##############ECHO OF PROBLEM################# ##############temp/add_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 + sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-0.5); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_h=c(0.001); glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(2.0) - c(cos(c(x))) + c(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -0.5 y[1] (closed_form) = 0.6224174381096272 y[1] (numeric) = 0.6224174381096272 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4207 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.49 y[1] (closed_form) = 0.6276671413898784 y[1] (numeric) = 0.6276671413898784 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4152 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.48 y[1] (closed_form) = 0.6330050772207159 y[1] (numeric) = 0.6330050772207159 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4096 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.47 y[1] (closed_form) = 0.6384317118046712 y[1] (numeric) = 0.6384317118046711 absolute error = 1.110223024625157e-16 relative error = 1.738984771741461e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4038 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.46 y[1] (closed_form) = 0.6439475024744747 y[1] (numeric) = 0.6439475024744747 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.45 y[1] (closed_form) = 0.6495528976473233 y[1] (numeric) = 0.6495528976473232 absolute error = 1.110223024625157e-16 relative error = 1.709211102970024e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3917 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999999 y[1] (closed_form) = 0.6552483367800366 y[1] (numeric) = 0.6552483367800366 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3854 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999999 y[1] (closed_form) = 0.661034250325115 y[1] (numeric) = 0.6610342503251148 absolute error = 2.220446049250313e-16 relative error = 3.359048412632532e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3789 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999999 y[1] (closed_form) = 0.6669110596876919 y[1] (numeric) = 0.6669110596876917 absolute error = 2.220446049250313e-16 relative error = 3.329448532897515e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3723 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099999999999999 y[1] (closed_form) = 0.6728791771833948 y[1] (numeric) = 0.672879177183395 absolute error = 1.110223024625157e-16 relative error = 1.649958955889287e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3656 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999999 y[1] (closed_form) = 0.678939005997115 y[1] (numeric) = 0.6789390059971151 absolute error = 1.110223024625157e-16 relative error = 1.635232347557704e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3587 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999999 y[1] (closed_form) = 0.685090940142687 y[1] (numeric) = 0.6850909401426871 absolute error = 1.110223024625157e-16 relative error = 1.620548396675521e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3516 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3799999999999999 y[1] (closed_form) = 0.6913353644234899 y[1] (numeric) = 0.6913353644234898 absolute error = 1.110223024625157e-16 relative error = 1.605910939549549e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (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) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699999999999999 y[1] (closed_form) = 0.6976726543939658 y[1] (numeric) = 0.6976726543939655 absolute error = 2.220446049250313e-16 relative error = 3.182647385225534e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3371 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999999 y[1] (closed_form) = 0.7041031763220653 y[1] (numeric) = 0.7041031763220652 absolute error = 1.110223024625157e-16 relative error = 1.576790251713517e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3297 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999999 y[1] (closed_form) = 0.7106272871526211 y[1] (numeric) = 0.710627287152621 absolute error = 1.110223024625157e-16 relative error = 1.562314091643816e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3221 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399999999999999 y[1] (closed_form) = 0.7172453344716538 y[1] (numeric) = 0.7172453344716536 absolute error = 2.220446049250313e-16 relative error = 3.095797131794473e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (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) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299999999999998 y[1] (closed_form) = 0.7239576564716133 y[1] (numeric) = 0.7239576564716129 absolute error = 3.33066907387547e-16 relative error = 4.600640719939768e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3066 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3199999999999998 y[1] (closed_form) = 0.7307645819175592 y[1] (numeric) = 0.7307645819175591 absolute error = 1.110223024625157e-16 relative error = 1.519262224931429e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2986 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099999999999998 y[1] (closed_form) = 0.7376664301142866 y[1] (numeric) = 0.7376664301142867 absolute error = 1.110223024625157e-16 relative error = 1.50504751104527e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2905 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999999999999998 y[1] (closed_form) = 0.744663510874394 y[1] (numeric) = 0.744663510874394 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2823 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999998 y[1] (closed_form) = 0.751756124487303 y[1] (numeric) = 0.751756124487303 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.274 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999998 y[1] (closed_form) = 0.7589445616892292 y[1] (numeric) = 0.7589445616892294 absolute error = 2.220446049250313e-16 relative error = 2.925702562922555e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2656 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699999999999998 y[1] (closed_form) = 0.7662291036341096 y[1] (numeric) = 0.7662291036341098 absolute error = 2.220446049250313e-16 relative error = 2.897887901567653e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2571 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599999999999998 y[1] (closed_form) = 0.7736100218654869 y[1] (numeric) = 0.7736100218654871 absolute error = 2.220446049250313e-16 relative error = 2.870239508914219e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2484 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499999999999998 y[1] (closed_form) = 0.7810875782893554 y[1] (numeric) = 0.7810875782893557 absolute error = 3.33066907387547e-16 relative error = 4.264142928978467e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2397 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399999999999998 y[1] (closed_form) = 0.7886620251479706 y[1] (numeric) = 0.7886620251479708 absolute error = 2.220446049250313e-16 relative error = 2.815459573869691e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2309 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2299999999999998 y[1] (closed_form) = 0.7963336049946255 y[1] (numeric) = 0.7963336049946255 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.222 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199999999999998 y[1] (closed_form) = 0.8041025506693948 y[1] (numeric) = 0.8041025506693948 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.213 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999997 y[1] (closed_form) = 0.8119690852758519 y[1] (numeric) = 0.8119690852758523 absolute error = 4.440892098500626e-16 relative error = 5.469287167493468e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2039 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999997 y[1] (closed_form) = 0.8199334221587584 y[1] (numeric) = 0.819933422158759 absolute error = 5.551115123125783e-16 relative error = 6.770202278753989e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1947 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899999999999997 y[1] (closed_form) = 0.8279957648827299 y[1] (numeric) = 0.8279957648827303 absolute error = 4.440892098500626e-16 relative error = 5.363423687474532e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1855 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799999999999997 y[1] (closed_form) = 0.8361563072118789 y[1] (numeric) = 0.8361563072118792 absolute error = 2.220446049250313e-16 relative error = 2.655539436943648e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1699999999999997 y[1] (closed_form) = 0.8444152330904395 y[1] (numeric) = 0.8444152330904401 absolute error = 5.551115123125783e-16 relative error = 6.573916369094257e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1667 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599999999999997 y[1] (closed_form) = 0.8527727166243733 y[1] (numeric) = 0.8527727166243737 absolute error = 4.440892098500626e-16 relative error = 5.207591673522943e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1573 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499999999999997 y[1] (closed_form) = 0.861228922063958 y[1] (numeric) = 0.8612289220639583 absolute error = 3.33066907387547e-16 relative error = 3.867344661270122e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1478 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399999999999997 y[1] (closed_form) = 0.869784003787363 y[1] (numeric) = 0.8697840037873632 absolute error = 2.220446049250313e-16 relative error = 2.55287064326507e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1382 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299999999999997 y[1] (closed_form) = 0.8784381062852122 y[1] (numeric) = 0.8784381062852124 absolute error = 1.110223024625157e-16 relative error = 1.263860272774515e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1285 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999997 y[1] (closed_form) = 0.8871913641461342 y[1] (numeric) = 0.8871913641461342 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1189 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999997 y[1] (closed_form) = 0.8960439020433035 y[1] (numeric) = 0.8960439020433035 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09999999999999964 y[1] (closed_form) = 0.9049958347219746 y[1] (numeric) = 0.9049958347219746 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08999999999999964 y[1] (closed_form) = 0.9140472669880062 y[1] (numeric) = 0.9140472669880062 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08951 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07999999999999963 y[1] (closed_form) = 0.9231982936973808 y[1] (numeric) = 0.9231982936973812 absolute error = 3.33066907387547e-16 relative error = 3.607750465543261e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07966 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06999999999999962 y[1] (closed_form) = 0.9324489997467207 y[1] (numeric) = 0.9324489997467209 absolute error = 2.220446049250313e-16 relative error = 2.381305626209528e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06977 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05999999999999961 y[1] (closed_form) = 0.9417994600647961 y[1] (numeric) = 0.9417994600647963 absolute error = 2.220446049250313e-16 relative error = 2.357663327920729e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05986 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.0499999999999996 y[1] (closed_form) = 0.9512497396050341 y[1] (numeric) = 0.9512497396050342 absolute error = 1.110223024625157e-16 relative error = 1.167120450499287e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04992 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03999999999999959 y[1] (closed_form) = 0.9607998933390225 y[1] (numeric) = 0.9607998933390225 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03996 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02999999999999958 y[1] (closed_form) = 0.9704499662510129 y[1] (numeric) = 0.9704499662510129 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02998 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01999999999999957 y[1] (closed_form) = 0.9801999933334227 y[1] (numeric) = 0.9801999933334227 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01999 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009999999999999565 y[1] (closed_form) = 0.9900499995833352 y[1] (numeric) = 0.9900499995833352 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009999 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = -2.106816075710029e-09 y[1] (closed_form) = 0.9999999978931839 y[1] (numeric) = 0.9999999978931837 absolute error = 2.220446049250313e-16 relative error = 2.220446053928384e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01004785451219469 y[1] (closed_form) = 1.010098333777645 y[1] (numeric) = 1.010098333777645 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02009571113120549 y[1] (closed_form) = 1.020297623139031 y[1] (numeric) = 1.020297623139031 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03014356775021629 y[1] (closed_form) = 1.030597850688907 y[1] (numeric) = 1.030597850688907 absolute error = 2.220446049250313e-16 relative error = 2.15452229767998e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04002670540825971 y[1] (closed_form) = 1.040827667035081 y[1] (numeric) = 1.04082766703508 absolute error = 8.881784197001252e-16 relative error = 8.533385956487924e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05007456202727051 y[1] (closed_form) = 1.051328030956757 y[1] (numeric) = 1.051328030956757 absolute error = 4.440892098500626e-16 relative error = 4.224078468124939e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06012241864628131 y[1] (closed_form) = 1.061929226903236 y[1] (numeric) = 1.061929226903236 absolute error = 6.661338147750939e-16 relative error = 6.272864498867328e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07000555630432441 y[1] (closed_form) = 1.072454944690188 y[1] (numeric) = 1.072454944690188 absolute error = 2.220446049250313e-16 relative error = 2.070432944753458e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08005341292333479 y[1] (closed_form) = 1.083255976520044 y[1] (numeric) = 1.083255976520043 absolute error = 6.661338147750939e-16 relative error = 6.149366624452392e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09010126954234517 y[1] (closed_form) = 1.094157643596886 y[1] (numeric) = 1.094157643596886 absolute error = 4.440892098500626e-16 relative error = 4.058731504083663e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09998440720038816 y[1] (closed_form) = 1.104978685360863 y[1] (numeric) = 1.104978685360862 absolute error = 8.881784197001252e-16 relative error = 8.037968799462092e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100322638193985 y[1] (closed_form) = 1.116079708247304 y[1] (numeric) = 1.116079708247304 absolute error = 6.661338147750939e-16 relative error = 