -12.35 TOP MAIN SOLVE Loop x[1] = 2.659999999999988 y[1] (analytic) = -14.78289034772201 y[1] (numeric) = -14.78289034772198 absolute error = 2.309263891220326e-14 relative error = 1.562119339927442e-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] = 2.669999999999988 y[1] (analytic) = -14.77046574993031 y[1] (numeric) = -14.77046574993029 absolute error = 1.953992523340276e-14 relative error = 1.322905151687241e-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] = 2.679999999999988 y[1] (analytic) = -14.75803575378321 y[1] (numeric) = -14.75803575378319 absolute error = 2.486899575160351e-14 relative error = 1.685115564598653e-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 = 0.2582 Order of pole (three term test) = -23.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999988 y[1] (analytic) = -14.74560035840775 y[1] (numeric) = -14.74560035840773 absolute error = 1.953992523340276e-14 relative error = 1.325135956384532e-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] = 2.699999999999987 y[1] (analytic) = -14.73315956293089 y[1] (numeric) = -14.73315956293087 absolute error = 2.131628207280301e-14 relative error = 1.446823539903516e-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 = 0.3418 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = 2.709999999999987 y[1] (analytic) = -14.72071336647952 y[1] (numeric) = -14.7207133664795 absolute error = 2.309263891220326e-14 relative error = 1.568717380557617e-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 = 0.7851 Order of pole (six term test) = -11.14 TOP MAIN SOLVE Loop x[1] = 2.719999999999987 y[1] (analytic) = -14.70826176818042 y[1] (numeric) = -14.7082617681804 absolute error = 2.309263891220326e-14 relative error = 1.570045412311157e-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] = 2.729999999999987 y[1] (analytic) = -14.69580476716032 y[1] (numeric) = -14.69580476716029 absolute error = 2.309263891220326e-14 relative error = 1.571376272213874e-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) = -3.14 Radius of convergence (six term test) for eq 1 = 1.249 Order of pole (six term test) = -12.67 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = -14.68334236254582 y[1] (numeric) = -14.68334236254579 absolute error = 2.486899575160351e-14 relative error = 1.693687658951493e-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] = 2.749999999999986 y[1] (analytic) = -14.67087455346346 y[1] (numeric) = -14.67087455346344 absolute error = 2.309263891220326e-14 relative error = 1.574046511545667e-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 = 1.264 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 2.759999999999986 y[1] (analytic) = -14.6584013390397 y[1] (numeric) = -14.65840133903967 absolute error = 2.309263891220326e-14 relative error = 1.575385908605236e-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 = 0.09882 Order of pole (three term test) = 3.527 Radius of convergence (six term test) for eq 1 = 2.881 Order of pole (six term test) = -10.47 TOP MAIN SOLVE Loop x[1] = 2.769999999999986 y[1] (analytic) = -14.64592271840089 y[1] (numeric) = -14.64592271840086 absolute error = 2.486899575160351e-14 relative error = 1.698014951311912e-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 = 0.4127 Order of pole (six term test) = -11.77 TOP MAIN SOLVE Loop x[1] = 2.779999999999986 y[1] (analytic) = -14.63343869067331 y[1] (numeric) = -14.63343869067329 absolute error = 2.486899575160351e-14 relative error = 1.699463555852656e-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 = 0.6892 Order of pole (three term test) = -116.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999985 y[1] (analytic) = -14.62094925498316 y[1] (numeric) = -14.62094925498313 absolute error = 2.842170943040401e-14 relative error = 1.943903158046816e-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 = 1.584 Order of pole (six term test) = -10.51 TOP MAIN SOLVE Loop x[1] = 2.799999999999985 y[1] (analytic) = -14.60845441045653 y[1] (numeric) = -14.6084544104565 absolute error = 2.664535259100376e-14 relative error = 1.823967946392151e-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 = 1.405 Order of pole (three term test) = -95.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999985 y[1] (analytic) = -14.59595415621944 y[1] (numeric) = -14.59595415621942 absolute error = 2.309263891220326e-14 relative error = 1.582126023762778e-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 = 0.03998 Order of pole (three term test) = -0.08376 Radius of convergence (six term test) for eq 1 = 1.873 Order of pole (six term test) = -14.1 TOP MAIN SOLVE Loop x[1] = 2.819999999999985 y[1] (analytic) = -14.58344849139783 y[1] (numeric) = -14.5834484913978 absolute error = 2.486899575160351e-14 relative error = 1.705289099918493e-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 = 0.7563 Order of pole (six term test) = -11.91 TOP MAIN SOLVE Loop x[1] = 2.829999999999985 y[1] (analytic) = -14.57093741511754 y[1] (numeric) = -14.57093741511751 absolute error = 2.486899575160351e-14 relative error = 1.706753316077084e-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 = 0.3879 Order of pole (three term test) = -55.06 Radius of convergence (six term test) for eq 1 = 0.5635 Order of pole (six term test) = -11.83 TOP MAIN SOLVE Loop x[1] = 2.839999999999984 y[1] (analytic) = -14.55842092650433 y[1] (numeric) = -14.5584209265043 absolute error = 2.842170943040401e-14 relative error = 1.952252210173486e-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 = 0.7531 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = 2.849999999999984 y[1] (analytic) = -14.54589902468388 y[1] (numeric) = -14.54589902468385 absolute error = 3.019806626980426e-14 relative error = 2.076053616112638e-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 = 0.6979 Order of pole (six term test) = -11.95 TOP MAIN SOLVE Loop x[1] = 2.859999999999984 y[1] (analytic) = -14.53337170878176 y[1] (numeric) = -14.53337170878173 absolute error = 2.486899575160351e-14 relative error = 1.711164914097427e-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 = 0.04599 Order of pole (three term test) = -27.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999984 y[1] (analytic) = -14.52083897792348 y[1] (numeric) = -14.52083897792346 absolute error = 2.664535259100376e-14 relative error = 1.834973353227976e-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 = 0.669 Order of pole (three term test) = -43.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = -14.50830083123446 y[1] (numeric) = -14.50830083123444 absolute error = 2.842170943040401e-14 relative error = 1.958996422876468e-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 = 0.1056 Order of pole (three term test) = -39.54 Radius of convergence (six term test) for eq 1 = 0.9396 Order of pole (six term test) = -12.28 TOP MAIN SOLVE Loop x[1] = 2.889999999999983 y[1] (analytic) = -14.49575726784003 y[1] (numeric) = -14.49575726784 absolute error = 2.664535259100376e-14 relative error = 1.838148369807389e-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 = 0.972 Order of pole (six term test) = -10.64 TOP MAIN SOLVE Loop x[1] = 2.899999999999983 y[1] (analytic) = -14.48320828686541 y[1] (numeric) = -14.48320828686538 absolute error = 2.842170943040401e-14 relative error = 1.962390436391031e-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 = 0.05836 Order of pole (three term test) = -23.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999983 y[1] (analytic) = -14.47065388743578 y[1] (numeric) = -14.47065388743575 absolute error = 2.842170943040401e-14 relative error = 1.964092960241507e-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 = 0.01434 Order of pole (three term test) = -25.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999983 y[1] (analytic) = -14.45809406867619 y[1] (numeric) = -14.45809406867616 absolute error = 2.842170943040401e-14 relative error = 1.965799177637135e-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 = 0.01908 Order of pole (three term test) = -25.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = -14.44552882971164 y[1] (numeric) = -14.44552882971161 absolute error = 2.664535259100376e-14 relative error = 1.844539781485844e-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 = 0.02069 Order of pole (three term test) = -23.72 Radius of convergence (six term test) for eq 1 = 0.6835 Order of pole (six term test) = -11.64 TOP MAIN SOLVE Loop x[1] = 2.939999999999982 y[1] (analytic) = -14.43295816966701 y[1] (numeric) = -14.43295816966699 absolute error = 2.664535259100376e-14 relative error = 1.846146318569875e-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] = 2.949999999999982 y[1] (analytic) = -14.42038208766713 y[1] (numeric) = -14.4203820876671 absolute error = 3.019806626980426e-14 relative error = 2.094123864833708e-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 = 0.06014 Order of pole (three term test) = 2.126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999982 y[1] (analytic) = -14.4078005828367 y[1] (numeric) = -14.40780058283667 absolute error = 2.664535259100376e-14 relative error = 1.849369890831571e-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 = 0.2165 Order of pole (three term test) = 13.