##############ECHO OF PROBLEM################# ##############temp/expt_sin_cpostode.ode################# diff ( y , x , 1 ) = expt(sin(0.2 * x + 0.3) , 2.0); ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(-2.5000000000000000000000000000000*sin(0.20000000000000000000000000000000*x+0.30000000000000000000000000000000)*cos(0.20000000000000000000000000000000*x+0.30000000000000000000000000000000)+0.50000000000000000000000000000000*x+0.75000000000000000000000000000000); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 2.040816326530612e-17 est_needed_step_err = 2.040816326530612e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.385323359807251e-184 estimated_step_error = 7.385323359807251e-184 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.956205290031846e-176 estimated_step_error = 4.956205290031846e-176 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.326051296698544e-168 estimated_step_error = 3.326051296698544e-168 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.232072864346986e-160 estimated_step_error = 2.232072864346986e-160 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.497915552671482e-152 estimated_step_error = 1.497915552671482e-152 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.005229829231612e-144 estimated_step_error = 1.005229829231612e-144 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.745925720645678e-137 estimated_step_error = 6.745925720645678e-137 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.527036985512626e-129 estimated_step_error = 4.527036985512626e-129 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.037939574483078e-121 estimated_step_error = 3.037939574483078e-121 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.038587810410201e-113 estimated_step_error = 2.038587810410201e-113 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.367886694871995e-105 estimated_step_error = 1.367886694871995e-105 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.177231075379612e-98 estimated_step_error = 9.177231075379612e-98 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.15538131017849e-90 estimated_step_error = 6.15538131017849e-90 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.126311947743586e-82 estimated_step_error = 4.126311947743586e-82 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.763108547000816e-74 estimated_step_error = 2.763108547000816e-74 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.846274359368863e-66 estimated_step_error = 1.846274359368863e-66 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.228397877373203e-58 estimated_step_error = 1.228397877373203e-58 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.105008324429469e-51 estimated_step_error = 8.105008324429469e-51 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.05350569829700989 y[1] (numeric) = 0.05350569829700989 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.054501202148641 y[1] (numeric) = 0.054501202148641 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.05550871396502712 y[1] (numeric) = 0.0555087139650271 absolute error = 2.081668171172169e-17 relative error = 3.750164654298619e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.05652829762589398 y[1] (numeric) = 0.05652829762589395 absolute error = 2.775557561562891e-17 relative error = 4.910032104507405e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.05756001681781809 y[1] (numeric) = 0.05756001681781807 absolute error = 2.081668171172169e-17 relative error = 3.616517656276594e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.05860393503320774 y[1] (numeric) = 0.05860393503320772 absolute error = 2.081668171172169e-17 relative error = 3.55209623721103e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.05966011556928705 y[1] (numeric) = 0.05966011556928708 absolute error = 2.775557561562891e-17 relative error = 4.652283246651545e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.06072862152708348 y[1] (numeric) = 0.06072862152708341 absolute error = 6.938893903907228e-17 relative error = 1.142606851501257e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.06180951581041753 y[1] (numeric) = 0.06180951581041753 absolute error = 6.938893903907228e-18 relative error = 1.122625507242322e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0.06290286112489733 y[1] (numeric) = 0.06290286112489729 absolute error = 4.163336342344337e-17 relative error = 6.618675633971224e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0.06400871997691439 y[1] (numeric) = 0.06400871997691432 absolute error = 6.938893903907228e-17 relative error = 1.084054470454937e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0.06512715467264397 y[1] (numeric) = 0.06512715467264392 absolute error = 5.551115123125783e-17 relative error = 8.52350321617455e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0.06625822731704815 y[1] (numeric) = 0.06625822731704814 absolute error = 1.387778780781446e-17 relative error = 2.094500316377121e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0.06740199981288213 y[1] (numeric) = 0.06740199981288214 absolute error = 1.387778780781446e-17 relative error = 2.058957871627138e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0.06855853385970376 y[1] (numeric) = 0.06855853385970372 absolute error = 4.163336342344337e-17 relative error = 6.072674119408783e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0.06972789095288613 y[1] (numeric) = 0.06972789095288613 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0.07091013238263419 y[1] (numeric) = 0.07091013238263418 absolute error = 1.387778780781446e-17 relative error = 1.957095176882382e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0.07210531923300352 y[1] (numeric) = 0.07210531923300352 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0.07331351238092342 y[1] (numeric) = 0.07331351238092339 absolute error = 2.775557561562891e-17 relative error = 3.785874488104743e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0.07453477249522254 y[1] (numeric) = 0.07453477249522253 absolute error = 1.387778780781446e-17 relative error = 1.861921267513627e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0.07576916003565855 y[1] (numeric) = 0.07576916003565851 absolute error = 4.163336342344337e-17 relative error = 5.494763753993028e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0.07701673525195034 y[1] (numeric) = 0.07701673525195032 absolute error = 1.387778780781446e-17 relative error = 1.801918474266023e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0.07827755818281454 y[1] (numeric) = 0.07827755818281448 absolute error = 5.551115123125783e-17 relative error = 7.091579313398286e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0.07955168865500431 y[1] (numeric) = 0.07955168865500431 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0.08083918628235286 y[1] (numeric) = 0.08083918628235277 absolute error = 8.326672684688674e-17 relative error = 1.030029255317527e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0.08214011046481863 y[1] (numeric) = 0.08214011046481863 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0.08345452038753609 y[1] (numeric) = 0.08345452038753605 absolute error = 4.163336342344337e-17 relative error = 4.988748749631698e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.763 Order of pole (six term test) = -13.49 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0.08478247501986767 y[1] (numeric) = 0.08478247501986763 absolute error = 4.163336342344337e-17 relative error = 4.910609582191028e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0.08612403311446096 y[1] (numeric) = 0.08612403311446093 absolute error = 2.775557561562891e-17 relative error = 3.222744524602217e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0.08747925320630845 y[1] (numeric) = 0.08747925320630839 absolute error = 5.551115123125783e-17 relative error = 6.345636159049276e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0.08884819361181087 y[1] (numeric) = 0.08884819361181079 absolute error = 8.326672684688674e-17 relative error = 9.371797384051467e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0.09023091242784427 y[1] (numeric) = 0.09023091242784416 absolute error = 1.110223024625157e-16 relative error = 1.230424246804529e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0.0916274675308303 y[1] (numeric) = 0.0916274675308303 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0.09303791657581069 y[1] (numeric) = 0.09303791657581068 absolute error = 1.387778780781446e-17 relative error = 1.491627104150202e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0.09446231699552404 y[1] (numeric) = 0.09446231699552399 absolute error = 5.551115123125783e-17 relative error = 5.876539237745792e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0.09590072599948726 y[1] (numeric) = 0.09590072599948724 absolute error = 2.775557561562891e-17 relative error = 2.894198696241081e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0.0973532005730805 y[1] (numeric) = 0.09735320057308039 absolute error = 1.110223024625157e-16 relative error = 1.140407319009241e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0.09881979747663462 y[1] (numeric) = 0.09881979747663458 absolute error = 4.163336342344337e-17 relative error = 4.213058970626543e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0.1003005732445241 y[1] (numeric) = 0.100300573244524 absolute error = 9.71445146547012e-17 relative error = 9.685339925014317e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0.1017955841842613 y[1] (numeric) = 0.1017955841842612 absolute error = 5.551115123125783e-17 relative error = 5.453198355910654e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0.1033048863755965 y[1] (numeric) = 0.1033048863755965 absolute error = 1.387778780781446e-17 relative error = 1.34338154706037e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0.1048285356696204 y[1] (numeric) = 0.1048285356696203 absolute error = 5.551115123125783e-17 relative error = 5.295423700871664e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0.1063665876878698 y[1] (numeric) = 0.1063665876878697 absolute error = 8.326672684688674e-17 relative error = 7.82827847135897e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0.1079190978214387 y[1] (numeric) = 0.1079190978214386 absolute error = 2.775557561562891e-17 relative error = 2.571887291121806e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.719 Order of pole (six term test) = -13.6 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0.1094861212300914 y[1] (numeric) = 0.1094861212300914 absolute error = 2.775557561562891e-17 relative error = 2.535077076782999e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 21.63 Order of pole (six term test) = -37.12 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0.1110677128413802 y[1] (numeric) = 0.1110677128413801 absolute error = 2.775557561562891e-17 relative error = 2.498977867246412e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.51 Order of pole (six term test) = -17.11 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0.1126639273497663 y[1] (numeric) = 0.1126639273497662 absolute error = 5.551115123125783e-17 relative error = 4.9271450531742e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.67 Order of pole (six term test) = -18.41 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0.114274819215745 y[1] (numeric) = 0.1142748192157449 absolute error = 1.387778780781446e-16 relative error = 1.214422206314228e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.16 Order of pole (six term test) = -20.25 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0.115900442664974 y[1] (numeric) = 0.115900442664974 absolute error = 1.387778780781446e-17 relative error = 1.197388680208073e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0.1175408516874063 y[1] (numeric) = 0.1175408516874063 absolute error = 1.387778780781446e-17 relative error = 1.180677833160653e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0.119196100036426 y[1] (numeric) = 0.1191961000364258 absolute error = 1.249000902703301e-16 relative error = 1.047853832735811e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.94 Order of pole (six term test) = -11.24 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0.1208662412279876 y[1] (numeric) = 0.1208662412279877 absolute error = 2.775557561562891e-17 relative error = 2.296387753407017e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.008 Order of pole (six term test) = -12.3 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0.1225513285397618 y[1] (numeric) = 0.1225513285397617 absolute error = 1.387778780781446e-16 relative error = 1.132406149584238e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.479 Order of pole (six term test) = -12.03 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0.1242514150102802 y[1] (numeric) = 0.1242514150102801 absolute error = 2.775557561562891e-17 relative error = 2.233823704408719e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0.1259665534380892 y[1] (numeric) = 0.1259665534380891 absolute error = 8.326672684688674e-17 relative error = 6.610225061671721e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.73 Order of pole (six term test) = -13.89 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0.1276967963809039 y[1] (numeric) = 0.1276967963809038 absolute error = 1.387778780781446e-16 relative error = 1.086776505059588e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0.1294421961547672 y[1] (numeric) = 0.1294421961547672 absolute error = 2.775557561562891e-17 relative error = 2.144244801165382e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0.1312028048332137 y[1] (numeric) = 0.1312028048332136 absolute error = 1.665334536937735e-16 relative error = 1.269282725361492e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0.1329786742464351 y[1] (numeric) = 0.1329786742464349 absolute error = 1.665334536937735e-16 relative error = 1.252332034722762e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.383 Order of pole (six term test) = -11.9 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0.134769855980452 y[1] (numeric) = 0.1347698559804519 absolute error = 5.551115123125783e-17 relative error = 4.118959008111545e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.871 Order of pole (six term test) = -11.2 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0.1365764013762884 y[1] (numeric) = 0.1365764013762883 absolute error = 5.551115123125783e-17 relative error = 4.064476049439633e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.212 Order of pole (six term test) = -12.71 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0.1383983615291499 y[1] (numeric) = 0.1383983615291497 absolute error = 1.665334536937735e-16 relative error = 1.203290644872972e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.487 Order of pole (six term test) = -11.56 