(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/share/maxima/5.27.0/share/stringproc/stringproc.mac (%i3) display_poles() := block([rad_given], if glob_type_given_pole = 4 then (rad_given : sqrt(expt(array_given_rad_poles , 2.0) 1, 2 + expt(array_x - array_given_rad_poles , 2.0)), 1 1, 1 omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4, rad_given, 4, " "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3 1, 1 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_poles # glob_large_float then (omniout_float(ALWAYS, 1, 1 "Radius of convergence (ratio test) for eq 1 ", 4, array_poles , 4, 1, 1 " "), omniout_str(ALWAYS, "Order of pole (ratio test) Not computed")) else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"), if (array_real_poles > 0.0) and (array_real_poles # glob_large_float) 1, 1 1, 1 then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_real_poles , 1, 1 4, " "), omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_real_poles , 1, 2 4, " ")) else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1"), if (array_complex_poles > 0.0) and (array_complex_poles # 1, 1 1, 1 glob_large_float) then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_complex_poles , 4, " "), omniout_float(ALWAYS, 1, 1 "Order of pole (six term test) ", 4, array_complex_poles , 4, " ")) else omniout_str(ALWAYS, 1, 2 "NO COMPLEX POLE (six term test) for Equation 1")) (%o3) display_poles() := block([rad_given], if glob_type_given_pole = 4 then (rad_given : sqrt(expt(array_given_rad_poles , 2.0) 1, 2 + expt(array_x - array_given_rad_poles , 2.0)), 1 1, 1 omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4, rad_given, 4, " "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3 1, 1 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_poles # glob_large_float then (omniout_float(ALWAYS, 1, 1 "Radius of convergence (ratio test) for eq 1 ", 4, array_poles , 4, 1, 1 " "), omniout_str(ALWAYS, "Order of pole (ratio test) Not computed")) else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"), if (array_real_poles > 0.0) and (array_real_poles # glob_large_float) 1, 1 1, 1 then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_real_poles , 1, 1 4, " "), omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_real_poles , 1, 2 4, " ")) else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1"), if (array_complex_poles > 0.0) and (array_complex_poles # 1, 1 1, 1 glob_large_float) then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_complex_poles , 4, " "), omniout_float(ALWAYS, 1, 1 "Order of pole (six term test) ", 4, array_complex_poles , 4, " ")) else omniout_str(ALWAYS, 1, 2 "NO COMPLEX POLE (six term test) for Equation 1")) (%i4) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%o4) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i5) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%o5) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%i6) test_suggested_h() := block([max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), est_tmp : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if est_tmp >= max_estimated_step_error then max_estimated_step_error : est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""), max_estimated_step_error) (%o6) test_suggested_h() := block([max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), est_tmp : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if est_tmp >= max_estimated_step_error then max_estimated_step_error : est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""), max_estimated_step_error) (%i7) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%o7) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%i8) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%o8) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%i9) adjust_for_pole(h_param) := (block([hnew, sz2, tmp], hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > 1, 1 glob_small_float then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), return(hnew)) 1 (%o9) adjust_for_pole(h_param) := (block([hnew, sz2, tmp], hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > 1, 1 glob_small_float then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), return(hnew)) 1 (%i10) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o10) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i11) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad], array_pole : glob_large_float, array_pole : glob_large_float, 1 2 tmp_rad : glob_large_float, prev_tmp_rad : glob_large_float, tmp_ratio : glob_large_float, rad_c : glob_large_float, array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, n : - 10 - 1 + glob_max_terms, cnt : 0, while (cnt < 5) and (found_sing = 1) do (if (omniabs(array_y_higher ) = 1, n 0.0) or (omniabs(array_y_higher ) = 0.0) then found_sing : 0 1, 1 + n array_y_higher glob_h 1, n tmp_rad else (tmp_rad : omniabs(-------------------------), tmp_ratio : ------------, array_y_higher prev_tmp_rad 1, 1 + n if (cnt > 0) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5) then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt = 0 then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt > 0 then found_sing : 0), prev_tmp_rad : tmp_rad, cnt : 1 + cnt, n : 1 + n), if found_sing = 1 then (if rad_c < array_pole 1 then (array_pole : rad_c, array_poles : rad_c)), n : glob_max_terms, 1 1, 1 m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) = 0.0) 1, m or (omniabs(array_y_higher ) = 0.0) 1, m - 1 or (omniabs(array_y_higher ) = 0.0)) do m : m - 1, 1, m - 2 array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, glob_h if omniabs(hdrc) > 0.0 then (rcs : ------, hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) ord_no : -----------------------------------------------------, hdrc array_real_poles : rcs, array_real_poles : ord_no) 1, 1 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float)) 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) # 1, n 0.0 then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) = 0.0) rm4 rm3 rm2 or (omniabs(dr1) = 0.0) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) # 0.0 dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_poles : rad_c, 1, 1 array_complex_poles : ord_no), if array_pole glob_ratio_of_radius < 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_poles()) (%o11) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad], array_pole : glob_large_float, array_pole : glob_large_float, 1 2 tmp_rad : glob_large_float, prev_tmp_rad : glob_large_float, tmp_ratio : glob_large_float, rad_c : glob_large_float, array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, n : - 10 - 1 + glob_max_terms, cnt : 0, while (cnt < 5) and (found_sing = 1) do (if (omniabs(array_y_higher ) = 1, n 0.0) or (omniabs(array_y_higher ) = 0.0) then found_sing : 0 1, 1 + n array_y_higher glob_h 1, n tmp_rad else (tmp_rad : omniabs(-------------------------), tmp_ratio : ------------, array_y_higher prev_tmp_rad 1, 1 + n if (cnt > 0) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5) then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt = 0 then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt > 0 then found_sing : 0), prev_tmp_rad : tmp_rad, cnt : 1 + cnt, n : 1 + n), if found_sing = 1 then (if rad_c < array_pole 1 then (array_pole : rad_c, array_poles : rad_c)), n : glob_max_terms, 1 1, 1 m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) = 0.0) 1, m or (omniabs(array_y_higher ) = 0.0) 1, m - 1 or (omniabs(array_y_higher ) = 0.0)) do m : m - 1, 1, m - 2 array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, glob_h if omniabs(hdrc) > 0.0 then (rcs : ------, hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) ord_no : -----------------------------------------------------, hdrc array_real_poles : rcs, array_real_poles : ord_no) 1, 1 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float)) 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) # 1, n 0.0 then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) = 0.0) rm4 rm3 rm2 or (omniabs(dr1) = 0.0) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) # 0.0 dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_poles : rad_c, 1, 1 array_complex_poles : ord_no), if array_pole glob_ratio_of_radius < 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_poles()) (%i12) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%o12) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%i13) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_const_0D1 array_x , 1 1 1 array_tmp2 : array_const_0D2 + array_tmp1 , array_tmp3 : exp(array_tmp2 ), 1 1 1 1 1 array_tmp4 : array_tmp3 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_const_0D1 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3 array_tmp2 1 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 2 1 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 3, glob_h 2, 2 array_tmp3 array_tmp2 2 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 3 2 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp3 array_tmp2 3 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 4 3 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 5, glob_h 2, 4 array_tmp3 array_tmp2 4 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 5 4 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp3 : kkk array_tmp3 array_tmp2 kkk - 1 2 -----------------------------, array_tmp4 : array_tmp3 , order_d : 1, kkk - 1 kkk kkk if order_d + kkk < glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp4 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) (%o13) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_const_0D1 array_x , 1 1 1 array_tmp2 : array_const_0D2 + array_tmp1 , array_tmp3 : exp(array_tmp2 ), 1 1 1 1 1 array_tmp4 : array_tmp3 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_const_0D1 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3 array_tmp2 1 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 2 1 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 3, glob_h 2, 2 array_tmp3 array_tmp2 2 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 3 2 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp3 array_tmp2 3 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 4 3 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 5, glob_h 2, 4 array_tmp3 array_tmp2 4 2 array_tmp3 : -----------------------, array_tmp4 : array_tmp3 , 5 4 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp3 : kkk array_tmp3 array_tmp2 kkk - 1 2 -----------------------------, array_tmp4 : array_tmp3 , order_d : 1, kkk - 1 kkk kkk if order_d + kkk < glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp4 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) log(x) (%i14) log10(x) := --------- log(10.0) log(x) (%o14) log10(x) := --------- log(10.0) (%i15) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o15) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i16) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o16) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i17) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o17) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i18) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o18) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i19) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o19) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i20) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o20) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i21) dump_series(iolevel, dump_label, series_name, arr_series, numb) := block([i], if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i))) i (%o21) dump_series(iolevel, dump_label, series_name, arr_series, numb) := block([i], if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i))) i (%i22) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) := (array_series2, numb, subnum) := block([i, sub, ts_term], if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))) sub, i (%o22) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) := (array_series2, numb, subnum) := block([i, sub, ts_term], if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))) sub, i (%i23) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o23) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i24) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), printf(fd, "~%"), secs if secs >= 0 then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(fd, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int)) else printf(fd, " Unknown~%"), printf(fd, "~%")) (%o24) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), printf(fd, "~%"), secs if secs >= 0 then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(fd, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int)) else printf(fd, " Unknown~%"), printf(fd, "~%")) (%i25) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), if secs >= 0 secs then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o25) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), if secs >= 0 secs then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i26) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block([iii_ats, lll_ats, ma_ats, ret_ats], ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o26) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block([iii_ats, lll_ats, ma_ats, ret_ats], ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i27) att(mmm_att, arr_aa, arr_bb, jjj_att) := block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : arr_aa arr_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o27) att(mmm_att, arr_aa, arr_bb, jjj_att) := block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : arr_aa arr_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i28) display_pole_debug(typ, m, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_int(ALWAYS, "m", 4, m, 4, " "), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%o28) display_pole_debug(typ, m, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_int(ALWAYS, "m", 4, m, 4, " "), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%i29) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o29) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i30) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o30) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i31) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o31) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i32) logitem_good_digits(file, rel_error) := block([good_digits], printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 1 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")) (%o32) logitem_good_digits(file, rel_error) := block([good_digits], printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 1 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")) (%i33) log_revs(file, revs) := printf(file, revs) (%o33) log_revs(file, revs) := printf(file, revs) (%i34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i35) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") elseif pole = 4 then printf(file, "Yes") else printf(file, "No"), printf(file, "")) (%o35) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") elseif pole = 4 then printf(file, "Yes") else printf(file, "No"), printf(file, "")) (%i36) logstart(file) := printf(file, "") (%o36) logstart(file) := printf(file, "") (%i37) logend(file) := printf(file, "~%") (%o37) logend(file) := printf(file, "~%") (%i38) chk_data() := block([errflag], errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o38) chk_data() := block([errflag], errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i40) comp_percent(t_end2, t_start2, t2) := block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o40) comp_percent(t_end2, t_start2, t2) := block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i41) factorial_2(nnn) := nnn! (%o41) factorial_2(nnn) := nnn! (%i42) factorial_1(nnn) := block([ret], if nnn <= glob_max_terms then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%o42) factorial_1(nnn) := block([ret], if nnn <= glob_max_terms then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%i43) factorial_3(mmm, nnn) := block([ret], if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%o43) factorial_3(mmm, nnn) := block([ret], if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%i44) convfp(mmm) := mmm (%o44) convfp(mmm) := mmm (%i45) convfloat(mmm) := mmm (%o45) convfloat(mmm) := mmm (%i46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t) (%o46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t) (%i47) Si(x) := 0.0 (%o47) Si(x) := 0.0 (%i48) Ci(x) := 0.0 (%o48) Ci(x) := 0.0 (%i49) ln(x) := log(x) (%o49) ln(x) := log(x) (%i50) arcsin(x) := asin(x) (%o50) arcsin(x) := asin(x) (%i51) arccos(x) := acos(x) (%o51) arccos(x) := acos(x) (%i52) arctan(x) := atan(x) (%o52) arctan(x) := atan(x) (%i53) omniabs(x) := abs(x) (%o53) omniabs(x) := abs(x) (%i54) expt(x, y) := (if (x <= 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%o54) expt(x, y) := (if (x <= 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%i55) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h desired_abs_gbl_error 32, estimated_steps, 32, ""), step_error : omniabs(---------------------), estimated_steps omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%o55) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h desired_abs_gbl_error 32, estimated_steps, 32, ""), step_error : omniabs(---------------------), estimated_steps omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%i56) exact_soln_y(x) := block(10.0 exp(0.2 + 0.1 x)) (%o56) exact_soln_y(x) := block(10.0 exp(0.2 + 0.1 x)) (%i57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value, est_answer, best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_yes_pole, 4, fixnum), define_variable(glob_no_pole, 3, fixnum), define_variable(glob_not_given, 0, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_check_sign, 1.0, float), define_variable(glob_desired_digits_correct, 8.0, float), define_variable(glob_max_estimated_step_error, 0.0, float), define_variable(glob_ratio_of_radius, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_total_exp_sec, 0.1, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_html_log, true, boolean), define_variable(glob_good_digits, 0, fixnum), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_dump, false, boolean), define_variable(glob_djd_debug, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_djd_debug2, true, boolean), define_variable(glob_sec_in_minute, 60, fixnum), define_variable(glob_min_in_hour, 60, fixnum), define_variable(glob_hours_in_day, 24, fixnum), define_variable(glob_days_in_year, 365, fixnum), define_variable(glob_sec_in_hour, 3600, fixnum), define_variable(glob_sec_in_day, 86400, fixnum), define_variable(glob_sec_in_year, 31536000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_optimal_done, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float), define_variable(glob_min_h, 1.0E-6, float), define_variable(glob_type_given_pole, 0, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_neg_h, false, boolean), define_variable(glob_display_interval, 0.0, float), define_variable(glob_next_display, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_small_float, 0.0, float), define_variable(glob_smallish_float, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/lin_exppostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:1.0,"), omniout_str(ALWAYS, "x_end:10.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.01,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10000000,"), omniout_str(ALWAYS, "glob_max_minutes:3,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (10.0 * exp(0.1 * x + 0.2)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, max_terms : 30, Digits : 32, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4), array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4), array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2), array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2), array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 2, 1 + 3), array(array_given_rad_poles, 1 + 2, 1 + 3), array(array_given_ord_poles, 1 + 2, 1 + 3), array(array_real_poles, 1 + 2, 1 + 3), array(array_complex_poles, 1 + 2, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_complex_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= 2 do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_pole : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_type_complex_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_real_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_complex_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_0D1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D1 : 0.0, term : 1 + term), term array_const_0D1 : 0.1, array(array_const_0D2, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term), term array_const_0D2 : 0.2, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 1.0, iiif, jjjf x_end : 10.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 10, 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, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : omniabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"), 1, 30 glob_check_sign : check_sign(x_start, x_end), glob_h : check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h, if glob_max_h < glob_h then glob_h : glob_max_h, if glob_display_interval < glob_h then glob_h : glob_display_interval, best_h : glob_h, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), estimated_step_error : 0.0, while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h) then (found_h : true, glob_h : glob_max_h, best_h : glob_h) elseif (estimated_step_error > est_needed_step_err) glob_h and (not found_h) then (glob_h : ------, best_h : glob_h, found_h : true) 2.0 else (glob_h : glob_h 2.0, best_h : glob_h), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter), if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS, "Beginning glob_h too large."), found_h : false), if opt_iter > 100 then (glob_h : glob_max_h, found_h : false), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_html_log then html_log_file : openw("entry.html"), if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2013-05-26T02:35:05-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "lin_exp"), logitem_str(html_log_file, "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms), 1 logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 189 "), logitem_str(html_log_file, "lin_exp diffeq.max"), logitem_str(html_log_file, "lin_exp maxima results"), logitem_str(html_log_file, "All Tests - All Languages"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%o57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value, est_answer, best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_yes_pole, 4, fixnum), define_variable(glob_no_pole, 3, fixnum), define_variable(glob_not_given, 0, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_check_sign, 1.0, float), define_variable(glob_desired_digits_correct, 8.0, float), define_variable(glob_max_estimated_step_error, 0.0, float), define_variable(glob_ratio_of_radius, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_total_exp_sec, 0.1, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_html_log, true, boolean), define_variable(glob_good_digits, 0, fixnum), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_dump, false, boolean), define_variable(glob_djd_debug, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_djd_debug2, true, boolean), define_variable(glob_sec_in_minute, 60, fixnum), define_variable(glob_min_in_hour, 60, fixnum), define_variable(glob_hours_in_day, 24, fixnum), define_variable(glob_days_in_year, 365, fixnum), define_variable(glob_sec_in_hour, 3600, fixnum), define_variable(glob_sec_in_day, 86400, fixnum), define_variable(glob_sec_in_year, 31536000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_optimal_done, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float), define_variable(glob_min_h, 1.0E-6, float), define_variable(glob_type_given_pole, 0, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_neg_h, false, boolean), define_variable(glob_display_interval, 0.0, float), define_variable(glob_next_display, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_small_float, 0.0, float), define_variable(glob_smallish_float, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/lin_exppostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:1.0,"), omniout_str(ALWAYS, "x_end:10.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.01,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10000000,"), omniout_str(ALWAYS, "glob_max_minutes:3,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (10.0 * exp(0.1 * x + 0.2)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, max_terms : 30, Digits : 32, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4), array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4), array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2), array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2), array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 2, 1 + 3), array(array_given_rad_poles, 1 + 2, 1 + 3), array(array_given_ord_poles, 1 + 2, 1 + 3), array(array_real_poles, 1 + 2, 1 + 3), array(array_complex_poles, 1 + 2, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_complex_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= 2 do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_pole : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_type_complex_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_real_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_complex_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp4, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_0D1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D1 : 0.0, term : 1 + term), term array_const_0D1 : 0.1, array(array_const_0D2, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term), term array_const_0D2 : 0.2, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), x_start : 1.0, iiif, jjjf x_end : 10.