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999982 y[1] (analytic) = -14.39521365430037 y[1] (numeric) = -14.39521365430035 absolute error = 2.664535259100376e-14 relative error = 1.850986948223851e-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 = 0.02818 Order of pole (three term test) = -24.79 Radius of convergence (six term test) for eq 1 = 1.099 Order of pole (six term test) = -12.33 TOP MAIN SOLVE Loop x[1] = 2.979999999999981 y[1] (analytic) = -14.3826213011827 y[1] (numeric) = -14.38262130118267 absolute error = 2.842170943040401e-14 relative error = 1.976114703657452e-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 = 0.1128 Order of pole (three term test) = -7.748 Radius of convergence (six term test) for eq 1 = 1.259 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 2.989999999999981 y[1] (analytic) = -14.37002352260814 y[1] (numeric) = -14.37002352260811 absolute error = 2.664535259100376e-14 relative error = 1.854231661422337e-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 = 0.0804 Order of pole (three term test) = -11.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999981 y[1] (analytic) = -14.35742031770107 y[1] (numeric) = -14.35742031770105 absolute error = 2.664535259100376e-14 relative error = 1.855859339727838e-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 = 1.349 Order of pole (three term test) = -227 Radius of convergence (six term test) for eq 1 = 0.8505 Order of pole (six term test) = -11.16 TOP MAIN SOLVE Loop x[1] = 3.009999999999981 y[1] (analytic) = -14.3448116855858 y[1] (numeric) = -14.34481168558577 absolute error = 3.019806626980426e-14 relative error = 2.105155991705935e-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 = 0.5445 Order of pole (three term test) = 55.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = -14.33219762538651 y[1] (numeric) = -14.33219762538648 absolute error = 3.197442310920451e-14 relative error = 2.230950475631766e-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] = 3.02999999999998 y[1] (analytic) = -14.31957813622734 y[1] (numeric) = -14.31957813622731 absolute error = 3.019806626980426e-14 relative error = 2.108865637138127e-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] = 3.03999999999998 y[1] (analytic) = -14.30695321723231 y[1] (numeric) = -14.30695321723228 absolute error = 3.019806626980426e-14 relative error = 2.110726568493393e-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 = 0.03624 Order of pole (three term test) = -1.352 Radius of convergence (six term test) for eq 1 = 0.9273 Order of pole (six term test) = -12.23 TOP MAIN SOLVE Loop x[1] = 3.04999999999998 y[1] (analytic) = -14.29432286752537 y[1] (numeric) = -14.29432286752534 absolute error = 3.197442310920451e-14 relative error = 2.236861683168341e-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] = 3.05999999999998 y[1] (analytic) = -14.28168708623038 y[1] (numeric) = -14.28168708623035 absolute error = 2.842170943040401e-14 relative error = 1.990080671758077e-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 = 0.3445 Order of pole (three term test) = 88.25 Radius of convergence (six term test) for eq 1 = 1.494 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = -14.26904587247112 y[1] (numeric) = -14.26904587247109 absolute error = 2.842170943040401e-14 relative error = 1.991843721326682e-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 = 0.243 Order of pole (three term test) = -28.38 Radius of convergence (six term test) for eq 1 = 0.4315 Order of pole (six term test) = -11.93 TOP MAIN SOLVE Loop x[1] = 3.079999999999979 y[1] (analytic) = -14.25639922537128 y[1] (numeric) = -14.25639922537125 absolute error = 3.197442310920451e-14 relative error = 2.24281198946095e-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] = 3.089999999999979 y[1] (analytic) = -14.24374714405445 y[1] (numeric) = -14.24374714405442 absolute error = 3.375077994860476e-14 relative error = 2.369515521952581e-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] = 3.099999999999979 y[1] (analytic) = -14.23108962764415 y[1] (numeric) = -14.23108962764411 absolute error = 3.197442310920451e-14 relative error = 2.246800768304742e-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 = 0.6506 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 3.109999999999979 y[1] (analytic) = -14.2184266752638 y[1] (numeric) = -14.21842667526377 absolute error = 3.375077994860476e-14 relative error = 2.373735204284025e-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 = 0.2306 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = 3.119999999999978 y[1] (analytic) = -14.20575828603676 y[1] (numeric) = -14.20575828603673 absolute error = 3.019806626980426e-14 relative error = 2.12576236071022e-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 = 1.523 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 3.129999999999978 y[1] (analytic) = -14.19308445908627 y[1] (numeric) = -14.19308445908624 absolute error = 3.019806626980426e-14 relative error = 2.127660577012332e-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 = 0.0382 Order of pole (three term test) = -25.36 Radius of convergence (six term test) for eq 1 = 0.3714 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 3.139999999999978 y[1] (analytic) = -14.18040519353551 y[1] (numeric) = -14.18040519353547 absolute error = 3.197442310920451e-14 relative error = 2.254831415098128e-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 = 1.007 Order of pole (six term test) = -12.77 TOP MAIN SOLVE Loop x[1] = 3.149999999999978 y[1] (analytic) = -14.16772048850755 y[1] (numeric) = -14.16772048850752 absolute error = 3.375077994860476e-14 relative error = 2.382230788360232e-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 = 0.09429 Order of pole (three term test) = -30.22 Radius of convergence (six term test) for eq 1 = 0.952 Order of pole (six term test) = -11.18 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = -14.1550303431254 y[1] (numeric) = -14.15503034312537 absolute error = 3.197442310920451e-14 relative error = 2.258873512392954e-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] = 3.169999999999977 y[1] (analytic) = -14.14233475651196 y[1] (numeric) = -14.14233475651193 absolute error = 3.552713678800501e-14 relative error = 2.512112561304365e-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 = 0.04396 Order of pole (three term test) = -27.33 Radius of convergence (six term test) for eq 1 = 1.252 Order of pole (six term test) = -11.69 TOP MAIN SOLVE Loop x[1] = 3.179999999999977 y[1] (analytic) = -14.12963372779006 y[1] (numeric) = -14.12963372779003 absolute error = 3.375077994860476e-14 relative error = 2.388652147594171e-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 = 0.07557 Order of pole (three term test) = -22.99 Radius of convergence (six term test) for eq 1 = 0.5308 Order of pole (six term test) = -11.53 TOP MAIN SOLVE Loop x[1] = 3.189999999999977 y[1] (analytic) = -14.11692725608243 y[1] (numeric) = -14.1169272560824 absolute error = 3.375077994860476e-14 relative error = 2.390802143863344e-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 = 0.05662 Order of pole (three term test) = -16.5 Radius of convergence (six term test) for eq 1 = 0.3776 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = 3.199999999999977 y[1] (analytic) = -14.10421534051173 y[1] (numeric) = -14.1042153405117 absolute error = 3.375077994860476e-14 relative error = 2.392956937608711e-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 = 0.8712 Order of pole (six term test) = -11.47 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = -14.09149798020052 y[1] (numeric) = -14.09149798020048 absolute error = 3.552713678800501e-14 relative error = 2.521175309958031e-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 = 0.6763 Order of pole (six term test) = -12.07 TOP MAIN SOLVE Loop x[1] = 3.219999999999976 y[1] (analytic) = -14.07877517427127 y[1] (numeric) = -14.07877517427123 absolute error = 3.375077994860476e-14 relative error = 2.39728098011564e-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 = 0.1553 Order of pole (three term test) = -18.41 Radius of convergence (six term test) for eq 1 = 1.298 Order of pole (six term test) = -12.06 TOP MAIN SOLVE Loop x[1] = 3.229999999999976 y[1] (analytic) = -14.06604692184638 y[1] (numeric) = -14.06604692184634 absolute error = 3.552713678800501e-14 relative error = 2.5257371161493e-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 = 0.02481 Order of pole (three term test) = -19.29 Radius of convergence (six term test) for eq 1 = 