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0.1402357872876059 y[1] (numeric) = 0.1402357872876058 absolute error = 1.110223024625157e-16 relative error = 7.916830975164914e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0.1420887292527771 y[1] (numeric) = 0.142088729252777 absolute error = 1.110223024625157e-16 relative error = 7.813589652491437e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0.1439572377775247 y[1] (numeric) = 0.1439572377775247 absolute error = 2.775557561562891e-17 relative error = 1.928043080301604e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.24 Order of pole (six term test) = -13.17 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0.1458413629656459 y[1] (numeric) = 0.1458413629656457 absolute error = 1.387778780781446e-16 relative error = 9.515673417755622e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.523 Order of pole (six term test) = -11.54 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0.1477411546710707 y[1] (numeric) = 0.1477411546710706 absolute error = 1.387778780781446e-16 relative error = 9.393312133448401e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.7 Order of pole (six term test) = -11.58 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0.149656662497066 y[1] (numeric) = 0.1496566624970659 absolute error = 5.551115123125783e-17 relative error = 3.709233541964503e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.255 Order of pole (six term test) = -11.1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0.1515879357954406 y[1] (numeric) = 0.1515879357954406 absolute error = 2.775557561562891e-17 relative error = 1.830988427277187e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0.1535350236657567 y[1] (numeric) = 0.1535350236657565 absolute error = 1.942890293094024e-16 relative error = 1.265437843891349e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0.1554979749545426 y[1] (numeric) = 0.1554979749545424 absolute error = 1.665334536937735e-16 relative error = 1.070968633144303e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.84 Order of pole (six term test) = -12.3 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0.1574768382545133 y[1] (numeric) = 0.1574768382545131 absolute error = 2.220446049250313e-16 relative error = 1.410014370279418e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0.1594716619037914 y[1] (numeric) = 0.1594716619037912 absolute error = 1.942890293094024e-16 relative error = 1.218329494970813e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.654 Order of pole (six term test) = -11.14 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0.1614824939851344 y[1] (numeric) = 0.1614824939851343 absolute error = 1.665334536937735e-16 relative error = 1.031278682809445e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0.1635093823251653 y[1] (numeric) = 0.1635093823251652 absolute error = 8.326672684688674e-17 relative error = 5.092473940198562e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.653 Order of pole (six term test) = -11.5 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0.1655523744936072 y[1] (numeric) = 0.1655523744936071 absolute error = 5.551115123125783e-17 relative error = 3.353086985375821e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0.1676115178025225 y[1] (numeric) = 0.1676115178025223 absolute error = 2.220446049250313e-16 relative error = 1.324757438129288e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0.1696868593055551 y[1] (numeric) = 0.169686859305555 absolute error = 8.326672684688674e-17 relative error = 4.907081620088706e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0.1717784457971791 y[1] (numeric) = 0.1717784457971788 absolute error = 2.498001805406602e-16 relative error = 1.454199794283867e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0.1738863238119479 y[1] (numeric) = 0.1738863238119479 absolute error = 8.326672684688674e-17 relative error = 4.788572500787171e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0.1760105396237524 y[1] (numeric) = 0.1760105396237521 absolute error = 2.498001805406602e-16 relative error = 1.419234217874928e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0.1781511392450774 y[1] (numeric) = 0.1781511392450773 absolute error = 1.110223024625157e-16 relative error = 6.23191650263799e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5665 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0.1803081684262687 y[1] (numeric) = 0.1803081684262685 absolute error = 2.220446049250313e-16 relative error = 1.23147279939139e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.096 Order of pole (six term test) = -11.32 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0.1824816726547982 y[1] (numeric) = 0.1824816726547981 absolute error = 8.326672684688674e-17 relative error = 4.563018610882801e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.218 Order of pole (six term test) = -11.08 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0.1846716971545384 y[1] (numeric) = 0.1846716971545382 absolute error = 1.665334536937735e-16 relative error = 9.01781140584925e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.169 Order of pole (six term test) = -11.33 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0.186878286885037 y[1] (numeric) = 0.1868782868850369 absolute error = 1.110223024625157e-16 relative error = 5.940888281516295e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.524 Order of pole (six term test) = -11.39 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0.1891014865407989 y[1] (numeric) = 0.1891014865407988 absolute error = 8.326672684688674e-17 relative error = 4.40328251089247e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0.1913413405505704 y[1] (numeric) = 0.1913413405505702 absolute error = 2.498001805406602e-16 relative error = 1.305521220985903e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0.1935978930766284 y[1] (numeric) = 0.1935978930766281 absolute error = 2.775557561562891e-16 relative error = 1.433671367727278e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.173 Order of pole (six term test) = -11.16 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0.1958711880140737 y[1] (numeric) = 0.1958711880140735 absolute error = 2.220446049250313e-16 relative error = 1.133625660702466e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.46 Order of pole (six term test) = -11.09 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0.1981612689901296 y[1] (numeric) = 0.1981612689901293 absolute error = 2.220446049250313e-16 relative error = 1.120524742582726e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.425 Order of pole (six term test) = -11.34 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0.2004681793634422 y[1] (numeric) = 0.2004681793634421 absolute error = 1.110223024625157e-16 relative error = 5.538150883349715e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0.2027919622233885 y[1] (numeric) = 0.2027919622233884 absolute error = 1.665334536937735e-16 relative error = 8.212034237842526e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.173 Order of pole (six term test) = -11.29 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0.2051326603893854 y[1] (numeric) = 0.2051326603893853 absolute error = 1.110223024625157e-16 relative error = 5.412219694892647e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0.2074903164102058 y[1] (numeric) = 0.2074903164102055 absolute error = 2.498001805406602e-16 relative error = 1.203912475832406e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0.2098649725632966 y[1] (numeric) = 0.2098649725632963 absolute error = 2.498001805406602e-16 relative error = 1.190290011189547e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.215 Order of pole (six term test) = -11.07 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0.2122566708541035 y[1] (numeric) = 0.2122566708541032 absolute error = 2.498001805406602e-16 relative error = 1.176877878728073e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.026 Order of pole (six term test) = -11.09 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0.2146654530153982 y[1] (numeric) = 0.214665453015398 absolute error = 2.220446049250313e-16 relative error = 1.034375125601155e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9875 Order of pole (six term test) = -11.06 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0.2170913605066109 y[1] (numeric) = 0.2170913605066107 absolute error = 2.220446049250313e-16 relative error = 1.022816405069559e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.944 Order of pole (six term test) = -11.12 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0.2195344345131667 y[1] (numeric) = 0.2195344345131665 absolute error = 1.942890293094024e-16 relative error = 8.850048045549309e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8802 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0.2219947159458271 y[1] (numeric) = 0.221994715945827 absolute error = 1.942890293094024e-16 relative error = 8.751966391705211e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.471 Order of pole (six term test) = -11.08 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0.2244722454400351 y[1] (numeric) = 0.2244722454400348 absolute error = 3.33066907387547e-16 relative error = 1.483777679216567e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.595 Order of pole (six term test) = -11.09 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0.2269670633552647 y[1] (numeric) = 0.2269670633552644 absolute error = 3.33066907387547e-16 relative error = 1.46746802141158e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.973 Order of pole (six term test) = -11.11 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0.2294792097743759 y[1] (numeric) = 0.2294792097743756 absolute error = 3.33066907387547e-16 relative error = 1.451403409115007e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.909 Order of pole (six term test) = -11.1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0.2320087245029728 y[1] (numeric) = 0.2320087245029726 absolute error = 1.942890293094024e-16 relative error = 8.374212207994486e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.365 Order of pole (six term test) = -11.06 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0.2345556470687674 y[1] (numeric) = 0.2345556470687671 absolute error = 2.498001805406602e-16 relative error = 1.064993248563414e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0.2371200167209461 y[1] (numeric) = 0.2371200167209457 absolute error = 3.885780586188048e-16 relative error = 1.63874001019535e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3434 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 0.2397018724295424 y[1] (numeric) = 0.2397018724295421 absolute error = 3.885780586188048e-16 relative error = 1.621088958047346e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.087 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 0.2423012528848135 y[1] (numeric) = 0.2423012528848132 absolute error = 3.608224830031759e-16 relative error = 1.489148234717159e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 0.2449181964966209 y[1] (numeric) = 0.2449181964966206 absolute error = 3.33066907387547e-16 relative error = 1.35991082799004e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 0.2475527413938159 y[1] (numeric) = 0.2475527413938156 absolute error = 2.775557561562891e-16 relative error = 1.121198475094822e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.504 Order of pole (six term test) = -11.07 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 0.2502049254236297 y[1] (numeric) = 0.2502049254236295 absolute error = 2.220446049250313e-16 relative error = 8.874509746324166e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5663 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 0.2528747861510679 y[1] (numeric) = 0.2528747861510676 absolute error = 2.775557561562891e-16 relative error = 1.097601545732902e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.09 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 0.2555623608583091 y[1] (numeric) = 0.2555623608583087 absolute error = 3.885780586188048e-16 relative error = 1.520482348471665e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.368 Order of pole (six term test) = -11.06 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 0.2582676865441085 y[1] (numeric) = 0.258267686544108 absolute error = 4.440892098500626e-16 relative error = 1.719491957327067e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.018 Order of pole (six term test) = -11.06 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 0.2609907999232061 y[1] (numeric) = 0.2609907999232057 absolute error = 3.33066907387547e-16 relative error = 1.276163403022438e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.308 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 0.2637317374257396 y[1] (numeric) = 0.2637317374257391 absolute error = 4.996003610813204e-16 relative error = 1.894350547104691e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9028 Order of pole (six term test) = -11.06 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 0.2664905351966604 y[1] (numeric) = 0.26649053519666 absolute error = 3.885780586188048e-16 relative error = 1.458130805028585e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.407 Order of pole (six term test) = -11.06 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 0.2692672290951567 y[1] (numeric) = 0.2692672290951563 absolute error = 4.440892098500626e-16 relative error = 1.649250862581296e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.285 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 0.2720618546940785 y[1] (numeric) = 0.272061854694078 absolute error = 4.440892098500626e-16 relative error = 1.632309719969458e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8623 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 0.274874447279369 y[1] (numeric) = 0.2748744472793687 absolute error = 3.885780586188048e-16 relative error = 1.413656534700997e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9133 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 0.2777050418495005 y[1] (numeric) = 0.2777050418495002 absolute error = 3.33066907387547e-16 relative error = 1.199354916890739e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.256 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 0.2805536731149135 y[1] (numeric) = 0.2805536731149131 absolute error = 3.33066907387547e-16 relative error = 1.187177140436598e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.391 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 0.2834203754974619 y[1] (numeric) = 0.2834203754974614 absolute error = 4.440892098500626e-16 relative error = 1.566892320534801e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7984 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 0.2863051831298618 y[1] (numeric) = 