5.968514702423834e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200801204384089 y[1] (closed_form) = 1.127281079165624 y[1] (numeric) = 1.127281079165624 absolute error = 2.220446049250313e-16 relative error = 1.969735933910834e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1301279770574197 y[1] (closed_form) = 1.138582681658663 y[1] (numeric) = 1.138582681658664 absolute error = 6.661338147750939e-16 relative error = 5.85055284526798e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400111147154636 y[1] (closed_form) = 1.149796669546005 y[1] (numeric) = 1.149796669546005 absolute error = 2.220446049250313e-16 relative error = 1.931164098889809e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500589713344748 y[1] (closed_form) = 1.161296707683805 y[1] (numeric) = 1.161296707683805 absolute error = 4.440892098500626e-16 relative error = 3.824080503386547e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.160106827953486 y[1] (closed_form) = 1.172896569849016 y[1] (numeric) = 1.172896569849014 absolute error = 1.332267629550188e-15 relative error = 1.135878187214485e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1699899656115298 y[1] (closed_form) = 1.184403501110175 y[1] (numeric) = 1.184403501110173 absolute error = 1.77635683940025e-15 relative error = 1.499790263820751e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800378222305411 y[1] (closed_form) = 1.196200901443922 y[1] (numeric) = 1.196200901443919 absolute error = 3.108624468950438e-15 relative error = 2.598747806658604e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900856788495523 y[1] (closed_form) = 1.208097628549492 y[1] (numeric) = 1.208097628549488 absolute error = 3.774758283725532e-15 relative error = 3.124547383027077e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2001335354685635 y[1] (closed_form) = 1.220093495767557 y[1] (numeric) = 1.220093495767553 absolute error = 4.440892098500626e-15 relative error = 3.639796551580561e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100166731266074 y[1] (closed_form) = 1.231989234216705 y[1] (numeric) = 1.231989234216699 absolute error = 5.329070518200751e-15 relative error = 4.325582050714071e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200645297456186 y[1] (closed_form) = 1.244181164748929 y[1] (numeric) = 1.244181164748923 absolute error = 5.551115123125783e-15 relative error = 4.461661436777961e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2301123863646298 y[1] (closed_form) = 1.25647161907333 y[1] (numeric) = 1.256471619073324 absolute error = 5.995204332975845e-15 relative error = 4.771460208068539e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2399955240226736 y[1] (closed_form) = 1.268656485228808 y[1] (numeric) = 1.268656485228801 absolute error = 6.439293542825908e-15 relative error = 5.075679364587454e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500433806416849 y[1] (closed_form) = 1.281141692385233 y[1] (numeric) = 1.281141692385227 absolute error = 6.217248937900877e-15 relative error = 4.852897204778018e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600912372606944 y[1] (closed_form) = 1.293724718473711 y[1] (numeric) = 1.293724718473706 absolute error = 5.329070518200751e-15 relative error = 4.11916881706318e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2701390938797039 y[1] (closed_form) = 1.306405307547151 y[1] (numeric) = 1.306405307547147 absolute error = 4.218847493575595e-15 relative error = 3.229355751391362e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800222315377461 y[1] (closed_form) = 1.318972937275504 y[1] (numeric) = 1.318972937275501 absolute error = 3.108624468950438e-15 relative error = 2.356852351627224e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900700881567556 y[1] (closed_form) = 1.331846256862034 y[1] (numeric) = 1.331846256862034 absolute error = 8.881784197001252e-16 relative error = 6.668775882531398e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3001179447757651 y[1] (closed_form) = 1.344816317359416 y[1] (numeric) = 1.344816317359417 absolute error = 1.77635683940025e-15 relative error = 1.320891795013446e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100010824338073 y[1] (closed_form) = 1.357667842754433 y[1] (numeric) = 1.357667842754436 absolute error = 2.886579864025407e-15 relative error = 2.126131129517748e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200489390528168 y[1] (closed_form) = 1.370828916696618 y[1] (numeric) = 1.370828916696623 absolute error = 4.662936703425657e-15 relative error = 3.401545332631486e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300967956718264 y[1] (closed_form) = 1.38408582253795 y[1] (numeric) = 1.384085822537956 absolute error = 5.773159728050814e-15 relative error = 4.171099533022289e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3401446522908359 y[1] (closed_form) = 1.397438236297398 y[1] (numeric) = 1.397438236297405 absolute error = 6.883382752675971e-15 relative error = 4.925715193620245e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500277899488781 y[1] (closed_form) = 1.410664606576768 y[1] (numeric) = 1.410664606576776 absolute error = 8.215650382226158e-15 relative error = 5.823957263777191e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600756465678876 y[1] (closed_form) = 1.424205473904419 y[1] (numeric) = 1.424205473904429 absolute error = 1.021405182655144e-14 relative error = 7.171754366699563e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3701235031868971 y[1] (closed_form) = 1.43784082534944 y[1] (numeric) = 1.437840825349451 absolute error = 1.154631945610163e-14 relative error = 8.030318274830953e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800066408449393 y[1] (closed_form) = 1.451344468514228 y[1] (numeric) = 1.451344468514242 absolute error = 1.376676550535194e-14 relative error = 9.485525872052459e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900544974639488 y[1] (closed_form) = 1.46516615828455 y[1] (numeric) = 1.465166158284565 absolute error = 1.465494392505207e-14 relative error = 1.000224025253928e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4001023540829584 y[1] (closed_form) = 1.479081223462 y[1] (numeric) = 1.479081223462017 absolute error = 1.687538997430238e-14 relative error = 1.140937340466207e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4099854917410005 y[1] (closed_form) = 1.492858885893548 y[1] (numeric) = 1.492858885893566 absolute error = 1.820765760385257e-14 relative error = 1.219650281476833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200333483600101 y[1] (closed_form) = 1.506958006697815 y[1] (numeric) = 1.506958006697834 absolute error = 1.909583602355269e-14 relative error = 1.267177714221596e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300812049790196 y[1] (closed_form) = 1.521149310285836 y[1] (numeric) = 1.521149310285855 absolute error = 1.953992523340276e-14 relative error = 1.284550116236193e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4401290615980291 y[1] (closed_form) = 1.535432378341115 y[1] (numeric) = 1.535432378341136 absolute error = 2.020605904817785e-14 relative error = 1.315984952069887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500121992560713 y[1] (closed_form) = 1.54957040322633 y[1] (numeric) = 1.549570403226353 absolute error = 2.242650509742816e-14 relative error = 1.447272421487554e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600600558750808 y[1] (closed_form) = 1.564034221657494 y[1] (numeric) = 1.564034221657518 absolute error = 2.464695114667848e-14 relative error = 1.575857535940533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4701079124940903 y[1] (closed_form) = 1.578588501578465 y[1] (numeric) = 1.578588501578491 absolute error = 2.620126338115369e-14 relative error = 1.659790588551385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4799910501521325 y[1] (closed_form) = 1.592991994555003 y[1] (numeric) = 1.592991994555031 absolute error = 2.819966482547898e-14 relative error = 1.770232676740881e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.490038906771142 y[1] (closed_form) = 1.607724359362551 y[1] (numeric) = 1.607724359362582 absolute error = 3.130828929442941e-14 relative error = 1.947366730628059e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000867633901516 y[1] (closed_form) = 1.622545801387952 y[1] (numeric) = 1.622545801387985 absolute error = 3.26405569239796e-14 relative error = 2.011687860894795e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5101346200091611 y[1] (closed_form) = 1.637455838696836 y[1] (numeric) = 1.63745583869687 absolute error = 3.463895836830488e-14 relative error = 2.115413286252177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200177576672033 y[1] (closed_form) = 1.652207401558508 y[1] (numeric) = 1.652207401558544 absolute error = 3.68594044175552e-14 relative error = 2.230918732284225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300656142862128 y[1] (closed_form) = 1.667291715838061 y[1] (numeric) = 1.667291715838101 absolute error = 3.930189507173054e-14 relative error = 2.357229673631258e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5401134709052223 y[1] (closed_form) = 1.68246313453943 y[1] (numeric) = 1.682463134539471 absolute error = 4.130029651605582e-14 relative error = 2.454751944824139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5499966085632645 y[1] (closed_form) = 1.697470313847992 y[1] (numeric) = 1.697470313848036 absolute error = 4.374278717023117e-14 relative error = 2.576939744593867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.560044465182274 y[1] (closed_form) = 1.712812974297538 y[1] (numeric) = 1.712812974297583 absolute error = 4.507505479978136e-14 relative error = 2.631639033343241e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700923218012836 y[1] (closed_form) = 1.728241170029607 y[1] (numeric) = 1.728241170029653 absolute error = 4.640732242933154e-14 relative error = 2.685234169519091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5801401784202931 y[1] (closed_form) = 1.743754357852838 y[1] (numeric) = 1.743754357852886 absolute error = 4.840572387365683e-14 relative error = 2.775948553514208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900233160783352 y[1] (closed_form) = 1.75909560936123 y[1] (numeric) = 1.759095609361281 absolute error = 5.129230373768223e-14 relative error = 2.915833765073617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000711726973448 y[1] (closed_form) = 1.77477574700589 y[1] (numeric) = 1.774775747005944 absolute error = 5.351274978693255e-14 relative error = 3.015183742352264e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6101190293163543 y[1] (closed_form) = 1.790539205299229 y[1] (numeric) = 1.790539205299284 absolute error = 5.551115123125783e-14 relative error = 3.100247739170894e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200021669743965 y[1] (closed_form) = 1.80612496940209 y[1] (numeric) = 1.806124969402147 absolute error = 5.750955267558311e-14 relative error = 3.184140280980746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.630050023593406 y[1] (closed_form) = 1.822051987430058 y[1] (numeric) = 1.822051987430118 absolute error = 6.017408793468348e-14 relative error = 3.302545061821039e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400978802124155 y[1] (closed_form) = 1.838060579786937 y[1] (numeric) = 1.838060579787 absolute error = 6.217248937900877e-14 relative error = 3.382504911030496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6501457368314251 y[1] (closed_form) = 1.854150144685351 y[1] (numeric) = 1.854150144685415 absolute error = 6.394884621840902e-14 relative error = 3.448957270354236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600288744894672 y[1] (closed_form) = 1.870054346757507 y[1] (numeric) = 1.870054346757571 absolute error = 6.461498003318411e-14 relative error = 3.455246107965805e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700767311084768 y[1] (closed_form) = 1.886302716478153 y[1] (numeric) = 1.88630271647822 absolute error = 6.683542608243442e-14 relative error = 3.543197255593227e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6801245877274863 y[1] (closed_form) = 1.902630214905059 y[1] (numeric) = 1.902630214905128 absolute error = 6.861178292183467e-14 relative error = 3.606154384826607e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900077253855285 y[1] (closed_form) = 1.918766627906572 y[1] (numeric) = 1.918766627906643 absolute error = 7.083222897108499e-14 relative error = 3.691549974910962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.700055582004538 y[1] (closed_form) = 1.935249202811883 y[1] (numeric) = 1.935249202811956 absolute error = 7.283063041541027e-14 relative error = 3.763372195662897e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7101034386235475 y[1] (closed_form) = 1.95180899147804 y[1] (numeric) = 1.951808991478116 absolute error = 7.549516567451064e-14 relative error = 3.867958699039533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7199865762815897 y[1] (closed_form) = 1.96817199581427 y[1] (numeric) = 1.968171995814348 absolute error = 7.771561172376096e-14 relative error = 3.948618915879276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300344329005992 y[1] (closed_form) = 1.984882993253328 y[1] (numeric) = 1.984882993253408 absolute error = 8.01581023779363e-14 relative error = 4.038429602671589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400822895196087 y[1] (closed_form) = 2.001669220118578 y[1] (numeric) = 2.00166922011866 absolute error = 8.215650382226158e-14 relative error = 4.104399617904634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7501301461386183 y[1] (closed_form) = 2.018529996113776 y[1] (numeric) = 2.018529996113859 absolute error = 8.348877145181177e-14 relative error = 4.136117452430758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600132837966604 y[1] (closed_form) = 2.035186424612099 y[1] (numeric) = 2.035186424612184 absolute error = 8.570921750106208e-14 relative error = 4.211369359806832e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.77006114041567 y[1] (closed_form) = 2.052193034144381 y[1] (numeric) = 2.052193034144469 absolute error = 8.79296635503124e-14 relative error = 4.28466825914224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7801089970346795 y[1] (closed_form) = 2.069272118616446 y[1] (numeric) = 2.069272118616536 absolute error = 8.970602038971265e-14 relative error = 4.335148556956915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7899921346927217 y[1] (closed_form) = 2.086141231915493 y[1] (numeric) = 2.086141231915584 absolute error = 9.103828801926284e-14 relative error = 4.36395612274398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000399913117312 y[1] (closed_form) = 2.103361970532735 y[1] (numeric) = 2.103361970532829 absolute error = 9.414691248821327e-14 relative error = 4.47602047613174e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100878479307407 y[1] (closed_form) = 2.120653044768961 y[1] (numeric) = 2.120653044769058 absolute error = 