0.4737 Order of pole (six term test) = -12.18 TOP MAIN SOLVE Loop x[1] = 3.239999999999976 y[1] (analytic) = -14.05331322204815 y[1] (numeric) = -14.05331322204811 absolute error = 3.552713678800501e-14 relative error = 2.528025685236043e-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 = 1.993 Order of pole (six term test) = -11.85 TOP MAIN SOLVE Loop x[1] = 3.249999999999976 y[1] (analytic) = -14.0405740739988 y[1] (numeric) = -14.04057407399877 absolute error = 3.907985046680551e-14 relative error = 2.783351326009951e-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 = 0.403 Order of pole (three term test) = -14.07 Radius of convergence (six term test) for eq 1 = 1.28 Order of pole (six term test) = -11.68 TOP MAIN SOLVE Loop x[1] = 3.259999999999975 y[1] (analytic) = -14.02782947682046 y[1] (numeric) = -14.02782947682043 absolute error = 3.375077994860476e-14 relative error = 2.405987327146686e-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 = 0.08079 Order of pole (three term test) = -38.79 Radius of convergence (six term test) for eq 1 = 1.48 Order of pole (six term test) = -11.62 TOP MAIN SOLVE Loop x[1] = 3.269999999999975 y[1] (analytic) = -14.01507942963518 y[1] (numeric) = -14.01507942963515 absolute error = 3.730349362740526e-14 relative error = 2.661668370464332e-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 = 0.1464 Order of pole (three term test) = -5.991 Radius of convergence (six term test) for eq 1 = 1.826 Order of pole (six term test) = -11.29 TOP MAIN SOLVE Loop x[1] = 3.279999999999975 y[1] (analytic) = -14.00232393156491 y[1] (numeric) = -14.00232393156488 absolute error = 3.552713678800501e-14 relative error = 2.537231459694881e-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 = 0.7602 Order of pole (six term test) = -11.92 TOP MAIN SOLVE Loop x[1] = 3.289999999999975 y[1] (analytic) = -13.98956298173154 y[1] (numeric) = -13.9895629817315 absolute error = 3.907985046680551e-14 relative error = 2.793500448715837e-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 = 0.1317 Order of pole (three term test) = -15.01 Radius of convergence (six term test) for eq 1 = 0.3108 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = 3.299999999999975 y[1] (analytic) = -13.97679657925683 y[1] (numeric) = -13.97679657925679 absolute error = 3.552713678800501e-14 relative error = 2.541865483020005e-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 = 0.1087 Order of pole (three term test) = -22.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999974 y[1] (analytic) = -13.96402472326249 y[1] (numeric) = -13.96402472326246 absolute error = 3.730349362740526e-14 relative error = 2.671399855463005e-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 = 0.1347 Order of pole (three term test) = 0.0373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999974 y[1] (analytic) = -13.95124741287014 y[1] (numeric) = -13.9512474128701 absolute error = 3.907985046680551e-14 relative error = 2.801172490909596e-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] = 3.329999999999974 y[1] (analytic) = -13.9384646472013 y[1] (numeric) = -13.93846464720126 absolute error = 4.085620730620576e-14 relative error = 2.931184197135317e-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] = 3.339999999999974 y[1] (analytic) = -13.92567642537741 y[1] (numeric) = -13.92567642537737 absolute error = 4.085620730620576e-14 relative error = 2.933875961080898e-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] = 3.349999999999973 y[1] (analytic) = -13.91288274651982 y[1] (numeric) = -13.91288274651978 absolute error = 4.085620730620576e-14 relative error = 2.936573825178363e-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 = 1.769 Order of pole (six term test) = -12.81 TOP MAIN SOLVE Loop x[1] = 3.359999999999973 y[1] (analytic) = -13.9000836097498 y[1] (numeric) = -13.90008360974976 absolute error = 4.263256414560601e-14 relative error = 3.06707249701021e-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] = 3.369999999999973 y[1] (analytic) = -13.88727901418852 y[1] (numeric) = -13.88727901418848 absolute error = 4.085620730620576e-14 relative error = 2.94198793474685e-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] = 3.379999999999973 y[1] (analytic) = -13.8744689589571 y[1] (numeric) = -13.87446895895705 absolute error = 4.440892098500626e-14 relative error = 3.200765457501471e-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] = 3.389999999999973 y[1] (analytic) = -13.86165344317651 y[1] (numeric) = -13.86165344317647 absolute error = 4.085620730620576e-14 relative error = 2.947426688575706e-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 = 1.11 Order of pole (six term test) = -13.08 TOP MAIN SOLVE Loop x[1] = 3.399999999999972 y[1] (analytic) = -13.84883246596769 y[1] (numeric) = -13.84883246596765 absolute error = 3.907985046680551e-14 relative error = 2.821887734062844e-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 = 0.02403 Order of pole (three term test) = -37.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999972 y[1] (analytic) = -13.83600602645148 y[1] (numeric) = -13.83600602645143 absolute error = 4.085620730620576e-14 relative error = 2.952890250849664e-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] = 3.419999999999972 y[1] (analytic) = -13.82317412374861 y[1] (numeric) = -13.82317412374857 absolute error = 4.440892098500626e-14 relative error = 3.212642811806187e-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 = 0.003629 Order of pole (three term test) = -25.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999972 y[1] (analytic) = -13.81033675697975 y[1] (numeric) = -13.81033675697971 absolute error = 4.440892098500626e-14 relative error = 3.215629116542865e-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] = 3.439999999999972 y[1] (analytic) = -13.79749392526547 y[1] (numeric) = -13.79749392526543 absolute error = 4.263256414560601e-14 relative error = 3.089877362985376e-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 = 0.2752 Order of pole (three term test) = -16.83 Radius of convergence (six term test) for eq 1 = 0.9174 Order of pole (six term test) = -12.47 TOP MAIN SOLVE Loop x[1] = 3.449999999999971 y[1] (analytic) = -13.78464562772626 y[1] (numeric) = -13.78464562772622 absolute error = 4.440892098500626e-14 relative error = 3.22162224436751e-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] = 3.459999999999971 y[1] (analytic) = -13.77179186348252 y[1] (numeric) = -13.77179186348248 absolute error = 4.440892098500626e-14 relative error = 3.224629113279121e-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 = 0.2431 Order of pole (three term test) = -39.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469999999999971 y[1] (analytic) = -13.75893263165456 y[1] (numeric) = -13.75893263165452 absolute error = 4.440892098500626e-14 relative error = 3.2276428829106e-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] = 3.479999999999971 y[1] (analytic) = -13.74606793136262 y[1] (numeric) = -13.74606793136257 absolute error = 4.618527782440651e-14 relative error = 3.359890119488756e-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 = 0.008061 Order of pole (three term test) = -0.8043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = -13.73319776172682 y[1] (numeric) = -13.73319776172677 absolute error = 4.440892098500626e-14 relative error = 3.233691217115501e-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 = 0.7489 Order of pole (six term test) = -12.15 TOP MAIN SOLVE Loop x[1] = 3.49999999999997 y[1] (analytic) = -13.72032212186722 y[1] (numeric) = -13.72032212186718 absolute error = 4.263256414560601e-14 relative error = 3.107256795207376e-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 = 0.08941 Order of pole (three term test) = -13.75 Radius of convergence (six term test) for eq 1 = 0.6755 Order of pole (six term test) = -11.44 TOP MAIN SOLVE Loop x[1] = 3.50999999999997 y[1] (analytic) = -13.7074410109038 y[1] (numeric) = -13.70744101090376 absolute error = 4.263256414560601e-14 relative error = 3.110176736248091e-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] = 3.51999999999997 y[1] (analytic) = -13.69455442795643 y[1] (numeric) = -13.69455442795639 absolute error = 4.618527782440651e-14 relative error = 3.372528698715648e-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] = 3.52999999999997 y[1] (analytic) = -13.6816623721449 y[1] (numeric) = -13.68166237214486 absolute error = 4.440892098500626e-14 relative error = 3.245871720633915e-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 = 2.546 Order of pole (six term test) = -12.63 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = -13.66876484258893 y[1] (numeric) = -13.66876484258889 absolute error = 4.440892098500626e-14 relative error = 3.248934449924665e-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 = 1.219 Order of pole (six term test) = -12.24 TOP MAIN