0.2863051831298614 absolute error = 3.885780586188048e-16 relative error = 1.35721629057115e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.312 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 0.2892081298551462 y[1] (numeric) = 0.2892081298551458 absolute error = 3.885780586188048e-16 relative error = 1.343593137625244e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8711 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 0.2921292492261227 y[1] (numeric) = 0.2921292492261223 absolute error = 3.33066907387547e-16 relative error = 1.140135430703608e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.354 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 0.295068574504837 y[1] (numeric) = 0.2950685745048366 absolute error = 3.885780586188048e-16 relative error = 1.31690763501633e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.172 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 0.2980261386620408 y[1] (numeric) = 0.2980261386620404 absolute error = 4.440892098500626e-16 relative error = 1.490101545601865e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7691 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 0.301001974376664 y[1] (numeric) = 0.3010019743766634 absolute error = 5.551115123125783e-16 relative error = 1.844212196488552e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.221 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 0.3039961140352916 y[1] (numeric) = 0.3039961140352912 absolute error = 4.440892098500626e-16 relative error = 1.460838442818079e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8503 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 0.3070085897316467 y[1] (numeric) = 0.3070085897316463 absolute error = 4.440892098500626e-16 relative error = 1.446504184909734e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.7741 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 0.3100394332660757 y[1] (numeric) = 0.3100394332660752 absolute error = 4.440892098500626e-16 relative error = 1.432363635721607e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.06 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 0.31308867614504 y[1] (numeric) = 0.3130886761450394 absolute error = 5.551115123125783e-16 relative error = 1.773016894598321e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.141 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 0.3161563495806118 y[1] (numeric) = 0.3161563495806112 absolute error = 6.106226635438361e-16 relative error = 1.931394591169338e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.124 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 0.319242484489975 y[1] (numeric) = 0.3192424844899744 absolute error = 6.106226635438361e-16 relative error = 1.912723691896375e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9974 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 0.3223471114949302 y[1] (numeric) = 0.3223471114949296 absolute error = 6.106226635438361e-16 relative error = 1.894301644931724e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9832 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 0.3254702609214047 y[1] (numeric) = 0.3254702609214042 absolute error = 4.996003610813204e-16 relative error = 1.535010786137431e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4113 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 0.3286119627989681 y[1] (numeric) = 0.3286119627989676 absolute error = 4.996003610813204e-16 relative error = 1.520335281850212e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5963 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 0.3317722468603504 y[1] (numeric) = 0.3317722468603499 absolute error = 4.996003610813204e-16 relative error = 1.505853385294196e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6209 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 0.3349511425409674 y[1] (numeric) = 0.3349511425409669 absolute error = 4.996003610813204e-16 relative error = 1.491561895538884e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.523 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 0.3381486789784494 y[1] (numeric) = 0.3381486789784489 absolute error = 4.440892098500626e-16 relative error = 1.31329571119917e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4332 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 0.341364885012175 y[1] (numeric) = 0.3413648850121744 absolute error = 6.106226635438361e-16 relative error = 1.788768237020213e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.4598 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 0.3445997891828093 y[1] (numeric) = 0.3445997891828089 absolute error = 4.440892098500626e-16 relative error = 1.288710045073401e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8983 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 0.3478534197318484 y[1] (numeric) = 0.3478534197318479 absolute error = 4.996003610813204e-16 relative error = 1.436238176029576e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8389 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 0.3511258046011659 y[1] (numeric) = 0.3511258046011654 absolute error = 4.996003610813204e-16 relative error = 1.422852876474865e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.3725 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 0.3544169714325672 y[1] (numeric) = 0.3544169714325666 absolute error = 6.106226635438361e-16 relative error = 1.722893407377405e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.9933 Order of pole (six term test) = -11.01 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 0.3577269475673465 y[1] (numeric) = 0.3577269475673459 absolute error = 6.106226635438361e-16 relative error = 1.706951818129047e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.2004 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 0.3610557600458495 y[1] (numeric) = 0.3610557600458489 absolute error = 6.106226635438361e-16 relative error = 1.691214297388012e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 0.364403435607041 y[1] (numeric) = 0.3644034356070404 absolute error = 6.106226635438361e-16 relative error = 1.675677570181607e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.8126 Order of pole (six term test) = -11.01 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 0.3677700006880766 y[1] (numeric) = 0.3677700006880761 absolute error = 5.551115123125783e-16 relative error = 1.509398567784203e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6723 Order of pole (six term test) = -11.01 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 0.3711554814238805 y[1] (numeric) = 0.3711554814238799 absolute error = 5.551115123125783e-16 relative error = 1.495630645633951e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 0.3745599036467262 y[1] (numeric) = 0.3745599036467256 absolute error = 5.551115123125783e-16 relative error = 1.482036669990558e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 0.3779832928858243 y[1] (numeric) = 0.3779832928858237 absolute error = 6.106226635438361e-16 relative error = 1.615475273739901e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 0.3814256743669129 y[1] (numeric) = 0.3814256743669125 absolute error = 4.440892098500626e-16 relative error = 1.164287670427949e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.5739 Order of pole (six term test) = -11.01 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 0.3848870730118558 y[1] (numeric) = 0.3848870730118552 absolute error = 5.551115123125783e-16 relative error = 1.442271126355753e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 0.3883675134382412 y[1] (numeric) = 0.3883675134382407 absolute error = 4.996003610813204e-16 relative error = 1.286411308346386e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 0.3918670199589901 y[1] (numeric) = 0.3918670199589896 absolute error = 4.996003610813204e-16 relative error = 1.274923215364245e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 0.3953856165819662 y[1] (numeric) = 0.3953856165819657 absolute error = 5.551115123125783e-16 relative error = 1.403974977925126e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.424 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 0.398923327009592 y[1] (numeric) = 0.3989233270095914 absolute error = 6.106226635438361e-16 relative error = 1.53067675465655e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 0.4024801746384694 y[1] (numeric) = 0.4024801746384687 absolute error = 6.661338147750939e-16 relative error = 1.655072365672305e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 0.4060561825590052 y[1] (numeric) = 0.4060561825590047 absolute error = 5.551115123125783e-16 relative error = 1.367080557213073e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 0.4096513735550428 y[1] (numeric) = 0.4096513735550423 absolute error = 5.551115123125783e-16 relative error = 1.355082756088918e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.1918 Order of pole (six term test) = -11.01 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 0.413265770103496 y[1] (numeric) = 0.4132657701034956 absolute error = 4.440892098500626e-16 relative error = 1.074585029722755e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 0.4168993943739908 y[1] (numeric) = 0.4168993943739902 absolute error = 6.106226635438361e-16 relative error = 1.464676302686256e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 0.4205522682285093 y[1] (numeric) = 0.4205522682285087 absolute error = 6.106226635438361e-16 relative error = 1.451954274592216e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 0.4242244132210414 y[1] (numeric) = 0.4242244132210407 absolute error = 6.661338147750939e-16 relative error = 1.570239227198851e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.651 Order of pole (six term test) = -11 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 0.4279158505972386 y[1] (numeric) = 0.427915850597238 absolute error = 6.106226635438361e-16 relative error = 1.426969023679761e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 0.4316266012940752 y[1] (numeric) = 0.4316266012940745 absolute error = 6.661338147750939e-16 relative error = 1.543310381653805e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 0.4353566859395125 y[1] (numeric) = 0.4353566859395118 absolute error = 6.661338147750939e-16 relative error = 1.53008748065407e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 0.439106124852169 y[1] (numeric) = 0.4391061248521683 absolute error = 6.661338147750939e-16 relative error = 1.517022371298867e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 0.4428749380409955 y[1] (numeric) = 0.4428749380409948 absolute error = 7.216449660063518e-16 relative error = 1.62945541510762e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 0.4466631452049547 y[1] (numeric) = 0.446663145204954 absolute error = 7.216449660063518e-16 relative error = 1.615635795684955e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 0.4504707657327061 y[1] (numeric) = 0.4504707657327054 absolute error = 6.661338147750939e-16 relative error = 1.478750377267223e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 0.4542978187022958 y[1] (numeric) = 0.4542978187022951 absolute error = 6.661338147750939e-16 relative error = 1.466293227376501e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 0.4581443228808513 y[1] (numeric) = 0.4581443228808507 absolute error = 6.661338147750939e-16 relative error = 1.453982471257936e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 0.4620102967242812 y[1] (numeric) = 0.4620102967242805 absolute error = 7.216449660063518e-16 relative error = 1.561967278917629e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 0.4658957583769797 y[1] (numeric) = 0.4658957583769791 absolute error = 6.661338147750939e-16 relative error = 1.429791541987149e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 0.4698007256715367 y[1] (numeric) = 0.469800725671536 absolute error = 7.771561172376096e-16 relative error = 1.654225025146006e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 0.4737252161284519 y[1] (numeric) = 0.4737252161284513 absolute error = 6.661338147750939e-16 relative error = 1.40616077020158e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.387 Order of pole (six term test) = -10.94 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 0.4776692469558553 y[1] (numeric) = 0.4776692469558547 absolute error = 6.661338147750939e-16 relative error = 1.394550348426881e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 0.4816328350492312 y[1] (numeric) = 0.4816328350492304 absolute error = 7.771561172376096e-16 relative error = 1.613586243882585e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.6115 Order of pole (six term test) = -10.99 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 0.4856159969911474 y[1] (numeric) = 0.4856159969911468 absolute error = 6.106226635438361e-16 relative error = 1.257418757469325e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 0.03117 Order of pole (six term test) = -10.99 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 0.4896187490509919 y[1] (numeric) = 0.4896187490509912 absolute error = 6.661338147750939e-16 relative error = 1.360515331707035e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.465 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0.49364110718471 y[1] (numeric) = 0.4936411071847094 absolute error = 6.661338147750939e-16 relative error = 1.349429383168936e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0.497683087034551 y[1] (numeric) = 0.4976830870345503 absolute error = 7.216449660063518e-16 relative error = 1.450009021416178e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.612 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0.5017447039288164 y[1] (numeric) = 0.5017447039288159 absolute error = 5.551115123125783e-16 relative error = 1.106362474712505e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0.5058259728816166 y[1] (numeric) = 0.5058259728816158 absolute error = 7.771561172376096e-16 relative error = 1.536410067696336e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0.5099269085926279 y[1] (numeric) = 0.5099269085926272 absolute error = 6.661338147750939e-16 relative error = 1.306331953757038e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0.5140475254468604 y[1] (numeric) = 0.5140475254468597 absolute error = 6.661338147750939e-16 relative error = 1.295860366599421e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 0.5181878375144253 y[1] (numeric) = 0.5181878375144248 absolute error = 5.551115123125783e-16 relative error = 1.071255386801943e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.771 Order of pole (six term test) = -10.93 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 0.5223478585503113 y[1] (numeric) = 0.5223478585503109 absolute error = 4.440892098500626e-16 relative error = 8.501790570800033e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.217 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 