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 10, 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, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : omniabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"), 1, 30 glob_check_sign : check_sign(x_start, x_end), glob_h : check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h, if glob_max_h < glob_h then glob_h : glob_max_h, if glob_display_interval < glob_h then glob_h : glob_display_interval, best_h : glob_h, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), estimated_step_error : 0.0, while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h) then (found_h : true, glob_h : glob_max_h, best_h : glob_h) elseif (estimated_step_error > est_needed_step_err) glob_h and (not found_h) then (glob_h : ------, best_h : glob_h, found_h : true) 2.0 else (glob_h : glob_h 2.0, best_h : glob_h), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter), if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS, "Beginning glob_h too large."), found_h : false), if opt_iter > 100 then (glob_h : glob_max_h, found_h : false), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_html_log then html_log_file : openw("entry.html"), if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2013-05-26T02:35:05-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "lin_exp"), logitem_str(html_log_file, "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms), 1 logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 189 "), logitem_str(html_log_file, "lin_exp diffeq.max"), logitem_str(html_log_file, "lin_exp maxima results"), logitem_str(html_log_file, "All Tests - All Languages"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i58) main() "##############ECHO OF PROBLEM#################" "##############temp/lin_exppostode.ode#################" "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "max_terms:30," "Digits:32," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:1.0," "x_end:10.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter:10," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.01," "glob_look_poles:true," "glob_max_iter:10000000," "glob_max_minutes:3," "glob_subiter_method:3," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (10.0 * exp(0.1 * x + 0.2)) " "));" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" glob_desired_digits_correct = 10. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 9. "" estimated_steps = 9000000. "" step_error = 1.111111111111111000000000000000000E-17 "" est_needed_step_err = 1.111111111111111000000000000000000E-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 = 3.34710486134487560000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-208 "" estimated_step_error = 3.34710486134487560000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-208 "" best_h = 2.000000E-6 "" opt_iter = 2 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.246204053496958200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-200 "" estimated_step_error = 2.246204053496958200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-200 "" best_h = 4.000000E-6 "" opt_iter = 3 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.5074020290067314000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-192 "" estimated_step_error = 1.5074020290067314000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-192 "" best_h = 8.000000E-6 "" opt_iter = 4 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.01160038507270410000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 "" estimated_step_error = 1.01160038507270410000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 "" best_h = 1.600000E-5 "" opt_iter = 5 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.788735366993033000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-177 "" estimated_step_error = 6.788735366993033000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-177 "" best_h = 3.200000E-5 "" opt_iter = 6 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.55584331974320860000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-169 "" estimated_step_error = 4.55584331974320860000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-169 "" best_h = 6.400000E-5 "" opt_iter = 7 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.057374878677335000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-161 "" estimated_step_error = 3.057374878677335000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-161 "" best_h = 1.280000E-4 "" opt_iter = 8 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.05176979247448000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-153 "" estimated_step_error = 2.05176979247448000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-153 "" best_h = 2.560000E-4 "" opt_iter = 9 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.3769197260058222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 "" estimated_step_error = 1.3769197260058222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 "" best_h = 5.120000E-4 "" opt_iter = 10 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 9.240356243759382000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-138 "" estimated_step_error = 9.240356243759382000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-138 "" best_h = 1.024000E-3 "" opt_iter = 11 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.2011039843102290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-130 "" estimated_step_error = 6.2011039843102290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-130 "" best_h = 2.048000E-3 "" opt_iter = 12 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.161498330776565000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-122 "" estimated_step_error = 4.161498330776565000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-122 "" best_h = 4.096000E-3 "" opt_iter = 13 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.7927448469424004000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-114 "" estimated_step_error = 2.7927448469424004000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-114 "" best_h = 8.192000E-3 "" opt_iter = 14 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.87419355740306330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-106 "" estimated_step_error = 1.87419355740306330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-106 "" best_h = 1.638400E-2 "" opt_iter = 15 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.257769086615692400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 "" estimated_step_error = 1.257769086615692400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 "" best_h = 3.276800E-2 "" opt_iter = 16 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 8.4410015708865020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 "" estimated_step_error = 8.4410015708865020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 "" best_h = 6.553600E-2 "" opt_iter = 17 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 5.66500404389985200000000000000000000000000000000000000000000000000000000000000000000000000000000000E-83 "" estimated_step_error = 5.66500404389985200000000000000000000000000000000000000000000000000000000000000000000000000000000000E-83 "" 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 = 3.8021813533736476000000000000000000000000000000000000000000000000000000000000000000000000000E-75 "" estimated_step_error = 3.8021813533736476000000000000000000000000000000000000000000000000000000000000000000000000000E-75 "" best_h = 0.1 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 1. " " y[1] (analytic) = 13.498588075760033 " " y[1] (numeric) = 13.498588075760033 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.01 " " y[1] (analytic) = 13.512093415380157 " " y[1] (numeric) = 13.512093415380157 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994432 " " Order of pole (six term test) = -11.828125 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.02 " " y[1] (analytic) = 13.525612267094825 " " y[1] (numeric) = 13.525612267094823 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.313328228195465900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 784150157.2553861 " " Order of pole (six term test) = -30541989660455.613 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.03 " " y[1] (analytic) = 13.539144644422885 " " y[1] (numeric) = 13.539144644422883 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.312015556412551300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.04 " " y[1] (analytic) = 13.55269056089672 " " y[1] (numeric) = 13.552690560896718 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.310704196645302300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.05 " " y[1] (analytic) = 13.56625003006224 " " y[1] (numeric) = 13.56625003006224 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.06 " " y[1] (analytic) = 13.579823065478926 " " y[1] (numeric) = 13.579823065478925 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.308085407913672800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.07 " " y[1] (analytic) = 13.593409680719809 " " y[1] (numeric) = 13.593409680719805 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.613555952661006400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.08 " " y[1] (analytic) = 13.607009889371502 " " y[1] (numeric) = 13.6070098893715 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.305471851525419000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.09 " " y[1] (analytic) = 13.620623705034221 " " y[1] (numeric) = 13.62062370503422 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.304167032192295200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 501544125.7716377 " " Order of pole (six term test) = -124944503156374.95 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1 " " y[1] (analytic) = 13.634251141321778 " " y[1] (numeric) = 13.634251141321778 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.564728 " " Order of pole (six term test) = -137438953472011.62 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.11 " " y[1] (analytic) = 13.647892211861615 " " y[1] (numeric) = 13.647892211861613 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.301561304723954600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956715 " " Order of pole (six term test) = -343597383680008.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.12 " " y[1] (analytic) = 13.661546930294799 " " y[1] (numeric) = 13.661546930294799 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1300000000000001 " " y[1] (analytic) = 13.675215310276055 " " y[1] (numeric) = 13.675215310276053 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.298960783502568500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994439 " " Order of pole (six term test) = -164926744166411.4 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1400000000000001 " " y[1] (analytic) = 13.688897365473759 " " y[1] (numeric) = 13.688897365473757 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.297662471983018200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.1500000000000001 " " y[1] (analytic) = 13.702593109569968 " " y[1] (numeric) = 13.702593109569968 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994466 " " Order of pole (six term test) = -109951162777611.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1600000000000001 " " y[1] (analytic) = 13.716302556260429 " " y[1] (numeric) = 13.716302556260429 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994462 " " Order of pole (six term test) = -91625968981345.33 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1700000000000002 " " y[1] (analytic) = 13.730025719254588 " " y[1] (numeric) = 13.73002571925459 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.293775318213089300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1800000000000002 " " y[1] (analytic) = 13.743762612275612 " " y[1] (numeric) = 13.743762612275614 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2924821895669600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1900000000000002 " " y[1] (analytic) = 13.757513249060393 " " y[1] (numeric) = 13.757513249060395 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.29119035340312800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 554477893.6637814 " " Order of pole (six term test) = -91625968981345.08 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2000000000000002 " " y[1] (analytic) = 13.771277643359571 " " y[1] (numeric) = 13.771277643359571 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.2100000000000002 " " y[1] (analytic) = 13.78505580893754 " " y[1] (numeric) = 13.785055808937539 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.288610553356301600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2200000000000002 " " y[1] (analytic) = 13.798847759572466 " " y[1] (numeric) = 13.798847759572466 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994304 " " Order of pole (six term test) = -5. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2300000000000002 " " y[1] (analytic) = 13.8126535090563 " " y[1] (numeric) = 13.8126535090563 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2400000000000002 " " y[1] (analytic) = 13.826473071194796 " " y[1] (numeric) = 13.826473071194796 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2500000000000002 " " y[1] (analytic) = 13.840306459807515 " " y[1] (numeric) = 13.840306459807515 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 704729103.7532034 " " Order of pole (six term test) = -84577817521242.22 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2600000000000002 " " y[1] (analytic) = 13.854153688727846 " " y[1] (numeric) = 13.854153688727846 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2700000000000002 " " y[1] (analytic) = 13.868014771803024 " " y[1] (numeric) = 13.868014771803022 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.280902038705645800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2800000000000002 " " y[1] (analytic) = 13.881889722894126 " " y[1] (numeric) = 13.881889722894124 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.279621776904529300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.2900000000000003 " " y[1] (analytic) = 13.895778555876108 " " y[1] (numeric) = 13.895778555876106 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.278342794725296200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.3000000000000003 " " y[1] (analytic) = 13.909681284637802 " " y[1] (numeric) = 13.909681284637802 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3100000000000003 " " y[1] (analytic) = 13.923597923081942 " " y[1] (numeric) = 13.923597923081942 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 1.3200000000000003 " " y[1] (analytic) = 13.937528485125169 " " y[1] (numeric) = 13.937528485125165 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.549027026270931400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.3300000000000003 " " y[1] (analytic) = 13.951472984698038 " " y[1] (numeric) = 13.951472984698036 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.273239636666721200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.3400000000000003 " " y[1] (analytic) = 13.965431435745055 " " y[1] (numeric) = 13.965431435745053 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.271967033437719200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 40.96 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3500000000000003 " " y[1] (analytic) = 13.979403852224673 " " y[1] (numeric) = 13.979403852224669 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.54139140435171330000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 554477893.6637814 " " Order of pole (six term test) = -91625968981345.08 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3600000000000003 " " y[1] (analytic) = 13.993390248109305 " " y[1] (numeric) = 13.993390248109304 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.269425641609802000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647284 " " Order of pole (six term test) = -274877906944011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3700000000000003 " " y[1] (analytic) = 14.007390637385353 " " y[1] (numeric) = 14.007390637385353 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3800000000000003 " " y[1] (analytic) = 14.021405034053208 " " y[1] (numeric) = 14.021405034053206 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.266889327486144200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.3900000000000003 " " y[1] (analytic) = 14.035433452127261 " " y[1] (numeric) = 14.035433452127261 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4000000000000004 " " y[1] (analytic) = 14.04947590563594 " " y[1] (numeric) = 14.049475905635939 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.264358080921485200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1796713725.9171734 " " Order of pole (six term test) = -549755813888011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4100000000000004 " " y[1] (analytic) = 14.063532408621693 " " y[1] (numeric) = 14.063532408621693 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4200000000000004 " " y[1] (analytic) = 14.077602975141026 " " y[1] (numeric) = 14.077602975141028 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.261831891790836000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.4300000000000004 " " y[1] (analytic) = 14.09168761926451 " " y[1] (numeric) = 14.09168761926451 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4400000000000004 " " y[1] (analytic) = 14.105786355076786 " " y[1] (numeric) = 14.105786355076786 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1176225235.883078 " " Order of pole (six term test) = -274877906944009. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4500000000000004 " " y[1] (analytic) = 14.119899196676593 " " y[1] (numeric) = 14.119899196676592 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.258052068684989100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 665373472.3965394 " " Order of pole (six term test) = -76965813944331.64 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4600000000000004 " " y[1] (analytic) = 14.134026158176772 " " y[1] (numeric) = 14.134026158176772 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.4700000000000004 " " y[1] (analytic) = 14.148167253704287 " " y[1] (numeric) = 14.148167253704287 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 1.4800000000000004 " " y[1] (analytic) = 14.162322497400238 " " y[1] (numeric) = 14.162322497400236 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.254283568056252200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 1.4900000000000004 " " y[1] (analytic) = 14.176491903419864 " " y[1] (numeric) = 14.176491903419862 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.253029911420985300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 784150157.2553878 " " Order of pole (six term test) = -91625968981344.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5000000000000004 " " y[1] (analytic) = 14.190675485932573 " " y[1] (numeric) = 14.190675485932573 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 289566636.0247276 " " Order of pole (six term test) = -124944503156374.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5100000000000005 " " y[1] (analytic) = 14.204873259121953 " " y[1] (numeric) = 14.204873259121953 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 665373472.3965409 " " Order of pole (six term test) = -76965813944331.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5200000000000005 " " y[1] (analytic) = 14.219085237185777 " " y[1] (numeric) = 14.219085237185777 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 1.5300000000000005 " " y[1] (analytic) = 14.23331143433602 " " y[1] (numeric) = 14.233311434336022 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.248027802662295300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 40.96 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5400000000000005 " " y[1] (analytic) = 14.247551864798885 " " y[1] (numeric) = 14.247551864798886 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.246780398665581800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 1.5500000000000005 " " y[1] (analytic) = 14.261806542814801 " " y[1] (numeric) = 14.261806542814803 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.245534241449370700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.5600000000000005 " " y[1] (analytic) = 14.27607548263845 " " y[1] (numeric) = 14.27607548263845 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5700000000000005 " " y[1] (analytic) = 14.290358698538773 " " y[1] (numeric) = 14.290358698538771 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.243045662375072300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 898356862.9585881 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5800000000000005 " " y[1] (analytic) = 14.304656204798983 " " y[1] (numeric) = 14.304656204798981 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24180323802840600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5900000000000005 " " y[1] (analytic) = 14.318968015716589 " " y[1] (numeric) = 14.318968015716587 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24056205548508100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 876706528.0951008 " " Order of pole (six term test) = -160345445717345.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6000000000000005 " " y[1] (analytic) = 14.333294145603404 " " y[1] (numeric) = 14.333294145603404 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 40.96 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6100000000000005 " " y[1] (analytic) = 14.34763460878556 " " y[1] (numeric) = 14.34763460878556 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6200000000000006 " " y[1] (analytic) = 14.361989419603521 " " y[1] (numeric) = 14.361989419603521 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1176225235.883079 " " Order of pole (six term test) = -549755813888007. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6300000000000006 " " y[1] (analytic) = 14.376358592412098 " " y[1] (numeric) = 14.376358592412098 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 40.96 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6400000000000006 " " y[1] (analytic) = 14.390742141580464 " " y[1] (numeric) = 14.390742141580464 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6500000000000006 " " y[1] (analytic) = 14.405140081492172 " " y[1] (numeric) = 14.405140081492172 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.6600000000000006 " " y[1] (analytic) = 14.419552426545161 " " y[1] (numeric) = 14.419552426545163 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23190844407218200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6700000000000006 " " y[1] (analytic) = 14.43397919115178 " " y[1] (numeric) = 14.433979191151781 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23067715137706510000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.6800000000000006 " " y[1] (analytic) = 14.448420389738793 " " y[1] (numeric) = 14.448420389738793 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6900000000000006 " " y[1] (analytic) = 14.4628760367474 " " y[1] (numeric) = 14.4628760367474 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.7000000000000006 " " y[1] (analytic) = 14.477346146633245 " " y[1] (numeric) = 14.477346146633247 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.226990652436218800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647268 " " Order of pole (six term test) = -11.416666666666666 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7100000000000006 " " y[1] (analytic) = 14.491830733866447 " " y[1] (numeric) = 14.491830733866447 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 1.7200000000000006 " " y[1] (analytic) = 14.50632981293159 " " y[1] (numeric) = 14.50632981293159 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7300000000000006 " " y[1] (analytic) = 14.520843398327754 " " y[1] (numeric) = 14.520843398327754 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 876706528.0951005 " " Order of pole (six term test) = -91625968981345.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7400000000000007 " " y[1] (analytic) = 14.535371504568527 " " y[1] (numeric) = 14.535371504568527 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 784150157.2553854 " " Order of pole (six term test) = 91625968981321.81 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7500000000000007 " " y[1] (analytic) = 14.549914146182015 " " y[1] (numeric) = 14.549914146182015 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7600000000000007 " " y[1] (analytic) = 14.564471337710863 " " y[1] (numeric) = 14.564471337710863 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.998895 " " Order of pole (six term test) = -824633720832015. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7700000000000007 " " y[1] (analytic) = 14.579043093712261 " " y[1] (numeric) = 14.579043093712261 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.129456 " " Order of pole (six term test) = -274877906944010.9 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7800000000000007 " " y[1] (analytic) = 14.593629428757968 " " y[1] (numeric) = 14.59362942875797 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.217213886423476500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7900000000000007 " " y[1] (analytic) = 14.60823035743432 " " y[1] (numeric) = 14.608230357434321 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.21599728094117800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 487875500.6934621 " " Order of pole (six term test) = -79803263306334.39 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8000000000000007 " " y[1] (analytic) = 14.622845894342246 " " y[1] (numeric) = 14.622845894342248 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.214781891456261800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.8100000000000007 " " y[1] (analytic) = 14.637476054097288 " " y[1] (numeric) = 14.637476054097288 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.8200000000000007 " " y[1] (analytic) = 14.6521208513296 " " y[1] (numeric) = 14.652120851329602 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.212354755618232400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994457 " " Order of pole (six term test) = -11.416666666666666 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8300000000000007 " " y[1] (analytic) = 14.666780300683985 " " y[1] (numeric) = 14.666780300683989 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.422286013675967000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.8400000000000007 " " y[1] (analytic) = 14.681454416819895 " " y[1] (numeric) = 14.681454416819898 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.419864938401684300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956726 " " Order of pole (six term test) = 68719476735987.