SOLVE Loop x[1] = 3.549999999999969 y[1] (analytic) = -13.65586183840813 y[1] (numeric) = -13.65586183840808 absolute error = 4.618527782440651e-14 relative error = 3.382084438970155e-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 = 0.8138 Order of pole (six term test) = -12.17 TOP MAIN SOLVE Loop x[1] = 3.559999999999969 y[1] (analytic) = -13.64295335872204 y[1] (numeric) = -13.64295335872199 absolute error = 4.618527782440651e-14 relative error = 3.3852844475848e-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] = 3.569999999999969 y[1] (analytic) = -13.63003940265009 y[1] (numeric) = -13.63003940265005 absolute error = 4.618527782440651e-14 relative error = 3.388491878858889e-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 = 0.003554 Order of pole (three term test) = -0.9025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999969 y[1] (analytic) = -13.61711996931167 y[1] (numeric) = -13.61711996931162 absolute error = 5.151434834260726e-14 relative error = 3.783057537768851e-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 = 0.7254 Order of pole (six term test) = -12.13 TOP MAIN SOLVE Loop x[1] = 3.589999999999968 y[1] (analytic) = -13.60419505782603 y[1] (numeric) = -13.60419505782598 absolute error = 4.973799150320701e-14 relative error = 3.656077503431152e-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 = 0.9622 Order of pole (six term test) = -12.83 TOP MAIN SOLVE Loop x[1] = 3.599999999999968 y[1] (analytic) = -13.59126466731237 y[1] (numeric) = -13.59126466731232 absolute error = 4.796163466380676e-14 relative error = 3.52885738287157e-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] = 3.609999999999968 y[1] (analytic) = -13.57832879688978 y[1] (numeric) = -13.57832879688973 absolute error = 4.973799150320701e-14 relative error = 3.663042208449089e-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] = 3.619999999999968 y[1] (analytic) = -13.56538744567728 y[1] (numeric) = -13.56538744567723 absolute error = 5.151434834260726e-14 relative error = 3.797484483867264e-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 = 0.04712 Order of pole (three term test) = -1.938 Radius of convergence (six term test) for eq 1 = 1.453 Order of pole (six term test) = -11.81 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = -13.5524406127938 y[1] (numeric) = -13.55244061279375 absolute error = 5.329070518200751e-14 relative error = 3.932185110016267e-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 = 1.998 Order of pole (six term test) = -10.77 TOP MAIN SOLVE Loop x[1] = 3.639999999999967 y[1] (analytic) = -13.53948829735817 y[1] (numeric) = -13.53948829735812 absolute error = 5.151434834260726e-14 relative error = 3.804748540804068e-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 = 0.08382 Order of pole (three term test) = -13.98 Radius of convergence (six term test) for eq 1 = 0.4538 Order of pole (six term test) = -11.41 TOP MAIN SOLVE Loop x[1] = 3.649999999999967 y[1] (analytic) = -13.52653049848916 y[1] (numeric) = -13.5265304984891 absolute error = 5.329070518200751e-14 relative error = 3.939717223715262e-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] = 3.659999999999967 y[1] (analytic) = -13.51356721530541 y[1] (numeric) = -13.51356721530536 absolute error = 5.329070518200751e-14 relative error = 3.943496512279206e-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] = 3.669999999999967 y[1] (analytic) = -13.50059844692553 y[1] (numeric) = -13.50059844692547 absolute error = 5.506706202140776e-14 relative error = 4.078860817754943e-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] = 3.679999999999966 y[1] (analytic) = -13.48762419246798 y[1] (numeric) = -13.48762419246793 absolute error = 5.151434834260726e-14 relative error = 3.819378980871582e-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 = 0.03338 Order of pole (three term test) = -19.03 Radius of convergence (six term test) for eq 1 = 2.159 Order of pole (six term test) = -11.63 TOP MAIN SOLVE Loop x[1] = 3.689999999999966 y[1] (analytic) = -13.4746444510512 y[1] (numeric) = -13.47464445105115 absolute error = 5.329070518200751e-14 relative error = 3.954887668880207e-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 = 0.2493 Order of pole (three term test) = -28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999966 y[1] (analytic) = -13.4616592217935 y[1] (numeric) = -13.46165922179344 absolute error = 5.506706202140776e-14 relative error = 4.090659339545455e-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 = 0.1984 Order of pole (three term test) = -23.5 Radius of convergence (six term test) for eq 1 = 0.5775 Order of pole (six term test) = -11.38 TOP MAIN SOLVE Loop x[1] = 3.709999999999966 y[1] (analytic) = -13.4486685038131 y[1] (numeric) = -13.44866850381304 absolute error = 5.684341886080801e-14 relative error = 4.226694921113656e-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 = 0.007701 Order of pole (three term test) = -24.85 Radius of convergence (six term test) for eq 1 = 0.1199 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 3.719999999999966 y[1] (analytic) = -13.43567229622815 y[1] (numeric) = -13.43567229622809 absolute error = 5.329070518200751e-14 relative error = 3.966359405548172e-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] = 3.729999999999965 y[1] (analytic) = -13.42267059815671 y[1] (numeric) = -13.42267059815666 absolute error = 5.151434834260726e-14 relative error = 3.837861323191642e-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 = 0.9447 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = 3.739999999999965 y[1] (analytic) = -13.40966340871677 y[1] (numeric) = -13.40966340871671 absolute error = 5.684341886080801e-14 relative error = 4.238989236960097e-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] = 3.749999999999965 y[1] (analytic) = -13.39665072702618 y[1] (numeric) = -13.39665072702613 absolute error = 5.506706202140776e-14 relative error = 4.110509644796246e-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] = 3.759999999999965 y[1] (analytic) = -13.38363255220278 y[1] (numeric) = -13.38363255220272 absolute error = 5.506706202140776e-14 relative error = 4.114507911556823e-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] = 3.769999999999964 y[1] (analytic) = -13.37060888336425 y[1] (numeric) = -13.37060888336419 absolute error = 5.684341886080801e-14 relative error = 4.251371000129452e-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 = 0.01496 Order of pole (three term test) = -24.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999964 y[1] (analytic) = -13.35757971962823 y[1] (numeric) = -13.35757971962818 absolute error = 5.506706202140776e-14 relative error = 4.122532912192898e-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 = 0.03466 Order of pole (three term test) = -1.777 Radius of convergence (six term test) for eq 1 = 1.045 Order of pole (six term test) = -11.8 TOP MAIN SOLVE Loop x[1] = 3.789999999999964 y[1] (analytic) = -13.34454506011226 y[1] (numeric) = -13.3445450601122 absolute error = 5.684341886080801e-14 relative error = 4.259674541526097e-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 = 0.09954 Order of pole (three term test) = 6.003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999964 y[1] (analytic) = -13.33150490393378 y[1] (numeric) = -13.33150490393372 absolute error = 5.684341886080801e-14 relative error = 4.26384112449563e-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] = 3.809999999999964 y[1] (analytic) = -13.31845925021016 y[1] (numeric) = -13.31845925021011 absolute error = 5.506706202140776e-14 relative error = 4.134642077351314e-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] = 3.819999999999963 y[1] (analytic) = -13.30540809805868 y[1] (numeric) = -13.30540809805863 absolute error = 5.506706202140776e-14 relative error = 4.138697709651031e-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 = 0.6385 Order of pole (six term test) = -12.02 TOP MAIN SOLVE Loop x[1] = 3.829999999999963 y[1] (analytic) = -13.29235144659654 y[1] (numeric) = -13.29235144659648 absolute error = 6.039613253960852e-14 relative error = 4.543675570289914e-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 = 0.2639 Order of pole (three term test) = 5.886 Radius of convergence (six term test) for eq 1 = 1.249 Order of pole (six term test) = -12.7 TOP MAIN SOLVE Loop x[1] = 3.839999999999963 y[1] (analytic) = -13.27928929494083 y[1] (numeric) = -13.27928929494077 absolute error = 6.039613253960852e-14 relative error = 4.548144949490507e-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 = 0.4835 Order of pole (three term test) = -18.63 Radius of convergence (six term test) for eq 1 = 4.173 Order of pole (six term test) = -13.46 TOP MAIN SOLVE Loop x[1] = 3.849999999999963 y[1] (analytic) = -13.26622164220858 y[1] (numeric) = -13.26622164220852 absolute error = 6.217248937900877e-14 relative error = 