0.526527601994164 y[1] (numeric) = 0.5265276019941636 absolute error = 4.440892098500626e-16 relative error = 8.434300655238675e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.155 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 0.5307270809700707 y[1] (numeric) = 0.5307270809700704 absolute error = 3.33066907387547e-16 relative error = 6.275671985284082e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0.5349463082863508 y[1] (numeric) = 0.5349463082863505 absolute error = 3.33066907387547e-16 relative error = 6.22617451935494e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0.5391852964353504 y[1] (numeric) = 0.5391852964353502 absolute error = 2.220446049250313e-16 relative error = 4.118150223921304e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0.5434440575932431 y[1] (numeric) = 0.5434440575932429 absolute error = 2.220446049250313e-16 relative error = 4.085877871374705e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0.5477226036198344 y[1] (numeric) = 0.5477226036198343 absolute error = 1.110223024625157e-16 relative error = 2.026980477504165e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.95 Order of pole (six term test) = -9.808 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 0.5520209460583725 y[1] (numeric) = 0.5520209460583725 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 0.5563390961353635 y[1] (numeric) = 0.5563390961353636 absolute error = 1.110223024625157e-16 relative error = 1.995586922323767e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.32 Order of pole (six term test) = -10.95 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 0.5606770647603916 y[1] (numeric) = 0.5606770647603918 absolute error = 2.220446049250313e-16 relative error = 3.960294060181029e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 0.5650348625259446 y[1] (numeric) = 0.5650348625259449 absolute error = 3.33066907387547e-16 relative error = 5.894625791736056e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.499 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 0.5694124997072447 y[1] (numeric) = 0.5694124997072451 absolute error = 3.33066907387547e-16 relative error = 5.849307971967397e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0.5738099862620836 y[1] (numeric) = 0.573809986262084 absolute error = 4.440892098500626e-16 relative error = 7.739307793211324e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 0.5782273318306635 y[1] (numeric) = 0.5782273318306641 absolute error = 5.551115123125783e-16 relative error = 9.600229559455435e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 0.5826645457354431 y[1] (numeric) = 0.5826645457354438 absolute error = 6.661338147750939e-16 relative error = 1.143254415684921e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.059 Order of pole (six term test) = -10.83 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 0.5871216369809877 y[1] (numeric) = 0.5871216369809885 absolute error = 7.771561172376096e-16 relative error = 1.323671396669674e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.875 Order of pole (six term test) = -10.84 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 0.5915986142538261 y[1] (numeric) = 0.5915986142538269 absolute error = 7.771561172376096e-16 relative error = 1.31365439085388e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.458 Order of pole (three term test) = -334.6 Radius of convergence (six term test) for eq 1 = 18.01 Order of pole (six term test) = -9.13 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 0.5960954859223103 y[1] (numeric) = 0.5960954859223112 absolute error = 8.881784197001252e-16 relative error = 1.489993534049145e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 0.6006122600364832 y[1] (numeric) = 0.6006122600364843 absolute error = 1.110223024625157e-15 relative error = 1.84848545142538e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.525 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 0.6051489443279486 y[1] (numeric) = 0.6051489443279497 absolute error = 1.110223024625157e-15 relative error = 1.834627714435031e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.63 Order of pole (six term test) = -10.81 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 0.6097055462097479 y[1] (numeric) = 0.6097055462097491 absolute error = 1.221245327087672e-15 relative error = 2.003008394264377e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 0.6142820727762417 y[1] (numeric) = 0.6142820727762429 absolute error = 1.221245327087672e-15 relative error = 1.98808557373043e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 0.6188785308029957 y[1] (numeric) = 0.618878530802997 absolute error = 1.332267629550188e-15 relative error = 2.152712629765277e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 0.623494926746673 y[1] (numeric) = 0.6234949267466744 absolute error = 1.443289932012704e-15 relative error = 2.314838293141581e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.664 Order of pole (six term test) = -10.93 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 0.6281312667449301 y[1] (numeric) = 0.6281312667449317 absolute error = 1.554312234475219e-15 relative error = 2.474502252578345e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.134 Order of pole (six term test) = -10.99 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 0.6327875566163195 y[1] (numeric) = 0.6327875566163212 absolute error = 1.77635683940025e-15 relative error = 2.807193063180469e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.843 Order of pole (three term test) = -1154 Radius of convergence (six term test) for eq 1 = 6.469 Order of pole (six term test) = -10.79 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0.6374638018601958 y[1] (numeric) = 0.6374638018601977 absolute error = 1.887379141862766e-15 relative error = 2.960762848580841e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.404 Order of pole (three term test) = -355.7 Radius of convergence (six term test) for eq 1 = 8.786 Order of pole (six term test) = -10.62 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 0.6421600076566285 y[1] (numeric) = 0.6421600076566303 absolute error = 1.77635683940025e-15 relative error = 2.766221530802791e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.521 Order of pole (six term test) = -10.94 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 0.6468761788663179 y[1] (numeric) = 0.6468761788663199 absolute error = 1.998401444325282e-15 relative error = 3.089310612469264e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.753 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 0.6516123200305189 y[1] (numeric) = 0.6516123200305209 absolute error = 1.998401444325282e-15 relative error = 3.066856446532019e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 0.6563684353709671 y[1] (numeric) = 0.6563684353709692 absolute error = 2.109423746787797e-15 relative error = 3.213779994761007e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 2.704 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0.6611445287898119 y[1] (numeric) = 0.6611445287898141 absolute error = 2.220446049250313e-15 relative error = 3.358488125606538e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.351 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 0.6659406038695538 y[1] (numeric) = 0.6659406038695561 absolute error = 2.331468351712829e-15 relative error = 3.501015463189151e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 0.6707566638729873 y[1] (numeric) = 0.6707566638729897 absolute error = 2.442490654175344e-15 relative error = 3.641396031866853e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 0.6755927117431483 y[1] (numeric) = 0.6755927117431508 absolute error = 2.55351295663786e-15 relative error = 3.779663267901968e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 0.6804487501032672 y[1] (numeric) = 0.68044875010327 absolute error = 2.775557561562891e-15 relative error = 4.079010448827576e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.626 Order of pole (six term test) = -10.96 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 0.6853247812567276 y[1] (numeric) = 0.6853247812567305 absolute error = 2.886579864025407e-15 relative error = 4.211988159441842e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.532 Order of pole (six term test) = -11 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 0.6902208071870282 y[1] (numeric) = 0.690220807187031 absolute error = 2.886579864025407e-15 relative error = 4.182110759293924e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7832 Order of pole (three term test) = -125 Radius of convergence (six term test) for eq 1 = 9.836 Order of pole (six term test) = -10.63 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 0.6951368295577517 y[1] (numeric) = 0.6951368295577547 absolute error = 2.997602166487923e-15 relative error = 4.312247659780891e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.206 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 0.7000728497125386 y[1] (numeric) = 0.7000728497125417 absolute error = 3.108624468950438e-15 relative error = 4.440429978432802e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.829 Order of pole (six term test) = -11 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0.705028868675065 y[1] (numeric) = 0.7050288686750682 absolute error = 3.219646771412954e-15 relative error = 4.56668785416336e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.997 Order of pole (three term test) = -300.3 Radius of convergence (six term test) for eq 1 = 6.196 Order of pole (six term test) = -10.88 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 0.7100048871490265 y[1] (numeric) = 0.7100048871490299 absolute error = 3.33066907387547e-15 relative error = 4.691050912690941e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.551 Order of pole (three term test) = -379.7 Radius of convergence (six term test) for eq 1 = 5.564 Order of pole (six term test) = -10.91 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 0.7150009055181272 y[1] (numeric) = 0.7150009055181306 absolute error = 3.33066907387547e-15 relative error = 4.658272525489869e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.131 Order of pole (three term test) = -175.9 Radius of convergence (six term test) for eq 1 = 7.401 Order of pole (six term test) = -10.83 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 0.7200169238460729 y[1] (numeric) = 0.7200169238460764 absolute error = 3.552713678800501e-15 relative error = 4.934208573630708e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.3 Order of pole (three term test) = -343.1 Radius of convergence (six term test) for eq 1 = 5.539 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 0.7250529418765707 y[1] (numeric) = 0.7250529418765744 absolute error = 3.774758283725532e-15 relative error = 5.206182977419224e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.88 Order of pole (three term test) = -3856 Radius of convergence (six term test) for eq 1 = 3.203 Order of pole (six term test) = -10.99 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 0.7301089590333332 y[1] (numeric) = 0.7301089590333368 absolute error = 3.663735981263017e-15 relative error = 5.01806742121589e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 10.59 Order of pole (three term test) = -1525 Radius of convergence (six term test) for eq 1 = 3.541 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 0.7351849744200867 y[1] (numeric) = 0.7351849744200905 absolute error = 3.774758283725532e-15 relative error = 5.134433394402625e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.884 Order of pole (three term test) = -282.8 Radius of convergence (six term test) for eq 1 = 5.624 Order of pole (six term test) = -10.93 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 0.7402809868205866 y[1] (numeric) = 0.7402809868205906 absolute error = 3.996802888650564e-15 relative error = 5.39903490675389e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 0.7453969946986368 y[1] (numeric) = 0.745396994698641 absolute error = 4.107825191113079e-15 relative error = 5.510922663129153e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 80.52 Order of pole (six term test) = 5.8 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 0.7505329961981139 y[1] (numeric) = 0.750532996198118 absolute error = 4.107825191113079e-15 relative error = 5.473210654190559e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.149 Order of pole (three term test) = -460.8 Radius of convergence (six term test) for eq 1 = 4.468 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 0.7556889891429961 y[1] (numeric) = 0.7556889891430005 absolute error = 4.440892098500626e-15 relative error = 5.876613477638343e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7751 Order of pole (three term test) = -125.4 Radius of convergence (six term test) for eq 1 = 7.385 Order of pole (six term test) = -10.88 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 0.7608649710374004 y[1] (numeric) = 0.7608649710374048 absolute error = 4.440892098500626e-15 relative error = 5.836636285733719e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 0.7660609390656198 y[1] (numeric) = 0.7660609390656243 absolute error = 4.551914400963142e-15 relative error = 5.941974285381533e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4781 Order of pole (three term test) = -84.09 Radius of convergence (six term test) for eq 1 = 8.594 Order of pole (six term test) = -10.83 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 0.7712768900921702 y[1] (numeric) = 0.7712768900921748 absolute error = 4.662936703425657e-15 relative error = 6.04573631509745e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 0.7765128206618396 y[1] (numeric) = 0.7765128206618443 absolute error = 4.773959005888173e-15 relative error = 6.147946149580916e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 0.7817687269997441 y[1] (numeric) = 0.781768726999749 absolute error = 4.884981308350689e-15 relative error = 6.248627170209494e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 0.7870446050113875 y[1] (numeric) = 0.7870446050113926 absolute error = 5.10702591327572e-15 relative error = 6.488864647260784e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 0.7923404502827279 y[1] (numeric) = 0.792340450282733 absolute error = 5.10702591327572e-15 relative error = 6.445494372341332e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9018 Order of pole (three term test) = -142.7 Radius of convergence (six term test) for eq 1 = 6.247 Order of pole (six term test) = -10.95 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 0.797656258080247 y[1] (numeric) = 0.7976562580802522 absolute error = 5.218048215738236e-15 relative error = 6.541725414775448e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.51 Order of pole (six term test) = -9.464 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 