9.681144774731365e-14 relative error = 4.565171468577546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8201357045497503 y[1] (closed_form) = 2.138013723359256 y[1] (numeric) = 2.138013723359353 absolute error = 9.725553695716371e-14 relative error = 4.548873372260465e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300188422077924 y[1] (closed_form) = 2.155156986512555 y[1] (numeric) = 2.155156986512655 absolute error = 9.947598300641403e-14 relative error = 4.615718652003382e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.840066698826802 y[1] (closed_form) = 2.172653541292627 y[1] (numeric) = 2.172653541292729 absolute error = 1.016964290556643e-13 relative error = 4.68074762601863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8501145554458115 y[1] (closed_form) = 2.190217477152844 y[1] (numeric) = 2.190217477152948 absolute error = 1.034727858950646e-13 relative error = 4.724315597626095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8599976931038537 y[1] (closed_form) = 2.20755847667745 y[1] (numeric) = 2.207558476677556 absolute error = 1.06137321154165e-13 relative error = 4.807905306948426e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700455497228632 y[1] (closed_form) = 2.225253818123043 y[1] (numeric) = 2.225253818123154 absolute error = 1.101341240428155e-13 relative error = 4.949283679275357e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800934063418727 y[1] (closed_form) = 2.243014256821895 y[1] (numeric) = 2.243014256822007 absolute error = 1.119104808822158e-13 relative error = 4.989289771201928e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8901412629608823 y[1] (closed_form) = 2.260839014122723 y[1] (numeric) = 2.260839014122836 absolute error = 1.13686837721616e-13 relative error = 5.028524234209136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000244006189244 y[1] (closed_form) = 2.278433546194723 y[1] (numeric) = 2.278433546194839 absolute error = 1.159072837708663e-13 relative error = 5.087147876858046e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100722572379339 y[1] (closed_form) = 2.296383556710858 y[1] (numeric) = 2.296383556710976 absolute error = 1.176836406102666e-13 relative error = 5.124737993631452e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9201201138569435 y[1] (closed_form) = 2.31439552436261 y[1] (numeric) = 2.314395524362732 absolute error = 1.212363542890671e-13 relative error = 5.238359347521459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300032515149856 y[1] (closed_form) = 2.332171875710098 y[1] (numeric) = 2.332171875710221 absolute error = 1.234568003383174e-13 relative error = 5.293640731377372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400511081339952 y[1] (closed_form) = 2.350304356660759 y[1] (numeric) = 2.350304356660885 absolute error = 1.261213355974178e-13 relative error = 5.366170353213622e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500989647530047 y[1] (closed_form) = 2.36849637760202 y[1] (numeric) = 2.368496377602149 absolute error = 1.287858708565182e-13 relative error = 5.437452726311837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9601468213720142 y[1] (closed_form) = 2.386747116310672 y[1] (numeric) = 2.386747116310802 absolute error = 1.301181384860683e-13 relative error = 5.451693545447714e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700299590300564 y[1] (closed_form) = 2.404755140899268 y[1] (numeric) = 2.4047551408994 absolute error = 1.323385845353187e-13 relative error = 5.503204142681658e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800778156490659 y[1] (closed_form) = 2.423119896261178 y[1] (numeric) = 2.423119896261313 absolute error = 1.35003119794419e-13 relative error = 5.57145851522766e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9901256722680755 y[1] (closed_form) = 2.441540881299984 y[1] (numeric) = 2.441540881300121 absolute error = 1.367794766338193e-13 relative error = 5.602178430901057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000008809926118 y[1] (closed_form) = 2.459713917376152 y[1] (numeric) = 2.45971391737629 absolute error = 1.385558334732195e-13 relative error = 5.633006037589162e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010056666545134 y[1] (closed_form) = 2.478243933059625 y[1] (numeric) = 2.478243933059753 absolute error = 1.283417816466681e-13 relative error = 5.178738861602622e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.02010452316415 y[1] (closed_form) = 2.496827639797901 y[1] (numeric) = 2.496827639798019 absolute error = 1.172395514004165e-13 relative error = 4.695540434257054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029987660822199 y[1] (closed_form) = 2.51515823752678 y[1] (numeric) = 2.515158237526888 absolute error = 1.079136779935652e-13 relative error = 4.290532356313276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040035517441215 y[1] (closed_form) = 2.533845890919171 y[1] (numeric) = 2.533845890919268 absolute error = 9.681144774731365e-14 relative error = 3.820731485457255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050083374060232 y[1] (closed_form) = 2.552584648494045 y[1] (numeric) = 2.552584648494131 absolute error = 8.615330671091215e-14 relative error = 3.375140047235662e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060131230679248 y[1] (closed_form) = 2.571373632830439 y[1] (numeric) = 2.571373632830515 absolute error = 7.593925488436071e-14 relative error = 2.953256341855329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070014368337297 y[1] (closed_form) = 2.589902743271045 y[1] (numeric) = 2.589902743271112 absolute error = 6.661338147750939e-14 relative error = 2.572041813175453e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080062224956313 y[1] (closed_form) = 2.60878874148102 y[1] (numeric) = 2.608788741481076 absolute error = 5.551115123125783e-14 relative error = 2.127851533112026e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09011008157533 y[1] (closed_form) = 2.627722318789492 y[1] (numeric) = 2.627722318789537 absolute error = 4.485301019485632e-14 relative error = 1.706915904855528e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.099993219233378 y[1] (closed_form) = 2.646391054749109 y[1] (numeric) = 2.646391054749144 absolute error = 3.508304757815495e-14 relative error = 1.325694005623103e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110041075852395 y[1] (closed_form) = 2.665416351072802 y[1] (numeric) = 2.665416351072828 absolute error = 2.531308496145357e-14 relative error = 9.49685963743162e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120088932471411 y[1] (closed_form) = 2.684486536074337 y[1] (numeric) = 2.684486536074351 absolute error = 1.465494392505207e-14 relative error = 5.459123645478494e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130136789090427 y[1] (closed_form) = 2.703600698872311 y[1] (numeric) = 2.703600698872315 absolute error = 4.440892098500626e-15 relative error = 1.642584313709103e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140019926748476 y[1] (closed_form) = 2.722443528984159 y[1] (numeric) = 2.722443528984154 absolute error = 5.329070518200751e-15 relative error = 1.957458607117268e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150067783367492 y[1] (closed_form) = 2.741642213635299 y[1] (numeric) = 2.741642213635284 absolute error = 1.554312234475219e-14 relative error = 5.669274520012106e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160115639986509 y[1] (closed_form) = 2.760882132349234 y[1] (numeric) = 2.760882132349208 absolute error = 2.575717417130363e-14 relative error = 9.329327706354077e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169998777644558 y[1] (closed_form) = 2.779845967852115 y[1] (numeric) = 2.779845967852077 absolute error = 3.819167204710538e-14 relative error = 1.373877275531734e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180046634263574 y[1] (closed_form) = 2.79916492863137 y[1] (numeric) = 2.79916492863132 absolute error = 4.973799150320701e-14 relative error = 1.776886777712166e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19009449088259 y[1] (closed_form) = 2.818522342684199 y[1] (numeric) = 2.818522342684137 absolute error = 6.217248937900877e-14 relative error = 2.205854054710074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200142347501606 y[1] (closed_form) = 2.837917270130965 y[1] (numeric) = 2.837917270130892 absolute error = 7.283063041541027e-14 relative error = 2.566340857852042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210025485159655 y[1] (closed_form) = 2.85702992837814 y[1] (numeric) = 2.857029928378057 absolute error = 8.260059303211165e-14 relative error = 2.891135028431495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220073341778672 y[1] (closed_form) = 2.876496471603943 y[1] (numeric) = 2.87649647160385 absolute error = 9.325873406851315e-14 relative error = 3.242094505908147e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230121198397688 y[1] (closed_form) = 2.895997701860356 y[1] (numeric) = 2.895997701860253 absolute error = 1.030286966852145e-13 relative error = 3.557623565068096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240004336055737 y[1] (closed_form) = 2.91521215259215 y[1] (numeric) = 2.915212152592036 absolute error = 1.141309269314661e-13 relative error = 3.915012731748634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250052192674753 y[1] (closed_form) = 2.934779360754527 y[1] (numeric) = 2.934779360754402 absolute error = 1.247890679678676e-13 relative error = 4.252076651369953e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260100049293769 y[1] (closed_form) = 2.954378398412194 y[1] (numeric) = 2.95437839841206 absolute error = 1.336708521648688e-13 relative error = 4.52450005174385e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270147905912786 y[1] (closed_form) = 2.974008301291543 y[1] (numeric) = 2.974008301291399 absolute error = 1.443289932012704e-13 relative error = 4.85301245254062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280031043570834 y[1] (closed_form) = 2.993345574310248 y[1] (numeric) = 2.993345574310094 absolute error = 1.540989558179717e-13 relative error = 5.148050968137233e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290078900189851 y[1] (closed_form) = 3.013033836064768 y[1] (numeric) = 3.013033836064603 absolute error = 1.652011860642233e-13 relative error = 5.482885193217331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300126756808867 y[1] (closed_form) = 3.032750067893685 y[1] (numeric) = 3.032750067893509 absolute error = 1.754152378907747e-13 relative error = 5.784032114872054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310009894466916 y[1] (closed_form) = 3.052169421831906 y[1] (numeric) = 3.052169421831721 absolute error = 1.851852005074761e-13 relative error = 6.067330312100706e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320057751085932 y[1] (closed_form) = 3.071938244196375 y[1] (numeric) = 3.071938244196179 absolute error = 1.958433415438776e-13 relative error = 6.375236934332013e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330105607704948 y[1] (closed_form) = 3.091732116352252 y[1] (numeric) = 3.091732116352047 absolute error = 2.051692149507289e-13 relative error = 6.63606053919043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339988745362997 y[1] (closed_form) = 3.111224981353881 y[1] (numeric) = 3.111224981353664 absolute error = 2.171596236166806e-13 relative error = 6.979875287648963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350036601982014 y[1] (closed_form) = 3.13106562844446 y[1] (numeric) = 3.131065628444233 absolute error = 2.26929586233382e-13 relative error = 7.247679006527965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36008445860103 y[1] (closed_form) = 3.150928382532107 y[1] (numeric) = 3.15092838253187 absolute error = 2.371436380599334e-13 relative error = 7.526151320182125e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370132315220046 y[1] (closed_form) = 3.170812252718779 y[1] (numeric) = 3.17081225271853 absolute error = 2.491340467258851e-13 relative error = 7.857104958272688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380015452878095 y[1] (closed_form) = 3.190389794065815 y[1] (numeric) = 3.190389794065554 absolute error = 2.606803661819868e-13 relative error = 8.17079990247139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390063309497111 y[1] (closed_form) = 3.210312609788318 y[1] (numeric) = 3.210312609788045 absolute error = 2.726707748479384e-13 relative error = 8.493589503295066e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400111166116128 y[1] (closed_form) = 3.230253572885002 y[1] (numeric) = 3.230253572884719 absolute error = 2.828848266744899e-13 relative error = 8.757356668499557e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409994303774176 y[1] (closed_form) = 3.249884369476857 y[1] (numeric) = 3.249884369476563 absolute error = 2.939870569207415e-13 relative error = 9.04607744453583e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420042160393193 y[1] (closed_form) = 3.26985837256206 y[1] (numeric) = 3.269858372561754 absolute error = 3.055333763768431e-13 relative error = 9.343933025987481e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430090017012209 y[1] (closed_form) = 3.289847537988206 y[1] (numeric) = 3.289847537987891 absolute error = 3.153033389935445e-13 relative error = 9.584132253932882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440137873631225 y[1] (closed_form) = 3.309850862094942 y[1] (numeric) = 3.309850862094616 absolute error = 3.26405569239796e-13 relative error = 9.861639778935549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450021011289274 y[1] (closed_form) = 3.329539100128327 y[1] (numeric) = 3.329539100127987 absolute error = 3.392841563254478e-13 relative error = 1.019012380159077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.46006886790829 y[1] (closed_form) = 3.349567533985676 y[1] (numeric) = 3.349567533985325 absolute error = 3.503863865716994e-13 relative error = 1.046064553159709e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470116724527307 y[1] (closed_form) = 3.369607123900039 y[1] (numeric) = 3.369607123899679 absolute error = 3.597122599785507e-13 relative error = 1.06751988214642e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999862185356 y[1] (closed_form) = 3.389328100474082 y[1] (numeric) = 3.389328100473712 absolute error = 3.703704010149522e-13 relative error = 1.092754640552936e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490047718804372 y[1] (closed_form) = 3.409386833575243 y[1] (numeric) = 3.40938683357486 absolute error = 3.82804898890754e-13 relative error = 1.122796906238201e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500095575423388 y[1] (closed_form) = 3.429453710084293 y[1] (numeric) = 3.429453710083898 absolute error = 3.952393967665557e-13 relative error = 1.152485002507414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510143432042405 y[1] (closed_form) = 3.449527718495278 y[1] (numeric) = 3.449527718494871 