4.68652575358738e-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 = 0.02502 Order of pole (three term test) = -21.66 Radius of convergence (six term test) for eq 1 = 3.032 Order of pole (six term test) = 3.414 TOP MAIN SOLVE Loop x[1] = 3.859999999999963 y[1] (analytic) = -13.2531484875167 y[1] (numeric) = -13.25314848751664 absolute error = 6.039613253960852e-14 relative error = 4.557115812630965e-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 = 2.889 Order of pole (six term test) = -14.15 TOP MAIN SOLVE Loop x[1] = 3.869999999999962 y[1] (analytic) = -13.24006982998205 y[1] (numeric) = -13.24006982998199 absolute error = 6.039613253960852e-14 relative error = 4.561617371748438e-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 = 0.1952 Order of pole (three term test) = -42.46 Radius of convergence (six term test) for eq 1 = 0.6083 Order of pole (six term test) = -12.01 TOP MAIN SOLVE Loop x[1] = 3.879999999999962 y[1] (analytic) = -13.22698566872139 y[1] (numeric) = -13.22698566872132 absolute error = 6.217248937900877e-14 relative error = 4.700427666299785e-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 = 2.348 Order of pole (six term test) = -12.37 TOP MAIN SOLVE Loop x[1] = 3.889999999999962 y[1] (analytic) = -13.21389600285137 y[1] (numeric) = -13.21389600285131 absolute error = 6.394884621840902e-14 relative error = 4.839514871663115e-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 = 1.449 Order of pole (six term test) = -12.88 TOP MAIN SOLVE Loop x[1] = 3.899999999999962 y[1] (analytic) = -13.20080083148859 y[1] (numeric) = -13.20080083148853 absolute error = 6.217248937900877e-14 relative error = 4.709751338017714e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.207 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 = 2.072 Order of pole (six term test) = -13.65 TOP MAIN SOLVE Loop x[1] = 3.909999999999962 y[1] (analytic) = -13.18770015374955 y[1] (numeric) = -13.18770015374949 absolute error = 5.861977570020827e-14 relative error = 4.445034010235773e-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 = 0.1386 Order of pole (three term test) = -8.275 Radius of convergence (six term test) for eq 1 = 3.145 Order of pole (six term test) = -8.917 TOP MAIN SOLVE Loop x[1] = 3.919999999999961 y[1] (analytic) = -13.17459396875064 y[1] (numeric) = -13.17459396875058 absolute error = 6.039613253960852e-14 relative error = 4.584287962336036e-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] = 3.929999999999961 y[1] (analytic) = -13.16148227560821 y[1] (numeric) = -13.16148227560814 absolute error = 6.572520305780927e-14 relative error = 4.993753870687945e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.854 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 = 0.7657 Order of pole (six term test) = -12.07 TOP MAIN SOLVE Loop x[1] = 3.939999999999961 y[1] (analytic) = -13.14836507343846 y[1] (numeric) = -13.1483650734384 absolute error = 6.217248937900877e-14 relative error = 4.728533854342538e-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 = 0.7504 Order of pole (six term test) = -11.58 TOP MAIN SOLVE Loop x[1] = 3.949999999999961 y[1] (analytic) = -13.13524236135756 y[1] (numeric) = -13.1352423613575 absolute error = 6.394884621840902e-14 relative error = 4.868493816797738e-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 = 0.7148 Order of pole (three term test) = -41.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = -13.12211413848157 y[1] (numeric) = -13.12211413848151 absolute error = 6.217248937900877e-14 relative error = 4.737993338793123e-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 = 0.3155 Order of pole (three term test) = -11.29 Radius of convergence (six term test) for eq 1 = 1.904 Order of pole (six term test) = -13.99 TOP MAIN SOLVE Loop x[1] = 3.96999999999996 y[1] (analytic) = -13.10898040392647 y[1] (numeric) = -13.10898040392641 absolute error = 6.217248937900877e-14 relative error = 4.742740279052255e-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 = 0.1918 Order of pole (three term test) = -6.287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.97999999999996 y[1] (analytic) = -13.09584115680814 y[1] (numeric) = -13.09584115680807 absolute error = 6.394884621840902e-14 relative error = 4.883141560186375e-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 = 0.3022 Order of pole (three term test) = -39.25 Radius of convergence (six term test) for eq 1 = 1.188 Order of pole (six term test) = -11.77 TOP MAIN SOLVE Loop x[1] = 3.98999999999996 y[1] (analytic) = -13.08269639624237 y[1] (numeric) = -13.08269639624231 absolute error = 6.394884621840902e-14 relative error = 4.888047867317053e-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] = 3.99999999999996 y[1] (analytic) = -13.0695461213449 y[1] (numeric) = -13.06954612134483 absolute error = 6.572520305780927e-14 relative error = 5.028881833200643e-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 = 0.02799 Order of pole (three term test) = -12.05 Radius of convergence (six term test) for eq 1 = 0.7386 Order of pole (six term test) = -11.88 TOP MAIN SOLVE Loop x[1] = 4.00999999999996 y[1] (analytic) = -13.05639033123133 y[1] (numeric) = -13.05639033123126 absolute error = 6.217248937900877e-14 relative error = 4.761843649104919e-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 = 0.2709 Order of pole (three term test) = -24.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.01999999999996 y[1] (analytic) = -13.04322902501721 y[1] (numeric) = -13.04322902501715 absolute error = 6.394884621840902e-14 relative error = 4.902838560586007e-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] = 4.029999999999959 y[1] (analytic) = -13.030062201818 y[1] (numeric) = -13.03006220181794 absolute error = 6.572520305780927e-14 relative error = 5.044120437785711e-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 = 0.06926 Order of pole (three term test) = -3.031 Radius of convergence (six term test) for eq 1 = 0.8917 Order of pole (six term test) = -12.16 TOP MAIN SOLVE Loop x[1] = 4.039999999999959 y[1] (analytic) = -13.01688986074906 y[1] (numeric) = -13.01688986074899 absolute error = 6.217248937900877e-14 relative error = 4.776293726390265e-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 = 6.387 Order of pole (six term test) = -21.56 TOP MAIN SOLVE Loop x[1] = 4.049999999999959 y[1] (analytic) = -13.00371200092566 y[1] (numeric) = -13.0037120009256 absolute error = 6.217248937900877e-14 relative error = 4.781133985017743e-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 = 0.1501 Order of pole (three term test) = -13.69 Radius of convergence (six term test) for eq 1 = 1.1 Order of pole (six term test) = -11.79 TOP MAIN SOLVE Loop x[1] = 4.059999999999959 y[1] (analytic) = -12.99052862146301 y[1] (numeric) = -12.99052862146295 absolute error = 6.572520305780927e-14 relative error = 5.059471017154588e-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] = 4.069999999999959 y[1] (analytic) = -12.97733972147621 y[1] (numeric) = -12.97733972147614 absolute error = 6.394884621840902e-14 relative error = 4.927731537503024e-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 = 0.6409 Order of pole (three term test) = -85.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999958 y[1] (analytic) = -12.96414530008026 y[1] (numeric) = -12.9641453000802 absolute error = 6.750155989720952e-14 relative error = 5.206788286829183e-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 = 0.1789 Order of pole (three term test) = 7.953 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999958 y[1] (analytic) = -12.95094535639012 y[1] (numeric) = -12.95094535639005 absolute error = 6.927791673660977e-14 relative error = 5.349255581750054e-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 = 0.1472 Order of pole (three term test) = -22.76 Radius of convergence (six term test) for eq 1 = 0.9754 Order of pole (six term test) = -10.67 TOP MAIN SOLVE Loop x[1] = 4.099999999999958 y[1] (analytic) = -12.9377398895206 y[1] (numeric) = -12.93773988952054 absolute error = 6.750155989720952e-14 relative error = 5.217415133835306e-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 = 0.2418 Order of pole (three term test) = -35.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999958 y[1] (analytic) = -12.92452889858649 y[1] (numeric) = -12.92452889858642 absolute error = 6.572520305780927e-14 relative error = 5.085307447066595e-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 = 0.02668 Order of pole (three term test) = -0.4597 Radius of convergence (six term test) for eq 1 = 3.322 Order of pole (six term test) = -16.5 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = -12.91131238270244 y[1] (numeric) = -12.91131238270237 absolute error = 6.927791673660977e-14 relative error = 5.365675826217549e-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] = 4.129999999999957 y[1] (analytic) = -12.89809034098303 y[1] (numeric) = -12.89809034098296 absolute error = 6.750155989720952e-14 relative error = 5.233453799181939e-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 = 3.896 Order of pole (six term test) = -14.53 TOP MAIN SOLVE Loop x[1] = 4.139999999999957 y[1] (analytic) = -12.88486277254277 y[1] (numeric) = -12.8848627725427 absolute error = 7.105427357601002e-14 relative error = 5.514554157877754e-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] = 4.149999999999957 y[1] (analytic) = -12.87162967649606 y[1] (numeric) = -12.87162967649599 absolute error = 6.927791673660977e-14 relative error = 5.3822179846514e-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 = 0.8134 Order of pole (three term test) = -27.