0.8029920233510267 y[1] (numeric) = 0.8029920233510321 absolute error = 5.440092820663267e-15 relative error = 6.774778157771486e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03148 Order of pole (three term test) = -27.54 Radius of convergence (six term test) for eq 1 = 14.71 Order of pole (six term test) = -10.47 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 0.8083477407228301 y[1] (numeric) = 0.8083477407228357 absolute error = 5.551115123125783e-15 relative error = 6.867236516504565e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 0.8137234045041867 y[1] (numeric) = 0.8137234045041923 absolute error = 5.662137425588298e-15 relative error = 6.958307201497196e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 0.8191190086844841 y[1] (numeric) = 0.8191190086844897 absolute error = 5.662137425588298e-15 relative error = 6.912472260510431e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 0.8245345469340636 y[1] (numeric) = 0.8245345469340694 absolute error = 5.773159728050814e-15 relative error = 7.001719636269506e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.54 Order of pole (six term test) = -9.144 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 0.8299700126043223 y[1] (numeric) = 0.8299700126043281 absolute error = 5.773159728050814e-15 relative error = 6.955865441373596e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 0.8354253987278187 y[1] (numeric) = 0.8354253987278246 absolute error = 5.88418203051333e-15 relative error = 7.043336292472948e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 0.8409006980183845 y[1] (numeric) = 0.8409006980183906 absolute error = 6.106226635438361e-15 relative error = 7.261531177019978e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 0.8463959028712412 y[1] (numeric) = 0.8463959028712476 absolute error = 6.328271240363392e-15 relative error = 7.476727166206624e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2369 Order of pole (three term test) = -52.27 Radius of convergence (six term test) for eq 1 = 8.565 Order of pole (six term test) = -10.93 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 0.8519110053631219 y[1] (numeric) = 0.8519110053631282 absolute error = 6.328271240363392e-15 relative error = 7.428324320879039e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3631 Order of pole (three term test) = -68.82 Radius of convergence (six term test) for eq 1 = 7.46 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 0.8574459972523975 y[1] (numeric) = 0.857445997252404 absolute error = 6.550315845288424e-15 relative error = 7.639333399745612e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 15.61 Order of pole (six term test) = -10.46 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 0.8630008699792092 y[1] (numeric) = 0.8630008699792159 absolute error = 6.661338147750939e-15 relative error = 7.718808148955191e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 0.8685756146656054 y[1] (numeric) = 0.8685756146656121 absolute error = 6.661338147750939e-15 relative error = 7.669266826372394e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 0.8741702221156832 y[1] (numeric) = 0.87417022211569 absolute error = 6.772360450213455e-15 relative error = 7.74718730846592e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04599 Order of pole (three term test) = -29.41 Radius of convergence (six term test) for eq 1 = 10.78 Order of pole (six term test) = -10.86 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 0.8797846828157361 y[1] (numeric) = 0.879784682815743 absolute error = 6.883382752675971e-15 relative error = 7.823940206194338e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.251 Order of pole (three term test) = -54.18 Radius of convergence (six term test) for eq 1 = 7.821 Order of pole (six term test) = -10.99 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 0.885418986934406 y[1] (numeric) = 0.885418986934413 absolute error = 6.994405055138486e-15 relative error = 7.899542655342503e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 53 Order of pole (six term test) = -10.17 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 0.8910731243228406 y[1] (numeric) = 0.8910731243228477 absolute error = 7.105427357601002e-15 relative error = 7.974011518976828e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4977 Order of pole (three term test) = -86.36 Radius of convergence (six term test) for eq 1 = 6.235 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 0.8967470845148555 y[1] (numeric) = 0.8967470845148628 absolute error = 7.327471962526033e-15 relative error = 8.171168982935953e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03911 Order of pole (three term test) = -28.78 Radius of convergence (six term test) for eq 1 = 10.3 Order of pole (six term test) = -10.91 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 0.9024408567271023 y[1] (numeric) = 0.9024408567271097 absolute error = 7.438494264988549e-15 relative error = 8.242639071069835e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 0.9081544298592401 y[1] (numeric) = 0.9081544298592477 absolute error = 7.549516567451064e-15 relative error = 8.313031703893363e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.52 Order of pole (six term test) = -10.85 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 0.9138877924941141 y[1] (numeric) = 0.9138877924941219 absolute error = 7.771561172376096e-15 relative error = 8.503846135384447e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.222 Order of pole (six term test) = -11.24 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 0.919640932897938 y[1] (numeric) = 0.9196409328979458 absolute error = 7.771561172376096e-15 relative error = 8.450647306320569e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2072 Order of pole (three term test) = -48.65 Radius of convergence (six term test) for eq 1 = 7.597 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 0.925413839020481 y[1] (numeric) = 0.925413839020489 absolute error = 7.993605777301127e-15 relative error = 8.637871447613195e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.099 Order of pole (six term test) = -11.25 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 0.9312064984952619 y[1] (numeric) = 0.93120649849527 absolute error = 8.104628079763643e-15 relative error = 8.703362887673061e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 15.49 Order of pole (six term test) = -11.2 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 0.937018898639746 y[1] (numeric) = 0.9370188986397543 absolute error = 8.326672684688674e-15 relative error = 8.886344444894719e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 0.9428510264555483 y[1] (numeric) = 0.9428510264555567 absolute error = 8.43769498715119e-15 relative error = 8.949128494743166e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.7 Order of pole (six term test) = -11.23 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 0.9487028686286415 y[1] (numeric) = 0.9487028686286501 absolute error = 8.548717289613705e-15 relative error = 9.010953347248704e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 0.954574411529569 y[1] (numeric) = 0.9545744115295777 absolute error = 8.659739592076221e-15 relative error = 9.071832941970681e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.51 Order of pole (six term test) = -8.018 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 0.9604656412136627 y[1] (numeric) = 0.9604656412136717 absolute error = 8.992806499463768e-15 relative error = 9.362965330129129e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07271 Order of pole (three term test) = -32.57 Radius of convergence (six term test) for eq 1 = 8.472 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 0.9663765434212672 y[1] (numeric) = 0.9663765434212763 absolute error = 9.103828801926284e-15 relative error = 9.420581308499021e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.68 Order of pole (six term test) = -11.27 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 0.9723071035779663 y[1] (numeric) = 0.9723071035779756 absolute error = 9.214851104388799e-15 relative error = 9.477305133819675e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08194 Order of pole (three term test) = -33.63 Radius of convergence (six term test) for eq 1 = 8.181 Order of pole (six term test) = -11.05 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 0.9782573067948175 y[1] (numeric) = 0.9782573067948267 absolute error = 9.214851104388799e-15 relative error = 9.419659879240288e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 7.791 Order of pole (six term test) = -11.3 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 0.9842271378685892 y[1] (numeric) = 0.9842271378685986 absolute error = 9.436895709313831e-15 relative error = 9.588127929240065e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 0.9902165812820054 y[1] (numeric) = 0.9902165812820148 absolute error = 9.436895709313831e-15 relative error = 9.530132990801011e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 0.9962256212039923 y[1] (numeric) = 0.9962256212040019 absolute error = 9.658940314238862e-15 relative error = 9.695534935716182e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05072 Order of pole (three term test) = -0.5036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 1.002254241489933 y[1] (numeric) = 1.002254241489942 absolute error = 9.769962616701378e-15 relative error = 9.747988297038815e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.451 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 1.008302425681924 y[1] (numeric) = 1.008302425681934 absolute error = 9.769962616701378e-15 relative error = 9.689516129145344e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.54 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 1.014370157009042 y[1] (numeric) = 1.014370157009052 absolute error = 9.992007221626409e-15 relative error = 9.85045464181311e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.1 Order of pole (six term test) = -10.94 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 1.020457418387607 y[1] (numeric) = 1.020457418387617 absolute error = 1.021405182655144e-14 relative error = 1.000928764150722e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.018 Order of pole (three term test) = -0.8411 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 1.026564192421461 y[1] (numeric) = 1.026564192421472 absolute error = 1.043609643147647e-14 relative error = 1.016604369071143e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04421 Order of pole (three term test) = -0.6151 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 1.032690461402244 y[1] (numeric) = 1.032690461402254 absolute error = 1.043609643147647e-14 relative error = 1.010573528228949e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 21.72 Order of pole (six term test) = -9.802 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = 1.038836207309674 y[1] (numeric) = 1.038836207309685 absolute error = 1.06581410364015e-14 relative error = 1.025969345447e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.8 Order of pole (six term test) = -10.82 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = 1.045001411811843 y[1] (numeric) = 1.045001411811854 absolute error = 1.088018564132653e-14 relative error = 1.041164683448825e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 5.945 Order of pole (six term test) = -11.36 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 1.051186056265503 y[1] (numeric) = 1.051186056265514 absolute error = 1.088018564132653e-14 relative error = 1.035038999659112e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03441 Order of pole (three term test) = -28.5 Radius of convergence (six term test) for eq 1 = 7.848 Order of pole (six term test) = -11.11 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = 1.057390121716368 y[1] (numeric) = 1.057390121716379 absolute error = 1.110223024625157e-14 relative error = 1.049965383469849e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2476 Order of pole (three term test) = 3.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = 1.063613588899416 y[1] (numeric) = 1.063613588899428 absolute error = 1.110223024625157e-14 relative error = 1.043821775325351e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 21.91 Order of pole (six term test) = -9.783 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = 1.0698564382392 y[1] (numeric) = 1.069856438239211 absolute error = 1.13242748511766e-14 relative error = 1.058485460891782e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.481 Order of pole (six term test) = -11.1 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = 1.076118649850155 y[1] (numeric) = 1.076118649850166 absolute error = 1.13242748511766e-14 relative error = 1.052325861349346e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = 1.082400203536922 y[1] (numeric) = 1.082400203536934 absolute error = 1.154631945610163e-14 relative error = 1.066732934673526e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009161 Order of pole (three term test) = -25.93 Radius of convergence (six term test) for eq 1 = 7.868 Order of pole (six term test) = -11.12 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 1.088701078794672 y[1] (numeric) = 1.088701078794683 absolute error = 1.176836406102666e-14 relative error = 1.080954569646951e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.03 Order of pole (six term test) = -11.03 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = 1.095021254809426 y[1] (numeric) = 1.095021254809438 absolute error = 1.176836406102666e-14 relative error = 1.074715582856407e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2371 Order of pole (three term test) = 2.883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = 1.101360710458397 y[1] (numeric) = 1.101360710458409 absolute error = 1.176836406102666e-14 relative error = 1.068529497128017e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 19.24 Order of pole (six term test) = -10.16 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 1.107719424310323 y[1] (numeric) = 1.107719424310335 absolute error = 1.199040866595169e-14 relative error = 1.08244095055181e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 6.79 Order of pole (six term test) = -11.36 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = 1.114097374625811 y[1] (numeric) = 1.114097374625823 absolute error = 1.221245327087672e-14 relative error = 1.096174674586096e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.42 Order of pole (six term test) = -11.02 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = 1.120494539357686 y[1] (numeric) = 1.120494539357699 absolute error = 1.221245327087672e-14 relative error = 1.089916357635924e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 20.09 Order of pole (six term test) = -10.05 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = 1.126910896151342 y[1] (numeric) = 1.126910896151355 absolute error = 1.243449787580175e-14 relative error = 1.103414468550122e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 10.16 Order of pole (six term test) = -11.04 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = 1.133346422345101 y[1] (numeric) = 1.133346422345113 absolute error = 1.243449787580175e-14 relative error = 1.09714890616344e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.01 Order of pole (six term test) = -10.83 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = 1.139801094970573 y[1] (numeric) = 1.139801094970586 absolute error = 1.287858708565182e-14 relative error = 1.129897763958922e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = 1.146274890753028 y[1] (numeric) = 1.146274890753041 absolute error = 1.287858708565182e-14 relative error = 1.123516460976601e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 8.764 Order of pole (six term test) = -11.11 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = 1.152767786111765 y[1] (numeric) = 1.152767786111778 absolute error = 1.287858708565182e-14 relative error = 1.117188321950835e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1284 Order of pole (three term test) = 0.4097 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = 1.15927975716049 y[1] (numeric) = 1.159279757160503 absolute error = 1.310063169057685e-14 relative error = 1.130066458045053e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4273 Order of pole (three term test) = 6.