(%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) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%o3) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i4) 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) (%o4) 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) (%i5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms], max_value3 : 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, ""), value3 : 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 value3 > max_value3 then (max_value3 : value3, omniout_float(ALWAYS, "value3", 32, value3, 32, "")), omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3) (%o5) test_suggested_h() := block([max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms], max_value3 : 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, ""), value3 : 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 value3 > max_value3 then (max_value3 : value3, omniout_float(ALWAYS, "value3", 32, value3, 32, "")), omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""), max_value3) (%i6) 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)) (%o6) 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)) (%i7) 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 : 2 - 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, " ")))) (%o7) 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 : 2 - 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, " ")))) (%i8) adjust_for_pole(h_param) := block([hnew, sz2, tmp], block(hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > glob_small_float 1, 1 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 (%o8) adjust_for_pole(h_param) := block([hnew, sz2, tmp], block(hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > glob_small_float 1, 1 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 (%i9) 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, "%")) (%o9) 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, "%")) (%i10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term], n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m or (omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m - 1 or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m 1, m - 2 array_y_higher 1, m : m - 1, if m > 10 then (rm0 : ----------------------, array_y_higher 1, m - 1 array_y_higher 1, m - 1 rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, array_y_higher 1, m - 2 if omniabs(hdrc) > glob_small_float glob_small_float glob_h then (rcs : ------, ord_no : hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) -----------------------------------------------------, hdrc array_real_pole : rcs, array_real_pole : ord_no) 1, 1 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : 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 glob_small_float 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) elseif ((omniabs(array_y_higher ) >= glob_large_float) 1, m or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 1 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 2 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 3 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 4 or (omniabs(array_y_higher ) >= glob_large_float)) 1, m - 5 or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float)) 1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5 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) <= glob_small_float) rm4 rm3 rm2 or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) > dr1 dr2 - ds2 dr1 + ds1 dr2 glob_small_float then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) > glob_small_float 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_pole : rad_c, array_complex_pole : ord_no), 1, 1 1, 2 found_sing : 0, if (1 # found_sing) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found_sing : 1, 1, 2 1, 2 array_type_pole : 2, if glob_display_flag 1 then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if (1 # found_sing) and ((array_real_pole # glob_large_float) 1, 1 and (array_real_pole # glob_large_float) and (array_real_pole > 0.0) 1, 2 1, 1 and (array_real_pole > - 1.0 glob_smallish_float) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, array_type_pole : 3, if reached_interval() 1 then omniout_str(ALWAYS, "NO POLE for equation 1")), if (1 # found_sing) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > - 1.0 1, 1 1, 2 glob_smallish_float)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, 1, 2 1, 2 1 found_sing : 1, if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if 1 # found_sing then (array_poles : glob_large_float, 1, 1 array_poles : glob_large_float, array_type_pole : 3, 1, 2 1 if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")), array_pole : glob_large_float, array_pole : glob_large_float, 1 2 if array_pole > array_poles then (array_pole : array_poles , 1 1, 1 1 1, 1 array_pole : array_poles ), if array_pole glob_ratio_of_radius < 2 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_pole()) (%o10) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term], n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m or (omniabs(array_y_higher ) < glob_small_float glob_small_float) 1, m - 1 or (omniabs(array_y_higher ) < glob_small_float glob_small_float)) do m 1, m - 2 array_y_higher 1, m : m - 1, if m > 10 then (rm0 : ----------------------, array_y_higher 1, m - 1 array_y_higher 1, m - 1 rm1 : ----------------------, hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, array_y_higher 1, m - 2 if omniabs(hdrc) > glob_small_float glob_small_float glob_h then (rcs : ------, ord_no : hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) -----------------------------------------------------, hdrc array_real_pole : rcs, array_real_pole : ord_no) 1, 1 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : 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 glob_small_float 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) elseif ((omniabs(array_y_higher ) >= glob_large_float) 1, m or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 1 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 2 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 3 or (omniabs(array_y_higher ) >= glob_large_float) 1, m - 4 or (omniabs(array_y_higher ) >= glob_large_float)) 1, m - 5 or ((omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float) or (omniabs(array_y_higher ) <= glob_small_float)) 1, m 1, m - 1 1, m - 2 1, m - 3 1, m - 4 1, m - 5 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) <= glob_small_float) rm4 rm3 rm2 or (omniabs(dr1) <= glob_small_float) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) > dr1 dr2 - ds2 dr1 + ds1 dr2 glob_small_float then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) > glob_small_float 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_pole : rad_c, array_complex_pole : ord_no), 1, 1 1, 2 found_sing : 0, if (1 # found_sing) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found_sing : 1, 1, 2 1, 2 array_type_pole : 2, if glob_display_flag 1 then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if (1 # found_sing) and ((array_real_pole # glob_large_float) 1, 1 and (array_real_pole # glob_large_float) and (array_real_pole > 0.0) 1, 2 1, 1 and (array_real_pole > - 1.0 glob_smallish_float) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, array_type_pole : 3, if reached_interval() 1 then omniout_str(ALWAYS, "NO POLE for equation 1")), if (1 # found_sing) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > - 1.0 1, 1 1, 2 glob_smallish_float)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found_sing : 1, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1"))), if (1 # found_sing) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, 1, 2 1, 2 1 found_sing : 1, if glob_display_flag then (if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1"))), if 1 # found_sing then (array_poles : glob_large_float, 1, 1 array_poles : glob_large_float, array_type_pole : 3, 1, 2 1 if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1")), array_pole : glob_large_float, array_pole : glob_large_float, 1 2 if array_pole > array_poles then (array_pole : array_poles , 1 1, 1 1 1, 1 array_pole : array_poles ), if array_pole glob_ratio_of_radius < 2 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_pole()) (%i11) 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 (%o11) 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 (%i12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_const_0D2 array_x , 1 1 1 array_tmp2 : array_const_0D3 + array_tmp1 , 1 1 1 array_tmp3 : expt(array_const_2D0 , array_tmp2 ), 1 1 1 array_tmp3_c1 : ln(array_const_2D0 ), 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_0D2 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3_c1 array_tmp3 array_tmp2 1 1 2 array_tmp3 : --------------------------------------, 2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 2 2 1, 3 then (if 2 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary, 2 3 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 3 glob_h array_y_higher : temporary, 0)), kkk : 3, 2, 2 array_tmp3_c1 array_tmp3 array_tmp2 1 2 2 array_tmp3 : --------------------------------------, 3 2 array_tmp4 : array_tmp3 , if not array_y_set_initial 3 3 1, 4 then (if 3 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary, 3 4 temporary 3.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h array_y_higher : temporary, 0)), kkk : 4, 2, 3 array_tmp3_c1 array_tmp3 array_tmp2 1 3 2 array_tmp3 : --------------------------------------, 4 3 array_tmp4 : array_tmp3 , if not array_y_set_initial 4 4 1, 5 then (if 4 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary, 4 5 temporary 4.0 array_y_higher : temporary, temporary : -------------, 1, 5 glob_h array_y_higher : temporary, 0)), kkk : 5, 2, 4 array_tmp3_c1 array_tmp3 array_tmp2 1 4 2 array_tmp3 : --------------------------------------, 5 4 array_tmp4 : array_tmp3 , if not array_y_set_initial 5 5 1, 6 then (if 5 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary, 5 6 temporary 5.0 array_y_higher : temporary, temporary : -------------, 1, 6 glob_h array_y_higher : temporary, 0)), kkk : 6, 2, 5 while kkk <= glob_max_terms do (array_tmp3 : kkk array_tmp3_c1 array_tmp3 array_tmp2 1 kkk - 1 2 --------------------------------------------, array_tmp4 : array_tmp3 , kkk - 1 kkk kkk order_d : 1, if 1 + 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)) (%o12) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_const_0D2 array_x , 1 1 1 array_tmp2 : array_const_0D3 + array_tmp1 , 1 1 1 array_tmp3 : expt(array_const_2D0 , array_tmp2 ), 1 1 1 array_tmp3_c1 : ln(array_const_2D0 ), 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_0D2 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3_c1 array_tmp3 array_tmp2 1 1 2 array_tmp3 : --------------------------------------, 2 1 array_tmp4 : array_tmp3 , if not array_y_set_initial 2 2 1, 3 then (if 2 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary, 2 3 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 3 glob_h array_y_higher : temporary, 0)), kkk : 3, 2, 2 array_tmp3_c1 array_tmp3 array_tmp2 1 2 2 array_tmp3 : --------------------------------------, 3 2 array_tmp4 : array_tmp3 , if not array_y_set_initial 3 3 1, 4 then (if 3 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary, 3 4 temporary 3.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h array_y_higher : temporary, 0)), kkk : 4, 2, 3 array_tmp3_c1 array_tmp3 array_tmp2 1 3 2 array_tmp3 : --------------------------------------, 4 3 array_tmp4 : array_tmp3 , if not array_y_set_initial 4 4 1, 5 then (if 4 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary, 4 5 temporary 4.0 array_y_higher : temporary, temporary : -------------, 1, 5 glob_h array_y_higher : temporary, 0)), kkk : 5, 2, 4 array_tmp3_c1 array_tmp3 array_tmp2 1 4 2 array_tmp3 : --------------------------------------, 5 4 array_tmp4 : array_tmp3 , if not array_y_set_initial 5 5 1, 6 then (if 5 <= glob_max_terms then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary, 5 6 temporary 5.0 array_y_higher : temporary, temporary : -------------, 1, 6 glob_h array_y_higher : temporary, 0)), kkk : 6, 2, 5 while kkk <= glob_max_terms do (array_tmp3 : kkk array_tmp3_c1 array_tmp3 array_tmp2 1 kkk - 1 2 --------------------------------------------, array_tmp4 : array_tmp3 , kkk - 1 kkk kkk order_d : 1, if 1 + 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) (%i13) log10(x) := --------- log(10.0) log(x) (%o13) log10(x) := --------- log(10.0) (%i14) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o14) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i15) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o15) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i16) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o16) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i17) 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)) (%o17) 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)) (%i18) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o18) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i19) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o19) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i20) 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 (%o20) 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 (%i21) 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 (%o21) 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 (%i22) 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)) (%o22) 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)) (%i23) 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, "~%")) (%o23) 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, "~%")) (%i24) 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~%")) (%o24) 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~%")) (%i25) 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) (%o25) 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) (%i26) 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) (%o26) 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) (%i27) display_pole_debug(typ, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%o27) display_pole_debug(typ, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%i28) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o28) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%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") else printf(file, "No Pole"), 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") else printf(file, "No Pole"), 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(7.213475204444817 expt(2.0, 0.3 + 0.2 x)) (%o56) exact_soln_y(x) := block(7.213475204444817 expt(2.0, 0.3 + 0.2 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, value3, 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(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_value3, 0.0, float), define_variable(glob_ratio_of_radius, 0.01, 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_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, 1.0E-201, float), define_variable(glob_smallish_float, 1.0E-101, 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/expt_c_linpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"), 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, "/* # did poorly with x_start := -5.0; */"), omniout_str(ALWAYS, "x_end:5.0,"), 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:1000000,"), omniout_str(ALWAYS, "glob_display_interval:0.1,"), omniout_str(ALWAYS, "glob_max_minutes: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:0.001,"), 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, " (7.2\ 134752044448170367996234050095*expt(2.0,(0.2*x+0.3))) "), 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 : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, 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 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), 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_c1, 1 + max_terms), array(array_tmp3_a1, 1 + max_terms), array(array_tmp3_a2, 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 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 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 <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3_c1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3_a1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp3_a2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 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_c1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3_c1 : 0.0, term : 1 + term), term array(array_tmp3_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3_a1 : 0.0, term : 1 + term), term array(array_tmp3_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3_a2 : 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_2D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term), term array_const_2D0 : 2.0, 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_const_0D3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term), term array_const_0D3 : 0.3, 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 : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 1000000, glob_display_interval : 0.1, glob_max_minutes : 10, glob_desired_digits_correct : 10, glob_display_interval : 0.001, 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), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_max_h < glob_h then glob_h : glob_max_h, found_h : - 1.0, best_h : 0.0, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, while (opt_iter <= 20) and (found_h < 0.0) 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(), 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, ""), value3 : test_suggested_h(), omniout_float(ALWAYS, "value3", 32, value3, 32, ""), if (value3 < est_needed_step_err) and (found_h < 0.0) then (best_h : glob_h, found_h : 1.0), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter, glob_h : glob_h 0.5), if found_h > 0.0 then glob_h : best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found"), if glob_html_log then html_log_file : openw("html/entry.html"), if found_h > 0.0 then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, array_x : glob_h, glob_next_display : x_start, 1 2 order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : (array_y_init expt(glob_h, term_no - 1)) term_no term_no /factorial_1(term_no - 1), term_no : 1 + term_no), 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 ) = expt(2.0 , (0.2 * x + 0.3));"), 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, "2013-01-28T13:55:00-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "expt_c_lin"), logitem_str(html_log_file, "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"), 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_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), 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, " 165 "), logitem_str(html_log_file, "expt_c_lin diffeq.max"), logitem_str(html_log_file, "expt_c_lin 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, value3, 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(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_value3, 0.0, float), define_variable(glob_ratio_of_radius, 0.01, 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_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, 1.0E-201, float), define_variable(glob_smallish_float, 1.0E-101, 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/expt_c_linpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"), 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, "/* # did poorly with x_start := -5.0; */"), omniout_str(ALWAYS, "x_end:5.0,"), 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:1000000,"), omniout_str(ALWAYS, "glob_display_interval:0.1,"), omniout_str(ALWAYS, "glob_max_minutes: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:0.001,"), 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, " (7.2\ 134752044448170367996234050095*expt(2.0,(0.2*x+0.3))) "), 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 : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, 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 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), 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_c1, 1 + max_terms), array(array_tmp3_a1, 1 + max_terms), array(array_tmp3_a2, 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 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 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 <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3_c1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3_a1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp3_a2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 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_c1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3_c1 : 0.0, term : 1 + term), term array(array_tmp3_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3_a1 : 0.0, term : 1 + term), term array(array_tmp3_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3_a2 : 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_2D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term), term array_const_2D0 : 2.0, 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_const_0D3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term), term array_const_0D3 : 0.3, 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 : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : true, glob_max_iter : 1000000, glob_display_interval : 0.1, glob_max_minutes : 10, glob_desired_digits_correct : 10, glob_display_interval : 0.001, 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), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_max_h < glob_h then glob_h : glob_max_h, found_h : - 1.0, best_h : 0.0, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, while (opt_iter <= 20) and (found_h < 0.0) 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(), 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, ""), value3 : test_suggested_h(), omniout_float(ALWAYS, "value3", 32, value3, 32, ""), if (value3 < est_needed_step_err) and (found_h < 0.0) then (best_h : glob_h, found_h : 1.0), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter, glob_h : glob_h 0.5), if found_h > 0.0 then glob_h : best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found"), if glob_html_log then html_log_file : openw("html/entry.html"), if found_h > 0.0 then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, array_x : glob_h, glob_next_display : x_start, 1 2 order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : (array_y_init expt(glob_h, term_no - 1)) term_no term_no /factorial_1(term_no - 1), term_no : 1 + term_no), 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 ) = expt(2.0 , (0.2 * x + 0.3));"), 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, "2013-01-28T13:55:00-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "expt_c_lin"), logitem_str(html_log_file, "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"), 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_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), 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, " 165 "), logitem_str(html_log_file, "expt_c_lin diffeq.max"), logitem_str(html_log_file, "expt_c_lin 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/expt_c_linpostode.ode#################" "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:1.0," "/* # did poorly with x_start := -5.0; */" "x_end:5.