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999957 y[1] (analytic) = -12.85839105195723 y[1] (numeric) = -12.85839105195715 absolute error = 7.105427357601002e-14 relative error = 5.525907035250307e-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 = 0.07877 Order of pole (three term test) = 0.7242 Radius of convergence (six term test) for eq 1 = 1.463 Order of pole (six term test) = -12.75 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = -12.84514689804049 y[1] (numeric) = -12.84514689804043 absolute error = 6.750155989720952e-14 relative error = 5.255024363131789e-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 = 0.1256 Order of pole (three term test) = 1.945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999956 y[1] (analytic) = -12.83189721386002 y[1] (numeric) = -12.83189721385995 absolute error = 7.283063041541027e-14 relative error = 5.675749205405437e-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] = 4.189999999999956 y[1] (analytic) = -12.81864199852986 y[1] (numeric) = -12.81864199852979 absolute error = 7.105427357601002e-14 relative error = 5.543042202454756e-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] = 4.199999999999956 y[1] (analytic) = -12.805381251164 y[1] (numeric) = -12.80538125116393 absolute error = 7.105427357601002e-14 relative error = 5.548782358163e-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 = 0.7812 Order of pole (six term test) = -11.38 TOP MAIN SOLVE Loop x[1] = 4.209999999999956 y[1] (analytic) = -12.7921149708763 y[1] (numeric) = -12.79211497087623 absolute error = 6.927791673660977e-14 relative error = 5.415673396802186e-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 = 1.29 Order of pole (three term test) = -143.1 Radius of convergence (six term test) for eq 1 = 1.818 Order of pole (six term test) = -12.16 TOP MAIN SOLVE Loop x[1] = 4.219999999999955 y[1] (analytic) = -12.77884315678059 y[1] (numeric) = -12.77884315678051 absolute error = 7.105427357601002e-14 relative error = 5.560305632071858e-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 = 0.1358 Order of pole (three term test) = 4.998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999955 y[1] (analytic) = -12.76556580799055 y[1] (numeric) = -12.76556580799048 absolute error = 7.283063041541027e-14 relative error = 5.705241076727068e-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 = 1.116 Order of pole (six term test) = -11.51 TOP MAIN SOLVE Loop x[1] = 4.239999999999955 y[1] (analytic) = -12.75228292361983 y[1] (numeric) = -12.75228292361976 absolute error = 6.927791673660977e-14 relative error = 5.432589376471011e-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 = 0.8573 Order of pole (three term test) = -110.4 Radius of convergence (six term test) for eq 1 = 1.251 Order of pole (six term test) = -12.09 TOP MAIN SOLVE Loop x[1] = 4.249999999999955 y[1] (analytic) = -12.73899450278196 y[1] (numeric) = -12.73899450278189 absolute error = 7.105427357601002e-14 relative error = 5.577698739134637e-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 = 0.04093 Order of pole (three term test) = -22.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = -12.72570054459039 y[1] (numeric) = -12.72570054459032 absolute error = 7.105427357601002e-14 relative error = 5.58352550628065e-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 = 0.6046 Order of pole (three term test) = -121.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999954 y[1] (analytic) = -12.71240104815849 y[1] (numeric) = -12.71240104815841 absolute error = 7.460698725481052e-14 relative error = 5.868835239871389e-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 = 0.01537 Order of pole (three term test) = -26.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999954 y[1] (analytic) = -12.69909601259952 y[1] (numeric) = -12.69909601259945 absolute error = 7.283063041541027e-14 relative error = 5.735103533601975e-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] = 4.289999999999954 y[1] (analytic) = -12.68578543702668 y[1] (numeric) = -12.68578543702661 absolute error = 6.927791673660977e-14 relative error = 5.461066410157357e-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] = 4.299999999999954 y[1] (analytic) = -12.67246932055308 y[1] (numeric) = -12.67246932055301 absolute error = 7.460698725481052e-14 relative error = 5.887328299450509e-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 = 0.1091 Order of pole (three term test) = -29.38 Radius of convergence (six term test) for eq 1 = 1.911 Order of pole (six term test) = -14.91 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = -12.65914766229172 y[1] (numeric) = -12.65914766229165 absolute error = 7.283063041541027e-14 relative error = 5.753201744565599e-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 = 0.1818 Order of pole (three term test) = -32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999953 y[1] (analytic) = -12.64582046135554 y[1] (numeric) = -12.64582046135547 absolute error = 7.283063041541027e-14 relative error = 5.75926493958806e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.516 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.0785 Order of pole (three term test) = -26.1 Radius of convergence (six term test) for eq 1 = 4.745 Order of pole (six term test) = -32.69 TOP MAIN SOLVE Loop x[1] = 4.329999999999953 y[1] (analytic) = -12.63248771685738 y[1] (numeric) = -12.6324877168573 absolute error = 7.460698725481052e-14 relative error = 5.905961591021498e-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 = 0.03706 Order of pole (three term test) = -20.13 Radius of convergence (six term test) for eq 1 = 0.6677 Order of pole (six term test) = -11.49 TOP MAIN SOLVE Loop x[1] = 4.339999999999953 y[1] (analytic) = -12.61914942790998 y[1] (numeric) = -12.61914942790991 absolute error = 7.815970093361102e-14 relative error = 6.19373765087082e-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] = 4.349999999999953 y[1] (analytic) = -12.60580559362602 y[1] (numeric) = -12.60580559362594 absolute error = 7.460698725481052e-14 relative error = 5.918462465622561e-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 = 1.373 Order of pole (six term test) = -11.58 TOP MAIN SOLVE Loop x[1] = 4.359999999999952 y[1] (analytic) = -12.59245621311808 y[1] (numeric) = -12.592456213118 absolute error = 7.993605777301127e-14 relative error = 6.347932160346811e-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 = 0.04163 Order of pole (three term test) = -0.2135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999952 y[1] (analytic) = -12.57910128549864 y[1] (numeric) = -12.57910128549856 absolute error = 7.815970093361102e-14 relative error = 6.213456681815146e-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 = 0.772 Order of pole (six term test) = -12.17 TOP MAIN SOLVE Loop x[1] = 4.379999999999952 y[1] (analytic) = -12.56574080988011 y[1] (numeric) = -12.56574080988004 absolute error = 7.638334409421077e-14 relative error = 6.078698044937592e-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] = 4.389999999999952 y[1] (analytic) = -12.55237478537482 y[1] (numeric) = -12.55237478537474 absolute error = 7.638334409421077e-14 relative error = 6.085170766507664e-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] = 4.399999999999952 y[1] (analytic) = -12.53900321109499 y[1] (numeric) = -12.53900321109491 absolute error = 7.993605777301127e-14 relative error = 6.374993006005517e-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 = 0.032 Order of pole (three term test) = -23.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409999999999951 y[1] (analytic) = -12.52562608615276 y[1] (numeric) = -12.52562608615268 absolute error = 7.815970093361102e-14 relative error = 6.2399835661722e-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 = 0.02763 Order of pole (three term test) = -1.408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419999999999951 y[1] (analytic) = -12.51224340966019 y[1] (numeric) = -12.51224340966011 absolute error = 8.171241461241152e-14 relative error = 6.530596627406138e-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 = 0.09523 Order of pole (three term test) = -25.