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = 1.165810779707698 y[1] (numeric) = 1.165810779707712 absolute error = 1.310063169057685e-14 relative error = 1.12373567980402e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = 1.172360829257062 y[1] (numeric) = 1.172360829257075 absolute error = 1.332267629550188e-14 relative error = 1.13639725611991e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3383 Order of pole (three term test) = 4.384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = 1.178929881007821 y[1] (numeric) = 1.178929881007835 absolute error = 1.332267629550188e-14 relative error = 1.130065198119573e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.6 Order of pole (six term test) = -10.79 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = 1.185517909855181 y[1] (numeric) = 1.185517909855195 absolute error = 1.376676550535194e-14 relative error = 1.161244835772548e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.88 Order of pole (six term test) = -4.958 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = 1.192124890390715 y[1] (numeric) = 1.192124890390729 absolute error = 1.376676550535194e-14 relative error = 1.154808998312243e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.31 Order of pole (six term test) = -10.9 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = 1.198750796902768 y[1] (numeric) = 1.198750796902782 absolute error = 1.376676550535194e-14 relative error = 1.148425973181529e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 16.15 Order of pole (six term test) = -10.54 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = 1.20539560337687 y[1] (numeric) = 1.205395603376884 absolute error = 1.398881011027697e-14 relative error = 1.160516105342333e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.48 Order of pole (six term test) = -10.81 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = 1.212059283496154 y[1] (numeric) = 1.212059283496168 absolute error = 1.4210854715202e-14 relative error = 1.172455416059449e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.068 Order of pole (three term test) = -0.499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = 1.218741810641772 y[1] (numeric) = 1.218741810641786 absolute error = 1.443289932012704e-14 relative error = 1.184245850442013e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = 1.225443157893326 y[1] (numeric) = 1.225443157893341 absolute error = 1.443289932012704e-14 relative error = 1.177769791047575e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 16.95 Order of pole (six term test) = -10.46 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 1.232163298029297 y[1] (numeric) = 1.232163298029312 absolute error = 1.465494392505207e-14 relative error = 1.189367022089601e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.13 Order of pole (six term test) = -11 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = 1.238902203527479 y[1] (numeric) = 1.238902203527494 absolute error = 1.509903313490213e-14 relative error = 1.218742939669591e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.745 Order of pole (three term test) = 53.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 1.245659846565421 y[1] (numeric) = 1.245659846565436 absolute error = 1.509903313490213e-14 relative error = 1.21213131951983e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.45 Order of pole (six term test) = -10.98 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = 1.252436199020872 y[1] (numeric) = 1.252436199020887 absolute error = 1.532107773982716e-14 relative error = 1.223302053374444e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4093 Order of pole (three term test) = 4.994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = 1.259231232472231 y[1] (numeric) = 1.259231232472246 absolute error = 1.532107773982716e-14 relative error = 1.216700900099778e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 11.54 Order of pole (six term test) = -10.97 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = 1.266044918199 y[1] (numeric) = 1.266044918199016 absolute error = 1.532107773982716e-14 relative error = 1.210152777329734e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.87 Order of pole (six term test) = -10.87 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = 1.272877227182247 y[1] (numeric) = 1.272877227182263 absolute error = 1.576516694967722e-14 relative error = 1.238545761760259e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4718 Order of pole (three term test) = 5.952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = 1.279728130105068 y[1] (numeric) = 1.279728130105084 absolute error = 1.576516694967722e-14 relative error = 1.231915324732518e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.31 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = 1.286597597353054 y[1] (numeric) = 1.28659759735307 absolute error = 1.598721155460225e-14 relative error = 1.242596099005089e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8119 Order of pole (three term test) = 12.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = 1.29348559901477 y[1] (numeric) = 1.293485599014786 absolute error = 1.598721155460225e-14 relative error = 1.235979091439401e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4061 Order of pole (three term test) = 4.548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = 1.30039210488223 y[1] (numeric) = 1.300392104882246 absolute error = 1.576516694967722e-14 relative error = 1.212339485182048e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 16.74 Order of pole (six term test) = -10.49 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = 1.307317084451379 y[1] (numeric) = 1.307317084451395 absolute error = 1.620925615952729e-14 relative error = 1.239887120906827e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 60.63 Order of pole (six term test) = 0.8948 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = 1.314260506922587 y[1] (numeric) = 1.314260506922604 absolute error = 1.620925615952729e-14 relative error = 1.233336623458476e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.135 Order of pole (three term test) = 17.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = 1.321222341201135 y[1] (numeric) = 1.321222341201152 absolute error = 1.643130076445232e-14 relative error = 1.243643878252503e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.28 Order of pole (six term test) = -8.942 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = 1.328202555897717 y[1] (numeric) = 1.328202555897734 absolute error = 1.665334536937735e-14 relative error = 1.253825728269401e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 13.18 Order of pole (six term test) = -10.85 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = 1.335201119328939 y[1] (numeric) = 1.335201119328956 absolute error = 1.665334536937735e-14 relative error = 1.24725370045729e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = 1.34221799951783 y[1] (numeric) = 1.342217999517847 absolute error = 1.709743457922741e-14 relative error = 1.273819497679914e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.01 Order of pole (six term test) = -8.809 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = 1.349253164194349 y[1] (numeric) = 1.349253164194366 absolute error = 1.709743457922741e-14 relative error = 1.267177653011949e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 12.36 Order of pole (six term test) = -10.92 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = 1.356306580795905 y[1] (numeric) = 1.356306580795922 absolute error = 1.731947918415244e-14 relative error = 1.276959017185411e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 16.68 Order of pole (six term test) = -10.51 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = 1.363378216467876 y[1] (numeric) = 1.363378216467894 absolute error = 1.731947918415244e-14 relative error = 1.270335624770525e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = 1.370468038064136 y[1] (numeric) = 1.370468038064153 absolute error = 1.754152378907747e-14 relative error = 1.279965916888939e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 20.32 Order of pole (six term test) = -10.06 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = 1.377576012147583 y[1] (numeric) = 1.377576012147601 absolute error = 1.754152378907747e-14 relative error = 1.273361588354821e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = 1.384702104990678 y[1] (numeric) = 1.384702104990696 absolute error = 1.754152378907747e-14 relative error = 1.266808487244667e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 11.64 Order of pole (three term test) = 195.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = 1.39184628257598 y[1] (numeric) = 1.391846282575998 absolute error = 1.77635683940025e-14 relative error = 1.276259355388464e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 21.31 Order of pole (six term test) = -9.921 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = 1.399008510596693 y[1] (numeric) = 1.399008510596711 absolute error = 1.77635683940025e-14 relative error = 1.269725542014475e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 23.36 Order of pole (six term test) = -9.614 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = 1.406188754457216 y[1] (numeric) = 1.406188754457234 absolute error = 1.84297022087776e-14 relative error = 1.310613681866017e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.92 Order of pole (six term test) = -6.626 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = 1.413386979273692 y[1] (numeric) = 1.413386979273711 absolute error = 1.84297022087776e-14 relative error = 1.303938870177522e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = 1.420603149874573 y[1] (numeric) = 1.420603149874591 absolute error = 1.84297022087776e-14 relative error = 1.297315313597945e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = 1.427837230801175 y[1] (numeric) = 1.427837230801194 absolute error = 1.865174681370263e-14 relative error = 1.306293631469249e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = 1.435089186308252 y[1] (numeric) = 1.43508918630827 absolute error = 1.865174681370263e-14 relative error = 1.299692520273531e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = 1.442358980364562 y[1] (numeric) = 1.442358980364581 absolute error = 1.887379141862766e-14 relative error = 1.308536340506386e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4722 Order of pole (three term test) = 4.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = 1.449646576653451 y[1] (numeric) = 1.44964657665347 absolute error = 1.887379141862766e-14 relative error = 1.301958127076623e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = 1.456951938573426 y[1] (numeric) = 1.456951938573445 absolute error = 1.887379141862766e-14 relative error = 1.295429925925211e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 64.08 Order of pole (six term test) = 2.31 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = 1.464275029238745 y[1] (numeric) = 1.464275029238764 absolute error = 1.887379141862766e-14 relative error = 1.288951258592442e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 21.73 Order of pole (six term test) = -9.866 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = 1.471615811480008 y[1] (numeric) = 1.471615811480027 absolute error = 1.909583602355269e-14 relative error = 1.297610142170732e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 19.81 Order of pole (six term test) = -10.13 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = 1.478974247844748 y[1] (numeric) = 1.478974247844767 absolute error = 1.931788062847772e-14 relative error = 1.306167477671023e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = 1.486350300598034 y[1] (numeric) = 1.486350300598053 absolute error = 1.953992523340276e-14 relative error = 1.314624501743691e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 20.5 Order of pole (six term test) = -10.04 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = 1.493743931723072 y[1] (numeric) = 1.493743931723092 absolute error = 1.953992523340276e-14 relative error = 1.308117463671497e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = 1.501155102921816 y[1] (numeric) = 1.501155102921836 absolute error = 1.976196983832779e-14 relative error = 1.316450898369097e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = 1.508583775615578 y[1] (numeric) = 1.508583775615598 absolute error = 1.998401444325282e-14 relative error = 1.324687085084044e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = 1.516029910945647 y[1] (numeric) = 1.516029910945667 absolute error = 2.042810365310288e-14 relative error = 1.347473655078516e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 25.33 Order of pole (six term test) = -9.302 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = 1.523493469773909 y[1] (numeric) = 1.52349346977393 absolute error = 2.042810365310288e-14 relative error = 1.340872413200069e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = 1.530974412683477 y[1] (numeric) = 1.530974412683497 absolute error = 2.042810365310288e-14 relative error = 1.334320383401882e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 16.48 Order of pole (six term test) = -10.54 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = 1.538472699979315 y[1] (numeric) = 1.538472699979335 absolute