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8500000000000008 " " y[1] (analytic) = 14.696143214411446 " " y[1] (numeric) = 14.696143214411448 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.208723141496270700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.8600000000000008 " " y[1] (analytic) = 14.710846708147434 " " y[1] (numeric) = 14.710846708147436 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.207515022514941700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1592616498.1360288 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8700000000000008 " " y[1] (analytic) = 14.725564912731356 " " y[1] (numeric) = 14.725564912731357 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.206308111048735900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8800000000000008 " " y[1] (analytic) = 14.740297842881418 " " y[1] (numeric) = 14.74029784288142 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.205102405890741600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.8900000000000008 " " y[1] (analytic) = 14.755045513330552 " " y[1] (numeric) = 14.755045513330554 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.203897905835253400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9000000000000008 " " y[1] (analytic) = 14.769807938826427 " " y[1] (numeric) = 14.76980793882643 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.405389219355543700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994457 " " Order of pole (six term test) = -11.416666666666666 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9100000000000008 " " y[1] (analytic) = 14.784585134131474 " " y[1] (numeric) = 14.784585134131476 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.201492516214999900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 1.9200000000000008 " " y[1] (analytic) = 14.799377114022887 " " y[1] (numeric) = 14.799377114022887 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 1.9300000000000008 " " y[1] (analytic) = 14.814183893292645 " " y[1] (numeric) = 14.814183893292647 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.19909193256641300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 1.9400000000000008 " " y[1] (analytic) = 14.829005486747533 " " y[1] (numeric) = 14.829005486747533 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 40.96 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9500000000000008 " " y[1] (analytic) = 14.843841909209143 " " y[1] (numeric) = 14.843841909209143 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 1.9600000000000009 " " y[1] (analytic) = 14.8586931755139 " " y[1] (numeric) = 14.8586931755139 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994432 " " Order of pole (six term test) = -11.828125 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9700000000000009 " " y[1] (analytic) = 14.873559300513069 " " y[1] (numeric) = 14.873559300513069 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9800000000000009 " " y[1] (analytic) = 14.888440299072778 " " y[1] (numeric) = 14.888440299072778 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 1.9900000000000009 " " y[1] (analytic) = 14.903336186074029 " " y[1] (numeric) = 14.903336186074029 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.000000000000001 " " y[1] (analytic) = 14.918246976412705 " " y[1] (numeric) = 14.918246976412705 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1073741824. " " Order of pole (six term test) = -68719476736011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0100000000000007 " " y[1] (analytic) = 14.933172684999601 " " y[1] (numeric) = 14.933172684999603 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.189537465929530200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 2.0200000000000005 " " y[1] (analytic) = 14.948113326760428 " " y[1] (numeric) = 14.94811332676043 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.18834852303412700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.0300000000000002 " " y[1] (analytic) = 14.963068916635827 " " y[1] (numeric) = 14.963068916635828 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.187160768487345900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.04 " " y[1] (analytic) = 14.978039469581388 " " y[1] (numeric) = 14.978039469581391 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.37194840220286420000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.05 " " y[1] (analytic) = 14.99302500056767 " " y[1] (numeric) = 14.993025000567672 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.184788819689818000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.129456 " " Order of pole (six term test) = -274877906944010.9 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0599999999999996 " " y[1] (analytic) = 15.0080255245802 " " y[1] (numeric) = 15.008025524580201 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.183604623067122800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.0699999999999994 " " y[1] (analytic) = 15.023041056619505 " " y[1] (numeric) = 15.023041056619507 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.18242161004914900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.079999999999999 " " y[1] (analytic) = 15.038071611701119 " " y[1] (numeric) = 15.03807161170112 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.181239779452884000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913502 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.089999999999999 " " y[1] (analytic) = 15.053117204855598 " " y[1] (numeric) = 15.0531172048556 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.180059130096496700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 905458608.7529743 " " Order of pole (six term test) = -152709948302234.56 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0999999999999988 " " y[1] (analytic) = 15.068177851128535 " " y[1] (numeric) = 15.068177851128537 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.17887966079933790000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.1099999999999985 " " y[1] (analytic) = 15.083253565580579 " " y[1] (numeric) = 15.083253565580582 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.355402740763876700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.12946 " " Order of pole (six term test) = -274877906944012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1199999999999983 " " y[1] (analytic) = 15.098344363287445 " " y[1] (numeric) = 15.09834436328745 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.52957277299802140000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.129999999999998 " " y[1] (analytic) = 15.113450259339936 " " y[1] (numeric) = 15.11345025933994 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.35069664294886300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956726 " " Order of pole (six term test) = 68719476735987.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.139999999999998 " " y[1] (analytic) = 15.128571268843942 " " y[1] (numeric) = 15.128571268843947 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.52252068189382650000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 28.96309375740099 " " Order of pole (six term test) = -274877906944009.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1499999999999977 " " y[1] (analytic) = 15.143707406920479 " " y[1] (numeric) = 15.143707406920484 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.51899992188533400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.1599999999999975 " " y[1] (analytic) = 15.158858688705685 " " y[1] (numeric) = 15.15885868870569 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.51548268087705560000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.1699999999999973 " " y[1] (analytic) = 15.174025129350843 " " y[1] (numeric) = 15.174025129350849 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.51196895535175200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994462 " " Order of pole (six term test) = -183251937962678.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.179999999999997 " " y[1] (analytic) = 15.189206744022394 " " y[1] (numeric) = 15.189206744022401 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.677944989060928700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 846978972.9646552 " " Order of pole (six term test) = -183251937962679. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.189999999999997 " " y[1] (analytic) = 15.204403547901958 " " y[1] (numeric) = 15.204403547901963 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.50495203669867400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.1999999999999966 " " y[1] (analytic) = 15.219615556186335 " " y[1] (numeric) = 15.21961555618634 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.50144883655398100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994437 " " Order of pole (six term test) = -11.802083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2099999999999964 " " y[1] (analytic) = 15.234842784087535 " " y[1] (numeric) = 15.234842784087542 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.663932183811222400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.219999999999996 " " y[1] (analytic) = 15.25008524683279 " " y[1] (numeric) = 15.250085246832796 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.659270582816375500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956704 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.229999999999996 " " y[1] (analytic) = 15.265342959664562 " " y[1] (numeric) = 15.265342959664569 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.654613641092499300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.12946 " " Order of pole (six term test) = -274877906944012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2399999999999958 " " y[1] (analytic) = 15.280615937840565 " " y[1] (numeric) = 15.280615937840572 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.64996135398265300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 289566636.0247276 " " Order of pole (six term test) = -124944503156374.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2499999999999956 " " y[1] (analytic) = 15.295904196633781 " " y[1] (numeric) = 15.295904196633789 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.64531371683454700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2599999999999953 " " y[1] (analytic) = 15.311207751332468 " " y[1] (numeric) = 15.311207751332475 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.64067072500054600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647278 " " Order of pole (six term test) = -11.145833333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.269999999999995 " " y[1] (analytic) = 15.326526617240182 " " y[1] (numeric) = 15.326526617240189 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.63603237383765630000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.499442 " " Order of pole (six term test) = -274877906944009.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.279999999999995 " " y[1] (analytic) = 15.34186080967579 " " y[1] (numeric) = 15.341860809675797 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.63139865870752600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.2899999999999947 " " y[1] (analytic) = 15.357210343973486 " " y[1] (numeric) = 15.357210343973493 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.626769574976441500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2999999999999945 " " y[1] (analytic) = 15.372575235482806 " " y[1] (numeric) = 15.372575235482815 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.77768139751914700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.129456 " " Order of pole (six term test) = -1374389534720006.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3099999999999943 " " y[1] (analytic) = 15.387955499568642 " " y[1] (numeric) = 15.387955499568651 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.7719066039996200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.319999999999994 " " y[1] (analytic) = 15.403351151611263 " " y[1] (numeric) = 15.40335115161127 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 4.612910065909743000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 535016430.0786593 " " Order of pole (six term test) = -75828388122494.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.329999999999994 " " y[1] (analytic) = 15.418762207006315 " " y[1] (numeric) = 15.418762207006324 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.760374326912800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.3399999999999936 " " y[1] (analytic) = 15.43418868116486 " " y[1] (numeric) = 15.434188681164871 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.90554019817587400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3499999999999934 " " y[1] (analytic) = 15.449630589513374 " " y[1] (numeric) = 15.449630589513385 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.89863810959716200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.359999999999993 " " y[1] (analytic) = 15.465087947493764 " " y[1] (numeric) = 15.465087947493775 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.89174291965713400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 2.369999999999993 " " y[1] (analytic) = 15.48056077056339 " " y[1] (numeric) = 15.480560770563402 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 8.03233039170403300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.379999999999993 " " y[1] (analytic) = 15.496049074195078 " " y[1] (numeric) = 15.496049074195088 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.87797320811926100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3899999999999926 " " y[1] (analytic) = 15.51155287387713 " " y[1] (numeric) = 15.511552873877141 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.87109867275170400000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -183251937962678. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3999999999999924 " " y[1] (analytic) = 15.527072185113349 " " y[1] (numeric) = 15.527072185113362 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 8.00826950989729100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.409999999999992 " " y[1] (analytic) = 15.542607023423047 " " y[1] (numeric) = 15.54260702342306 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 8.00026524318777100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.419999999999992 " " y[1] (analytic) = 15.558157404341065 " " y[1] (numeric) = 15.558157404341076 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.85051626578070800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294634 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4299999999999917 " " y[1] (analytic) = 15.57372334341778 " " y[1] (numeric) = 15.573723343417793 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 7.98428070257019300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1176225235.8830812 " " Order of pole (six term test) = -274877906944010.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4399999999999915 " " y[1] (analytic) = 15.58930485621914 " " y[1] (numeric) = 15.589304856219153 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 7.97630041267759300000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4499999999999913 " " y[1] (analytic) = 15.604901958326653 " " y[1] (numeric) = 15.604901958326668 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 9.10666068466979500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.459999999999991 " " y[1] (analytic) = 15.620514665337426 " " y[1] (numeric) = 15.62051466533744 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 9.09755857579807100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.469999999999991 " " y[1] (analytic) = 15.636142992864166 " " y[1] (numeric) = 15.63614299286418 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 9.08846556448568000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 2.4799999999999907 " " y[1] (analytic) = 15.651786956535203 " " y[1] (numeric) = 15.651786956535215 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 7.94445893643466000000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 2.4899999999999904 " " y[1] (analytic) = 15.6674465719945 " " y[1] (numeric) = 15.667446571994512 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 7.93651844840394700000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.4999999999999902 " " y[1] (analytic) = 15.683121854901675 " " y[1] (numeric) = 15.683121854901687 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 7.92858589689234500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.9940094 " " Order of pole (six term test) = -34359738368011.125 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.50999999999999 " " y[1] (analytic) = 15.698812820932009 " " y[1] (numeric) = 15.698812820932023 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 9.05218431310548800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.51999999999999 " " y[1] (analytic) = 15.714519485776474 " " y[1] (numeric) = 15.714519485776488 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 9.04313665337621900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.5299999999999896 " " y[1] (analytic) = 15.730241865141734 " " y[1] (numeric) = 15.73024186514175 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.01633602913824020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.5399999999999894 " " y[1] (analytic) = 15.74597997475017 " " y[1] (numeric) = 15.745979974750187 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.01532020110776940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.549999999999989 " " y[1] (analytic) = 15.761733830339894 " " y[1] (numeric) = 15.76173383033991 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.01430538839758460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.559999999999989 " " y[1] (analytic) = 15.777503447664763 " " y[1] (numeric) = 15.777503447664778 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 9.00703635549219800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.5699999999999887 " " y[1] (analytic) = 15.793288842494393 " " y[1] (numeric) = 15.793288842494407 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 8.99803382115408800000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.5799999999999885 " " y[1] (analytic) = 15.809090030614179 " " y[1] (numeric) = 15.809090030614195 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.01126703204568670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.5899999999999883 " " y[1] (analytic) = 15.824907027825317 " " y[1] (numeric) = 15.824907027825331 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 8.98005573758804100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.599999999999988 " " y[1] (analytic) = 15.8407398499448 " " y[1] (numeric) = 15.840739849944814 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 8.97108017038201900000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 876706528.0951008 " " Order of pole (six term test) = -160345445717345.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.609999999999988 " " y[1] (analytic) = 15.856588512805452 " " y[1] (numeric) = 15.856588512805468 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.00823777710390300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6199999999999877 " " y[1] (analytic) = 15.87245303225594 " " y[1] (numeric) = 15.872453032255954 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 8.95315594024613500000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 526023916.8570569 " " Order of pole (six term test) = -109951162777611.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6299999999999875 " " y[1] (analytic) = 15.88833342416078 " " y[1] (numeric) = 15.888333424160797 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.00622331668160450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.6399999999999872 " " y[1] (analytic) = 15.904229704400372 " " y[1] (numeric) = 15.904229704400388 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.00521759630891910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956726 " " Order of pole (six term test) = 68719476735987.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.649999999999987 " " y[1] (analytic) = 15.920141888870992 " " y[1] (numeric) = 15.920141888871008 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.0042128811539140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637814 " " Order of pole (six term test) = -128276356573878.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.659999999999987 " " y[1] (analytic) = 15.936069993484827 " " y[1] (numeric) = 15.936069993484844 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.1146768557909710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 640255922.332961 " " Order of pole (six term test) = 91625968981321.81 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6699999999999866 " " y[1] (analytic) = 15.952014034169984 " " y[1] (numeric) = 15.952014034170002 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.11356273608787470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.6799999999999864 " " y[1] (analytic) = 15.967974026870504 " " y[1] (numeric) = 15.967974026870523 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.22369470294236840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 743910157.351872 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.689999999999986 " " y[1] (analytic) = 15.983949987546382 " " y[1] (numeric) = 15.983949987546401 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.22247161988287930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647249 " " Order of pole (six term test) = -137438953472011.37 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.699999999999986 " " y[1] (analytic) = 15.99994193217358 " " y[1] (numeric) = 15.999941932173599 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.11022705390464730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.7099999999999858 " " y[1] (analytic) = 16.015949876744042 " " y[1] (numeric) = 16.015949876744063 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.33094085813513400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.7199999999999855 " " y[1] (analytic) = 16.031973837265717 " " y[1] (numeric) = 16.03197383726574 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.32961058252565960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.7299999999999853 " " y[1] (analytic) = 16.048013829762567 " " y[1] (numeric) = 16.048013829762585 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.10690136377239890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 640255922.3329629 " " Order of pole (six term test) = -30541989660456.137 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.739999999999985 " " y[1] (analytic) = 16.06406987027458 " " y[1] (numeric) = 16.0640698702746 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.32695401880984550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.749999999999985 " " y[1] (analytic) = 16.080141974857806 " " y[1] (numeric) = 16.080141974857824 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.10468977337245090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7599999999999847 " " y[1] (analytic) = 16.096230159584344 " " y[1] (numeric) = 16.096230159584362 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.10358563575989620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 960383883.4994432 " " Order of pole (six term test) = -11.828125 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7699999999999845 " " y[1] (analytic) = 16.112334440542384 " " y[1] (numeric) = 16.1123344405424 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.10248260173306930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 2.7799999999999843 " " y[1] (analytic) = 16.128454833836205 " " y[1] (numeric) = 16.128454833836226 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.32165680422672320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.789999999999984 " " y[1] (analytic) = 16.144591355586208 " " y[1] (numeric) = 16.14459135558623 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.32033580803067760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.799999999999984 " " y[1] (analytic) = 16.16074402192891 " " y[1] (numeric) = 16.16074402192893 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.319016132170549900000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = -366503875925343.3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8099999999999836 " " y[1] (analytic) = 16.17691284901698 " " y[1] (numeric) = 16.176912849017 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.31769777532666440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8199999999999834 " " y[1] (analytic) = 16.193097853019246 " " y[1] (numeric) = 16.193097853019268 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.3163807361806640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.829999999999983 " " y[1] (analytic) = 16.209299050120716 " " y[1] (numeric) = 16.209299050120737 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.31506501341550950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647284 " " Order of pole (six term test) = -91625968981344.83 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.839999999999983 " " y[1] (analytic) = 16.225516456522588 " " y[1] (numeric) = 16.22551645652261 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.3137506057154780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 846978972.9646552 " " Order of pole (six term test) = -183251937962679. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8499999999999828 " " y[1] (analytic) = 16.241750088442267 " " y[1] (numeric) = 16.241750088442288 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.31243751176616190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.8599999999999826 " " y[1] (analytic) = 16.257999962113388 " " y[1] (numeric) = 16.25799996211341 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.31112573025446650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.8699999999999823 " " y[1] (analytic) = 16.274266093785826 " " y[1] (numeric) = 16.274266093785847 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.3098152598686108000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 28.96309375740099 " " Order of pole (six term test) = -274877906944011.