absolute error = 4.067857162226574e-13 relative error = 1.179250463886986e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520026569700453 y[1] (closed_form) = 3.469278620214158 y[1] (numeric) = 3.46927862021374 absolute error = 4.18776124888609e-13 relative error = 1.207098566395218e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.53007442631947 y[1] (closed_form) = 3.489363779583468 y[1] (numeric) = 3.489363779583037 absolute error = 4.312106227644108e-13 relative error = 1.235785805101368e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540122282938486 y[1] (closed_form) = 3.509453049041588 y[1] (numeric) = 3.509453049041146 absolute error = 4.423128530106624e-13 relative error = 1.260346973815351e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550005420596535 y[1] (closed_form) = 3.529216012218155 y[1] (numeric) = 3.529216012217702 absolute error = 4.529709940470639e-13 relative error = 1.283489002880178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560053277215551 y[1] (closed_form) = 3.549310434283148 y[1] (numeric) = 3.549310434282683 absolute error = 4.645173135031655e-13 relative error = 1.30875369203084e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570101133834567 y[1] (closed_form) = 3.569405940930235 y[1] (numeric) = 3.569405940929761 absolute error = 4.742872761198669e-13 relative error = 1.328756896718397e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579984271492616 y[1] (closed_form) = 3.58917208691906 y[1] (numeric) = 3.589172086918576 absolute error = 4.836131495267182e-13 relative error = 1.347422574942209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590032128111633 y[1] (closed_form) = 3.609266743191104 y[1] (numeric) = 3.60926674319061 absolute error = 4.938272013532696e-13 relative error = 1.368220296504481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600079984730649 y[1] (closed_form) = 3.629359457563853 y[1] (numeric) = 3.629359457563348 absolute error = 5.044853423896711e-13 relative error = 1.390012062151316e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610127841349665 y[1] (closed_form) = 3.649449215922798 y[1] (numeric) = 3.649449215922283 absolute error = 5.155875726359227e-13 relative error = 1.412781880581811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620010979007714 y[1] (closed_form) = 3.669205766639218 y[1] (numeric) = 3.66920576663869 absolute error = 5.275779813018744e-13 relative error = 1.437853352621065e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63005883562673 y[1] (closed_form) = 3.689286661783639 y[1] (numeric) = 3.689286661783099 absolute error = 5.400124791776761e-13 relative error = 1.463731416621877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640106692245747 y[1] (closed_form) = 3.709361577371234 y[1] (numeric) = 3.709361577370683 absolute error = 5.506706202140776e-13 relative error = 1.4845428484875e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649989829903795 y[1] (closed_form) = 3.729100580493196 y[1] (numeric) = 3.729100580492633 absolute error = 5.622169396701793e-13 relative error = 1.507647561482031e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660037686522812 y[1] (closed_form) = 3.749160640076816 y[1] (numeric) = 3.749160640076243 absolute error = 5.728750807065808e-13 relative error = 1.528008895065225e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670085543141828 y[1] (closed_form) = 3.769211701934203 y[1] (numeric) = 3.76921170193362 absolute error = 5.822009541134321e-13 relative error = 1.544622589956067e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680133399760844 y[1] (closed_form) = 3.789252756156028 y[1] (numeric) = 3.789252756155434 absolute error = 5.937472735695337e-13 relative error = 1.566924435444246e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690016537418893 y[1] (closed_form) = 3.808954526762841 y[1] (numeric) = 3.808954526762238 absolute error = 6.03073146976385e-13 relative error = 1.583303614519456e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700064394037909 y[1] (closed_form) = 3.828972745367655 y[1] (numeric) = 3.828972745367038 absolute error = 6.16839912481737e-13 relative error = 1.610980159699487e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710112250656926 y[1] (closed_form) = 3.84897794956924 y[1] (numeric) = 3.848977949568611 absolute error = 6.288303211476887e-13 relative error = 1.633759219686007e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719995388314975 y[1] (closed_form) = 3.868641528136632 y[1] (numeric) = 3.868641528135993 absolute error = 6.3815619455454e-13 relative error = 1.649561454358668e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730043244933991 y[1] (closed_form) = 3.888617943481561 y[1] (numeric) = 3.888617943480911 absolute error = 6.505906924303417e-13 relative error = 1.673064059998279e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740091101553007 y[1] (closed_form) = 3.908578349351174 y[1] (numeric) = 3.908578349350511 absolute error = 6.634692795159935e-13 relative error = 1.697469566207186e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750138958172023 y[1] (closed_form) = 3.92852174498864 y[1] (numeric) = 3.928521744987963 absolute error = 6.772360450213455e-13 relative error = 1.723895370784829e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760022095830072 y[1] (closed_form) = 3.948120636191935 y[1] (numeric) = 3.948120636191248 absolute error = 6.865619184281968e-13 relative error = 1.738958815327395e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770069952449089 y[1] (closed_form) = 3.968027335676501 y[1] (numeric) = 3.968027335675803 absolute error = 6.981082378842984e-13 relative error = 1.759333237469442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780117809068105 y[1] (closed_form) = 3.987914049666093 y[1] (numeric) = 3.987914049665386 absolute error = 7.078782005009998e-13 relative error = 1.775058819435364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000946726154 y[1] (closed_form) = 4.007454291479291 y[1] (numeric) = 4.007454291478572 absolute error = 7.185363415374013e-13 relative error = 1.792999468678068e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.80004880334517 y[1] (closed_form) = 4.027298424789739 y[1] (numeric) = 4.027298424789013 absolute error = 7.265299473147024e-13 relative error = 1.804013188698907e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810096659964186 y[1] (closed_form) = 4.047119615302639 y[1] (numeric) = 4.047119615301902 absolute error = 7.362999099314038e-13 relative error = 1.819318379292193e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820144516583203 y[1] (closed_form) = 4.066916876316142 y[1] (numeric) = 4.066916876315398 absolute error = 7.442935157087049e-13 relative error = 1.830117355097983e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830027654241251 y[1] (closed_form) = 4.086365292805267 y[1] (numeric) = 4.08636529280451 absolute error = 7.567280135845067e-13 relative error = 1.851836434977689e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840075510860268 y[1] (closed_form) = 4.106112176896254 y[1] (numeric) = 4.106112176895487 absolute error = 7.664979762012081e-13 relative error = 1.866724393244882e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850123367479284 y[1] (closed_form) = 4.125832202305008 y[1] (numeric) = 4.125832202304233 absolute error = 7.753797603982093e-13 relative error = 1.879329362849566e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860006505137333 y[1] (closed_form) = 4.145201799363646 y[1] (numeric) = 4.145201799362858 absolute error = 7.878142582740111e-13 relative error = 1.900545006988449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870054361756349 y[1] (closed_form) = 4.164865660864021 y[1] (numeric) = 4.164865660863224 absolute error = 7.966960424710123e-13 relative error = 1.912897335338624e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880102218375366 y[1] (closed_form) = 4.184499758636265 y[1] (numeric) = 4.184499758635454 absolute error = 8.109068971862143e-13 relative error = 1.937882528282163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.889985356033414 y[1] (closed_form) = 4.203782011123032 y[1] (numeric) = 4.203782011122212 absolute error = 8.197886813832156e-13 relative error = 1.950121769430691e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900033212652431 y[1] (closed_form) = 4.223354208473529 y[1] (numeric) = 4.223354208472696 absolute error = 8.331113576787175e-13 relative error = 1.972629612754725e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910081069271447 y[1] (closed_form) = 4.242893763797589 y[1] (numeric) = 4.242893763796747 absolute error = 8.419931418757187e-13 relative error = 1.984478492155541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920128925890463 y[1] (closed_form) = 4.262399718826854 y[1] (numeric) = 4.262399718826003 absolute error = 8.5087492607272e-13 relative error = 1.99623447400871e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930012063548512 y[1] (closed_form) = 4.28155219908118 y[1] (numeric) = 4.281552199080317 absolute error = 8.624212455288216e-13 relative error = 2.014272407361744e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940059920167528 y[1] (closed_form) = 4.300988682107298 y[1] (numeric) = 4.300988682106425 absolute error = 8.730793865652231e-13 relative error = 2.02995043952883e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950107776786545 y[1] (closed_form) = 4.32038872628057 y[1] (numeric) = 4.32038872627969 absolute error = 8.801848139228241e-13 relative error = 2.037281526471755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.959990914444594 y[1] (closed_form) = 4.339434273156552 y[1] (numeric) = 4.339434273155661 absolute error = 8.917311333789257e-13 relative error = 2.054947896999188e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.97003877106361 y[1] (closed_form) = 4.358759246662354 y[1] (numeric) = 4.358759246661451 absolute error = 9.023892744153272e-13 relative error = 2.070289326271729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980086627682626 y[1] (closed_form) = 4.37804497550355 y[1] (numeric) = 4.378044975502633 absolute error = 9.166001291305292e-13 relative error = 2.093628855480418e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990134484301642 y[1] (closed_form) = 4.397290527037741 y[1] (numeric) = 4.397290527036816 absolute error = 9.254819133275305e-13 relative error = 2.104664014435695e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000017621959691 y[1] (closed_form) = 4.416180482044822 y[1] (numeric) = 4.416180482043884 absolute error = 9.379164112033322e-13 relative error = 2.123818116167773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010065478578707 y[1] (closed_form) = 4.435343593808954 y[1] (numeric) = 4.435343593808007 absolute error = 9.476863738200336e-13 relative error = 2.136669581005755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020113335197724 y[1] (closed_form) = 4.454463770101343 y[1] (numeric) = 4.454463770100384 absolute error = 9.592326932761353e-13 relative error = 2.153419003460234e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029996472855772 y[1] (closed_form) = 4.473227726766389 y[1] (numeric) = 4.473227726765419 absolute error = 9.698908343125368e-13 relative error = 2.168212515783658e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040044329474789 y[1] (closed_form) = 4.492260029900047 y[1] (numeric) = 4.49226002989907 absolute error = 9.769962616701378e-13 relative error = 2.174843520115366e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050092186093805 y[1] (closed_form) = 4.511246677981795 y[1] (numeric) = 4.511246677980804 absolute error = 9.912071163853398e-13 relative error = 2.197191125067845e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060140042712821 y[1] (closed_form) = 4.530186768563999 y[1] (numeric) = 4.530186768562999 absolute error = 1.000088900582341e-12 relative error = 2.207610749124487e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07002318037087 y[1] (closed_form) = 4.548770075933563 y[1] (numeric) = 4.548770075932555 absolute error = 1.008082506359642e-12 relative error = 2.216165006213793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080071036989886 y[1] (closed_form) = 4.567615162832849 y[1] (numeric) = 4.567615162831832 absolute error = 1.016964290556643e-12 relative error = 2.22646666652608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090118893608903 y[1] (closed_form) = 4.5864110279728 y[1] (numeric) = 4.586411027971774 absolute error = 1.025846074753645e-12 relative error = 2.2367076751232e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100002031266952 y[1] (closed_form) = 4.604849889274426 y[1] (numeric) = 4.604849889273391 absolute error = 1.035616037370346e-12 relative error = 2.248968071212252e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110049887885968 y[1] (closed_form) = 4.623545509235401 y[1] (numeric) = 4.623545509234355 absolute error = 1.045385999987047e-12 relative error = 2.261005105062595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120097744504984 y[1] (closed_form) = 4.642189287411079 y[1] (numeric) = 4.642189287410023 absolute error = 1.056044141023449e-12 relative error = 2.274883843895125e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130145601124001 y[1] (closed_form) = 4.660780355969486 y[1] (numeric) = 4.660780355968421 absolute error = 1.06492592522045e-12 relative error = 2.284866146623929e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140028738782049 y[1] (closed_form) = 4.679014395509677 y[1] (numeric) = 4.6790143955086 absolute error = 1.077360423096252e-12 relative error = 2.302537098689342e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150076595401066 y[1] (closed_form) = 4.697498361874173 y[1] (numeric) = 4.697498361873078 absolute error = 1.095123991490254e-12 relative error = 2.331291907153173e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160124452020082 y[1] (closed_form) = 4.715927061318165 y[1] (numeric) = 4.715927061317062 absolute error = 1.103117597267556e-12 relative error = 2.339132015666119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170007589678131 y[1] (closed_form) = 4.733998914673601 y[1] (numeric) = 4.733998914672487 absolute error = 1.113775738303957e-12 relative error = 2.352716505387601e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180055446297147 y[1] (closed_form) = 4.752315487997155 y[1] (numeric) = 4.75231548799603 absolute error = 1.125322057760059e-12 relative error = 2.36794476419393e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190103302916163 y[1] (closed_form) = 4.770574286763377 y[1] (numeric) = 4.77057428676224 absolute error = 1.13686837721616e-12 relative error = 2.383084947174096e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199986440574212 y[1] (closed_form) = 4.78847659502847 y[1] (numeric) = 4.788476595027325 absolute error = 1.144861982993461e-12 relative error = 2.390868912635156e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210034297193229 y[1] (closed_form) = 4.806618344511458 y[1] (numeric) = 