error = 2.065014825802791e-14 relative error = 1.342249898766846e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = 1.545988291688881 y[1] (numeric) = 1.545988291688902 absolute error = 2.065014825802791e-14 relative error = 1.335724750895048e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = 1.553521147562761 y[1] (numeric) = 1.553521147562782 absolute error = 2.109423746787797e-14 relative error = 1.357833943939008e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.98 Order of pole (six term test) = -6.366 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = 1.561071227075315 y[1] (numeric) = 1.561071227075336 absolute error = 2.131628207280301e-14 relative error = 1.365490677368982e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.81 Order of pole (six term test) = -6.917 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = 1.568638489425326 y[1] (numeric) = 1.568638489425347 absolute error = 2.153832667772804e-14 relative error = 1.373058663479477e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = 1.57622289353665 y[1] (numeric) = 1.576222893536671 absolute error = 2.153832667772804e-14 relative error = 1.366451836605508e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = 1.583824398058877 y[1] (numeric) = 1.583824398058898 absolute error = 2.176037128265307e-14 relative error = 1.373913125048611e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = 1.591442961367989 y[1] (numeric) = 1.591442961368011 absolute error = 2.220446049250313e-14 relative error = 1.395240736332541e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 24.1 Order of pole (six term test) = -9.511 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = 1.599078541567031 y[1] (numeric) = 1.599078541567053 absolute error = 2.220446049250313e-14 relative error = 1.388578479124839e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = 1.606731096486775 y[1] (numeric) = 1.606731096486797 absolute error = 2.242650509742816e-14 relative error = 1.39578459310741e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.89 Order of pole (six term test) = -7.38 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = 1.614400583686398 y[1] (numeric) = 1.614400583686421 absolute error = 2.264854970235319e-14 relative error = 1.402907675530966e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.48 Order of pole (six term test) = -7.002 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = 1.622086960454164 y[1] (numeric) = 1.622086960454186 absolute error = 2.264854970235319e-14 relative error = 1.396259895709407e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = 1.629790183808099 y[1] (numeric) = 1.629790183808122 absolute error = 2.309263891220326e-14 relative error = 1.416908700373073e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.28 Order of pole (six term test) = -6.552 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = 1.637510210496689 y[1] (numeric) = 1.637510210496713 absolute error = 2.309263891220326e-14 relative error = 1.410228697456415e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.2 Order of pole (six term test) = -7.31 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = 1.645246996999566 y[1] (numeric) = 1.645246996999589 absolute error = 2.309263891220326e-14 relative error = 1.403597086292652e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = 1.653000499528201 y[1] (numeric) = 1.653000499528225 absolute error = 2.331468351712829e-14 relative error = 1.410446247522778e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = 1.660770674026616 y[1] (numeric) = 1.660770674026639 absolute error = 2.331468351712829e-14 relative error = 1.403847254877204e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 23.67 Order of pole (six term test) = -9.583 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = 1.668557476172075 y[1] (numeric) = 1.668557476172099 absolute error = 2.375877272697835e-14 relative error = 1.423910956995296e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 88.03 Order of pole (six term test) = 14.48 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = 1.676360861375805 y[1] (numeric) = 1.676360861375829 absolute error = 2.353672812205332e-14 relative error = 1.404037082012074e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.47 Order of pole (six term test) = -8.145 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = 1.684180784783702 y[1] (numeric) = 1.684180784783726 absolute error = 2.375877272697835e-14 relative error = 1.410702042300623e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = 1.692017201277052 y[1] (numeric) = 1.692017201277076 absolute error = 2.398081733190338e-14 relative error = 1.417291580357684e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = 1.699870065473251 y[1] (numeric) = 1.699870065473275 absolute error = 2.398081733190338e-14 relative error = 1.410744139742647e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.32 Order of pole (six term test) = -6.546 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = 1.707739331726533 y[1] (numeric) = 1.707739331726557 absolute error = 2.442490654175344e-14 relative error = 1.430247935852116e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 215.6 Order of pole (six term test) = 144.1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = 1.715624954128699 y[1] (numeric) = 1.715624954128723 absolute error = 2.464695114667848e-14 relative error = 1.436616498691332e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 117.9 Order of pole (six term test) = 35.1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 1.723526886509852 y[1] (numeric) = 1.723526886509877 absolute error = 2.464695114667848e-14 relative error = 1.430029977460267e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = 1.731445082439137 y[1] (numeric) = 1.731445082439161 absolute error = 2.486899575160351e-14 relative error = 1.436314440684993e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = 1.73937949522548 y[1] (numeric) = 1.739379495225505 absolute error = 2.509104035652854e-14 relative error = 1.442528236385581e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 36.39 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = 1.747330077918339 y[1] (numeric) = 1.747330077918364 absolute error = 2.486899575160351e-14 relative error = 1.423256891521657e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 36.7 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = 1.755296783308455 y[1] (numeric) = 1.75529678330848 absolute error = 2.486899575160351e-14 relative error = 1.416797204215768e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.01 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.12 Order of pole (six term test) = -6.077 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = 1.763279563928604 y[1] (numeric) = 1.76327956392863 absolute error = 2.55351295663786e-14 relative error = 1.448161147486226e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.32 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = 1.771278372054361 y[1] (numeric) = 1.771278372054386 absolute error = 2.531308496145357e-14 relative error = 1.429085645758492e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.63 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = 1.779293159704858 y[1] (numeric) = 1.779293159704884 absolute error = 2.55351295663786e-14 relative error = 1.435127731880578e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.95 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = 1.787323878643559 y[1] (numeric) = 1.787323878643584 absolute error = 2.55351295663786e-14 relative error = 1.428679483975663e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 38.26 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = 1.795370480379024 y[1] (numeric) = 1.79537048037905 absolute error = 2.575717417130363e-14 relative error = 1.434643960831192e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 38.58 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 62.19 Order of pole (six term test) = 1.478 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 1.80343291616569 y[1] (numeric) = 1.803432916165717 absolute error = 2.642330798607873e-14 relative error = 1.465167223533758e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 38.9 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = 1.811511137004652 y[1] (numeric) = 1.811511137004678 absolute error = 2.642330798607873e-14 relative error = 1.458633482638692e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 39.22 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = 1.81960509364444 y[1] (numeric) = 1.819605093644467 absolute error = 2.620126338115369e-14 relative error = 1.439942296967077e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 39.55 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = 1.827714736581815 y[1] (numeric) = 1.827714736581842 absolute error = 2.642330798607873e-14 relative error = 1.445701971823869e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 39.87 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.85 Order of pole (six term test) = -5.882 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = 1.835840016062556 y[1] (numeric) = 1.835840016062583 absolute error = 2.642330798607873e-14 relative error = 1.439303411783696e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 40.2 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.69 Order of pole (six term test) = -7.891 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = 1.843980882082258 y[1] (numeric) = 1.843980882082285 absolute error = 2.686739719592879e-14 relative error = 1.457032307492777e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 40.53 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = 1.852137284387131 y[1] (numeric) = 1.852137284387158 absolute error = 2.708944180085382e-14 relative error = 1.462604420806618e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 40.87 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = 1.860309172474807 y[1] (numeric) = 1.860309172474834 absolute error = 2.731148640577885e-14 relative error = 1.468115451446484e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 41.2 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = 1.868496495595143 y[1] (numeric) = 1.86849649559517 absolute error = 2.731148640577885e-14 relative error = 1.461682506237709e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 41.54 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = 1.876699202751037 y[1] (numeric) = 1.876699202751064 absolute error = 2.731148640577885e-14 relative error = 1.455293760755223e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 41.88 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = 1.884917242699243 y[1] (numeric) = 1.884917242699271 absolute error = 2.775557561562891e-14 relative error = 1.472508977417084e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 42.22 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = 1.893150563951191 y[1] (numeric) = 1.893150563951219 absolute error = 2.775557561562891e-14 relative error = 1.46610502852453e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 42.56 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = 1.90139911477381 y[1] (numeric) = 1.901399114773838 absolute error = 2.797762022055394e-14 relative error = 1.471422806667402e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 42.91 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = 1.909662843190356 y[1] (numeric) = 1.909662843190384 absolute error = 2.797762022055394e-14 relative error = 1.465055484548961e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 43.26 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.11 Order of pole (six term test) = -4.359 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = 1.917941696981244 y[1] (numeric) = 1.917941696981272 absolute error = 2.797762022055394e-14 relative error = 1.458731527897302e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 43.61 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = 1.926235623684882 y[1] (numeric) = 1.926235623684911 absolute error = 2.864375403532904e-14 relative error = 1.487032722431622e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 43.96 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 58.9 Order of pole (six term test) = 0.1349 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = 1.934544570598515 y[1] (numeric) = 1.934544570598543 absolute error = 2.864375403532904e-14 relative error = 1.480645856945398e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 44.32 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = 1.942868484779061 y[1] (numeric) = 1.94286848477909 absolute error = 2.886579864025407e-14 relative error = 1.485730962563666e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 44.67 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = 1.951207313043966 y[1] (numeric) = 1.951207313043995 absolute error = 2.886579864025407e-14 relative error = 1.47938142950183e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 45.04 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = 1.959561001972048 y[1] (numeric) = 1.959561001972077 absolute error = 2.90878432451791e-14 relative error = 1.484406110139256e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 45.4 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = 1.967929497904355 y[1] (numeric) = 1.967929497904385 absolute error = 2.953193245502916e-14 relative error = 1.500660083934799e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 45.76 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = 1.976312746945026 y[1] (numeric) = 1.976312746945055 absolute error = 2.953193245502916e-14 relative error = 1.494294488596477e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 46.13 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = 1.984710694962146 y[1] (numeric) = 1.984710694962176 absolute error = 2.953193245502916e-14 relative error = 1.487971648965817e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 46.51 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = 1.993123287588621 y[1] (numeric) = 1.993123287588651 absolute error = 2.97539770599542e-14 relative error = 1.492831740275938e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 46.88 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = 2.001550470223041 y[1] (numeric) = 2.001550470223071 absolute error = 2.97539770599542e-14 relative error = 1.48654643001026e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 47.26 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.05 Order of pole (six term test) = -5.56 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = 2.009992188030557 y[1] (numeric) = 2.009992188030588 absolute error = 3.019806626980426e-14 relative error = 1.502397195851448e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 47.64 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = 2.018448385943759 y[1] (numeric) = 2.018448385943789 absolute error = 3.019806626980426e-14 relative error = 