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter:1000000," "glob_display_interval:0.1," "glob_max_minutes:10," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.001," "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(" " (7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3))) " "));" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" opt_iter = 1 glob_desired_digits_correct = 10. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 4. "" estimated_steps = 4000. "" step_error = 2.500000000000000E-14 "" est_needed_step_err = 2.500000000000000E-14 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" value3 = 1.2339100561909096000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-126 "" max_value3 = 1.2339100561909096000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-126 "" value3 = 1.2339100561909096000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-126 "" best_h = 1.000E-3 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 1. " " y[1] (analytic) = 10.201394465967896 " " y[1] (numeric) = 10.201394465967896 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.001 " " y[1] (analytic) = 10.202808777560612 " " y[1] (numeric) = 10.202808777560612 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0019999999999998 " " y[1] (analytic) = 10.204223285232139 " " y[1] (numeric) = 10.204223285232139 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0029999999999997 " " y[1] (analytic) = 10.20563798900966 " " y[1] (numeric) = 10.20563798900966 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0039999999999996 " " y[1] (analytic) = 10.20705288892036 " " y[1] (numeric) = 10.20705288892036 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0049999999999994 " " y[1] (analytic) = 10.208467984991435 " " y[1] (numeric) = 10.208467984991435 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0059999999999993 " " y[1] (analytic) = 10.20988327725008 " " y[1] (numeric) = 10.209883277250078 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.73984049686285200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0069999999999992 " " y[1] (analytic) = 10.211298765723493 " " y[1] (numeric) = 10.211298765723491 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.739599320473306800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0079999999999991 " " y[1] (analytic) = 10.212714450438874 " " y[1] (numeric) = 10.212714450438874 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.008999999999999 " " y[1] (analytic) = 10.214130331423435 " " y[1] (numeric) = 10.214130331423435 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.009999999999999 " " y[1] (analytic) = 10.215546408704384 " " y[1] (numeric) = 10.215546408704384 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0109999999999988 " " y[1] (analytic) = 10.216962682308937 " " y[1] (numeric) = 10.216962682308935 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.738634949187081400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0119999999999987 " " y[1] (analytic) = 10.218379152264308 " " y[1] (numeric) = 10.218379152264308 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0129999999999986 " " y[1] (analytic) = 10.219795818597724 " " y[1] (numeric) = 10.219795818597724 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0139999999999985 " " y[1] (analytic) = 10.221212681336407 " " y[1] (numeric) = 10.221212681336409 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.737912021578240700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0149999999999983 " " y[1] (analytic) = 10.222629740507589 " " y[1] (numeric) = 10.22262974050759 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.737671112513606800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0159999999999982 " " y[1] (analytic) = 10.224046996138503 " " y[1] (numeric) = 10.224046996138505 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.737430236843745500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0169999999999981 " " y[1] (analytic) = 10.225464448256384 " " y[1] (numeric) = 10.225464448256385 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.737189394564028500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.017999999999998 " " y[1] (analytic) = 10.226882096888474 " " y[1] (numeric) = 10.226882096888476 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.736948585669826400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.018999999999998 " " y[1] (analytic) = 10.228299942062016 " " y[1] (numeric) = 10.22829994206202 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.47341562031302450000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0199999999999978 " " y[1] (analytic) = 10.22971798380426 " " y[1] (numeric) = 10.229717983804264 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.47293413603891600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0209999999999977 " " y[1] (analytic) = 10.231136222142458 " " y[1] (numeric) = 10.231136222142462 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.47245271850807450000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0219999999999976 " " y[1] (analytic) = 10.232554657103867 " " y[1] (numeric) = 10.23255465710387 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.471971367711247400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0229999999999975 " " y[1] (analytic) = 10.233973288715745 " " y[1] (numeric) = 10.233973288715749 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.47149008363918500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0239999999999974 " " y[1] (analytic) = 10.235392117005356 " " y[1] (numeric) = 10.23539211700536 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.47100886628263770000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0249999999999972 " " y[1] (analytic) = 10.236811141999965 " " y[1] (numeric) = 10.23681114199997 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.20579157344853700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0259999999999971 " " y[1] (analytic) = 10.238230363726847 " " y[1] (numeric) = 10.238230363726851 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.470046631679097300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191843 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.026999999999997 " " y[1] (analytic) = 10.239649782213274 " " y[1] (numeric) = 10.239649782213277 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.469565614413613000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.027999999999997 " " y[1] (analytic) = 10.241069397486523 " " y[1] (numeric) = 10.241069397486529 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.20362699573998700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0289999999999968 " " y[1] (analytic) = 10.242489209573883 " " y[1] (numeric) = 10.242489209573886 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.468603779908989700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0299999999999967 " " y[1] (analytic) = 10.243909218502633 " " y[1] (numeric) = 10.243909218502637 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.468122962651367700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.4127902 " " Order of pole = 413088534581283.4 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0309999999999966 " " y[1] (analytic) = 10.245329424300067 " " y[1] (numeric) = 10.24532942430007 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.46764221204455100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0319999999999965 " " y[1] (analytic) = 10.246749826993476 " " y[1] (numeric) = 10.246749826993481 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.20074229211895100000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0329999999999964 " " y[1] (analytic) = 10.248170426610159 " " y[1] (numeric) = 10.248170426610164 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.20002136611956800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0339999999999963 " " y[1] (analytic) = 10.249591223177418 " " y[1] (numeric) = 10.249591223177422 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.46620036003654800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0349999999999961 " " y[1] (analytic) = 10.251012216722556 " " y[1] (numeric) = 10.251012216722561 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.198579813910862000000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.035999999999996 " " y[1] (analytic) = 10.252433407272884 " " y[1] (numeric) = 10.252433407272889 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.19785918767383400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.4127914 " " Order of pole = 82617706916247. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.036999999999996 " " y[1] (analytic) = 10.253854794855712 " " y[1] (numeric) = 10.253854794855718 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.19713866132989200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0379999999999958 " " y[1] (analytic) = 10.255276379498358 " " y[1] (numeric) = 10.255276379498365 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92855764648691700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 477610356.99187165 " " Order of pole = 70815177356781.87 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0389999999999957 " " y[1] (analytic) = 10.256698161228146 " " y[1] (numeric) = 10.256698161228151 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 5.19569790826587400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0399999999999956 " " y[1] (analytic) = 10.258120140072391 " " y[1] (numeric) = 10.258120140072398 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92663690869081500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0409999999999955 " " y[1] (analytic) = 10.259542316058429 " " y[1] (numeric) = 10.259542316058436 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92567673947740700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0419999999999954 " " y[1] (analytic) = 10.260964689213587 " " y[1] (numeric) = 10.260964689213594 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92471670336248900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0429999999999953 " " y[1] (analytic) = 10.262387259565202 " " y[1] (numeric) = 10.262387259565209 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92375680032761300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0439999999999952 " " y[1] (analytic) = 10.263810027140613 " " y[1] (numeric) = 10.26381002714062 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92279703035432800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.044999999999995 " " y[1] (analytic) = 10.265232991967162 " " y[1] (numeric) = 10.265232991967169 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92183739342419400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.045999999999995 " " y[1] (analytic) = 10.266656154072198 " " y[1] (numeric) = 10.266656154072205 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.92087788951876400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0469999999999948 " " y[1] (analytic) = 10.26807951348307 " " y[1] (numeric) = 10.268079513483077 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.91991851861959900000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0479999999999947 " " y[1] (analytic) = 10.269503070227131 " " y[1] (numeric) = 10.269503070227138 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.91895928070826300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0489999999999946 " " y[1] (analytic) = 10.270926824331742 " " y[1] (numeric) = 10.270926824331749 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.91800017576632200000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0499999999999945 " " y[1] (analytic) = 10.272350775824261 " " y[1] (numeric) = 10.27235077582427 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.64630150471917800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0509999999999944 " " y[1] (analytic) = 10.273774924732058 " " y[1] (numeric) = 10.273774924732066 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.64510295589611800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0519999999999943 " " y[1] (analytic) = 10.2751992710825 " " y[1] (numeric) = 10.275199271082508 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.64390457321568800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0529999999999942 " " y[1] (analytic) = 10.276623814902958 " " y[1] (numeric) = 10.276623814902969 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03712476279858330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.053999999999994 " " y[1] (analytic) = 10.278048556220815 " " y[1] (numeric) = 10.278048556220824 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.64150830619060400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.054999999999994 " " y[1] (analytic) = 10.279473495063447 " " y[1] (numeric) = 10.279473495063456 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.64031042179989700000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0559999999999938 " " y[1] (analytic) = 10.280898631458243 " " y[1] (numeric) = 10.28089863145825 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.91129016276777400000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0569999999999937 " " y[1] (analytic) = 10.282323965432585 " " y[1] (numeric) = 10.282323965432592 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.91033212091763800000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0579999999999936 " " y[1] (analytic) = 10.283749497013869 " " y[1] (numeric) = 10.283749497013877 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.63671776483887500000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892664 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0589999999999935 " " y[1] (analytic) = 10.285175226229493 " " y[1] (numeric) = 10.285175226229502 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.63552054451218300000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0599999999999934 " " y[1] (analytic) = 10.286601153106854 " " y[1] (numeric) = 10.286601153106863 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 8.63432349014396600000000000000E-14 "%" Correct digits = 16 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0609999999999933 " " y[1] (analytic) = 10.288027277673356 " " y[1] (numeric) = 10.288027277673367 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03597519220534660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0619999999999932 " " y[1] (analytic) = 10.289453599956406 " " y[1] (numeric) = 10.289453599956417 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03583158550291330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.062999999999993 " " y[1] (analytic) = 10.290880119983418 " " y[1] (numeric) = 10.290880119983429 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03568799870721610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.063999999999993 " " y[1] (analytic) = 10.292306837781805 " " y[1] (numeric) = 10.292306837781815 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.0355444318154959000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0649999999999928 " " y[1] (analytic) = 10.293733753378984 " " y[1] (numeric) = 10.293733753378996 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 1.20796769896249250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0659999999999927 " " y[1] (analytic) = 10.29516086680238 " " y[1] (numeric) = 10.295160866802393 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 1.2078002506884421000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0669999999999926 " " y[1] (analytic) = 10.296588178079421 " " y[1] (numeric) = 10.296588178079432 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03511385053660750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 421212742.72975665 " " Order of pole = 82617706916247.19 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0679999999999925 " " y[1] (analytic) = 10.298015687237534 " " y[1] (numeric) = 10.298015687237545 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03497036323320790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191843 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0689999999999924 " " y[1] (analytic) = 10.299443394304154 " " y[1] (numeric) = 10.299443394304165 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03482689581999330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0699999999999923 " " y[1] (analytic) = 10.300871299306719 " " y[1] (numeric) = 10.30087129930673 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03468344829420690000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0709999999999922 " " y[1] (analytic) = 10.302299402272672 " " y[1] (numeric) = 10.302299402272682 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03454002065309150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 389967223.4995331 " " Order of pole = 35407588678385.69 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.071999999999992 " " y[1] (analytic) = 10.303727703229457 " " y[1] (numeric) = 10.303727703229468 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03439661289389110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.072999999999992 " " y[1] (analytic) = 10.305156202204524 " " y[1] (numeric) = 10.305156202204534 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03425322501384960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0739999999999919 " " y[1] (analytic) = 10.306584899225324 " " y[1] (numeric) = 10.306584899225335 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.03410985701021130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0749999999999917 " " y[1] (analytic) = 10.308013794319315 " " y[1] (numeric) = 10.308013794319328 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 1.20629426036025780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0759999999999916 " " y[1] (analytic) = 10.309442887513958 " " y[1] (numeric) = 10.309442887513972 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.37843090749483170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0769999999999915 " " y[1] (analytic) = 10.31087217883672 " " y[1] (numeric) = 10.310872178836734 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.378239829640219800000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0779999999999914 " " y[1] (analytic) = 10.312301668315065 " " y[1] (numeric) = 10.31230166831508 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.37804877827278740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0789999999999913 " " y[1] (analytic) = 10.313731355976469 " " y[1] (numeric) = 10.313731355976483 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.37785775338886250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0799999999999912 " " y[1] (analytic) = 10.315161241848404 " " y[1] (numeric) = 10.315161241848418 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.37766675498477430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.080999999999991 " " y[1] (analytic) = 10.316591325958353 " " y[1] (numeric) = 10.316591325958367 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.37747578305685150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.081999999999991 " " y[1] (analytic) = 10.318021608333796 " " y[1] (numeric) = 10.318021608333812 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.5494454423016030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0829999999999909 " " y[1] (analytic) = 10.319452089002224 " " y[1] (numeric) = 10.31945208900224 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 1.54923065844167680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0839999999999907 " " y[1] (analytic) = 10.320882767991126 " " y[1] (numeric) = 10.320882767991144 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.72112878261672510000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0849999999999906 " " y[1] (analytic) = 10.322313645327998 " " y[1] (numeric) = 10.322313645328016 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.72089020004178080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0859999999999905 " " y[1] (analytic) = 10.323744721040338 " " y[1] (numeric) = 10.323744721040356 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.72065165053911230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0869999999999904 " " y[1] (analytic) = 10.32517599515565 " " y[1] (numeric) = 10.325175995155668 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 1.7204131341041340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0879999999999903 " " y[1] (analytic) = 10.326607467701438 " " y[1] (numeric) = 10.326607467701457 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.892192115805490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0889999999999902 " " y[1] (analytic) = 10.328039138705215 " " y[1] (numeric) = 10.328039138705234 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.8919298204608080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892698 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.08999999999999 " " y[1] (analytic) = 10.329471008194492 " " y[1] (numeric) = 10.329471008194512 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.8916675614754620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.09099999999999 " " y[1] (analytic) = 10.330903076196789 " " y[1] (numeric) = 10.33090307619681 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.06335127873935740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0919999999999899 " " y[1] (analytic) = 10.33233534273963 " " y[1] (numeric) = 10.332335342739649 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.89114315256261540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0929999999999898 " " y[1] (analytic) = 10.333767807850533 " " y[1] (numeric) = 10.333767807850554 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.06277927559095050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0939999999999896 " " y[1] (analytic) = 10.335200471557034 " " y[1] (numeric) = 10.335200471557055 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.06249333348360630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0949999999999895 " " y[1] (analytic) = 10.336633333886665 " " y[1] (numeric) = 10.336633333886684 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.89035681176238170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0959999999999894 " " y[1] (analytic) = 10.33806639486696 " " y[1] (numeric) = 10.33806639486698 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 1.89009477082723000000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0969999999999893 " " y[1] (analytic) = 10.339499654525461 " " y[1] (numeric) = 10.339499654525483 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.061635744963070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0979999999999892 " " y[1] (analytic) = 10.340933112889715 " " y[1] (numeric) = 10.340933112889736 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.06134996137174450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.098999999999989 " " y[1] (analytic) = 10.342366769987269 " " y[1] (numeric) = 10.34236676998729 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.06106421739569060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.099999999999989 " " y[1] (analytic) = 10.343800625845672 " " y[1] (numeric) = 10.343800625845695 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.23251005578186920000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1009999999999889 " " y[1] (analytic) = 10.345234680492487 " " y[1] (numeric) = 10.345234680492508 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.06049284826743450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1019999999999888 " " y[1] (analytic) = 10.346668933955266 " " y[1] (numeric) = 10.34666893395529 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.2318911583629392000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1029999999999887 " " y[1] (analytic) = 10.348103386261576 " " y[1] (numeric) = 10.3481033862616 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.40324191045677650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1039999999999885 " " y[1] (analytic) = 10.349538037438986 " " y[1] (numeric) = 10.349538037439011 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.40290877347771850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1049999999999884 " " y[1] (analytic) = 10.350972887515068 " " y[1] (numeric) = 10.350972887515091 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.23096313391533270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1059999999999883 " " y[1] (analytic) = 10.352407936517393 " " y[1] (numeric) = 10.352407936517416 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.230653878190560200000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1069999999999882 " " y[1] (analytic) = 10.353843184473543 " " y[1] (numeric) = 10.353843184473565 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.05877969107824220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.107999999999988 " " y[1] (analytic) = 10.3552786314111 " " y[1] (numeric) = 10.355278631411121 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.05849430339261300000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.108999999999988 " " y[1] (analytic) = 10.356714277357648 " " y[1] (numeric) = 10.356714277357671 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22972636820632450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1099999999999879 " " y[1] (analytic) = 10.358150122340781 " " y[1] (numeric) = 10.358150122340804 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22941728392180130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1109999999999878 " " y[1] (analytic) = 10.359586166388093 " " y[1] (numeric) = 10.359586166388116 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22910824248248800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1119999999999877 " " y[1] (analytic) = 10.36102240952718 " " y[1] (numeric) = 10.361022409527203 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.2287992438824458000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1129999999999876 " " y[1] (analytic) = 10.362458851785647 " " y[1] (numeric) = 10.36245885178567 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22849028811573620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1139999999999874 " " y[1] (analytic) = 10.363895493191096 " " y[1] (numeric) = 10.36389549319112 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22818137517642180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1149999999999873 " " y[1] (analytic) = 10.365332333771141 " " y[1] (numeric) = 10.365332333771162 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.05649769697713730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1159999999999872 " " y[1] (analytic) = 10.36676937355339 " " y[1] (numeric) = 10.366769373553412 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.05621262562113700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1169999999999871 " " y[1] (analytic) = 10.368206612565464 " " y[1] (numeric) = 10.368206612565485 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.05592759378167870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.117999999999987 " " y[1] (analytic) = 10.369644050834982 " " y[1] (numeric) = 10.369644050835005 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22694615157439240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.118999999999987 " " y[1] (analytic) = 10.37108168838957 " " y[1] (numeric) = 10.371081688389593 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.2266374526830190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1199999999999868 " " y[1] (analytic) = 10.372519525256859 " " y[1] (numeric) = 10.37251952525688 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.05507273530778360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1209999999999867 " " y[1] (analytic) = 10.373957561464476 " " y[1] (numeric) = 10.373957561464499 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22602018326970130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191866 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1219999999999866 " " y[1] (analytic) = 10.375395797040062 " " y[1] (numeric) = 10.375395797040085 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22571161273589450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1229999999999865 " " y[1] (analytic) = 10.376834232011255 " " y[1] (numeric) = 10.376834232011278 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 2.22540308497608170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1239999999999863 " " y[1] (analytic) = 10.378272866405698 " " y[1] (numeric) = 10.378272866405723 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.3962557230600520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.412792 " " Order of pole = 27539235638741.23 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1249999999999862 " " y[1] (analytic) = 10.379711700251043 " " y[1] (numeric) = 10.379711700251068 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.39592355450508580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1259999999999861 " " y[1] (analytic) = 10.381150733574938 " " y[1] (numeric) = 10.381150733574964 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5667051057092150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.126999999999986 " " y[1] (analytic) = 10.382589966405039 " " y[1] (numeric) = 10.382589966405066 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56634930949022950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.127999999999986 " " y[1] (analytic) = 10.384029398769007 " " y[1] (numeric) = 10.384029398769034 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5659935625916540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1289999999999858 " " y[1] (analytic) = 10.385469030694505 " " y[1] (numeric) = 10.38546903069453 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.39459534067287570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1299999999999857 " " y[1] (analytic) = 10.386908862209198 " " y[1] (numeric) = 10.386908862209223 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.3942634022798293000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1309999999999856 " " y[1] (analytic) = 10.388348893340758 " " y[1] (numeric) = 10.388348893340783 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.3939315099000260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1319999999999855 " " y[1] (analytic) = 10.38978912411686 " " y[1] (numeric) = 10.389789124116886 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56457106806473660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1329999999999854 " " y[1] (analytic) = 10.391229554565182 " " y[1] (numeric) = 10.391229554565209 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56421556766568100000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1339999999999852 " " y[1] (analytic) = 10.392670184713406 " " y[1] (numeric) = 10.392670184713435 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.73478412431576450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1349999999999851 " " y[1] (analytic) = 10.39411101458922 " " y[1] (numeric) = 10.394111014589248 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7344050290122140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.135999999999985 " " y[1] (analytic) = 10.395552044220313 " " y[1] (numeric) = 10.39555204422034 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56314936211761430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.136999999999985 " " y[1] (analytic) = 10.39699327363438 " " y[1] (numeric) = 10.396993273634406 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56279405879519200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1379999999999848 " " y[1] (analytic) = 10.398434702859113 " " y[1] (numeric) = 10.398434702859142 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.73326805837317830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1389999999999847 " " y[1] (analytic) = 10.399876331922222 " " y[1] (numeric) = 10.399876331922249 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5620835998997754000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1399999999999846 " " y[1] (analytic) = 10.401318160851407 " " y[1] (numeric) = 10.401318160851433 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56172844431312800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1409999999999845 " " y[1] (analytic) = 10.402760189674378 " " y[1] (numeric) = 10.402760189674405 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5613733379580860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1419999999999844 " " y[1] (analytic) = 10.40420241841885 " " y[1] (numeric) = 10.404202418418876 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56101828082782650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1429999999999843 " " y[1] (analytic) = 10.405644847112539 " " y[1] (numeric) = 10.405644847112566 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56066327291552500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1439999999999841 " " y[1] (analytic) = 10.407087475783165 " " y[1] (numeric) = 10.407087475783191 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.56030831421435840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.144999999999984 " " y[1] (analytic) = 10.408530304458454 " " y[1] (numeric) = 10.408530304458479 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.38928984440300560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.145999999999984 " " y[1] (analytic) = 10.409973333166132 " " y[1] (numeric) = 10.409973333166157 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.3889586414569372000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1469999999999838 " " y[1] (analytic) = 10.411416561933933 " " y[1] (numeric) = 10.411416561933958 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.3886274844221640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1479999999999837 " " y[1] (analytic) = 10.412859990789594 " " y[1] (numeric) = 10.412859990789618 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.3882963732923218000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1489999999999836 " " y[1] (analytic) = 10.414303619760851 " " y[1] (numeric) = 10.414303619760878 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5585342586368370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1499999999999835 " " y[1] (analytic) = 10.415747448875454 " " y[1] (numeric) = 10.41574744887548 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.55817959505926300000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1509999999999834 " " y[1] (analytic) = 10.417191478161147 " " y[1] (numeric) = 10.417191478161174 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5578249806450920000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1519999999999833 " " y[1] (analytic) = 10.418635707645683 " " y[1] (numeric) = 10.418635707645707 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 2.386972387695010000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1529999999999831 " " y[1] (analytic) = 10.420080137356813 " " y[1] (numeric) = 10.42008013735684 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.55711589927970500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.153999999999983 " " y[1] (analytic) = 10.421524767322301 " " y[1] (numeric) = 10.421524767322328 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.556761432314860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.154999999999983 " " y[1] (analytic) = 10.42296959756991 " " y[1] (numeric) = 10.422969597569937 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.55640701448616450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1559999999999828 " " y[1] (analytic) = 10.424414628127405 " " y[1] (numeric) = 10.424414628127431 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5560526457868080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1569999999999827 " " y[1] (analytic) = 10.425859859022557 " " y[1] (numeric) = 10.425859859022584 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5556983262099786000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 452455065.3055854 " " Order of pole = 38131249345954.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1579999999999826 " " y[1] (analytic) = 10.427305290283142 " " y[1] (numeric) = 10.427305290283169 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.55534405574886900000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1589999999999825 " " y[1] (analytic) = 10.428750921936935 " " y[1] (numeric) = 10.428750921936963 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.72532249002311400000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1599999999999824 " " y[1] (analytic) = 10.430196754011723 " " y[1] (numeric) = 10.430196754011751 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7249447062896760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1609999999999823 " " y[1] (analytic) = 10.43164278653529 " " y[1] (numeric) = 10.431642786535319 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7245669749245550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1619999999999822 " " y[1] (analytic) = 10.433089019535426 " " y[1] (numeric) = 10.433089019535455 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.724189295920490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.162999999999982 " " y[1] (analytic) = 10.434535453039924 " " y[1] (numeric) = 10.434535453039953 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7238116692702240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.4127914 " " Order of pole = 82617706916247. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.163999999999982 " " y[1] (analytic) = 10.435982087076582 " " y[1] (numeric) = 10.435982087076612 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.89364872590190560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397212 " " Order of pole = 49570624149744.375 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1649999999999818 " " y[1] (analytic) = 10.437428921673204 " " y[1] (numeric) = 10.437428921673233 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.72305657300205840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1659999999999817 " " y[1] (analytic) = 10.438875956857592 " " y[1] (numeric) = 10.438875956857622 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.89284654733025100000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892664 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1669999999999816 " " y[1] (analytic) = 10.440323192657559 " " y[1] (numeric) = 10.440323192657587 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.72230168606201250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1679999999999815 " " y[1] (analytic) = 10.441770629100914 " " y[1] (numeric) = 10.441770629100944 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.89204459113889300000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1689999999999814 " " y[1] (analytic) = 10.443218266215476 " " y[1] (numeric) = 10.443218266215506 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.891643696416560400000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397205 " " Order of pole = 49570624149743.625 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1699999999999813 " " y[1] (analytic) = 10.444666104029068 " " y[1] (numeric) = 10.444666104029098 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.89124285726618360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1709999999999812 " " y[1] (analytic) = 10.44611414256951 " " y[1] (numeric) = 10.446114142569542 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.06089160742594730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.171999999999981 " " y[1] (analytic) = 10.447562381864635 " " y[1] (numeric) = 10.447562381864666 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.890441345650490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 470930162.86643386 " " Order of pole = 82617706916247.84 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.172999999999981 " " y[1] (analytic) = 10.449010821942274 " " y[1] (numeric) = 10.449010821942304 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.890040673169770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1739999999999808 " " y[1] (analytic) = 10.450459462830262 " " y[1] (numeric) = 10.450459462830292 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88964005623020000000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 515878146.42305374 " " Order of pole = 123926560374376.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1749999999999807 " " y[1] (analytic) = 10.451908304556442 " " y[1] (numeric) = 10.45190830455647 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.71928423042266330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1759999999999806 " " y[1] (analytic) = 10.453357347148653 " " y[1] (numeric) = 10.453357347148684 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8888389889437140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1769999999999805 " " y[1] (analytic) = 10.454806590634748 " " y[1] (numeric) = 10.454806590634778 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8884385385814040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.412792 " " Order of pole = 27539235638741.23 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1779999999999804 " " y[1] (analytic) = 10.456256035042578 " " y[1] (numeric) = 10.456256035042607 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.71815354703948500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1789999999999803 " " y[1] (analytic) = 10.457705680399995 " " y[1] (numeric) = 10.457705680400025 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88763780438016870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1799999999999802 " " y[1] (analytic) = 10.459155526734863 " " y[1] (numeric) = 10.459155526734891 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7174000193184517000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.18099999999998 " " y[1] (analytic) = 10.460605574075041 " " y[1] (numeric) = 10.460605574075071 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88683729215882100000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.18199999999998 " " y[1] (analytic) = 10.462055822448399 " " y[1] (numeric) = 10.462055822448429 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8864371192713740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1829999999999798 " " y[1] (analytic) = 10.463506271882808 " " y[1] (numeric) = 10.463506271882837 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.71627011939371550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1839999999999797 " " y[1] (analytic) = 10.464956922406142 " " y[1] (numeric) = 10.464956922406172 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88563693990447960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1849999999999796 " " y[1] (analytic) = 10.46640777404628 " " y[1] (numeric) = 10.46640777404631 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8852369334096550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1859999999999795 " " y[1] (analytic) = 10.467858826831106 " " y[1] (numeric) = 10.467858826831135 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7151406892834450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1869999999999794 " " y[1] (analytic) = 10.469310080788503 " " y[1] (numeric) = 10.469310080788533 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88443708675881200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1879999999999793 " " y[1] (analytic) = 10.470761535946364 " " y[1] (numeric) = 10.470761535946394 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8840372465874240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1889999999999792 " " y[1] (analytic) = 10.472213192332584 " " y[1] (numeric) = 10.472213192332614 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8836374618418110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.189999999999979 " " y[1] (analytic) = 10.47366504997506 " " y[1] (numeric) = 10.47366504997509 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88323773251429050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.190999999999979 " " y[1] (analytic) = 10.475117108901694 " " y[1] (numeric) = 10.475117108901722 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7132593492679336000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1919999999999789 " " y[1] (analytic) = 10.47656936914039 " " y[1] (numeric) = 10.47656936914042 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7128832377249870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1929999999999787 " " y[1] (analytic) = 10.47802183071906 " " y[1] (numeric) = 10.47802183071909 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8820388769634680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1939999999999786 " " y[1] (analytic) = 10.479474493665618 " " y[1] (numeric) = 10.479474493665649 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8816393692315070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1949999999999785 " " y[1] (analytic) = 10.48092735800798 " " y[1] (numeric) = 10.48092735800801 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88123991687923900000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 515878146.4230545 " " Order of pole = 123926560374376.87 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1959999999999784 " " y[1] (analytic) = 10.482380423774067 " " y[1] (numeric) = 10.482380423774098 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8808405198989884000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1969999999999783 " " y[1] (analytic) = 10.483833690991808 " " y[1] (numeric) = 10.483833690991837 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7110034619134840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1979999999999782 " " y[1] (analytic) = 10.485287159689126 " " y[1] (numeric) = 10.485287159689156 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.88004189202383200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.198999999999978 " " y[1] (analytic) = 10.486740829893959 " " y[1] (numeric) = 10.486740829893987 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.71025191634219200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.199999999999978 " " y[1] (analytic) = 10.488194701634242 " " y[1] (numeric) = 10.488194701634269 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 2.5405089578335110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2009999999999779 " " y[1] (analytic) = 10.489648774937914 " " y[1] (numeric) = 10.489648774937942 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7095005791146930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2019999999999778 " " y[1] (analytic) = 10.49110304983292 " " y[1] (numeric) = 10.49110304983295 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 2.7091249886118170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397205 " " Order of pole = 49570624149743.625 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2029999999999776 " " y[1] (analytic) = 10.49255752634721 " " y[1] (numeric) = 10.492557526347241 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.87804629080905800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2039999999999775 " " y[1] (analytic) = 10.494012204508739 " " y[1] (numeric) = 10.494012204508769 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.87764733652870140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2049999999999774 " " y[1] (analytic) = 10.495467084345458 " " y[1] (numeric) = 10.495467084345488 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8772484375513180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 32.768 " " Order of pole = 247853120748767. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2059999999999773 " " y[1] (analytic) = 10.496922165885328 " " y[1] (numeric) = 10.49692216588536 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.04607604056743360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2069999999999772 " " y[1] (analytic) = 10.498377449156317 " " y[1] (numeric) = 10.498377449156347 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.8764508054748090000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.207999999999977 " " y[1] (analytic) = 10.499832934186387 " " y[1] (numeric) = 10.499832934186418 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.04523160602861050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.208999999999977 " " y[1] (analytic) = 10.501288621003512 " " y[1] (numeric) = 10.501288621003544 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.04480947654869800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 616592319.5352309 " " Order of pole = 35407588678384.29 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2099999999999769 " " y[1] (analytic) = 10.50274450963567 " " y[1] (numeric) = 10.502744509635702 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.0443874055843020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2109999999999768 " " y[1] (analytic) = 10.504200600110838 " " y[1] (numeric) = 10.50420060011087 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.04396539312730900000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2119999999999767 " " y[1] (analytic) = 10.505656892456999 " " y[1] (numeric) = 10.505656892457033 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 3.21262918579014570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2129999999999765 " " y[1] (analytic) = 10.507113386702141 " " y[1] (numeric) = 10.507113386702175 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 3.21218385168660360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2139999999999764 " " y[1] (analytic) = 10.508570082874256 " " y[1] (numeric) = 10.50857008287429 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 3.21173857931519800000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2149999999999763 " " y[1] (analytic) = 10.510026981001339 " " y[1] (numeric) = 10.51002698100137 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 3.04227792821119450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2159999999999762 " " y[1] (analytic) = 10.511484081111385 " " y[1] (numeric) = 10.51148408111142 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 3.21084821973456950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.216999999999976 " " y[1] (analytic) = 10.512941383232402 " " y[1] (numeric) = 10.512941383232436 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 3.21040313250823440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1031756292.846107 " " Order of pole = 743559362246321. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.217999999999976 " " y[1] (analytic) = 10.514398887392394 " " y[1] (numeric) = 10.514398887392428 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 3.2099581069798150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2189999999999759 " " y[1] (analytic) = 10.51585659361937 " " y[1] (numeric) = 10.515856593619406 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.37843488751658650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2199999999999758 " " y[1] (analytic) = 10.517314501941348 " " y[1] (numeric) = 10.517314501941383 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.3779665694552730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2209999999999757 " " y[1] (analytic) = 10.518772612386343 " " y[1] (numeric) = 10.51877261238638 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.54637323212773600000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2219999999999756 " " y[1] (analytic) = 10.520230924982378 " " y[1] (numeric) = 10.520230924982416 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.54588163448206260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2229999999999754 " " y[1] (analytic) = 10.521689439757482 " " y[1] (numeric) = 10.521689439757518 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.37656200474435300000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 729561871.2033756 " " Order of pole = 495706241497542.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2239999999999753 " " y[1] (analytic) = 10.523148156739682 " " y[1] (numeric) = 10.523148156739717 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.37609394630172640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2249999999999752 " " y[1] (analytic) = 10.524607075957011 " " y[1] (numeric) = 10.524607075957046 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.37562595274128100000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.225999999999975 " " y[1] (analytic) = 10.526066197437506 " " y[1] (numeric) = 10.526066197437544 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.54391592525672370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.226999999999975 " " y[1] (analytic) = 10.527525521209215 " " y[1] (numeric) = 10.52752552120925 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.37469016023095650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.227999999999975 " " y[1] (analytic) = 10.528985047300177 " " y[1] (numeric) = 10.528985047300212 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.3742223612630940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2289999999999748 " " y[1] (analytic) = 10.530444775738443 " " y[1] (numeric) = 10.530444775738479 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 3.3737546271414426000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2299999999999747 " " y[1] (analytic) = 10.531904706552066 " " y[1] (numeric) = 10.531904706552103 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5419513057498670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2309999999999746 " " y[1] (analytic) = 10.533364839769105 " " y[1] (numeric) = 10.533364839769142 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.54146032107086560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2319999999999744 " " y[1] (analytic) = 10.534825175417618 " " y[1] (numeric) = 10.534825175417655 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5409694044520760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2329999999999743 " " y[1] (analytic) = 10.536285713525672 " " y[1] (numeric) = 10.536285713525709 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.54047855588406350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2339999999999742 " " y[1] (analytic) = 10.537746454121336 " " y[1] (numeric) = 10.537746454121374 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.53998777535739440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2349999999999741 " " y[1] (analytic) = 10.539207397232682 " " y[1] (numeric) = 10.539207397232719 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5394970628626377000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.235999999999974 " " y[1] (analytic) = 10.540668542887786 " " y[1] (numeric) = 10.540668542887824 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5390064183903620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.236999999999974 " " y[1] (analytic) = 10.54212989111473 " " y[1] (numeric) = 10.542129891114767 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5385158419311386000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2379999999999738 " " y[1] (analytic) = 10.543591441941597 " " y[1] (numeric) = 10.543591441941635 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5380253334755390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 145912374.24067122 " " Order of pole = 89227123469548.9 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2389999999999737 " " y[1] (analytic) = 10.545053195396477 " " y[1] (numeric) = 10.545053195396514 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5375348930141370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2399999999999736 " " y[1] (analytic) = 10.54651515150746 " " y[1] (numeric) = 10.546515151507498 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5370445205375073000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2409999999999735 " " y[1] (analytic) = 10.547977310302644 " " y[1] (numeric) = 10.54797731030268 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.53655421603622570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2419999999999733 " " y[1] (analytic) = 10.549439671810125 " " y[1] (numeric) = 10.549439671810164 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.70444797852472030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2429999999999732 " " y[1] (analytic) = 10.550902236058011 " " y[1] (numeric) = 10.55090223605805 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.7039344685849710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2439999999999731 " " y[1] (analytic) = 10.552365003074408 " " y[1] (numeric) = 10.55236500307445 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 3.8717583493655110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 572315418.0983514 " " Order of pole = 19065624672971.312 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.244999999999973 " " y[1] (analytic) = 10.553827972887431 " " y[1] (numeric) = 10.55382797288747 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.7029076622435810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.245999999999973 " " y[1] (analytic) = 10.55529114552519 " " y[1] (numeric) = 10.55529114552523 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.70239436582220860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2469999999999728 " " y[1] (analytic) = 10.55675452101581 " " y[1] (numeric) = 10.556754521015847 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5336138159832653000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2479999999999727 " " y[1] (analytic) = 10.558218099387409 " " y[1] (numeric) = 10.558218099387446 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 3.5331239870456570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2489999999999726 " " y[1] (analytic) = 10.559681880668114 " " y[1] (numeric) = 10.559681880668155 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 3.86907558086596200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2499999999999725 " " y[1] (analytic) = 10.561145864886063 " " y[1] (numeric) = 10.561145864886102 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.70034189156870600000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2509999999999724 " " y[1] (analytic) = 10.562610052069385 " " y[1] (numeric) = 10.562610052069424 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.6998289508140220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2519999999999722 " " y[1] (analytic) = 10.564074442246222 " " y[1] (numeric) = 10.56407444224626 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 3.6993160811630960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2529999999999721 " " y[1] (analytic) = 10.565539035444713 " " y[1] (numeric) = 10.565539035444754 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 3.8669307045427130000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.253999999999972 " " y[1] (analytic) = 10.56700383169301 " " y[1] (numeric) = 10.56700383169305 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 3.8663946712755110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.254999999999972 " " y[1] (analytic) = 10.56846883101926 " " y[1] (numeric) = 10.5684688310193 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 3.86585871231314900000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2559999999999718 " " y[1] (analytic) = 10.569934033451617 " " y[1] (numeric) = 10.56993403345166 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.03338034189077430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2569999999999717 " " y[1] (analytic) = 10.571399439018242 " " y[1] (numeric) = 10.571399439018284 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.0328212354035570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2579999999999716 " " y[1] (analytic) = 10.572865047747296 " " y[1] (numeric) = 10.572865047747339 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.0322622064195840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2589999999999715 " " y[1] (analytic) = 10.574330859666945 " " y[1] (numeric) = 10.574330859666988 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.03170325492811230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2599999999999714 " " y[1] (analytic) = 10.575796874805361 " " y[1] (numeric) = 10.575796874805404 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.03114438091840000000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2609999999999713 " " y[1] (analytic) = 10.577263093190716 " " y[1] (numeric) = 10.577263093190759 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.0305855843797067000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 326269987.5605393 " " Order of pole = 148711872449256.4 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2619999999999711 " " y[1] (analytic) = 10.578729514851188 " " y[1] (numeric) = 10.578729514851231 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.03002686530129330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.262999999999971 " " y[1] (analytic) = 10.58019613981496 " " y[1] (numeric) = 10.580196139815003 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.02946822367242200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.263999999999971 " " y[1] (analytic) = 10.581662968110217 " " y[1] (numeric) = 10.58166296811026 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.0289096594823576000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2649999999999708 " " y[1] (analytic) = 10.58312999976515 " " y[1] (numeric) = 10.583129999765193 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.02835117272036470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2659999999999707 " " y[1] (analytic) = 10.584597234807951 " " y[1] (numeric) = 10.584597234807994 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.02779276337570940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2669999999999706 " " y[1] (analytic) = 10.586064673266819 " " y[1] (numeric) = 10.586064673266861 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 4.02723443143766200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2679999999999705 " " y[1] (analytic) = 10.587532315169952 " " y[1] (numeric) = 10.587532315169996 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 4.19445435093280300000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2689999999999704 " " y[1] (analytic) = 10.589000160545558 " " y[1] (numeric) = 10.589000160545604 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.36162783305000860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2699999999999703 " " y[1] (analytic) = 10.590468209421848 " " y[1] (numeric) = 10.590468209421893 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 4.19329156245402850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2709999999999702 " " y[1] (analytic) = 10.59193646182703 " " y[1] (numeric) = 10.591936461827077 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.3604187006650430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.27199999999997 " " y[1] (analytic) = 10.593404917789329 " " y[1] (numeric) = 10.593404917789373 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 4.19212909632398700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.27299999999997 " " y[1] (analytic) = 10.594873577336957 " " y[1] (numeric) = 10.594873577337003 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.3592099034762880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 616592319.5352309 " " Order of pole = 35407588678384.29 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2739999999999698 " " y[1] (analytic) = 10.596342440498143 " " y[1] (numeric) = 10.59634244049819 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.5262443086495840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2749999999999697 " " y[1] (analytic) = 10.597811507301117 " " y[1] (numeric) = 10.597811507301165 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.52561688144431540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2759999999999696 " " y[1] (analytic) = 10.599280777774112 " " y[1] (numeric) = 10.599280777774158 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.35739733598279060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2769999999999695 " " y[1] (analytic) = 10.600750251945362 " " y[1] (numeric) = 10.600750251945408 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.3567933143157460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2779999999999694 " " y[1] (analytic) = 10.602219929843107 " " y[1] (numeric) = 10.602219929843155 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.52373512162339230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2789999999999693 " " y[1] (analytic) = 10.603689811495595 " " y[1] (numeric) = 10.603689811495643 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.52310804224119600000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2799999999999692 " " y[1] (analytic) = 10.605159896931072 " " y[1] (numeric) = 10.60515989693112 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.52248104978463600000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.280999999999969 " " y[1] (analytic) = 10.606630186177792 " " y[1] (numeric) = 10.606630186177838 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.35437806482530440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.281999999999969 " " y[1] (analytic) = 10.608100679264009 " " y[1] (numeric) = 10.608100679264055 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.3537744616891070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2829999999999688 " " y[1] (analytic) = 10.609571376217984 " " y[1] (numeric) = 10.60957137621803 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.35317094222427260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2839999999999687 " " y[1] (analytic) = 10.61104227706798 " " y[1] (numeric) = 10.611042277068027 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.3525675064192020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2849999999999686 " " y[1] (analytic) = 10.612513381842266 " " y[1] (numeric) = 10.612513381842314 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.51934739096469600000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2859999999999685 " " y[1] (analytic) = 10.613984690569117 " " y[1] (numeric) = 10.613984690569163 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.35136088574196700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397205 " " Order of pole = 49570624149743.625 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2869999999999684 " " y[1] (analytic) = 10.615456203276802 " " y[1] (numeric) = 10.61545620327685 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.51809453549456200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2879999999999683 " " y[1] (analytic) = 10.616927919993607 " " y[1] (numeric) = 10.616927919993653 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 4.3501545995646470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2889999999999682 " " y[1] (analytic) = 10.618399840747811 " " y[1] (numeric) = 10.618399840747859 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.51684202734157160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.289999999999968 " " y[1] (analytic) = 10.619871965567706 " " y[1] (numeric) = 10.619871965567754 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.51621590347891570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.290999999999968 " " y[1] (analytic) = 10.621344294481577 " " y[1] (numeric) = 10.621344294481627 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6828339355357180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2919999999999678 " " y[1] (analytic) = 10.62281682751773 " " y[1] (numeric) = 10.622816827517777 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 4.51496391612111860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2929999999999677 " " y[1] (analytic) = 10.624289564704451 " " y[1] (numeric) = 10.624289564704501 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.681535758253840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2939999999999676 " " y[1] (analytic) = 10.625762506070053 " " y[1] (numeric) = 10.625762506070103 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6808868045746155000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2949999999999675 " " y[1] (analytic) = 10.62723565164284 " " y[1] (numeric) = 10.62723565164289 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6802379408532390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2959999999999674 " " y[1] (analytic) = 10.628709001451123 " " y[1] (numeric) = 10.628709001451172 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6795891670772394000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2969999999999673 " " y[1] (analytic) = 10.630182555523218 " " y[1] (numeric) = 10.630182555523268 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6789404832341480000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2979999999999672 " " y[1] (analytic) = 10.631656313887442 " " y[1] (numeric) = 10.631656313887493 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 4.8453737425011956000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.298999999999967 " " y[1] (analytic) = 10.633130276572121 " " y[1] (numeric) = 10.633130276572171 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6776433852968274000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.299999999999967 " " y[1] (analytic) = 10.634604443605578 " " y[1] (numeric) = 10.634604443605628 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6769949711776715000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3009999999999668 " " y[1] (analytic) = 