4.806618344510301 absolute error = 1.157296480869263e-12 relative error = 2.407714525932244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220082153812245 y[1] (closed_form) = 4.824699863720211 y[1] (numeric) = 4.824699863719041 absolute error = 1.169730978745065e-12 relative error = 2.424463721652342e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230130010431261 y[1] (closed_form) = 4.842720341587617 y[1] (numeric) = 4.842720341586438 absolute error = 1.178612762942066e-12 relative error = 2.433782419398752e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.24001314808931 y[1] (closed_form) = 4.860385072304198 y[1] (numeric) = 4.860385072303011 absolute error = 1.187494547139067e-12 relative error = 2.44321083509563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250061004708326 y[1] (closed_form) = 4.878282092390571 y[1] (numeric) = 4.878282092389371 absolute error = 1.199929045014869e-12 relative error = 2.459736895671918e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260108861327343 y[1] (closed_form) = 4.896115688172253 y[1] (numeric) = 4.896115688171041 absolute error = 1.212363542890671e-12 relative error = 2.476174216674306e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269991998985391 y[1] (closed_form) = 4.913594294062175 y[1] (numeric) = 4.913594294060952 absolute error = 1.223021683927072e-12 relative error = 2.489057115287339e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280039855604408 y[1] (closed_form) = 4.931299761264015 y[1] (numeric) = 4.931299761262784 absolute error = 1.231015289704374e-12 relative error = 2.496330276602033e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290087712223424 y[1] (closed_form) = 4.94893947819497 y[1] (numeric) = 4.948939478193731 absolute error = 1.239008895481675e-12 relative error = 2.503584658775377e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.30013556884244 y[1] (closed_form) = 4.966512678391657 y[1] (numeric) = 4.96651267839041 absolute error = 1.247002501258976e-12 relative error = 2.510821137504479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310018706500489 y[1] (closed_form) = 4.98373216617977 y[1] (numeric) = 4.983732166178516 absolute error = 1.254107928616577e-12 relative error = 2.516403142863716e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320066563119505 y[1] (closed_form) = 5.001171181726977 y[1] (numeric) = 5.001171181725715 absolute error = 1.262101534393878e-12 relative error = 2.52361194714806e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330114419738522 y[1] (closed_form) = 5.018541433923663 y[1] (numeric) = 5.018541433922393 absolute error = 1.270095140171179e-12 relative error = 2.530805328388365e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339997557396571 y[1] (closed_form) = 5.03555912893283 y[1] (numeric) = 5.03555912893155 absolute error = 1.27986510278788e-12 relative error = 2.541654402257249e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350045414015587 y[1] (closed_form) = 5.052790800926413 y[1] (numeric) = 5.052790800925122 absolute error = 1.291411422243982e-12 relative error = 2.555837898547484e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360093270634603 y[1] (closed_form) = 5.069951524748385 y[1] (numeric) = 5.069951524747083 absolute error = 1.302069563280384e-12 relative error = 2.568209098103761e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370141127253619 y[1] (closed_form) = 5.087040582293819 y[1] (numeric) = 5.087040582292508 absolute error = 1.310951347477385e-12 relative error = 2.577041260571698e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380024264911668 y[1] (closed_form) = 5.103778888009693 y[1] (numeric) = 5.103778888008372 absolute error = 1.320721310094086e-12 relative error = 2.587732225619838e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390072121530685 y[1] (closed_form) = 5.120723691377881 y[1] (numeric) = 5.120723691376553 absolute error = 1.327826737451687e-12 relative error = 2.59304508010741e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400119978149701 y[1] (closed_form) = 5.137594729206044 y[1] (numeric) = 5.137594729204704 absolute error = 1.340261235327489e-12 relative error = 2.60873289149962e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.41000311580775 y[1] (closed_form) = 5.154116562728525 y[1] (numeric) = 5.154116562727177 absolute error = 1.34825484110479e-12 relative error = 2.6158796074861e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420050972426766 y[1] (closed_form) = 5.170839247603847 y[1] (numeric) = 5.17083924760249 absolute error = 1.357136625301791e-12 relative error = 2.6245964345743e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430098829045782 y[1] (closed_form) = 5.187486133966102 y[1] (numeric) = 5.187486133964733 absolute error = 1.368682944757893e-12 relative error = 2.638432006200784e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440146685664799 y[1] (closed_form) = 5.204056555586662 y[1] (numeric) = 5.204056555585287 absolute error = 1.375788372115494e-12 relative error = 2.643684513071935e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450029823322847 y[1] (closed_form) = 5.220280097290231 y[1] (numeric) = 5.220280097288845 absolute error = 1.385558334732195e-12 relative error = 2.654183892261678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460077679941864 y[1] (closed_form) = 5.236696901874838 y[1] (numeric) = 5.236696901873444 absolute error = 1.394440118929197e-12 relative error = 2.662823808706515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.47012553656088 y[1] (closed_form) = 5.25303530009085 y[1] (numeric) = 5.253035300089445 absolute error = 1.404210081545898e-12 relative error = 2.673140387085563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480008674218929 y[1] (closed_form) = 5.269028750635593 y[1] (numeric) = 5.269028750634179 absolute error = 1.413980044162599e-12 relative error = 2.683568663374694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490056530837945 y[1] (closed_form) = 5.285209749897067 y[1] (numeric) = 5.285209749895645 absolute error = 1.4219736499399e-12 relative error = 2.690477232180983e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500104387456962 y[1] (closed_form) = 5.30131047162404 y[1] (numeric) = 5.301310471622604 absolute error = 1.436184504655103e-12 relative error = 2.709112232423414e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50998752511501 y[1] (closed_form) = 5.317068339890557 y[1] (numeric) = 5.317068339889113 absolute error = 1.444178110432404e-12 relative error = 2.716117262585588e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520035381734027 y[1] (closed_form) = 5.333008022193216 y[1] (numeric) = 5.333008022191758 absolute error = 1.457500786727906e-12 relative error = 2.732980675563477e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530083238353043 y[1] (closed_form) = 5.348865627938009 y[1] (numeric) = 5.348865627936541 absolute error = 1.468158927764307e-12 relative error = 2.744804281670249e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540131094972059 y[1] (closed_form) = 5.364640570580958 y[1] (numeric) = 5.364640570579478 absolute error = 1.479705247220409e-12 relative error = 2.758256080258077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550014232630108 y[1] (closed_form) = 5.380075705087326 y[1] (numeric) = 5.380075705085836 absolute error = 1.49036338825681e-12 relative error = 2.770153191055551e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560062089249124 y[1] (closed_form) = 5.395684973836431 y[1] (numeric) = 5.395684973834931 absolute error = 1.500133350873512e-12 relative error = 2.780246360096314e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570109945868141 y[1] (closed_form) = 5.411209879291343 y[1] (numeric) = 5.411209879289835 absolute error = 1.508126956650813e-12 relative error = 2.787042066918163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.57999308352619 y[1] (closed_form) = 5.426397441457979 y[1] (numeric) = 5.426397441456462 absolute error = 1.517008740847814e-12 relative error = 2.795609347110815e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590040940145206 y[1] (closed_form) = 5.441753375369451 y[1] (numeric) = 5.441753375367925 absolute error = 1.526778703464515e-12 relative error = 2.805674197539059e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600088796764222 y[1] (closed_form) = 5.457023321608653 y[1] (numeric) = 5.457023321607118 absolute error = 1.534772309241816e-12 relative error = 2.81247159630864e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610136653383238 y[1] (closed_form) = 5.472206752960867 y[1] (numeric) = 5.472206752959321 absolute error = 1.545430450278218e-12 relative error = 2.824144846943194e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620019791041287 y[1] (closed_form) = 5.487056373434025 y[1] (numeric) = 5.487056373432468 absolute error = 1.55697676973432e-12 relative error = 2.837544693859049e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630067647660304 y[1] (closed_form) = 5.502066667552562 y[1] (numeric) = 5.502066667550999 absolute error = 1.56319401867222e-12 relative error = 2.841103376465562e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.64011550427932 y[1] (closed_form) = 5.516988925894184 y[1] (numeric) = 5.516988925892611 absolute error = 1.572963981288922e-12 relative error = 2.851127675653216e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649998641937369 y[1] (closed_form) = 5.531580196767802 y[1] (numeric) = 5.531580196766221 absolute error = 1.580957587066223e-12 relative error = 2.858057789689109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660046498556385 y[1] (closed_form) = 5.546326379200782 y[1] (numeric) = 5.546326379199193 absolute error = 1.588063014423824e-12 relative error = 2.863270038307161e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670094355175401 y[1] (closed_form) = 5.560983084081521 y[1] (numeric) = 5.560983084079929 absolute error = 1.591615728102624e-12 relative error = 2.862112155418476e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680142211794418 y[1] (closed_form) = 5.575549846107275 y[1] (numeric) = 5.575549846105673 absolute error = 1.602273869139026e-12 relative error = 2.873750416306829e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690025349452466 y[1] (closed_form) = 5.589789622855108 y[1] (numeric) = 5.589789622853496 absolute error = 1.611155653336027e-12 relative error = 2.88231894586597e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700073206071483 y[1] (closed_form) = 5.604176632468059 y[1] (numeric) = 5.604176632466442 absolute error = 1.617372902273928e-12 relative error = 2.886013429526119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710121062690499 y[1] (closed_form) = 5.618472365089021 y[1] (numeric) = 5.618472365087391 absolute error = 1.62980740014973e-12 relative error = 2.900801666795965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720004200348548 y[1] (closed_form) = 5.6324442805746 y[1] (numeric) = 5.632444280572964 absolute error = 1.636024649087631e-12 relative error = 2.904644178602917e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730052056967564 y[1] (closed_form) = 5.646557695478339 y[1] (numeric) = 5.646557695476694 absolute error = 1.644906433284632e-12 relative error = 2.913113656133972e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.74009991358658 y[1] (closed_form) = 5.660578581280448 y[1] (numeric) = 5.660578581278797 absolute error = 1.651123682222533e-12 relative error = 2.916881478658037e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750147770205597 y[1] (closed_form) = 5.67450653686957 y[1] (numeric) = 5.674506536867908 absolute error = 1.661781823258934e-12 relative error = 2.928504553588341e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760030907863646 y[1] (closed_form) = 5.688115127688416 y[1] (numeric) = 5.688115127686747 absolute error = 1.668887250616535e-12 relative error = 2.933989930148885e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770078764482662 y[1] (closed_form) = 5.701857596252608 y[1] (numeric) = 5.701857596250926 absolute error = 1.681321748492337e-12 relative error = 2.948726305611948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780126621101678 y[1] (closed_form) = 5.71550599375537 y[1] (numeric) = 5.715505993753681 absolute error = 1.689315354269638e-12 relative error = 2.955670689726063e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790009758759727 y[1] (closed_form) = 5.728838523841858 y[1] (numeric) = 5.728838523840161 absolute error = 1.697308960046939e-12 relative error = 2.962745333077907e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800057615378743 y[1] (closed_form) = 5.742299254952668 y[1] (numeric) = 5.742299254950964 absolute error = 1.70352620898484e-12 relative error = 2.966627361880467e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.81010547199776 y[1] (closed_form) = 5.755664858691901 y[1] (numeric) = 5.755664858690191 absolute error = 1.709743457922741e-12 relative error = 2.970540328352817e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819988609655808 y[1] (closed_form) = 5.768718228200568 y[1] (numeric) = 5.768718228198852 absolute error = 1.715072528440942e-12 relative error = 2.973056510295049e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830036466274825 y[1] (closed_form) = 5.781894154829895 y[1] (numeric) = 5.781894154828171 absolute error = 1.723954312637943e-12 relative error = 2.98164280852122e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840084322893841 y[1] (closed_form) = 5.794973983265059 y[1] (numeric) = 5.79497398326333 absolute error = 1.729283383156144e-12 relative error = 2.98410896778835e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850132179512857 y[1] (closed_form) = 5.807957407402513 y[1] (numeric) = 5.807957407400774 absolute error = 1.739053345772845e-12 relative error = 2.99425981250541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860015317170906 y[1] (closed_form) = 5.820633654285389 y[1] (numeric) = 5.82063365428364 absolute error = 1.749711486809247e-12 relative error = 3.006049840503254e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870063173789922 y[1] (closed_form) = 5.833424982691979 y[1] (numeric) = 5.833424982690221 absolute error = 1.758593271006248e-12 relative error = 3.014683957064793e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880111030408939 y[1] (closed_form) = 5.84611905146483 y[1] (numeric) = 5.846119051463066 absolute error = 1.764810519944149e-12 relative error = 3.018772803646463e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889994168066988 y[1] (closed_form) = 5.85850988043798 y[1] (numeric) = 5.85850988043621 absolute error = 1.77013959046235e-12 relative error = 3.021484347705862e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900042024686004 y[1] (closed_form) = 5.871010243356136 y[1] (numeric) = 5.871010243354358 absolute error = 1.778133196239651e-12 relative error = 3.028666485894579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.91008988130502 y[1] (closed_form) = 5.883412578708275 