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.879999999999982 " " y[1] (analytic) = 16.290548499725716 " " y[1] (numeric) = 16.290548499725737 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.3085060992981240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.129456 " " Order of pole (six term test) = -1374389534720006.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.889999999999982 " " y[1] (analytic) = 16.30684719621546 " " y[1] (numeric) = 16.306847196215482 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.3071982472338460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1663433680.9913502 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8999999999999817 " " y[1] (analytic) = 16.32316219955376 " " y[1] (numeric) = 16.323162199553785 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 1.52354031942924460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.9099999999999815 " " y[1] (analytic) = 16.33949352605562 " " y[1] (numeric) = 16.339493526055644 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 1.52201754062611520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 876706528.0950983 " " Order of pole (six term test) = -183251937962678.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9199999999999813 " " y[1] (analytic) = 16.35584119205237 " " y[1] (numeric) = 16.35584119205239 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 1.3032825290062738000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.929999999999981 " " y[1] (analytic) = 16.37220521389167 " " y[1] (numeric) = 16.372205213891696 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 1.51897654755160180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.939999999999981 " " y[1] (analytic) = 16.388585607937554 " " y[1] (numeric) = 16.38858560793758 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 1.51745833023922440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9499999999999806 " " y[1] (analytic) = 16.40498239057041 " " y[1] (numeric) = 16.404982390570435 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 1.5159416303853040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 2.9599999999999804 " " y[1] (analytic) = 16.42139557818702 " " y[1] (numeric) = 16.42139557818705 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.73077308168358900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.96999999999998 " " y[1] (analytic) = 16.43782518720058 " " y[1] (numeric) = 16.43782518720061 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.7290431737000560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647277 " " Order of pole (six term test) = -11.1875 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.97999999999998 " " y[1] (analytic) = 16.454271234040696 " " y[1] (numeric) = 16.454271234040725 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.7273149947598410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 2.98999999999998 " " y[1] (analytic) = 16.470733735153416 " " y[1] (numeric) = 16.47073373515345 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.94128711102661030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 2147483647.9999945 " " Order of pole (six term test) = -549755813888009. " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9999999999999796 " " y[1] (analytic) = 16.487212707001248 " " y[1] (numeric) = 16.487212707001277 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.72386381709837530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0099999999999794 " " y[1] (analytic) = 16.50370816606316 " " y[1] (numeric) = 16.503708166063188 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.72214081492594650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 846978972.9646552 " " Order of pole (six term test) = -183251937962679. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.019999999999979 " " y[1] (analytic) = 16.520220128834612 " " y[1] (numeric) = 16.52022012883464 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.72041953489447620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.029999999999979 " " y[1] (analytic) = 16.53674861182757 " " y[1] (numeric) = 16.536748611827598 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.71869997528268450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0399999999999787 " " y[1] (analytic) = 16.553293631570515 " " y[1] (numeric) = 16.553293631570543 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.71698213437101120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0499999999999785 " " y[1] (analytic) = 16.569855204608473 " " y[1] (numeric) = 16.5698552046085 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.71526601044161500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0599999999999783 " " y[1] (analytic) = 16.586433347503014 " " y[1] (numeric) = 16.586433347503046 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.92774555200066920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.069999999999978 " " y[1] (analytic) = 16.60302807683229 " " y[1] (numeric) = 16.60302807683232 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.71183890666687430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 743910157.351872 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.079999999999978 " " y[1] (analytic) = 16.619639409191024 " " y[1] (numeric) = 16.619639409191056 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.92389391381872920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0899999999999777 " " y[1] (analytic) = 16.63626736119055 " " y[1] (numeric) = 16.636267361190583 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.92197098153129850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956704 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0999999999999774 " " y[1] (analytic) = 16.652911949458826 " " y[1] (numeric) = 16.652911949458858 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.92004997121500960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1099999999999772 " " y[1] (analytic) = 16.66957319064044 " " y[1] (numeric) = 16.66957319064047 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.9181308809488520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994439 " " Order of pole (six term test) = -164926744166411.4 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.119999999999977 " " y[1] (analytic) = 16.686251101396632 " " y[1] (numeric) = 16.686251101396664 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.91621370881373500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.129999999999977 " " y[1] (analytic) = 16.702945698405316 " " y[1] (numeric) = 16.702945698405347 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.91429845289248670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1399999999999766 " " y[1] (analytic) = 16.71965699836109 " " y[1] (numeric) = 16.719656998361124 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 2.12487234585538980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1499999999999764 " " y[1] (analytic) = 16.73638501797526 " " y[1] (numeric) = 16.73638501797529 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.91047368203248500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.159999999999976 " " y[1] (analytic) = 16.753129773975836 " " y[1] (numeric) = 16.75312977397587 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 2.12062684807662330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.169999999999976 " " y[1] (analytic) = 16.769891283107587 " " y[1] (numeric) = 16.769891283107622 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 2.1185072811886210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294591 " " Order of pole (six term test) = -206158430208011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1799999999999757 " " y[1] (analytic) = 16.786669562132012 " " y[1] (numeric) = 16.78666956213205 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 2.3280288160888850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 876706528.0951008 " " Order of pole (six term test) = -160345445717345.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1899999999999755 " " y[1] (analytic) = 16.803464627827406 " " y[1] (numeric) = 16.80346462782744 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 2.11427450081754180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 40.96 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1999999999999753 " " y[1] (analytic) = 16.82027649698882 " " y[1] (numeric) = 16.82027649698886 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 2.32337741141185240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.209999999999975 " " y[1] (analytic) = 16.83710518642814 " " y[1] (numeric) = 16.83710518642818 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 2.32105519530201370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.219999999999975 " " y[1] (analytic) = 16.853950712974047 " " y[1] (numeric) = 16.853950712974086 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 2.3187353002475630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2299999999999747 " " y[1] (analytic) = 16.87081309347207 " " y[1] (numeric) = 16.870813093472112 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.5270011533766620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2399999999999745 " " y[1] (analytic) = 16.887692344784597 " " y[1] (numeric) = 16.887692344784636 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 2.31410246402756680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2499999999999742 " " y[1] (analytic) = 16.90458848379087 " " y[1] (numeric) = 16.904588483790914 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.52195220170456500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.259999999999974 " " y[1] (analytic) = 16.921501527387036 " " y[1] (numeric) = 16.921501527387083 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 2.72938413589696950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 725981976.8268433 " " Order of pole (six term test) = -196341362102867.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.269999999999974 " " y[1] (analytic) = 16.938431492486146 " " y[1] (numeric) = 16.93843149248619 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.51691333784463600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2799999999999736 " " y[1] (analytic) = 16.955378396018155 " " y[1] (numeric) = 16.955378396018197 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.514397682544080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.2899999999999734 " " y[1] (analytic) = 16.972342254929973 " " y[1] (numeric) = 16.972342254930016 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.5118845416414160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.299999999999973 " " y[1] (analytic) = 16.98932308618546 " " y[1] (numeric) = 16.989323086185504 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.5093739126235026000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.309999999999973 " " y[1] (analytic) = 17.006320906765453 " " y[1] (numeric) = 17.006320906765495 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.5068657929797110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3199999999999728 " " y[1] (analytic) = 17.023335733667768 " " y[1] (numeric) = 17.02333573366781 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.5043601802019210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 526023916.8570569 " " Order of pole (six term test) = -109951162777611.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3299999999999725 " " y[1] (analytic) = 17.040367583907233 " " y[1] (numeric) = 17.040367583907276 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.50185707178452070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647284 " " Order of pole (six term test) = -274877906944011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3399999999999723 " " y[1] (analytic) = 17.057416474515705 " " y[1] (numeric) = 17.057416474515747 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 2.49935646522439960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.349999999999972 " " y[1] (analytic) = 17.07448242254207 " " y[1] (numeric) = 17.074482422542115 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 2.7049298878560320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.359999999999972 " " y[1] (analytic) = 17.09156544505228 " " y[1] (numeric) = 17.09156544505233 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.9100898722887510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3699999999999717 " " y[1] (analytic) = 17.10866555912936 " " y[1] (numeric) = 17.10866555912941 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.90718123697650430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3799999999999715 " " y[1] (analytic) = 17.125782781873426 " " y[1] (numeric) = 17.125782781873475 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.90427550884573700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994462 " " Order of pole (six term test) = -183251937962678.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3899999999999713 " " y[1] (analytic) = 17.142917130401703 " " y[1] (numeric) = 17.142917130401752 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.9013726849907210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1518500249.988026 " " Order of pole (six term test) = -962072674304014.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.399999999999971 " " y[1] (analytic) = 17.160068621848538 " " y[1] (numeric) = 17.160068621848588 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.89847276250863150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 362990988.41341925 " " Order of pole (six term test) = -98170681051439.94 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.409999999999971 " " y[1] (analytic) = 17.17723727336542 " " y[1] (numeric) = 17.177237273365474 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.10240257696380000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 619925131.1265612 " " Order of pole (six term test) = -45812984490678.664 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4199999999999706 " " y[1] (analytic) = 17.194423102121014 " " y[1] (numeric) = 17.194423102121064 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.89268161006644040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4299999999999704 " " y[1] (analytic) = 17.211626125301137 " " y[1] (numeric) = 17.21162612530119 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.09620397248055700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.43999999999997 " " y[1] (analytic) = 17.22884636010882 " " y[1] (numeric) = 17.228846360108875 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.09310931609415750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.44999999999997 " " y[1] (analytic) = 17.246083823764305 " " y[1] (numeric) = 17.246083823764355 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 2.88401656929617670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4599999999999698 " " y[1] (analytic) = 17.263338533505046 " " y[1] (numeric) = 17.2633385335051 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.0869292795585170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4699999999999696 " " y[1] (analytic) = 17.28061050658576 " " y[1] (numeric) = 17.280610506585813 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.08384389322923900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956715 " " Order of pole (six term test) = -343597383680008.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4799999999999693 " " y[1] (analytic) = 17.29789976027842 " " y[1] (numeric) = 17.297899760278472 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.08076159074411050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.489999999999969 " " y[1] (analytic) = 17.31520631187228 " " y[1] (numeric) = 17.315206311872334 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.077682369020830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.12946 " " Order of pole (six term test) = -274877906944012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.499999999999969 " " y[1] (analytic) = 17.3325301786739 " " y[1] (numeric) = 17.332530178673952 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.0746062249801750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 846978972.9646552 " " Order of pole (six term test) = -183251937962679. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5099999999999687 " " y[1] (analytic) = 17.349871378007137 " " y[1] (numeric) = 17.349871378007194 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.27630203258240160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5199999999999685 " " y[1] (analytic) = 17.367229927213202 " " y[1] (numeric) = 17.36722992721326 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.27302736815492160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994437 " " Order of pole (six term test) = -11.802083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5299999999999683 " " y[1] (analytic) = 17.384605843650643 " " y[1] (numeric) = 17.384605843650696 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.06539622820788950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.539999999999968 " " y[1] (analytic) = 17.401999144695374 " " y[1] (numeric) = 17.401999144695427 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.0623323641670236000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637824 " " Order of pole (six term test) = -274877906944011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.549999999999968 " " y[1] (analytic) = 17.4194098477407 " " y[1] (numeric) = 17.419409847740752 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.0592715624587780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913502 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5599999999999676 " " y[1] (analytic) = 17.436837970197324 " " y[1] (numeric) = 17.436837970197377 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.05621382002234930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 715827882.6666652 " " Order of pole (six term test) = -30541989660456.61 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5699999999999674 " " y[1] (analytic) = 17.454283529493374 " " y[1] (numeric) = 17.454283529493427 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.05315913379999500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.579999999999967 " " y[1] (analytic) = 17.471746543074406 " " y[1] (numeric) = 17.47174654307446 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.05010750073702930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.589999999999967 " " y[1] (analytic) = 17.489227028403437 " " y[1] (numeric) = 17.48922702840349 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.0470589177818186000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.564728 " " Order of pole (six term test) = -137438953472011.62 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.599999999999967 " " y[1] (analytic) = 17.506725002960955 " " y[1] (numeric) = 17.50672500296101 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.044013381885780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1796713725.9171734 " " Order of pole (six term test) = -549755813888011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6099999999999666 " " y[1] (analytic) = 17.52424048424493 " " y[1] (numeric) = 17.524240484244988 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.24370228267026900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294634 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6199999999999664 " " y[1] (analytic) = 17.541773489770858 " " y[1] (numeric) = 17.54177348977091 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.03793143909211640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 652452369.1494116 " " Order of pole (six term test) = -105722271901550.22 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.629999999999966 " " y[1] (analytic) = 17.559324037071733 " " y[1] (numeric) = 17.559324037071786 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 3.0348950261125485000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.639999999999966 " " y[1] (analytic) = 17.576892143698107 " " y[1] (numeric) = 17.576892143698164 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.23398575789681060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6499999999999657 " " y[1] (analytic) = 17.594477827218093 " " y[1] (numeric) = 17.59447782721815 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.2307533885929290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6599999999999655 " " y[1] (analytic) = 17.612081105217367 " " y[1] (numeric) = 17.612081105217428 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.42924451567037660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6699999999999653 " " y[1] (analytic) = 17.62970199529922 " " y[1] (numeric) = 17.62970199529928 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.22429833901700270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.679999999999965 " " y[1] (analytic) = 17.647340515084533 " " y[1] (numeric) = 17.647340515084593 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.4223928805580260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.689999999999965 " " y[1] (analytic) = 17.664996682211836 " " y[1] (numeric) = 17.664996682211893 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.21785618663873100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994457 " " Order of pole (six term test) = -11.416666666666666 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6999999999999647 " " y[1] (analytic) = 17.682670514337293 " " y[1] (numeric) = 17.68267051433735 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 3.214639938844010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7099999999999644 " " y[1] (analytic) = 17.70036202913473 " " y[1] (numeric) = 17.700362029134794 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.61285526890068430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1108955787.3275676 " " Order of pole (six term test) = -91625968981345.33 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7199999999999642 " " y[1] (analytic) = 17.718071244295682 " " y[1] (numeric) = 17.718071244295743 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.408730651709790400000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994456 " " Order of pole (six term test) = -11.427083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.729999999999964 " " y[1] (analytic) = 17.735798177529347 " " y[1] (numeric) = 17.73579817752941 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.60563677925868800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.739999999999964 " " y[1] (analytic) = 17.75354284656267 " " y[1] (numeric) = 17.753542846562734 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.6020329446970295000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7499999999999636 " " y[1] (analytic) = 17.77130526914032 " " y[1] (numeric) = 17.771305269140385 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.5984327121686160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7599999999999634 " " y[1] (analytic) = 17.789085463024715 " " y[1] (numeric) = 17.789085463024783 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.7945491935217274000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.769999999999963 " " y[1] (analytic) = 17.806883445996064 " " y[1] (numeric) = 17.806883445996128 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.5912430388141910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 766121306.9029994 " " Order of pole (six term test) = -124944503156375.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.779999999999963 " " y[1] (analytic) = 17.824699235852336 " " y[1] (numeric) = 17.824699235852403 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.78696767917620100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7899999999999627 " " y[1] (analytic) = 17.842532850409334 " " y[1] (numeric) = 17.8425328504094 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.58406773043670900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994473 " " Order of pole (six term test) = -274877906944012.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7999999999999625 " " y[1] (analytic) = 17.860384307500667 " " y[1] (numeric) = 17.86038430750073 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.5804854541429430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 429496729.60000235 " " Order of pole (six term test) = -164926744166410.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8099999999999623 " " y[1] (analytic) = 17.878253624977795 " " y[1] (numeric) = 17.87825362497786 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.5769067583349290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.819999999999962 " " y[1] (analytic) = 17.89614082071004 " " y[1] (numeric) = 17.8961408207101 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.37481321502097250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.829999999999962 " " y[1] (analytic) = 17.914045912584594 " " y[1] (numeric) = 17.91404591258466 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.5697600938649510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294634 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8399999999999617 " " y[1] (analytic) = 17.93196891850656 " " y[1] (numeric) = 17.93196891850662 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.36807033371985860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 607400099.9952074 " " Order of pole (six term test) = 18325193796255.105 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8499999999999615 " " y[1] (analytic) = 17.949909856398932 " " y[1] (numeric) = 17.949909856398993 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3647039468601010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 876706528.0950983 " " Order of pole (six term test) = -183251937962678.