(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "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 : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, 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_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "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 : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, 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_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), 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) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), 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) 1 (%i5) prog_report(x_start, x_end) := (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)), 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, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (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)), 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, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 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 !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 (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 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 (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) 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, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) 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 : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 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 : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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 : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 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 !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 (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 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 (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) 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, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) 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 : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 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 : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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 : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) 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, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : arctan(array_x ), 1 1 array_tmp1_a1 : sin(array_tmp1 ), array_tmp1_a2 : cos(array_tmp1 ), 1 1 1 1 array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp2 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1 : (- att(1, array_tmp1_a2, array_tmp1, 2) 2 - array_x att(1, array_tmp1_a1, array_tmp1, 2) 1 + ats(2, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(1, array_tmp1_a2, array_tmp1, 1), 1 2 array_tmp1_a2 : - att(1, array_tmp1_a1, array_tmp1, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp2 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1 : (- att(2, array_tmp1_a2, array_tmp1, 2) 3 - array_x att(2, array_tmp1_a1, array_tmp1, 2) 1 + ats(3, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(2, array_tmp1_a2, array_tmp1, 1), 1 3 array_tmp1_a2 : - att(2, array_tmp1_a1, array_tmp1, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp2 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1 : (- att(3, array_tmp1_a2, array_tmp1, 2) 4 - array_x att(3, array_tmp1_a1, array_tmp1, 2) 1 + ats(4, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(3, array_tmp1_a2, array_tmp1, 1), 1 4 array_tmp1_a2 : - att(3, array_tmp1_a1, array_tmp1, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp2 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1 : (- att(4, array_tmp1_a2, array_tmp1, 2) 5 - array_x att(4, array_tmp1_a1, array_tmp1, 2) 1 + ats(5, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(4, array_tmp1_a2, array_tmp1, 1), 1 5 array_tmp1_a2 : - att(4, array_tmp1_a1, array_tmp1, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk (- att(kkk - 1, array_tmp1_a2, array_tmp1, 2) - array_x att(kkk - 1, array_tmp1_a1, array_tmp1, 2) 1 + ats(kkk, array_x, array_tmp1_a2, 2)) /(array_x array_tmp1_a1 + array_tmp1_a2 ), 1 1 1 array_tmp1_a1 : att(kkk - 1, array_tmp1_a2, array_tmp1, 1), kkk array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_tmp1, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : arctan(array_x ), 1 1 array_tmp1_a1 : sin(array_tmp1 ), array_tmp1_a2 : cos(array_tmp1 ), 1 1 1 1 array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp2 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1 : (- att(1, array_tmp1_a2, array_tmp1, 2) 2 - array_x att(1, array_tmp1_a1, array_tmp1, 2) 1 + ats(2, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(1, array_tmp1_a2, array_tmp1, 1), 1 2 array_tmp1_a2 : - att(1, array_tmp1_a1, array_tmp1, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp2 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1 : (- att(2, array_tmp1_a2, array_tmp1, 2) 3 - array_x att(2, array_tmp1_a1, array_tmp1, 2) 1 + ats(3, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(2, array_tmp1_a2, array_tmp1, 1), 1 3 array_tmp1_a2 : - att(2, array_tmp1_a1, array_tmp1, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp2 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1 : (- att(3, array_tmp1_a2, array_tmp1, 2) 4 - array_x att(3, array_tmp1_a1, array_tmp1, 2) 1 + ats(4, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(3, array_tmp1_a2, array_tmp1, 1), 1 4 array_tmp1_a2 : - att(3, array_tmp1_a1, array_tmp1, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp2 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1 : (- att(4, array_tmp1_a2, array_tmp1, 2) 5 - array_x att(4, array_tmp1_a1, array_tmp1, 2) 1 + ats(5, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(4, array_tmp1_a2, array_tmp1, 1), 1 5 array_tmp1_a2 : - att(4, array_tmp1_a1, array_tmp1, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk (- att(kkk - 1, array_tmp1_a2, array_tmp1, 2) - array_x att(kkk - 1, array_tmp1_a1, array_tmp1, 2) 1 + ats(kkk, array_x, array_tmp1_a2, 2)) /(array_x array_tmp1_a1 + array_tmp1_a2 ), 1 1 1 array_tmp1_a1 : att(kkk - 1, array_tmp1_a2, array_tmp1, 1), kkk array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_tmp1, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) 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)) (%o13) 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)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := 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 (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := 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 (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := 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 (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := 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 (%i18) 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)) (%o18) 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)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif 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~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_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 : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_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 : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_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 : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_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 : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) 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 (%o25) 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 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) 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, "")) (%o31) 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, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (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()) (%o34) chk_data() := (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()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) mode_declare(factorial_1, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o39) [factorial_1] (%i40) factorial_1(nnn) := nnn! (%o40) factorial_1(nnn) := nnn! (%i41) mode_declare(factorial_3, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o41) [factorial_3] mmm2! (%i42) factorial_3(mmm2, nnn2) := ----- nnn2! mmm2! (%o42) factorial_3(mmm2, nnn2) := ----- nnn2! (%i43) convfp(mmm) := mmm (%o43) convfp(mmm) := mmm (%i44) convfloat(mmm) := mmm (%o44) convfloat(mmm) := mmm (%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i46) arcsin(x) := asin(x) (%o46) arcsin(x) := asin(x) (%i47) arccos(x) := acos(x) (%o47) arccos(x) := acos(x) (%i48) arctan(x) := atan(x) (%o48) arctan(x) := atan(x) - log(1.0 + x x) (%i49) exact_soln_y(x) := ---------------- + x arctan(x) + 2.0 2.0 - log(1.0 + x x) (%o49) exact_soln_y(x) := ---------------- + x arctan(x) + 2.0 2.0 (%i50) mainprog() := (define_variable(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_h, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(days_in_year, 365.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_last_good_h, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(djd_debug2, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_warned2, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), 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/arctanpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"), 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, "x_end : 5.00 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.0001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_m1, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 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_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_a1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 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 <= 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_complex_pole : 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), 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_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 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_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 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_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term array(array_tmp1_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, 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, x_start : - 1.0, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, 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), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : false, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h 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, term_no - 1 array_y_init glob_h 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(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), 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 (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (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(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 1, 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 -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(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 display_alot(current_iter)), 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 ) = arctan ( x ) ;"), 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, "2012-06-13T12:27:20-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "arctan"), logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"), 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_integer(html_log_file, glob_max_terms), 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_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "arctan diffeq.max"), logitem_str(html_log_file, "\ arctan maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o50) mainprog() := (define_variable(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_h, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(days_in_year, 365.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_last_good_h, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(djd_debug2, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_warned2, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), 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/arctanpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"), 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, "x_end : 5.00 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.0001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_m1, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 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_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_a1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 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 <= 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_complex_pole : 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), 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_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 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_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 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_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term array(array_tmp1_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, 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, x_start : - 1.0, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, 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), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : false, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h 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, term_no - 1 array_y_init glob_h 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(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), 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 (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (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(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 1, 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 -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, 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 calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(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 display_alot(current_iter)), 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 ) = arctan ( x ) ;"), 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, "2012-06-13T12:27:20-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "arctan"), logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"), 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_integer(html_log_file, glob_max_terms), 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_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "arctan diffeq.max"), logitem_str(html_log_file, "\ arctan maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i51) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/arctanpostode.ode#################" "diff ( y , x , 1 ) = arctan ( x ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : -1.0," "x_end : 5.00 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.00001 ," "glob_look_poles : true," "glob_max_iter : 100," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.0001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0" ");" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = -1. " " y[1] (analytic) = 2.4388245731174756 " " y[1] (numeric) = 2.4388245731174756 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = -0.9999 " " y[1] (analytic) = 2.4387460358012194 " " y[1] (numeric) = 2.438746035801219 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.820973579580469300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4113142499232674 " " Order of pole = 0.9048861590865833 " " x[1] = -0.9998 " " y[1] (analytic) = 2.438667503485463 " " y[1] (numeric) = 2.438667503485463 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4112440169163014 " " Order of pole = 0.9048923553774291 " " x[1] = -0.9997 " " y[1] (analytic) = 2.4385889761707067 " " y[1] (numeric) = 2.4385889761707067 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4111737879381823 " " Order of pole = 0.9048985603665098 " " x[1] = -0.9996 " " y[1] (analytic) = 2.4385104538574507 " " y[1] (numeric) = 2.4385104538574507 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4111035629878523 " " Order of pole = 0.9049047740255141 " " x[1] = -0.9995 " " y[1] (analytic) = 2.438431936546195 " " y[1] (numeric) = 2.438431936546195 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4110333420619452 " " Order of pole = 0.9049109962840056 " " x[1] = -0.9994000000000001 " " y[1] (analytic) = 2.4383534242374396 " " y[1] (numeric) = 2.4383534242374396 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4109631251607297 " " Order of pole = 0.9049172271379504 " " x[1] = -0.9993000000000001 " " y[1] (analytic) = 2.438274916931686 " " y[1] (numeric) = 2.4382749169316855 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.821325424652698600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4108929122825618 " " Order of pole = 0.9049234665483468 " " x[1] = -0.9992000000000001 " " y[1] (analytic) = 2.4381964146294335 " " y[1] (numeric) = 2.4381964146294326 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.64276813127507650000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4108227034262493 " " Order of pole = 0.9049297144844584 " " x[1] = -0.9991000000000001 " " y[1] (analytic) = 2.4381179173311818 " " y[1] (numeric) = 2.4381179173311813 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.821442706660277600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4107524985915658 " " Order of pole = 0.9049359709331348 " " x[1] = -0.9990000000000001 " " y[1] (analytic) = 2.4380394250374327 " " y[1] (numeric) = 2.438039425037432 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.82150134772018380000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4106822977751539 " " Order of pole = 0.9049422358241266 " " x[1] = -0.9989000000000001 " " y[1] (analytic) = 2.4379609377486857 " " y[1] (numeric) = 2.4379609377486853 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.821559988816527400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4106121009778851 " " Order of pole = 0.9049485091643916 " " x[1] = -0.9988000000000001 " " y[1] (analytic) = 2.4378824554654424 " " y[1] (numeric) = 2.4378824554654415 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.643237259897149600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410541908196491 " " Order of pole = 0.9049547908851512 " " x[1] = -0.9987000000000001 " " y[1] (analytic) = 2.4378039781882017 " " y[1] (numeric) = 2.4378039781882013 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.821677271115595400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410471719431071 " " Order of pole = 0.9049610809793087 " " x[1] = -0.9986000000000002 " " y[1] (analytic) = 2.437725505917466 " " y[1] (numeric) = 2.437725505917465 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.64347182463371330000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410401534679799 " " Order of pole = 0.9049673794045656 " " x[1] = -0.9985000000000002 " " y[1] (analytic) = 2.437647038653735 " " y[1] (numeric) = 2.437647038653734 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.643589107103253300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410331353941081 " " Order of pole = 0.9049736861227249 " " x[1] = -0.9984000000000002 " " y[1] (analytic) = 2.43756857639751 " " y[1] (numeric) = 2.4375685763975086 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46555958445751800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410261177214411 " " Order of pole = 0.9049800011155931 " " x[1] = -0.9983000000000002 " " y[1] (analytic) = 2.437490119149291 " " y[1] (numeric) = 2.4374901191492895 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46573550835628900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4101910044969461 " " Order of pole = 0.9049863243223513 " " x[1] = -0.9982000000000002 " " y[1] (analytic) = 2.437411666909579 " " y[1] (numeric) = 2.437411666909578 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46591143234899100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410120835788988 " " Order of pole = 0.9049926557393917 " " x[1] = -0.9981000000000002 " " y[1] (analytic) = 2.4373332196788753 " " y[1] (numeric) = 2.437333219678874 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46608735643342800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4100506710885727 " " Order of pole = 0.9049989953218809 " " x[1] = -0.9980000000000002 " " y[1] (analytic) = 2.4372547774576807 " " y[1] (numeric) = 2.4372547774576794 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46626328060740000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4099805103942655 " " Order of pole = 0.9050053430346061 " " x[1] = -0.9979000000000002 " " y[1] (analytic) = 2.4371763402464968 " " y[1] (numeric) = 2.437176340246495 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.28858560649160500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4099103537048931 " " Order of pole = 0.9050116988471455 " " x[1] = -0.9978000000000002 " " y[1] (analytic) = 2.437097908045823 " " y[1] (numeric) = 2.4370979080458213 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.28882017228686100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4098402010190652 " " Order of pole = 0.9050180627251319 " " x[1] = -0.9977000000000003 " " y[1] (analytic) = 2.437019480856161 " " y[1] (numeric) = 2.43701948085616 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.64452736909634800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4097700523348948 " " Order of pole = 0.9050244346250551 " " x[1] = -0.9976000000000003 " " y[1] (analytic) = 2.4369410586780136 " " y[1] (numeric) = 2.436941058678012 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.28928930420616900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4096999076521084 " " Order of pole = 0.9050308145328909 " " x[1] = -0.9975000000000003 " " y[1] (analytic) = 2.4368626415118793 " " y[1] (numeric) = 2.436862641511878 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46714290274326600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4096297669690478 " " Order of pole = 0.9050372024093534 " " x[1] = -0.9974000000000003 " " y[1] (analytic) = 2.436784229358261 " " y[1] (numeric) = 2.43678422935826 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.467318827408232000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40955963028377 " " Order of pole = 0.9050435982099891 " " x[1] = -0.9973000000000003 " " y[1] (analytic) = 2.43670582221766 " " y[1] (numeric) = 2.4367058222176583 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.28999300286309400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.409489497595092 " " Order of pole = 0.9050500019041259 " " x[1] = -0.9972000000000003 " " y[1] (analytic) = 2.436627420090577 " " y[1] (numeric) = 2.4366274200905753 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29022756927777600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4094193689022387 " " Order of pole = 0.9050564134686052 " " x[1] = -0.9971000000000003 " " y[1] (analytic) = 2.4365490229775135 " " y[1] (numeric) = 2.4365490229775117 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29046213578541400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.409349244203071 " " Order of pole = 0.9050628328552914 " " x[1] = -0.9970000000000003 " " y[1] (analytic) = 2.436470630878971 " " y[1] (numeric) = 2.4364706308789694 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29069670238306700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4092791234968858 " " Order of pole = 0.9050692600423798 " " x[1] = -0.9969000000000003 " " y[1] (analytic) = 2.436392243795451 " " y[1] (numeric) = 2.4363922437954497 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.468198451800848000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.409209006782241 " " Order of pole = 0.905075694994439 " " x[1] = -0.9968000000000004 " " y[1] (analytic) = 2.4363138617274553 " " y[1] (numeric) = 2.436313861727454 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.468374376877495000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.409138894057256 " " Order of pole = 0.9050821376681562 " " x[1] = -0.9967000000000004 " " y[1] (analytic) = 2.4362354846754855 " " y[1] (numeric) = 2.4362354846754837 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29140040268671700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4090687853210735 " " Order of pole = 0.9050885880387778 " " x[1] = -0.9966000000000004 " " y[1] (analytic) = 2.4361571126400423 " " y[1] (numeric) = 2.4361571126400405 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29163496961502600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4089986805718648 " " Order of pole = 0.9050950460639147 " " x[1] = -0.9965000000000004 " " y[1] (analytic) = 2.436078745621628 " " y[1] (numeric) = 2.4360787456216264 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29186953661864300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4089285798087166 " " Order of pole = 0.9051015117178327 " " x[1] = -0.9964000000000004 " " y[1] (analytic) = 2.4360003836207444 " " y[1] (numeric) = 2.4360003836207427 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29210410369462200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40885848302997 " " Order of pole = 0.9051079849611465 " " x[1] = -0.9963000000000004 " " y[1] (analytic) = 2.435922026637893 " " y[1] (numeric) = 2.4359220266378916 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.469254003130016000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4087883902345166 " " Order of pole = 0.9051144657646262 " " x[1] = -0.9962000000000004 " " y[1] (analytic) = 2.435843674673576 " " y[1] (numeric) = 2.4358436746735745 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46942992853892000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.408718301420804 " " Order of pole = 0.9051209540908403 " " x[1] = -0.9961000000000004 " " y[1] (analytic) = 2.435765327728296 " " y[1] (numeric) = 2.435765327728294 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.11600975665911500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40864821658721 " " Order of pole = 0.9051274499011317 " " x[1] = -0.9960000000000004 " " y[1] (analytic) = 2.435686985802553 " " y[1] (numeric) = 2.435686985802551 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29304237266327200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4085781357329987 " " Order of pole = 0.9051339531729479 " " x[1] = -0.9959000000000005 " " y[1] (analytic) = 2.4356086488968502 " " y[1] (numeric) = 2.4356086488968485 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29327694005688500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4085080588554426 " " Order of pole = 0.9051404638475482 " " x[1] = -0.9958000000000005 " " y[1] (analytic) = 2.4355303170116893 " " y[1] (numeric) = 2.4355303170116875 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29351150750518400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4084379859550118 " " Order of pole = 0.9051469819242932 " " x[1] = -0.9957000000000005 " " y[1] (analytic) = 2.435451990147573 " " y[1] (numeric) = 2.435451990147571 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29374607500521700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4083679170286298 " " Order of pole = 0.9051535073380599 " " x[1] = -0.9956000000000005 " " y[1] (analytic) = 2.4353736683050022 " " y[1] (numeric) = 2.435373668305001 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.470485481915528000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4082978520762022 " " Order of pole = 0.9051600400779698 " " x[1] = -0.9955000000000005 " " y[1] (analytic) = 2.4352953514844806 " " y[1] (numeric) = 2.435295351484479 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29421521014869200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4082277910952106 " " Order of pole = 0.9051665800890731 " " x[1] = -0.9954000000000005 " " y[1] (analytic) = 2.435217039686509 " " y[1] (numeric) = 2.4352170396865076 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.47083733333967500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4081577340850522 " " Order of pole = 0.9051731273511532 " " x[1] = -0.9953000000000005 " " y[1] (analytic) = 2.4351387329115908 " " y[1] (numeric) = 2.435138732911589 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29468434546370400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4080876810436764 " " Order of pole = 0.9051796818178026 " " x[1] = -0.9952000000000005 " " y[1] (analytic) = 2.4350604311602275 " " y[1] (numeric) = 2.4350604311602257 