y[1] (numeric) = 5.883412578706491 absolute error = 1.784350445177552e-12 relative error = 3.032849424218541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920137737924037 y[1] (closed_form) = 5.895716648789583 y[1] (numeric) = 5.895716648787794 absolute error = 1.788791337276052e-12 relative error = 3.034052421164608e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930020875582085 y[1] (closed_form) = 5.907722929649433 y[1] (numeric) = 5.907722929647639 absolute error = 1.793232229374553e-12 relative error = 3.035403404541459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940068732201102 y[1] (closed_form) = 5.919831415695128 y[1] (numeric) = 5.919831415693325 absolute error = 1.803002191991254e-12 relative error = 3.045698543392623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950116588820118 y[1] (closed_form) = 5.931840986298186 y[1] (numeric) = 5.931840986296382 absolute error = 1.803890370410954e-12 relative error = 3.041029546438815e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999726478167 y[1] (closed_form) = 5.943556990115114 y[1] (numeric) = 5.943556990113303 absolute error = 1.810995797768555e-12 relative error = 3.046989876231472e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970047583097183 y[1] (closed_form) = 5.955369775040484 y[1] (numeric) = 5.955369775038669 absolute error = 1.815436689867056e-12 relative error = 3.048402968151066e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980095439716199 y[1] (closed_form) = 5.967083083243176 y[1] (numeric) = 5.967083083241357 absolute error = 1.819877581965557e-12 relative error = 3.04986130841073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990143296335216 y[1] (closed_form) = 5.978696746581574 y[1] (numeric) = 5.978696746579746 absolute error = 1.827871187742858e-12 relative error = 3.05730707747968e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000026433993265 y[1] (closed_form) = 5.990022660613171 y[1] (numeric) = 5.990022660611338 absolute error = 1.833200258261058e-12 relative error = 3.060422910108661e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010074290612281 y[1] (closed_form) = 6.001438209733793 y[1] (numeric) = 6.001438209731951 absolute error = 1.84208204245806e-12 relative error = 3.069400997031625e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020122147231297 y[1] (closed_form) = 6.01275367216758 y[1] (numeric) = 6.012753672165734 absolute error = 1.84652293455656e-12 relative error = 3.071010447515795e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030005284889346 y[1] (closed_form) = 6.023785872025583 y[1] (numeric) = 6.023785872023731 absolute error = 1.851852005074761e-12 relative error = 3.074232790502645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040053141508362 y[1] (closed_form) = 6.034902432967858 y[1] (numeric) = 6.034902432966001 absolute error = 1.857181075592962e-12 relative error = 3.077400332849513e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050100998127379 y[1] (closed_form) = 6.045918555345079 y[1] (numeric) = 6.045918555343215 absolute error = 1.863398324530863e-12 relative error = 3.082076457817098e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059984135785427 y[1] (closed_form) = 6.056656008408432 y[1] (numeric) = 6.056656008406564 absolute error = 1.868727395049063e-12 relative error = 3.085411145118224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070031992404444 y[1] (closed_form) = 6.067472620766051 y[1] (numeric) = 6.067472620764177 absolute error = 1.873168287147564e-12 relative error = 3.087229896574411e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.08007984902346 y[1] (closed_form) = 6.078188532940939 y[1] (numeric) = 6.078188532939059 absolute error = 1.880273714505165e-12 relative error = 3.093477117919197e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090127705642476 y[1] (closed_form) = 6.088803677487162 y[1] (numeric) = 6.088803677485277 absolute error = 1.884714606603666e-12 relative error = 3.09537752641334e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100010843300525 y[1] (closed_form) = 6.099146444386685 y[1] (numeric) = 6.099146444384797 absolute error = 1.888267320282466e-12 relative error = 3.095953405120027e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110058699919541 y[1] (closed_form) = 6.109561546001634 y[1] (numeric) = 6.109561545999741 absolute error = 1.893596390800667e-12 relative error = 3.099398175373026e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120106556538558 y[1] (closed_form) = 6.119875739235295 y[1] (numeric) = 6.119875739233398 absolute error = 1.897149104479467e-12 relative error = 3.099979779518407e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129989694196607 y[1] (closed_form) = 6.129922380618467 y[1] (numeric) = 6.129922380616564 absolute error = 1.903366353417368e-12 relative error = 3.105041524563859e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140037550815623 y[1] (closed_form) = 6.140036341643548 y[1] (numeric) = 6.14003634164164 absolute error = 1.907807245515869e-12 relative error = 3.107159533530045e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150085407434639 y[1] (closed_form) = 6.150049344217466 y[1] (numeric) = 6.150049344215554 absolute error = 1.91224813761437e-12 relative error = 3.109321617740101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160133264053655 y[1] (closed_form) = 6.159961391859037 y[1] (numeric) = 6.15996139185712 absolute error = 1.91668902971287e-12 relative error = 3.111527666790174e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170016401711704 y[1] (closed_form) = 6.169612474178893 y[1] (numeric) = 6.169612474176972 absolute error = 1.921129921811371e-12 relative error = 3.113858333650124e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180064258330721 y[1] (closed_form) = 6.179324317415153 y[1] (numeric) = 6.179324317413225 absolute error = 1.928235349168972e-12 relative error = 3.120463096158649e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190112114949737 y[1] (closed_form) = 6.188935276781552 y[1] (numeric) = 6.188935276779619 absolute error = 1.933564419687173e-12 relative error = 3.124227889312633e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199995252607786 y[1] (closed_form) = 6.198290305516243 y[1] (numeric) = 6.198290305514304 absolute error = 1.939781668625074e-12 relative error = 3.129543104650554e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210043109226802 y[1] (closed_form) = 6.207701291378038 y[1] (numeric) = 6.207701291376095 absolute error = 1.943334382303874e-12 relative error = 3.130521735965289e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220090965845818 y[1] (closed_form) = 6.217011555093183 y[1] (numeric) = 6.217011555091234 absolute error = 1.949551631241775e-12 relative error = 3.135834016014716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230138822464835 y[1] (closed_form) = 6.226221171128007 y[1] (numeric) = 6.226221171126052 absolute error = 1.954880701759976e-12 relative error = 3.139754673067306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240021960122883 y[1] (closed_form) = 6.235181705655565 y[1] (numeric) = 6.235181705653607 absolute error = 1.958433415438776e-12 relative error = 3.140940405413361e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.2500698167419 y[1] (closed_form) = 6.244191936567788 y[1] (numeric) = 6.244191936565824 absolute error = 1.963762485956977e-12 relative error = 3.144942541654778e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260117673360916 y[1] (closed_form) = 6.253101802329168 y[1] (numeric) = 6.2531018023272 absolute error = 1.968203378055478e-12 relative error = 3.147563305817854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270000811018965 y[1] (closed_form) = 6.261767805503261 y[1] (numeric) = 6.261767805501289 absolute error = 1.972644270153978e-12 relative error = 3.150299294745944e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280048667637981 y[1] (closed_form) = 6.27047893608963 y[1] (numeric) = 6.270478936087655 absolute error = 1.975308805413079e-12 relative error = 3.150172140829983e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290096524256998 y[1] (closed_form) = 6.279090074249204 y[1] (numeric) = 6.279090074247223 absolute error = 1.981526054350979e-12 relative error = 3.155753510333123e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300144380876014 y[1] (closed_form) = 6.287601365031029 y[1] (numeric) = 6.287601365029044 absolute error = 1.98507876802978e-12 relative error = 3.157132033003787e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310027518534063 y[1] (closed_form) = 6.295875871393347 y[1] (numeric) = 6.295875871391357 absolute error = 1.990407838547981e-12 relative error = 3.161447079336209e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320075375153079 y[1] (closed_form) = 6.30418957307855 y[1] (numeric) = 6.304189573076554 absolute error = 1.995736909066181e-12 relative error = 3.165731115683431e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330123231772095 y[1] (closed_form) = 6.312403919998426 y[1] (numeric) = 6.312403919996429 absolute error = 1.996625087485882e-12 relative error = 3.163018578643775e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340006369430144 y[1] (closed_form) = 6.320386860082418 y[1] (numeric) = 6.320386860080419 absolute error = 1.999289622744982e-12 relative error = 3.163239319054769e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.35005422604916 y[1] (closed_form) = 6.328404683716194 y[1] (numeric) = 6.328404683714193 absolute error = 2.001065979584382e-12 relative error = 3.162038585701361e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.360102082668177 y[1] (closed_form) = 6.336323734483637 y[1] (numeric) = 6.336323734481629 absolute error = 2.008171406941983e-12 relative error = 3.169300514134217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369985220326225 y[1] (closed_form) = 6.34401681592882 y[1] (numeric) = 6.344016815926805 absolute error = 2.015276834299584e-12 relative error = 3.176657459733624e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380033076945242 y[1] (closed_form) = 6.351740585829125 y[1] (numeric) = 6.351740585827101 absolute error = 2.024158618496585e-12 relative error = 3.186777846394622e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390080933564258 y[1] (closed_form) = 6.359366253525726 y[1] (numeric) = 6.359366253523701 absolute error = 2.025046796916286e-12 relative error = 3.184353151217812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400128790183274 y[1] (closed_form) = 6.366894063559364 y[1] (numeric) = 6.366894063557335 absolute error = 2.029487689014786e-12 relative error = 3.187563148930762e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410011927841323 y[1] (closed_form) = 6.374203249197552 y[1] (numeric) = 6.374203249195518 absolute error = 2.033928581113287e-12 relative error = 3.190875002878733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.42005978446034 y[1] (closed_form) = 6.381537710557767 y[1] (numeric) = 6.381537710555731 absolute error = 2.035704937952687e-12 relative error = 3.189991237667951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430107641079356 y[1] (closed_form) = 6.388775102478363 y[1] (numeric) = 6.388775102476323 absolute error = 2.039257651631488e-12 relative error = 3.191938390256388e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439990778737405 y[1] (closed_form) = 6.395799428350076 y[1] (numeric) = 6.395799428348035 absolute error = 2.041034008470888e-12 relative error = 3.191210154939792e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450038635356421 y[1] (closed_form) = 6.402845121805065 y[1] (numeric) = 6.402845121803019 absolute error = 2.045474900569388e-12 relative error = 3.194634356535452e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460086491975437 y[1] (closed_form) = 6.40979462127661 y[1] (numeric) = 6.409794621274558 absolute error = 2.052580327926989e-12 relative error = 3.202255999144924e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470134348594454 y[1] (closed_form) = 6.416648239570428 y[1] (numeric) = 6.416648239568371 absolute error = 2.05702122002549e-12 relative error = 3.205756562032144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480017486252502 y[1] (closed_form) = 6.423296279979937 y[1] (numeric) = 6.423296279977874 absolute error = 2.062350290543691e-12 relative error = 3.210735112704676e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490065342871519 y[1] (closed_form) = 6.429960671385057 y[1] (numeric) = 6.429960671382988 absolute error = 2.069455717901292e-12 relative error = 3.218457815941069e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500113199490535 y[1] (closed_form) = 6.436530172298817 y[1] (numeric) = 6.43653017229674 absolute error = 2.077449323678593e-12 relative error = 3.227591991441918e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509996337148584 y[1] (closed_form) = 6.442899747278674 y[1] (numeric) = 6.442899747276596 absolute error = 2.078337502098293e-12 relative error = 3.225779670056379e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.5200441937676 y[1] (closed_form) = 6.449282071216407 y[1] (numeric) = 6.449282071214324 absolute error = 2.082778394196794e-12 relative error = 3.229473251747474e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530092050386616 y[1] (closed_form) = 6.455570580623832 y[1] (numeric) = 6.455570580621744 absolute error = 2.088107464714994e-12 relative error = 3.234582348123302e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540139907005633 y[1] (closed_form) = 6.461765655039283 y[1] (numeric) = 6.461765655037191 absolute error = 2.091660178393795e-12 relative error = 3.236979318125828e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550023044663682 y[1] (closed_form) = 6.467768398240322 y[1] (numeric) = 6.467768398238229 absolute error = 2.093436535233195e-12 relative error = 3.236721549588501e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560070901282698 y[1] (closed_form) = 6.473779294532142 y[1] (numeric) = 6.473779294530044 absolute error = 2.097877427331696e-12 relative error = 3.240576071389392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570118757901714 y[1] (closed_form) = 6.479697944128224 y[1] (numeric) = 6.479697944126123 absolute error = 2.101430141010496e-12 relative error = 3.243098920860611e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580001895559763 y[1] (closed_form) = 6.485429980376495 y[1] (numeric) = 6.48542998037439 absolute error = 2.105871033108997e-12 relative error = 3.247080054030197e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590049752178779 y[1] (closed_form) = 6.491166891424406 y[1] (numeric) = 6.491166891422297 absolute error = 2.109423746787797e-12 relative error = 3.249683426834386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600097608797796 y[1] (closed_form) = 6.496812826971619 y[1] (numeric) = 6.496812826969504 absolute error = 2.114752817305998e-12 relative error = 3.255061941336172e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610145465416812 