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8599999999999612 " " y[1] (analytic) = 17.967868744202658 " " y[1] (numeric) = 17.96786874420272 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.36134092470457060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994456 " " Order of pole (six term test) = -11.427083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.869999999999961 " " y[1] (analytic) = 17.985845599876626 " " y[1] (numeric) = 17.985845599876686 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3579812638902450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.879999999999961 " " y[1] (analytic) = 18.003840441397692 " " y[1] (numeric) = 18.003840441397752 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3546249610574630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294568 " " Order of pole (six term test) = -206158430208011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8899999999999606 " " y[1] (analytic) = 18.021853286760702 " " y[1] (numeric) = 18.021853286760763 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.35127201284992200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.5647308 " " Order of pole (six term test) = -91625968981345.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8999999999999604 " " y[1] (analytic) = 18.039884153978498 " " y[1] (numeric) = 18.03988415397856 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.34792241591467250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.90999999999996 " " y[1] (analytic) = 18.057933061081954 " " y[1] (numeric) = 18.057933061082014 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.34457616690211850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913502 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.91999999999996 " " y[1] (analytic) = 18.076000026119974 " " y[1] (numeric) = 18.076000026120035 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.34123326246600960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9299999999999597 " " y[1] (analytic) = 18.094085067159526 " " y[1] (numeric) = 18.094085067159586 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3378936992634420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9399999999999595 " " y[1] (analytic) = 18.112188202285655 " " y[1] (numeric) = 18.112188202285715 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.33455747395485170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9499999999999593 " " y[1] (analytic) = 18.130309449601494 " " y[1] (numeric) = 18.130309449601555 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3312245832040130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1108955787.327567 " " Order of pole (six term test) = -274877906944013.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.959999999999959 " " y[1] (analytic) = 18.148448827228293 " " y[1] (numeric) = 18.148448827228354 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.32789502367803500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 652452369.1494116 " " Order of pole (six term test) = -105722271901550.22 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.969999999999959 " " y[1] (analytic) = 18.166606353305433 " " y[1] (numeric) = 18.166606353305493 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.32456879204735900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 725981976.8268433 " " Order of pole (six term test) = -196341362102867.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9799999999999587 " " y[1] (analytic) = 18.18478204599044 " " y[1] (numeric) = 18.1847820459905 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.32124588498575100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9899999999999585 " " y[1] (analytic) = 18.202975923459007 " " y[1] (numeric) = 18.202975923459068 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.31792629917030570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294591 " " Order of pole (six term test) = -206158430208011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9999999999999583 " " y[1] (analytic) = 18.221188003905016 " " y[1] (numeric) = 18.221188003905077 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3146100312814347000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.009999999999958 " " y[1] (analytic) = 18.239418305540546 " " y[1] (numeric) = 18.239418305540607 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.3112970780028730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 480191941.7497201 " " Order of pole (six term test) = -137438953472011.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.019999999999958 " " y[1] (analytic) = 18.257666846595903 " " y[1] (numeric) = 18.257666846595964 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 3.30798743602166400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.029999999999958 " " y[1] (analytic) = 18.275933645319625 " " y[1] (numeric) = 18.27593364531969 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.49907410802982400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.039999999999957 " " y[1] (analytic) = 18.294218719978517 " " y[1] (numeric) = 18.29421871997858 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.49557678287581550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1239850262.25312 " " Order of pole (six term test) = -91625968981345.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.049999999999957 " " y[1] (analytic) = 18.312522088857655 " " y[1] (numeric) = 18.31252208885772 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.492082953298880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.059999999999957 " " y[1] (analytic) = 18.330843770260405 " " y[1] (numeric) = 18.330843770260472 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.68240331668325650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647296 " " Order of pole (six term test) = -137438953472012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.069999999999957 " " y[1] (analytic) = 18.349183782508458 " " y[1] (numeric) = 18.349183782508522 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.48510576690440550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.0799999999999566 " " y[1] (analytic) = 18.36754214394182 " " y[1] (numeric) = 18.367542143941883 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.48162240310967900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.499442 " " Order of pole (six term test) = -274877906944009.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.089999999999956 " " y[1] (analytic) = 18.385918872918854 " " y[1] (numeric) = 18.385918872918918 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.47814252093764540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.099999999999956 " " y[1] (analytic) = 18.404313987816295 " " y[1] (numeric) = 18.40431398781636 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.47466611690842250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994462 " " Order of pole (six term test) = -91625968981345.33 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.109999999999956 " " y[1] (analytic) = 18.422727507029254 " " y[1] (numeric) = 18.42272750702932 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.66403725352036360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1358187913.129456 " " Order of pole (six term test) = -274877906944010.9 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.119999999999956 " " y[1] (analytic) = 18.441159448971263 " " y[1] (numeric) = 18.441159448971327 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 3.46772372937626750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.1299999999999555 " " y[1] (analytic) = 18.45960983207425 " " y[1] (numeric) = 18.459609832074317 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.65671650220488860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 743910157.351872 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.139999999999955 " " y[1] (analytic) = 18.478078674788613 " " y[1] (numeric) = 18.47807867478868 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.65306161345163360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.149999999999955 " " y[1] (analytic) = 18.49656599558319 " " y[1] (numeric) = 18.496565995583257 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.64941037776029700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.159999999999955 " " y[1] (analytic) = 18.515071812945298 " " y[1] (numeric) = 18.51507181294537 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 3.8376450436627830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.169999999999955 " " y[1] (analytic) = 18.53359614538077 " " y[1] (numeric) = 18.533596145380837 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.6421188509620840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.179999999999954 " " y[1] (analytic) = 18.552139011413928 " " y[1] (numeric) = 18.552139011413995 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.63847855256368000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 4.189999999999954 " " y[1] (analytic) = 18.570700429587642 " " y[1] (numeric) = 18.57070042958771 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.6348418926441306000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.199999999999954 " " y[1] (analytic) = 18.589280418463336 " " y[1] (numeric) = 18.589280418463403 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.63120886756677750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.209999999999954 " " y[1] (analytic) = 18.607878996620993 " " y[1] (numeric) = 18.607878996621064 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 3.81850470915641560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000009 " " "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] = 4.219999999999954 " " y[1] (analytic) = 18.626496182659206 " " y[1] (numeric) = 18.626496182659274 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 3.62395370741018630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 743910157.351872 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.229999999999953 " " y[1] (analytic) = 18.645131995195147 " " y[1] (numeric) = 18.645131995195218 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 3.81087533165872570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.5647271 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.239999999999953 " " y[1] (analytic) = 18.663786452864638 " " y[1] (numeric) = 18.66378645286471 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 3.80706636112974560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.249999999999953 " " y[1] (analytic) = 18.682459574322138 " " y[1] (numeric) = 18.68245957432221 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 3.8032611976674440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.259999999999953 " " y[1] (analytic) = 18.701151378240766 " " y[1] (numeric) = 18.70115137824084 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 3.989432829339990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = -183251937962678. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.2699999999999525 " " y[1] (analytic) = 18.719861883312337 " " y[1] (numeric) = 18.719861883312408 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 3.7956622767260240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 898356862.9585881 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.279999999999952 " " y[1] (analytic) = 18.738591108247345 " " y[1] (numeric) = 18.73859110824742 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 3.98146193723038400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.289999999999952 " " y[1] (analytic) = 18.757339071775025 " " y[1] (numeric) = 18.7573390717751 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 3.9774824653607110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 4.299999999999952 " " y[1] (analytic) = 18.776105792643342 " " y[1] (numeric) = 18.776105792643417 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 3.97350697097383470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.309999999999952 " " y[1] (analytic) = 18.794891289619013 " " y[1] (numeric) = 18.79489128961909 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.15856094771779760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647259 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.319999999999951 " " y[1] (analytic) = 18.813695581487544 " " y[1] (numeric) = 18.81369558148762 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.1544044653576330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.329999999999951 " " y[1] (analytic) = 18.83251868705322 " " y[1] (numeric) = 18.8325186870533 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3388999618296570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 784150157.2553886 " " Order of pole (six term test) = 45812984490655.34 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.339999999999951 " " y[1] (analytic) = 18.851360625139154 " " y[1] (numeric) = 18.851360625139236 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3345632305948390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.349999999999950 " " y[1] (analytic) = 18.870221414587284 " " y[1] (numeric) = 18.870221414587366 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3302308339236130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.359999999999950 " " y[1] (analytic) = 18.889101074258402 " " y[1] (numeric) = 18.889101074258484 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3259027674835820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.36999999999995 " " y[1] (analytic) = 18.907999623032172 " " y[1] (numeric) = 18.90799962303225 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.13368428664464800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994432 " " Order of pole (six term test) = -11.828125 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.37999999999995 " " y[1] (analytic) = 18.926917079807133 " " y[1] (numeric) = 18.926917079807215 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3172596079891623000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.38999999999995 " " y[1] (analytic) = 18.945853463500754 " " y[1] (numeric) = 18.945853463500836 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3129445062916140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 784150157.2553854 " " Order of pole (six term test) = 91625968981321.81 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.39999999999995 " " y[1] (analytic) = 18.964808793049418 " " y[1] (numeric) = 18.9648087930495 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3086337175389310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.4099999999999495 " " y[1] (analytic) = 18.983783087408455 " " y[1] (numeric) = 18.983783087408536 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3043272374203250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.419999999999950 " " y[1] (analytic) = 19.00277636555216 " " y[1] (numeric) = 19.002776365552243 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.3000250616293150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.429999999999949 " " y[1] (analytic) = 19.02178864647382 " " y[1] (numeric) = 19.0217886464739 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.29572718586372400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 839831343.2893829 " " Order of pole (six term test) = -129354309150129.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.439999999999949 " " y[1] (analytic) = 19.040819949185707 " " y[1] (numeric) = 19.04081994918579 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.2914336058256780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994478 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.449999999999949 " " y[1] (analytic) = 19.05987029271913 " " y[1] (numeric) = 19.05987029271921 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.28714431722159560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.4599999999999485 " " y[1] (analytic) = 19.078939696124433 " " y[1] (numeric) = 19.078939696124515 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.2828593157621870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 665373472.3965409 " " Order of pole (six term test) = -76965813944331.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.469999999999948 " " y[1] (analytic) = 19.098028178471026 " " y[1] (numeric) = 19.098028178471104 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.0925534407640840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.479999999999948 " " y[1] (analytic) = 19.117135758847382 " " y[1] (numeric) = 19.117135758847464 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.274302157141670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.489999999999948 " " y[1] (analytic) = 19.1362624563611 " " y[1] (numeric) = 19.136262456361177 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.08437651353542650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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) = 19.155408290138862 " " y[1] (numeric) = 19.15540829013894 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.08029417852958900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 656067091.375992 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.509999999999947 " " y[1] (analytic) = 19.17457327932651 " " y[1] (numeric) = 19.17457327932659 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.26149846581000900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.519999999999947 " " y[1] (analytic) = 19.19375744308904 " " y[1] (numeric) = 19.19375744308912 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.07214174532321340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 429496729.60000235 " " Order of pole (six term test) = -164926744166410.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.529999999999947 " " y[1] (analytic) = 19.21296080061061 " " y[1] (numeric) = 19.212960800610688 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.06807163897024260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294634 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.539999999999947 " " y[1] (analytic) = 19.232183371094578 " " y[1] (numeric) = 19.23218337109466 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.24873312799330660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.5499999999999465 " " y[1] (analytic) = 19.251425173763522 " " y[1] (numeric) = 19.251425173763604 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.24448651852393200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.559999999999946 " " y[1] (analytic) = 19.270686227859247 " " y[1] (numeric) = 19.270686227859326 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.0558857120831066000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.569999999999946 " " y[1] (analytic) = 19.289966552642806 " " y[1] (numeric) = 19.289966552642884 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.05183185363806760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.579999999999946 " " y[1] (analytic) = 19.309266167394522 " " y[1] (numeric) = 19.3092661673946 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.04778204702521960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994437 " " Order of pole (six term test) = -11.802083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.589999999999946 " " y[1] (analytic) = 19.328585091414016 " " y[1] (numeric) = 19.328585091414094 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.04373628819475640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 803514805.451543 " " Order of pole (six term test) = -27487790694411. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.5999999999999455 " " y[1] (analytic) = 19.34792334402021 " " y[1] (numeric) = 19.34792334402029 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.2233170536964150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.609999999999945 " " y[1] (analytic) = 19.36728094455136 " " y[1] (numeric) = 19.367280944551442 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.21909584759753540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.619999999999945 " " y[1] (analytic) = 19.386657912365074 " " y[1] (numeric) = 19.386657912365152 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 4.03162325796029560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1176225235.883079 " " Order of pole (six term test) = -549755813888007. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.629999999999945 " " y[1] (analytic) = 19.40605426683831 " " y[1] (numeric) = 19.406054266838392 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.2106660884713860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 4.639999999999945 " " y[1] (analytic) = 19.42547002736743 " " y[1] (numeric) = 19.425470027367517 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 4.38934698471063300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294596 " " Order of pole (six term test) = -274877906944011.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.649999999999944 " " y[1] (analytic) = 19.4449052133682 " " y[1] (numeric) = 19.444905213368287 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 4.384959831668040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.659999999999944 " " y[1] (analytic) = 19.4643598442758 " " y[1] (numeric) = 19.46435984427589 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.5631011079017130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.129456 " " Order of pole (six term test) = -1374389534720006.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.669999999999944 " " y[1] (analytic) = 19.483833939544876 " " y[1] (numeric) = 19.483833939544958 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 4.1938570645773143000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.679999999999944 " " y[1] (analytic) = 19.503327518649506 " " y[1] (numeric) = 19.50332751864959 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 4.3718246647747494000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.6899999999999435 " " y[1] (analytic) = 19.52284060108328 " " y[1] (numeric) = 19.522840601083367 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 4.3674550252938520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 4.699999999999943 " " y[1] (analytic) = 19.542373206359287 " " y[1] (numeric) = 19.542373206359372 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 4.36308975326834300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1176225235.8830853 " " Order of pole (six term test) = -274877906944012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.709999999999943 " " y[1] (analytic) = 19.56192535401012 " " y[1] (numeric) = 19.56192535401021 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.5403425461801590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.719999999999943 " " y[1] (analytic) = 19.581497063587946 " " y[1] (numeric) = 19.581497063588035 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.5358044730487174000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 679093956.5647271 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.729999999999943 " " y[1] (analytic) = 19.601088354664466 " " y[1] (numeric) = 19.601088354664554 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.5312709357221260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.7399999999999425 " " y[1] (analytic) = 19.62069924683097 " " y[1] (numeric) = 19.620699246831062 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.7078116068535236000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.749999999999942 " " y[1] (analytic) = 19.640329759698357 " " y[1] (numeric) = 19.64032975969845 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.7031061483680340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.759999999999942 " " y[1] (analytic) = 19.659979912897143 " " y[1] (numeric) = 19.659979912897235 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6984053929890857000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.769999999999942 " " y[1] (analytic) = 19.679649726077482 " " y[1] (numeric) = 19.67964972607757 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.5131820538614620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 579133272.0494639 " " Order of pole (six term test) = -62472251578193.77 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.779999999999942 " " y[1] (analytic) = 19.69933921890918 " " y[1] (numeric) = 19.699339218909273 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6890179727524840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.789999999999941 " " y[1] (analytic) = 19.719048411081744 " " y[1] (numeric) = 19.719048411081836 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.684331298507410400000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647259 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.799999999999941 " " y[1] (analytic) = 19.73877732230436 " " y[1] (numeric) = 19.738777322304454 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6796493085940250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.809999999999941 " " y[1] (analytic) = 19.758525972305943 " " y[1] (numeric) = 19.75852597230604 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.8547786136507370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 4.819999999999940 " " y[1] (analytic) = 19.77829438083515 " " y[1] (numeric) = 19.77829438083524 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.670299363039040500000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994426 " " Order of pole (six term test) = 137438953471987. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.829999999999940 " " y[1] (analytic) = 19.798082567660376 " " y[1] (numeric) = 19.798082567660472 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.8450787595108610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637743 " " Order of pole (six term test) = -91625968981345.33 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.83999999999994 " " y[1] (analytic) = 19.81789055256983 " " y[1] (numeric) = 19.81789055256992 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6609680986877350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.84999999999994 " " y[1] (analytic) = 19.837718355371482 " " y[1] (numeric) = 19.837718355371575 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6563094602964630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 876706528.0950983 " " Order of pole (six term test) = -183251937962678.