1.496102970980091e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 48.02 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = 2.026919008663552 y[1] (numeric) = 2.026919008663582 absolute error = 3.019806626980426e-14 relative error = 1.489850662050643e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 48.41 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = 2.035404000660047 y[1] (numeric) = 2.035404000660077 absolute error = 3.019806626980426e-14 relative error = 1.483639919151753e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 48.67 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = 2.043903306173447 y[1] (numeric) = 2.043903306173477 absolute error = 3.019806626980426e-14 relative error = 1.477470395913222e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 48.28 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = 2.052416869214937 y[1] (numeric) = 2.052416869214968 absolute error = 3.108624468950438e-14 relative error = 1.514616506801324e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 47.9 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = 2.060944633567586 y[1] (numeric) = 2.060944633567617 absolute error = 3.108624468950438e-14 relative error = 1.508349335697229e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 47.52 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 104.1 Order of pole (six term test) = 24.74 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = 2.069486542787238 y[1] (numeric) = 2.069486542787269 absolute error = 3.108624468950438e-14 relative error = 1.50212354836754e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 47.14 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = 2.078042540203421 y[1] (numeric) = 2.078042540203452 absolute error = 3.108624468950438e-14 relative error = 1.495938802410721e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 46.76 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = 2.086612568920251 y[1] (numeric) = 2.086612568920283 absolute error = 3.153033389935445e-14 relative error = 1.511077541130229e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 46.39 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = 2.095196571817347 y[1] (numeric) = 2.095196571817379 absolute error = 3.197442310920451e-14 relative error = 1.526082255922665e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 46.02 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = 2.103794491550739 y[1] (numeric) = 2.10379449155077 absolute error = 3.153033389935445e-14 relative error = 1.498736403483639e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 45.65 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = 2.112406270553786 y[1] (numeric) = 2.112406270553818 absolute error = 3.197442310920451e-14 relative error = 1.513649318074696e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 45.29 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = 2.121031851038103 y[1] (numeric) = 2.121031851038135 absolute error = 3.197442310920451e-14 relative error = 1.507493774483168e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 44.93 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = 2.129671174994478 y[1] (numeric) = 2.12967117499451 absolute error = 3.197442310920451e-14 relative error = 1.501378404545829e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 44.57 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = 2.138324184193806 y[1] (numeric) = 2.138324184193839 absolute error = 3.286260152890463e-14 relative error = 1.536839071073526e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 44.21 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = 2.146990820188018 y[1] (numeric) = 2.146990820188051 absolute error = 3.286260152890463e-14 relative error = 1.530635400016604e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 43.86 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = 2.155671024311017 y[1] (numeric) = 2.15567102431105 absolute error = 3.286260152890463e-14 relative error = 1.524472016290519e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 43.51 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = 2.164364737679614 y[1] (numeric) = 2.164364737679647 absolute error = 3.286260152890463e-14 relative error = 1.518348592397425e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 43.16 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = 2.173071901194474 y[1] (numeric) = 2.173071901194507 absolute error = 3.286260152890463e-14 relative error = 1.512264804070267e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 42.82 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = 2.181792455541061 y[1] (numeric) = 2.181792455541094 absolute error = 3.33066907387547e-14 relative error = 1.526574659022505e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 42.47 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = 2.190526341190584 y[1] (numeric) = 2.190526341190618 absolute error = 3.33066907387547e-14 relative error = 1.520488026665409e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 42.13 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = 2.199273498400953 y[1] (numeric) = 2.199273498400987 absolute error = 3.33066907387547e-14 relative error = 1.514440598814623e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 41.79 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = 2.208033867217732 y[1] (numeric) = 2.208033867217766 absolute error = 3.33066907387547e-14 relative error = 1.508432059546411e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 41.46 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = 2.2168073874751 y[1] (numeric) = 2.216807387475134 absolute error = 3.375077994860476e-14 relative error = 1.522494923974709e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 41.13 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = 2.225593998796814 y[1] (numeric) = 2.225593998796848 absolute error = 3.419486915845482e-14 relative error = 1.536437875773435e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 40.79 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = 2.234393640597173 y[1] (numeric) = 2.234393640597207 absolute error = 3.419486915845482e-14 relative error = 1.530386971085174e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 40.46 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = 2.243206252081989 y[1] (numeric) = 2.243206252082024 absolute error = 3.463895836830488e-14 relative error = 1.544171800348514e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 40.14 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = 2.252031772249561 y[1] (numeric) = 2.252031772249596 absolute error = 3.463895836830488e-14 relative error = 1.538120322951924e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 39.81 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = 2.260870139891647 y[1] (numeric) = 2.260870139891682 absolute error = 3.508304757815495e-14 relative error = 1.551749786913295e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 39.49 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = 2.269721293594446 y[1] (numeric) = 2.269721293594481 absolute error = 3.552713678800501e-14 relative error = 1.565264285455173e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 39.17 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = 2.278585171739582 y[1] (numeric) = 2.278585171739617 absolute error = 3.552713678800501e-14 relative error = 1.559175282479429e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 38.85 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = 2.287461712505086 y[1] (numeric) = 2.287461712505122 absolute error = 3.552713678800501e-14 relative error = 1.553124871720711e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 38.54 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = 2.29635085386639 y[1] (numeric) = 2.296350853866426 absolute error = 3.597122599785507e-14 relative error = 1.566451656866369e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 38.22 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = 2.305252533597314 y[1] (numeric) = 2.30525253359735 absolute error = 3.641531520770513e-14 relative error = 1.579667072348015e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.91 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = 2.314166689271065 y[1] (numeric) = 2.314166689271102 absolute error = 3.68594044175552e-14 relative error = 1.592772231509627e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.6 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = 2.323093258261238 y[1] (numeric) = 2.323093258261275 absolute error = 3.68594044175552e-14 relative error = 1.586651947203501e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 37.29 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = 2.332032177742811 y[1] (numeric) = 2.332032177742847 absolute error = 3.68594044175552e-14 relative error = 1.580570146902161e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 36.99 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = 2.340983384693156 y[1] (numeric) = 2.340983384693193 absolute error = 3.68594044175552e-14 relative error = 1.574526528405349e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 36.68 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = 2.349946815893048 y[1] (numeric) = 2.349946815893085 absolute error = 3.730349362740526e-14 relative error = 1.587418633269317e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 36.38 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = 2.35892240792767 y[1] (numeric) = 2.358922407927708 absolute error = 3.819167204710538e-14 relative error = 1.619030448765673e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 36.08 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = 2.367910097187637 y[1] (numeric) = 2.367910097187675 absolute error = 3.774758283725532e-14 relative error = 1.594130743480847e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35.78 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = 2.376909819870003 y[1] (numeric) = 2.376909819870042 absolute error = 3.819167204710538e-14 relative error = 1.606778335797113e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35.48 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = 2.385921511979293 y[1] (numeric) = 2.385921511979331 absolute error = 3.819167204710538e-14 relative error = 1.600709489199528e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 35.19 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = 2.394945109328517 y[1] (numeric) = 2.394945109328555 absolute error = 3.819167204710538e-14 relative error = 1.594678387339465e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 34.9 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = 2.403980547540204 y[1] (numeric) = 2.403980547540243 absolute error = 3.907985046680551e-14 relative error = 1.62563089401005e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 34.6 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = 2.413027762047429 y[1] (numeric) = 2.413027762047467 absolute error = 3.863576125695545e-14 relative error = 1.601132065889429e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = 2.422086688094845 y[1] (numeric) = 2.422086688094884 absolute error = 3.863576125695545e-14 relative error = 1.595143619213126e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = 2.431157260739723 y[1] (numeric) = 2.431157260739762 absolute error = 3.907985046680551e-14 relative error = 1.60745876451097e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = 2.440239414852988 y[1] (numeric) = 2.440239414853027 absolute error = 3.907985046680551e-14 relative error = 1.60147607767248e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = 2.449333085120259 y[1] (numeric) = 2.449333085120299 absolute error = 3.952393967665557e-14 relative error = 1.613661282606444e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = 2.458438206042902 y[1] (numeric) = 2.458438206042941 absolute error = 3.952393967665557e-14 relative error = 1.607684894397783e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = 2.467554711939068 y[1] (numeric) = 2.467554711939107 absolute error = 3.952393967665557e-14 relative error = 1.601745221105823e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = 2.47668253694475 y[1] (numeric) = 2.47668253694479 absolute error = 3.996802888650564e-14 relative error = 1.613772790428378e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = 2.485821615014838 y[1] (numeric) = 2.485821615014878 absolute error = 3.996802888650564e-14 relative error = 1.607839784041264e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = 2.494971879924169 y[1] (numeric) = 2.494971879924209 absolute error = 4.04121180963557e-14 relative error = 1.619742427621428e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = 2.504133265268594 y[1] (numeric) = 2.504133265268635 absolute error = 4.04121180963557e-14 relative error = 1.613816591027997e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = 2.513305704466037 y[1] (numeric) = 2.513305704466077 absolute error = 4.085620730620576e-14 relative error = 1.625596410082786e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = 2.522489130757558 y[1] (numeric) = 2.522489130757599 absolute error = 4.085620730620576e-14 relative error = 1.619678230047943e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = 2.531683477208428 y[1] (numeric) = 2.531683477208468 absolute error = 4.085620730620576e-14 relative error = 1.613796024424666e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = 2.54088867670919 y[1] (numeric) = 2.540888676709232 absolute error = 4.130029651605582e-14 relative error = 1.625427233181484e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = 2.550104661976745 y[1] (numeric) = 2.550104661976786 absolute error = 4.130029651605582e-14 relative error = 1.619552998426401e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = 2.559331365555417 y[1] (numeric) = 2.559331365555459 absolute error = 4.130029651605582e-14 relative error = 1.61371431116318e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = 2.568568719818039 y[1] (numeric) = 2.568568719818081 absolute error = 4.174438572590589e-14 relative error = 1.625200268298179e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = 2.577816656967034 y[1] (numeric) = 2.577816656967076 absolute error = 4.174438572590589e-14 relative error = 1.619369849794548e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = 2.587075109035497 y[1] (numeric) = 2.587075109035539 absolute error = 4.218847493575595e-14 relative error = 1.630740243621473e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = 2.596344007888287 y[1] (numeric) = 2.596344007888329 absolute error = 4.218847493575595e-14 relative error = 1.624918531888599e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = 2.605623285223112 y[1] (numeric) = 2.605623285223154 absolute error = 4.218847493575595e-14 relative error = 1.619131789887404e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt(sin(0.2 * x + 0.3) , 2.0); Iterations = 491 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.4 %