y[1] (closed_form) = 6.502368231429802 y[1] (numeric) = 6.502368231427685 absolute error = 2.117417352565099e-12 relative error = 3.2563787180344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620028603074861 y[1] (closed_form) = 6.507744686609746 y[1] (numeric) = 6.507744686607626 absolute error = 2.120081887824199e-12 relative error = 3.257782826339904e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630076459693877 y[1] (closed_form) = 6.513121863956936 y[1] (numeric) = 6.513121863954812 absolute error = 2.1245227799227e-12 relative error = 3.26191160598365e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640124316312893 y[1] (closed_form) = 6.518409890300006 y[1] (numeric) = 6.51840989029788 absolute error = 2.1262991367621e-12 relative error = 3.261990535339345e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650007453970942 y[1] (closed_form) = 6.523524723137079 y[1] (numeric) = 6.523524723134949 absolute error = 2.1298518504409e-12 relative error = 3.264878943260419e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660055310589958 y[1] (closed_form) = 6.528637339656466 y[1] (numeric) = 6.528637339654332 absolute error = 2.134292742539401e-12 relative error = 3.269124369300174e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670103167208975 y[1] (closed_form) = 6.53366226537346 y[1] (numeric) = 6.53366226537132 absolute error = 2.139621813057602e-12 relative error = 3.274766472697839e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679986304867024 y[1] (closed_form) = 6.538519760972465 y[1] (numeric) = 6.538519760970323 absolute error = 2.141398169897002e-12 relative error = 3.275050390883142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.69003416148604 y[1] (closed_form) = 6.543372251787613 y[1] (numeric) = 6.543372251785467 absolute error = 2.145839061995503e-12 relative error = 3.279408505926392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700082018105056 y[1] (closed_form) = 6.548138590806674 y[1] (numeric) = 6.548138590804524 absolute error = 2.150279954094003e-12 relative error = 3.283803365299737e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710129874724073 y[1] (closed_form) = 6.55281931124413 y[1] (numeric) = 6.552819311241978 absolute error = 2.151168132513703e-12 relative error = 3.282813137884736e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720013012382121 y[1] (closed_form) = 6.557340299532305 y[1] (numeric) = 6.557340299530154 absolute error = 2.151168132513703e-12 relative error = 3.280549787338523e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730060869001138 y[1] (closed_form) = 6.561852798164188 y[1] (numeric) = 6.561852798162033 absolute error = 2.154720846192504e-12 relative error = 3.283707989906952e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740108725620154 y[1] (closed_form) = 6.56628132026967 y[1] (numeric) = 6.566281320267512 absolute error = 2.158273559871304e-12 relative error = 3.28690388760661e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749991863278203 y[1] (closed_form) = 6.570555871226041 y[1] (numeric) = 6.57055587122388 absolute error = 2.160938095130405e-12 relative error = 3.288820820463066e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760039719897219 y[1] (closed_form) = 6.574819503898764 y[1] (numeric) = 6.574819503896599 absolute error = 2.165378987228905e-12 relative error = 3.293442483013975e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770087576516235 y[1] (closed_form) = 6.579000877566992 y[1] (numeric) = 6.579000877564821 absolute error = 2.170708057747106e-12 relative error = 3.299449412066145e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780135433135252 y[1] (closed_form) = 6.583100584502471 y[1] (numeric) = 6.5831005845003 absolute error = 2.171596236166806e-12 relative error = 3.298743818800284e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790018570793301 y[1] (closed_form) = 6.587053996216111 y[1] (numeric) = 6.587053996213936 absolute error = 2.174260771425907e-12 relative error = 3.300809091097319e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800066427412317 y[1] (closed_form) = 6.59099349344525 y[1] (numeric) = 6.590993493443073 absolute error = 2.176925306685007e-12 relative error = 3.302878858627249e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810114284031333 y[1] (closed_form) = 6.594853139806267 y[1] (numeric) = 6.594853139804086 absolute error = 2.180478020363807e-12 relative error = 3.306332945009087e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819997421689382 y[1] (closed_form) = 6.598572221335912 y[1] (numeric) = 6.598572221333729 absolute error = 2.183142555622908e-12 relative error = 3.3085074807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830045278308398 y[1] (closed_form) = 6.602275331489826 y[1] (numeric) = 6.602275331487641 absolute error = 2.185807090882008e-12 relative error = 3.310687575322269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840093134927415 y[1] (closed_form) = 6.605900478399359 y[1] (numeric) = 6.605900478397172 absolute error = 2.187583447721408e-12 relative error = 3.3115598015359e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850140991546431 y[1] (closed_form) = 6.60944831049212 y[1] (numeric) = 6.609448310489936 absolute error = 2.183142555622908e-12 relative error = 3.30306321052136e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.86002412920448 y[1] (closed_form) = 6.612863194036691 y[1] (numeric) = 6.612863194034507 absolute error = 2.184030734042608e-12 relative error = 3.302700615388672e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870071985823496 y[1] (closed_form) = 6.616259613353979 y[1] (numeric) = 6.616259613351795 absolute error = 2.184918912462308e-12 relative error = 3.302347610502405e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880119842442512 y[1] (closed_form) = 6.619580698633024 y[1] (numeric) = 6.619580698630835 absolute error = 2.189359804560809e-12 relative error = 3.307399523073904e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890002980100561 y[1] (closed_form) = 6.622774507072743 y[1] (numeric) = 6.622774507070551 absolute error = 2.192024339819909e-12 relative error = 3.30982783345402e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900050836719577 y[1] (closed_form) = 6.625948176206323 y[1] (numeric) = 6.625948176204131 absolute error = 2.192912518239609e-12 relative error = 3.309582960691308e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910098693338594 y[1] (closed_form) = 6.629048559780193 y[1] (numeric) = 6.629048559777998 absolute error = 2.194688875079009e-12 relative error = 3.310714735738459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92014654995761 y[1] (closed_form) = 6.632076359201315 y[1] (numeric) = 6.632076359199115 absolute error = 2.19912976717751e-12 relative error = 3.315899347459181e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930029687615659 y[1] (closed_form) = 6.634984401111728 y[1] (numeric) = 6.634984401109527 absolute error = 2.20090612401691e-12 relative error = 3.317123283135581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940077544234675 y[1] (closed_form) = 6.637870326425679 y[1] (numeric) = 6.637870326423476 absolute error = 2.202682480856311e-12 relative error = 3.31835720274216e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950125400853691 y[1] (closed_form) = 6.640685803575924 y[1] (numeric) = 6.640685803573718 absolute error = 2.205347016115411e-12 relative error = 3.320962745937867e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96000853851174 y[1] (closed_form) = 6.643387108458279 y[1] (numeric) = 6.643387108456073 absolute error = 2.206235194535111e-12 relative error = 3.320949326776637e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970056395130757 y[1] (closed_form) = 6.646065011683532 y[1] (numeric) = 6.646065011681327 absolute error = 2.204458837695711e-12 relative error = 3.316938419681955e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980104251749773 y[1] (closed_form) = 6.648674666043359 y[1] (numeric) = 6.648674666041154 absolute error = 2.204458837695711e-12 relative error = 3.315636496630672e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989987389407822 y[1] (closed_form) = 6.651175687953617 y[1] (numeric) = 6.651175687951409 absolute error = 2.208011551374511e-12 relative error = 3.319731209887579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000035246026838 y[1] (closed_form) = 6.65365219220339 y[1] (numeric) = 6.653652192201179 absolute error = 2.211564265053312e-12 relative error = 3.323835092619924e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010083102645827 y[1] (closed_form) = 6.656062708218826 y[1] (numeric) = 6.656062708216622 absolute error = 2.204458837695711e-12 relative error = 3.311956233485709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020130959264816 y[1] (closed_form) = 6.658408007054942 y[1] (numeric) = 6.658408007052738 absolute error = 2.203570659276011e-12 relative error = 3.309455739181511e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030014096922838 y[1] (closed_form) = 6.660651990577628 y[1] (numeric) = 6.660651990575432 absolute error = 2.19557705349871e-12 relative error = 3.296339542442157e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040061953541827 y[1] (closed_form) = 6.662870231653211 y[1] (numeric) = 6.662870231651022 absolute error = 2.189359804560809e-12 relative error = 3.285910918930771e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050109810160817 y[1] (closed_form) = 6.665025594893636 y[1] (numeric) = 6.66502559489145 absolute error = 2.185807090882008e-12 relative error = 3.279517924967385e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059992947818839 y[1] (closed_form) = 6.667085057257962 y[1] (numeric) = 6.66708505725578 absolute error = 2.182254377203208e-12 relative error = 3.273176145889348e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070040804437828 y[1] (closed_form) = 6.669118059588828 y[1] (numeric) = 6.66911805958665 absolute error = 2.177813485104707e-12 relative error = 3.265519466960787e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080088661056817 y[1] (closed_form) = 6.671090579934756 y[1] (numeric) = 6.671090579932581 absolute error = 2.174260771425907e-12 relative error = 3.259228375590683e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090136517675806 y[1] (closed_form) = 6.673003433570171 y[1] (numeric) = 6.673003433568 absolute error = 2.171596236166806e-12 relative error = 3.25430109213201e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100019655333829 y[1] (closed_form) = 6.67482751824628 y[1] (numeric) = 6.674827518244116 absolute error = 2.164490808809205e-12 relative error = 3.242766652609918e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110067511952818 y[1] (closed_form) = 6.676624452713266 y[1] (numeric) = 6.676624452711106 absolute error = 2.160049916710705e-12 relative error = 3.235242497176694e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120115368571807 y[1] (closed_form) = 6.678364188399855 y[1] (numeric) = 6.678364188397702 absolute error = 2.152944489353104e-12 relative error = 3.223760233221052e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129998506229829 y[1] (closed_form) = 6.680020417659361 y[1] (numeric) = 6.680020417657211 absolute error = 2.150279954094003e-12 relative error = 3.218972128302937e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140046362848818 y[1] (closed_form) = 6.681649181055706 y[1] (numeric) = 6.681649181053556 absolute error = 2.149391775674303e-12 relative error = 3.216858169938664e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150094219467808 y[1] (closed_form) = 6.683223265004262 y[1] (numeric) = 6.683223265002114 absolute error = 2.148503597254603e-12 relative error = 3.214771543702473e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160142076086797 y[1] (closed_form) = 6.684743525005029 y[1] (numeric) = 6.684743525002882 absolute error = 2.146727240415203e-12 relative error = 3.211383103009308e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170025213744819 y[1] (closed_form) = 6.686187190338485 y[1] (numeric) = 6.686187190336342 absolute error = 2.143174526736402e-12 relative error = 3.20537619681555e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180073070363808 y[1] (closed_form) = 6.687603237625089 y[1] (numeric) = 6.68760323762295 absolute error = 2.138733634637902e-12 relative error = 3.198056999860853e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190120926982797 y[1] (closed_form) = 6.688968045390132 y[1] (numeric) = 6.688968045387996 absolute error = 2.135180920959101e-12 relative error = 3.192093169634162e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.20000406464082 y[1] (closed_form) = 6.690261343335008 y[1] (numeric) = 6.690261343332874 absolute error = 2.134292742539401e-12 relative error = 3.190148535326848e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210051921259809 y[1] (closed_form) = 6.69152711105763 y[1] (numeric) = 6.691527111055496 absolute error = 2.133404564119701e-12 relative error = 3.188217769594459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220099777878798 y[1] (closed_form) = 6.692744269732039 y[1] (numeric) = 6.69274426972991 absolute error = 2.1289636720212e-12 relative error = 3.181002569677503e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230147634497787 y[1] (closed_form) = 6.693913710892902 y[1] (numeric) = 6.69391371089078 absolute error = 2.121858244663599e-12 relative error = 3.169832083749051e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240030772155809 y[1] (closed_form) = 6.695018299977183 y[1] (numeric) = 6.695018299975065 absolute error = 2.117417352565099e-12 relative error = 3.16267597442163e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250078628774799 y[1] (closed_form) = 6.696095745393004 y[1] (numeric) = 6.69609574539089 absolute error = 2.113864638886298e-12 relative error = 3.156861429797599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260126485393788 y[1] (closed_form) = 6.697128161557092 y[1] (numeric) = 6.697128161554981 absolute error = 2.111200103627198e-12 relative error = 3.152396150555883e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.27000962305181 y[1] (closed_form) = 6.69810060789713 y[1] (numeric) = 6.698100607895021 absolute error = 2.109423746787797e-12 relative error = 3.149286447415801e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280057479670799 y[1] (closed_form) = 6.699046401441709 y[1] (numeric) = 6.699046401439607 absolute error = 2.102318319430196e-12 relative error = 3.138235195650763e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290105336289789 y[1] (closed_form) = 6.699949894462545 y[1] (numeric) = 6.699949894460443 absolute error = 2.102318319430196e-12 relative error = 3.137812002396833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299988473947811 y[1] (closed_form) = 6.700798205777564 y[1] (numeric) = 6.700798205775465 absolute error = 2.098765605751396e-12 relative error = 3.132112833873728e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.3100363305668 