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.85999999999994 " " y[1] (analytic) = 19.857565995893143 " " y[1] (numeric) = 19.857565995893236 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6516554782150393000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -366503875925343.3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.86999999999994 " " y[1] (analytic) = 19.87743349398246 " " y[1] (numeric) = 19.877433493982547 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.468275142105270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.8799999999999395 " " y[1] (analytic) = 19.897320869506917 " " y[1] (numeric) = 19.89732086950701 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6423614643704586000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.889999999999940 " " y[1] (analytic) = 19.91722814235391 " " y[1] (numeric) = 19.917228142354 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.4593475224166220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.899999999999939 " " y[1] (analytic) = 19.937155332430702 " " y[1] (numeric) = 19.93715533243079 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.45489040382492760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -183251937962678. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.909999999999939 " " y[1] (analytic) = 19.95710245966449 " " y[1] (numeric) = 19.95710245966458 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.4504377401240080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1176225235.8830845 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.919999999999939 " " y[1] (analytic) = 19.9770695440024 " " y[1] (numeric) = 19.97706954400249 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.44598952686120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.929999999999938 " " y[1] (analytic) = 19.997056605411515 " " y[1] (numeric) = 19.997056605411608 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6192075899718216000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.129456 " " Order of pole (six term test) = -1374389534720006.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.939999999999938 " " y[1] (analytic) = 20.017063663878908 " " y[1] (numeric) = 20.017063663878996 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 4.43710643386150850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.949999999999938 " " y[1] (analytic) = 20.037090739411628 " " y[1] (numeric) = 20.03709073941172 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6099784070511930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 4.959999999999938 " " y[1] (analytic) = 20.05713785203676 " " y[1] (numeric) = 20.057137852036853 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6053707328652070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 4.969999999999938 " " y[1] (analytic) = 20.077205021801415 " " y[1] (numeric) = 20.077205021801507 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.6007676640503387000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 4.979999999999937 " " y[1] (analytic) = 20.09729226877276 " " y[1] (numeric) = 20.097292268772858 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.7729449343113456000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 4.989999999999937 " " y[1] (analytic) = 20.11739961303806 " " y[1] (numeric) = 20.117399613038152 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 4.5915753241262750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 554477893.6637847 " " Order of pole (six term test) = -91625968981344.44 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.999999999999937 " " y[1] (analytic) = 20.13752707470464 " " y[1] (numeric) = 20.137527074704735 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.7634085839718454000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 743910157.3518704 " " Order of pole (six term test) = -128276356573878.05 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.009999999999937 " " y[1] (analytic) = 20.157674673899972 " " y[1] (numeric) = 20.157674673900072 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.9348937620872946000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.0199999999999365 " " y[1] (analytic) = 20.177842430771666 " " y[1] (numeric) = 20.17784243077176 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.7538912872730327000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 5.029999999999936 " " y[1] (analytic) = 20.198030365487462 " " y[1] (numeric) = 20.198030365487565 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.1009279034088640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.039999999999936 " " y[1] (analytic) = 20.218238498235316 " " y[1] (numeric) = 20.218238498235415 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.9201112656325857000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 876706528.0951008 " " Order of pole (six term test) = -160345445717345.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.049999999999936 " " y[1] (analytic) = 20.238466849223347 " " y[1] (numeric) = 20.23846684922345 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0907362426600140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.059999999999936 " " y[1] (analytic) = 20.258715438679914 " " y[1] (numeric) = 20.258715438680017 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0856480509372330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.0699999999999354 " " y[1] (analytic) = 20.278984286853614 " " y[1] (numeric) = 20.278984286853714 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.9053730502124787000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.079999999999935 " " y[1] (analytic) = 20.299273414013285 " " y[1] (numeric) = 20.299273414013385 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.9004701290314334000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.089999999999935 " " y[1] (analytic) = 20.319582840448064 " " y[1] (numeric) = 20.319582840448163 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.8955721083209260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.099999999999935 " " y[1] (analytic) = 20.339912586467374 " " y[1] (numeric) = 20.339912586467474 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.8906789831829340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000009 " " "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 = 960383883.4994373 " " Order of pole (six term test) = -274877906944009.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.109999999999935 " " y[1] (analytic) = 20.360262672400964 " " y[1] (numeric) = 20.360262672401067 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0602832754644890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.119999999999934 " " y[1] (analytic) = 20.380633118598933 " " y[1] (numeric) = 20.38063311859903 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.7065892786262850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.129999999999934 " " y[1] (analytic) = 20.401023945431707 " " y[1] (numeric) = 20.40102394543181 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0501728227364400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.139999999999934 " " y[1] (analytic) = 20.42143517329014 " " y[1] (numeric) = 20.421435173290234 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 4.6971855069752730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.149999999999934 " " y[1] (analytic) = 20.441866822585432 " " y[1] (numeric) = 20.441866822585535 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0400825707064130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 5.1599999999999335 " " y[1] (analytic) = 20.46231891374926 " " y[1] (numeric) = 20.46231891374936 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.8614227657048710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.169999999999933 " " y[1] (analytic) = 20.482791467233707 " " y[1] (numeric) = 20.482791467233806 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.8565637728405150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.179999999999933 " " y[1] (analytic) = 20.503284503511324 " " y[1] (numeric) = 20.503284503511427 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0249849807024900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 501544125.7716377 " " Order of pole (six term test) = -124944503156374.95 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.189999999999933 " " y[1] (analytic) = 20.52379804307516 " " y[1] (numeric) = 20.52379804307526 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 4.8468603519501970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.199999999999933 " " y[1] (analytic) = 20.544332106438738 " " y[1] (numeric) = 20.544332106438844 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 5.1878741938080180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 5.2099999999999325 " " y[1] (analytic) = 20.56488671413614 " " y[1] (numeric) = 20.564886714136247 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 5.1826889126868770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.219999999999932 " " y[1] (analytic) = 20.585461886721976 " " y[1] (numeric) = 20.58546188672208 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 5.0049251871132430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.229999999999932 " " y[1] (analytic) = 20.606057644771404 " " y[1] (numeric) = 20.606057644771514 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 5.3447450231102810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 637897697.2949367 " " Order of pole (six term test) = -64677154575070.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.239999999999932 " " y[1] (analytic) = 20.626674008880205 " " y[1] (numeric) = 20.62667400888031 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 5.1671641447443030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.249999999999932 " " y[1] (analytic) = 20.647310999664725 " " y[1] (numeric) = 20.647310999664835 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 5.3340662154313420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 898356862.9585881 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.259999999999931 " " y[1] (analytic) = 20.667968637761966 " " y[1] (numeric) = 20.66796863776208 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 5.5006294868234630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647259 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.269999999999931 " " y[1] (analytic) = 20.688646943829575 " " y[1] (numeric) = 20.688646943829685 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 5.3234087440243760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1920767766.998895 " " Order of pole (six term test) = -824633720832015. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.279999999999931 " " y[1] (analytic) = 20.70934593854584 " " y[1] (numeric) = 20.709345938545958 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.6611904474588550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.289999999999930 " " y[1] (analytic) = 20.73006564260978 " " y[1] (numeric) = 20.730065642609894 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 5.4841523264614030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 513346778.83347976 " " Order of pole (six term test) = -117804817261725.28 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.2999999999999305 " " y[1] (analytic) = 20.750806076741082 " " y[1] (numeric) = 20.7508060767412 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.6498793814003500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.30999999999993 " " y[1] (analytic) = 20.771567261680197 " " y[1] (numeric) = 20.77156726168031 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 5.4731949828045860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.31999999999993 " " y[1] (analytic) = 20.792349218188303 " " y[1] (numeric) = 20.792349218188416 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 5.4677245235073000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 831716840.4956726 " " Order of pole (six term test) = 68719476735987.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.32999999999993 " " y[1] (analytic) = 20.813151967047354 " " y[1] (numeric) = 20.81315196704747 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.6329551423079650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.33999999999993 " " y[1] (analytic) = 20.833975529060115 " " y[1] (numeric) = 20.83397552906023 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 5.4568000026226770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.3499999999999295 " " y[1] (analytic) = 20.854819925050133 " " y[1] (numeric) = 20.85481992505025 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.621700490426781000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913502 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.359999999999930 " " y[1] (analytic) = 20.875685175861815 " " y[1] (numeric) = 20.875685175861936 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 5.7862658907544260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.369999999999929 " " y[1] (analytic) = 20.896571302360417 " " y[1] (numeric) = 20.896571302360535 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.6104683253550550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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] = 5.379999999999929 " " y[1] (analytic) = 20.91747832543206 " " y[1] (numeric) = 20.917478325432178 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.6048606613290180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.389999999999929 " " y[1] (analytic) = 20.938406265983772 " " y[1] (numeric) = 20.93840626598389 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.599258602164110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.399999999999928 " " y[1] (analytic) = 20.959355144943498 " " y[1] (numeric) = 20.959355144943615 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 5.5936621422582690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.409999999999928 " " y[1] (analytic) = 20.98032498326011 " " y[1] (numeric) = 20.980324983260232 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 5.7574067692276150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.419999999999928 " " y[1] (analytic) = 21.00131580190346 " " y[1] (numeric) = 21.00131580190358 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 5.7516522402024450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.429999999999928 " " y[1] (analytic) = 21.022327621864356 " " y[1] (numeric) = 21.02232762186448 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 5.9149006235014630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994413 " " Order of pole (six term test) = 274877906943986.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.439999999999928 " " y[1] (analytic) = 21.04336046415463 " " y[1] (numeric) = 21.043360464154752 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 5.7401604313614830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 5.449999999999927 " " y[1] (analytic) = 21.064414349807116 " " y[1] (numeric) = 21.064414349807244 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 6.0717421482923480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.459999999999927 " " y[1] (analytic) = 21.085489299875714 " " y[1] (numeric) = 21.08548929987584 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 5.8971825120866640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.469999999999927 " " y[1] (analytic) = 21.10658533543537 " " y[1] (numeric) = 21.10658533543549 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 5.722965754977980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.479999999999927 " " y[1] (analytic) = 21.127702477582112 " " y[1] (numeric) = 21.127702477582236 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 5.8853999335685350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994429 " " Order of pole (six term test) = -274877906944010.3 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.4899999999999265 " " y[1] (analytic) = 21.1488407474331 " " y[1] (numeric) = 21.148840747433223 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 5.8795174753542780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 656067091.375992 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.499999999999926 " " y[1] (analytic) = 21.17000016612659 " " y[1] (numeric) = 21.17000016612672 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 6.0414592079910730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.509999999999926 " " y[1] (analytic) = 21.191180754822017 " " y[1] (numeric) = 21.191180754822145 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 6.0354207685060270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.519999999999926 " " y[1] (analytic) = 21.212382534699966 " " y[1] (numeric) = 21.21238253470009 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 5.8619053543188570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 831716840.4956762 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.529999999999926 " " y[1] (analytic) = 21.233605526962208 " " y[1] (numeric) = 21.23360552696234 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.1906776005942180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.564728 " " Order of pole (six term test) = -137438953472011.62 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.539999999999925 " " y[1] (analytic) = 21.254849752831756 " " y[1] (numeric) = 21.254849752831884 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 6.0173416384549320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.549999999999925 " " y[1] (analytic) = 21.276115233552822 " " y[1] (numeric) = 21.276115233552954 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.178308618498120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.559999999999925 " " y[1] (analytic) = 21.297401990390895 " " y[1] (numeric) = 21.29740199039103 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.3389478141667530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.569999999999925 " " y[1] (analytic) = 21.31871004463274 " " y[1] (numeric) = 21.31871004463287 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 5.9993166645191990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.579999999999925 " " y[1] (analytic) = 21.3400394175864 " " y[1] (numeric) = 21.34003941758653 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.1598014672498590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.589999999999924 " " y[1] (analytic) = 21.361390130581256 " " y[1] (numeric) = 21.361390130581388 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.1536447446569660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994462 " " Order of pole (six term test) = -91625968981345.33 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.599999999999924 " " y[1] (analytic) = 21.382762204968024 " " y[1] (numeric) = 21.382762204968156 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.147494175709330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.609999999999924 " " y[1] (analytic) = 21.40415566211878 " " y[1] (numeric) = 21.40415566211891 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.1413497542563830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.619999999999924 " " y[1] (analytic) = 21.425570523426984 " " y[1] (numeric) = 21.425570523427112 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 5.9693949478252230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913502 " " Order of pole (six term test) = -549755813888012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.6299999999999235 " " y[1] (analytic) = 21.44700681030749 " " y[1] (numeric) = 21.447006810307624 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.294730121945790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.639999999999923 " " y[1] (analytic) = 21.468464544196596 " " y[1] (numeric) = 21.46846454419673 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2884385381400440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637743 " " Order of pole (six term test) = -91625968981345.33 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.649999999999923 " " y[1] (analytic) = 21.48994374655204 " " y[1] (numeric) = 21.48994374655217 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 6.1168334205951160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.659999999999923 " " y[1] (analytic) = 21.511444438853015 " " y[1] (numeric) = 21.51144443885315 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2758742295604470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.669999999999923 " " y[1] (analytic) = 21.532966642600226 " " y[1] (numeric) = 21.53296664260036 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2696014922222830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 784150157.2553878 " " Order of pole (six term test) = -91625968981344.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.6799999999999224 " " y[1] (analytic) = 21.55451037931587 " " y[1] (numeric) = 21.554510379316007 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2633350244861350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1239850262.2531164 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.689999999999922 " " y[1] (analytic) = 21.576075670543695 " " y[1] (numeric) = 21.57607567054383 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2570748200855330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.699999999999922 " " y[1] (analytic) = 21.597662537848983 " " y[1] (numeric) = 21.59766253784912 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.4153161588855430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.709999999999922 " " y[1] (analytic) = 21.61927100281861 " " y[1] (numeric) = 21.61927100281875 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.4089040493157860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1239850262.2531164 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.719999999999922 " " y[1] (analytic) = 21.640901087061046 " " y[1] (numeric) = 21.64090108706118 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2383317243262350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.729999999999921 " " y[1] (analytic) = 21.662552812206368 " " y[1] (numeric) = 21.662552812206503 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.232096510728310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.739999999999921 " " y[1] (analytic) = 21.68422619990631 " " y[1] (numeric) = 21.684226199906444 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 6.2258675292274130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.749999999999921 " " y[1] (analytic) = 21.705921271834253 " " y[1] (numeric) = 21.70592127183439 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3833196360575810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 679093956.5647249 " " Order of pole (six term test) = -137438953472011.37 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.759999999999920 " " y[1] (analytic) = 21.727638049685282 " " y[1] (numeric) = 21.72763804968542 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3769395070177210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.7699999999999205 " " y[1] (analytic) = 21.74937655517617 " " y[1] (numeric) = 21.74937655517631 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3705657549179000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647268 " " Order of pole (six term test) = -11.416666666666666 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.77999999999992 " " y[1] (analytic) = 21.771136810045423 " " y[1] (numeric) = 21.771136810045565 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.5273829470608870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.78999999999992 " " y[1] (analytic) = 21.792918836053307 " " y[1] (numeric) = 21.792918836053445 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3578373560497310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.79999999999992 " " y[1] (analytic) = 21.81472265498184 " " y[1] (numeric) = 21.814722654981978 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3514826965529850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994462 " " Order of pole (six term test) = -183251937962678.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.80999999999992 " " y[1] (analytic) = 21.836548288634837 " " y[1] (numeric) = 21.836548288634983 " " absolute error = 1.45661260830820540000000000000E-13 " " relative error = 6.6705258956440550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.8199999999999195 " " y[1] (analytic) = 21.858395758837958 " " y[1] (numeric) = 21.858395758838096 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3387924256608610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.829999999999920 " " y[1] (analytic) = 21.88026508743865 " " y[1] (numeric) = 21.88026508743879 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3324568015752110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 5.839999999999919 " " y[1] (analytic) = 21.902156296306256 " " y[1] (numeric) = 21.902156296306394 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3261275099468920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 715827882.6666652 " " Order of pole (six term test) = -30541989660456.61 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.849999999999919 " " y[1] (analytic) = 21.92406940733198 " " y[1] (numeric) = 21.92406940733212 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3198045444466090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.129456 " " Order of pole (six term test) = -1374389534720006.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.859999999999919 " " y[1] (analytic) = 21.94600444242894 " " y[1] (numeric) = 21.94600444242908 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3134878987513980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 392075078.6276904 " " Order of pole (six term test) = -91625968981344.83 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.869999999999918 " " y[1] (analytic) = 21.967961423532174 " " y[1] (numeric) = 21.967961423532312 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.3071775665446110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.879999999999918 " " y[1] (analytic) = 21.989940372598657 " " y[1] (numeric) = 21.9899403725988 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.4624344015547860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.12946 " " Order of pole (six term test) = -274877906944012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.889999999999918 " " y[1] (analytic) = 22.01194131160735 " " y[1] (numeric) = 22.01194131160749 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2945758173612880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 5.899999999999918 " " y[1] (analytic) = 22.033964262559188 " " y[1] (numeric) = 22.033964262559326 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2882843877830020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994442 " " Order of pole (six term test) = -274877906944011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.9099999999999175 " " y[1] (analytic) = 22.05600924747712 " " y[1] (numeric) = 22.056009247477263 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.4430761502457720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 5.919999999999917 " " y[1] (analytic) = 22.078076288406145 " " y[1] (numeric) = 22.078076288406283 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2757203871960230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.4994462 " " Order of pole (six term test) = -183251937962678.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.929999999999917 " " y[1] (analytic) = 22.10016540741329 " " y[1] (numeric) = 22.10016540741343 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.4302028755111070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.939999999999917 " " y[1] (analytic) = 22.12227662658769 " " y[1] (numeric) = 22.12227662658783 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2631814894989610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.949999999999917 " " y[1] (analytic) = 22.14440996804056 " " y[1] (numeric) = 22.144409968040698 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2569214385566040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647271 " " Order of pole (six term test) = -103079215104011.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.9599999999999165 " " y[1] (analytic) = 22.16656545390524 " " y[1] (numeric) = 22.16656545390538 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.410941173883290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.129456 " " Order of pole (six term test) = -1374389534720006.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.969999999999916 " " y[1] (analytic) = 22.188743106337228 " " y[1] (numeric) = 22.188743106337366 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2444201011839750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 5.979999999999916 " " y[1] (analytic) = 22.210942947514162 " " y[1] (numeric) = 22.210942947514305 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.3981321048742210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = 274877906943986. " " " " "TOP MAIN SOLVE Loop" x[1] = 5.989999999999916 " " y[1] (analytic) = 22.233164999635903 " " y[1] (numeric) = 22.233164999636042 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 6.2319437415000770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1176225235.8830776 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.999999999999916 " " y[1] (analytic) = 22.25540928492449 " " y[1] (numeric) = 22.25540928492463 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.3853486284021040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1176225235.8830853 " " Order of pole (six term test) = -274877906944012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.009999999999915 " " y[1] (analytic) = 22.277675825624215 " " y[1] (numeric) = 22.27767582562436 " " absolute error = 1.45661260830820540000000000000E-13 " " relative error = 6.538440633168660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.019999999999915 " " y[1] (analytic) = 22.29996464400163 " " y[1] (numeric) = 22.299964644001772 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.3725906933330130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.029999999999915 " " y[1] (analytic) = 22.322275762345544 " " y[1] (numeric) = 22.322275762345686 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.3662212878731940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994437 " " Order of pole (six term test) = -11.802083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.039999999999915 " " y[1] (analytic) = 22.34460920296708 " " y[1] (numeric) = 22.344609202967224 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 6.3598582486351930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.049999999999915 " " y[1] (analytic) = 22.36696498819968 " " y[1] (numeric) = 22.366964988199825 " " absolute error = 1.45661260830820540000000000000E-13 " " relative error = 6.512339108487370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.059999999999914 " " y[1] (analytic) = 22.38934314039913 " " y[1] (numeric) = 22.38934314039928 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 6.6645088055477910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.069999999999914 " " y[1] (analytic) = 22.41174368194359 " " y[1] (numeric) = 22.41174368194374 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 6.6578476278861720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.079999999999914 " " y[1] (analytic) = 22.4341666352336 " " y[1] (numeric) = 22.434166635233748 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 6.6511931080727360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647249 " " Order of pole (six term test) = -137438953472011.37 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.089999999999914 " " y[1] (analytic) = 22.456612022692116 " " y[1] (numeric) = 22.456612022692262 " " absolute error = 1.45661260830820540000000000000E-13 " " relative error = 6.4863417813707480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.0999999999999135 " " y[1] (analytic) = 22.479079866764522 " " y[1] (numeric) = 22.47907986676467 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 6.6379040153789810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.109999999999913 " " y[1] (analytic) = 22.501570189918667 " " y[1] (numeric) = 22.50157018991882 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.7891567965717030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994513 " " Order of pole (six term test) = -274877906944012. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.119999999999913 " " y[1] (analytic) = 22.52408301464488 " " y[1] (numeric) = 22.524083014645033 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.7823710332222860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1796713725.9171762 " " Order of pole (six term test) = -549755813888013.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.129999999999913 " " y[1] (analytic) = 22.546618363455988 " " y[1] (numeric) = 22.546618363456137 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 6.6180201440527350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.139999999999913 " " y[1] (analytic) = 22.569176258887335 " " y[1] (numeric) = 22.569176258887484 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 6.6114054318160260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.149999999999912 " " y[1] (analytic) = 22.591756723496818 " " y[1] (numeric) = 22.59175672349697 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.7620544102944760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.159999999999912 " " y[1] (analytic) = 22.61435977986491 " " y[1] (numeric) = 22.614359779865065 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 6.9123956366168620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.169999999999912 " " y[1] (analytic) = 22.63698545059467 " " y[1] (numeric) = 22.63698545059482 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.7485438165711410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.179999999999912 " " y[1] (analytic) = 22.659633758311763 " " y[1] (numeric) = 22.659633758311916 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.7417986459020020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 784150157.2553878 " " Order of pole (six term test) = -91625968981344.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.189999999999912 " " y[1] (analytic) = 22.682304725664505 " " y[1] (numeric) = 22.682304725664657 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.7350602170320710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.199999999999911 " " y[1] (analytic) = 22.704998375323857 " " y[1] (numeric) = 22.704998375324013 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 6.884801279576940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.209999999999911 " " y[1] (analytic) = 22.727714729983482 " " y[1] (numeric) = 22.72771472998364 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 6.8779199195508220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 6.219999999999911 " " y[1] (analytic) = 22.75045381235973 " " y[1] (numeric) = 22.750453812359886 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 6.8710454374451980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 960383883.4994457 " " Order of pole (six term test) = -11.416666666666666 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.229999999999910 " " y[1] (analytic) = 22.773215645191684 " " y[1] (numeric) = 22.773215645191843 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 7.0201818678943480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.2399999999999105 " " y[1] (analytic) = 22.796000251241185 " " y[1] (numeric) = 22.79600025124134 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 6.8573170795043680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.24999999999991 " " y[1] (analytic) = 22.818807653292833 " " y[1] (numeric) = 22.818807653292993 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 7.0061555351667320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 652452369.1494116 " " Order of pole (six term test) = -105722271901550.22 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.25999999999991 " " y[1] (analytic) = 22.841637874154035 " " y[1] (numeric) = 22.8416378741542 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.1546896122428640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 846978972.9646552 " " Order of pole (six term test) = -183251937962679. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.26999999999991 " " y[1] (analytic) = 22.864490936655024 " " y[1] (numeric) = 22.86449093665518 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 6.8367759553579150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 730742565.3884836 " " Order of pole (six term test) = -130205324341907.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.27999999999991 " " y[1] (analytic) = 22.887366863648843 " " y[1] (numeric) = 22.887366863649003 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 6.9851685647570720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.289999999999910 " " y[1] (analytic) = 22.910265678011445 " " y[1] (numeric) = 22.910265678011598 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 6.6680452481632380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 6.299999999999910 " " y[1] (analytic) = 22.93318740264162 " " y[1] (numeric) = 22.93318740264178 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 6.9712121886557830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -274877906944010.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.309999999999909 " " y[1] (analytic) = 22.956132060461115 " " y[1] (numeric) = 22.95613206046128 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.1190054489319030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994437 " " Order of pole (six term test) = -11.802083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.319999999999909 " " y[1] (analytic) = 22.979099674414588 " " y[1] (numeric) = 22.979099674414748 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 6.9572836974125450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994413 " " Order of pole (six term test) = 274877906943986.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.329999999999909 " " y[1] (analytic) = 23.002090267469644 " " y[1] (numeric) = 23.002090267469807 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.1047816665576750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.339999999999908 " " y[1] (analytic) = 23.02510386261689 " " y[1] (numeric) = 23.02510386261705 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 6.9433830353133730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.12946 " " Order of pole (six term test) = -274877906944012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.349999999999908 " " y[1] (analytic) = 23.04814048286991 " " y[1] (numeric) = 23.048140482870075 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0905863033195850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 628718834.6216916 " " Order of pole (six term test) = -157073089682295.87 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.359999999999908 " " y[1] (analytic) = 23.07120015126534 " " y[1] (numeric) = 23.071200151265504 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0834992611279480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 784150157.2553861 " " Order of pole (six term test) = -30541989660455.613 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.369999999999908 " " y[1] (analytic) = 23.094282890862846 " " y[1] (numeric) = 23.094282890863006 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 6.9225841002092880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.3799999999999075 " " y[1] (analytic) = 23.11738872474516 " " y[1] (numeric) = 23.117388724745325 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0693464201642690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.389999999999907 " " y[1] (analytic) = 23.140517676018135 " " y[1] (numeric) = 23.140517676018295 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 6.9087527679515710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.399999999999907 " " y[1] (analytic) = 23.163669767810703 " " y[1] (numeric) = 23.16366976781087 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.208596244782560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.409999999999907 " " y[1] (analytic) = 23.186845023274973 " " y[1] (numeric) = 23.18684502327514 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.2013912516347680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.419999999999907 " " y[1] (analytic) = 23.210043465586203 " " y[1] (numeric) = 23.210043465586367 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0411255139239580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.4299999999999065 " " y[1] (analytic) = 23.23326511794283 " " y[1] (numeric) = 23.23326511794299 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0340879077995630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 759250124.994013 " " Order of pole (six term test) = -103079215104011.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.439999999999906 " " y[1] (analytic) = 23.256510003566508 " " y[1] (numeric) = 23.25651000356667 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0270573357636630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.449999999999906 " " y[1] (analytic) = 23.279778145702128 " " y[1] (numeric) = 23.279778145702295 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.1726432210201560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.459999999999906 " " y[1] (analytic) = 23.303069567617833 " " y[1] (numeric) = 23.303069567618003 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 7.3179310600091300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 876706528.0951008 " " Order of pole (six term test) = -160345445717345.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.469999999999906 " " y[1] (analytic) = 23.326384292605056 " " y[1] (numeric) = 23.32638429260522 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 7.0060077539163280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.479999999999905 " " y[1] (analytic) = 23.349722343978506 " " y[1] (numeric) = 23.349722343978673 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.151157535998890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 759250124.9940108 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.489999999999905 " " y[1] (analytic) = 23.373083745076254 " " y[1] (numeric) = 23.373083745076418 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 6.9920097410873270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.499999999999905 " " y[1] (analytic) = 23.39646851925969 " " y[1] (numeric) = 23.396468519259855 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 6.9850212261860670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.509999999999905 " " y[1] (analytic) = 23.419876689913593 " " y[1] (numeric) = 23.41987668991376 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.1297362114437170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.5199999999999045 " " y[1] (analytic) = 23.44330828044614 " " y[1] (numeric) = 23.443308280446306 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.1226100389123870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647271 " " Order of pole (six term test) = -68719476736012. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.529999999999904 " " y[1] (analytic) = 23.46676331428892 " " y[1] (numeric) = 23.46676331428909 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 7.2668844142893850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.539999999999904 " " y[1] (analytic) = 23.490241814896976 " " y[1] (numeric) = 23.49024181489714 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 6.9571369470186870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.549999999999904 " " y[1] (analytic) = 23.513743805748796 " " y[1] (numeric) = 23.513743805748963 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.1012742285131040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.559999999999904 " " y[1] (analytic) = 23.53726931034638 " " y[1] (numeric) = 23.537269310346552 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 7.2451164293499120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.5699999999999035 " " y[1] (analytic) = 23.560818352215247 " " y[1] (numeric) = 23.560818352215414 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.0870858731409000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.579999999999903 " " y[1] (analytic) = 23.58439095490442 " " y[1] (numeric) = 23.58439095490459 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.0800023296298110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.589999999999903 " " y[1] (analytic) = 23.607987141986516 " " y[1] (numeric) = 23.607987141986683 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.0729258661216410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 960383883.499453 " " Order of pole (six term test) = 824633720831996. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.599999999999903 " " y[1] (analytic) = 23.63160693705772 " " y[1] (numeric) = 23.63160693705789 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.0658564755399270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.609999999999903 " " y[1] (analytic) = 23.65525036373783 " " y[1] (numeric) = 23.655250363738002 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 7.208981260407090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.619999999999902 " " y[1] (analytic) = 23.678917445670283 " " y[1] (numeric) = 23.67891744567045 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 7.0517388848853630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.629999999999902 " " y[1] (analytic) = 23.702608206522143 " " y[1] (numeric) = 23.702608206522317 " " absolute error = 1.74082970261224550000000000000E-13 " " relative error = 7.3444647417883280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 759250124.9940141 " " Order of pole (six term test) = -103079215104012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.639999999999902 " " y[1] (analytic) = 23.726322669984196 " " y[1] (numeric) = 23.726322669984366 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 7.1873867246254410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 831716840.4956726 " " Order of pole (six term test) = 68719476735987.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.649999999999902 " " y[1] (analytic) = 23.750060859770887 " " y[1] (numeric) = 23.75006085977106 " " absolute error = 1.74082970261224550000000000000E-13 " " relative error = 7.3297904914465080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.6599999999999016 " " y[1] (analytic) = 23.77382279962042 " " y[1] (numeric) = 23.773822799620596 " " absolute error = 1.77635683940025050000000000000E-13 " " relative error = 7.4719024128867170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647271 " " Order of pole (six term test) = -137438953472011.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.669999999999901 " " y[1] (analytic) = 23.797608513294737 " " y[1] (numeric) = 23.79760851329491 " " absolute error = 1.74082970261224550000000000000E-13 " " relative error = 7.3151455602764290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.679999999999901 " " y[1] (analytic) = 23.821418024579547 " " y[1] (numeric) = 23.82141802457972 " " absolute error = 1.74082970261224550000000000000E-13 " " relative error = 7.3078340710700470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.689999999999901 " " y[1] (analytic) = 23.84525135728437 " " y[1] (numeric) = 23.845251357284543 " " absolute error = 1.74082970261224550000000000000E-13 " " relative error = 7.3005298896983440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.699999999999900 " " y[1] (analytic) = 23.86910853524253 " " y[1] (numeric) = 23.86910853524271 " " absolute error = 1.81188397618825550000000000000E-13 " " relative error = 7.5909159888104950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.7099999999999005 " " y[1] (analytic) = 23.892989582311216 " " y[1] (numeric) = 23.8929895823114 " " absolute error = 1.84741111297626050000000000000E-13 " " relative error = 7.7320215898974860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 28.96309375740099 " " Order of pole (six term test) = -274877906944011.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.7199999999999 " " y[1] (analytic) = 23.916894522371486 " " y[1] (numeric) = 23.916894522371663 " " absolute error = 1.77635683940025050000000000000E-13 " " relative error = 7.427205224067340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.7299999999999 " " y[1] (analytic) = 23.940823379328258 " " y[1] (numeric) = 23.940823379328442 " " absolute error = 1.84741111297626050000000000000E-13 " " relative error = 7.7165730004566620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.7399999999999 " " y[1] (analytic) = 23.964776177110416 " " y[1] (numeric) = 23.964776177110597 " " absolute error = 1.81188397618825550000000000000E-13 " " relative error = 7.5606129712942960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.7499999999999 " " y[1] (analytic) = 23.988752939670743 " " y[1] (numeric) = 23.988752939670924 " " absolute error = 1.81188397618825550000000000000E-13 " " relative error = 7.5530561373697000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.759999999999900 " " y[1] (analytic) = 24.012753690986003 " " y[1] (numeric) = 24.01275369098619 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.8414090861686140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.769999999999900 " " y[1] (analytic) = 24.03677845505696 " " y[1] (numeric) = 24.03677845505715 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.8335715964804130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.779999999999899 " " y[1] (analytic) = 24.06082725590838 " " y[1] (numeric) = 24.060827255908567 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.8257419403644610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.789999999999899 " " y[1] (analytic) = 24.084900117589054 " " y[1] (numeric) = 24.084900117589243 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.8179201099911020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.799999999999899 " " y[1] (analytic) = 24.108997064171852 " " y[1] (numeric) = 24.108997064172044 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 7.9574665899448940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1239850262.2531164 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.809999999999898 " " y[1] (analytic) = 24.13311811975373 " " y[1] (numeric) = 24.13311811975392 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 7.9495131007623310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.819999999999898 " " y[1] (analytic) = 24.157263308455736 " " y[1] (numeric) = 24.157263308455924 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.7945014951473550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.829999999999898 " " y[1] (analytic) = 24.181432654423062 " " y[1] (numeric) = 24.18143265442325 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.7867108896041960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1663433680.991357 " " Order of pole (six term test) = -274877906944015.