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999951 y[1] (analytic) = -12.49885518072925 y[1] (numeric) = -12.49885518072917 absolute error = 7.993605777301127e-14 relative error = 6.395470354457486e-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 = 1.105 Order of pole (six term test) = -12.29 TOP MAIN SOLVE Loop x[1] = 4.439999999999951 y[1] (analytic) = -12.48546139847182 y[1] (numeric) = -12.48546139847174 absolute error = 7.993605777301127e-14 relative error = 6.402331097094673e-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 = 1.204 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = -12.4720620619997 y[1] (numeric) = -12.47206206199962 absolute error = 7.993605777301127e-14 relative error = 6.409209429494677e-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 = 0.3799 Order of pole (three term test) = 10.56 Radius of convergence (six term test) for eq 1 = 0.881 Order of pole (six term test) = -12.17 TOP MAIN SOLVE Loop x[1] = 4.45999999999995 y[1] (analytic) = -12.45865717042458 y[1] (numeric) = -12.4586571704245 absolute error = 7.993605777301127e-14 relative error = 6.416105418067869e-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 = 1.507 Order of pole (six term test) = -13.47 TOP MAIN SOLVE Loop x[1] = 4.46999999999995 y[1] (analytic) = -12.4452467228581 y[1] (numeric) = -12.44524672285802 absolute error = 7.815970093361102e-14 relative error = 6.280285371125317e-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 = 1.641 Order of pole (six term test) = -12.7 TOP MAIN SOLVE Loop x[1] = 4.47999999999995 y[1] (analytic) = -12.43183071841179 y[1] (numeric) = -12.43183071841171 absolute error = 7.993605777301127e-14 relative error = 6.429950631054233e-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] = 4.48999999999995 y[1] (analytic) = -12.41840915619709 y[1] (numeric) = -12.418409156197 absolute error = 8.526512829121202e-14 relative error = 6.866026655971682e-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 = 1.608 Order of pole (six term test) = -11.26 TOP MAIN SOLVE Loop x[1] = 4.499999999999949 y[1] (analytic) = -12.40498203532535 y[1] (numeric) = -12.40498203532527 absolute error = 8.526512829121202e-14 relative error = 6.873458425687734e-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 = 0.0226 Order of pole (three term test) = -0.6064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999949 y[1] (analytic) = -12.39154935490786 y[1] (numeric) = -12.39154935490777 absolute error = 8.348877145181177e-14 relative error = 6.737557109333128e-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 = 0.05581 Order of pole (three term test) = -19.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999949 y[1] (analytic) = -12.37811111405579 y[1] (numeric) = -12.3781111140557 absolute error = 8.526512829121202e-14 relative error = 6.888379616692115e-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] = 4.529999999999949 y[1] (analytic) = -12.36466731188023 y[1] (numeric) = -12.36466731188015 absolute error = 8.171241461241152e-14 relative error = 6.60854130170575e-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 = 0.09359 Order of pole (three term test) = -30.66 Radius of convergence (six term test) for eq 1 = 5.577 Order of pole (six term test) = -23.72 TOP MAIN SOLVE Loop x[1] = 4.539999999999949 y[1] (analytic) = -12.35121794749221 y[1] (numeric) = -12.35121794749213 absolute error = 8.526512829121202e-14 relative error = 6.903378165108342e-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 = 9.339 Order of pole (six term test) = -26.91 TOP MAIN SOLVE Loop x[1] = 4.549999999999948 y[1] (analytic) = -12.33776302000264 y[1] (numeric) = -12.33776302000255 absolute error = 8.526512829121202e-14 relative error = 6.910906632991382e-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] = 4.559999999999948 y[1] (analytic) = -12.32430252852235 y[1] (numeric) = -12.32430252852227 absolute error = 8.348877145181177e-14 relative error = 6.774320190419882e-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] = 4.569999999999948 y[1] (analytic) = -12.3108364721621 y[1] (numeric) = -12.31083647216201 absolute error = 8.526512829121202e-14 relative error = 6.926022328703492e-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 = 0.729 Order of pole (six term test) = -11.58 TOP MAIN SOLVE Loop x[1] = 4.579999999999948 y[1] (analytic) = -12.29736485003254 y[1] (numeric) = -12.29736485003245 absolute error = 8.348877145181177e-14 relative error = 6.789159504492612e-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 = 0.0977 Order of pole (three term test) = -6.098 Radius of convergence (six term test) for eq 1 = 1.528 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = -12.28388766124424 y[1] (numeric) = -12.28388766124416 absolute error = 8.171241461241152e-14 relative error = 6.651999502585393e-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 = 2.261 Order of pole (six term test) = -11.85 TOP MAIN SOLVE Loop x[1] = 4.599999999999947 y[1] (analytic) = -12.27040490490769 y[1] (numeric) = -12.27040490490761 absolute error = 8.348877145181177e-14 relative error = 6.804076320123671e-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 = 0.1883 Order of pole (three term test) = -13.09 Radius of convergence (six term test) for eq 1 = 0.8414 Order of pole (six term test) = -11.45 TOP MAIN SOLVE Loop x[1] = 4.609999999999947 y[1] (analytic) = -12.2569165801333 y[1] (numeric) = -12.25691658013321 absolute error = 8.526512829121202e-14 relative error = 6.956490870584415e-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 = 0.3144 Order of pole (three term test) = 17.3 Radius of convergence (six term test) for eq 1 = 1.948 Order of pole (six term test) = -10.7 TOP MAIN SOLVE Loop x[1] = 4.619999999999947 y[1] (analytic) = -12.24342268603136 y[1] (numeric) = -12.24342268603127 absolute error = 8.704148513061227e-14 relative error = 7.109244478663533e-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 = 4.122 Order of pole (six term test) = -18.68 TOP MAIN SOLVE Loop x[1] = 4.629999999999947 y[1] (analytic) = -12.2299232217121 y[1] (numeric) = -12.22992322171201 absolute error = 8.526512829121202e-14 relative error = 6.971844936838085e-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 = 2.34 Order of pole (six term test) = -11.99 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = -12.21641818628566 y[1] (numeric) = -12.21641818628557 absolute error = 8.348877145181177e-14 relative error = 6.834144851519373e-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 = 3.926 Order of pole (three term test) = 349.2 Radius of convergence (six term test) for eq 1 = 1.078 Order of pole (six term test) = -12.36 TOP MAIN SOLVE Loop x[1] = 4.649999999999946 y[1] (analytic) = -12.20290757886209 y[1] (numeric) = -12.202907578862 absolute error = 8.704148513061227e-14 relative error = 7.132848017417241e-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 = 1.292 Order of pole (six term test) = -11.89 TOP MAIN SOLVE Loop x[1] = 4.659999999999946 y[1] (analytic) = -12.18939139855135 y[1] (numeric) = -12.18939139855126 absolute error = 9.059419880941277e-14 relative error = 7.432216740548627e-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] = 4.669999999999946 y[1] (analytic) = -12.1758696444633 y[1] (numeric) = -12.17586964446321 absolute error = 8.881784197001252e-14 relative error = 7.29457891415587e-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 = 1.649 Order of pole (six term test) = -11.25 TOP MAIN SOLVE Loop x[1] = 4.679999999999946 y[1] (analytic) = -12.16234231570774 y[1] (numeric) = -12.16234231570766 absolute error = 8.704148513061227e-14 relative error = 7.156638324362704e-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 = 0.143 Order of pole (three term test) = 14.99 Radius of convergence (six term test) for eq 1 = 2.908 Order of pole (six term test) = -8.515 TOP MAIN SOLVE Loop x[1] = 4.689999999999945 y[1] (analytic) = -12.14880941139438 y[1] (numeric) = -12.14880941139429 absolute error = 9.059419880941277e-14 relative error = 7.45704338109415e-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 = 1.48 Order of pole (six term test) = -12.1 TOP MAIN SOLVE Loop x[1] = 4.699999999999945 y[1] (analytic) = -12.13527093063281 y[1] (numeric) = -12.13527093063272 absolute error = 8.881784197001252e-14 relative error = 7.318983027054759e-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 = 0.1475 Order of pole (three term test) = -29.