10.636078815016146 " " y[1] (numeric) = 10.636078815016196 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6763466469415693000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3019999999999667 " " y[1] (analytic) = 10.63755339083216 " " y[1] (numeric) = 10.63755339083221 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.675698412576060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3029999999999666 " " y[1] (analytic) = 10.639028171081957 " " y[1] (numeric) = 10.639028171082007 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6750502680686870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892698 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3039999999999665 " " y[1] (analytic) = 10.640503155793882 " " y[1] (numeric) = 10.640503155793931 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6744022134069930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3049999999999664 " " y[1] (analytic) = 10.641978344996279 " " y[1] (numeric) = 10.641978344996328 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6737542485785244000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3059999999999663 " " y[1] (analytic) = 10.643453738717499 " " y[1] (numeric) = 10.643453738717549 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6731063735708284000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3069999999999662 " " y[1] (analytic) = 10.644929336985895 " " y[1] (numeric) = 10.644929336985946 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 4.8393321093847220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.307999999999966 " " y[1] (analytic) = 10.64640513982983 " " y[1] (numeric) = 10.646405139829879 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 4.6718108929679547000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.308999999999966 " " y[1] (analytic) = 10.647881147277657 " " y[1] (numeric) = 10.64788114727771 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 5.0048178078727290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3099999999999659 " " y[1] (analytic) = 10.64935735935775 " " y[1] (numeric) = 10.649357359357804 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 5.0041240408915540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3109999999999657 " " y[1] (analytic) = 10.65083377609848 " " y[1] (numeric) = 10.650833776098533 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 5.0034303700802370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3119999999999656 " " y[1] (analytic) = 10.652310397528217 " " y[1] (numeric) = 10.65231039752827 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 5.002736795425450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3129999999999655 " " y[1] (analytic) = 10.653787223675339 " " y[1] (numeric) = 10.653787223675392 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 5.0020433169138620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892698 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3139999999999654 " " y[1] (analytic) = 10.655264254568227 " " y[1] (numeric) = 10.655264254568282 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1680615990165500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3149999999999653 " " y[1] (analytic) = 10.656741490235271 " " y[1] (numeric) = 10.656741490235325 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 5.0006566482669750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3159999999999652 " " y[1] (analytic) = 10.658218930704857 " " y[1] (numeric) = 10.65821893070491 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9999634581050270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.316999999999965 " " y[1] (analytic) = 10.659696576005379 " " y[1] (numeric) = 10.659696576005432 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9992703640329794000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.317999999999965 " " y[1] (analytic) = 10.661174426165235 " " y[1] (numeric) = 10.661174426165289 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9985773660375127000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3189999999999649 " " y[1] (analytic) = 10.66265248121283 " " y[1] (numeric) = 10.66265248121288 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 4.8312883153017977000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3199999999999648 " " y[1] (analytic) = 10.664130741176562 " " y[1] (numeric) = 10.664130741176615 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.997191658223050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3209999999999646 " " y[1] (analytic) = 10.665609206084847 " " y[1] (numeric) = 10.6656092060849 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9964989483774240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892698 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3219999999999645 " " y[1] (analytic) = 10.667087875966095 " " y[1] (numeric) = 10.667087875966148 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9958063345551174000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3229999999999644 " " y[1] (analytic) = 10.668566750848722 " " y[1] (numeric) = 10.668566750848777 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1616176106342480000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3239999999999643 " " y[1] (analytic) = 10.670045830761154 " " y[1] (numeric) = 10.67004583076121 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1609021080914630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3249999999999642 " " y[1] (analytic) = 10.671525115731813 " " y[1] (numeric) = 10.671525115731868 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1601867047315180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.325999999999964 " " y[1] (analytic) = 10.673004605789128 " " y[1] (numeric) = 10.673004605789183 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1594714005406620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.326999999999964 " " y[1] (analytic) = 10.674484300961533 " " y[1] (numeric) = 10.674484300961588 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.158756195505150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3279999999999639 " " y[1] (analytic) = 10.675964201277466 " " y[1] (numeric) = 10.67596420127752 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9916526673657120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3289999999999638 " " y[1] (analytic) = 10.677444306765365 " " y[1] (numeric) = 10.677444306765418 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9909607253340427000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3299999999999637 " " y[1] (analytic) = 10.678924617453676 " " y[1] (numeric) = 10.67892461745373 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 4.9902688792192590000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3309999999999635 " " y[1] (analytic) = 10.680405133370847 " " y[1] (numeric) = 10.680405133370902 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1558963666416670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3319999999999634 " " y[1] (analytic) = 10.681885854545333 " " y[1] (numeric) = 10.681885854545389 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1551816571767370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3329999999999633 " " y[1] (analytic) = 10.68336678100559 " " y[1] (numeric) = 10.683366781005645 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.154467046784711000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3339999999999632 " " y[1] (analytic) = 10.684847912780077 " " y[1] (numeric) = 10.684847912780134 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3200026172406220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.334999999999963 " " y[1] (analytic) = 10.68632924989726 " " y[1] (numeric) = 10.686329249897318 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3192651593955430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.335999999999963 " " y[1] (analytic) = 10.687810792385607 " " y[1] (numeric) = 10.687810792385665 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4847317976447680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3369999999999629 " " y[1] (analytic) = 10.689292540273591 " " y[1] (numeric) = 10.68929254027365 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4839715050691180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 581989039.8371638 " " Order of pole = 22532101886240.73 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3379999999999628 " " y[1] (analytic) = 10.69077449358969 " " y[1] (numeric) = 10.690774493589746 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3170533991613020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 40.132439945759586 " " Order of pole = 247853120748767.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3389999999999627 " " y[1] (analytic) = 10.692256652362378 " " y[1] (numeric) = 10.692256652362436 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4824512360780870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3399999999999626 " " y[1] (analytic) = 10.693739016620148 " " y[1] (numeric) = 10.693739016620205 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3155794032809570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3409999999999624 " " y[1] (analytic) = 10.695221586391481 " " y[1] (numeric) = 10.695221586391538 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3148425585810350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3419999999999623 " " y[1] (analytic) = 10.696704361704874 " " y[1] (numeric) = 10.69670436170493 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1480400092716970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3429999999999622 " " y[1] (analytic) = 10.69818734258882 " " y[1] (numeric) = 10.698187342588875 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1473263888536710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3439999999999621 " " y[1] (analytic) = 10.69967052907182 " " y[1] (numeric) = 10.699670529071877 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3126326372723450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.344999999999962 " " y[1] (analytic) = 10.701153921182382 " " y[1] (numeric) = 10.701153921182437 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1458994447697230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.345999999999962 " " y[1] (analytic) = 10.702637518949008 " " y[1] (numeric) = 10.702637518949063 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 5.1451861210763790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3469999999999618 " " y[1] (analytic) = 10.70412132240021 " " y[1] (numeric) = 10.704121322400267 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3104236348529990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3479999999999617 " " y[1] (analytic) = 10.705605331564508 " " y[1] (numeric) = 10.705605331564566 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4756152393712070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3489999999999616 " " y[1] (analytic) = 10.707089546470423 " " y[1] (numeric) = 10.70708954647048 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.3089514768788290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3499999999999615 " " y[1] (analytic) = 10.708573967146473 " " y[1] (numeric) = 10.708573967146531 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4740972869078250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3509999999999613 " " y[1] (analytic) = 10.71005859362119 " " y[1] (numeric) = 10.710058593621248 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4733384684862190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3519999999999612 " " y[1] (analytic) = 10.711543425923104 " " y[1] (numeric) = 10.711543425923162 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4725797552518920000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3529999999999611 " " y[1] (analytic) = 10.713028464080752 " " y[1] (numeric) = 10.71302846408081 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4718211471902610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.353999999999961 " " y[1] (analytic) = 10.714513708122672 " " y[1] (numeric) = 10.71451370812273 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4710626442867520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.354999999999961 " " y[1] (analytic) = 10.715999158077409 " " y[1] (numeric) = 10.715999158077468 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4703042465267810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3559999999999608 " " y[1] (analytic) = 10.71748481397351 " " y[1] (numeric) = 10.717484813973568 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4695459538957790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3569999999999607 " " y[1] (analytic) = 10.718970675839525 " " y[1] (numeric) = 10.718970675839586 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.63450860778460100000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3579999999999606 " " y[1] (analytic) = 10.720456743704013 " " y[1] (numeric) = 10.720456743704073 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.6337275531733670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3589999999999605 " " y[1] (analytic) = 10.721943017595532 " " y[1] (numeric) = 10.72194301759559 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4672717066308520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3599999999999604 " " y[1] (analytic) = 10.723429497542643 " " y[1] (numeric) = 10.723429497542702 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4665138343700060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3609999999999602 " " y[1] (analytic) = 10.724916183573916 " " y[1] (numeric) = 10.724916183573974 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4657560671652830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3619999999999601 " " y[1] (analytic) = 10.726403075717922 " " y[1] (numeric) = 10.72640307571798 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4649984050021190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.36299999999996 " " y[1] (analytic) = 10.727890174003235 " " y[1] (numeric) = 10.727890174003294 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4642408478659530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.36399999999996 " " y[1] (analytic) = 10.729377478458435 " " y[1] (numeric) = 10.729377478458494 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4634833957422270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3649999999999598 " " y[1] (analytic) = 10.730864989112106 " " y[1] (numeric) = 10.730864989112165 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4627260486163830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3659999999999597 " " y[1] (analytic) = 10.732352705992833 " " y[1] (numeric) = 10.732352705992893 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.6274830127306520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3669999999999596 " " y[1] (analytic) = 10.733840629129212 " " y[1] (numeric) = 10.73384062912927 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4612116693001270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3679999999999595 " " y[1] (analytic) = 10.735328758549832 " " y[1] (numeric) = 10.73532875854989 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4604546370806120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3689999999999594 " " y[1] (analytic) = 10.736817094283293 " " y[1] (numeric) = 10.736817094283353 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.6251430949462490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3699999999999593 " " y[1] (analytic) = 10.7383056363582 " " y[1] (numeric) = 10.73830563635826 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.6243633385807890000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3709999999999591 " " y[1] (analytic) = 10.739794384803163 " " y[1] (numeric) = 10.739794384803222 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 5.4581841700019320000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.371999999999959 " " y[1] (analytic) = 10.741283339646786 " " y[1] (numeric) = 10.741283339646847 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.6228041501039640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.372999999999959 " " y[1] (analytic) = 10.74277250091769 " " y[1] (numeric) = 10.74277250091775 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 5.6220247179626350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3739999999999588 " " y[1] (analytic) = 10.74426186864449 " " y[1] (numeric) = 10.744261868644552 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7865761407444670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3749999999999587 " " y[1] (analytic) = 10.74575144285581 " " y[1] (numeric) = 10.745751442855873 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9510818353168470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3759999999999586 " " y[1] (analytic) = 10.747241223580279 " " y[1] (numeric) = 10.74724122358034 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7849719835633270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3769999999999585 " " y[1] (analytic) = 10.748731210846524 " " y[1] (numeric) = 10.748731210846586 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7841700717448990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3779999999999584 " " y[1] (analytic) = 10.750221404683181 " " y[1] (numeric) = 10.750221404683243 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7833682710873470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3789999999999583 " " y[1] (analytic) = 10.75171180511889 " " y[1] (numeric) = 10.751711805118953 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9477827696202730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3799999999999581 " " y[1] (analytic) = 10.753202412182294 " " y[1] (numeric) = 10.753202412182356 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7817650031932450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.380999999999958 " " y[1] (analytic) = 10.754693225902036 " " y[1] (numeric) = 10.7546932259021 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9461339226666220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.381999999999958 " " y[1] (analytic) = 10.756184246306772 " " y[1] (numeric) = 10.756184246306836 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9453096706079940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3829999999999578 " " y[1] (analytic) = 10.757675473425154 " " y[1] (numeric) = 10.757675473425216 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7793609346735160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3839999999999577 " " y[1] (analytic) = 10.75916690728584 " " y[1] (numeric) = 10.759166907285902 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7785598006577180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3849999999999576 " " y[1] (analytic) = 10.760658547917492 " " y[1] (numeric) = 10.760658547917554 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7777587776949770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3859999999999575 " " y[1] (analytic) = 10.762150395348778 " " y[1] (numeric) = 10.76215039534884 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7769578657699010000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3869999999999574 " " y[1] (analytic) = 10.763642449608367 " " y[1] (numeric) = 10.76364244960843 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7761570648670980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3879999999999573 " " y[1] (analytic) = 10.765134710724936 " " y[1] (numeric) = 10.765134710724999 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7753563749711780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3889999999999572 " " y[1] (analytic) = 10.766627178727163 " " y[1] (numeric) = 10.766627178727225 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7745557960667530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.389999999999957 " " y[1] (analytic) = 10.768119853643729 " " y[1] (numeric) = 10.76811985364379 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7737553281384370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.390999999999957 " " y[1] (analytic) = 10.769612735503319 " " y[1] (numeric) = 10.769612735503381 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7729549711708480000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3919999999999568 " " y[1] (analytic) = 10.771105824334626 " " y[1] (numeric) = 10.771105824334688 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7721547251486050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3929999999999567 " " y[1] (analytic) = 10.772599120166344 " " y[1] (numeric) = 10.772599120166406 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7713545900563260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3939999999999566 " " y[1] (analytic) = 10.77409262302717 " " y[1] (numeric) = 10.774092623027233 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7705545658786360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3949999999999565 " " y[1] (analytic) = 10.775586332945808 " " y[1] (numeric) = 10.77558633294587 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7697546526001590000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3959999999999564 " " y[1] (analytic) = 10.777080249950965 " " y[1] (numeric) = 10.777080249951027 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7689548502055230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397212 " " Order of pole = 49570624149744.375 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3969999999999563 " " y[1] (analytic) = 10.778574374071349 " " y[1] (numeric) = 10.778574374071411 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7681551586793570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3979999999999562 " " y[1] (analytic) = 10.780068705335673 " " y[1] (numeric) = 10.780068705335736 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.932137165949329000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.398999999999956 " " y[1] (analytic) = 10.78156324377266 " " y[1] (numeric) = 10.781563243772723 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9313148541187040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.399999999999956 " " y[1] (analytic) = 10.783057989411027 " " y[1] (numeric) = 10.783057989411091 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9304926562768050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4009999999999558 " " y[1] (analytic) = 10.784552942279506 " " y[1] (numeric) = 10.784552942279568 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7649575009520530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4019999999999557 " " y[1] (analytic) = 10.78604810240682 " " y[1] (numeric) = 10.786048102406884 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9288486024959730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4029999999999556 " " y[1] (analytic) = 10.78754346982171 " " y[1] (numeric) = 10.787543469821774 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9280267465254470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4039999999999555 " " y[1] (analytic) = 10.789039044552911 " " y[1] (numeric) = 10.789039044552974 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7625604210226620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4049999999999554 " " y[1] (analytic) = 10.790534826629166 " " y[1] (numeric) = 10.790534826629228 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 5.7617616158911660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4059999999999553 " " y[1] (analytic) = 10.792030816079217 " " y[1] (numeric) = 10.792030816079281 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9255618621038990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4069999999999552 " " y[1] (analytic) = 10.79352701293182 " " y[1] (numeric) = 10.793527012931884 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9247404617407580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.407999999999955 " " y[1] (analytic) = 10.795023417215727 " " y[1] (numeric) = 10.795023417215791 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9239191752399940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.408999999999955 " " y[1] (analytic) = 10.796520028959696 " " y[1] (numeric) = 10.79652002895976 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9230980025858240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4099999999999548 " " y[1] (analytic) = 10.798016848192487 " " y[1] (numeric) = 10.798016848192553 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.0867846366447560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 32.768 " " Order of pole = 247853120748767. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4109999999999547 " " y[1] (analytic) = 10.79951387494287 " " y[1] (numeric) = 10.799513874942935 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.0859408876084210000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4119999999999546 " " y[1] (analytic) = 10.801011109239614 " " y[1] (numeric) = 10.801011109239678 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 5.9206351675450670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4129999999999545 " " y[1] (analytic) = 10.802508551111488 " " y[1] (numeric) = 10.802508551111554 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.0842537404005750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4139999999999544 " " y[1] (analytic) = 10.804006200587276 " " y[1] (numeric) = 10.804006200587342 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.083410342196640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4149999999999543 " " y[1] (analytic) = 10.805504057695758 " " y[1] (numeric) = 10.805504057695824 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.082567060904420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4159999999999542 " " y[1] (analytic) = 10.80700212246572 " " y[1] (numeric) = 10.807002122465786 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.0817238965077060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.416999999999954 " " y[1] (analytic) = 10.808500394925952 " " y[1] (numeric) = 10.808500394926018 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 6.0808808489902950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.417999999999954 " " y[1] (analytic) = 10.809998875105247 " " y[1] (numeric) = 10.809998875105315 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 6.2443632674802030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4189999999999539 " " y[1] (analytic) = 10.811497563032406 " " y[1] (numeric) = 10.811497563032473 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 6.2434976749212430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4199999999999537 " " y[1] (analytic) = 10.812996458736228 " " y[1] (numeric) = 10.812996458736295 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 6.2426322023505760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4209999999999536 " " y[1] (analytic) = 10.81449556224552 " " y[1] (numeric) = 10.814495562245588 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 6.2417668497515670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4219999999999535 " " y[1] (analytic) = 10.81599487358909 " " y[1] (numeric) = 10.81599487358916 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 6.4051358701893650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4229999999999534 " " y[1] (analytic) = 10.817494392795757 " " y[1] (numeric) = 10.817494392795826 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 6.4042479913599510000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4239999999999533 " " y[1] (analytic) = 10.818994119894333 " " y[1] (numeric) = 10.818994119894404 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5675489595981030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4249999999999532 " " y[1] (analytic) = 10.820494054913643 " " y[1] (numeric) = 10.820494054913715 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5666385670942540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.425999999999953 " " y[1] (analytic) = 10.821994197882514 " " y[1] (numeric) = 10.821994197882585 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5657283007888570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.426999999999953 " " y[1] (analytic) = 10.823494548829773 " " y[1] (numeric) = 10.823494548829844 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5648181606644170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4279999999999529 " " y[1] (analytic) = 10.824995107784256 " " y[1] (numeric) = 10.824995107784327 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5639081467034450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4289999999999528 " " y[1] (analytic) = 10.826495874774801 " " y[1] (numeric) = 10.82649587477487 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 6.398923302416240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4299999999999526 " " y[1] (analytic) = 10.827996849830248 " " y[1] (numeric) = 10.827996849830319 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.562088497201950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4309999999999525 " " y[1] (analytic) = 10.829498032979444 " " y[1] (numeric) = 10.829498032979515 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5611788616264570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4319999999999524 " " y[1] (analytic) = 10.83099942425124 " " y[1] (numeric) = 10.830999424251312 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5602693521444890000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4329999999999523 " " y[1] (analytic) = 10.83250102367449 " " y[1] (numeric) = 10.832501023674562 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5593599687385680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4339999999999522 " " y[1] (analytic) = 10.83400283127805 " " y[1] (numeric) = 10.834002831278122 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5584507113912190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.434999999999952 " " y[1] (analytic) = 10.835504847090782 " " y[1] (numeric) = 10.835504847090855 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7214801195870920000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 326269987.5605393 " " Order of pole = 148711872449256.4 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.435999999999952 " " y[1] (analytic) = 10.837007071141555 " " y[1] (numeric) = 10.837007071141626 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.556632574802340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4369999999999519 " " y[1] (analytic) = 10.838509503459235 " " y[1] (numeric) = 10.838509503459306 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5557236955258680000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4379999999999518 " " y[1] (analytic) = 10.840012144072697 " " y[1] (numeric) = 10.84001214407277 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7186853157940370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4389999999999517 " " y[1] (analytic) = 10.84151499301082 " " y[1] (numeric) = 10.841514993010893 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7177539727945650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4399999999999515 " " y[1] (analytic) = 10.843018050302486 " " y[1] (numeric) = 10.84301805030256 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7168227588976970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4409999999999514 " " y[1] (analytic) = 10.84452131597658 " " y[1] (numeric) = 10.844521315976653 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7158916740855390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4419999999999513 " " y[1] (analytic) = 10.846024790061993 " " y[1] (numeric) = 10.846024790062065 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7149607183401980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4429999999999512 " " y[1] (analytic) = 10.847528472587618 " " y[1] (numeric) = 10.84752847258769 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7140298916437810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.443999999999951 " " y[1] (analytic) = 10.849032363582355 " " y[1] (numeric) = 10.849032363582426 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5493650672959990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.444999999999951 " " y[1] (analytic) = 10.850536463075102 " " y[1] (numeric) = 10.850536463075173 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 6.5484571954401640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4459999999999509 " " y[1] (analytic) = 10.852040771094766 " " y[1] (numeric) = 10.852040771094838 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7112381856692040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4469999999999508 " " y[1] (analytic) = 10.85354528767026 " " y[1] (numeric) = 10.853545287670332 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7103078749896250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4479999999999507 " " y[1] (analytic) = 10.855050012830496 " " y[1] (numeric) = 10.855050012830569 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7093776932695490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4489999999999505 " " y[1] (analytic) = 10.856554946604392 " " y[1] (numeric) = 10.856554946604465 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7084476404911050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4499999999999504 " " y[1] (analytic) = 10.85806008902087 " " y[1] (numeric) = 10.858060089020944 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 6.7075177166364150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4509999999999503 " " y[1] (analytic) = 10.859565440108856 " " y[1] (numeric) = 10.85956544010893 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 6.8701632368507250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4519999999999502 " " y[1] (analytic) = 10.86107099989728 " " y[1] (numeric) = 10.861070999897356 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 7.0327635363891070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397212 " " Order of pole = 49570624149744.375 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.45299999999995 " " y[1] (analytic) = 10.862576768415076 " " y[1] (numeric) = 10.862576768415153 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 7.0317886559208740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.45399999999995 " " y[1] (analytic) = 10.864082745691183 " " y[1] (numeric) = 10.86408274569126 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 7.0308139105904040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4549999999999499 " " y[1] (analytic) = 10.865588931754544 " " y[1] (numeric) = 10.865588931754619 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 6.8663546654864280000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4559999999999498 " " y[1] (analytic) = 10.867095326634102 " " y[1] (numeric) = 10.867095326634177 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 6.8654028525871750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4569999999999497 " " y[1] (analytic) = 10.868601930358807 " " y[1] (numeric) = 10.868601930358883 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 7.0278904852382540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4579999999999496 " " y[1] (analytic) = 10.870108742957614 " " y[1] (numeric) = 10.870108742957692 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 7.1903329379522650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4589999999999494 " " y[1] (analytic) = 10.871615764459484 " " y[1] (numeric) = 10.87161576445956 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 7.0259422103489320000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4599999999999493 " " y[1] (analytic) = 10.873122994893375 " " y[1] (numeric) = 10.873122994893453 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 7.1883396306948030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191866 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4609999999999492 " " y[1] (analytic) = 10.874630434288257 " " y[1] (numeric) = 10.874630434288335 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 7.1873431842952150000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4619999999999491 " " y[1] (analytic) = 10.876138082673096 " " y[1] (numeric) = 10.876138082673174 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 7.1863468760228570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.462999999999949 " " y[1] (analytic) = 10.877645940076869 " " y[1] (numeric) = 10.877645940076947 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 7.1853507058585770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.463999999999949 " " y[1] (analytic) = 10.879154006528553 " " y[1] (numeric) = 10.879154006528632 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 7.1843546737832350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4649999999999488 " " y[1] (analytic) = 10.88066228205713 " " y[1] (numeric) = 10.88066228205721 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3466169338635450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4659999999999487 " " y[1] (analytic) = 10.882170766691589 " " y[1] (numeric) = 10.882170766691669 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3455985470914950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4669999999999486 " " y[1] (analytic) = 10.883679460460916 " " y[1] (numeric) = 10.883679460460996 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3445803014880450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4679999999999485 " " y[1] (analytic) = 10.885188363394109 " " y[1] (numeric) = 10.885188363394189 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3435621970336240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4689999999999483 " " y[1] (analytic) = 10.886697475520164 " " y[1] (numeric) = 10.886697475520243 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3425442337086670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4699999999999482 " " y[1] (analytic) = 10.888206796868083 " " y[1] (numeric) = 10.888206796868163 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.341526411493610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4709999999999481 " " y[1] (analytic) = 10.889716327466873 " " y[1] (numeric) = 10.889716327466953 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3405087303688930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.471999999999948 " " y[1] (analytic) = 10.891226067345546 " " y[1] (numeric) = 10.891226067345626 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3394911903149580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.472999999999948 " " y[1] (analytic) = 10.892736016533114 " " y[1] (numeric) = 10.892736016533194 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3384737913122520000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4739999999999478 " " y[1] (analytic) = 10.894246175058596 " " y[1] (numeric) = 10.894246175058676 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.3374565333412180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191843 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4749999999999477 " " y[1] (analytic) = 10.895756542951014 " " y[1] (numeric) = 10.895756542951096 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4994714034130270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4759999999999476 " " y[1] (analytic) = 10.897267120239396 " " y[1] (numeric) = 10.897267120239478 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4984318279807780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4769999999999475 " " y[1] (analytic) = 10.898777906952773 " " y[1] (numeric) = 10.898777906952855 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4973923966542930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4779999999999474 " " y[1] (analytic) = 10.900288903120178 " " y[1] (numeric) = 10.90028890312026 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4963531094136020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4789999999999472 " " y[1] (analytic) = 10.901800108770647 " " y[1] (numeric) = 10.90180010877073 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.658255574200440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4799999999999471 " " y[1] (analytic) = 10.903311523933228 " " y[1] (numeric) = 10.903311523933311 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6571939881338250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.480999999999947 " " y[1] (analytic) = 10.904823148636963 " " y[1] (numeric) = 10.904823148637046 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6561325492240900000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.481999999999947 " " y[1] (analytic) = 10.906334982910906 " " y[1] (numeric) = 10.906334982910987 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4921974009093240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4829999999999468 " " y[1] (analytic) = 10.907847026784108 " " y[1] (numeric) = 10.90784702678419 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4911588337980460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4839999999999467 " " y[1] (analytic) = 10.90935928028563 " " y[1] (numeric) = 10.909359280285711 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4901204106527620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4849999999999466 " " y[1] (analytic) = 10.910871743444533 " " y[1] (numeric) = 10.910871743444616 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6518882647459840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4859999999999465 " " y[1] (analytic) = 10.912384416289887 " " y[1] (numeric) = 10.912384416289969 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4880439961803510000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4869999999999464 " " y[1] (analytic) = 10.913897298850758 " " y[1] (numeric) = 10.913897298850841 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.649767004917960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4879999999999463 " " y[1] (analytic) = 10.915410391156225 " " y[1] (numeric) = 10.915410391156309 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6487065955353550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4889999999999461 " " y[1] (analytic) = 10.916923693235365 " " y[1] (numeric) = 10.916923693235448 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6476463331465170000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.489999999999946 " " y[1] (analytic) = 10.918437205117263 " " y[1] (numeric) = 10.918437205117344 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4838928939495540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.4127892 " " Order of pole = 82617706916246.25 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.490999999999946 " " y[1] (analytic) = 10.919950926831001 " " y[1] (numeric) = 10.919950926831083 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.48285547800760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4919999999999458 " " y[1] (analytic) = 10.921464858405674 " " y[1] (numeric) = 10.921464858405756 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4818182058720630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4929999999999457 " " y[1] (analytic) = 10.922978999870374 " " y[1] (numeric) = 10.922978999870457 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6434067531213380000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4939999999999456 " " y[1] (analytic) = 10.924493351254204 " " y[1] (numeric) = 10.924493351254286 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4797440929405110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4949999999999455 " " y[1] (analytic) = 10.926007912586265 " " y[1] (numeric) = 10.926007912586346 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4787072521046350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4959999999999454 " " y[1] (analytic) = 10.927522683895662 " " y[1] (numeric) = 10.927522683895743 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 7.4776705549954570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4969999999999453 " " y[1] (analytic) = 10.929037665211506 " " y[1] (numeric) = 10.92903766521159 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6391695233668180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4979999999999452 " " y[1] (analytic) = 10.930552856562915 " " y[1] (numeric) = 10.930552856562999 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6381105830052780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.498999999999945 " " y[1] (analytic) = 10.932068257979008 " " y[1] (numeric) = 10.932068257979092 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6370517894338690000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.499999999999945 " " y[1] (analytic) = 10.933583869488906 " " y[1] (numeric) = 10.93358386948899 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6359931426322410000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5009999999999448 " " y[1] (analytic) = 10.935099691121739 " " y[1] (numeric) = 10.935099691121822 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6349346425800500000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5019999999999447 " " y[1] (analytic) = 10.936615722906636 " " y[1] (numeric) = 10.93661572290672 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6338762892569540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5029999999999446 " " y[1] (analytic) = 10.938131964872731 " " y[1] (numeric) = 10.938131964872815 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6328180826426140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5039999999999445 " " y[1] (analytic) = 10.939648417049167 " " y[1] (numeric) = 10.93964841704925 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6317600227166920000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5049999999999444 " " y[1] (analytic) = 10.941165079465083 " " y[1] (numeric) = 10.941165079465168 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7930574734898950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5059999999999443 " " y[1] (analytic) = 10.94268195214963 " " y[1] (numeric) = 10.942681952149716 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7919772012072550000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5069999999999442 " " y[1] (analytic) = 10.944199035131959 " " y[1] (numeric) = 10.944199035132044 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7908970786717740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.507999999999944 " " y[1] (analytic) = 10.945716328441225 " " y[1] (numeric) = 10.94571632844131 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.789817105862691000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.508999999999944 " " y[1] (analytic) = 10.947233832106587 " " y[1] (numeric) = 10.947233832106672 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7887372827592540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5099999999999438 " " y[1] (analytic) = 10.94875154615721 " " y[1] (numeric) = 10.948751546157293 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 7.6254147424794430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5109999999999437 " " y[1] (analytic) = 10.950269470622258 " " y[1] (numeric) = 10.950269470622343 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7865780855863040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5119999999999436 " " y[1] (analytic) = 10.951787605530907 " " y[1] (numeric) = 10.951787605530992 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7854987114752980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5129999999999435 " " y[1] (analytic) = 10.95330595091233 " " y[1] (numeric) = 10.953305950912416 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7844194869869450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5139999999999434 " " y[1] (analytic) = 10.954824506795706 " " y[1] (numeric) = 10.954824506795793 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9454933373526020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5149999999999433 " " y[1] (analytic) = 10.956343273210225 " " y[1] (numeric) = 10.95634327321031 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 7.7822614867952390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5159999999999432 " " y[1] (analytic) = 10.957862250185066 " " y[1] (numeric) = 10.957862250185153 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9432906841972970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 32.768 " " Order of pole = 247853120748767. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.516999999999943 " " y[1] (analytic) = 10.959381437749427 " " y[1] (numeric) = 10.959381437749514 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9421895866129060000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.517999999999943 " " y[1] (analytic) = 10.9609008359325 " " y[1] (numeric) = 10.960900835932588 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9410886416624720000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5189999999999428 " " y[1] (analytic) = 10.96242044476349 " " y[1] (numeric) = 10.962420444763577 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9399878493248350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5199999999999427 " " y[1] (analytic) = 10.963940264271598 " " y[1] (numeric) = 10.963940264271685 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9388872095788430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5209999999999426 " " y[1] (analytic) = 10.965460294486029 " " y[1] (numeric) = 10.965460294486117 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.0997823697993310000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5219999999999425 " " y[1] (analytic) = 10.966980535435999 " " y[1] (numeric) = 10.966980535436088 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.0986595793644780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5229999999999424 " " y[1] (analytic) = 10.968500987150724 " " y[1] (numeric) = 10.968500987150813 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.097536944570640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5239999999999423 " " y[1] (analytic) = 10.970021649659424 " " y[1] (numeric) = 10.970021649659513 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.0964144653962430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5249999999999422 " " y[1] (analytic) = 10.971542522991324 " " y[1] (numeric) = 10.971542522991411 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9333862989833210000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191843 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.525999999999942 " " y[1] (analytic) = 10.97306360717565 " " y[1] (numeric) = 10.973063607175737 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.93228657434309900000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.526999999999942 " " y[1] (analytic) = 10.974584902241636 " " y[1] (numeric) = 10.974584902241723 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9311870021465180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5279999999999418 " " y[1] (analytic) = 10.976106408218518 " " y[1] (numeric) = 10.976106408218605 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9300875823724440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5289999999999417 " " y[1] (analytic) = 10.977628125135535 " " y[1] (numeric) = 10.977628125135624 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.090804403060970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5299999999999416 " " y[1] (analytic) = 10.979150053021936 " " y[1] (numeric) = 10.979150053022023 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9278892000073080000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5309999999999415 " " y[1] (analytic) = 10.980672191906965 " " y[1] (numeric) = 10.980672191907052 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9267902373739980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5319999999999414 " " y[1] (analytic) = 10.982194541819876 " " y[1] (numeric) = 10.982194541819965 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.0874402317129590000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5329999999999413 " " y[1] (analytic) = 10.983717102789926 " " y[1] (numeric) = 10.983717102790015 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.0863191521431570000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5339999999999412 " " y[1] (analytic) = 10.985239874846378 " " y[1] (numeric) = 10.985239874846465 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 7.9234942634176650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.534999999999941 " " y[1] (analytic) = 10.986762858018492 " " y[1] (numeric) = 10.986762858018581 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.084077459193580000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.535999999999941 " " y[1] (analytic) = 10.98828605233554 " " y[1] (numeric) = 10.98828605233563 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 8.0829568457707250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5369999999999409 " " y[1] (analytic) = 10.989809457826794 " " y[1] (numeric) = 10.989809457826885 " " absolute error = 9.05941988094127700000000000000E-14 " " relative error = 8.243473115440850000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5379999999999407 " " y[1] (analytic) = 10.991333074521533 " " y[1] (numeric) = 10.991333074521624 " " absolute error = 9.05941988094127700000000000000E-14 " " relative error = 8.2423304066196220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5389999999999406 " " y[1] (analytic) = 10.992856902449036 " " y[1] (numeric) = 10.992856902449127 " " absolute error = 9.05941988094127700000000000000E-14 " " relative error = 8.2411878562004950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5399999999999405 " " y[1] (analytic) = 10.994380941638587 " " y[1] (numeric) = 10.99438094163868 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 8.4016149830666360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5409999999999404 " " y[1] (analytic) = 10.995905192119478 " " y[1] (numeric) = 10.99590519211957 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 8.4004503526469980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5419999999999403 " " y[1] (analytic) = 10.997429653921001 " " y[1] (numeric) = 10.997429653921094 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 8.3992858836682270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 286157709.04917467 " " Order of pole = 95328123364903.06 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5429999999999402 " " y[1] (analytic) = 10.998954327072454 " " y[1] (numeric) = 10.998954327072546 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 8.3981215761079450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.54399999999994 " " y[1] (analytic) = 11.000479211603135 " " y[1] (numeric) = 11.00047921160323 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 8.5584373805196200000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.54499999999994 " " y[1] (analytic) = 11.002004307542354 " " y[1] (numeric) = 11.002004307542448 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 8.55725101140629900000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5459999999999399 " " y[1] (analytic) = 11.003529614919419 " " y[1] (numeric) = 11.003529614919513 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 8.5560648067472610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5469999999999398 " " y[1] (analytic) = 11.00505513376364 " " y[1] (numeric) = 11.005055133763737 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7162915734351740000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5479999999999396 " " y[1] (analytic) = 11.006580864104341 " " y[1] (numeric) = 11.006580864104437 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7150833226008610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5489999999999395 " " y[1] (analytic) = 11.00810680597084 " " y[1] (numeric) = 11.008106805970936 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7138752392540710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5499999999999394 " " y[1] (analytic) = 11.009632959392462 " " y[1] (numeric) = 11.009632959392558 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7126673233715870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5509999999999393 " " y[1] (analytic) = 11.011159324398538 " " y[1] (numeric) = 11.011159324398633 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7114595749301940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5519999999999392 " " y[1] (analytic) = 11.012685901018402 " " y[1] (numeric) = 11.012685901018497 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 8.5489510310565560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.552999999999939 " " y[1] (analytic) = 11.01421268928139 " " y[1] (numeric) = 11.014212689281486 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7090445802778420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.553999999999939 " " y[1] (analytic) = 11.015739689216849 " " y[1] (numeric) = 11.015739689216943 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 8.5465810870941650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5549999999999389 " " y[1] (analytic) = 11.017266900854118 " " y[1] (numeric) = 11.017266900854214 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7066302551113700000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5559999999999388 " " y[1] (analytic) = 11.018794324222553 " " y[1] (numeric) = 11.018794324222648 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7054233435273350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.412792 " " Order of pole = 27539235638741.23 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5569999999999387 " " y[1] (analytic) = 11.020321959351506 " " y[1] (numeric) = 11.020321959351602 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7042165992451780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5579999999999385 " " y[1] (analytic) = 11.021849806270335 " " y[1] (numeric) = 11.021849806270431 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7030100222417050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5589999999999384 " " y[1] (analytic) = 11.023377865008403 " " y[1] (numeric) = 11.023377865008499 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 8.7018036124937280000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5599999999999383 " " y[1] (analytic) = 11.024906135595074 " " y[1] (numeric) = 11.024906135595172 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8617195434961760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5609999999999382 " " y[1] (analytic) = 11.026434618059723 " " y[1] (numeric) = 11.02643461805982 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8604911334617410000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.561999999999938 " " y[1] (analytic) = 11.027963312431721 " " y[1] (numeric) = 11.027963312431819 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8592628937092940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.562999999999938 " " y[1] (analytic) = 11.029492218740447 " " y[1] (numeric) = 11.029492218740547 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0190900028373240000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5639999999999379 " " y[1] (analytic) = 11.031021337015286 " " y[1] (numeric) = 11.031021337015385 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0178397781369620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5649999999999378 " " y[1] (analytic) = 11.032550667285625 " " y[1] (numeric) = 11.032550667285722 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8555791959078430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5659999999999377 " " y[1] (analytic) = 11.03408020958085 " " y[1] (numeric) = 11.034080209580948 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8543516370473330000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5669999999999376 " " y[1] (analytic) = 11.035609963930359 " " y[1] (numeric) = 11.035609963930458 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0140901437753810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5679999999999374 " " y[1] (analytic) = 11.037139930363553 " " y[1] (numeric) = 11.03713993036365 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8518970297947140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5689999999999373 " " y[1] (analytic) = 11.038670108909832 " " y[1] (numeric) = 11.03867010890993 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8506699813554350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5699999999999372 " " y[1] (analytic) = 11.040200499598605 " " y[1] (numeric) = 11.040200499598702 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 8.8494431030093980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5709999999999371 " " y[1] (analytic) = 11.04173110245928 " " y[1] (numeric) = 11.04173110245938 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0090930564554450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.571999999999937 " " y[1] (analytic) = 11.043261917521278 " " y[1] (numeric) = 11.043261917521377 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0078442175300650000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.572999999999937 " " y[1] (analytic) = 11.044792944814015 " " y[1] (numeric) = 11.044792944814114 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0065955517185230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5739999999999368 " " y[1] (analytic) = 11.046324184366913 " " y[1] (numeric) = 11.046324184367013 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.005347058996820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5749999999999367 " " y[1] (analytic) = 11.047855636209402 " " y[1] (numeric) = 11.047855636209501 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 9.0040987393409630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5759999999999366 " " y[1] (analytic) = 11.049387300370912 " " y[1] (numeric) = 11.049387300371013 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.16361578188280100000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5769999999999365 " " y[1] (analytic) = 11.05091917688088 " " y[1] (numeric) = 11.050919176880981 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1623455230438790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 729561871.2033768 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5779999999999363 " " y[1] (analytic) = 11.052451265768745 " " y[1] (numeric) = 11.052451265768847 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1610754402880190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5789999999999362 " " y[1] (analytic) = 11.053983567063954 " " y[1] (numeric) = 11.053983567064053 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 8.9991071908962340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5799999999999361 " " y[1] (analytic) = 11.055516080795948 " " y[1] (numeric) = 11.05551608079605 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.158535802927851000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.580999999999936 " " y[1] (analytic) = 11.057048806994187 " " y[1] (numeric) = 11.057048806994286 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 8.9966124544453530000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.581999999999936 " " y[1] (analytic) = 11.058581745688121 " " y[1] (numeric) = 11.05858174568822 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 8.9953653455788720000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5829999999999358 " " y[1] (analytic) = 11.060114896907212 " " y[1] (numeric) = 11.060114896907313 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.154727666900450000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5839999999999357 " " y[1] (analytic) = 11.061648260680926 " " y[1] (numeric) = 11.061648260681027 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1534586401304940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5849999999999356 " " y[1] (analytic) = 11.06318183703873 " " y[1] (numeric) = 11.063181837038831 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1521897892728110000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5859999999999355 " " y[1] (analytic) = 11.064715626010097 " " y[1] (numeric) = 11.064715626010198 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1509211143030120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5869999999999354 " " y[1] (analytic) = 11.066249627624503 " " y[1] (numeric) = 11.066249627624604 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1496526151967220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5879999999999352 " " y[1] (analytic) = 11.06778384191143 " " y[1] (numeric) = 11.06778384191153 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 8.9878863218957040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191843 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5889999999999351 " " y[1] (analytic) = 11.069318268900359 " " y[1] (numeric) = 11.06931826890046 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1471161444771440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.589999999999935 " " y[1] (analytic) = 11.07085290862078 " " y[1] (numeric) = 11.070852908620884 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.3063016495311710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.590999999999935 " " y[1] (analytic) = 11.072387761102192 " " y[1] (numeric) = 11.072387761102293 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1445803769190970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5919999999999348 " " y[1] (analytic) = 11.073922826374083 " " y[1] (numeric) = 11.073922826374186 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.3037217524974440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5929999999999347 " " y[1] (analytic) = 11.075458104465962 " " y[1] (numeric) = 11.075458104466064 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1420453123276460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5939999999999346 " " y[1] (analytic) = 11.076993595407329 " " y[1] (numeric) = 11.07699359540743 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1407780435834930000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5949999999999345 " " y[1] (analytic) = 11.078529299227693 " " y[1] (numeric) = 11.078529299227796 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2998532478852460000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5959999999999344 " " y[1] (analytic) = 11.08006521595657 " " y[1] (numeric) = 11.080065215956672 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.298564103832291000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5969999999999342 " " y[1] (analytic) = 11.081601345623477 " " y[1] (numeric) = 11.081601345623579 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1369772912650820000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5979999999999341 " " y[1] (analytic) = 11.083137688257935 " " y[1] (numeric) = 11.083137688258036 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1357107250491340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.598999999999934 " " y[1] (analytic) = 11.084674243889468 " " y[1] (numeric) = 11.08467424388957 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.1344443344043780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.599999999999934 " " y[1] (analytic) = 11.086211012547608 " " y[1] (numeric) = 11.086211012547711 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2934093143820260000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6009999999999338 " " y[1] (analytic) = 11.087747994261889 " " y[1] (numeric) = 11.087747994261992 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2921210635860190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6019999999999337 " " y[1] (analytic) = 11.089285189061847 " " y[1] (numeric) = 11.08928518906195 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2908329913671140000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191866 " " Order of pole = 247853120748766.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6029999999999336 " " y[1] (analytic) = 11.090822596977027 " " y[1] (numeric) = 11.090822596977128 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 9.129380527050549000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6039999999999335 " " y[1] (analytic) = 11.092360218036971 " " y[1] (numeric) = 11.092360218037074 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2882573825616030000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6049999999999334 " " y[1] (analytic) = 11.093898052271232 " " y[1] (numeric) = 11.093898052271335 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2869698459254960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6059999999999333 " " y[1] (analytic) = 11.095436099709364 " " y[1] (numeric) = 11.095436099709467 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2856824877674970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 32.768 " " Order of pole = 247853120748767. " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6069999999999331 " " y[1] (analytic) = 11.096974360380925 " " y[1] (numeric) = 11.096974360381028 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 9.2843953080628630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.607999999999933 " " y[1] (analytic) = 11.098512834315475 " " y[1] (numeric) = 11.09851283431558 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4431618982831810000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.608999999999933 " " y[1] (analytic) = 11.100051521542584 " " y[1] (numeric) = 11.10005152154269 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.601884293704910000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.4127905 " " Order of pole = 123926560374376.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6099999999999328 " " y[1] (analytic) = 11.101590422091823 " " y[1] (numeric) = 11.10159042209193 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.6005532821604830000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397205 " " Order of pole = 49570624149743.625 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6109999999999327 " " y[1] (analytic) = 11.103129535992766 " " y[1] (numeric) = 11.10312953599287 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4392354142019690000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6119999999999326 " " y[1] (analytic) = 11.10466886327499 " " y[1] (numeric) = 11.104668863275094 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.437926949017160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6129999999999325 " " y[1] (analytic) = 11.106208403968079 " " y[1] (numeric) = 11.106208403968184 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4366186652115710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6139999999999324 " " y[1] (analytic) = 11.10774815810162 " " y[1] (numeric) = 11.107748158101726 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.595231080772940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6149999999999323 " " y[1] (analytic) = 11.109288125705207 " " y[1] (numeric) = 11.109288125705312 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4340026416374780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6159999999999322 " " y[1] (analytic) = 11.11082830680843 " " y[1] (numeric) = 11.110828306808537 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5925710865952870000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.616999999999932 " " y[1] (analytic) = 11.112368701440893 " " y[1] (numeric) = 11.112368701441 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5912413660460250000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.617999999999932 " " y[1] (analytic) = 11.113909309632199 " " y[1] (numeric) = 11.113909309632303 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.430079965992019000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6189999999999318 " " y[1] (analytic) = 11.11545013141195 " " y[1] (numeric) = 11.115450131412057 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5885824778988430000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6199999999999317 " " y[1] (analytic) = 11.116991166809767 " " y[1] (numeric) = 11.116991166809871 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4274657550789960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6209999999999316 " " y[1] (analytic) = 11.118532415855256 " " y[1] (numeric) = 11.118532415855363 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5859243268498050000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6219999999999315 " " y[1] (analytic) = 11.120073878578046 " " y[1] (numeric) = 11.12007387857815 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4248522688786750000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6229999999999314 " " y[1] (analytic) = 11.121615555007754 " " y[1] (numeric) = 11.121615555007859 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.423545797482990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6239999999999313 " " y[1] (analytic) = 11.123157445174012 " " y[1] (numeric) = 11.123157445174117 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4222395071901440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6249999999999312 " " y[1] (analytic) = 11.12469954910645 " " y[1] (numeric) = 11.124699549106555 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4209333979750360000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.625999999999931 " " y[1] (analytic) = 11.126241866834707 " " y[1] (numeric) = 11.126241866834812 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.419627469812559000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.626999999999931 " " y[1] (analytic) = 11.127784398388421 " " y[1] (numeric) = 11.127784398388526 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.418321722677620000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6279999999999308 " " y[1] (analytic) = 11.129327143797237 " " y[1] (numeric) = 11.129327143797342 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4170161565451230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6289999999999307 " " y[1] (analytic) = 11.130870103090805 " " y[1] (numeric) = 11.13087010309091 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4157107713899780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6299999999999306 " " y[1] (analytic) = 11.132413276298777 " " y[1] (numeric) = 11.132413276298882 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4144055671870990000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6309999999999305 " " y[1] (analytic) = 11.133956663450808 " " y[1] (numeric) = 11.133956663450915 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5726446209268490000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 515878146.42305404 " " Order of pole = 41308853458117.375 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6319999999999304 " " y[1] (analytic) = 11.135500264576562 " " y[1] (numeric) = 11.135500264576669 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5713176625808180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6329999999999303 " " y[1] (analytic) = 11.137044079705705 " " y[1] (numeric) = 11.13704407970581 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 9.4104910400412320000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6339999999999302 " " y[1] (analytic) = 11.1385881088679 " " y[1] (numeric) = 11.138588108868007 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.568664297691470000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.63499999999993 " " y[1] (analytic) = 11.140132352092827 " " y[1] (numeric) = 11.140132352092934 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.567337891097160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.63599999999993 " " y[1] (analytic) = 11.14167680941016 " " y[1] (numeric) = 11.141676809410267 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5660116683691020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6369999999999298 " " y[1] (analytic) = 11.143221480849583 " " y[1] (numeric) = 11.14322148084969 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.564685629481811000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892664 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6379999999999297 " " y[1] (analytic) = 11.144766366440779 " " y[1] (numeric) = 11.144766366440885 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5633597744098010000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 565116195.4397205 " " Order of pole = 49570624149743.625 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6389999999999296 " " y[1] (analytic) = 11.146311466213438 " " y[1] (numeric) = 11.146311466213545 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5620341031275950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6399999999999295 " " y[1] (analytic) = 11.147856780197257 " " y[1] (numeric) = 11.147856780197364 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.560708615609710000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6409999999999294 " " y[1] (analytic) = 11.14940230842193 " " y[1] (numeric) = 11.149402308422038 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7187063670278540000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6419999999999293 " " y[1] (analytic) = 11.150948050917162 " " y[1] (numeric) = 11.15094805091727 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7173591616277770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6429999999999292 " " y[1] (analytic) = 11.152494007712658 " " y[1] (numeric) = 11.152494007712766 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7160121429770770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.643999999999929 " " y[1] (analytic) = 11.154040178838128 " " y[1] (numeric) = 11.154040178838237 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7146653110498730000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.644999999999929 " " y[1] (analytic) = 11.15558656432329 " " y[1] (numeric) = 11.155586564323396 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5540839335937120000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6459999999999289 " " y[1] (analytic) = 11.157133164197857 " " y[1] (numeric) = 11.157133164197964 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.552759548126960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6469999999999287 " " y[1] (analytic) = 11.158679978491554 " " y[1] (numeric) = 11.158679978491662 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7106259353503970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 595684773.412792 " " Order of pole = 27539235638741.23 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6479999999999286 " " y[1] (analytic) = 11.160227007234111 " " y[1] (numeric) = 11.160227007234218 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5501113279262560000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6489999999999285 " " y[1] (analytic) = 11.161774250455254 " " y[1] (numeric) = 11.161774250455363 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.707933951360440000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6499999999999284 " " y[1] (analytic) = 11.163321708184723 " " y[1] (numeric) = 11.16332170818483 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5474638418663220000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6509999999999283 " " y[1] (analytic) = 11.164869380452252 " " y[1] (numeric) = 11.16486938045236 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7052427136434670000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6519999999999282 " " y[1] (analytic) = 11.16641726728759 " " y[1] (numeric) = 11.166417267287697 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5448170897436370000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.652999999999928 " " y[1] (analytic) = 11.16796536872048 " " y[1] (numeric) = 11.167965368720587 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 9.5434939888451780000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.653999999999928 " " y[1] (analytic) = 11.169513684780675 " " y[1] (numeric) = 11.169513684780783 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.7012072558773180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6549999999999279 " " y[1] (analytic) = 11.171062215497932 " " y[1] (numeric) = 11.17106221549804 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6998624762010070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6559999999999278 " " y[1] (analytic) = 11.172610960902007 " " y[1] (numeric) = 11.172610960902118 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8575099793794290000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6569999999999276 " " y[1] (analytic) = 11.174159921022671 " " y[1] (numeric) = 11.17415992102278 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6971734760619280000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6579999999999275 " " y[1] (analytic) = 11.175709095889685 " " y[1] (numeric) = 11.175709095889793 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6958292555474790000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6589999999999274 " " y[1] (analytic) = 11.177258485532823 " " y[1] (numeric) = 11.177258485532933 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.85341120860420000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6599999999999273 " " y[1] (analytic) = 11.178808089981864 " " y[1] (numeric) = 11.178808089981974 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8520453304422180000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6609999999999272 " " y[1] (analytic) = 11.180357909266588 " " y[1] (numeric) = 11.180357909266696 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6917977119145160000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.661999999999927 " " y[1] (analytic) = 11.181907943416777 " " y[1] (numeric) = 11.181907943416887 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8493141421053980000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.662999999999927 " " y[1] (analytic) = 11.183458192462222 " " y[1] (numeric) = 11.183458192462332 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8479488318780660000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6639999999999269 " " y[1] (analytic) = 11.185008656432716 " " y[1] (numeric) = 11.185008656432824 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6877678446048070000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6649999999999268 " " y[1] (analytic) = 11.186559335358051 " " y[1] (numeric) = 11.186559335358162 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8452187791743770000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6659999999999267 " " y[1] (analytic) = 11.188110229268036 " " y[1] (numeric) = 11.188110229268146 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.843854036645551000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6669999999999265 " " y[1] (analytic) = 11.189661338192472 " " y[1] (numeric) = 11.189661338192582 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8424894832970970000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6679999999999264 " " y[1] (analytic) = 11.191212662161169 " " y[1] (numeric) = 11.191212662161279 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8411251191027940000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6689999999999263 " " y[1] (analytic) = 11.19276420120394 " " y[1] (numeric) = 11.19276420120405 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.839760944036421000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6699999999999262 " " y[1] (analytic) = 11.194315955350604 " " y[1] (numeric) = 11.194315955350712 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6797131361673760000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.670999999999926 " " y[1] (analytic) = 11.195867924630981 " " y[1] (numeric) = 11.19586792463109 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.678371336002230000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.671999999999926 " " y[1] (analytic) = 11.197420109074898 " " y[1] (numeric) = 11.197420109075006 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6770297218371950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6729999999999259 " " y[1] (analytic) = 11.198972508712185 " " y[1] (numeric) = 11.198972508712293 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6756882936464840000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6739999999999258 " " y[1] (analytic) = 11.200525123572675 " " y[1] (numeric) = 11.200525123572785 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8329429047060270000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6749999999999257 " " y[1] (analytic) = 11.202077953686208 " " y[1] (numeric) = 11.202077953686318 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8315798638568020000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6759999999999255 " " y[1] (analytic) = 11.203630999082627 " " y[1] (numeric) = 11.203630999082737 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8302170119520630000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6769999999999254 " " y[1] (analytic) = 11.205184259791778 " " y[1] (numeric) = 11.205184259791887 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6703244401113350000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6779999999999253 " " y[1] (analytic) = 11.20673773584351 " " y[1] (numeric) = 11.20673773584362 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8274918748712880000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6789999999999252 " " y[1] (analytic) = 11.20829142726768 " " y[1] (numeric) = 11.208291427267788 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6676436285196040000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.679999999999925 " " y[1] (analytic) = 11.209845334094146 " " y[1] (numeric) = 11.209845334094254 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6663035014275280000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.680999999999925 " " y[1] (analytic) = 11.211399456352769 " " y[1] (numeric) = 11.21139945635288 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.823405585679111000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6819999999999249 " " y[1] (analytic) = 11.212953794073423 " " y[1] (numeric) = 11.212953794073531 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6636238045221860000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6829999999999248 " " y[1] (analytic) = 11.214508347285973 " " y[1] (numeric) = 11.214508347286081 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 9.6622842346574190000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6839999999999247 " " y[1] (analytic) = 11.216063116020294 " " y[1] (numeric) = 11.216063116020406 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 9.977697140663390000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6849999999999246 " " y[1] (analytic) = 11.217618100306273 " " y[1] (numeric) = 11.217618100306384 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.817959842990960000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6859999999999244 " " y[1] (analytic) = 11.219173300173786 " " y[1] (numeric) = 11.219173300173898 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 9.9749311190765090000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6869999999999243 " " y[1] (analytic) = 11.220728715652728 " " y[1] (numeric) = 11.220728715652838 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.815238103847950000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6879999999999242 " " y[1] (analytic) = 11.222284346772986 " " y[1] (numeric) = 11.222284346773096 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 9.8138775172351640000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 616592319.5352309 " " Order of pole = 35407588678384.29 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6889999999999241 " " y[1] (analytic) = 11.223840193564456 " " y[1] (numeric) = 11.223840193564568 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 9.970783524375480000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.689999999999924 " " y[1] (analytic) = 11.225396256057042 " " y[1] (numeric) = 11.225396256057154 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 9.9694013760833340000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.690999999999924 " " y[1] (analytic) = 11.226952534280645 " " y[1] (numeric) = 11.226952534280759 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0126241949850766000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6919999999999238 " " y[1] (analytic) = 11.228509028265178 " " y[1] (numeric) = 11.228509028265291 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0124838251938496000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6929999999999237 " " y[1] (analytic) = 11.230065738040553 " " y[1] (numeric) = 11.230065738040665 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 9.965256080659610000000000000E-13 "%" Correct digits = 15 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6939999999999236 " " y[1] (analytic) = 11.231622663636681 " " y[1] (numeric) = 11.231622663636795 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0122031439828073000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6949999999999235 " " y[1] (analytic) = 11.233179805083491 " " y[1] (numeric) = 11.233179805083605 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.012062832557598000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6959999999999233 " " y[1] (analytic) = 11.234737162410903 " " y[1] (numeric) = 11.234737162411019 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0277338302789328000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6969999999999232 " " y[1] (analytic) = 11.23629473564885 " " y[1] (numeric) = 11.236294735648965 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0275913659926682000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6979999999999231 " " y[1] (analytic) = 11.237852524827263 " " y[1] (numeric) = 11.237852524827378 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0274489214547783000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.698999999999923 " " y[1] (analytic) = 11.239410529976082 " " y[1] (numeric) = 11.239410529976197 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0273064966625256000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.699999999999923 " " y[1] (analytic) = 11.24096875112525 " " y[1] (numeric) = 11.240968751125363 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0113615671268163000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 893527160.1191843 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7009999999999228 " " y[1] (analytic) = 11.242527188304708 " " y[1] (numeric) = 11.242527188304821 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0112213723608453000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7019999999999227 " " y[1] (analytic) = 11.24408584154441 " " y[1] (numeric) = 11.244085841544523 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0110811970286487000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 543783312.6008989 " " Order of pole = 82617706916247.16 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7029999999999226 " " y[1] (analytic) = 11.24564471087431 " " y[1] (numeric) = 11.245644710874423 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 1.0109410411275324000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7039999999999225 " " y[1] (analytic) = 11.247203796324364 " " y[1] (numeric) = 11.247203796324479 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0265946687900344000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 1263638228.1892664 " " Order of pole = 247853120748764.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7049999999999224 " " y[1] (analytic) = 11.248763097924538 " " y[1] (numeric) = 11.248763097924654 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0264523624141388000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "Complex estimate of poles used for equation 1" Radius of convergence = 430272117.7050112 " " Order of pole = 32328667923741.73 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7059999999999222 " " y[1] (analytic) = 11.250322615704798 " " y[1] (numeric) = 11.250322615704913 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0263100757647284000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7069999999999221 " " y[1] (analytic) = 11.251882349695116 " " y[1] (numeric) = 11.251882349695231 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.0261678088390687000000000000E-12 "%" Correct digits = 14 h = 1.000E-3 " " "NO POLE for equation 1" "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));" Iterations = 708 "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 59 Seconds "Expected Time Remaining "= 0 Years 0 Days 0 Hours 13 Minutes 57 Seconds "Optimized Time Remaining "= 0 Years 0 Days 0 Hours 13 Minutes 54 Seconds "Expected Total Time "= 0 Years 0 Days 0 Hours 16 Minutes 54 Seconds "Time to Timeout " Unknown Percent Done = 17.724999999998047 "%" (%o58) true (%o58) diffeq.max