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.839999999999898 " " y[1] (analytic) = 24.20562618182506 " " y[1] (numeric) = 24.20562618182525 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.7789280707725750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 6.8499999999998975 " " y[1] (analytic) = 24.229843914855255 " " y[1] (numeric) = 24.229843914855444 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.7711530308696740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 554477893.6637808 " " Order of pole (six term test) = 91625968981321.81 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.859999999999897 " " y[1] (analytic) = 24.25408587773138 " " y[1] (numeric) = 24.254085877731573 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 7.9098647387642350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.869999999999897 " " y[1] (analytic) = 24.278352094695414 " " y[1] (numeric) = 24.278352094695602 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 7.7556262567576380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994437 " " Order of pole (six term test) = -11.802083333333334 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.879999999999897 " " y[1] (analytic) = 24.30264259001356 " " y[1] (numeric) = 24.30264259001375 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 7.8940608184749680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.889999999999897 " " y[1] (analytic) = 24.326957387976318 " " y[1] (numeric) = 24.326957387976513 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 8.032210901582140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.899999999999896 " " y[1] (analytic) = 24.351296512898497 " " y[1] (numeric) = 24.351296512898692 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 8.0241827054476410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.909999999999896 " " y[1] (analytic) = 24.37565998911921 " " y[1] (numeric) = 24.375659989119413 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.3076593528963900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1920767766.9988935 " " Order of pole (six term test) = -824633720832013. " " " " "TOP MAIN SOLVE Loop" x[1] = 6.919999999999896 " " y[1] (analytic) = 24.400047841001957 " " y[1] (numeric) = 24.400047841002152 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 8.0081503777085930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 831716840.4956715 " " Order of pole (six term test) = -343597383680008.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.929999999999896 " " y[1] (analytic) = 24.424460092934567 " " y[1] (numeric) = 24.424460092934765 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 8.1456034342548380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 784150157.2553854 " " Order of pole (six term test) = 91625968981321.81 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.939999999999896 " " y[1] (analytic) = 24.44889676932931 " " y[1] (numeric) = 24.448896769329508 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 8.1374619022650390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.949999999999895 " " y[1] (analytic) = 24.473357894622858 " " y[1] (numeric) = 24.473357894623057 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 8.1293285077378210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1663433680.9913511 " " Order of pole (six term test) = 274877906943988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.959999999999895 " " y[1] (analytic) = 24.49784349327634 " " y[1] (numeric) = 24.49784349327654 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.2662247290137130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.969999999999895 " " y[1] (analytic) = 24.522353589775356 " " y[1] (numeric) = 24.52235358977556 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.2579626360197040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 6.979999999999895 " " y[1] (analytic) = 24.54688820863001 " " y[1] (numeric) = 24.54688820863021 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.2497088009890200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.9899999999998945 " " y[1] (analytic) = 24.571447374374916 " " y[1] (numeric) = 24.571447374375115 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 8.0968761417087380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 6.999999999999894 " " y[1] (analytic) = 24.596031111569236 " " y[1] (numeric) = 24.59603111156944 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 8.3776684309651020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999994 " " "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 = 1358187913.1294603 " " Order of pole (six term test) = 137438953471988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.009999999999894 " " y[1] (analytic) = 24.620639444796723 " " y[1] (numeric) = 24.62063944479693 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 8.3692949499724230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.019999999999894 " " y[1] (analytic) = 24.64527239866571 " " y[1] (numeric) = 24.645272398665913 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.2167758755465050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 429496729.60000235 " " Order of pole (six term test) = -164926744166410.8 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.029999999999894 " " y[1] (analytic) = 24.66992999780915 " " y[1] (numeric) = 24.66992999780935 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.2085632066897750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 100.33109986439896 " " Order of pole (six term test) = -137438953472010.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.0399999999998935 " " y[1] (analytic) = 24.69461226688464 " " y[1] (numeric) = 24.694612266884842 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 8.2003587463969370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.049999999999893 " " y[1] (analytic) = 24.719319230574452 " " y[1] (numeric) = 24.71931923057466 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 8.3358846353488550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.059999999999893 " " y[1] (analytic) = 24.744050913585557 " " y[1] (numeric) = 24.744050913585767 " " absolute error = 2.09610107049229550000000000000E-13 " " relative error = 8.4711314158404240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.069999999999893 " " y[1] (analytic) = 24.768807340649644 " " y[1] (numeric) = 24.76880734064985 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 8.3192295267384700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.079999999999893 " " y[1] (analytic) = 24.793588536523128 " " y[1] (numeric) = 24.793588536523337 " " absolute error = 2.09610107049229550000000000000E-13 " " relative error = 8.4542060839823770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 701365222.4760789 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.089999999999892 " " y[1] (analytic) = 24.81839452598722 " " y[1] (numeric) = 24.818394525987426 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 8.3026076950572840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 640255922.332961 " " Order of pole (six term test) = 91625968981321.81 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.099999999999892 " " y[1] (analytic) = 24.843225333847897 " " y[1] (numeric) = 24.84322533384811 " " absolute error = 2.13162820728030060000000000000E-13 " " relative error = 8.5803199006372280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 2037281869.6941855 " " Order of pole (six term test) = -687194767360010. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.109999999999892 " " y[1] (analytic) = 24.868080984935986 " " y[1] (numeric) = 24.8680809849362 " " absolute error = 2.13162820728030060000000000000E-13 " " relative error = 8.5717438694668450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.119999999999892 " " y[1] (analytic) = 24.89296150410713 " " y[1] (numeric) = 24.892961504107344 " " absolute error = 2.13162820728030060000000000000E-13 " " relative error = 8.5631764100410460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1176225235.883079 " " Order of pole (six term test) = -549755813888007. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.1299999999998915 " " y[1] (analytic) = 24.917866916241852 " " y[1] (numeric) = 24.91786691624207 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 8.6971944723555780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1796713725.9171667 " " Order of pole (six term test) = -274877906944010. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.139999999999891 " " y[1] (analytic) = 24.942797246245576 " " y[1] (numeric) = 24.942797246245785 " " absolute error = 2.09610107049229550000000000000E-13 " " relative error = 8.4036327192925550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.149999999999891 " " y[1] (analytic) = 24.96775251904861 " " y[1] (numeric) = 24.967752519048826 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 8.6798174662093470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.159999999999891 " " y[1] (analytic) = 24.99273275960625 " " y[1] (numeric) = 24.99273275960647 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.8132918558483120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.169999999999890 " " y[1] (analytic) = 25.017737992898734 " " y[1] (numeric) = 25.01773799289895 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 8.6624751793445550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.1799999999998905 " " y[1] (analytic) = 25.04276824393129 " " y[1] (numeric) = 25.042768243931512 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.7956828869751450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.18999999999989 " " y[1] (analytic) = 25.06782353773419 " " y[1] (numeric) = 25.067823537734405 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 8.645167542392029000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.19999999999989 " " y[1] (analytic) = 25.092903899362703 " " y[1] (numeric) = 25.092903899362923 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.7781091008452520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.20999999999989 " " y[1] (analytic) = 25.118009353897207 " " y[1] (numeric) = 25.11800935389743 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 8.9107762725514080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.21999999999989 " " y[1] (analytic) = 25.143139926443165 " " y[1] (numeric) = 25.143139926443386 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.7605704271634690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.229999999999890 " " y[1] (analytic) = 25.16829564213114 " " y[1] (numeric) = 25.168295642131362 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.7518142355617890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.239999999999890 " " y[1] (analytic) = 25.193476526116864 " " y[1] (numeric) = 25.193476526117077 " " absolute error = 2.13162820728030060000000000000E-13 " " relative error = 8.4610323830081340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.249999999999889 " " y[1] (analytic) = 25.2186826035812 " " y[1] (numeric) = 25.21868260358142 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.7343280990558840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647259 " " Order of pole (six term test) = 137438953471987.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.259999999999889 " " y[1] (analytic) = 25.243913899730245 " " y[1] (numeric) = 25.24391389973047 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 8.8663335904827070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 679093956.5647262 " " Order of pole (six term test) = 274877906943986.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.2699999999998886 " " y[1] (analytic) = 25.2691704397953 " " y[1] (numeric) = 25.26917043979552 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 8.7168768998740200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.279999999999888 " " y[1] (analytic) = 25.294452249032894 " " y[1] (numeric) = 25.294452249033117 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 8.8486186441530520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.289999999999888 " " y[1] (analytic) = 25.319759352724848 " " y[1] (numeric) = 25.31975935272507 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 8.839774448343820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.299999999999888 " " y[1] (analytic) = 25.345091776178265 " " y[1] (numeric) = 25.34509177617849 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 8.8309390923097720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994472 " " Order of pole (six term test) = -137438953472012.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.309999999999888 " " y[1] (analytic) = 25.370449544725563 " " y[1] (numeric) = 25.370449544725794 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 9.1021796328414460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.3199999999998875 " " y[1] (analytic) = 25.39583268372453 " " y[1] (numeric) = 25.39583268372476 " " absolute error = 2.27373675443232060000000000000E-13 " " relative error = 8.9531884335082030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.329999999999887 " " y[1] (analytic) = 25.421241218558293 " " y[1] (numeric) = 25.42124121855852 " " absolute error = 2.27373675443232060000000000000E-13 " " relative error = 8.9442397201770860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 1358187913.1294603 " " Order of pole (six term test) = -137438953472012.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.339999999999887 " " y[1] (analytic) = 25.446675174635395 " " y[1] (numeric) = 25.446675174635622 " " absolute error = 2.27373675443232060000000000000E-13 " " relative error = 8.9352999510864360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1358187913.1294603 " " Order of pole (six term test) = 137438953471988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.349999999999887 " " y[1] (analytic) = 25.472134577389788 " " y[1] (numeric) = 25.47213457739002 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 9.0658436347542390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 2540936918.8939624 " " Order of pole (six term test) = -549755813888012. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.359999999999887 " " y[1] (analytic) = 25.497619452280883 " " y[1] (numeric) = 25.497619452281114 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 9.0567823225307060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.369999999999886 " " y[1] (analytic) = 25.523129824793557 " " y[1] (numeric) = 25.523129824793788 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 9.047730067090249000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.379999999999886 " " y[1] (analytic) = 25.548665720438184 " " y[1] (numeric) = 25.54866572043841 " " absolute error = 2.27373675443232060000000000000E-13 " " relative error = 8.8996301384670660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.389999999999886 " " y[1] (analytic) = 25.57422716475066 " " y[1] (numeric) = 25.574227164750884 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 8.7518172229629420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 811672525.312251 " " Order of pole (six term test) = -117804817261726.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.399999999999886 " " y[1] (analytic) = 25.599814183292423 " " y[1] (numeric) = 25.599814183292654 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 9.0206275509900140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 635234229.7234875 " " Order of pole (six term test) = -103079215104010.62 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.409999999999886 " " y[1] (analytic) = 25.625426801650505 " " y[1] (numeric) = 25.62542680165074 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.1502516081305040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.419999999999885 " " y[1] (analytic) = 25.651065045437537 " " y[1] (numeric) = 25.651065045437765 " " absolute error = 2.27373675443232060000000000000E-13 " " relative error = 8.8641027201197720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 799087692.9430355 " " Order of pole (six term test) = -21144454380319.195 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.429999999999885 " " y[1] (analytic) = 25.67672894029174 " " y[1] (numeric) = 25.676728940291973 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.1319693932232220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.439999999999885 " " y[1] (analytic) = 25.702418511877028 " " y[1] (numeric) = 25.70241851187726 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 8.9846171096825780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.449999999999885 " " y[1] (analytic) = 25.728133785882967 " " y[1] (numeric) = 25.728133785883198 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 8.9756369833843870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.4599999999998845 " " y[1] (analytic) = 25.75387478802483 " " y[1] (numeric) = 25.75387478802507 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.2425632429615920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994426 " " Order of pole (six term test) = -183251937962678. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.469999999999884 " " y[1] (analytic) = 25.779641544043642 " " y[1] (numeric) = 25.779641544043873 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 8.9577036487300520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.479999999999884 " " y[1] (analytic) = 25.805434079706135 " " y[1] (numeric) = 25.80543407970637 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.0864235058627330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.489999999999884 " " y[1] (analytic) = 25.831252420804866 " " y[1] (numeric) = 25.831252420805097 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 8.9398061449022540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000006 " " "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] = 7.499999999999884 " " y[1] (analytic) = 25.85709659315816 " " y[1] (numeric) = 25.857096593158396 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.0682688195888430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.509999999999883 " " y[1] (analytic) = 25.88296662261021 " " y[1] (numeric) = 25.882966622610443 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.0592050833926640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.519999999999883 " " y[1] (analytic) = 25.90886253503104 " " y[1] (numeric) = 25.908862535031272 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 8.9130269153962260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.529999999999883 " " y[1] (analytic) = 25.93478435631656 " " y[1] (numeric) = 25.934784356316793 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.0411047795631430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.539999999999883 " " y[1] (analytic) = 25.9607321123886 " " y[1] (numeric) = 25.960732112388833 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 8.8952186757411680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.549999999999883 " " y[1] (analytic) = 25.98670582919491 " " y[1] (numeric) = 25.98670582919515 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.159753377136990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.559999999999882 " " y[1] (analytic) = 26.01270553270922 " " y[1] (numeric) = 26.012705532709457 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.1505982021102980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294584 " " Order of pole (six term test) = -91625968981344.67 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.569999999999882 " " y[1] (analytic) = 26.038731248931235 " " y[1] (numeric) = 26.03873124893147 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 9.0050125929410370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 501544125.7716377 " " Order of pole (six term test) = -124944503156374.95 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.579999999999882 " " y[1] (analytic) = 26.06478300388666 " " y[1] (numeric) = 26.064783003886898 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.1323152947077810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.589999999999882 " " y[1] (analytic) = 26.09086082362727 " " y[1] (numeric) = 26.090860823627505 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 8.9870205657796580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.5999999999998815 " " y[1] (analytic) = 26.11696473423087 " " y[1] (numeric) = 26.116964734231107 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.114068916578620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994462 " " Order of pole (six term test) = -183251937962678.66 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.609999999999881 " " y[1] (analytic) = 26.14309476180138 " " y[1] (numeric) = 26.14309476180162 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.240854319643211000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 501544125.7716377 " " Order of pole (six term test) = -124944503156374.95 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.619999999999881 " " y[1] (analytic) = 26.169250932468838 " " y[1] (numeric) = 26.169250932469076 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.0958589947372780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.629999999999880 " " y[1] (analytic) = 26.1954332723894 " " y[1] (numeric) = 26.195433272389643 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.2223910803975820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 1358187913.1294553 " " Order of pole (six term test) = -229064922453344.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.639999999999880 " " y[1] (analytic) = 26.221641807745428 " " y[1] (numeric) = 26.221641807745666 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.0776854563440420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.6499999999998805 " " y[1] (analytic) = 26.24787656474544 " " y[1] (numeric) = 26.24787656474568 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.2039647307285720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 960383883.4994426 " " Order of pole (six term test) = -183251937962678. " " " " "TOP MAIN SOLVE Loop" x[1] = 7.65999999999988 " " y[1] (analytic) = 26.274137569624205 " " y[1] (numeric) = 26.27413756962445 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 9.3299825041884620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.66999999999988 " " y[1] (analytic) = 26.300424848642738 " " y[1] (numeric) = 26.300424848642976 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.0504932087405980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 679093956.5647317 " " Order of pole (six term test) = -137438953472011.12 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.67999999999988 " " y[1] (analytic) = 26.326738428088298 " " y[1] (numeric) = 26.326738428088543 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 9.3113411867113340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.68999999999988 " " y[1] (analytic) = 26.353078334274493 " " y[1] (numeric) = 26.35307833427473 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.0324103112482420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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] = 7.699999999999880 " " y[1] (analytic) = 26.379444593541212 " " y[1] (numeric) = 26.37944459354145 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 9.0233824156371230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.709999999999880 " " y[1] (analytic) = 26.40583723225472 " " y[1] (numeric) = 26.40583723225496 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.1489062828630430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 876706528.0951008 " " Order of pole (six term test) = -160345445717345.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.719999999999879 " " y[1] (analytic) = 26.432256276807664 " " y[1] (numeric) = 26.432256276807905 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.1397619495088840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.729999999999879 " " y[1] (analytic) = 26.458701753619085 " " y[1] (numeric) = 26.45870175361933 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 9.2649006787985780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190. " " "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 = 960383883.4994469 " " Order of pole (six term test) = 137438953471988.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.7399999999998785 " " y[1] (analytic) = 26.48517368913447 " " y[1] (numeric) = 26.48517368913471 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.1215006929535070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 743910157.351872 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.749999999999878 " " y[1] (analytic) = 26.511672109825746 " " y[1] (numeric) = 26.51167210982599 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 9.2463893948953110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 743910157.351872 " " Order of pole (six term test) = -54975581388811.6 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.759999999999878 " " y[1] (analytic) = 26.538197042191342 " " y[1] (numeric) = 26.538197042191587 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 9.2371476271544340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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 = 1358187913.12946 " " Order of pole (six term test) = -274877906944012.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.769999999999878 " " y[1] (analytic) = 26.564748512756196 " " y[1] (numeric) = 26.564748512756438 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.0941771966117790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.779999999999878 " " y[1] (analytic) = 26.59132654807177 " " y[1] (numeric) = 26.591326548072015 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 9.2186917938853370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 190.00000000000003 " " "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] = 7.7899999999998775 " " y[1] (analytic) = 26.617931174716116 " " y[1] (numeric) = 26.617931174716357 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 9.0760070184534390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 868699908.0741973 " " Order of pole (six term test) = -99955602525102.55 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.799999999999877 " " y[1] (analytic) = 26.644562419293845 " " y[1] (numeric) = 26.644562419294093 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 9.3336101228652140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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] = 7.809999999999877 " " y[1] (analytic) = 26.67122030843622 " " y[1] (numeric) = 26.671220308436467 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 9.3242811779921970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 189.99999999999997 " " "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 = 554477893.6637864 " " Order of pole (six term test) = -183251937962677.7 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ;" Iterations = 682 "Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds "Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 57 Seconds "Expected Time Remaining "= 0 Years 0 Days 0 Hours 0 Minutes 57 Seconds "Optimized Time Remaining "= 0 Years 0 Days 0 Hours 0 Minutes 56 Seconds "Expected Total Time "= 0 Years 0 Days 0 Hours 3 Minutes 56 Seconds "Time to Timeout " Unknown Percent Done = 75.88888888888751 "%" (%o58) true (%o58) diffeq.max