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999945 y[1] (analytic) = -12.12172687253257 y[1] (numeric) = -12.12172687253247 absolute error = 9.414691248821327e-14 relative error = 7.766790448112395e-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 = 0.4216 Order of pole (three term test) = -34.45 Radius of convergence (six term test) for eq 1 = 1.057 Order of pole (six term test) = -11.74 TOP MAIN SOLVE Loop x[1] = 4.719999999999945 y[1] (analytic) = -12.10817723620308 y[1] (numeric) = -12.10817723620299 absolute error = 9.059419880941277e-14 relative error = 7.482067452608715e-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 = 0.003035 Order of pole (three term test) = -0.8954 Radius of convergence (six term test) for eq 1 = 1.469 Order of pole (six term test) = -12.06 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = -12.0946220207537 y[1] (numeric) = -12.09462202075361 absolute error = 9.414691248821327e-14 relative error = 7.784196341701491e-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 = 1.242 Order of pole (six term test) = -11.63 TOP MAIN SOLVE Loop x[1] = 4.739999999999944 y[1] (analytic) = -12.08106122529369 y[1] (numeric) = -12.0810612252936 absolute error = 8.704148513061227e-14 relative error = 7.204788015507826e-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 = 1.451 Order of pole (six term test) = -11.09 TOP MAIN SOLVE Loop x[1] = 4.749999999999944 y[1] (analytic) = -12.06749484893224 y[1] (numeric) = -12.06749484893215 absolute error = 9.237055564881302e-14 relative error = 7.654493066304163e-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] = 4.759999999999944 y[1] (analytic) = -12.05392289077841 y[1] (numeric) = -12.05392289077832 absolute error = 9.237055564881302e-14 relative error = 7.663111543502495e-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 = 1.384 Order of pole (six term test) = -12.32 TOP MAIN SOLVE Loop x[1] = 4.769999999999944 y[1] (analytic) = -12.04034534994122 y[1] (numeric) = -12.04034534994113 absolute error = 9.237055564881302e-14 relative error = 7.671753007422164e-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 = 0.4755 Order of pole (three term test) = -63.7 Radius of convergence (six term test) for eq 1 = 1.266 Order of pole (six term test) = -12.02 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = -12.02676222552958 y[1] (numeric) = -12.02676222552948 absolute error = 9.592326932761353e-14 relative error = 7.975818223461194e-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 = 0.1359 Order of pole (three term test) = 9.532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999943 y[1] (analytic) = -12.0131735166523 y[1] (numeric) = -12.01317351665221 absolute error = 9.059419880941277e-14 relative error = 7.541237848919257e-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 = 0.04371 Order of pole (three term test) = -3.788 Radius of convergence (six term test) for eq 1 = 1.645 Order of pole (six term test) = -11.36 TOP MAIN SOLVE Loop x[1] = 4.799999999999943 y[1] (analytic) = -11.99957922241814 y[1] (numeric) = -11.99957922241804 absolute error = 9.414691248821327e-14 relative error = 7.845851153874121e-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] = 4.809999999999943 y[1] (analytic) = -11.98597934193573 y[1] (numeric) = -11.98597934193564 absolute error = 9.592326932761353e-14 relative error = 8.002956336826287e-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] = 4.819999999999943 y[1] (analytic) = -11.97237387431364 y[1] (numeric) = -11.97237387431355 absolute error = 9.592326932761353e-14 relative error = 8.012050937818933e-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 = 0.4549 Order of pole (three term test) = 67.08 Radius of convergence (six term test) for eq 1 = 5.622 Order of pole (six term test) = -11.46 TOP MAIN SOLVE Loop x[1] = 4.829999999999942 y[1] (analytic) = -11.95876281866036 y[1] (numeric) = -11.95876281866026 absolute error = 9.769962616701378e-14 relative error = 8.169710165550241e-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 = 0.0106 Order of pole (three term test) = -25.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999942 y[1] (analytic) = -11.94514617408425 y[1] (numeric) = -11.94514617408415 absolute error = 9.592326932761353e-14 relative error = 8.030313562484913e-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] = 4.849999999999942 y[1] (analytic) = -11.93152393969363 y[1] (numeric) = -11.93152393969353 absolute error = 9.592326932761353e-14 relative error = 8.03948178057099e-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 = 0.16 Order of pole (three term test) = -4.667 Radius of convergence (six term test) for eq 1 = 2.609 Order of pole (six term test) = -11.73 TOP MAIN SOLVE Loop x[1] = 4.859999999999942 y[1] (analytic) = -11.91789611459671 y[1] (numeric) = -11.91789611459661 absolute error = 1.012523398458143e-13 relative error = 8.495823329237048e-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] = 4.869999999999941 y[1] (analytic) = -11.9042626979016 y[1] (numeric) = -11.9042626979015 absolute error = 9.592326932761353e-14 relative error = 8.057892518158407e-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 = 0.1171 Order of pole (three term test) = -23.34 Radius of convergence (six term test) for eq 1 = 1.652 Order of pole (six term test) = -9.859 TOP MAIN SOLVE Loop x[1] = 4.879999999999941 y[1] (analytic) = -11.89062368871636 y[1] (numeric) = -11.89062368871626 absolute error = 9.414691248821327e-14 relative error = 7.917743841944495e-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 = 0.03232 Order of pole (three term test) = -28.1 Radius of convergence (six term test) for eq 1 = 1.722 Order of pole (six term test) = -11.52 TOP MAIN SOLVE Loop x[1] = 4.889999999999941 y[1] (analytic) = -11.87697908614892 y[1] (numeric) = -11.87697908614883 absolute error = 9.592326932761353e-14 relative error = 8.076402983607202e-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 = 8.343 Order of pole (three term test) = -324.4 Radius of convergence (six term test) for eq 1 = 1.21 Order of pole (six term test) = -12.32 TOP MAIN SOLVE Loop x[1] = 4.899999999999941 y[1] (analytic) = -11.86332888930716 y[1] (numeric) = -11.86332888930707 absolute error = 9.592326932761353e-14 relative error = 8.085695863500214e-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 = 1.376 Order of pole (six term test) = -11.36 TOP MAIN SOLVE Loop x[1] = 4.909999999999941 y[1] (analytic) = -11.84967309729885 y[1] (numeric) = -11.84967309729876 absolute error = 9.769962616701378e-14 relative error = 8.244921641702041e-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 = 1.002 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = -11.83601170923168 y[1] (numeric) = -11.83601170923158 absolute error = 9.769962616701378e-14 relative error = 8.25443811371118e-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] = 4.92999999999994 y[1] (analytic) = -11.82234472421324 y[1] (numeric) = -11.82234472421314 absolute error = 9.769962616701378e-14 relative error = 8.263980491696884e-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] = 4.93999999999994 y[1] (analytic) = -11.80867214135104 y[1] (numeric) = -11.80867214135095 absolute error = 9.592326932761353e-14 relative error = 8.123120718350203e-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 = 0.2205 Order of pole (three term test) = 4.128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.94999999999994 y[1] (analytic) = -11.79499395975253 y[1] (numeric) = -11.79499395975243 absolute error = 9.769962616701378e-14 relative error = 8.283143382725701e-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] = 4.95999999999994 y[1] (analytic) = -11.78131017852502 y[1] (numeric) = -11.78131017852492 absolute error = 9.769962616701378e-14 relative error = 8.292764105735941e-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 = 0.06306 Order of pole (three term test) = -19.24 Radius of convergence (six term test) for eq 1 = 1.952 Order of pole (six term test) = -11.31 TOP MAIN SOLVE Loop x[1] = 4.969999999999939 y[1] (analytic) = -11.76762079677578 y[1] (numeric) = -11.76762079677568 absolute error = 9.947598300641403e-14 relative error = 8.453364084749364e-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 = 0.07514 Order of pole (three term test) = -30.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999939 y[1] (analytic) = -11.75392581361195 y[1] (numeric) = -11.75392581361185 absolute error = 1.012523398458143e-13 relative error = 8.614342259039635e-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 = 3.835 Order of pole (six term test) = -15.17 TOP MAIN SOLVE Loop x[1] = 4.989999999999939 y[1] (analytic) = -11.74022522814063 y[1] (numeric) = -11.74022522814053 absolute error = 9.947598300641403e-14 relative error = 8.473089832039676e-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 = 0.3249 Order of pole (three term test) = -28.59 Radius of convergence (six term test) for eq 1 = 1.245 Order of pole (six term test) = -11.71 TOP MAIN SOLVE Loop x[1] = 4.999999999999939 y[1] (analytic) = -11.72651903946879 y[1] (numeric) = -11.72651903946869 absolute error = 9.769962616701378e-14 relative error = 8.331511323878735e-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 = 2.309 Order of pole (six term test) = -11.93 Finished! diff ( y , x , 1 ) = cosh(sqrt(0.1 * x + 0.2)); Iterations = 601 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.3 %