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29491891317815800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.408017631970339 " " Order of pole = 0.9051862434662539 " " x[1] = -0.9951000000000005 " " y[1] (analytic) = 2.4349821344329214 " " y[1] (numeric) = 2.43498213443292 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.47136511069497900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4079475868633289 " " Order of pole = 0.9051928122562316 " " x[1] = -0.9950000000000006 " " y[1] (analytic) = 2.4349038427301766 " " y[1] (numeric) = 2.4349038427301744 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.11923506088273700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4078775457210493 " " Order of pole = 0.9051993881494997 " " x[1] = -0.9949000000000006 " " y[1] (analytic) = 2.434825556052493 " " y[1] (numeric) = 2.434825556052491 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29562261651386200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4078075085421642 " " Order of pole = 0.905205971112542 " " x[1] = -0.9948000000000006 " " y[1] (analytic) = 2.434747274400375 " " y[1] (numeric) = 2.4347472744003733 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29585718434669200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.407737475325674 " " Order of pole = 0.9052125611180095 " " x[1] = -0.9947000000000006 " " y[1] (analytic) = 2.4346689977743248 " " y[1] (numeric) = 2.434668997774323 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29609175220173100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4076674460693916 " " Order of pole = 0.9052191581169371 " " x[1] = -0.9946000000000006 " " y[1] (analytic) = 2.4345907261748447 " " y[1] (numeric) = 2.434590726174843 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29632632007601800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.407597420772418 " " Order of pole = 0.9052257620837398 " " x[1] = -0.9945000000000006 " " y[1] (analytic) = 2.4345124596024377 " " y[1] (numeric) = 2.4345124596024355 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12070110995824600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.407527399433472 " " Order of pole = 0.9052323729859051 " " x[1] = -0.9944000000000006 " " y[1] (analytic) = 2.4344341980576054 " " y[1] (numeric) = 2.4344341980576036 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.2967954558705100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4074573820504033 " " Order of pole = 0.9052389907751532 " " x[1] = -0.9943000000000006 " " y[1] (analytic) = 2.434355941540853 " " y[1] (numeric) = 2.43435594154085 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09455450356771910000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4073873686225553 " " Order of pole = 0.9052456154302924 " " x[1] = -0.9942000000000006 " " y[1] (analytic) = 2.4342776900526797 " " y[1] (numeric) = 2.4342776900526784 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.47294844377987400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4073173591479338 " " Order of pole = 0.9052522469059099 " " x[1] = -0.9941000000000006 " " y[1] (analytic) = 2.4341994435935925 " " y[1] (numeric) = 2.4341994435935903 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12187394954081200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4072473536254217 " " Order of pole = 0.9052588851723709 " " x[1] = -0.9940000000000007 " " y[1] (analytic) = 2.4341212021640914 " " y[1] (numeric) = 2.4341212021640892 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.1221671594503700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4071773520533126 " " Order of pole = 0.9052655301894781 " " x[1] = -0.9939000000000007 " " y[1] (analytic) = 2.4340429657646805 " " y[1] (numeric) = 2.4340429657646783 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12246036935809100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.407107354430302 " " Order of pole = 0.9052721819242766 " " x[1] = -0.9938000000000007 " " y[1] (analytic) = 2.4339647343958624 " " y[1] (numeric) = 2.4339647343958606 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29820286340821700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.407037360755139 " " Order of pole = 0.9052788403447884 " " x[1] = -0.9937000000000007 " " y[1] (analytic) = 2.4338865080581407 " " y[1] (numeric) = 2.433886508058139 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29843743132256500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4069673710258825 " " Order of pole = 0.9052855054064803 " " x[1] = -0.9936000000000007 " " y[1] (analytic) = 2.4338082867520185 " " y[1] (numeric) = 2.4338082867520163 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.1233399990331900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.406897385241449 " " Order of pole = 0.9052921770803923 " " x[1] = -0.9935000000000007 " " y[1] (analytic) = 2.433730070477998 " " y[1] (numeric) = 2.433730070477996 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29890656711721700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4068274034003605 " " Order of pole = 0.9052988553304271 " " x[1] = -0.9934000000000007 " " y[1] (analytic) = 2.4336518592365834 " " y[1] (numeric) = 2.4336518592365817 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.29914113499158800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4067574255010624 " " Order of pole = 0.9053055401190786 " " x[1] = -0.9933000000000007 " " y[1] (analytic) = 2.433573653028278 " " y[1] (numeric) = 2.433573653028276 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12421962855837900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40668745154222 " " Order of pole = 0.9053122314128004 " " x[1] = -0.9932000000000007 " " y[1] (analytic) = 2.4334954518535845 " " y[1] (numeric) = 2.4334954518535823 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12451283834949200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.406617481522173 " " Order of pole = 0.905318929172175 " " x[1] = -0.9931000000000008 " " y[1] (analytic) = 2.4334172557130067 " " y[1] (numeric) = 2.4334172557130045 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12480604810911600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4065475154397198 " " Order of pole = 0.9053256333660773 " " x[1] = -0.9930000000000008 " " y[1] (analytic) = 2.433339064607048 " " y[1] (numeric) = 2.4333390646070456 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12509925783353900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4064775532929572 " " Order of pole = 0.9053323439506773 " " x[1] = -0.9929000000000008 " " y[1] (analytic) = 2.4332608785362115 " " y[1] (numeric) = 2.4332608785362093 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.1253924675190490000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4064075950803545 " " Order of pole = 0.9053390608888776 " " x[1] = -0.9928000000000008 " " y[1] (analytic) = 2.4331826975010014 " " y[1] (numeric) = 2.433182697500999 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12568567716193500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4063376408012969 " " Order of pole = 0.9053457841601684 " " x[1] = -0.9927000000000008 " " y[1] (analytic) = 2.433104521501921 " " y[1] (numeric) = 2.4331045215019187 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12597888675848200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4062676904533207 " " Order of pole = 0.9053525137105609 " " x[1] = -0.9926000000000008 " " y[1] (analytic) = 2.433026350539473 " " y[1] (numeric) = 2.433026350539471 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.30101767704398500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4061977440357913 " " Order of pole = 0.9053592495191829 " " x[1] = -0.9925000000000008 " " y[1] (analytic) = 2.4329481846141627 " " y[1] (numeric) = 2.4329481846141605 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12656530579770700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.406127801546448 " " Order of pole = 0.9053659915357422 " " x[1] = -0.9924000000000008 " " y[1] (analytic) = 2.4328700237264926 " " y[1] (numeric) = 2.4328700237264904 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12685851523295200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.406057862984493 " " Order of pole = 0.9053727397363467 " " x[1] = -0.9923000000000008 " " y[1] (analytic) = 2.4327918678769676 " " y[1] (numeric) = 2.432791867876965 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09525820695283910000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4059879283478327 " " Order of pole = 0.9053794940737365 " " x[1] = -0.9922000000000009 " " y[1] (analytic) = 2.4327137170660897 " " y[1] (numeric) = 2.4327137170660875 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12744493391611900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.405917997635346 " " Order of pole = 0.9053862545181612 " " x[1] = -0.9921000000000009 " " y[1] (analytic) = 2.4326355712943646 " " y[1] (numeric) = 2.4326355712943624 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12773814315660500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40584807084548 " " Order of pole = 0.905393021032161 " " x[1] = -0.9920000000000009 " " y[1] (analytic) = 2.4325574305622957 " " y[1] (numeric) = 2.432557430562293 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0953637622789680000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4057781479765223 " " Order of pole = 0.90539979357529 " " x[1] = -0.9919000000000009 " " y[1] (analytic) = 2.432479294870386 " " y[1] (numeric) = 2.432479294870384 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.12832456141678600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.405708229027173 " " Order of pole = 0.9054065721146163 " " x[1] = -0.9918000000000009 " " y[1] (analytic) = 2.4324011642191414 " " y[1] (numeric) = 2.4324011642191388 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09543413245148440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4056383139958457 " " Order of pole = 0.905413356611982 " " x[1] = -0.9917000000000009 " " y[1] (analytic) = 2.432323038609064 " " y[1] (numeric) = 2.4323230386090615 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0954693175229320000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4055684028812292 " " Order of pole = 0.9054201470342633 " " x[1] = -0.9916000000000009 " " y[1] (analytic) = 2.43224491804066 " " y[1] (numeric) = 2.4322449180406567 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27808858634789500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4054984956820213 " " Order of pole = 0.9054269433484592 " " x[1] = -0.9915000000000009 " " y[1] (analytic) = 2.4321668025144314 " " y[1] (numeric) = 2.4321668025144283 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.2781296355729670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4054285923957917 " " Order of pole = 0.9054337455011101 " " x[1] = -0.991400000000001 " " y[1] (analytic) = 2.4320886920308835 " " y[1] (numeric) = 2.4320886920308804 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27817068478478180000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.405358693021715 " " Order of pole = 0.9054405534678409 " " x[1] = -0.991300000000001 " " y[1] (analytic) = 2.4320105865905206 " " y[1] (numeric) = 2.4320105865905175 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27821173398281750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.405288797558298 " " Order of pole = 0.9054473672122505 " " x[1] = -0.991200000000001 " " y[1] (analytic) = 2.4319324861938467 " " y[1] (numeric) = 2.4319324861938436 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27825278316655240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.405218906003732 " " Order of pole = 0.9054541866920705 " " x[1] = -0.991100000000001 " " y[1] (analytic) = 2.431854390841367 " " y[1] (numeric) = 2.4318543908413637 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27829383233546480000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.405149018356854 " " Order of pole = 0.9054610118768789 " " x[1] = -0.991000000000001 " " y[1] (analytic) = 2.431776300533585 " " y[1] (numeric) = 2.4317763005335817 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27833488148903270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4050791346158342 " " Order of pole = 0.9054678427240557 " " x[1] = -0.990900000000001 " " y[1] (analytic) = 2.431698215271005 " " y[1] (numeric) = 2.4316982152710023 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09575079768005730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4050092547791897 " " Order of pole = 0.9054746791973187 " " x[1] = -0.990800000000001 " " y[1] (analytic) = 2.431620135054133 " " y[1] (numeric) = 2.4316201350541298 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27841697974804520000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4049393788456797 " " Order of pole = 0.9054815212647753 " " x[1] = -0.990700000000001 " " y[1] (analytic) = 2.431542059883472 " " y[1] (numeric) = 2.4315420598834687 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27845802885244550000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.404869506813308 " " Order of pole = 0.9054883688807944 " " x[1] = -0.990600000000001 " " y[1] (analytic) = 2.431463989759527 " " y[1] (numeric) = 2.431463989759524 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27849907793941150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40479963868095 " " Order of pole = 0.905495222015599 " " x[1] = -0.990500000000001 " " y[1] (analytic) = 2.431385924682803 " " y[1] (numeric) = 2.4313859246828002 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09589153743578940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4047297744469256 " " Order of pole = 0.9055020806292848 " " x[1] = -0.9904000000000011 " " y[1] (analytic) = 2.431307864653805 " " y[1] (numeric) = 2.431307864653802 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09592672233624360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.404659914109735 " " Order of pole = 0.9055089446852307 " " x[1] = -0.9903000000000011 " " y[1] (analytic) = 2.4312298096730367 " " y[1] (numeric) = 2.4312298096730345 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13301589350341700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4045900576673551 " " Order of pole = 0.9055158141373365 " " x[1] = -0.9902000000000011 " " y[1] (analytic) = 2.431151759741004 " " y[1] (numeric) = 2.431151759741002 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13330910073200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4045202051193055 " " Order of pole = 0.9055226889674515 " " x[1] = -0.9901000000000011 " " y[1] (analytic) = 2.431073714858212 " " y[1] (numeric) = 2.4310737148582096 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09603227693808520000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.404450356462861 " " Order of pole = 0.9055295691167426 " " x[1] = -0.9900000000000011 " " y[1] (analytic) = 2.430995675025164 " " y[1] (numeric) = 2.4309956750251622 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.30711641180465300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4043805116974146 " " Order of pole = 0.9055364545647784 " " x[1] = -0.9899000000000011 " " y[1] (analytic) = 2.4309176402423667 " " y[1] (numeric) = 2.430917640242365 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.30735097723485400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4043106708209645 " " Order of pole = 0.9055433452657766 " " x[1] = -0.9898000000000011 " " y[1] (analytic) = 2.4308396105103247 " " y[1] (numeric) = 2.4308396105103225 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13448192817689700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4042408338319883 " " Order of pole = 0.9055502411827465 " " x[1] = -0.9897000000000011 " " y[1] (analytic) = 2.4307615858295426 " " y[1] (numeric) = 2.43076158582954 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0961730161582480000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4041710007288948 " " Order of pole = 0.9055571422773578 " " x[1] = -0.9896000000000011 " " y[1] (analytic) = 2.4306835662005253 " " y[1] (numeric) = 2.4306835662005226 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.096208200915840000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4041011715103926 " " Order of pole = 0.9055640485167356 " " x[1] = -0.9895000000000012 " " y[1] (analytic) = 2.4306055516237786 " " y[1] (numeric) = 2.430605551623776 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09624338565355430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4040313461748137 " " Order of pole = 0.9055709598611976 " " x[1] = -0.9894000000000012 " " y[1] (analytic) = 2.430527542099807 " " y[1] (numeric) = 2.4305275420998047 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13565475309118400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4039615247201374 " " Order of pole = 0.9055778762646511 " " x[1] = -0.9893000000000012 " " y[1] (analytic) = 2.4304495376291166 " " y[1] (numeric) = 2.4304495376291144 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13594795889627800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4038917071455181 " " Order of pole = 0.9055847977022768 " " x[1] = -0.9892000000000012 " " y[1] (analytic) = 2.4303715382122126 " " y[1] (numeric) = 2.4303715382122104 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13624116452449500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4038218934490854 " " Order of pole = 0.9055917241307174 " " x[1] = -0.9891000000000012 " " y[1] (analytic) = 2.4302935438496007 " " y[1] (numeric) = 2.430293543849598 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09638412439664980000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4037520836293367 " " Order of pole = 0.9055986555132538 " " x[1] = -0.9890000000000012 " " y[1] (analytic) = 2.430215554541785 " " y[1] (numeric) = 2.4302155545417827 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13682757523530100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4036822776842515 " " Order of pole = 0.9056055918037753 " " x[1] = -0.9889000000000012 " " y[1] (analytic) = 2.4301375702892716 " " y[1] (numeric) = 2.43013757028927 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.30969662424832100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4036124756129928 " " Order of pole = 0.9056125329776279 " " x[1] = -0.9888000000000012 " " y[1] (analytic) = 2.430059591092567 " " y[1] (numeric) = 2.4300595910925646 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13741398519362900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4035426774133988 " " Order of pole = 0.9056194789861269 " " x[1] = -0.9887000000000012 " " y[1] (analytic) = 2.4299816169521753 " " y[1] (numeric) = 2.429981616952173 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13770718988123900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4034728830843994 " " Order of pole = 0.9056264298004209 " " x[1] = -0.9886000000000013 " " y[1] (analytic) = 2.429903647868603 " " y[1] (numeric) = 2.429903647868601 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13800039436947900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4034030926240981 " " Order of pole = 0.9056333853766247 " " x[1] = -0.9885000000000013 " " y[1] (analytic) = 2.4298256838423558 " " y[1] (numeric) = 2.4298256838423535 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.13829359865459900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4033333060307234 " " Order of pole = 0.9056403456730582 " " x[1] = -0.9884000000000013 " " y[1] (analytic) = 2.4297477248739394 " " y[1] (numeric) = 2.4297477248739368 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0966304163279410000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4032635233031308 " " Order of pole = 0.9056473106595568 " " x[1] = -0.9883000000000013 " " y[1] (analytic) = 2.429669770963859 " " y[1] (numeric) = 2.4296697709638564 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09666560079205530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4031937444396165 " " Order of pole = 0.9056542802957122 " " x[1] = -0.9882000000000013 " " y[1] (analytic) = 2.429591822112621 " " y[1] (numeric) = 2.4295918221126183 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09670078523044360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.403123969438594 " " Order of pole = 0.9056612545432454 " " x[1] = -0.9881000000000013 " " y[1] (analytic) = 2.429513878320731 " " y[1] (numeric) = 2.429513878320728 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09673596964265570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4030541982979412 " " Order of pole = 0.9056682333541648 " " x[1] = -0.9880000000000013 " " y[1] (analytic) = 2.4294359395886946 " " y[1] (numeric) = 2.429435939588692 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09677115402824060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4029844310171538 " " Order of pole = 0.9056752167098452 " " x[1] = -0.9879000000000013 " " y[1] (analytic) = 2.4293580059170186 " " y[1] (numeric) = 2.429358005917016 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09680633838674750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4029146675935271 " " Order of pole = 0.905682204551713 " " x[1] = -0.9878000000000013 " " y[1] (analytic) = 2.4292800773062084 " " y[1] (numeric) = 2.4292800773062058 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09684152271772560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4028449080263088 " " Order of pole = 0.9056891968566063 " " x[1] = -0.9877000000000014 " " y[1] (analytic) = 2.4292021537567705 " " y[1] (numeric) = 2.429202153756768 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09687670702072350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4027751523134797 " " Order of pole = 0.9056961935784145 " " x[1] = -0.9876000000000014 " " y[1] (analytic) = 2.4291242352692106 " " y[1] (numeric) = 2.429124235269208 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09691189129529030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4027054004535724 " " Order of pole = 0.9057031946809726 " " x[1] = -0.9875000000000014 " " y[1] (analytic) = 2.429046321844036 " " y[1] (numeric) = 2.4290463218440324 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.46259610072129930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4026356524448946 " " Order of pole = 0.9057102001241262 " " x[1] = -0.9874000000000014 " " y[1] (analytic) = 2.428968413481751 " " y[1] (numeric) = 2.4289684134817477 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27981263638354580000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4025659082858097 " " Order of pole = 0.9057172098686088 " " x[1] = -0.9873000000000014 " " y[1] (analytic) = 2.428890510182863 " " y[1] (numeric) = 2.42889051018286 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27985368460120500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.402496167974994 " " Order of pole = 0.9057242238808918 " " x[1] = -0.9872000000000014 " " y[1] (analytic) = 2.428812611947878 " " y[1] (numeric) = 2.4288126119478752 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09705262810021850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4024264315104158 " " Order of pole = 0.905731242114646 " " x[1] = -0.9871000000000014 " " y[1] (analytic) = 2.428734718777303 " " y[1] (numeric) = 2.4287347187773 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27993578093016760000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4023566988911087 " " Order of pole = 0.9057382645427818 " " x[1] = -0.9870000000000014 " " y[1] (analytic) = 2.428656830671644 " " y[1] (numeric) = 2.4286568306716405 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.46283066176047580000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40228697011454 " " Order of pole = 0.9057452911098238 " " x[1] = -0.9869000000000014 " " y[1] (analytic) = 2.4285789476314075 " " y[1] (numeric) = 2.428578947631404 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4628775738443510000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.402217245180002 " " Order of pole = 0.9057523217933969 " " x[1] = -0.9868000000000015 " " y[1] (analytic) = 2.428501069657099 " " y[1] (numeric) = 2.4285010696570963 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09719336441412570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.402147524085053 " " Order of pole = 0.9057593565396456 " " x[1] = -0.9867000000000015 " " y[1] (analytic) = 2.428423196749227 " " y[1] (numeric) = 2.428423196749224 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.28009997314790620000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.402077806829002 " " Order of pole = 0.9057663953265376 " " x[1] = -0.9866000000000015 " " y[1] (analytic) = 2.4283453289082972 " " y[1] (numeric) = 2.428345328908294 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.28014102110755870000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4020080934097736 " " Order of pole = 0.9057734381068521 " " x[1] = -0.9865000000000015 " " y[1] (analytic) = 2.428267466134817 " " y[1] (numeric) = 2.428267466134813 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.64594837446488340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4019383838255388 " " Order of pole = 0.9057804848378659 " " x[1] = -0.9864000000000015 " " y[1] (analytic) = 2.428189608429291 " " y[1] (numeric) = 2.4281896084292875 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.46311213361077860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4018686780748901 " " Order of pole = 0.9057875354844995 " " x[1] = -0.9863000000000015 " " y[1] (analytic) = 2.428111755792228 " " y[1] (numeric) = 2.4281117557922243 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.46315904542925170000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4017989761561822 " " Order of pole = 0.9057945900073268 " " x[1] = -0.9862000000000015 " " y[1] (analytic) = 2.4280339082241342 " " y[1] (numeric) = 2.4280339082241302 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6461067018515520000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4017292780678487 " " Order of pole = 0.9058016483683833 " " x[1] = -0.9861000000000015 " " y[1] (analytic) = 2.4279560657255157 " " y[1] (numeric) = 2.427956065725512 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.46325286892655860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4016595838080483 " " Order of pole = 0.9058087105246955 " " x[1] = -0.9860000000000015 " " y[1] (analytic) = 2.427878228296881 " " y[1] (numeric) = 2.427878228296877 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.64621225317970700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4015898933756112 " " Order of pole = 0.9058157764455093 " " x[1] = -0.9859000000000016 " " y[1] (analytic) = 2.427800395938736 " " y[1] (numeric) = 2.427800395938732 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6462650287628589000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4015202067684571 " " Order of pole = 0.9058228460834652 " " x[1] = -0.9858000000000016 " " y[1] (analytic) = 2.4277225686515878 " " y[1] (numeric) = 2.427722568651584 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.46339360381435970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4014505239853188 " " Order of pole = 0.9058299194060044 " " x[1] = -0.9857000000000016 " " y[1] (analytic) = 2.427644746435944 " " y[1] (numeric) = 2.42764474643594 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.64637057976391330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4013808450237921 " " Order of pole = 0.9058369963599624 " " x[1] = -0.9856000000000016 " " y[1] (analytic) = 2.4275669292923117 " " y[1] (numeric) = 2.427566929292307 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.82935928353383960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4013111698833238 " " Order of pole = 0.905844076925705 " " x[1] = -0.9855000000000016 " " y[1] (analytic) = 2.4274891172211968 " " y[1] (numeric) = 2.4274891172211928 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.64647613054010160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.401241498561464 " " Order of pole = 0.905851161049199 " " x[1] = -0.9854000000000016 " " y[1] (analytic) = 2.427411310223108 " " y[1] (numeric) = 2.427411310223104 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.64652890584217060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.401171831057188 " " Order of pole = 0.9058582487022981 " " x[1] = -0.9853000000000016 " " y[1] (analytic) = 2.427333508298552 " " y[1] (numeric) = 2.4273335082985477 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.82953520120664630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4011021673684196 " " Order of pole = 0.9058653398376766 " " x[1] = -0.9852000000000016 " " y[1] (analytic) = 2.4272557114480366 " " y[1] (numeric) = 2.4272557114480318 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01255322433104430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.401032507493576 " " Order of pole = 0.9058724344170823 " " x[1] = -0.9851000000000016 " " y[1] (analytic) = 2.4271779196720678 " " y[1] (numeric) = 2.4271779196720633 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.82965247932900950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.400962851430993 " " Order of pole = 0.9058795324006841 " " x[1] = -0.9850000000000017 " " y[1] (analytic) = 2.427100132971155 " " y[1] (numeric) = 2.42710013297115 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01268223011907550000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4008931991792282 " " Order of pole = 0.9058866337527469 " " x[1] = -0.9849000000000017 " " y[1] (analytic) = 2.427022351345804 " " y[1] (numeric) = 2.427022351345799 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01274673290170820000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4008235507364721 " " Order of pole = 0.9058937384308141 " " x[1] = -0.9848000000000017 " " y[1] (analytic) = 2.426944574796523 " " y[1] (numeric) = 2.426944574796518 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01281123560897530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.400753906101135 " " Order of pole = 0.9059008463964293 " " x[1] = -0.9847000000000017 " " y[1] (analytic) = 2.42686680332382 " " y[1] (numeric) = 2.426866803323815 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01287573824004360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4006842652714897 " " Order of pole = 0.9059079576086528 " " x[1] = -0.9846000000000017 " " y[1] (analytic) = 2.4267890369282017 " " y[1] (numeric) = 2.426789036928197 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01294024079408020000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.400614628245816 " " Order of pole = 0.9059150720266427 " " x[1] = -0.9845000000000017 " " y[1] (analytic) = 2.4267112756101765 " " y[1] (numeric) = 2.4267112756101716 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.0130047432702520000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4005449950228899 " " Order of pole = 0.905922189618563 " " x[1] = -0.9844000000000017 " " y[1] (analytic) = 2.4266335193702515 " " y[1] (numeric) = 2.4266335193702466 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.0130692456677252000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4004753656008737 " " Order of pole = 0.9059293103415129 " " x[1] = -0.9843000000000017 " " y[1] (analytic) = 2.4265557682089347 " " y[1] (numeric) = 2.4265557682089303 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.83012158907787770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.40040573997765 " " Order of pole = 0.9059364341473621 " " x[1] = -0.9842000000000017 " " y[1] (analytic) = 2.4264780221267346 " " y[1] (numeric) = 2.42647802212673 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.8301802274756720000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4003361181519092 " " Order of pole = 0.9059435610027542 " " x[1] = -0.9841000000000018 " " y[1] (analytic) = 2.4264002811241583 " " y[1] (numeric) = 2.426400281124154 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.8302388657996480000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.400266500122208 " " Order of pole = 0.9059506908718884 " " x[1] = -0.9840000000000018 " " y[1] (analytic) = 2.426322545201714 " " y[1] (numeric) = 2.4263225452017094 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.83029750404904630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4001968858864884 " " Order of pole = 0.9059578237077623 " " x[1] = -0.9839000000000018 " " y[1] (analytic) = 2.42624481435991 " " y[1] (numeric) = 2.426244814359905 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01339175644541930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4001272754433816 " " Order of pole = 0.9059649594758827 " " x[1] = -0.9838000000000018 " " y[1] (analytic) = 2.426167088599253 " " y[1] (numeric) = 2.4261670885992483 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.83041478032107630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4000576687909074 " " Order of pole = 0.9059720981307038 " " x[1] = -0.9837000000000018 " " y[1] (analytic) = 2.4260893679202526 " " y[1] (numeric) = 2.4260893679202478 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01352076017640820000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3999880659275297 " " Order of pole = 0.9059792396346822 " " x[1] = -0.9836000000000018 " " y[1] (analytic) = 2.426011652323416 " " y[1] (numeric) = 2.426011652323411 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01358526191425860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3999184668519622 " " Order of pole = 0.9059863839548488 " " x[1] = -0.9835000000000018 " " y[1] (analytic) = 2.4259339418092516 " " y[1] (numeric) = 2.425933941809247 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.83059069415081740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3998488715619457 " " Order of pole = 0.9059935310405347 " " x[1] = -0.9834000000000018 " " y[1] (analytic) = 2.4258562363782685 " " y[1] (numeric) = 2.4258562363782636 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01371426513049320000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.399779280056307 " " Order of pole = 0.9060006808607959 " " x[1] = -0.9833000000000018 " " y[1] (analytic) = 2.425778536030974 " " y[1] (numeric) = 2.425778536030969 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.0137787666072060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3997096923331904 " " Order of pole = 0.9060078333722981 " " x[1] = -0.9832000000000019 " " y[1] (analytic) = 2.4257008407678766 " " y[1] (numeric) = 2.4257008407678717 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01384326799520150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3996401083904895 " " Order of pole = 0.906014988527156 " " x[1] = -0.9831000000000019 " " y[1] (analytic) = 2.4256231505894847 " " y[1] (numeric) = 2.42562315058948 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01390776929364360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3995705282272648 " " Order of pole = 0.9060221462986497 " " x[1] = -0.9830000000000019 " " y[1] (analytic) = 2.4255454654963065 " " y[1] (numeric) = 2.4255454654963016 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01397227050169570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3995009518413506 " " Order of pole = 0.9060293066378033 " " x[1] = -0.9829000000000019 " " y[1] (analytic) = 2.4254677854888502 " " y[1] (numeric) = 2.425467785488846 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.83094251965320170000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.399431379231338 " " Order of pole = 0.9060364695093668 " " x[1] = -0.9828000000000019 " " y[1] (analytic) = 2.425390110567626 " " y[1] (numeric) = 2.425390110567621 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01410127264328330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.399361810395171 " " Order of pole = 0.9060436348663838 " " x[1] = -0.9827000000000019 " " y[1] (analytic) = 2.4253124407331406 " " y[1] (numeric) = 2.4253124407331357 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01416577357514480000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.399292245331586 " " Order of pole = 0.9060508026761909 " " x[1] = -0.9826000000000019 " " y[1] (analytic) = 2.425234775985903 " " y[1] (numeric) = 2.4252347759858983 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.0142302744132690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3992226840385773 " " Order of pole = 0.9060579728927252 " " x[1] = -0.9825000000000019 " " y[1] (analytic) = 2.4251571163264227 " " y[1] (numeric) = 2.425157116326418 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.0142947751568180000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.399153126514702 " " Order of pole = 0.906065145480115 " " x[1] = -0.9824000000000019 " " y[1] (analytic) = 2.4250794617552076 " " y[1] (numeric) = 2.4250794617552027 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01435927580495440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3990835727583146 " " Order of pole = 0.906072320398815 " " x[1] = -0.982300000000002 " " y[1] (analytic) = 2.4250018122727672 " " y[1] (numeric) = 2.425001812272762 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.19755321057109850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3990140227675412 " " Order of pole = 0.9060794976051003 " " x[1] = -0.982200000000002 " " y[1] (analytic) = 2.42492416787961 " " y[1] (numeric) = 2.4249241678796043 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3807588725955708000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3989444765404293 " " Order of pole = 0.9060866770538318 " " x[1] = -0.982100000000002 " " y[1] (analytic) = 2.4248465285762446 " " y[1] (numeric) = 2.424846528576239 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38083510029005460000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3988749340758517 " " Order of pole = 0.9060938587148701 " " x[1] = -0.982000000000002 " " y[1] (analytic) = 2.4247688943631793 " " y[1] (numeric) = 2.424768894363174 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.1977643026472150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.398805395371917 " " Order of pole = 0.9061010425441332 " " x[1] = -0.981900000000002 " " y[1] (analytic) = 2.424691265240925 " " y[1] (numeric) = 2.424691265240919 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38098755532786340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3987358604269513 " " Order of pole = 0.9061082285015836 " " x[1] = -0.981800000000002 " " y[1] (analytic) = 2.4246136412099886 " " y[1] (numeric) = 2.4246136412099832 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.19790503015619100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3986663292390005 " " Order of pole = 0.9061154165420255 " " x[1] = -0.981700000000002 " " y[1] (analytic) = 2.424536022270881 " " y[1] (numeric) = 2.424536022270875 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3811400098908528000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.398596801806657 " " Order of pole = 0.9061226066301966 " " x[1] = -0.981600000000002 " " y[1] (analytic) = 2.4244584084241105 " " y[1] (numeric) = 2.4244584084241043 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5643867167604110000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3985272781281104 " " Order of pole = 0.9061297987234713 " " x[1] = -0.981500000000002 " " y[1] (analytic) = 2.424380799670186 " " y[1] (numeric) = 2.4243807996701796 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56446880735347940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3984577582016962 " " Order of pole = 0.9061369927819936 " " x[1] = -0.981400000000002 " " y[1] (analytic) = 2.4243031960096166 " " y[1] (numeric) = 2.4243031960096104 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56455089781443930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3983882420256357 " " Order of pole = 0.9061441887636921 " " x[1] = -0.9813000000000021 " " y[1] (analytic) = 2.424225597442912 " " y[1] (numeric) = 2.424225597442906 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3814449175606342000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3983187295984463 " " Order of pole = 0.9061513866319295 " " x[1] = -0.9812000000000021 " " y[1] (analytic) = 2.424148003970582 " " y[1] (numeric) = 2.424148003970576 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3815211441689163000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3982492209180357 " " Order of pole = 0.9061585863390142 " " x[1] = -0.9811000000000021 " " y[1] (analytic) = 2.424070415593135 " " y[1] (numeric) = 2.424070415593129 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38159737065154750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3981797159830545 " " Order of pole = 0.9061657878506804 " " x[1] = -0.9810000000000021 " " y[1] (analytic) = 2.423992832311081 " " y[1] (numeric) = 2.4239928323110753 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38167359700753420000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.398110214791672 " " Order of pole = 0.9061729911239791 " " x[1] = -0.9809000000000021 " " y[1] (analytic) = 2.4239152541249296 " " y[1] (numeric) = 2.423915254124924 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38174982323588440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3980407173423437 " " Order of pole = 0.906180196121138 " " x[1] = -0.9808000000000021 " " y[1] (analytic) = 2.42383768103519 " " y[1] (numeric) = 2.423837681035184 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3818260493356022000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3979712236329433 " " Order of pole = 0.9061874027937851 " " x[1] = -0.9807000000000021 " " y[1] (analytic) = 2.4237601130423716 " " y[1] (numeric) = 2.423760113042366 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3819022753056950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3979017336623303 " " Order of pole = 0.9061946111115091 " " x[1] = -0.9806000000000021 " " y[1] (analytic) = 2.4236825501469843 " " y[1] (numeric) = 2.4236825501469785 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38197850114516860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3978322474282758 " " Order of pole = 0.9062018210240161 " " x[1] = -0.9805000000000021 " " y[1] (analytic) = 2.423604992349538 " " y[1] (numeric) = 2.423604992349532 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5652897058417223000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3977627649292086 " " Order of pole = 0.9062090324930949 " " x[1] = -0.9804000000000022 " " y[1] (analytic) = 2.4235274396505417 " " y[1] (numeric) = 2.423527439650536 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38213095242827940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3976932861634483 " " Order of pole = 0.9062162454784559 " " x[1] = -0.9803000000000022 " " y[1] (analytic) = 2.4234498920505056 " " y[1] (numeric) = 2.4234498920505 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38220717786992660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.397623811129579 " " Order of pole = 0.9062234599446075 " " x[1] = -0.9802000000000022 " " y[1] (analytic) = 2.4233723495499397 " " y[1] (numeric) = 2.423372349549934 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3822834031769760000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3975543398256276 " " Order of pole = 0.906230675845995 " " x[1] = -0.9801000000000022 " " y[1] (analytic) = 2.423294812149354 " " y[1] (numeric) = 2.423294812149348 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38235962834843050000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3974848722496904 " " Order of pole = 0.9062378931382504 " " x[1] = -0.9800000000000022 " " y[1] (analytic) = 2.4232172798492577 " " y[1] (numeric) = 2.423217279849252 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3824358533832950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.397415408400304 " " Order of pole = 0.9062451117850578 " " x[1] = -0.9799000000000022 " " y[1] (analytic) = 2.423139752650162 " " y[1] (numeric) = 2.4231397526501555 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7490523980160475000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3973459482758732 " " Order of pole = 0.9062523317476341 " " x[1] = -0.9798000000000022 " " y[1] (analytic) = 2.423062230552575 " " y[1] (numeric) = 2.423062230552569 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56586432634998530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3972764918744363 " " Order of pole = 0.9062595529806394 " " x[1] = -0.9797000000000022 " " y[1] (analytic) = 2.4229847135570086 " " y[1] (numeric) = 2.4229847135570024 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5659464144013450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3972070391941396 " " Order of pole = 0.9062667754406242 " " x[1] = -0.9796000000000022 " " y[1] (analytic) = 2.422907201663972 " " y[1] (numeric) = 2.422907201663966 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56602850230131700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3971375902335814 " " Order of pole = 0.9062739990922903 " " x[1] = -0.9795000000000023 " " y[1] (analytic) = 2.422829694873976 " " y[1] (numeric) = 2.4228296948739696 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5661105900488270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3970681449909843 " " Order of pole = 0.9062812238935951 " " x[1] = -0.9794000000000023 " " y[1] (analytic) = 2.4227521931875295 " " y[1] (numeric) = 2.4227521931875238 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3828932006683160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3969987034645521 " " Order of pole = 0.9062884498021511 " " x[1] = -0.9793000000000023 " " y[1] (analytic) = 2.4226746966051445 " " y[1] (numeric) = 2.4226746966051382 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56627476508216660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.396929265652416 " " Order of pole = 0.9062956767742598 " " x[1] = -0.9792000000000023 " " y[1] (analytic) = 2.42259720512733 " " y[1] (numeric) = 2.4225972051273237 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5663568523658487000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3968598315530487 " " Order of pole = 0.9063029047722893 " " x[1] = -0.9791000000000023 " " y[1] (analytic) = 2.422519718754597 " " y[1] (numeric) = 2.422519718754591 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5664389394927720000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.396790401164715 " " Order of pole = 0.9063101337549853 " " x[1] = -0.9790000000000023 " " y[1] (analytic) = 2.4224422374874557 " " y[1] (numeric) = 2.4224422374874495 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5665210264618630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.396720974485627 " " Order of pole = 0.9063173636800741 " " x[1] = -0.9789000000000023 " " y[1] (analytic) = 2.422364761326417 " " y[1] (numeric) = 2.4223647613264108 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5666031132720450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3966515515141278 " " Order of pole = 0.9063245945076428 " " x[1] = -0.9788000000000023 " " y[1] (analytic) = 2.4222872902719907 " " y[1] (numeric) = 2.4222872902719845 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56668519992224450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3965821322482028 " " Order of pole = 0.9063318261912858 " " x[1] = -0.9787000000000023 " " y[1] (analytic) = 2.4222098243246877 " " y[1] (numeric) = 2.422209824324682 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3834267659534292000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3965127166865625 " " Order of pole = 0.9063390586977889 " " x[1] = -0.9786000000000024 " " y[1] (analytic) = 2.4221323634850194 " " y[1] (numeric) = 2.422132363485013 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.566849372738390000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3964433048274518 " " Order of pole = 0.9063462919854164 " " x[1] = -0.9785000000000024 " " y[1] (analytic) = 2.4220549077534947 " " y[1] (numeric) = 2.422054907753489 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.38357921183774360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.396373896668592 " " Order of pole = 0.9063535260029951 " " x[1] = -0.9784000000000024 " " y[1] (analytic) = 2.4219774571306263 " " y[1] (numeric) = 2.42197745713062 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5670135449016930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3963044922089463 " " Order of pole = 0.9063607607218689 " " x[1] = -0.9783000000000024 " " y[1] (analytic) = 2.4219000116169234 " " y[1] (numeric) = 2.421900011616917 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5670956307358367000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3962350914462756 " " Order of pole = 0.9063679960914985 " " x[1] = -0.9782000000000024 " " y[1] (analytic) = 2.421822571212898 " " y[1] (numeric) = 2.4218225712128914 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7505475532895070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.396165694379014 " " Order of pole = 0.906375232073648 " " x[1] = -0.9781000000000024 " " y[1] (analytic) = 2.4217451359190596 " " y[1] (numeric) = 2.4217451359190534 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5672598019037260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3960963010053988 " " Order of pole = 0.9063824686264486 " " x[1] = -0.9780000000000024 " " y[1] (analytic) = 2.4216677057359206 " " y[1] (numeric) = 2.421667705735914 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.75072345060926700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3960269113238875 " " Order of pole = 0.9063897057120247 " " x[1] = -0.9779000000000024 " " y[1] (analytic) = 2.421590280663991 " " y[1] (numeric) = 2.4215902806639846 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56742397239723400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3959575253322087 " " Order of pole = 0.9063969432792991 " " x[1] = -0.9778000000000024 " " y[1] (analytic) = 2.4215128607037824 " " y[1] (numeric) = 2.4215128607037757 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.75089934720185840000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3958881430293377 " " Order of pole = 0.9064041812997932 " " x[1] = -0.9777000000000025 " " y[1] (analytic) = 2.4214354458558054 " " y[1] (numeric) = 2.4214354458557987 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7509872952225780000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3958187644131683 " " Order of pole = 0.9064114197254156 " " x[1] = -0.9776000000000025 " " y[1] (analytic) = 2.4213580361205715 " " y[1] (numeric) = 2.4213580361205644 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9344802592619090000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3957493894817687 " " Order of pole = 0.9064186585112157 " " x[1] = -0.9775000000000025 " " y[1] (analytic) = 2.4212806314985915 " " y[1] (numeric) = 2.4212806314985844 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9345740700875610000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3956800182339864 " " Order of pole = 0.9064258976263879 " " x[1] = -0.9774000000000025 " " y[1] (analytic) = 2.4212032319903765 " " y[1] (numeric) = 2.42120323199037 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7512511381685684000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3956106506673371 " " Order of pole = 0.9064331370159309 " " x[1] = -0.9773000000000025 " " y[1] (analytic) = 2.4211258375964384 " " y[1] (numeric) = 2.4211258375964317 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7513390854413220000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3955412867804924 " " Order of pole = 0.9064403766458788 " " x[1] = -0.9772000000000025 " " y[1] (analytic) = 2.421048448317288 " " y[1] (numeric) = 2.4210484483172814 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.75142703252419350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3954719265719728 " " Order of pole = 0.9064476164794879 " " x[1] = -0.9771000000000025 " " y[1] (analytic) = 2.420971064153437 " " y[1] (numeric) = 2.4209710641534303 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7515149794160260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3954025700395303 " " Order of pole = 0.9064548564659773 " " x[1] = -0.9770000000000025 " " y[1] (analytic) = 2.420893685105397 " " y[1] (numeric) = 2.42089368510539 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.75160292611566270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3953332171815216 " " Order of pole = 0.9064620965657006 " " x[1] = -0.9769000000000025 " " y[1] (analytic) = 2.4208163111736787 " " y[1] (numeric) = 2.420816311173672 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.75169087262194600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3952638679964053 " " Order of pole = 0.9064693367407379 " " x[1] = -0.9768000000000026 " " y[1] (analytic) = 2.4207389423587937 " " y[1] (numeric) = 2.4207389423587875 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.56832689767147000000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3951945224821745 " " Order of pole = 0.9064765769447565 " " x[1] = -0.9767000000000026 " " y[1] (analytic) = 2.420661578661255 " " y[1] (numeric) = 2.420661578661248 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7518667650498210000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3951251806373735 " " Order of pole = 0.9064838171414031 " " x[1] = -0.9766000000000026 " " y[1] (analytic) = 2.420584220081573 " " y[1] (numeric) = 2.4205842200815657 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93541835836703570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.395055842460252 " " Order of pole = 0.906491057289033 " " x[1] = -0.9765000000000026 " " y[1] (analytic) = 2.4205068666202587 " " y[1] (numeric) = 2.4205068666202516 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9355121671364120000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.394986507948546 " " Order of pole = 0.9064982973365758 " " x[1] = -0.9764000000000026 " " y[1] (analytic) = 2.420429518277825 " " y[1] (numeric) = 2.420429518277818 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93560597569336700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3949171771010844 " " Order of pole = 0.9065055372528708 " " x[1] = -0.9763000000000026 " " y[1] (analytic) = 2.4203521750547834 " " y[1] (numeric) = 2.4203521750547763 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9356997840366660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3948478499160146 " " Order of pole = 0.9065127769943562 " " x[1] = -0.9762000000000026 " " y[1] (analytic) = 2.4202748369516454 " " y[1] (numeric) = 2.4202748369516383 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9357935921650710000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3947785263914438 " " Order of pole = 0.9065200165167333 " " x[1] = -0.9761000000000026 " " y[1] (analytic) = 2.4201975039689234 " " y[1] (numeric) = 2.4201975039689163 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9358874000773450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3947092065254412 " " Order of pole = 0.9065272557750337 " " x[1] = -0.9760000000000026 " " y[1] (analytic) = 2.4201201761071287 " " y[1] (numeric) = 2.4201201761071216 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93598120777225140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3946398903168196 " " Order of pole = 0.90653449473775 " " x[1] = -0.9759000000000027 " " y[1] (analytic) = 2.420042853366774 " " y[1] (numeric) = 2.4200428533667666 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1195797037015870000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3945705777632815 " " Order of pole = 0.9065417333532046 " " x[1] = -0.9758000000000027 " " y[1] (analytic) = 2.41996553574837 " " y[1] (numeric) = 2.4199655357483634 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7526582710984490000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.394501268863365 " " Order of pole = 0.9065489715849662 " " x[1] = -0.9757000000000027 " " y[1] (analytic) = 2.419888223252431 " " y[1] (numeric) = 2.419888223252424 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93626262954038900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3944319636151963 " " Order of pole = 0.9065562093890271 " " x[1] = -0.9756000000000027 " " y[1] (analytic) = 2.4198109158794674 " " y[1] (numeric) = 2.41981091587946 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1198787136255370000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3943626620171068 " " Order of pole = 0.9065634467251567 " " x[1] = -0.9755000000000027 " " y[1] (analytic) = 2.419733613629991 " " y[1] (numeric) = 2.419733613629984 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93645024294294600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.394293364067128 " " Order of pole = 0.9065706835476721 " " x[1] = -0.9754000000000027 " " y[1] (analytic) = 2.4196563165045153 " " y[1] (numeric) = 2.419656316504508 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.936544049307650000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3942240697637376 " " Order of pole = 0.9065779198189432 " " x[1] = -0.9753000000000027 " " y[1] (analytic) = 2.4195790245035527 " " y[1] (numeric) = 2.4195790245035447 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.30371758737710500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.394154779105161 " " Order of pole = 0.9065851554967761 " " x[1] = -0.9752000000000027 " " y[1] (analytic) = 2.419501737627613 " " y[1] (numeric) = 2.419501737627606 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9367316613577080000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3940854920895698 " " Order of pole = 0.9065923905380782 " " x[1] = -0.9751000000000027 " " y[1] (analytic) = 2.419424455877212 " " y[1] (numeric) = 2.4194244558772047 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12037705873061950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.394016208715246 " " Order of pole = 0.9065996249015971 " " x[1] = -0.9750000000000028 " " y[1] (analytic) = 2.4193471792528602 " " y[1] (numeric) = 2.4193471792528527 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1204767270245590000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3939469289803446 " " Order of pole = 0.9066068585438956 " " x[1] = -0.9749000000000028 " " y[1] (analytic) = 2.41926990775507 " " y[1] (numeric) = 2.4192699077550626 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12057639507306600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3938776528833448 " " Order of pole = 0.9066140914274321 " " x[1] = -0.9748000000000028 " " y[1] (analytic) = 2.4191926413843547 " " y[1] (numeric) = 2.419192641384347 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.120676062874820400000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.393808380422129 " " Order of pole = 0.9066213235036837 " " x[1] = -0.9747000000000028 " " y[1] (analytic) = 2.4191153801412266 " " y[1] (numeric) = 2.419115380141219 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1207757304285044000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3937391115952371 " " Order of pole = 0.906628554736205 " " x[1] = -0.9746000000000028 " " y[1] (analytic) = 2.4190381240261982 " " y[1] (numeric) = 2.4190381240261907 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12087539773279850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3936698464008872 " " Order of pole = 0.9066357850826297 " " x[1] = -0.9745000000000028 " " y[1] (analytic) = 2.418960873039781 " " y[1] (numeric) = 2.4189608730397745 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7538015277526940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3936005848371626 " " Order of pole = 0.9066430144981901 " " x[1] = -0.9744000000000028 " " y[1] (analytic) = 2.4188836271824905 " " y[1] (numeric) = 2.4188836271824834 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9374821003180650000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3935313269023328 " " Order of pole = 0.906650242941458 " " x[1] = -0.9743000000000028 " " y[1] (analytic) = 2.4188063864548375 " " y[1] (numeric) = 2.41880638645483 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12117439813615450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.393462072594636 " " Order of pole = 0.9066574703704333 " " x[1] = -0.9742000000000028 " " y[1] (analytic) = 2.4187291508573345 " " y[1] (numeric) = 2.4187291508573274 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9376697076985390000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.393392821912362 " " Order of pole = 0.9066646967440235 " " x[1] = -0.9741000000000029 " " y[1] (analytic) = 2.4186519203904955 " " y[1] (numeric) = 2.4186519203904884 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93776351102800200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3933235748539066 " " Order of pole = 0.9066719220231523 " " x[1] = -0.9740000000000029 " " y[1] (analytic) = 2.4185746950548332 " " y[1] (numeric) = 2.4185746950548257 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1214733962474966000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3932543314172143 " " Order of pole = 0.90667914616043 " " x[1] = -0.9739000000000029 " " y[1] (analytic) = 2.4184974748508594 " " y[1] (numeric) = 2.4184974748508523 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93795111695916430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.39318509160067 " " Order of pole = 0.9066863691165512 " " x[1] = -0.9738000000000029 " " y[1] (analytic) = 2.418420259779089 " " y[1] (numeric) = 2.4184202597790816 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1216727270307750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3931158554025356 " " Order of pole = 0.906693590849903 " " x[1] = -0.9737000000000029 " " y[1] (analytic) = 2.4183430498400336 " " y[1] (numeric) = 2.4183430498400265 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9381387219116850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3930466228210847 " " Order of pole = 0.9067008113191459 " " x[1] = -0.9736000000000029 " " y[1] (analytic) = 2.418265845034207 " " y[1] (numeric) = 2.4182658450342 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9382325240178440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3929773938543082 " " Order of pole = 0.90670803047772 " " x[1] = -0.9735000000000029 " " y[1] (analytic) = 2.418188645362122 " " y[1] (numeric) = 2.418188645362115 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93832632587561000000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3929081685007534 " " Order of pole = 0.9067152482892364 " " x[1] = -0.9734000000000029 " " y[1] (analytic) = 2.4181114508242922 " " y[1] (numeric) = 2.418111450824285 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93842012748373740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3928389467583693 " " Order of pole = 0.9067224647064318 " " x[1] = -0.9733000000000029 " " y[1] (analytic) = 2.418034261421231 " " y[1] (numeric) = 2.4180342614212234 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1221710493935430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.39276972862551 " " Order of pole = 0.9067296796893523 " " x[1] = -0.973200000000003 " " y[1] (analytic) = 2.417957077153451 " " y[1] (numeric) = 2.417957077153443 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.3059336961893590000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3927005141008193 " " Order of pole = 0.9067368932033677 " " x[1] = -0.973100000000003 " " y[1] (analytic) = 2.4178798980214653 " " y[1] (numeric) = 2.417879898021458 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93870153079783800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3926313031819237 " " Order of pole = 0.9067441051952709 " " x[1] = -0.973000000000003 " " y[1] (analytic) = 2.417802724025788 " " y[1] (numeric) = 2.4178027240257816 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.75512062318277400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.392562095867173 " " Order of pole = 0.9067513156250833 " " x[1] = -0.972900000000003 " " y[1] (analytic) = 2.4177255551669337 " " y[1] (numeric) = 2.4177255551669266 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93888913173621200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.392492892154769 " " Order of pole = 0.906758524450046 " " x[1] = -0.972800000000003 " " y[1] (analytic) = 2.417648391445414 " " y[1] (numeric) = 2.417648391445407 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9389829318203520000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3924236920436999 " " Order of pole = 0.9067657316417872 " " x[1] = -0.972700000000003 " " y[1] (analytic) = 2.417571232861744 " " y[1] (numeric) = 2.4175712328617363 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12276902737401440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3923544955311773 " " Order of pole = 0.9067729371395821 " " x[1] = -0.972600000000003 " " y[1] (analytic) = 2.4174940794164357 " " y[1] (numeric) = 2.417494079416428 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12286868941307140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3922853026161608 " " Order of pole = 0.9067801409144636 " " x[1] = -0.972500000000003 " " y[1] (analytic) = 2.417416931110003 " " y[1] (numeric) = 2.417416931109996 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93926433051761970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3922161132960156 " " Order of pole = 0.9067873429085189 " " x[1] = -0.972400000000003 " " y[1] (analytic) = 2.4173397879429612 " " y[1] (numeric) = 2.4173397879429537 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12306801265838430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3921469275698608 " " Order of pole = 0.9067945430956517 " " x[1] = -0.972300000000003 " " y[1] (analytic) = 2.4172626499158225 " " y[1] (numeric) = 2.4172626499158154 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93945192834069450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3920777454358326 " " Order of pole = 0.9068017414319591 " " x[1] = -0.9722000000000031 " " y[1] (analytic) = 2.4171855170291017 " " y[1] (numeric) = 2.4171855170290946 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93954572685595660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3920085668916868 " " Order of pole = 0.9068089378666091 " " x[1] = -0.9721000000000031 " " y[1] (analytic) = 2.417108389283312 " " y[1] (numeric) = 2.417108389283305 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.93963952510537030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3919393919357474 " " Order of pole = 0.9068161323590385 " " x[1] = -0.9720000000000031 " " y[1] (analytic) = 2.4170312666789675 " " y[1] (numeric) = 2.4170312666789604 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9397333230876865000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3918702205669862 " " Order of pole = 0.9068233248805395 " " x[1] = -0.9719000000000031 " " y[1] (analytic) = 2.4169541492165827 " " y[1] (numeric) = 2.416954149216575 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12356631585175960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3918010527828122 " " Order of pole = 0.9068305153739047 " " x[1] = -0.9718000000000031 " " y[1] (analytic) = 2.4168770368966705 " " y[1] (numeric) = 2.416877036896663 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1236659756364060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3917318885816692 " " Order of pole = 0.9068377038008375 " " x[1] = -0.9717000000000031 " " y[1] (analytic) = 2.4167999297197458 " " y[1] (numeric) = 2.4167999297197382 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.12376563513327900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3916627279615934 " " Order of pole = 0.9068448901155008 " " x[1] = -0.9716000000000031 " " y[1] (analytic) = 2.416722827686322 " " y[1] (numeric) = 2.416722827686315 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.9401085123209870000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3915935709212461 " " Order of pole = 0.9068520742835293 " " x[1] = -0.9715000000000031 " " y[1] (analytic) = 2.416645730796915 " " y[1] (numeric) = 2.4166457307969074 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.1239649532583870000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3915244174588275 " " Order of pole = 0.9068592562620879 " " x[1] = -0.9714000000000031 " " y[1] (analytic) = 2.4165686390520373 " " y[1] (numeric) = 2.4165686390520293 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.3078331184653750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3914552675721163 " " Order of pole = 0.9068664360007332 " " x[1] = -0.9713000000000032 " " y[1] (analytic) = 2.4164915524522037 " " y[1] (numeric) = 2.4164915524521953 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49171300788897740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3913861212601277 " " Order of pole = 0.9068736134714968 " " x[1] = -0.9712000000000032 " " y[1] (analytic) = 2.416414470997928 " " y[1] (numeric) = 2.41641447099792 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.308044159328320000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3913169785202661 " " Order of pole = 0.90688078861705 " " x[1] = -0.9711000000000032 " " y[1] (analytic) = 2.416337394689725 " " y[1] (numeric) = 2.416337394689717 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.3081496792907780000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3912478393512393 " " Order of pole = 0.9068879614038377 " " x[1] = -0.9710000000000032 " " y[1] (analytic) = 2.416260323528109 " " y[1] (numeric) = 2.416260323528101 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.30825519893868160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3911787037508576 " " Order of pole = 0.9068951317819529 " " x[1] = -0.9709000000000032 " " y[1] (analytic) = 2.4161832575135955 " " y[1] (numeric) = 2.416183257513587 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49215853595232160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3911095717179758 " " Order of pole = 0.9069022997204694 " " x[1] = -0.9708000000000032 " " y[1] (analytic) = 2.4161061966466977 " " y[1] (numeric) = 2.4161061966466892 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49226991713436600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3910404432505352 " " Order of pole = 0.9069094651718732 " " x[1] = -0.9707000000000032 " " y[1] (analytic) = 2.41602914092793 " " y[1] (numeric) = 2.4160291409279218 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49238129797991740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.390971318346618 " " Order of pole = 0.9069166280911514 " " x[1] = -0.9706000000000032 " " y[1] (analytic) = 2.415952090357808 " " y[1] (numeric) = 2.4159520903578 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.3086772743565690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3909021970045534 " " Order of pole = 0.9069237884378474 " " x[1] = -0.9705000000000032 " " y[1] (analytic) = 2.415875044936846 " " y[1] (numeric) = 2.4158750449368376 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49260405865559230000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.390833079222926 " " Order of pole = 0.9069309461760966 " " x[1] = -0.9704000000000033 " " y[1] (analytic) = 2.4157980046655587 " " y[1] (numeric) = 2.4157980046655503 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49271543848273750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3907639649994403 " " Order of pole = 0.9069381012540241 " " x[1] = -0.9703000000000033 " " y[1] (analytic) = 2.41572096954446 " " y[1] (numeric) = 2.415720969544452 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.3089938275480990000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3906948543322653 " " Order of pole = 0.9069452536282316 " " x[1] = -0.9702000000000033 " " y[1] (analytic) = 2.4156439395740668 " " y[1] (numeric) = 2.4156439395740583 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49293819710819960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3906257472200665 " " Order of pole = 0.9069524032643539 " " x[1] = -0.9701000000000033 " " y[1] (analytic) = 2.4155669147548924 " " y[1] (numeric) = 2.4155669147548835 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.6768942904247750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3905566436611425 " " Order of pole = 0.9069595501212984 " " x[1] = -0.9700000000000033 " " y[1] (analytic) = 2.4154898950874517 " " y[1] (numeric) = 2.415489895087443 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67701153089679660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3904875436532607 " " Order of pole = 0.9069666941483092 " " x[1] = -0.9699000000000033 " " y[1] (analytic) = 2.41541288057226 " " y[1] (numeric) = 2.415412880572251 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67712877100207340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3904184471951926 " " Order of pole = 0.9069738353129662 " " x[1] = -0.9698000000000033 " " y[1] (analytic) = 2.415335871209832 " " y[1] (numeric) = 2.415335871209823 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67724601073903760000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3903493542845748 " " Order of pole = 0.9069809735621206 " " x[1] = -0.9697000000000033 " " y[1] (analytic) = 2.4152588670006834 " " y[1] (numeric) = 2.4152588670006745 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.6773632501061176000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3902802649201107 " " Order of pole = 0.9069881088620466 " " x[1] = -0.9696000000000033 " " y[1] (analytic) = 2.4151818679453285 " " y[1] (numeric) = 2.41518186794532 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49360646464665750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3902111790997438 " " Order of pole = 0.9069952411652284 " " x[1] = -0.9695000000000034 " " y[1] (analytic) = 2.4151048740442835 " " y[1] (numeric) = 2.4151048740442747 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.6775977277243466000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3901420968222142 " " Order of pole = 0.9070023704385832 " " x[1] = -0.9694000000000034 " " y[1] (analytic) = 2.4150278852980627 " " y[1] (numeric) = 2.415027885298054 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67771496597235460000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3900730180851102 " " Order of pole = 0.9070094966280831 " " x[1] = -0.9693000000000034 " " y[1] (analytic) = 2.4149509017071815 " " y[1] (numeric) = 2.4149509017071726 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67783220384419630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3900039428869988 " " Order of pole = 0.9070166196975418 " " x[1] = -0.9692000000000034 " " y[1] (analytic) = 2.4148739232721557 " " y[1] (numeric) = 2.414873923272147 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67794944133829960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3899348712258888 " " Order of pole = 0.9070237396005751 " " x[1] = -0.9691000000000034 " " y[1] (analytic) = 2.4147969499935003 " " y[1] (numeric) = 2.4147969499934914 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67806667845309240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3898658031004367 " " Order of pole = 0.907030856302578 " " x[1] = -0.9690000000000034 " " y[1] (analytic) = 2.414719981871731 " " y[1] (numeric) = 2.414719981871722 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.6781839151870030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3897967385085093 " " Order of pole = 0.9070379697545761 " " x[1] = -0.9689000000000034 " " y[1] (analytic) = 2.4146430189073627 " " y[1] (numeric) = 2.4146430189073538 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67830115153845840000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3897276774484253 " " Order of pole = 0.9070450799158589 " " x[1] = -0.9688000000000034 " " y[1] (analytic) = 2.4145660611009108 " " y[1] (numeric) = 2.4145660611009023 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.49449746813059240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3896586199186294 " " Order of pole = 0.9070521867479293 " " x[1] = -0.9687000000000034 " " y[1] (analytic) = 2.414489108452892 " " y[1] (numeric) = 2.4144891084528832 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67853562308771140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3895895659171644 " " Order of pole = 0.9070592902050123 " " x[1] = -0.9686000000000035 " " y[1] (analytic) = 2.414412160963821 " " y[1] (numeric) = 2.414412160963812 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.6786528582823613000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3895205154422512 " " Order of pole = 0.9070663902445748 " " x[1] = -0.9685000000000035 " " y[1] (analytic) = 2.4143352186342137 " " y[1] (numeric) = 2.4143352186342044 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.86270859774267340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3894514684921873 " " Order of pole = 0.907073486825464 " " x[1] = -0.9684000000000035 " " y[1] (analytic) = 2.414258281464585 " " y[1] (numeric) = 2.4142582814645763 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67888732750383640000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3893824250651987 " " Order of pole = 0.9070805799052426 " " x[1] = -0.9683000000000035 " " y[1] (analytic) = 2.4141813494554523 " " y[1] (numeric) = 2.4141813494554434 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.67900456152751130000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3893133851594444 " " Order of pole = 0.9070876694401768 " " x[1] = -0.9682000000000035 " " y[1] (analytic) = 2.4141044226073305 " " y[1] (numeric) = 2.414104422607321 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8630778849155970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3892443487733341 " " Order of pole = 0.9070947553912276 " " x[1] = -0.9681000000000035 " " y[1] (analytic) = 2.414027500920735 " " y[1] (numeric) = 2.4140275009207257 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.86320097981250440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3891753159051259 " " Order of pole = 0.907101837716425 " " x[1] = -0.9680000000000035 " " y[1] (analytic) = 2.4139505843961824 " " y[1] (numeric) = 2.413950584396173 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8633240742929530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3891062865530792 " " Order of pole = 0.9071089163739785 " " x[1] = -0.9679000000000035 " " y[1] (analytic) = 2.413873673034189 " " y[1] (numeric) = 2.413873673034179 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0474208430388730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3890372607149803 " " Order of pole = 0.9071159913133471 " " x[1] = -0.9678000000000035 " " y[1] (analytic) = 2.4137967668352696 " " y[1] (numeric) = 2.41379676683526 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0475497982834660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.388968238389463 " " Order of pole = 0.9071230624995135 " " x[1] = -0.9677000000000036 " " y[1] (analytic) = 2.413719865799941 " " y[1] (numeric) = 2.4137198657999313 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.04767875308656540000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3888992195748995 " " Order of pole = 0.9071301298926251 " " x[1] = -0.9676000000000036 " " y[1] (analytic) = 2.4136429699287194 " " y[1] (numeric) = 2.4136429699287096 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0478077074464364000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3888302042692628 " " Order of pole = 0.907137193445605 " " x[1] = -0.9675000000000036 " " y[1] (analytic) = 2.4135660792221207 " " y[1] (numeric) = 2.413566079222111 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0479366613613427000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3887611924708008 " " Order of pole = 0.9071442531163374 " " x[1] = -0.9674000000000036 " " y[1] (analytic) = 2.413489193680661 " " y[1] (numeric) = 2.4134891936806513 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0480656148295490000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3886921841779867 " " Order of pole = 0.9071513088668688 " " x[1] = -0.9673000000000036 " " y[1] (analytic) = 2.413412313304857 " " y[1] (numeric) = 2.413412313304847 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0481945678493175000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3886231793889041 " " Order of pole = 0.9071583606520779 " " x[1] = -0.9672000000000036 " " y[1] (analytic) = 2.413335438095224 " " y[1] (numeric) = 2.413335438095215 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8643088149453260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.388554178101818 " " Order of pole = 0.9071654084301493 " " x[1] = -0.9671000000000036 " " y[1] (analytic) = 2.4132585680522807 " " y[1] (numeric) = 2.4132585680522705 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2324730394700760000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.388485180314849 " " Order of pole = 0.9071724521566846 " " x[1] = -0.9670000000000036 " " y[1] (analytic) = 2.4131817031765403 " " y[1] (numeric) = 2.4131817031765306 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0485814242006290000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.388416186026577 " " Order of pole = 0.9071794917955955 " " x[1] = -0.9669000000000036 " " y[1] (analytic) = 2.413104843468522 " " y[1] (numeric) = 2.4131048434685116 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23274266520060500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3883471952348805 " " Order of pole = 0.9071865272980411 " " x[1] = -0.9668000000000037 " " y[1] (analytic) = 2.4130279889287403 " " y[1] (numeric) = 2.4130279889287305 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.04883932616079400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3882782079381135 " " Order of pole = 0.907193558623856 " " x[1] = -0.9667000000000037 " " y[1] (analytic) = 2.4129511395577135 " " y[1] (numeric) = 2.4129511395577032 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23301228901951300000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3882092241345512 " " Order of pole = 0.9072005857313403 " " x[1] = -0.9666000000000037 " " y[1] (analytic) = 2.4128742953559565 " " y[1] (numeric) = 2.4128742953559468 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.04909722628549740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3881402438225725 " " Order of pole = 0.9072076085808334 " " x[1] = -0.9665000000000037 " " y[1] (analytic) = 2.4127974563239873 " " y[1] (numeric) = 2.4127974563239776 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0492261756552017000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.388071267000374 " " Order of pole = 0.9072146271292105 " " x[1] = -0.9664000000000037 " " y[1] (analytic) = 2.412720622462322 " " y[1] (numeric) = 2.412720622462312 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0493551245608210000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3880022936660574 " " Order of pole = 0.9072216413316614 " " x[1] = -0.9663000000000037 " " y[1] (analytic) = 2.4126437937714775 " " y[1] (numeric) = 2.4126437937714678 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.04948407300061430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3879333238180191 " " Order of pole = 0.9072286511488166 " " x[1] = -0.9662000000000037 " " y[1] (analytic) = 2.4125669702519708 " " y[1] (numeric) = 2.412566970251961 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0496130209728410000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.387864357454341 " " Order of pole = 0.9072356565354216 " " x[1] = -0.9661000000000037 " " y[1] (analytic) = 2.412490151904318 " " y[1] (numeric) = 2.4124901519043083 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.04974196847575960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.387795394573475 " " Order of pole = 0.9072426574530876 " " x[1] = -0.9660000000000037 " " y[1] (analytic) = 2.4124133387290367 " " y[1] (numeric) = 2.412413338729027 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0498709155076280000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3877264351737566 " " Order of pole = 0.9072496538612498 " " x[1] = -0.9659000000000038 " " y[1] (analytic) = 2.4123365307266442 " " y[1] (numeric) = 2.412336530726634 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23409076488791670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.387657479252927 " " Order of pole = 0.9072566457084825 " " x[1] = -0.9658000000000038 " " y[1] (analytic) = 2.4122597278976565 " " y[1] (numeric) = 2.4122597278976463 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23422557215811730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3875885268098813 " " Order of pole = 0.9072636329644599 " " x[1] = -0.9657000000000038 " " y[1] (analytic) = 2.4121829302425906 " " y[1] (numeric) = 2.412182930242581 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0502577537595060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3875195778426337 " " Order of pole = 0.9072706155827372 " " x[1] = -0.9656000000000038 " " y[1] (analytic) = 2.412106137761965 " " y[1] (numeric) = 2.412106137761955 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2344951852029150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3874506323491105 " " Order of pole = 0.9072775935152695 " " x[1] = -0.9655000000000038 " " y[1] (analytic) = 2.4120293504562955 " " y[1] (numeric) = 2.4120293504562853 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2346299909738655000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3873816903279563 " " Order of pole = 0.907284566727137 " " x[1] = -0.9654000000000038 " " y[1] (analytic) = 2.4119525683261003 " " y[1] (numeric) = 2.4119525683260896 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.41888500477365200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3873127517773305 " " Order of pole = 0.9072915351745099 " " x[1] = -0.9653000000000038 " " y[1] (analytic) = 2.411875791371896 " " y[1] (numeric) = 2.411875791371885 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.41902567061260630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3872438166953625 " " Order of pole = 0.9072984988130681 " " x[1] = -0.9652000000000038 " " y[1] (analytic) = 2.4117990195942 " " y[1] (numeric) = 2.411799019594189 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4191663359224690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3871748850807575 " " Order of pole = 0.9073054576089312 " " x[1] = -0.9651000000000038 " " y[1] (analytic) = 2.411722252993529 " " y[1] (numeric) = 2.4117222529935187 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23516920900544770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3871059569312398 " " Order of pole = 0.9073124115104179 " " x[1] = -0.9650000000000039 " " y[1] (analytic) = 2.4116454915704018 " " y[1] (numeric) = 2.4116454915703915 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23530401224116500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3870370322451517 " " Order of pole = 0.9073193604770005 " " x[1] = -0.9649000000000039 " " y[1] (analytic) = 2.4115687353253352 " " y[1] (numeric) = 2.411568735325325 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2354388149643610000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.386968111021121 " " Order of pole = 0.907326304473413 " " x[1] = -0.9648000000000039 " " y[1] (analytic) = 2.4114919842588467 " " y[1] (numeric) = 2.4114919842588365 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2355736171732080000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3868991932569328 " " Order of pole = 0.9073332434490258 " " x[1] = -0.9647000000000039 " " y[1] (analytic) = 2.4114152383714536 " " y[1] (numeric) = 2.4114152383714433 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23570841886588060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3868302789513913 " " Order of pole = 0.9073401773717471 " " x[1] = -0.9646000000000039 " " y[1] (analytic) = 2.411338497663673 " " y[1] (numeric) = 2.4113384976636634 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05167612351704950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.386761368102134 " " Order of pole = 0.9073471061882596 " " x[1] = -0.9645000000000039 " " y[1] (analytic) = 2.4112617621360246 " " y[1] (numeric) = 2.4112617621360144 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23597802069539200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.386692460708115 " " Order of pole = 0.9073540298692269 " " x[1] = -0.9644000000000039 " " y[1] (analytic) = 2.4111850317890244 " " y[1] (numeric) = 2.4111850317890138 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4202916391254693000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3866235567670422 " " Order of pole = 0.9073609483625518 " " x[1] = -0.9643000000000039 " " y[1] (analytic) = 2.4111083066231904 " " y[1] (numeric) = 2.4111083066231798 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4204322995877610000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3865546562771423 " " Order of pole = 0.9073678616256728 " " x[1] = -0.9642000000000039 " " y[1] (analytic) = 2.4110315866390404 " " y[1] (numeric) = 2.4110315866390297 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42057295950189940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3864857592374507 " " Order of pole = 0.9073747696306445 " " x[1] = -0.964100000000004 " " y[1] (analytic) = 2.410954871837092 " " y[1] (numeric) = 2.410954871837082 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2365172180798916000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3864168656452078 " " Order of pole = 0.9073816723169088 " " x[1] = -0.964000000000004 " " y[1] (analytic) = 2.4108781622178643 " " y[1] (numeric) = 2.4108781622178537 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42085427767807500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3863479754995205 " " Order of pole = 0.9073885696579111 " " x[1] = -0.963900000000004 " " y[1] (analytic) = 2.410801457781874 " " y[1] (numeric) = 2.4108014577818633 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4209949359362950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.386279088798049 " " Order of pole = 0.9073954616006574 " " x[1] = -0.963800000000004 " " y[1] (analytic) = 2.4107247585296396 " " y[1] (numeric) = 2.410724758529629 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4211355936387220000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3862102055394414 " " Order of pole = 0.9074023481101907 " " x[1] = -0.963700000000004 " " y[1] (analytic) = 2.410648064461679 " " y[1] (numeric) = 2.4106480644616686 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23705640700080270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3861413257219373 " " Order of pole = 0.9074092291441307 " " x[1] = -0.963600000000004 " " y[1] (analytic) = 2.41057137557851 " " y[1] (numeric) = 2.4105713755785 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23719120289486660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3860724493436536 " " Order of pole = 0.9074161046578357 " " x[1] = -0.963500000000004 " " y[1] (analytic) = 2.410494691880652 " " y[1] (numeric) = 2.4104946918806416 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2373259982508010000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3860035764029899 " " Order of pole = 0.9074229746118156 " " x[1] = -0.963400000000004 " " y[1] (analytic) = 2.410418013368622 " " y[1] (numeric) = 2.4104180133686115 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4216982188522863000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3859347068982588 " " Order of pole = 0.9074298389649584 " " x[1] = -0.963300000000004 " " y[1] (analytic) = 2.4103413400429385 " " y[1] (numeric) = 2.410341340042928 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4218388737470830000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3858658408276079 " " Order of pole = 0.9074366976732158 " " x[1] = -0.963200000000004 " " y[1] (analytic) = 2.4102646719041196 " " y[1] (numeric) = 2.4102646719041094 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2377303810715090000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.385796978189496 " " Order of pole = 0.9074435506981153 " " x[1] = -0.9631000000000041 " " y[1] (analytic) = 2.4101880089526846 " " y[1] (numeric) = 2.410188008952674 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42212018183297600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3857281189817625 " " Order of pole = 0.9074503979899688 " " x[1] = -0.9630000000000041 " " y[1] (analytic) = 2.4101113511891508 " " y[1] (numeric) = 2.41011135118914 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4222608350202440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3856592632032656 " " Order of pole = 0.907457239517603 " " x[1] = -0.9629000000000041 " " y[1] (analytic) = 2.410034698614037 " " y[1] (numeric) = 2.410034698614026 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42240148763450970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3855904108520274 " " Order of pole = 0.9074640752346248 " " x[1] = -0.9628000000000041 " " y[1] (analytic) = 2.409958051227861 " " y[1] (numeric) = 2.409958051227851 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2382695505207790000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3855215619262975 " " Order of pole = 0.9074709050987888 " " x[1] = -0.9627000000000041 " " y[1] (analytic) = 2.409881409031143 " " y[1] (numeric) = 2.409881409031133 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23840434150568700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3854527164243673 " " Order of pole = 0.9074777290686065 " " x[1] = -0.9626000000000041 " " y[1] (analytic) = 2.409804772024401 " " y[1] (numeric) = 2.4098047720243905 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42282344202013230000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3853838743446398 " " Order of pole = 0.9074845471045823 " " x[1] = -0.9625000000000041 " " y[1] (analytic) = 2.409728140208153 " " y[1] (numeric) = 2.4097281402081423 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4229640923232320000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3853150356850248 " " Order of pole = 0.9074913591582767 " " x[1] = -0.9624000000000041 " " y[1] (analytic) = 2.409651513582918 " " y[1] (numeric) = 2.4096515135829075 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4231047420437490000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3852462004444728 " " Order of pole = 0.9074981652001561 " " x[1] = -0.9623000000000042 " " y[1] (analytic) = 2.409574892149215 " " y[1] (numeric) = 2.4095748921492044 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4232453911797680000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3851773686207125 " " Order of pole = 0.9075049651784948 " " x[1] = -0.9622000000000042 " " y[1] (analytic) = 2.4094982759075627 " " y[1] (numeric) = 2.409498275907552 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4233860397293717000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3851085402123349 " " Order of pole = 0.9075117590572308 " " x[1] = -0.9621000000000042 " " y[1] (analytic) = 2.4094216648584794 " " y[1] (numeric) = 2.409421664858469 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23921307570353230000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3850397152174285 " " Order of pole = 0.9075185467911275 " " x[1] = -0.9620000000000042 " " y[1] (analytic) = 2.4093450590024847 " " y[1] (numeric) = 2.4093450590024745 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23934786276742500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3849708936342997 " " Order of pole = 0.9075253283389326 " " x[1] = -0.9619000000000042 " " y[1] (analytic) = 2.409268458340098 " " y[1] (numeric) = 2.409268458340087 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4238079818405090000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3849020754615997 " " Order of pole = 0.9075321036656838 " " x[1] = -0.9618000000000042 " " y[1] (analytic) = 2.409191862871836 " " y[1] (numeric) = 2.4091918628718263 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05528624235649700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3848332606971185 " " Order of pole = 0.907538872720691 " " x[1] = -0.9617000000000042 " " y[1] (analytic) = 2.409115272598221 " " y[1] (numeric) = 2.4091152725982106 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23975222054676860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3847644493393962 " " Order of pole = 0.9075456354669793 " " x[1] = -0.9616000000000042 " " y[1] (analytic) = 2.4090386875197694 " " y[1] (numeric) = 2.409038687519759 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.23988700532963950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3846956413867422 " " Order of pole = 0.9075523918633 " " x[1] = -0.9615000000000042 " " y[1] (analytic) = 2.408962107637002 " " y[1] (numeric) = 2.4089621076369916 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24002178953765460000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3846268368372807 " " Order of pole = 0.9075591418651019 " " x[1] = -0.9614000000000043 " " y[1] (analytic) = 2.408885532950437 " " y[1] (numeric) = 2.4088855329504266 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24015657316897330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.384558035689908 " " Order of pole = 0.9075658854418212 " " x[1] = -0.9613000000000043 " " y[1] (analytic) = 2.4088089634605936 " " y[1] (numeric) = 2.408808963460584 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0559308624729830000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3844892379420992 " " Order of pole = 0.9075726225370531 " " x[1] = -0.9612000000000043 " " y[1] (analytic) = 2.4087323991679916 " " y[1] (numeric) = 2.4087323991679823 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.87169343098162140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3844204435924863 " " Order of pole = 0.907579353115441 " " x[1] = -0.9611000000000043 " " y[1] (analytic) = 2.408655840073151 " " y[1] (numeric) = 2.4086558400731413 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05618870664588740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3843516526399477 " " Order of pole = 0.9075860771460995 " " x[1] = -0.9610000000000043 " " y[1] (analytic) = 2.40857928617659 " " y[1] (numeric) = 2.4085792861765802 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05631762789521570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3842828650816232 " " Order of pole = 0.9075927945664937 " " x[1] = -0.9609000000000043 " " y[1] (analytic) = 2.4085027374788286 " " y[1] (numeric) = 2.408502737478819 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0564465485841106000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3842140809169716 " " Order of pole = 0.9075995053563233 " " x[1] = -0.9608000000000043 " " y[1] (analytic) = 2.4084261939803864 " " y[1] (numeric) = 2.408426193980376 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2409652627431194000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3841453001436217 " " Order of pole = 0.9076062094619761 " " x[1] = -0.9607000000000043 " " y[1] (analytic) = 2.408349655681782 " " y[1] (numeric) = 2.4083496556817723 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05670438827354930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3840765227599747 " " Order of pole = 0.9076129068438181 " " x[1] = -0.9606000000000043 " " y[1] (analytic) = 2.4082731225835365 " " y[1] (numeric) = 2.4082731225835263 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24123482123740850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3840077487644862 " " Order of pole = 0.9076195974632881 " " x[1] = -0.9605000000000044 " " y[1] (analytic) = 2.408196594686169 " " y[1] (numeric) = 2.4081965946861583 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4257769734910070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3839389781555869 " " Order of pole = 0.9076262812813489 " " x[1] = -0.9604000000000044 " " y[1] (analytic) = 2.408120071990198 " " y[1] (numeric) = 2.408120071990188 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2415043773585620000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3838702109311558 " " Order of pole = 0.90763295824887 " " x[1] = -0.9603000000000044 " " y[1] (analytic) = 2.408043554496145 " " y[1] (numeric) = 2.4080435544961345 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4260582481995820000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3838014470898756 " " Order of pole = 0.9076396283314097 " " x[1] = -0.9602000000000044 " " y[1] (analytic) = 2.407967042204528 " " y[1] (numeric) = 2.4079670422045183 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05734897756608760000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.38373268663016 " " Order of pole = 0.9076462914895878 " " x[1] = -0.9601000000000044 " " y[1] (analytic) = 2.407890535115869 " " y[1] (numeric) = 2.407890535115859 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2419087070583690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3836639295499902 " " Order of pole = 0.907652947676171 " " x[1] = -0.9600000000000044 " " y[1] (analytic) = 2.407814033230686 " " y[1] (numeric) = 2.407814033230676 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05760680927360700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.383595175847805 " " Order of pole = 0.9076595968522074 " " x[1] = -0.9599000000000044 " " y[1] (analytic) = 2.4077375365495 " " y[1] (numeric) = 2.40773753654949 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0577357242611230000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3835264255219244 " " Order of pole = 0.9076662389766206 " " x[1] = -0.9598000000000044 " " y[1] (analytic) = 2.407661045072831 " " y[1] (numeric) = 2.4076610450728206 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24231303133555060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3834576785707562 " " Order of pole = 0.9076728740099504 " " x[1] = -0.9597000000000044 " " y[1] (analytic) = 2.4075845588011977 " " y[1] (numeric) = 2.407584558801188 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05799355249483350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.383388934992829 " " Order of pole = 0.907679501914858 " " x[1] = -0.9596000000000044 " " y[1] (analytic) = 2.4075080777351223 " " y[1] (numeric) = 2.407508077735112 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2425825778164660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3833201947858336 " " Order of pole = 0.9076861226387951 " " x[1] = -0.9595000000000045 " " y[1] (analytic) = 2.407431601875123 " " y[1] (numeric) = 2.407431601875113 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05825137839499030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.383251457948635 " " Order of pole = 0.9076927361505795 " " x[1] = -0.9594000000000045 " " y[1] (analytic) = 2.4073551312217214 " " y[1] (numeric) = 2.407355131221711 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2428521218503630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3831827244794919 " " Order of pole = 0.9076993424080229 " " x[1] = -0.9593000000000045 " " y[1] (analytic) = 2.4072786657754373 " " y[1] (numeric) = 2.4072786657754266 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4274645839426660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3831139943765498 " " Order of pole = 0.907705941366796 " " x[1] = -0.9592000000000045 " " y[1] (analytic) = 2.4072022055367897 " " y[1] (numeric) = 2.40720220553678 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.058638112838860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3830452676382814 " " Order of pole = 0.9077125329886044 " " x[1] = -0.9591000000000045 " " y[1] (analytic) = 2.4071257505063013 " " y[1] (numeric) = 2.407125750506291 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2432564332806770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3829765442629676 " " Order of pole = 0.9077191172315633 " " x[1] = -0.9590000000000045 " " y[1] (analytic) = 2.407049300684491 " " y[1] (numeric) = 2.4070493006844806 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24339120251790400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.382907824249263 " " Order of pole = 0.9077256940606588 " " x[1] = -0.9589000000000045 " " y[1] (analytic) = 2.4069728560718793 " " y[1] (numeric) = 2.406972856071869 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2435259711322720000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3828391075950432 " " Order of pole = 0.907732263426718 " " x[1] = -0.9588000000000045 " " y[1] (analytic) = 2.4068964166689866 " " y[1] (numeric) = 2.406896416668977 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0591537504644560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3827703942986578 " " Order of pole = 0.9077388252891048 " " x[1] = -0.9587000000000045 " " y[1] (analytic) = 2.406819982476334 " " y[1] (numeric) = 2.4068199824763243 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.05928265837698300000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3827016843589928 " " Order of pole = 0.9077453796169923 " " x[1] = -0.9586000000000046 " " y[1] (analytic) = 2.406743553494442 " " y[1] (numeric) = 2.406743553494432 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0594115656884170000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.382632977773666 " " Order of pole = 0.9077519263564788 " " x[1] = -0.9585000000000046 " " y[1] (analytic) = 2.4066671297238313 " " y[1] (numeric) = 2.406667129723821 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24406503932412000000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3825642745413627 " " Order of pole = 0.907758465473048 " " x[1] = -0.9584000000000046 " " y[1] (analytic) = 2.4065907111650224 " " y[1] (numeric) = 2.4065907111650118 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4287302310919050000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3824955746606973 " " Order of pole = 0.9077649969309292 " " x[1] = -0.9583000000000046 " " y[1] (analytic) = 2.4065142978185357 " " y[1] (numeric) = 2.406514297818525 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42887085527101500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3824268781298263 " " Order of pole = 0.907771520686012 " " x[1] = -0.9582000000000046 " " y[1] (analytic) = 2.4064378896848924 " " y[1] (numeric) = 2.4064378896848817 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4290114787866470000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3823581849468236 " " Order of pole = 0.9077780366926316 " " x[1] = -0.9581000000000046 " " y[1] (analytic) = 2.4063614867646126 " " y[1] (numeric) = 2.4063614867646024 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24460409740199900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3822894951102571 " " Order of pole = 0.9077845449141488 " " x[1] = -0.9580000000000046 " " y[1] (analytic) = 2.406285089058218 " " y[1] (numeric) = 2.406285089058208 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24473886032725200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.382220808618739 " " Order of pole = 0.90779104531474 " " x[1] = -0.9579000000000046 " " y[1] (analytic) = 2.406208696566231 " " y[1] (numeric) = 2.4062086965662197 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6139930680555480000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.382152125470192 " " Order of pole = 0.907797537846001 " " x[1] = -0.9578000000000046 " " y[1] (analytic) = 2.406132309289169 " " y[1] (numeric) = 2.406132309289158 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4295739661756930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3820834456633522 " " Order of pole = 0.9078040224743287 " " x[1] = -0.9577000000000047 " " y[1] (analytic) = 2.4060559272275555 " " y[1] (numeric) = 2.406055927227545 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4297145863448990000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3820147691962479 " " Order of pole = 0.9078104991532427 " " x[1] = -0.9576000000000047 " " y[1] (analytic) = 2.405979550381911 " " y[1] (numeric) = 2.4059795503819004 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4298552058390070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3819460960675995 " " Order of pole = 0.9078169678488663 " " x[1] = -0.9575000000000047 " " y[1] (analytic) = 2.405903178752757 " " y[1] (numeric) = 2.4059031787527463 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.42999582465607940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3818774262752833 " " Order of pole = 0.9078234285119198 " " x[1] = -0.9574000000000047 " " y[1] (analytic) = 2.405826812340614 " " y[1] (numeric) = 2.4058268123406035 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43013644279417750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3818087598179665 " " Order of pole = 0.9078298811075474 " " x[1] = -0.9573000000000047 " " y[1] (analytic) = 2.4057504511460035 " " y[1] (numeric) = 2.4057504511459933 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2456821827408880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3817400966943134 " " Order of pole = 0.9078363256008757 " " x[1] = -0.9572000000000047 " " y[1] (analytic) = 2.4056740951694477 " " y[1] (numeric) = 2.405674095169437 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.430417677025690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3816714369021907 " " Order of pole = 0.9078427619423852 " " x[1] = -0.9571000000000047 " " y[1] (analytic) = 2.4055977444114665 " " y[1] (numeric) = 2.4055977444114562 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24595169756875800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3816027804403952 " " Order of pole = 0.9078491900996362 " " x[1] = -0.9570000000000047 " " y[1] (analytic) = 2.405521398872582 " " y[1] (numeric) = 2.4055213988725717 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24608645399644160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.381534127306666 " " Order of pole = 0.9078556100207926 " " x[1] = -0.9569000000000047 " " y[1] (analytic) = 2.405445058553316 " " y[1] (numeric) = 2.405445058553305 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43083952323214900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3814654775000161 " " Order of pole = 0.9078620216772819 " " x[1] = -0.9568000000000048 " " y[1] (analytic) = 2.405368723454189 " " y[1] (numeric) = 2.405368723454178 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6156043096413070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3813968310185973 " " Order of pole = 0.9078684250248461 " " x[1] = -0.9567000000000048 " " y[1] (analytic) = 2.4052923935757233 " " y[1] (numeric) = 2.4052923935757122 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6157507818610440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.381328187860802 " " Order of pole = 0.9078748200235989 " " x[1] = -0.9566000000000048 " " y[1] (analytic) = 2.40521606891844 " " y[1] (numeric) = 2.405216068918429 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6158972533573395000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3812595480249326 " " Order of pole = 0.9078812066320179 " " x[1] = -0.9565000000000048 " " y[1] (analytic) = 2.405139749482861 " " y[1] (numeric) = 2.40513974948285 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43140197516304570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3811909115095429 " " Order of pole = 0.9078875848131087 " " x[1] = -0.9564000000000048 " " y[1] (analytic) = 2.405063435269508 " " y[1] (numeric) = 2.405063435269497 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6161901941715160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3811222783129813 " " Order of pole = 0.9078939545261804 " " x[1] = -0.9563000000000048 " " y[1] (analytic) = 2.404987126278903 " " y[1] (numeric) = 2.404987126278892 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6163366634853475000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.381053648433396 " " Order of pole = 0.9079003157268684 " " x[1] = -0.9562000000000048 " " y[1] (analytic) = 2.404910822511567 " " y[1] (numeric) = 2.4049108225115563 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4318238067849350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3809850218694935 " " Order of pole = 0.9079066683810044 " " x[1] = -0.9561000000000048 " " y[1] (analytic) = 2.4048345239680224 " " y[1] (numeric) = 2.404834523968012 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4319644159197147000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.380916398619508 " " Order of pole = 0.9079130124458104 " " x[1] = -0.9560000000000048 " " y[1] (analytic) = 2.404758230648791 " " y[1] (numeric) = 2.4047582306487802 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43210502434832840000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3808477786819608 " " Order of pole = 0.9079193478836434 " " x[1] = -0.9559000000000049 " " y[1] (analytic) = 2.404681942554395 " " y[1] (numeric) = 2.404681942554384 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.616922533405029600000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.380779162055032 " " Order of pole = 0.9079256746507749 " " x[1] = -0.9558000000000049 " " y[1] (analytic) = 2.404605659685356 " " y[1] (numeric) = 2.4046056596853447 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6170689990409064000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3807105487372253 " " Order of pole = 0.9079319927092904 " " x[1] = -0.9557000000000049 " " y[1] (analytic) = 2.404529382042196 " " y[1] (numeric) = 2.4045293820421847 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6172154639351115000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3806419387270525 " " Order of pole = 0.9079383020214227 " " x[1] = -0.9556000000000049 " " y[1] (analytic) = 2.404453109625437 " " y[1] (numeric) = 2.404453109625426 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6173619280856176000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3805733320230076 " " Order of pole = 0.9079446025491364 " " x[1] = -0.9555000000000049 " " y[1] (analytic) = 2.4043768424356013 " " y[1] (numeric) = 2.4043768424355902 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6175083914903936000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3805047286231251 " " Order of pole = 0.9079508942458947 " " x[1] = -0.9554000000000049 " " y[1] (analytic) = 2.4043005804732114 " " y[1] (numeric) = 2.4043005804732003 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6176548541474130000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.380436128525867 " " Order of pole = 0.9079571770731167 " " x[1] = -0.9553000000000049 " " y[1] (analytic) = 2.404224323738789 " " y[1] (numeric) = 2.404224323738778 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43308926341245860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.380367531729962 " " Order of pole = 0.9079634509969026 " " x[1] = -0.9552000000000049 " " y[1] (analytic) = 2.4041480722328568 " " y[1] (numeric) = 2.404148072232846 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43322986612165500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3802989382335769 " " Order of pole = 0.9079697159732305 " " x[1] = -0.955100000000005 " " y[1] (analytic) = 2.4040718259559375 " " y[1] (numeric) = 2.4040718259559264 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6180942376116224000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.380230348035412 " " Order of pole = 0.9079759719677849 " " x[1] = -0.955000000000005 " " y[1] (analytic) = 2.403995584908552 " " y[1] (numeric) = 2.4039955849085413 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43351106936701700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3801617611332662 " " Order of pole = 0.9079822189297602 " " x[1] = -0.954900000000005 " " y[1] (analytic) = 2.4039193490912236 " " y[1] (numeric) = 2.4039193490912134 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24891618365348060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3800931775264424 " " Order of pole = 0.9079884568357972 " " x[1] = -0.954800000000005 " " y[1] (analytic) = 2.4038431185044753 " " y[1] (numeric) = 2.403843118504465 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2490509251310880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3800245972126675 " " Order of pole = 0.9079946856338008 " " x[1] = -0.954700000000005 " " y[1] (analytic) = 2.403766893148829 " " y[1] (numeric) = 2.403766893148819 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2491856659076790000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3799560201907952 " " Order of pole = 0.908000905292214 " " x[1] = -0.954600000000005 " " y[1] (analytic) = 2.403690673024808 " " y[1] (numeric) = 2.4036906730247973 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4340734671110080000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3798874464587503 " " Order of pole = 0.9080071157625689 " " x[1] = -0.954500000000005 " " y[1] (analytic) = 2.4036144581329335 " " y[1] (numeric) = 2.4036144581329233 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.24945514535033040000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3798188760155754 " " Order of pole = 0.9080133170167208 " " x[1] = -0.954400000000005 " " y[1] (analytic) = 2.4035382484737293 " " y[1] (numeric) = 2.403538248473719 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2495898840126490000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3797503088591758 " " Order of pole = 0.9080195090058041 " " x[1] = -0.954300000000005 " " y[1] (analytic) = 2.4034620440477177 " " y[1] (numeric) = 2.4034620440477075 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2497246219664670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3796817449880707 " " Order of pole = 0.9080256916921403 " " x[1] = -0.954200000000005 " " y[1] (analytic) = 2.4033858448554213 " " y[1] (numeric) = 2.4033858448554115 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.06508286533122270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3796131844009447 " " Order of pole = 0.9080318650411083 " " x[1] = -0.954100000000005 " " y[1] (analytic) = 2.403309650897364 " " y[1] (numeric) = 2.403309650897354 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2499940957411160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3795446270961766 " " Order of pole = 0.9080380290124683 " " x[1] = -0.9540000000000051 " " y[1] (analytic) = 2.403233462174068 " " y[1] (numeric) = 2.4032334621740574 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4349170416259480000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3794760730722924 " " Order of pole = 0.9080441835686273 " " x[1] = -0.9539000000000051 " " y[1] (analytic) = 2.4031572786860553 " " y[1] (numeric) = 2.403157278686045 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25026356665929530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3794075223275337 " " Order of pole = 0.9080503286668797 " " x[1] = -0.9538000000000051 " " y[1] (analytic) = 2.403081100433851 " " y[1] (numeric) = 2.40308110043384 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43519822717480860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3793389748602778 " " Order of pole = 0.9080564642669007 " " x[1] = -0.9537000000000051 " " y[1] (analytic) = 2.4030049274179754 " " y[1] (numeric) = 2.4030049274179652 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25053303470601700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3792704306692067 " " Order of pole = 0.9080625903340298 " " x[1] = -0.9536000000000051 " " y[1] (analytic) = 2.4029287596389537 " " y[1] (numeric) = 2.4029287596389435 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25066776764789660000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3792018897526255 " " Order of pole = 0.9080687068266293 " " x[1] = -0.9535000000000051 " " y[1] (analytic) = 2.4028525970973083 " " y[1] (numeric) = 2.402852597097298 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2508024998662880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3791333521088704 " " Order of pole = 0.9080748137036689 " " x[1] = -0.9534000000000051 " " y[1] (analytic) = 2.4027764397935623 " " y[1] (numeric) = 2.402776439793552 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2509372313593163000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3790648177368061 " " Order of pole = 0.9080809109337604 " " x[1] = -0.9533000000000051 " " y[1] (analytic) = 2.4027002877282397 " " y[1] (numeric) = 2.402700287728229 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4359011778696740000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.378996286634654 " " Order of pole = 0.9080869984737241 " " x[1] = -0.9532000000000052 " " y[1] (analytic) = 2.4026241409018625 " " y[1] (numeric) = 2.402624140901852 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43604176573402950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3789277588007314 " " Order of pole = 0.9080930762822472 " " x[1] = -0.9531000000000052 " " y[1] (analytic) = 2.402547999314954 " " y[1] (numeric) = 2.402547999314944 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25134142146746050000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3788592342335853 " " Order of pole = 0.9080991443220494 " " x[1] = -0.9530000000000052 " " y[1] (analytic) = 2.402471862968039 " " y[1] (numeric) = 2.402471862968029 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25147615004027260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3787907129319679 " " Order of pole = 0.9081052025596801 " " x[1] = -0.9529000000000052 " " y[1] (analytic) = 2.4023957318616405 " " y[1] (numeric) = 2.40239573186163 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4364635247426130000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3787221948939292 " " Order of pole = 0.9081112509489131 " " x[1] = -0.9528000000000052 " " y[1] (analytic) = 2.402319605996281 " " y[1] (numeric) = 2.4023196059962704 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43660410954411670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.378653680118271 " " Order of pole = 0.9081172894571043 " " x[1] = -0.9527000000000052 " " y[1] (analytic) = 2.4022434853724843 " " y[1] (numeric) = 2.402243485372474 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25188033134271670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3785851686032644 " " Order of pole = 0.90812331804206 " " x[1] = -0.9526000000000052 " " y[1] (analytic) = 2.4021673699907744 " " y[1] (numeric) = 2.4021673699907646 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.06714483709721700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3785166603476797 " " Order of pole = 0.9081293366705996 " " x[1] = -0.9525000000000052 " " y[1] (analytic) = 2.4020912598516753 " " y[1] (numeric) = 2.402091259851665 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25214978184556560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3784481553492631 " " Order of pole = 0.9081353452908889 " " x[1] = -0.9524000000000052 " " y[1] (analytic) = 2.40201515495571 " " y[1] (numeric) = 2.4020151549556994 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4371664410244010000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3783796536074495 " " Order of pole = 0.908141343881919 " " x[1] = -0.9523000000000053 " " y[1] (analytic) = 2.401939055303402 " " y[1] (numeric) = 2.4019390553033917 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25241922937184940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3783111551200355 " " Order of pole = 0.908147332392744 " " x[1] = -0.9522000000000053 " " y[1] (analytic) = 2.4018629608952757 " " y[1] (numeric) = 2.4018629608952655 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2525539520140780000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3782426598856556 " " Order of pole = 0.9081533107877338 " " x[1] = -0.9521000000000053 " " y[1] (analytic) = 2.4017868717318547 " " y[1] (numeric) = 2.4017868717318445 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2526886739065245000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3781741679033055 " " Order of pole = 0.9081592790378306 " " x[1] = -0.9520000000000053 " " y[1] (analytic) = 2.4017107878136623 " " y[1] (numeric) = 2.4017107878136525 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.06791803004524940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3781056791708897 " " Order of pole = 0.9081652370940532 " " x[1] = -0.9519000000000053 " " y[1] (analytic) = 2.4016347091412245 " " y[1] (numeric) = 2.401634709141214 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4378693378447370000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3780371936868947 " " Order of pole = 0.9081711849180714 " " x[1] = -0.9518000000000053 " " y[1] (analytic) = 2.4015586357150616 " " y[1] (numeric) = 2.401558635715052 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0681757552808540000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3779687114502144 " " Order of pole = 0.9081771224789481 " " x[1] = -0.9517000000000053 " " y[1] (analytic) = 2.401482567535701 " " y[1] (numeric) = 2.401482567535691 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2532275539408410000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3779002324590157 " " Order of pole = 0.9081830497325036 " " x[1] = -0.9516000000000053 " " y[1] (analytic) = 2.4014065046036657 " " y[1] (numeric) = 2.401406504603655 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4382910664933634000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3778317567119742 " " Order of pole = 0.9081889666438201 " " x[1] = -0.9515000000000053 " " y[1] (analytic) = 2.401330446919478 " " y[1] (numeric) = 2.4013304469194683 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.06856233769686800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.37776328420784 " " Order of pole = 0.9081948731793421 " " x[1] = -0.9514000000000054 " " y[1] (analytic) = 2.4012543944836655 " " y[1] (numeric) = 2.401254394483655 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4385722149582120000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3776948149443329 " " Order of pole = 0.9082007692867009 " " x[1] = -0.9513000000000054 " " y[1] (analytic) = 2.40117834729675 " " y[1] (numeric) = 2.401178347296739 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4387127879944666000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3776263489207223 " " Order of pole = 0.9082066549418322 " " x[1] = -0.9512000000000054 " " y[1] (analytic) = 2.4011023053592555 " " y[1] (numeric) = 2.4011023053592453 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25390113688771050000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.377557886135231 " " Order of pole = 0.908212530101542 " " x[1] = -0.9511000000000054 " " y[1] (analytic) = 2.4010262686717083 " " y[1] (numeric) = 2.4010262686716977 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4389939316648047000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3774894265864646 " " Order of pole = 0.9082183947295981 " " x[1] = -0.9510000000000054 " " y[1] (analytic) = 2.400950237234631 " " y[1] (numeric) = 2.4009502372346208 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.254170564699330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.377420970272796 " " Order of pole = 0.9082242487855776 " " x[1] = -0.9509000000000054 " " y[1] (analytic) = 2.4008742110485493 " " y[1] (numeric) = 2.4008742110485386 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4392750721191276000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3773525171931555 " " Order of pole = 0.9082300922391511 " " x[1] = -0.9508000000000054 " " y[1] (analytic) = 2.4007981901139863 " " y[1] (numeric) = 2.4007981901139757 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.43941564113536360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.377284067345334 " " Order of pole = 0.9082359250393015 " " x[1] = -0.9507000000000054 " " y[1] (analytic) = 2.4007221744314675 " " y[1] (numeric) = 2.400722174431457 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4395562093416890000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3772156207285677 " " Order of pole = 0.9082417471612363 " " x[1] = -0.9506000000000054 " " y[1] (analytic) = 2.4006461640015173 " " y[1] (numeric) = 2.4006461640015067 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4396967767361350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.377147177341103 " " Order of pole = 0.9082475585622305 " " x[1] = -0.9505000000000055 " " y[1] (analytic) = 2.40057015882466 " " y[1] (numeric) = 2.4005701588246495 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4398373433167310000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3770787371814412 " " Order of pole = 0.9082533592041404 " " x[1] = -0.9504000000000055 " " y[1] (analytic) = 2.4004941589014206 " " y[1] (numeric) = 2.40049415890141 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4399779090815080000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.377010300247971 " " Order of pole = 0.9082591490467848 " " x[1] = -0.9503000000000055 " " y[1] (analytic) = 2.4004181642323235 " " y[1] (numeric) = 2.400418164232313 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44011847402849400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3769418665395683 " " Order of pole = 0.9082649280588413 " " x[1] = -0.9502000000000055 " " y[1] (analytic) = 2.400342174817893 " " y[1] (numeric) = 2.400342174817883 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.07023745164274250000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3768734360545138 " " Order of pole = 0.9082706961981479 " " x[1] = -0.9501000000000055 " " y[1] (analytic) = 2.4002661906586553 " " y[1] (numeric) = 2.400266190658645 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25538295140032330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3768050087918309 " " Order of pole = 0.9082764534361001 " " x[1] = -0.9500000000000055 " " y[1] (analytic) = 2.400190211755134 " " y[1] (numeric) = 2.400190211755124 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2555176571120320000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3767365847494217 " " Order of pole = 0.9082821997236064 " " x[1] = -0.9499000000000055 " " y[1] (analytic) = 2.4001142381078555 " " y[1] (numeric) = 2.400114238107845 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4406807255990915000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3766681639261165 " " Order of pole = 0.9082879350285324 " " x[1] = -0.9498000000000055 " " y[1] (analytic) = 2.400038269717343 " " y[1] (numeric) = 2.4000382697173324 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4408212864275420000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3765997463206436 " " Order of pole = 0.9082936593168558 " " x[1] = -0.9497000000000055 " " y[1] (analytic) = 2.3999623065841225 " " y[1] (numeric) = 2.399962306584112 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4409618464263650000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3765313319313301 " " Order of pole = 0.9082993725472175 " " x[1] = -0.9496000000000056 " " y[1] (analytic) = 2.3998863487087183 " " y[1] (numeric) = 2.399886348708708 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2560564720271893000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3764629207567272 " " Order of pole = 0.9083050746824242 " " x[1] = -0.9495000000000056 " " y[1] (analytic) = 2.3998103960916564 " " y[1] (numeric) = 2.399810396091646 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2561911737636010000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3763945127957644 " " Order of pole = 0.9083107656920699 " " x[1] = -0.9494000000000056 " " y[1] (analytic) = 2.3997344487334615 " " y[1] (numeric) = 2.3997344487334513 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25632587469927770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.376326108046407 " " Order of pole = 0.9083164455282446 " " x[1] = -0.9493000000000056 " " y[1] (analytic) = 2.399658506634659 " " y[1] (numeric) = 2.3996585066346485 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44152407808590440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3762577065075778 " " Order of pole = 0.9083221141604323 " " x[1] = -0.9492000000000056 " " y[1] (analytic) = 2.3995825697957742 " " y[1] (numeric) = 2.3995825697957636 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44166463390697400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3761893081780394 " " Order of pole = 0.9083277715552285 " " x[1] = -0.9491000000000056 " " y[1] (analytic) = 2.399506638217332 " " y[1] (numeric) = 2.3995066382173214 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4418051888865650000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3761209130561185 " " Order of pole = 0.9083334176713294 " " x[1] = -0.9490000000000056 " " y[1] (analytic) = 2.399430711899858 " " y[1] (numeric) = 2.3994307118998472 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4419457430227010000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3760525211403218 " " Order of pole = 0.908339052470577 " " x[1] = -0.9489000000000056 " " y[1] (analytic) = 2.3993547908438773 " " y[1] (numeric) = 2.399354790843867 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2569993673003460000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3759841324294664 " " Order of pole = 0.908344675920592 " " x[1] = -0.9488000000000056 " " y[1] (analytic) = 2.3992788750499163 " " y[1] (numeric) = 2.3992788750499057 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4422268487566970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.375915746921874 " " Order of pole = 0.9083502879798804 " " x[1] = -0.9487000000000056 " " y[1] (analytic) = 2.3992029645184996 " " y[1] (numeric) = 2.399202964518489 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44236740035060140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3758473646162612 " " Order of pole = 0.9083558886142153 " " x[1] = -0.9486000000000057 " " y[1] (analytic) = 2.3991270592501523 " " y[1] (numeric) = 2.399127059250142 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25740345313092500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.375778985511227 " " Order of pole = 0.908361477787162 " " x[1] = -0.9485000000000057 " " y[1] (analytic) = 2.399051159245402 " " y[1] (numeric) = 2.399051159245391 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4426485009823290000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3757106096054024 " " Order of pole = 0.9083670554629055 " " x[1] = -0.9484000000000057 " " y[1] (analytic) = 2.398975264504772 " " y[1] (numeric) = 2.3989752645047617 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25767283959885200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.375642236897468 " " Order of pole = 0.9083726216064818 " " x[1] = -0.9483000000000057 " " y[1] (analytic) = 2.3988993750287895 " " y[1] (numeric) = 2.3988993750287793 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25780753160138750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.375573867386102 " " Order of pole = 0.9083781761829606 " " x[1] = -0.9482000000000057 " " y[1] (analytic) = 2.39882349081798 " " y[1] (numeric) = 2.3988234908179695 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44307014551002240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3755055010691937 " " Order of pole = 0.9083837191429271 " " x[1] = -0.9481000000000057 " " y[1] (analytic) = 2.3987476118728686 " " y[1] (numeric) = 2.3987476118728583 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25807691313410950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3754371379461225 " " Order of pole = 0.9083892504641895 " " x[1] = -0.9480000000000057 " " y[1] (analytic) = 2.3986717381939826 " " y[1] (numeric) = 2.398671738193972 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.443351237558780000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3753687780155002 " " Order of pole = 0.9083947701106201 " " x[1] = -0.9479000000000057 " " y[1] (analytic) = 2.398595869781846 " " y[1] (numeric) = 2.3985958697818357 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25834629135770860000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3753004212755067 " " Order of pole = 0.9084002780380622 " " x[1] = -0.9478000000000057 " " y[1] (analytic) = 2.398520006636986 " " y[1] (numeric) = 2.398520006636976 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25848097922383800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3752320677248566 " " Order of pole = 0.9084057742122198 " " x[1] = -0.9477000000000058 " " y[1] (analytic) = 2.398444148759929 " " y[1] (numeric) = 2.398444148759918 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4437728691377270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3751637173625493 " " Order of pole = 0.9084112586039446 " " x[1] = -0.9476000000000058 " " y[1] (analytic) = 2.3983682961511996 " " y[1] (numeric) = 2.398368296151189 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44391341125766100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3750953701866238 " " Order of pole = 0.9084167311665947 " " x[1] = -0.9475000000000058 " " y[1] (analytic) = 2.3982924488113246 " " y[1] (numeric) = 2.3982924488113144 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25888503781674870000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.375027026196445 " " Order of pole = 0.9084221918776798 " " x[1] = -0.9474000000000058 " " y[1] (analytic) = 2.3982166067408315 " " y[1] (numeric) = 2.3982166067408204 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6293692634125566000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.374958685389881 " " Order of pole = 0.9084276406874068 " " x[1] = -0.9473000000000058 " " y[1] (analytic) = 2.3981407699402433 " " y[1] (numeric) = 2.398140769940233 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.25915440602177560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3748903477659487 " " Order of pole = 0.9084330775669756 " " x[1] = -0.9472000000000058 " " y[1] (analytic) = 2.39806493841009 " " y[1] (numeric) = 2.3980649384100787 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6296620531103350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3748220133231945 " " Order of pole = 0.9084385024789245 " " x[1] = -0.9471000000000058 " " y[1] (analytic) = 2.3979891121508947 " " y[1] (numeric) = 2.397989112150884 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4446161087201940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3747536820604538 " " Order of pole = 0.9084439153911568 " " x[1] = -0.9470000000000058 " " y[1] (analytic) = 2.397913291163186 " " y[1] (numeric) = 2.397913291163175 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6299548391368510000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3746853539761756 " " Order of pole = 0.908449316264452 " " x[1] = -0.9469000000000058 " " y[1] (analytic) = 2.397837475447489 " " y[1] (numeric) = 2.397837475447478 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6301012307682140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3746170290690947 " " Order of pole = 0.9084547050648304 " " x[1] = -0.9468000000000059 " " y[1] (analytic) = 2.3977616650043303 " " y[1] (numeric) = 2.397761665004319 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6302476214755545000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3745487073377254 " " Order of pole = 0.9084600817542228 " " x[1] = -0.9467000000000059 " " y[1] (analytic) = 2.3976858598342363 " " y[1] (numeric) = 2.3976858598342257 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44517825080653100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3744803887809907 " " Order of pole = 0.9084654463021344 " " x[1] = -0.9466000000000059 " " y[1] (analytic) = 2.397610059937735 " " y[1] (numeric) = 2.397610059937724 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6305404001098850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3744120733973142 " " Order of pole = 0.9084707986688674 " " x[1] = -0.9465000000000059 " " y[1] (analytic) = 2.3975342653153513 " " y[1] (numeric) = 2.39753426531534 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6306867880327346000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3743437611852372 " " Order of pole = 0.9084761388169174 " " x[1] = -0.9464000000000059 " " y[1] (analytic) = 2.3974584759676123 " " y[1] (numeric) = 2.397458475967601 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6308331750232770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.374275452143865 " " Order of pole = 0.9084814667189658 " " x[1] = -0.9463000000000059 " " y[1] (analytic) = 2.3973826918950456 " " y[1] (numeric) = 2.397382691895034 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.8162187435226184000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3742071462716494 " " Order of pole = 0.9084867823359399 " " x[1] = -0.9462000000000059 " " y[1] (analytic) = 2.397306913098176 " " y[1] (numeric) = 2.397306913098165 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6311259461991544000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3741388435670618 " " Order of pole = 0.9084920856289447 " " x[1] = -0.9461000000000059 " " y[1] (analytic) = 2.3972311395775323 " " y[1] (numeric) = 2.397231139577521 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6312723303803440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3740705440290895 " " Order of pole = 0.9084973765686186 " " x[1] = -0.946000000000006 " " y[1] (analytic) = 2.39715537133364 " " y[1] (numeric) = 2.3971553713336293 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4461619650760986000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3740022476565374 " " Order of pole = 0.9085026551221862 " " x[1] = -0.945900000000006 " " y[1] (analytic) = 2.397079608367027 " " y[1] (numeric) = 2.397079608367016 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6315650959188565000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3739339544471327 " " Order of pole = 0.9085079212372644 " " x[1] = -0.945800000000006 " " y[1] (analytic) = 2.397003850678219 " " y[1] (numeric) = 2.3970038506782085 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44644301818115150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3738656644010172 " " Order of pole = 0.9085131749055293 " " x[1] = -0.945700000000006 " " y[1] (analytic) = 2.3969280982677446 " " y[1] (numeric) = 2.396928098267734 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44658354337125140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.373797377515626 " " Order of pole = 0.908518416069203 " " x[1] = -0.945600000000006 " " y[1] (analytic) = 2.3968523511361295 " " y[1] (numeric) = 2.396852351136119 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4467240676504120000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.373729093790378 " " Order of pole = 0.9085236447067615 " " x[1] = -0.945500000000006 " " y[1] (analytic) = 2.3967766092839016 " " y[1] (numeric) = 2.3967766092838905 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6321506156423314000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.373660813223645 " " Order of pole = 0.9085288607775244 " " x[1] = -0.945400000000006 " " y[1] (analytic) = 2.3967008727115875 " " y[1] (numeric) = 2.3967008727115764 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6322969931957710000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3735925358141556 " " Order of pole = 0.9085340642473909 " " x[1] = -0.945300000000006 " " y[1] (analytic) = 2.396625141419714 " " y[1] (numeric) = 2.3966251414197033 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44714563500232140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3735242615609444 " " Order of pole = 0.9085392550877316 " " x[1] = -0.945200000000006 " " y[1] (analytic) = 2.396549415408809 " " y[1] (numeric) = 2.3965494154087987 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26198256580038100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.37345599046205 " " Order of pole = 0.9085444332518424 " " x[1] = -0.945100000000006 " " y[1] (analytic) = 2.3964736946794005 " " y[1] (numeric) = 2.39647369467939 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4474266753123470000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3733877225172675 " " Order of pole = 0.9085495987250383 " " x[1] = -0.9450000000000061 " " y[1] (analytic) = 2.3963979792320145 " " y[1] (numeric) = 2.396397979232004 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44756719408400170000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3733194577241346 " " Order of pole = 0.9085547514513941 " " x[1] = -0.9449000000000061 " " y[1] (analytic) = 2.396322269067179 " " y[1] (numeric) = 2.396322269067168 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44770771193075730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3732511960820404 " " Order of pole = 0.9085598914088262 " " x[1] = -0.9448000000000061 " " y[1] (analytic) = 2.396246564185421 " " y[1] (numeric) = 2.3962465641854105 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44784822885061770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.373182937589395 " " Order of pole = 0.9085650185573417 " " x[1] = -0.9447000000000061 " " y[1] (analytic) = 2.3961708645872686 " " y[1] (numeric) = 2.3961708645872584 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26265588047318700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3731146822452092 " " Order of pole = 0.9085701328679363 " " x[1] = -0.9446000000000061 " " y[1] (analytic) = 2.396095170273249 " " y[1] (numeric) = 2.396095170273239 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2627905407390960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3730464300480585 " " Order of pole = 0.9085752343036422 " " x[1] = -0.9445000000000061 " " y[1] (analytic) = 2.39601948124389 " " y[1] (numeric) = 2.3960194812438798 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26292520011099000000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.372978180996792 " " Order of pole = 0.9085803228324636 " " x[1] = -0.9444000000000061 " " y[1] (analytic) = 2.3959437974997195 " " y[1] (numeric) = 2.395943797499709 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44841028722116700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.372909935090133 " " Order of pole = 0.9085853984201631 " " x[1] = -0.9443000000000061 " " y[1] (analytic) = 2.3958681190412645 " " y[1] (numeric) = 2.395868119041254 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4485507994765950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3728416923265527 " " Order of pole = 0.9085904610278259 " " x[1] = -0.9442000000000061 " " y[1] (analytic) = 2.3957924458690525 " " y[1] (numeric) = 2.3957924458690423 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26332917284342750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.372773452704952 " " Order of pole = 0.9085955106244334 " " x[1] = -0.9441000000000062 " " y[1] (analytic) = 2.395716777983613 " " y[1] (numeric) = 2.3957167779836017 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6341998137175070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3727052162243585 " " Order of pole = 0.908600547181253 " " x[1] = -0.9440000000000062 " " y[1] (analytic) = 2.395641115385471 " " y[1] (numeric) = 2.3956411153854607 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2635984834931950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3726369828831477 " " Order of pole = 0.9086055706576754 " " x[1] = -0.9439000000000062 " " y[1] (analytic) = 2.3955654580751573 " " y[1] (numeric) = 2.3955654580751466 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.44911283908950100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3725687526800616 " " Order of pole = 0.9086105810197047 " " x[1] = -0.9438000000000062 " " y[1] (analytic) = 2.395489806053197 " " y[1] (numeric) = 2.3954898060531873 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0784822344113180000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3725005256142844 " " Order of pole = 0.9086155782415091 " " x[1] = -0.9437000000000062 " " y[1] (analytic) = 2.3954141593201213 " " y[1] (numeric) = 2.395414159320111 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2640024426717277000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3724323016842903 " " Order of pole = 0.9086205622842307 " " x[1] = -0.9436000000000062 " " y[1] (analytic) = 2.3953385178764557 " " y[1] (numeric) = 2.3953385178764455 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26413709391127050000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3723640808888036 " " Order of pole = 0.9086255331135806 " " x[1] = -0.9435000000000062 " " y[1] (analytic) = 2.3952628817227293 " " y[1] (numeric) = 2.395262881722719 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2642717442376320000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3722958632265212 " " Order of pole = 0.908630490694776 " " x[1] = -0.9434000000000062 " " y[1] (analytic) = 2.39518725085947 " " y[1] (numeric) = 2.39518725085946 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26440639364889350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3722276486965905 " " Order of pole = 0.9086354350012744 " " x[1] = -0.9433000000000062 " " y[1] (analytic) = 2.395111625287206 " " y[1] (numeric) = 2.395111625287196 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2645410421431350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.37215943729748 " " Order of pole = 0.9086403659941187 " " x[1] = -0.9432000000000063 " " y[1] (analytic) = 2.3950360050064665 " " y[1] (numeric) = 2.3950360050064554 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6355170540417780000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3720912290281913 " " Order of pole = 0.9086452836440646 " " x[1] = -0.9431000000000063 " " y[1] (analytic) = 2.3949603900177774 " " y[1] (numeric) = 2.3949603900177667 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4502368727369180000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3720230238872733 " " Order of pole = 0.9086501879136346 " " x[1] = -0.9430000000000063 " " y[1] (analytic) = 2.394884780321669 " " y[1] (numeric) = 2.394884780321658 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4503773726308266000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.371954821873572 " " Order of pole = 0.908655078770753 " " x[1] = -0.9429000000000063 " " y[1] (analytic) = 2.394809175918669 " " y[1] (numeric) = 2.3948091759186583 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4505178715598290000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3718866229857865 " " Order of pole = 0.908659956180621 " " x[1] = -0.9428000000000063 " " y[1] (analytic) = 2.3947335768093065 " " y[1] (numeric) = 2.3947335768092954 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6361024682519997000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3718184272232208 " " Order of pole = 0.9086648201195668 " " x[1] = -0.9427000000000063 " " y[1] (analytic) = 2.3946579829941093 " " y[1] (numeric) = 2.394657982994098 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6362488192865564000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3717502345840793 " " Order of pole = 0.9086696705437873 " " x[1] = -0.9426000000000063 " " y[1] (analytic) = 2.394582394473605 " " y[1] (numeric) = 2.394582394473595 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2654835557649580000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.371682045067575 " " Order of pole = 0.9086745074279161 " " x[1] = -0.9425000000000063 " " y[1] (analytic) = 2.3945068112483243 " " y[1] (numeric) = 2.394506811248314 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2656181968538920000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3716138586721545 " " Order of pole = 0.908679330732518 " " x[1] = -0.9424000000000063 " " y[1] (analytic) = 2.394431233318795 " " y[1] (numeric) = 2.3944312333187843 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4512203516610560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.371545675397046 " " Order of pole = 0.9086841404325448 " " x[1] = -0.9423000000000064 " " y[1] (analytic) = 2.3943556606855445 " " y[1] (numeric) = 2.3943556606855343 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2658874762268960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3714774952409627 " " Order of pole = 0.908688936493423 " " x[1] = -0.9422000000000064 " " y[1] (analytic) = 2.3942800933491033 " " y[1] (numeric) = 2.394280093349093 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26602211450711750000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3714093182024498 " " Order of pole = 0.9086937188775881 " " x[1] = -0.9421000000000064 " " y[1] (analytic) = 2.3942045313099993 " " y[1] (numeric) = 2.394204531309989 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.26615675184725260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3713411442803596 " " Order of pole = 0.9086984875530462 " " x[1] = -0.9420000000000064 " " y[1] (analytic) = 2.394128974568761 " " y[1] (numeric) = 2.3941289745687513 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08080045832166450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3712729734737001 " " Order of pole = 0.9087032424906987 " " x[1] = -0.9419000000000064 " " y[1] (analytic) = 2.3940534231259187 " " y[1] (numeric) = 2.3940534231259085 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2664260236995627000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.371204805781514 " " Order of pole = 0.9087079836619871 " " x[1] = -0.9418000000000064 " " y[1] (analytic) = 2.3939778769819995 " " y[1] (numeric) = 2.3939778769819897 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08105802089450100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3711366412023147 " " Order of pole = 0.9087127110287554 " " x[1] = -0.9417000000000064 " " y[1] (analytic) = 2.3939023361375336 " " y[1] (numeric) = 2.393902336137524 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08118680082196870000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.371068479734917 " " Order of pole = 0.9087174245583043 " " x[1] = -0.9416000000000064 " " y[1] (analytic) = 2.3938268005930494 " " y[1] (numeric) = 2.3938268005930396 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08131557984101200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.371000321378447 " " Order of pole = 0.9087221242236261 " " x[1] = -0.9415000000000064 " " y[1] (analytic) = 2.3937512703490764 " " y[1] (numeric) = 2.3937512703490667 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08144435794978900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3709321661315954 " " Order of pole = 0.9087268099898314 " " x[1] = -0.9414000000000065 " " y[1] (analytic) = 2.393675745406143 " " y[1] (numeric) = 2.3936757454061337 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8960470835488880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3708640139934083 " " Order of pole = 0.9087314818284131 " " x[1] = -0.9413000000000065 " " y[1] (analytic) = 2.3936002257647795 " " y[1] (numeric) = 2.3936002257647697 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08170191142916360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3707958649619962 " " Order of pole = 0.9087361396937954 " " x[1] = -0.9412000000000065 " " y[1] (analytic) = 2.3935247114255143 " " y[1] (numeric) = 2.3935247114255045 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08183068679607240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3707277190373934 " " Order of pole = 0.9087407835756096 " " x[1] = -0.9411000000000065 " " y[1] (analytic) = 2.3934492023888767 " " y[1] (numeric) = 2.393449202388867 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08195946124533600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.370659576217447 " " Order of pole = 0.9087454134234569 " " x[1] = -0.9410000000000065 " " y[1] (analytic) = 2.393373698655396 " " y[1] (numeric) = 2.3933736986553864 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0820882347751080000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3705914365016891 " " Order of pole = 0.9087500292177424 " " x[1] = -0.9409000000000065 " " y[1] (analytic) = 2.393298200225602 " " y[1] (numeric) = 2.3932982002255923 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08221700738354340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3705232998887114 " " Order of pole = 0.9087546309217025 " " x[1] = -0.9408000000000065 " " y[1] (analytic) = 2.3932227071000236 " " y[1] (numeric) = 2.3932227071000143 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8967846072929413000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3704551663774145 " " Order of pole = 0.9087592185041995 " " x[1] = -0.9407000000000065 " " y[1] (analytic) = 2.393147219279191 " " y[1] (numeric) = 2.3931472192791814 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0824745498290160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3703870359666015 " " Order of pole = 0.9087637919322997 " " x[1] = -0.9406000000000065 " " y[1] (analytic) = 2.3930717367636327 " " y[1] (numeric) = 2.3930717367636234 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.89703044149588950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3703189086553809 " " Order of pole = 0.9087683511786793 " " x[1] = -0.9405000000000066 " " y[1] (analytic) = 2.392996259553879 " " y[1] (numeric) = 2.3929962595538696 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.89715335726848000000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3702507844426404 " " Order of pole = 0.9087728962119623 " " x[1] = -0.9404000000000066 " " y[1] (analytic) = 2.3929207876504597 " " y[1] (numeric) = 2.39292078765045 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0828608565410240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.370182663326913 " " Order of pole = 0.9087774269942717 " " x[1] = -0.9403000000000066 " " y[1] (analytic) = 2.3928453210539034 " " y[1] (numeric) = 2.392845321053894 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8973991861470730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3701145453076982 " " Order of pole = 0.9087819435053976 " " x[1] = -0.9402000000000066 " " y[1] (analytic) = 2.392769859764741 " " y[1] (numeric) = 2.3927698597647313 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.083118389690000300000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3700464303832458 " " Order of pole = 0.908786445702308 " " x[1] = -0.9401000000000066 " " y[1] (analytic) = 2.392694403783502 " " y[1] (numeric) = 2.392694403783492 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0832471548612330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3699783185529888 " " Order of pole = 0.9087909335635675 " " x[1] = -0.9400000000000066 " " y[1] (analytic) = 2.3926189531107154 " " y[1] (numeric) = 2.3926189531107056 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08337591909449570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3699102098155707 " " Order of pole = 0.9087954070533311 " " x[1] = -0.9399000000000066 " " y[1] (analytic) = 2.392543507746911 " " y[1] (numeric) = 2.3925435077469017 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8978908331884880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.369842104170062 " " Order of pole = 0.9087998661435535 " " x[1] = -0.9398000000000066 " " y[1] (analytic) = 2.3924680676926204 " " y[1] (numeric) = 2.3924680676926107 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0836334447397120000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3697740016153268 " " Order of pole = 0.908804310802406 " " x[1] = -0.9397000000000066 " " y[1] (analytic) = 2.392392632948372 " " y[1] (numeric) = 2.3923926329483622 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0837622061479630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3697059021502145 " " Order of pole = 0.9088087409977685 " " x[1] = -0.9396000000000067 " " y[1] (analytic) = 2.3923172035146965 " " y[1] (numeric) = 2.3923172035146867 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08389096661084100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3696378057736494 " " Order of pole = 0.9088131566989208 " " x[1] = -0.9395000000000067 " " y[1] (analytic) = 2.392241779392123 " " y[1] (numeric) = 2.392241779392114 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8983824658480180000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3695697124844741 " " Order of pole = 0.9088175578736344 " " x[1] = -0.9394000000000067 " " y[1] (analytic) = 2.392166360581183 " " y[1] (numeric) = 2.392166360581174 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8985053717524770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.369501622282142 " " Order of pole = 0.9088219445008274 " " x[1] = -0.9393000000000067 " " y[1] (analytic) = 2.392090947082406 " " y[1] (numeric) = 2.3920909470823966 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.89862827674923030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3694335351651181 " " Order of pole = 0.9088263165414165 " " x[1] = -0.9392000000000067 " " y[1] (analytic) = 2.392015538896322 " " y[1] (numeric) = 2.3920155388963127 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.89875118083650940000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3693654511323567 " " Order of pole = 0.9088306739651255 " " x[1] = -0.9391000000000067 " " y[1] (analytic) = 2.3919401360234622 " " y[1] (numeric) = 2.3919401360234525 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08453475467980700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3692973701829252 " " Order of pole = 0.9088350167438861 " " x[1] = -0.9390000000000067 " " y[1] (analytic) = 2.391864738464355 " " y[1] (numeric) = 2.3918647384643457 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8989969862755663000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3692292923160465 " " Order of pole = 0.9088393448524066 " " x[1] = -0.9389000000000067 " " y[1] (analytic) = 2.3917893462195328 " " y[1] (numeric) = 2.391789346219523 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0847922632249367000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.369161217530327 " " Order of pole = 0.9088436582540851 " " x[1] = -0.9388000000000067 " " y[1] (analytic) = 2.391713959289525 " " y[1] (numeric) = 2.391713959289515 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08492101605812950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3690931458247637 " " Order of pole = 0.9088479569195176 " " x[1] = -0.9387000000000068 " " y[1] (analytic) = 2.391638577674861 " " y[1] (numeric) = 2.391638577674852 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.8993656875688470000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3690250771983816 " " Order of pole = 0.9088522408198099 " " x[1] = -0.9386000000000068 " " y[1] (analytic) = 2.3915632013760737 " " y[1] (numeric) = 2.3915632013760644 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.899488586162110000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3689570116503254 " " Order of pole = 0.9088565099282029 " " x[1] = -0.9385000000000068 " " y[1] (analytic) = 2.391487830393692 " " y[1] (numeric) = 2.391487830393683 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.89961148383350440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3688889491793674 " " Order of pole = 0.9088607642111874 " " x[1] = -0.9384000000000068 " " y[1] (analytic) = 2.391412464728247 " " y[1] (numeric) = 2.391412464728238 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.7140327434107240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3688208897846141 " " Order of pole = 0.9088650036413046 " " x[1] = -0.9383000000000068 " " y[1] (analytic) = 2.391337104380269 " " y[1] (numeric) = 2.39133710438026 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.71414978705105040000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.368752833464739 " " Order of pole = 0.9088692281832174 " " x[1] = -0.9382000000000068 " " y[1] (analytic) = 2.39126174935029 " " y[1] (numeric) = 2.39126174935028 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0856935127891770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3686847802191437 " " Order of pole = 0.9088734378148864 " " x[1] = -0.9381000000000068 " " y[1] (analytic) = 2.3911863996388387 " " y[1] (numeric) = 2.391186399638829 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08582225884900450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3686167300467083 " " Order of pole = 0.9088776325047192 " " x[1] = -0.9380000000000068 " " y[1] (analytic) = 2.391111055246447 " " y[1] (numeric) = 2.391111055246437 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0859510039337790000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3685486829464302 " " Order of pole = 0.9088818122233242 " " x[1] = -0.9379000000000068 " " y[1] (analytic) = 2.391035716173646 " " y[1] (numeric) = 2.391035716173636 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27181064567989770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3684806389171142 " " Order of pole = 0.9088859769376771 " " x[1] = -0.9378000000000069 " " y[1] (analytic) = 2.3909603824209658 " " y[1] (numeric) = 2.390960382420956 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08620849117073470000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3684125979584125 " " Order of pole = 0.9088901266303466 " " x[1] = -0.9377000000000069 " " y[1] (analytic) = 2.390885053988938 " " y[1] (numeric) = 2.3908850539889284 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08633723331919700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.368344560068596 " " Order of pole = 0.9088942612586024 " " x[1] = -0.9376000000000069 " " y[1] (analytic) = 2.3908097308780936 " " y[1] (numeric) = 2.390809730878084 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08646597448517060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.368276525246727 " " Order of pole = 0.9088983807941915 " " x[1] = -0.9375000000000069 " " y[1] (analytic) = 2.390734413088963 " " y[1] (numeric) = 2.3907344130889534 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08659471466679400000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3682084934924297 " " Order of pole = 0.9089024852191603 " " x[1] = -0.9374000000000069 " " y[1] (analytic) = 2.390659100622078 " " y[1] (numeric) = 2.3906591006220683 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08672345386220770000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.368140464804316 " " Order of pole = 0.9089065744969034 " " x[1] = -0.9373000000000069 " " y[1] (analytic) = 2.39058379347797 " " y[1] (numeric) = 2.3905837934779597 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2726182007999820000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3680724391812848 " " Order of pole = 0.9089106485962688 " " x[1] = -0.9372000000000069 " " y[1] (analytic) = 2.390508491657169 " " y[1] (numeric) = 2.3905084916571586 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27275278970909100000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.368004416623083 " " Order of pole = 0.9089147075014807 " " x[1] = -0.9371000000000069 " " y[1] (analytic) = 2.3904331951602065 " " y[1] (numeric) = 2.3904331951601967 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0871096655125710000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3679363971277485 " " Order of pole = 0.9089187511655137 " " x[1] = -0.9370000000000069 " " y[1] (analytic) = 2.3903579039876144 " " y[1] (numeric) = 2.390357903987605 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.90145483707432130000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3678683806948324 " " Order of pole = 0.9089227795690924 " " x[1] = -0.936900000000007 " " y[1] (analytic) = 2.3902826181399246 " " y[1] (numeric) = 2.390282618139915 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08736713498096260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.367800367323554 " " Order of pole = 0.9089267926867457 " " x[1] = -0.936800000000007 " " y[1] (analytic) = 2.3902073376176673 " " y[1] (numeric) = 2.3902073376176576 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0874958682200150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3677323570129567 " " Order of pole = 0.9089307904898583 " " x[1] = -0.936700000000007 " " y[1] (analytic) = 2.390132062421374 " " y[1] (numeric) = 2.3901320624213644 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0876246004598210000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.367664349761825 " " Order of pole = 0.9089347729451251 " " x[1] = -0.936600000000007 " " y[1] (analytic) = 2.390056792551577 " " y[1] (numeric) = 2.3900567925515674 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08775333169851540000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3675963455694184 " " Order of pole = 0.9089387400278248 " " x[1] = -0.936500000000007 " " y[1] (analytic) = 2.389981528008807 " " y[1] (numeric) = 2.3899815280087977 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.9020692409372254000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.367528344434693 " " Order of pole = 0.908942691707745 " " x[1] = -0.936400000000007 " " y[1] (analytic) = 2.3899062687935966 " " y[1] (numeric) = 2.389906268793587 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08801079116511500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.367460346356568 " " Order of pole = 0.9089466279539895 " " x[1] = -0.936300000000007 " " y[1] (analytic) = 2.3898310149064765 " " y[1] (numeric) = 2.3898310149064668 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0881395193892880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3673923513347723 " " Order of pole = 0.9089505487504663 " " x[1] = -0.936200000000007 " " y[1] (analytic) = 2.3897557663479785 " " y[1] (numeric) = 2.3897557663479687 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0882682466048910000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3673243593676996 " " Order of pole = 0.9089544540566585 " " x[1] = -0.936100000000007 " " y[1] (analytic) = 2.3896805231186344 " " y[1] (numeric) = 2.3896805231186247 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08839697281005670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3672563704547973 " " Order of pole = 0.908958343851312 " " x[1] = -0.936000000000007 " " y[1] (analytic) = 2.3896052852189764 " " y[1] (numeric) = 2.3896052852189666 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0885256980029183000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3671883845953787 " " Order of pole = 0.9089622181106449 " " x[1] = -0.9359000000000071 " " y[1] (analytic) = 2.389530052649536 " " y[1] (numeric) = 2.3895300526495262 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.08865442218160850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3671204017875958 " " Order of pole = 0.9089660767898824 " " x[1] = -0.9358000000000071 " " y[1] (analytic) = 2.389454825410845 " " y[1] (numeric) = 2.3894548254108354 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0887831453442610000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3670524220319373 " " Order of pole = 0.9089699198866708 " " x[1] = -0.9357000000000071 " " y[1] (analytic) = 2.389379603503436 " " y[1] (numeric) = 2.389379603503426 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2747714978294160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3669844453262072 " " Order of pole = 0.9089737473497603 " " x[1] = -0.9356000000000071 " " y[1] (analytic) = 2.38930438692784 " " y[1] (numeric) = 2.38930438692783 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2749060699146140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3669164716705489 " " Order of pole = 0.9089775591705784 " " x[1] = -0.9355000000000071 " " y[1] (analytic) = 2.389229175684589 " " y[1] (numeric) = 2.3892291756845796 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.9032979765028863000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3668485010631706 " " Order of pole = 0.9089813553052792 " " x[1] = -0.9354000000000071 " " y[1] (analytic) = 2.389153969774217 " " y[1] (numeric) = 2.3891539697742066 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27517521087881270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3667805335037462 " " Order of pole = 0.9089851357366676 " " x[1] = -0.9353000000000071 " " y[1] (analytic) = 2.3890787691972535 " " y[1] (numeric) = 2.3890787691972433 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2753097797539047000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3667125689914932 " " Order of pole = 0.9089889004392866 " " x[1] = -0.9352000000000071 " " y[1] (analytic) = 2.389003573954232 " " y[1] (numeric) = 2.3890035739542217 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27544434755505240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3666446075252838 " " Order of pole = 0.9089926493813625 " " x[1] = -0.9351000000000071 " " y[1] (analytic) = 2.388928384045685 " " y[1] (numeric) = 2.3889283840456743 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46147364968379030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.366576649104226 " " Order of pole = 0.9089963825354364 " " x[1] = -0.9350000000000072 " " y[1] (analytic) = 2.388853199472144 " " y[1] (numeric) = 2.3888531994721336 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2757134799276920000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.366508693727894 " " Order of pole = 0.9090000998824994 " " x[1] = -0.9349000000000072 " " y[1] (analytic) = 2.3887780202341418 " " y[1] (numeric) = 2.3887780202341315 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2758480444952710000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3664407413947575 " " Order of pole = 0.9090038013834754 " " x[1] = -0.9348000000000072 " " y[1] (analytic) = 2.388702846332211 " " y[1] (numeric) = 2.3887028463322 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4618948952846070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.366372792104586 " " Order of pole = 0.9090074870228868 " " x[1] = -0.9347000000000072 " " y[1] (analytic) = 2.3886276777668827 " " y[1] (numeric) = 2.3886276777668725 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2761171703831680000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3663048458563962 " " Order of pole = 0.9090111567716583 " " x[1] = -0.9346000000000072 " " y[1] (analytic) = 2.3885525145386914 " " y[1] (numeric) = 2.388552514538681 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4621757200343330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3662369026488126 " " Order of pole = 0.9090148105934688 " " x[1] = -0.9345000000000072 " " y[1] (analytic) = 2.388477356648168 " " y[1] (numeric) = 2.3884773566481576 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2763862919283313000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3661689624821067 " " Order of pole = 0.9090184484819854 " " x[1] = -0.9344000000000072 " " y[1] (analytic) = 2.3884022040958457 " " y[1] (numeric) = 2.3884022040958355 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27652085106749240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3661010253543309 " " Order of pole = 0.9090220703905416 " " x[1] = -0.9343000000000072 " " y[1] (analytic) = 2.3883270568822574 " " y[1] (numeric) = 2.3883270568822472 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27665540911509500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3660330912650573 " " Order of pole = 0.9090256763001232 " " x[1] = -0.9342000000000072 " " y[1] (analytic) = 2.388251915007935 " " y[1] (numeric) = 2.3882519150079253 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0908425762400846000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3659651602134137 " " Order of pole = 0.909029266183575 " " x[1] = -0.9341000000000073 " " y[1] (analytic) = 2.388176778473412 " " y[1] (numeric) = 2.3881767784734023 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.090971281843970300000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3658972322003395 " " Order of pole = 0.9090328400466738 " " x[1] = -0.9340000000000073 " " y[1] (analytic) = 2.388101647279221 " " y[1] (numeric) = 2.388101647279211 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27705907668895550000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.365829307220751 " " Order of pole = 0.9090363977857905 " " x[1] = -0.9339000000000073 " " y[1] (analytic) = 2.3880265214258944 " " y[1] (numeric) = 2.3880265214258842 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2771936303507274000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.365761385282402 " " Order of pole = 0.9090399395305564 " " x[1] = -0.9338000000000073 " " y[1] (analytic) = 2.387951400913966 " " y[1] (numeric) = 2.387951400913955 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6492697640338450000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3656934663713214 " " Order of pole = 0.909043465015765 " " x[1] = -0.9337000000000073 " " y[1] (analytic) = 2.387876285743967 " " y[1] (numeric) = 2.3878762857439564 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4634393749929346000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.365625550494771 " " Order of pole = 0.9090469743621021 " " x[1] = -0.9336000000000073 " " y[1] (analytic) = 2.387801175916432 " " y[1] (numeric) = 2.3878011759164215 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4635797753600380000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3655576376531668 " " Order of pole = 0.9090504675659314 " " x[1] = -0.9335000000000073 " " y[1] (analytic) = 2.3877260714318935 " " y[1] (numeric) = 2.387726071431883 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4637201745717553000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.365489727844526 " " Order of pole = 0.9090539445798083 " " x[1] = -0.9334000000000073 " " y[1] (analytic) = 2.3876509722908845 " " y[1] (numeric) = 2.387650972290874 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46386057262603700000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3654218210663767 " " Order of pole = 0.9090574053475979 " " x[1] = -0.9333000000000073 " " y[1] (analytic) = 2.3875758784939376 " " y[1] (numeric) = 2.3875758784939274 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2780009291241360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.365353917318707 " " Order of pole = 0.9090608498578074 " " x[1] = -0.9332000000000074 " " y[1] (analytic) = 2.3875007900415874 " " y[1] (numeric) = 2.387500790041577 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46414136525410340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3652860166016203 " " Order of pole = 0.9090642781009617 " " x[1] = -0.9331000000000074 " " y[1] (analytic) = 2.3874257069343656 " " y[1] (numeric) = 2.387425706934355 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46428175982378900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3652181189131951 " " Order of pole = 0.9090676900309109 " " x[1] = -0.9330000000000074 " " y[1] (analytic) = 2.387350629172806 " " y[1] (numeric) = 2.3873506291727953 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46442215322784300000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3651502242533384 " " Order of pole = 0.90907108563467 " " x[1] = -0.9329000000000074 " " y[1] (analytic) = 2.387275556757442 " " y[1] (numeric) = 2.3872755567574315 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46456254546421350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3650823326207848 " " Order of pole = 0.9090744648779197 " " x[1] = -0.9328000000000074 " " y[1] (analytic) = 2.387200489688807 " " y[1] (numeric) = 2.3872004896887966 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27867364750873300000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3650144440154943 " " Order of pole = 0.9090778277486624 " " x[1] = -0.9327000000000074 " " y[1] (analytic) = 2.3871254279674345 " " y[1] (numeric) = 2.387125427967424 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4648433264257037000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.364946558435879 " " Order of pole = 0.9090811742068148 " " x[1] = -0.9326000000000074 " " y[1] (analytic) = 2.3870503715938574 " " y[1] (numeric) = 2.387050371593847 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2789427270156080000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3648786758819964 " " Order of pole = 0.9090845042420082 " " x[1] = -0.9325000000000074 " " y[1] (analytic) = 2.3869753205686104 " " y[1] (numeric) = 2.3869753205685997 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46512410269184800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3648107963530312 " " Order of pole = 0.9090878178281656 " " x[1] = -0.9324000000000074 " " y[1] (analytic) = 2.3869002748922252 " " y[1] (numeric) = 2.386900274892215 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27921180201490840000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.364742919847797 " " Order of pole = 0.9090911149324867 " " x[1] = -0.9323000000000075 " " y[1] (analytic) = 2.3868252345652374 " " y[1] (numeric) = 2.3868252345652268 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46540487424622600000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3646750463656006 " " Order of pole = 0.9090943955309889 " " x[1] = -0.9322000000000075 " " y[1] (analytic) = 2.3867501995881795 " " y[1] (numeric) = 2.386750199588169 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4655452582513690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3646071759059715 " " Order of pole = 0.9090976596039049 " " x[1] = -0.9321000000000075 " " y[1] (analytic) = 2.386675169961585 " " y[1] (numeric) = 2.3866751699615745 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4656856410724094000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.364539308468432 " " Order of pole = 0.9091009071312204 " " x[1] = -0.9320000000000075 " " y[1] (analytic) = 2.386600145685988 " " y[1] (numeric) = 2.386600145685978 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.27974993842782260000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3644714440517702 " " Order of pole = 0.9091041380795648 " " x[1] = -0.9319000000000075 " " y[1] (analytic) = 2.3865251267619234 " " y[1] (numeric) = 2.3865251267619128 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4659664031539630000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3644035826558467 " " Order of pole = 0.9091073524352122 " " x[1] = -0.9318000000000075 " " y[1] (analytic) = 2.3864501131899236 " " y[1] (numeric) = 2.386450113189913 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46610678241036560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3643357242791383 " " Order of pole = 0.9091105501590722 " " x[1] = -0.9317000000000075 " " y[1] (analytic) = 2.386375104970522 " " y[1] (numeric) = 2.386375104970512 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2801535287880110000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3642678689219057 " " Order of pole = 0.9091137312446449 " " x[1] = -0.9316000000000075 " " y[1] (analytic) = 2.386300102104255 " " y[1] (numeric) = 2.3863001021042445 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46638753734414360000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3642000165827401 " " Order of pole = 0.9091168956549733 " " x[1] = -0.9315000000000075 " " y[1] (analytic) = 2.3862251045916545 " " y[1] (numeric) = 2.386225104591644 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46652791301740500000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3641321672613085 " " Order of pole = 0.9091200433727469 " " x[1] = -0.9314000000000076 " " y[1] (analytic) = 2.386150112433255 " " y[1] (numeric) = 2.3861501124332443 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4666682874921730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3640643209571557 " " Order of pole = 0.9091231743783581 " " x[1] = -0.9313000000000076 " " y[1] (analytic) = 2.3860751256295907 " " y[1] (numeric) = 2.38607512562958 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4668086607663880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3639964776689983 " " Order of pole = 0.9091262886371592 " " x[1] = -0.9312000000000076 " " y[1] (analytic) = 2.386000144181196 " " y[1] (numeric) = 2.3860001441811853 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4669490328379920000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3639286373966593 " " Order of pole = 0.9091293861346834 " " x[1] = -0.9311000000000076 " " y[1] (analytic) = 2.3859251680886047 " " y[1] (numeric) = 2.385925168088594 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4670894037049270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3638608001396033 " " Order of pole = 0.9091324668498615 " " x[1] = -0.9310000000000076 " " y[1] (analytic) = 2.385850197352352 " " y[1] (numeric) = 2.3858501973523407 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6533643472553460000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.363792965896525 " " Order of pole = 0.909135530747637 " " x[1] = -0.9309000000000076 " " y[1] (analytic) = 2.3857752319729704 " " y[1] (numeric) = 2.3857752319729597 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46737014181655070000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.363725134667315 " " Order of pole = 0.9091385778147529 " " x[1] = -0.9308000000000076 " " y[1] (analytic) = 2.3857002719509954 " " y[1] (numeric) = 2.385700271950985 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28136423784640730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3636573064512385 " " Order of pole = 0.9091416080264754 " " x[1] = -0.9307000000000076 " " y[1] (analytic) = 2.385625317286962 " " y[1] (numeric) = 2.3856253172869515 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.467650875084780000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3635894812476437 " " Order of pole = 0.9091446213597454 " " x[1] = -0.9306000000000076 " " y[1] (analytic) = 2.3855503679814034 " " y[1] (numeric) = 2.385550367981393 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.281633271568410000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3635216590557186 " " Order of pole = 0.9091476177884186 " " x[1] = -0.9305000000000077 " " y[1] (analytic) = 2.3854754240348552 " " y[1] (numeric) = 2.3854754240348446 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4679316034931290000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3634538398750684 " " Order of pole = 0.9091505972940279 " " x[1] = -0.9304000000000077 " " y[1] (analytic) = 2.3854004854478505 " " y[1] (numeric) = 2.3854004854478403 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28190230062512440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3633860237052777 " " Order of pole = 0.9091535598577547 " " x[1] = -0.9303000000000077 " " y[1] (analytic) = 2.3853255522209253 " " y[1] (numeric) = 2.385325552220915 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28203681339905830000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3633182105452273 " " Order of pole = 0.9091565054478501 " " x[1] = -0.9302000000000077 " " y[1] (analytic) = 2.3852506243546134 " " y[1] (numeric) = 2.385250624354603 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2821713250007410000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3632504003946044 " " Order of pole = 0.9091594340473748 " " x[1] = -0.9301000000000077 " " y[1] (analytic) = 2.38517570184945 " " y[1] (numeric) = 2.3851757018494397 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2823058354281950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3631825932528667 " " Order of pole = 0.9091623456351474 " " x[1] = -0.9300000000000077 " " y[1] (analytic) = 2.38510078470597 " " y[1] (numeric) = 2.3851007847059593 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4686334031437650000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.363114789119139 " " Order of pole = 0.9091652401839241 " " x[1] = -0.9299000000000077 " " y[1] (analytic) = 2.3850258729247074 " " y[1] (numeric) = 2.3850258729246967 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4687737593939170000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3630469879931024 " " Order of pole = 0.9091681176766286 " " x[1] = -0.9298000000000077 " " y[1] (analytic) = 2.3849509665061976 " " y[1] (numeric) = 2.384950966506187 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46891411441259300000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3629791898740162 " " Order of pole = 0.9091709780884436 " " x[1] = -0.9297000000000077 " " y[1] (analytic) = 2.384876065450975 " " y[1] (numeric) = 2.3848760654509644 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46905446819773000000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3629113947613636 " " Order of pole = 0.909173821398678 " " x[1] = -0.9296000000000078 " " y[1] (analytic) = 2.3848011697595757 " " y[1] (numeric) = 2.3848011697595646 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.6554112716117290000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3628436026545088 " " Order of pole = 0.9091766475844665 " " x[1] = -0.9295000000000078 " " y[1] (analytic) = 2.384726279432533 " " y[1] (numeric) = 2.384726279432522 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46933517205911960000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3627758135529857 " " Order of pole = 0.9091794566259868 " " x[1] = -0.9294000000000078 " " y[1] (analytic) = 2.384651394470383 " " y[1] (numeric) = 2.384651394470372 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46947552213123930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3627080274562737 " " Order of pole = 0.9091822485024768 " " x[1] = -0.9293000000000078 " " y[1] (analytic) = 2.3845765148736606 " " y[1] (numeric) = 2.38457651487365 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.46961587096155350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.362640244363596 " " Order of pole = 0.9091850231885097 " " x[1] = -0.9292000000000078 " " y[1] (analytic) = 2.3845016406429007 " " y[1] (numeric) = 2.3845016406428905 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28351637610849540000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3625724642745844 " " Order of pole = 0.9091877806660289 " " x[1] = -0.9291000000000078 " " y[1] (analytic) = 2.3844267717786387 " " y[1] (numeric) = 2.384426771778629 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0974051844811210000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.362504687188765 " " Order of pole = 0.9091905209151321 " " x[1] = -0.9290000000000078 " " y[1] (analytic) = 2.38435190828141 " " y[1] (numeric) = 2.3843519082814004 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.09753383414923730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.362436913105179 " " Order of pole = 0.9091932439070458 " " x[1] = -0.9289000000000078 " " y[1] (analytic) = 2.3842770501517503 " " y[1] (numeric) = 2.38427705015174 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2839198682474230000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3623691420239152 " " Order of pole = 0.9091959496320907 " " x[1] = -0.9288000000000078 " " y[1] (analytic) = 2.384202197390194 " " y[1] (numeric) = 2.3842021973901835 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.47031759641366160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3623013739439729 " " Order of pole = 0.9091986380607704 " " x[1] = -0.9287000000000079 " " y[1] (analytic) = 2.384127349997277 " " y[1] (numeric) = 2.384127349997266 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4704579377497083000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3622336088649718 " " Order of pole = 0.9092013091747777 " " x[1] = -0.9286000000000079 " " y[1] (analytic) = 2.3840525079735335 " " y[1] (numeric) = 2.3840525079735233 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28432334958657350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3621658467863509 " " Order of pole = 0.9092039629526205 " " x[1] = -0.9285000000000079 " " y[1] (analytic) = 2.383977671319501 " " y[1] (numeric) = 2.3839776713194905 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4707386166508670000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3620980877076452 " " Order of pole = 0.9092065993745422 " " x[1] = -0.9284000000000079 " " y[1] (analytic) = 2.383902840035714 " " y[1] (numeric) = 2.383902840035703 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4708789542118377000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3620303316281699 " " Order of pole = 0.9092092184167484 " " x[1] = -0.9283000000000079 " " y[1] (analytic) = 2.3838280141227073 " " y[1] (numeric) = 2.383828014122697 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28472682007237800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3619625785479534 " " Order of pole = 0.9092118200684833 " " x[1] = -0.9282000000000079 " " y[1] (analytic) = 2.383753193581018 " " y[1] (numeric) = 2.3837531935810077 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2848613078131950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.361894828465902 " " Order of pole = 0.9092144042984547 " " x[1] = -0.9281000000000079 " " y[1] (analytic) = 2.3836783784111812 " " y[1] (numeric) = 2.3836783784111706 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4712999593114520000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.361827081381662 " " Order of pole = 0.9092169710889433 " " x[1] = -0.9280000000000079 " " y[1] (analytic) = 2.3836035686137325 " " y[1] (numeric) = 2.383603568613722 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.47144029180998200000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3617593372949057 " " Order of pole = 0.9092195204226723 " " x[1] = -0.9279000000000079 " " y[1] (analytic) = 2.3835287641892076 " " y[1] (numeric) = 2.383528764189197 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.471580623037720000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3616915962053728 " " Order of pole = 0.9092220522836083 " " x[1] = -0.927800000000008 " " y[1] (analytic) = 2.383453965138142 " " y[1] (numeric) = 2.3834539651381315 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4717209529925910000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3616238581120903 " " Order of pole = 0.9092245666426919 " " x[1] = -0.927700000000008 " " y[1] (analytic) = 2.3833791714610726 " " y[1] (numeric) = 2.383379171461062 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.47186128167252060000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.361556123014759 " " Order of pole = 0.9092270634831774 " " x[1] = -0.927600000000008 " " y[1] (analytic) = 2.3833043831585345 " " y[1] (numeric) = 2.383304383158524 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4720016090754350000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3614883909130855 " " Order of pole = 0.9092295427883936 " " x[1] = -0.927500000000008 " " y[1] (analytic) = 2.383229600231064 " " y[1] (numeric) = 2.3832296002310533 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4721419351992570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.361420661806448 " " Order of pole = 0.9092320045356939 " " x[1] = -0.927400000000008 " " y[1] (analytic) = 2.383154822679197 " " y[1] (numeric) = 2.3831548226791863 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.4722822600419130000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.361352935694587 " " Order of pole = 0.9092344487091122 " " x[1] = -0.927300000000008 " " y[1] (analytic) = 2.3830800505034686 " " y[1] (numeric) = 2.383080050503459 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.0997207016345494000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3612852125766788 " " Order of pole = 0.9092368752822075 " " x[1] = -0.927200000000008 " " y[1] (analytic) = 2.383005283704417 " " y[1] (numeric) = 2.383005283704407 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2862061181306090000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3612174924526057 " " Order of pole = 0.9092392842416128 " " x[1] = -0.927100000000008 " " y[1] (analytic) = 2.3829305222825767 " " y[1] (numeric) = 2.382930522282567 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.09997795795693730000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3611497753219672 " " Order of pole = 0.9092416755687349 " " x[1] = -0.927000000000008 " " y[1] (analytic) = 2.382855766238485 " " y[1] (numeric) = 2.382855766238475 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.10010658434605550000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3610820611840158 " " Order of pole = 0.909244049238545 " " x[1] = -0.926900000000008 " " y[1] (analytic) = 2.3827810155726774 " " y[1] (numeric) = 2.382781015572667 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28660953725812530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3610143500387264 " " Order of pole = 0.9092464052393741 " " x[1] = -0.9268000000000081 " " y[1] (analytic) = 2.3827062702856905 " " y[1] (numeric) = 2.3827062702856803 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28674400782382560000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3609466418852354 " " Order of pole = 0.9092487435440955 " " x[1] = -0.9267000000000081 " " y[1] (analytic) = 2.3826315303780605 " " y[1] (numeric) = 2.3826315303780503 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.2868784771478030000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3608789367236478 " " Order of pole = 0.9092510641433904 " " x[1] = -0.9266000000000081 " " y[1] (analytic) = 2.382556795850324 " " y[1] (numeric) = 2.3825567958503138 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28701294522806530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3608112345531236 " " Order of pole = 0.9092533670105549 " " x[1] = -0.9265000000000081 " " y[1] (analytic) = 2.382482066703017 " " y[1] (numeric) = 2.382482066703007 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.10074969849467950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3607435353734805 " " Order of pole = 0.9092556521310069 " " x[1] = -0.9264000000000081 " " y[1] (analytic) = 2.382407342936677 " " y[1] (numeric) = 2.382407342936667 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.28728187764946900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3606758391843623 " " Order of pole = 0.9092579194869312 " " x[1] = -0.9263000000000081 " " y[1] (analytic) = 2.382332624551839 " " y[1] (numeric) = 2.3823326245518293 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.1010069358132933000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3606081459851773 " " Order of pole = 0.9092601690562194 " " x[1] = -0.9262000000000081 " " y[1] (analytic) = 2.382257911549041 " " y[1] (numeric) = 2.3822579115490314 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.1011355526776483000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3605404557759022 " " Order of pole = 0.9092624008271581 " " x[1] = -0.9261000000000081 " " y[1] (analytic) = 2.382183203928819 " " y[1] (numeric) = 2.38218320392881 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.91484306978178900000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.360472768555695 " " Order of pole = 0.9092646147730505 " " x[1] = -0.9260000000000081 " " y[1] (analytic) = 2.3821085016917105 " " y[1] (numeric) = 2.3821085016917007 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.1013927828069160000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.36040508432464 " " Order of pole = 0.9092668108841515 " " x[1] = -0.9259000000000082 " " y[1] (analytic) = 2.3820338048382514 " " y[1] (numeric) = 2.3820338048382417 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.10152139606800970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3603374030817639 " " Order of pole = 0.9092689891313412 " " x[1] = -0.9258000000000082 " " y[1] (analytic) = 2.381959113368979 " " y[1] (numeric) = 2.381959113368969 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 4.1016500081241970000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3602697248273785 " " Order of pole = 0.9092711495091024 " " x[1] = -0.9257000000000082 " " y[1] (analytic) = 2.381884427284429 " " y[1] (numeric) = 2.3818844272844197 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.9153341362929530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.360202049560841 " " Order of pole = 0.9092732919942943 " " x[1] = -0.9256000000000082 " " y[1] (analytic) = 2.3818097465851396 " " y[1] (numeric) = 2.3818097465851307 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.7290065714674690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.360134377281621 " " Order of pole = 0.9092754165659684 " " x[1] = -0.9255000000000082 " " y[1] (analytic) = 2.3817350712716476 " " y[1] (numeric) = 2.3817350712716387 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.72912348822202140000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3600667079896214 " " Order of pole = 0.9092775232110579 " " x[1] = -0.9254000000000082 " " y[1] (analytic) = 2.3816604013444893 " " y[1] (numeric) = 2.381660401344481 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.54277838368054540000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3599990416846133 " " Order of pole = 0.9092796119141031 " " x[1] = -0.9253000000000082 " " y[1] (analytic) = 2.381585736804203 " " y[1] (numeric) = 2.381585736804194 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.729357318422440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3599313783661025 " " Order of pole = 0.9092816826547114 " " x[1] = -0.9252000000000082 " " y[1] (analytic) = 2.3815110776513246 " " y[1] (numeric) = 2.3815110776513153 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.9159479434580690000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.359863718033754 " " Order of pole = 0.9092837354154977 " " x[1] = -0.9251000000000082 " " y[1] (analytic) = 2.3814364238863917 " " y[1] (numeric) = 2.3814364238863823 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.91607070140966850000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.359796060687094 " " Order of pole = 0.9092857701764778 " " x[1] = -0.9250000000000083 " " y[1] (analytic) = 2.3813617755099408 " " y[1] (numeric) = 2.381361775509932 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.7297080554252710000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3597284063261164 " " Order of pole = 0.9092877869262459 " " x[1] = -0.9249000000000083 " " y[1] (analytic) = 2.3812871325225107 " " y[1] (numeric) = 2.3812871325225013 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.91631621381683840000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3596607549502697 " " Order of pole = 0.9092897856434323 " " x[1] = -0.9248000000000083 " " y[1] (analytic) = 2.381212494924637 " " y[1] (numeric) = 2.381212494924628 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.7299418745416724000000000000E-13 "%" h = 1.0000E-4 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = arctan ( x ) ;" Iterations = 752 "Total Elapsed Time "= 15 Minutes 1 Seconds "Elapsed Time(since restart) "= 15 Minutes 0 Seconds "Expected Time Remaining "= 19 Hours 41 Minutes 32 Seconds "Optimized Time Remaining "= 19 Hours 40 Minutes 59 Seconds "Time to Timeout " Unknown Percent Done = 1.2549999999998618 "%" (%o51) true (%o51) diffeq.max