y[1] (closed_form) = 6.701620527149071 y[1] (numeric) = 6.701620527146972 absolute error = 2.099653784171096e-12 relative error = 3.133053827302137e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320084187185789 y[1] (closed_form) = 6.702403314738788 y[1] (numeric) = 6.702403314736691 absolute error = 2.096989248911996e-12 relative error = 3.128712419171572e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330132043804778 y[1] (closed_form) = 6.703147503934867 y[1] (numeric) = 6.703147503932771 absolute error = 2.095212892072595e-12 relative error = 3.125715032889651e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340015181462801 y[1] (closed_form) = 6.703842750160341 y[1] (numeric) = 6.703842750158249 absolute error = 2.091660178393795e-12 relative error = 3.120091351104211e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.35006303808179 y[1] (closed_form) = 6.704513158504724 y[1] (numeric) = 6.704513158502634 absolute error = 2.090771999974095e-12 relative error = 3.118454614891664e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360110894700779 y[1] (closed_form) = 6.705147782070666 y[1] (numeric) = 6.705147782068575 absolute error = 2.090771999974095e-12 relative error = 3.118159461846235e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369994032358801 y[1] (closed_form) = 6.705738014363122 y[1] (numeric) = 6.705738014361032 absolute error = 2.089883821554395e-12 relative error = 3.116560499497655e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.38004188897779 y[1] (closed_form) = 6.706304470639161 y[1] (numeric) = 6.706304470637073 absolute error = 2.088107464714994e-12 relative error = 3.113648468924916e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.39008974559678 y[1] (closed_form) = 6.706837987910454 y[1] (numeric) = 6.706837987908368 absolute error = 2.086331107875594e-12 relative error = 3.110752207875533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400137602215769 y[1] (closed_form) = 6.707339526731127 y[1] (numeric) = 6.707339526729043 absolute error = 2.084554751036194e-12 relative error = 3.107871224840347e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410020739873791 y[1] (closed_form) = 6.707802582273875 y[1] (numeric) = 6.707802582271788 absolute error = 2.087219286295294e-12 relative error = 3.111628973415238e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42006859649278 y[1] (closed_form) = 6.708243543446613 y[1] (numeric) = 6.708243543444526 absolute error = 2.087219286295294e-12 relative error = 3.111424432904394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430116453111769 y[1] (closed_form) = 6.708655410887864 y[1] (numeric) = 6.708655410885775 absolute error = 2.088995643134695e-12 relative error = 3.113881270074392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439999590769792 y[1] (closed_form) = 6.70903308802944 y[1] (numeric) = 6.709033088027352 absolute error = 2.087219286295294e-12 relative error = 3.111058268619073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450047447388781 y[1] (closed_form) = 6.709390126476569 y[1] (numeric) = 6.709390126474481 absolute error = 2.088107464714994e-12 relative error = 3.112216498597858e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.46009530400777 y[1] (closed_form) = 6.709720982056837 y[1] (numeric) = 6.709720982054748 absolute error = 2.088995643134695e-12 relative error = 3.113386754413626e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470143160626759 y[1] (closed_form) = 6.710026635784804 y[1] (numeric) = 6.710026635782716 absolute error = 2.088107464714994e-12 relative error = 3.111921275511851e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480026298284781 y[1] (closed_form) = 6.710303647527057 y[1] (numeric) = 6.710303647524971 absolute error = 2.086331107875594e-12 relative error = 3.109145602739554e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490074154903771 y[1] (closed_form) = 6.710562223567242 y[1] (numeric) = 6.710562223565153 absolute error = 2.088107464714994e-12 relative error = 3.111672904815098e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.50012201152276 y[1] (closed_form) = 6.710798539446596 y[1] (numeric) = 6.71079853944451 absolute error = 2.086331107875594e-12 relative error = 3.108916316906219e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510005149180782 y[1] (closed_form) = 6.711010226569277 y[1] (numeric) = 6.711010226567192 absolute error = 2.085442929455894e-12 relative error = 3.107494786998692e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520053005799771 y[1] (closed_form) = 6.711205320345311 y[1] (numeric) = 6.711205320343224 absolute error = 2.087219286295294e-12 relative error = 3.110051304745212e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.53010086241876 y[1] (closed_form) = 6.711381115656396 y[1] (numeric) = 6.711381115654308 absolute error = 2.088107464714994e-12 relative error = 3.111293232690706e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539984000076783 y[1] (closed_form) = 6.711536169545797 y[1] (numeric) = 6.711536169543711 absolute error = 2.085442929455894e-12 relative error = 3.107251271204915e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550031856695772 y[1] (closed_form) = 6.711676635382851 y[1] (numeric) = 6.711676635380768 absolute error = 2.082778394196794e-12 relative error = 3.103216241403422e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560079713314761 y[1] (closed_form) = 6.711800781793676 y[1] (numeric) = 6.711800781791593 absolute error = 2.083666572616494e-12 relative error = 3.104482150704792e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.57012756993375 y[1] (closed_form) = 6.711909610661898 y[1] (numeric) = 6.711909610659816 absolute error = 2.081890215777094e-12 relative error = 3.101785239285704e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580010707591772 y[1] (closed_form) = 6.712002686045766 y[1] (numeric) = 6.712002686043689 absolute error = 2.077449323678593e-12 relative error = 3.09512588246963e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590058564210762 y[1] (closed_form) = 6.71208410163936 y[1] (numeric) = 6.712084101637279 absolute error = 2.081002037357393e-12 relative error = 3.100381350777666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600106420829751 y[1] (closed_form) = 6.712153197708797 y[1] (numeric) = 6.712153197706721 absolute error = 2.075672966839193e-12 relative error = 3.092409999741554e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609989558487773 y[1] (closed_form) = 6.712210120243855 y[1] (numeric) = 6.71221012024178 absolute error = 2.074784788419493e-12 relative error = 3.091060546751948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620037415106762 y[1] (closed_form) = 6.712257761503901 y[1] (numeric) = 6.712257761501825 absolute error = 2.075672966839193e-12 relative error = 3.092361826066304e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630085271725751 y[1] (closed_form) = 6.71229609232935 y[1] (numeric) = 6.712296092327275 absolute error = 2.074784788419493e-12 relative error = 3.091020955989272e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640133128344741 y[1] (closed_form) = 6.712326123267647 y[1] (numeric) = 6.712326123265571 absolute error = 2.075672966839193e-12 relative error = 3.092330331871194e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650016266002763 y[1] (closed_form) = 6.712348546245249 y[1] (numeric) = 6.712348546243175 absolute error = 2.073896609999792e-12 relative error = 3.089673600397119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660064122621752 y[1] (closed_form) = 6.712365107029133 y[1] (numeric) = 6.712365107027058 absolute error = 2.075672966839193e-12 relative error = 3.092312372379097e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670111979240741 y[1] (closed_form) = 6.712376387580253 y[1] (numeric) = 6.712376387578179 absolute error = 2.073896609999792e-12 relative error = 3.089660785168533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679995116898763 y[1] (closed_form) = 6.712383315198263 y[1] (numeric) = 6.712383315196187 absolute error = 2.075672966839193e-12 relative error = 3.092303984099698e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690042973517753 y[1] (closed_form) = 6.712387120706961 y[1] (numeric) = 6.712387120704886 absolute error = 2.074784788419493e-12 relative error = 3.09097903787315e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700090830136742 y[1] (closed_form) = 6.712388670382438 y[1] (numeric) = 6.712388670380366 absolute error = 2.072120253160392e-12 relative error = 3.08700874593773e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710138686755731 y[1] (closed_form) = 6.712388978485509 y[1] (numeric) = 6.712388978483437 absolute error = 2.072120253160392e-12 relative error = 3.087008604241998e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720021824413753 y[1] (closed_form) = 6.712389054499782 y[1] (numeric) = 6.712389054497706 absolute error = 2.075672966839193e-12 relative error = 3.092301340083565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730069681032743 y[1] (closed_form) = 6.712389901555939 y[1] (numeric) = 6.712389901553862 absolute error = 2.077449323678593e-12 relative error = 3.094947334923196e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740117537651732 y[1] (closed_form) = 6.712392533537409 y[1] (numeric) = 6.712392533535329 absolute error = 2.080113858937693e-12 relative error = 3.098915697413005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750000675309754 y[1] (closed_form) = 6.712397847589618 y[1] (numeric) = 6.712397847587534 absolute error = 2.084554751036194e-12 relative error = 3.10552919890579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.760048531928743 y[1] (closed_form) = 6.712407020914201 y[1] (numeric) = 6.712407020912114 absolute error = 2.086331107875594e-12 relative error = 3.108171333137431e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.770096388547732 y[1] (closed_form) = 6.712421004057763 y[1] (numeric) = 6.712421004055674 absolute error = 2.088995643134695e-12 relative error = 3.112134417480465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.780144245166722 y[1] (closed_form) = 6.712440810025853 y[1] (numeric) = 6.712440810023764 absolute error = 2.089883821554395e-12 relative error = 3.11344841720302e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790027382824744 y[1] (closed_form) = 6.712466953992521 y[1] (numeric) = 6.712466953990432 absolute error = 2.088995643134695e-12 relative error = 3.112113113483824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800075239443733 y[1] (closed_form) = 6.712501305380987 y[1] (numeric) = 6.712501305378901 absolute error = 2.085442929455894e-12 relative error = 3.106804504878274e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810123096062722 y[1] (closed_form) = 6.712544498108888 y[1] (numeric) = 6.712544498106806 absolute error = 2.081890215777094e-12 relative error = 3.101491865511835e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820006233720744 y[1] (closed_form) = 6.712596587851043 y[1] (numeric) = 6.712596587848966 absolute error = 2.077449323678593e-12 relative error = 3.094852038983715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830054090339734 y[1] (closed_form) = 6.71266030626301 y[1] (numeric) = 6.712660306260931 absolute error = 2.079225680517993e-12 relative error = 3.097468940262097e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840101946958723 y[1] (closed_form) = 6.712735876583926 y[1] (numeric) = 6.712735876581847 absolute error = 2.079225680517993e-12 relative error = 3.097434069722552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849985084616745 y[1] (closed_form) = 6.712822746912312 y[1] (numeric) = 6.712822746910235 absolute error = 2.076561145258893e-12 relative error = 3.093424664332223e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860032941235734 y[1] (closed_form) = 6.712924804735288 y[1] (numeric) = 6.712924804733213 absolute error = 2.075672966839193e-12 relative error = 3.092054547333847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870080797854723 y[1] (closed_form) = 6.713041714385838 y[1] (numeric) = 6.713041714383763 absolute error = 2.074784788419493e-12 relative error = 3.090677634213554e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880128654473713 y[1] (closed_form) = 6.713174478478198 y[1] (numeric) = 6.713174478476126 absolute error = 2.072120253160392e-12 relative error = 3.086647397298273e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890011792131735 y[1] (closed_form) = 6.713321504022368 y[1] (numeric) = 6.713321504020293 absolute error = 2.075672966839193e-12 relative error = 3.091871833630384e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900059648750724 y[1] (closed_form) = 6.713488677588998 y[1] (numeric) = 6.713488677586921 absolute error = 2.077449323678593e-12 relative error = 3.094440794416686e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910107505369713 y[1] (closed_form) = 6.713674687094684 y[1] (numeric) = 6.71367468709261 absolute error = 2.073896609999792e-12 relative error = 3.089063302376456e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.919990643027735 y[1] (closed_form) = 6.713876988544659 y[1] (numeric) = 6.713876988542586 absolute error = 2.072120253160392e-12 relative error = 3.086324424316803e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930038499646725 y[1] (closed_form) = 6.714103305443431 y[1] (numeric) = 6.71410330544136 absolute error = 2.071232074740692e-12 relative error = 3.08489753659502e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940086356265714 y[1] (closed_form) = 6.714351422851323 y[1] (numeric) = 6.714351422849252 absolute error = 2.070343896320992e-12 relative error = 3.083460733489278e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950134212884703 y[1] (closed_form) = 6.714622330136022 y[1] (numeric) = 6.714622330133954 absolute error = 2.067679361061892e-12 relative error = 3.079368070757905e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960017350542725 y[1] (closed_form) = 6.714911986524947 y[1] (numeric) = 6.714911986522881 absolute error = 2.065903004222491e-12 relative error = 3.076589847146489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970065207161714 y[1] (closed_form) = 6.715231018509776 y[1] (numeric) = 6.715231018507709 absolute error = 2.066791182642191e-12 relative error = 3.07776631503118e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980113063780704 y[1] (closed_form) = 6.715575778190704 y[1] (numeric) = 6.715575778188638 absolute error = 2.065903004222491e-12 relative error = 3.076285745939543e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989996201438726 y[1] (closed_form) = 6.715940935020668 y[1] (numeric) = 6.715940935018603 absolute error = 2.065014825802791e-12 relative error = 3.074795990290281e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001647189609673896 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 1.0 + sin ( x ) ; Iterations = 30872 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %