(%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_a1 : sinh(array_x ), 1 1 array_tmp1_a1 1 array_tmp1_a2 : cosh(array_x ), array_tmp1 : --------------, 1 1 1 array_tmp1_a2 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_a1 : att(1, array_tmp1_a2, array_x, 1), 2 array_tmp1_a2 : att(1, array_tmp1_a1, array_x, 1), 2 array_tmp1_a1 - ats(2, array_tmp1_a2, array_tmp1, 2) 2 array_tmp1 : -----------------------------------------------------, 2 array_tmp1_a2 1 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_a1 : att(2, array_tmp1_a2, array_x, 1), 3 array_tmp1_a2 : att(2, array_tmp1_a1, array_x, 1), 3 array_tmp1_a1 - ats(3, array_tmp1_a2, array_tmp1, 2) 3 array_tmp1 : -----------------------------------------------------, 3 array_tmp1_a2 1 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_a1 : att(3, array_tmp1_a2, array_x, 1), 4 array_tmp1_a2 : att(3, array_tmp1_a1, array_x, 1), 4 array_tmp1_a1 - ats(4, array_tmp1_a2, array_tmp1, 2) 4 array_tmp1 : -----------------------------------------------------, 4 array_tmp1_a2 1 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_a1 : att(4, array_tmp1_a2, array_x, 1), 5 array_tmp1_a2 : att(4, array_tmp1_a1, array_x, 1), 5 array_tmp1_a1 - ats(5, array_tmp1_a2, array_tmp1, 2) 5 array_tmp1 : -----------------------------------------------------, 5 array_tmp1_a2 1 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_a1 : kkk att(kkk - 1, array_tmp1_a2, array_x, 1), array_tmp1_a2 : att(kkk - 1, array_tmp1_a1, array_x, 1), kkk array_tmp1_a1 - ats(kkk, array_tmp1_a2, array_tmp1, 2) kkk array_tmp1 : ---------------------------------------------------------, kkk array_tmp1_a2 1 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_a1 : sinh(array_x ), 1 1 array_tmp1_a1 1 array_tmp1_a2 : cosh(array_x ), array_tmp1 : --------------, 1 1 1 array_tmp1_a2 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_a1 : att(1, array_tmp1_a2, array_x, 1), 2 array_tmp1_a2 : att(1, array_tmp1_a1, array_x, 1), 2 array_tmp1_a1 - ats(2, array_tmp1_a2, array_tmp1, 2) 2 array_tmp1 : -----------------------------------------------------, 2 array_tmp1_a2 1 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_a1 : att(2, array_tmp1_a2, array_x, 1), 3 array_tmp1_a2 : att(2, array_tmp1_a1, array_x, 1), 3 array_tmp1_a1 - ats(3, array_tmp1_a2, array_tmp1, 2) 3 array_tmp1 : -----------------------------------------------------, 3 array_tmp1_a2 1 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_a1 : att(3, array_tmp1_a2, array_x, 1), 4 array_tmp1_a2 : att(3, array_tmp1_a1, array_x, 1), 4 array_tmp1_a1 - ats(4, array_tmp1_a2, array_tmp1, 2) 4 array_tmp1 : -----------------------------------------------------, 4 array_tmp1_a2 1 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_a1 : att(4, array_tmp1_a2, array_x, 1), 5 array_tmp1_a2 : att(4, array_tmp1_a1, array_x, 1), 5 array_tmp1_a1 - ats(5, array_tmp1_a2, array_tmp1, 2) 5 array_tmp1 : -----------------------------------------------------, 5 array_tmp1_a2 1 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_a1 : kkk att(kkk - 1, array_tmp1_a2, array_x, 1), array_tmp1_a2 : att(kkk - 1, array_tmp1_a1, array_x, 1), kkk array_tmp1_a1 - ats(kkk, array_tmp1_a2, array_tmp1, 2) kkk array_tmp1 : ---------------------------------------------------------, kkk array_tmp1_a2 1 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) factorial_1(nnn) := (if nnn <= glob_max_terms then ret : array_fact_1 nnn else ret : nnn!, ret) (%o39) factorial_1(nnn) := (if nnn <= glob_max_terms then ret : array_fact_1 nnn else ret : nnn!, ret) (%i40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) mmm! and (mmm <= glob_max_terms) then ret : array_fact_2 else ret : ----, mmm, nnn nnn! ret) (%o40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) mmm! and (mmm <= glob_max_terms) then ret : array_fact_2 else ret : ----, mmm, nnn nnn! ret) (%i41) convfp(mmm) := mmm (%o41) convfp(mmm) := mmm (%i42) convfloat(mmm) := mmm (%o42) convfloat(mmm) := mmm (%i43) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o43) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i44) arcsin(x) := asin(x) (%o44) arcsin(x) := asin(x) (%i45) arccos(x) := acos(x) (%o45) arccos(x) := acos(x) (%i46) arctan(x) := atan(x) (%o46) arctan(x) := atan(x) (%i47) exact_soln_y(x) := log(cosh(x)) + 2.0 (%o47) exact_soln_y(x) := log(cosh(x)) + 2.0 (%i48) mainprog() := (define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_percent_done, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(days_in_year, 365.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(djd_debug2, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_max_hours, 0.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(years_in_century, 100.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_iter, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_h, 0.1, float), define_variable(glob_optimal_done, false, boolean), define_variable(hours_in_day, 24.0, float), define_variable(djd_debug, 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/tanhpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = tanh ( 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 : 0.1,"), omniout_str(ALWAYS, "x_end : 10.0 ,"), 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 : 10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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 + log(cosh((x)))"), 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_1st_rel_error, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), 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_fact_1 : 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_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 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_a1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_a2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), ord : 1, term while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 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_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_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, 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_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_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 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, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (temp1 : iiif!, temp2 : jjjf!, temp1 array_fact_1 : temp1, array_fact_2 : -----, jjjf : 1 + jjjf), iiif iiif, jjjf temp2 iiif : 1 + iiif), x_start : 0.1, x_end : 10.0, array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 10, glob_h : 0.001, 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, factorial_1(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, factorial_1(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, factorial_1(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no 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 ) = tanh ( 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, "2012-06-17T03:23:51-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "tanh"), logitem_str(html_log_file, "diff ( y , x , 1 ) = tanh ( 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, " 091 "), logitem_str(html_log_file, "tanh diffeq.max"), logitem_str(html_log_file, "tanh maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o48) mainprog() := (define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_percent_done, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(days_in_year, 365.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(djd_debug2, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_max_hours, 0.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(years_in_century, 100.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_iter, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_h, 0.1, float), define_variable(glob_optimal_done, false, boolean), define_variable(hours_in_day, 24.0, float), define_variable(djd_debug, 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/tanhpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = tanh ( 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 : 0.1,"), omniout_str(ALWAYS, "x_end : 10.0 ,"), 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 : 10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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 + log(cosh((x)))"), 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_1st_rel_error, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), 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_fact_1 : 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_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 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_a1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_a2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), ord : 1, term while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 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_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_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, 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_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_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 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, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (temp1 : iiif!, temp2 : jjjf!, temp1 array_fact_1 : temp1, array_fact_2 : -----, jjjf : 1 + jjjf), iiif iiif, jjjf temp2 iiif : 1 + iiif), x_start : 0.1, x_end : 10.0, array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 10, glob_h : 0.001, 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, factorial_1(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, factorial_1(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, factorial_1(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no 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 ) = tanh ( 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, "2012-06-17T03:23:51-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "tanh"), logitem_str(html_log_file, "diff ( y , x , 1 ) = tanh ( 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, " 091 "), logitem_str(html_log_file, "tanh diffeq.max"), logitem_str(html_log_file, "tanh maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly for speeding factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i49) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/tanhpostode.ode#################" "diff ( y , x , 1 ) = tanh ( x ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 10.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.00001 ," "glob_look_poles : true," "glob_max_iter : 10," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "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 + log(cosh((x)))" ");" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 2.0049916888216464 " " y[1] (numeric) = 2.0049916888216464 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5794783780020338 " " Order of pole = 2.1821162728740013 " " x[1] = 0.101 " " y[1] (analytic) = 2.0050918518164442 " " y[1] (numeric) = 2.0050918518164442 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5795420426076354 " " Order of pole = 2.1821086295509673 " " x[1] = 0.10200000000000001 " " y[1] (analytic) = 2.0051930046790565 " " y[1] (numeric) = 2.0051930046790565 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5796065731990996 " " Order of pole = 2.1821050583697534 " " x[1] = 0.10300000000000001 " " y[1] (analytic) = 2.005295147209248 " " y[1] (numeric) = 2.005295147209248 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5796719698360104 " " Order of pole = 2.1821055616874077 " " x[1] = 0.10400000000000001 " " y[1] (analytic) = 2.0053982792048655 " " y[1] (numeric) = 2.0053982792048655 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5797382323605085 " " Order of pole = 2.1821101380437042 " " x[1] = 0.10500000000000001 " " y[1] (analytic) = 2.0055024004618383 " " y[1] (numeric) = 2.0055024004618383 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5798053604019149 " " Order of pole = 2.1821187822416945 " " x[1] = 0.10600000000000001 " " y[1] (analytic) = 2.0056075107741824 " " y[1] (numeric) = 2.005607510774182 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.214237867899887500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5798733533725913 " " Order of pole = 2.182131485276429 " " x[1] = 0.10700000000000001 " " y[1] (analytic) = 2.0057136099339994 " " y[1] (numeric) = 2.005713609933999 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.214120738128091700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5799422104708039 " " Order of pole = 2.182148234385103 " " x[1] = 0.10800000000000001 " " y[1] (analytic) = 2.00582069773148 " " y[1] (numeric) = 2.0058206977314796 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.214002529499837500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.580011930681011 " " Order of pole = 2.1821690130526683 " " x[1] = 0.10900000000000001 " " y[1] (analytic) = 2.005928773954905 " " y[1] (numeric) = 2.0059287739549045 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.213883242596360300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5800825127746467 " " Order of pole = 2.182193801025935 " " x[1] = 0.11000000000000001 " " y[1] (analytic) = 2.0060378383906468 " " y[1] (numeric) = 2.0060378383906463 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.213762878004012200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5801539553114379 " " Order of pole = 2.1822225743372208 " " x[1] = 0.11100000000000002 " " y[1] (analytic) = 2.006147890823171 " " y[1] (numeric) = 2.006147890823171 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5802262566405485 " " Order of pole = 2.1822553053247873 " " x[1] = 0.11200000000000002 " " y[1] (analytic) = 2.00625893103504 " " y[1] (numeric) = 2.00625893103504 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.580299414902264 " " Order of pole = 2.182291962662884 " " x[1] = 0.11300000000000002 " " y[1] (analytic) = 2.0063709588069107 " " y[1] (numeric) = 2.0063709588069107 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.580373428029529 " " Order of pole = 2.182332511389202 " " x[1] = 0.11400000000000002 " " y[1] (analytic) = 2.00648397391754 " " y[1] (numeric) = 2.00648397391754 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5804482937498223 " " Order of pole = 2.182376912938242 " " x[1] = 0.11500000000000002 " " y[1] (analytic) = 2.006597976143785 " " y[1] (numeric) = 2.006597976143785 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5805240095873343 " " Order of pole = 2.182425125179954 " " x[1] = 0.11600000000000002 " " y[1] (analytic) = 2.0067129652606046 " " y[1] (numeric) = 2.0067129652606046 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5806005728651074 " " Order of pole = 2.182477102457849 " " x[1] = 0.11700000000000002 " " y[1] (analytic) = 2.0068289410410616 " " y[1] (numeric) = 2.0068289410410616 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5806779807075262 " " Order of pole = 2.18253279563314 " " x[1] = 0.11800000000000002 " " y[1] (analytic) = 2.0069459032563244 " " y[1] (numeric) = 2.0069459032563244 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5807562300427949 " " Order of pole = 2.1825921521286666 " " x[1] = 0.11900000000000002 " " y[1] (analytic) = 2.007063851675669 " " y[1] (numeric) = 2.007063851675669 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5808353176058854 " " Order of pole = 2.1826551159812126 " " x[1] = 0.12000000000000002 " " y[1] (analytic) = 2.0071827860664806 " " y[1] (numeric) = 2.0071827860664806 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.580915239941357 " " Order of pole = 2.1827216278914 " " x[1] = 0.12100000000000002 " " y[1] (analytic) = 2.007302706194255 " " y[1] (numeric) = 2.007302706194255 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5809959934065072 " " Order of pole = 2.182791625279485 " " x[1] = 0.12200000000000003 " " y[1] (analytic) = 2.007423611822602 " " y[1] (numeric) = 2.007423611822602 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5810775741747327 " " Order of pole = 2.182865042344943 " " x[1] = 0.12300000000000003 " " y[1] (analytic) = 2.0075455027132447 " " y[1] (numeric) = 2.0075455027132447 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5811599782388572 " " Order of pole = 2.182941810125186 " " x[1] = 0.12400000000000003 " " y[1] (analytic) = 2.007668378626024 " " y[1] (numeric) = 2.0076683786260237 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21196495685199400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.581243201414867 " " Order of pole = 2.183021856561801 " " x[1] = 0.12500000000000003 " " y[1] (analytic) = 2.0077922393188983 " " y[1] (numeric) = 2.007792239318898 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.211828500745229900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5813272393456337 " " Order of pole = 2.1831051065662344 " " x[1] = 0.12600000000000003 " " y[1] (analytic) = 2.007917084547947 " " y[1] (numeric) = 2.007917084547947 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5814120875048392 " " Order of pole = 2.183191482089285 " " x[1] = 0.12700000000000003 " " y[1] (analytic) = 2.0080429140673717 " " y[1] (numeric) = 2.0080429140673717 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.581497741201114 " " Order of pole = 2.183280902194145 " " x[1] = 0.12800000000000003 " " y[1] (analytic) = 2.0081697276294985 " " y[1] (numeric) = 2.008169727629498 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.211412729412460300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.581584195582226 " " Order of pole = 2.1833732831304857 " " x[1] = 0.12900000000000003 " " y[1] (analytic) = 2.0082975249847785 " " y[1] (numeric) = 2.008297524984778 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.211272006887667300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5816714456394838 " " Order of pole = 2.1834685384121215 " " x[1] = 0.13000000000000003 " " y[1] (analytic) = 2.008426305881792 " " y[1] (numeric) = 2.0084263058817915 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.211130219463476600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5817594862123012 " " Order of pole = 2.1835665788977607 " " x[1] = 0.13100000000000003 " " y[1] (analytic) = 2.0085560700672493 " " y[1] (numeric) = 2.0085560700672485 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42197473566365400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.581848311992753 " " Order of pole = 2.183667312871261 " " x[1] = 0.13200000000000003 " " y[1] (analytic) = 2.0086868172859917 " " y[1] (numeric) = 2.008686817285991 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42168690537918100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.581937917530536 " " Order of pole = 2.1837706461293926 " " x[1] = 0.13300000000000003 " " y[1] (analytic) = 2.008818547280996 " " y[1] (numeric) = 2.008818547280995 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42139694947711900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5820282972377504 " " Order of pole = 2.183876482066051 " " x[1] = 0.13400000000000004 " " y[1] (analytic) = 2.008951259793373 " " y[1] (numeric) = 2.0089512597933723 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.421104869370883000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.582119445394083 " " Order of pole = 2.1839847217637924 " " x[1] = 0.13500000000000004 " " y[1] (analytic) = 2.0090849545623737 " " y[1] (numeric) = 2.0090849545623732 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.210405333241847700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5822113561518998 " " Order of pole = 2.184095264083684 " " x[1] = 0.13600000000000004 " " y[1] (analytic) = 2.0092196313253887 " " y[1] (numeric) = 2.009219631325388 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42051434224856400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.582304023541573 " " Order of pole = 2.184208005759217 " " x[1] = 0.13700000000000004 " " y[1] (analytic) = 2.0093552898179485 " " y[1] (numeric) = 2.009355289817948 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.210107949054136400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5823974414768494 " " Order of pole = 2.184322841491028 " " x[1] = 0.13800000000000004 " " y[1] (analytic) = 2.0094919297737315 " " y[1] (numeric) = 2.0094919297737306 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.41991533551535100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5824916037605115 " " Order of pole = 2.1844396640467103 " " x[1] = 0.13900000000000004 " " y[1] (analytic) = 2.0096295509245583 " " y[1] (numeric) = 2.009629550924558 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.20980632796603300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.582586504089809 " " Order of pole = 2.1845583643565405 " " x[1] = 0.14000000000000004 " " y[1] (analytic) = 2.009768153000401 " " y[1] (numeric) = 2.0097681530004006 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.209653930415196300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5826821360623324 " " Order of pole = 2.184678831617049 " " x[1] = 0.14100000000000004 " " y[1] (analytic) = 2.009907735729381 " " y[1] (numeric) = 2.00990773572938 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.41900095169200200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5827784931817233 " " Order of pole = 2.184800953391669 " " x[1] = 0.14200000000000004 " " y[1] (analytic) = 2.0100482988377717 " " y[1] (numeric) = 2.010048298837771 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.418691930008239500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5828755688636684 " " Order of pole = 2.1849246157163655 " " x[1] = 0.14300000000000004 " " y[1] (analytic) = 2.0101898420500017 " " y[1] (numeric) = 2.010189842050001 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.41838079728010370000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5829733564418047 " " Order of pole = 2.185049703203628 " " x[1] = 0.14400000000000004 " " y[1] (analytic) = 2.010332365088656 " " y[1] (numeric) = 2.0103323650886558 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.209033777509114300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5830718491738354 " " Order of pole = 2.1851760991503184 " " x[1] = 0.14500000000000005 " " y[1] (analytic) = 2.0104758676744803 " " y[1] (numeric) = 2.0104758676744794 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.417752204742861300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5831710402476702 " " Order of pole = 2.1853036856457635 " " x[1] = 0.14600000000000005 " " y[1] (analytic) = 2.010620349526378 " " y[1] (numeric) = 2.0106203495263775 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.20871737399192400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5832709227875816 " " Order of pole = 2.1854323436802083 " " x[1] = 0.14700000000000005 " " y[1] (analytic) = 2.010765810361419 " " y[1] (numeric) = 2.0107658103614185 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.208557593140302600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.583371489860526 " " Order of pole = 2.1855619532561548 " " x[1] = 0.14800000000000005 " " y[1] (analytic) = 2.010912249894837 " " y[1] (numeric) = 2.0109122498948366 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.208396760591053700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5834727344824358 " " Order of pole = 2.185692393499121 " " x[1] = 0.14900000000000005 " " y[1] (analytic) = 2.011059667840034 " " y[1] (numeric) = 2.011059667840034 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5835746496245902 " " Order of pole = 2.1858235427698602 " " x[1] = 0.15000000000000005 " " y[1] (analytic) = 2.011208063908582 " " y[1] (numeric) = 2.011208063908582 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5836772282200575 " " Order of pole = 2.185955278777712 " " x[1] = 0.15100000000000005 " " y[1] (analytic) = 2.0113574378102244 " " y[1] (numeric) = 2.0113574378102244 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5837804631701224 " " Order of pole = 2.1860874786937785 " " x[1] = 0.15200000000000005 " " y[1] (analytic) = 2.0115077892528794 " " y[1] (numeric) = 2.01150778925288 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.20774292907415300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5838843473507707 " " Order of pole = 2.186220019265047 " " x[1] = 0.15300000000000005 " " y[1] (analytic) = 2.0116591179426426 " " y[1] (numeric) = 2.011659117942643 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.207576849820560300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5839888736192484 " " Order of pole = 2.1863527769298052 " " x[1] = 0.15400000000000005 " " y[1] (analytic) = 2.011811423583788 " " y[1] (numeric) = 2.011811423583788 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.58409403482055 " " Order of pole = 2.186485627931809 " " x[1] = 0.15500000000000005 " " y[1] (analytic) = 2.011964705878769 " " y[1] (numeric) = 2.0119647058787695 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.207241551268152300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5841998237939532 " " Order of pole = 2.186618448435233 " " x[1] = 0.15600000000000006 " " y[1] (analytic) = 2.0121189645282263 " " y[1] (numeric) = 2.0121189645282263 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5843062333796583 " " Order of pole = 2.186751114641499 " " x[1] = 0.15700000000000006 " " y[1] (analytic) = 2.0122741992309825 " " y[1] (numeric) = 2.012274199230983 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.206902071396518700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.584413256425277 " " Order of pole = 2.1868835029033455 " " x[1] = 0.15800000000000006 " " y[1] (analytic) = 2.0124304096840513 " " y[1] (numeric) = 2.0124304096840517 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.206730765511459300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5845208857923825 " " Order of pole = 2.187015489840075 " " x[1] = 0.15900000000000006 " " y[1] (analytic) = 2.0125875955826356 " " y[1] (numeric) = 2.0125875955826356 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.584629114363122 " " Order of pole = 2.1871469524537765 " " x[1] = 0.16000000000000006 " " y[1] (analytic) = 2.01274575662013 " " y[1] (numeric) = 2.0127457566201303 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.206385025974627300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5847379350466673 " " Order of pole = 2.187277768242769 " " x[1] = 0.16100000000000006 " " y[1] (analytic) = 2.0129048924881268 " " y[1] (numeric) = 2.0129048924881268 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5848473407857897 " " Order of pole = 2.187407815317137 " " x[1] = 0.16200000000000006 " " y[1] (analytic) = 2.0130650028764134 " " y[1] (numeric) = 2.013065002876414 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.206035121645429600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5849573245632893 " " Order of pole = 2.1875369725117793 " " x[1] = 0.16300000000000006 " " y[1] (analytic) = 2.0132260874729795 " " y[1] (numeric) = 2.01322608747298 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.205858609787277600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5850678794084778 " " Order of pole = 2.1876651195002808 " " x[1] = 0.16400000000000006 " " y[1] (analytic) = 2.013388145964015 " " y[1] (numeric) = 2.0133881459640155 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.205681059264564500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5851789984035294 " " Order of pole = 2.1877921369065056 " " x[1] = 0.16500000000000006 " " y[1] (analytic) = 2.013551178033916 " " y[1] (numeric) = 2.013551178033916 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5852906746899245 " " Order of pole = 2.1879179064178302 " " x[1] = 0.16600000000000006 " " y[1] (analytic) = 2.0137151833652847 " " y[1] (numeric) = 2.013715183365285 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.205322845646466600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5854029014746271 " " Order of pole = 2.1880423108936355 " " x[1] = 0.16700000000000007 " " y[1] (analytic) = 2.013880161638934 " " y[1] (numeric) = 2.013880161638934 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5855156720364434 " " Order of pole = 2.1881652344769122 " " x[1] = 0.16800000000000007 " " y[1] (analytic) = 2.0140461125338884 " " y[1] (numeric) = 2.014046112533888 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.20496048767895500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5856289797321061 " " Order of pole = 2.1882865627011476 " " x[1] = 0.16900000000000007 " " y[1] (analytic) = 2.0142130357273857 " " y[1] (numeric) = 2.0142130357273857 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5857428180024828 " " Order of pole = 2.1884061825993264 " " x[1] = 0.17000000000000007 " " y[1] (analytic) = 2.0143809308948835 " " y[1] (numeric) = 2.0143809308948835 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5858571803784836 " " Order of pole = 2.1885239828075136 " " x[1] = 0.17100000000000007 " " y[1] (analytic) = 2.0145497977100564 " " y[1] (numeric) = 2.0145497977100564 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5859720604870753 " " Order of pole = 2.1886398536705194 " " x[1] = 0.17200000000000007 " " y[1] (analytic) = 2.0147196358448016 " " y[1] (numeric) = 2.0147196358448016 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.586087452057129 " " Order of pole = 2.1887536873443842 " " x[1] = 0.17300000000000007 " " y[1] (analytic) = 2.0148904449692417 " " y[1] (numeric) = 2.0148904449692417 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5862033489251712 " " Order of pole = 2.1888653778972866 " " x[1] = 0.17400000000000007 " " y[1] (analytic) = 2.0150622247517256 " " y[1] (numeric) = 2.0150622247517256 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5863197450410425 " " Order of pole = 2.188974821408795 " " x[1] = 0.17500000000000007 " " y[1] (analytic) = 2.015234974858832 " " y[1] (numeric) = 2.015234974858832 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5864366344733989 " " Order of pole = 2.1890819160662716 " " x[1] = 0.17600000000000007 " " y[1] (analytic) = 2.015408694955371 " " y[1] (numeric) = 2.015408694955371 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5865540114152379 " " Order of pole = 2.189186562261696 " " x[1] = 0.17700000000000007 " " y[1] (analytic) = 2.0155833847043882 " " y[1] (numeric) = 2.0155833847043882 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5866718701891402 " " Order of pole = 2.1892886626836088 " " x[1] = 0.17800000000000007 " " y[1] (analytic) = 2.015759043767167 " " y[1] (numeric) = 2.015759043767167 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.586790205252519 " " Order of pole = 2.1893881224089817 " " x[1] = 0.17900000000000008 " " y[1] (analytic) = 2.0159356718032284 " " y[1] (numeric) = 2.015935671803229 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.202893753315206500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5869090112026394 " " Order of pole = 2.189484848991082 " " x[1] = 0.18000000000000008 " " y[1] (analytic) = 2.016113268470339 " " y[1] (numeric) = 2.016113268470339 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5870282827816173 " " Order of pole = 2.189578752547064 " " x[1] = 0.18100000000000008 " " y[1] (analytic) = 2.016291833424508 " " y[1] (numeric) = 2.016291833424508 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5871480148810981 " " Order of pole = 2.1896697458397796 " " x[1] = 0.18200000000000008 " " y[1] (analytic) = 2.0164713663199922 " " y[1] (numeric) = 2.0164713663199927 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.202308533944193000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5872682025470242 " " Order of pole = 2.189757744361163 " " x[1] = 0.18300000000000008 " " y[1] (analytic) = 2.016651866809301 " " y[1] (numeric) = 2.016651866809301 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5873888409841461 " " Order of pole = 2.189842666411156 " " x[1] = 0.18400000000000008 " " y[1] (analytic) = 2.0168333345431946 " " y[1] (numeric) = 2.0168333345431946 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5875099255602085 " " Order of pole = 2.189924433170823 " " x[1] = 0.18500000000000008 " " y[1] (analytic) = 2.0170157691706896 " " y[1] (numeric) = 2.0170157691706896 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5876314518103711 " " Order of pole = 2.19000296877957 " " x[1] = 0.18600000000000008 " " y[1] (analytic) = 2.017199170339061 " " y[1] (numeric) = 2.017199170339061 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5877534154410495 " " Order of pole = 2.1900782004022545 " " x[1] = 0.18700000000000008 " " y[1] (analytic) = 2.017383537693844 " " y[1] (numeric) = 2.017383537693844 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5878758123338628 " " Order of pole = 2.1901500582980233 " " x[1] = 0.18800000000000008 " " y[1] (analytic) = 2.017568870878838 " " y[1] (numeric) = 2.017568870878838 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5879986385493716 " " Order of pole = 2.190218475885512 " " x[1] = 0.18900000000000008 " " y[1] (analytic) = 2.017755169536109 " " y[1] (numeric) = 2.0177551695361093 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.200907308056411800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5881218903305097 " " Order of pole = 2.1902833898026373 " " x[1] = 0.19000000000000009 " " y[1] (analytic) = 2.017942433305992 " " y[1] (numeric) = 2.017942433305992 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.588245564105974 " " Order of pole = 2.190344739965667 " " x[1] = 0.1910000000000001 " " y[1] (analytic) = 2.0181306618270933 " " y[1] (numeric) = 2.0181306618270933 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.588369656493402 " " Order of pole = 2.1904024696244555 " " x[1] = 0.1920000000000001 " " y[1] (analytic) = 2.018319854736294 " " y[1] (numeric) = 2.018319854736294 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5884941643023556 " " Order of pole = 2.190456525414362 " " x[1] = 0.1930000000000001 " " y[1] (analytic) = 2.018510011668753 " " y[1] (numeric) = 2.018510011668753 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5886190845370673 " " Order of pole = 2.190506857403861 " " x[1] = 0.1940000000000001 " " y[1] (analytic) = 2.0187011322579087 " " y[1] (numeric) = 2.0187011322579083 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.199875963577385400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5887444143991 " " Order of pole = 2.1905534191407483 " " x[1] = 0.1950000000000001 " " y[1] (analytic) = 2.018893216135482 " " y[1] (numeric) = 2.0188932161354813 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.199666660429558700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5888701512897303 " " Order of pole = 2.1905961676933927 " " x[1] = 0.1960000000000001 " " y[1] (analytic) = 2.0190862629314794 " " y[1] (numeric) = 2.019086262931479 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.199456348166603500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5889962928122137 " " Order of pole = 2.1906350636898466 " " x[1] = 0.1970000000000001 " " y[1] (analytic) = 2.0192802722741967 " " y[1] (numeric) = 2.0192802722741967 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5891228367737233 " " Order of pole = 2.190670071351402 " " x[1] = 0.1980000000000001 " " y[1] (analytic) = 2.019475243790221 " " y[1] (numeric) = 2.019475243790221 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5892497811873083 " " Order of pole = 2.190701158526231 " " x[1] = 0.1990000000000001 " " y[1] (analytic) = 2.019671177104432 " " y[1] (numeric) = 2.019671177104432 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5893771242732637 " " Order of pole = 2.1907282967128303 " " x[1] = 0.2000000000000001 " " y[1] (analytic) = 2.0198680718400075 " " y[1] (numeric) = 2.019868071840007 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19860502792896600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.589504864461129 " " Order of pole = 2.190751461094532 " " x[1] = 0.2010000000000001 " " y[1] (analytic) = 2.0200659276184245 " " y[1] (numeric) = 2.020065927618424 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.198389685101147500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.589633000389949 " " Order of pole = 2.1907706305432306 " " x[1] = 0.2020000000000001 " " y[1] (analytic) = 2.0202647440594625 " " y[1] (numeric) = 2.020264744059462 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.198173339191785400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5897615309102513 " " Order of pole = 2.1907857876535957 " " x[1] = 0.2030000000000001 " " y[1] (analytic) = 2.0204645207812066 " " y[1] (numeric) = 2.0204645207812066 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5898904550842796 " " Order of pole = 2.190796918746436 " " x[1] = 0.2040000000000001 " " y[1] (analytic) = 2.0206652574000508 " " y[1] (numeric) = 2.0206652574000508 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5900197721868414 " " Order of pole = 2.190804013882804 " " x[1] = 0.2050000000000001 " " y[1] (analytic) = 2.0208669535306987 " " y[1] (numeric) = 2.0208669535306987 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5901494817056494 " " Order of pole = 2.1908070668693647 " " x[1] = 0.2060000000000001 " " y[1] (analytic) = 2.0210696087861697 " " y[1] (numeric) = 2.0210696087861697 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5902795833414185 " " Order of pole = 2.1908060752593386 " " x[1] = 0.2070000000000001 " " y[1] (analytic) = 2.0212732227777988 " " y[1] (numeric) = 2.0212732227777988 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5904100770080216 " " Order of pole = 2.190801040354497 " " x[1] = 0.2080000000000001 " " y[1] (analytic) = 2.021477795115242 " " y[1] (numeric) = 2.0214777951152416 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.196854256441365400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.590540962832128 " " Order of pole = 2.1907919671981375 " " x[1] = 0.2090000000000001 " " y[1] (analytic) = 2.021683325406477 " " y[1] (numeric) = 2.0216833254064768 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.196630917756492000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5906722411528769 " " Order of pole = 2.190778864568525 " " x[1] = 0.2100000000000001 " " y[1] (analytic) = 2.0218898132578085 " " y[1] (numeric) = 2.021889813257808 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.196406584266406800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5908039125211524 " " Order of pole = 2.190761744965524 " " x[1] = 0.2110000000000001 " " y[1] (analytic) = 2.0220972582738685 " " y[1] (numeric) = 2.022097258273868 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19618125702396900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5909359776988452 " " Order of pole = 2.190740624596824 " " x[1] = 0.2120000000000001 " " y[1] (analytic) = 2.0223056600576226 " " y[1] (numeric) = 2.0223056600576217 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.39190987417212630000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5910684376577446 " " Order of pole = 2.190715523357756 " " x[1] = 0.2130000000000001 " " y[1] (analytic) = 2.0225150182103686 " " y[1] (numeric) = 2.0225150182103677 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.39145525102717800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5912012935783255 " " Order of pole = 2.1906864648092856 " " x[1] = 0.2140000000000001 " " y[1] (analytic) = 2.022725332331744 " " y[1] (numeric) = 2.0227253323317433 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.195499323371446000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5913345468483158 " " Order of pole = 2.1906534761520895 " " x[1] = 0.2150000000000001 " " y[1] (analytic) = 2.022936602019726 " " y[1] (numeric) = 2.0229366020197252 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.39054006345703800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.591468199061032 " " Order of pole = 2.190616588196651 " " x[1] = 0.2160000000000001 " " y[1] (analytic) = 2.0231488268706355 " " y[1] (numeric) = 2.023148826870635 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.195039751657670300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5916022520136022 " " Order of pole = 2.190575835331231 " " x[1] = 0.2170000000000001 " " y[1] (analytic) = 2.0233620064791404 " " y[1] (numeric) = 2.0233620064791396 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.38961696847143870000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5917367077048707 " " Order of pole = 2.1905312554844905 " " x[1] = 0.2180000000000001 " " y[1] (analytic) = 2.0235761404382577 " " y[1] (numeric) = 2.023576140438257 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.38915246108687150000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5918715683332199 " " Order of pole = 2.1904828900864395 " " x[1] = 0.2190000000000001 " " y[1] (analytic) = 2.023791228339357 " " y[1] (numeric) = 2.0237912283393564 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19434299166552220000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5920068362941666 " " Order of pole = 2.1904307840255726 " " x[1] = 0.2200000000000001 " " y[1] (analytic) = 2.0240072697721643 " " y[1] (numeric) = 2.024007269772164 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.194108768690600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5921425141777366 " " Order of pole = 2.190374985602059 " " x[1] = 0.2210000000000001 " " y[1] (analytic) = 2.0242242643247645 " " y[1] (numeric) = 2.024224264324764 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193873562711198500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.592278604765736 " " Order of pole = 2.1903155464791944 " " x[1] = 0.22200000000000011 " " y[1] (analytic) = 2.0244422115836036 " " y[1] (numeric) = 2.024442211583603 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193637374823741700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5924151110287454 " " Order of pole = 2.1902525216299296 " " x[1] = 0.22300000000000011 " " y[1] (analytic) = 2.0246611111334927 " " y[1] (numeric) = 2.0246611111334922 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193400206128532400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5925520361230214 " " Order of pole = 2.1901859692818526 " " x[1] = 0.22400000000000012 " " y[1] (analytic) = 2.0248809625576114 " " y[1] (numeric) = 2.024880962557611 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193162057729739500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5926893833871805 " " Order of pole = 2.1901159508582886 " " x[1] = 0.22500000000000012 " " y[1] (analytic) = 2.0251017654375096 " " y[1] (numeric) = 2.025101765437509 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19292293073538500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5928271563387375 " " Order of pole = 2.1900425309169798 " " x[1] = 0.22600000000000012 " " y[1] (analytic) = 2.0253235193531123 " " y[1] (numeric) = 2.025323519353112 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19268282625733090000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5929653586704076 " " Order of pole = 2.189965777084552 " " x[1] = 0.22700000000000012 " " y[1] (analytic) = 2.0255462238827215 " " y[1] (numeric) = 2.025546223882721 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.192441745411262700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5931039942464384 " " Order of pole = 2.1898857599914727 " " x[1] = 0.22800000000000012 " " y[1] (analytic) = 2.025769878603019 " " y[1] (numeric) = 2.025769878603019 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5932430670984854 " " Order of pole = 2.189802553199211 " " x[1] = 0.22900000000000012 " " y[1] (analytic) = 2.025994483089072 " " y[1] (numeric) = 2.0259944830890717 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.191956659096876700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5933825814216482 " " Order of pole = 2.1897162331300457 " " x[1] = 0.23000000000000012 " " y[1] (analytic) = 2.026220036914332 " " y[1] (numeric) = 2.026220036914332 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.593522541570108 " " Order of pole = 2.189626878989994 " " x[1] = 0.23100000000000012 " " y[1] (analytic) = 2.0264465396506424 " " y[1] (numeric) = 2.026446539650642 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19146768079370700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5936629520527965 " " Order of pole = 2.1895345726923274 " " x[1] = 0.23200000000000012 " " y[1] (analytic) = 2.026673990868238 " " y[1] (numeric) = 2.026673990868238 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.593803817528819 " " Order of pole = 2.1894393987767558 " " x[1] = 0.23300000000000012 " " y[1] (analytic) = 2.0269023901357515 " " y[1] (numeric) = 2.0269023901357515 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5939451428028297 " " Order of pole = 2.1893414443278196 " " x[1] = 0.23400000000000012 " " y[1] (analytic) = 2.0271317370202135 " " y[1] (numeric) = 2.0271317370202135 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5940869328201228 " " Order of pole = 2.1892407988883633 " " x[1] = 0.23500000000000013 " " y[1] (analytic) = 2.027362031087059 " " y[1] (numeric) = 2.027362031087059 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5942291926618688 " " Order of pole = 2.189137554375524 " " x[1] = 0.23600000000000013 " " y[1] (analytic) = 2.027593271900126 " " y[1] (numeric) = 2.0275932719001264 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.190228267200214600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.594371927539934 " " Order of pole = 2.189031804989469 " " x[1] = 0.23700000000000013 " " y[1] (analytic) = 2.027825459021665 " " y[1] (numeric) = 2.027825459021665 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5945151427918134 " " Order of pole = 2.188923647124195 " " x[1] = 0.23800000000000013 " " y[1] (analytic) = 2.0280585920123357 " " y[1] (numeric) = 2.0280585920123357 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5946588438753062 " " Order of pole = 2.1888131792737404 " " x[1] = 0.23900000000000013 " " y[1] (analytic) = 2.028292670431215 " " y[1] (numeric) = 2.028292670431215 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5948030363631822 " " Order of pole = 2.188700501938431 " " x[1] = 0.24000000000000013 " " y[1] (analytic) = 2.028527693835798 " " y[1] (numeric) = 2.028527693835798 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5949477259377582 " " Order of pole = 2.1885857175294348 " " x[1] = 0.24100000000000013 " " y[1] (analytic) = 2.0287636617820017 " " y[1] (numeric) = 2.0287636617820017 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5950929183852829 " " Order of pole = 2.1884689302700515 " " x[1] = 0.24200000000000013 " " y[1] (analytic) = 2.0290005738241685 " " y[1] (numeric) = 2.0290005738241685 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.595238619590346 " " Order of pole = 2.1883502460975173 " " x[1] = 0.24300000000000013 " " y[1] (analytic) = 2.0292384295150687 " " y[1] (numeric) = 2.029238429515069 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.188452590838167500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5953848355301503 " " Order of pole = 2.1882297725623445 " " x[1] = 0.24400000000000013 " " y[1] (analytic) = 2.0294772284059057 " " y[1] (numeric) = 2.0294772284059057 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.595531572268722 " " Order of pole = 2.1881076187267325 " " x[1] = 0.24500000000000013 " " y[1] (analytic) = 2.0297169700463162 " " y[1] (numeric) = 2.0297169700463162 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5956788359510847 " " Order of pole = 2.1879838950622315 " " x[1] = 0.24600000000000014 " " y[1] (analytic) = 2.029957653984377 " " y[1] (numeric) = 2.0299576539843764 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.187677210795060400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5958266327972839 " " Order of pole = 2.187858713345001 " " x[1] = 0.24700000000000014 " " y[1] (analytic) = 2.030199279766604 " " y[1] (numeric) = 2.030199279766604 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5959749690965017 " " Order of pole = 2.18773218655258 " " x[1] = 0.24800000000000014 " " y[1] (analytic) = 2.030441846937962 " " y[1] (numeric) = 2.0304418469379617 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18715552242866700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5961238512009714 " " Order of pole = 2.18760442875719 " " x[1] = 0.24900000000000014 " " y[1] (analytic) = 2.0306853550418604 " " y[1] (numeric) = 2.03068535504186 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.186893251322572200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5962732855199364 " " Order of pole = 2.187475555019894 " " x[1] = 0.2500000000000001 " " y[1] (analytic) = 2.0309298036201615 " " y[1] (numeric) = 2.030929803620161 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18663003053314400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5964232785135606 " " Order of pole = 2.1873456812840004 " " x[1] = 0.2510000000000001 " " y[1] (analytic) = 2.031175192213183 " " y[1] (numeric) = 2.0311751922131824 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.186365861263694600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5965738366867737 " " Order of pole = 2.1872149242671846 " " x[1] = 0.2520000000000001 " " y[1] (analytic) = 2.0314215203597006 " " y[1] (numeric) = 2.0314215203596997 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.37220148944201800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5967249665831391 " " Order of pole = 2.187083401354304 " " x[1] = 0.2530000000000001 " " y[1] (analytic) = 2.031668787596951 " " y[1] (numeric) = 2.0316687875969506 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.185834682115333200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5968766747786536 " " Order of pole = 2.1869512304888445 " " x[1] = 0.2540000000000001 " " y[1] (analytic) = 2.031916993460637 " " y[1] (numeric) = 2.0319169934606367 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.185567674660355800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.597028967875568 " " Order of pole = 2.1868185300649046 " " x[1] = 0.2550000000000001 " " y[1] (analytic) = 2.03216613748493 " " y[1] (numeric) = 2.032166137484929 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.37059944714639160000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5971818524962071 " " Order of pole = 2.186685418819142 " " x[1] = 0.2560000000000001 " " y[1] (analytic) = 2.032416219202471 " " y[1] (numeric) = 2.03241621920247 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.37006166014877800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5973353352767228 " " Order of pole = 2.186552015721656 " " x[1] = 0.2570000000000001 " " y[1] (analytic) = 2.032667238144378 " " y[1] (numeric) = 2.032667238144377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36952199077574200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5974894228609298 " " Order of pole = 2.186418439868305 " " x[1] = 0.2580000000000001 " " y[1] (analytic) = 2.032919193840248 " " y[1] (numeric) = 2.032919193840247 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36898044148192830000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5976441218941497 " " Order of pole = 2.1862848103732517 " " x[1] = 0.2590000000000001 " " y[1] (analytic) = 2.0331720858181583 " " y[1] (numeric) = 2.0331720858181574 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36843701472872600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5977994390169412 " " Order of pole = 2.1861512462595236 " " x[1] = 0.2600000000000001 " " y[1] (analytic) = 2.0334259136046726 " " y[1] (numeric) = 2.0334259136046717 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36789171298423800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5979553808590414 " " Order of pole = 2.186017866353346 " " x[1] = 0.2610000000000001 " " y[1] (analytic) = 2.0336806767248437 " " y[1] (numeric) = 2.0336806767248428 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.367344538723252000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5981119540332165 " " Order of pole = 2.1858847891769244 " " x[1] = 0.2620000000000001 " " y[1] (analytic) = 2.0339363747022157 " " y[1] (numeric) = 2.0339363747022148 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.366795494427211400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.598269165129143 " " Order of pole = 2.185752132841799 " " x[1] = 0.2630000000000001 " " y[1] (analytic) = 2.0341930070588288 " " y[1] (numeric) = 2.034193007058828 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36624458258418950000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5984270207073767 " " Order of pole = 2.1856200149437512 " " x[1] = 0.2640000000000001 " " y[1] (analytic) = 2.0344505733152225 " " y[1] (numeric) = 2.0344505733152216 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.365691805688851600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.59858552729331 " " Order of pole = 2.185488552457631 " " x[1] = 0.2650000000000001 " " y[1] (analytic) = 2.0347090729904393 " " y[1] (numeric) = 2.034709072990438 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.54770574936364800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5987446913712786 " " Order of pole = 2.1853578616346923 " " x[1] = 0.2660000000000001 " " y[1] (analytic) = 2.034968505602026 " " y[1] (numeric) = 2.0349685056020252 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.364580666752707600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5989045193785434 " " Order of pole = 2.185228057897991 " " x[1] = 0.2670000000000001 " " y[1] (analytic) = 2.0352288706660415 " " y[1] (numeric) = 2.0352288706660406 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.364022309733957500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5990650176995296 " " Order of pole = 2.1850992557421236 " " x[1] = 0.2680000000000001 " " y[1] (analytic) = 2.0354901676970556 " " y[1] (numeric) = 2.0354901676970547 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.363462097706944000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5992261926599844 " " Order of pole = 2.1849715686317097 " " x[1] = 0.26900000000000013 " " y[1] (analytic) = 2.0357523962081556 " " y[1] (numeric) = 2.0357523962081547 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36290003319887500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5993880505212776 " " Order of pole = 2.1848451089023406 " " x[1] = 0.27000000000000013 " " y[1] (analytic) = 2.0360155557109483 " " y[1] (numeric) = 2.0360155557109474 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.36233611874338400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5995505974747426 " " Order of pole = 2.1847199876623513 " " x[1] = 0.27100000000000013 " " y[1] (analytic) = 2.0362796457155645 " " y[1] (numeric) = 2.0362796457155636 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.361770356880488300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.5997138396361115 " " Order of pole = 2.18459631469619 " " x[1] = 0.27200000000000013 " " y[1] (analytic) = 2.0365446657306614 " " y[1] (numeric) = 2.0365446657306605 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.361202750156569000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.599877783040024 " " Order of pole = 2.18447419836917 " " x[1] = 0.27300000000000013 " " y[1] (analytic) = 2.0368106152634273 " " y[1] (numeric) = 2.0368106152634264 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.360633301124337600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6000424336346255 " " Order of pole = 2.1843537455338016 " " x[1] = 0.27400000000000013 " " y[1] (analytic) = 2.0370774938195844 " " y[1] (numeric) = 2.0370774938195835 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.360062012342803600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.600207797276246 " " Order of pole = 2.184235061437544 " " x[1] = 0.27500000000000013 " " y[1] (analytic) = 2.0373453009033926 " " y[1] (numeric) = 2.0373453009033913 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.53923332956587300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.600373879724217 " " Order of pole = 2.1841182496330767 " " x[1] = 0.27600000000000013 " " y[1] (analytic) = 2.037614036017652 " " y[1] (numeric) = 2.0376140360176507 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.53837088869879800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6005406866357172 " " Order of pole = 2.18400341188903 " " x[1] = 0.27700000000000014 " " y[1] (analytic) = 2.0378836986637086 " " y[1] (numeric) = 2.037883698663707 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.53750569977957600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6007082235607804 " " Order of pole = 2.1838906481036204 " " x[1] = 0.27800000000000014 " " y[1] (analytic) = 2.038154288341456 " " y[1] (numeric) = 2.0381542883414547 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.53663776668408100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6008764959374147 " " Order of pole = 2.183780056220254 " " x[1] = 0.27900000000000014 " " y[1] (analytic) = 2.0384258045493397 " " y[1] (numeric) = 2.038425804549339 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.35717806219827530000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6010455090867544 " " Order of pole = 2.1836717321437433 " " x[1] = 0.28000000000000014 " " y[1] (analytic) = 2.038698246784361 " " y[1] (numeric) = 2.03869824678436 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.356595789009232700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6012152682084266 " " Order of pole = 2.1835657696602553 " " x[1] = 0.28100000000000014 " " y[1] (analytic) = 2.0389716145420795 " " y[1] (numeric) = 2.0389716145420786 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.356011694157871000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.601385778375991 " " Order of pole = 2.1834622603586418 " " x[1] = 0.28200000000000014 " " y[1] (analytic) = 2.0392459073166176 " " y[1] (numeric) = 2.0392459073166167 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.355425780252527600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6015570445324814 " " Order of pole = 2.18336129355351 " " x[1] = 0.28300000000000014 " " y[1] (analytic) = 2.0395211246006637 " " y[1] (numeric) = 2.039521124600663 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.35483804990757200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6017290714861145 " " Order of pole = 2.1832629562112587 " " x[1] = 0.28400000000000014 " " y[1] (analytic) = 2.039797265885477 " " y[1] (numeric) = 2.0397972658854755 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.53137275861505700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6019018639060991 " " Order of pole = 2.183167332877936 " " x[1] = 0.28500000000000014 " " y[1] (analytic) = 2.0400743306608873 " " y[1] (numeric) = 2.0400743306608864 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.353657150386268700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.602075426318587 " " Order of pole = 2.183074505609465 " " x[1] = 0.28600000000000014 " " y[1] (analytic) = 2.0403523184153047 " " y[1] (numeric) = 2.040352318415304 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.35306398646853940000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6022497631027406 " " Order of pole = 2.182984553904081 " " x[1] = 0.28700000000000014 " " y[1] (analytic) = 2.0406312286357178 " " y[1] (numeric) = 2.040631228635717 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.35246901662837300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6024248784870112 " " Order of pole = 2.182897554638405 " " x[1] = 0.28800000000000014 " " y[1] (analytic) = 2.0409110608077 " " y[1] (numeric) = 2.0409110608076992 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.351872243509839500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6026007765454022 " " Order of pole = 2.18281358200322 " " x[1] = 0.28900000000000015 " " y[1] (analytic) = 2.0411918144154124 " " y[1] (numeric) = 2.0411918144154115 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.35127366976285500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6027774611940666 " " Order of pole = 2.1827327074451652 " " x[1] = 0.29000000000000015 " " y[1] (analytic) = 2.0414734889416075 " " y[1] (numeric) = 2.041473488941607 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.175336649021578000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.602954936187924 " " Order of pole = 2.1826549996087685 " " x[1] = 0.29100000000000015 " " y[1] (analytic) = 2.041756083867634 " " y[1] (numeric) = 2.041756083867633 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.35007113101226500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.60313320511741 " " Order of pole = 2.1825805242807945 " " x[1] = 0.29200000000000015 " " y[1] (analytic) = 2.042039598673437 " " y[1] (numeric) = 2.0420395986734365 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.174733585668734000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6033122714054788 " " Order of pole = 2.1825093443390315 " " x[1] = 0.29300000000000015 " " y[1] (analytic) = 2.042324032837567 " " y[1] (numeric) = 2.0423240328375663 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.348861421691770400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6034921383046945 " " Order of pole = 2.1824415197025786 " " x[1] = 0.29400000000000015 " " y[1] (analytic) = 2.042609385837178 " " y[1] (numeric) = 2.0426093858371774 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.174126942376941600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6036728088944365 " " Order of pole = 2.1823771072842995 " " x[1] = 0.29500000000000015 " " y[1] (analytic) = 2.0428956571480352 " " y[1] (numeric) = 2.042895657148035 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17382228160408900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6038542860783198 " " Order of pole = 2.1823161609467974 " " x[1] = 0.29600000000000015 " " y[1] (analytic) = 2.043182846244518 " " y[1] (numeric) = 2.043182846244517 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.34703345974466200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.604036572581806 " " Order of pole = 2.1822587314619106 " " x[1] = 0.29700000000000015 " " y[1] (analytic) = 2.04347095259962 " " y[1] (numeric) = 2.0434709525996193 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.34642057705895400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6042196709498355 " " Order of pole = 2.1822048664705136 " " x[1] = 0.29800000000000015 " " y[1] (analytic) = 2.0437599756849596 " " y[1] (numeric) = 2.0437599756849587 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.345805917852242400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.604403583544754 " " Order of pole = 2.182154610447384 " " x[1] = 0.29900000000000015 " " y[1] (analytic) = 2.0440499149707767 " " y[1] (numeric) = 2.044049914970776 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.34518948483126100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.60458831254433 " " Order of pole = 2.1821080046678425 " " x[1] = 0.30000000000000016 " " y[1] (analytic) = 2.0443407699259404 " " y[1] (numeric) = 2.04434076992594 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1722856403541300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6047738599399877 " " Order of pole = 2.1820650871779463 " " x[1] = 0.30100000000000016 " " y[1] (analytic) = 2.0446325400179526 " " y[1] (numeric) = 2.044632540017952 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17197565410048400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6049602275350823 " " Order of pole = 2.1820258927655125 " " x[1] = 0.30200000000000016 " " y[1] (analytic) = 2.0449252247129492 " " y[1] (numeric) = 2.0449252247129492 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6051474169435267 " " Order of pole = 2.181990452937299 " " x[1] = 0.30300000000000016 " " y[1] (analytic) = 2.045218823475708 " " y[1] (numeric) = 2.045218823475708 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6053354295883906 " " Order of pole = 2.1819587958956355 " " x[1] = 0.30400000000000016 " " y[1] (analytic) = 2.0455133357696473 " " y[1] (numeric) = 2.045513335769647 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.171040403816135700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6055242667008134 " " Order of pole = 2.1819309465205556 " " x[1] = 0.30500000000000016 " " y[1] (analytic) = 2.0458087610568336 " " y[1] (numeric) = 2.045808761056833 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.170726894436862700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.605713929318964 " " Order of pole = 2.1819069263526956 " " x[1] = 0.30600000000000016 " " y[1] (analytic) = 2.0461050987979843 " " y[1] (numeric) = 2.046105098797984 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1704125077003600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6059044182872468 " " Order of pole = 2.1818867535805175 " " x[1] = 0.30700000000000016 " " y[1] (analytic) = 2.0464023484524705 " " y[1] (numeric) = 2.04640234845247 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.170097244981621400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.606095734255666 " " Order of pole = 2.1818704430302986 " " x[1] = 0.30800000000000016 " " y[1] (analytic) = 2.0467005094783217 " " y[1] (numeric) = 2.0467005094783213 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.169781107658273800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.606287877679271 " " Order of pole = 2.181858006157441 " " x[1] = 0.30900000000000016 " " y[1] (analytic) = 2.0469995813322295 " " y[1] (numeric) = 2.046999581332229 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.169464097110563300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6064808488179256 " " Order of pole = 2.1818494510434974 " " x[1] = 0.31000000000000016 " " y[1] (analytic) = 2.0472995634695508 " " y[1] (numeric) = 2.0472995634695503 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16914621472133900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.606674647736018 " " Order of pole = 2.1818447823920906 " " x[1] = 0.31100000000000017 " " y[1] (analytic) = 2.047600455344312 " " y[1] (numeric) = 2.0476004553443117 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16882746187603900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.606869274302639 " " Order of pole = 2.18184400153298 " " x[1] = 0.31200000000000017 " " y[1] (analytic) = 2.0479022564092135 " " y[1] (numeric) = 2.047902256409213 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.168507839962672300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6070647281915795 " " Order of pole = 2.1818471064230494 " " x[1] = 0.31300000000000017 " " y[1] (analytic) = 2.048204966115631 " " y[1] (numeric) = 2.0482049661156307 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.168187350371806600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6072610088816204 " " Order of pole = 2.1818540916522338 " " x[1] = 0.31400000000000017 " " y[1] (analytic) = 2.0485085839136232 " " y[1] (numeric) = 2.048508583913623 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1678659944965500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6074581156574264 " " Order of pole = 2.181864948459932 " " x[1] = 0.31500000000000017 " " y[1] (analytic) = 2.048813109251931 " " y[1] (numeric) = 2.048813109251931 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6076560476096857 " " Order of pole = 2.1818796647385597 " " x[1] = 0.31600000000000017 " " y[1] (analytic) = 2.049118541577986 " " y[1] (numeric) = 2.049118541577986 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6078548036361369 " " Order of pole = 2.181898225052109 " " x[1] = 0.31700000000000017 " " y[1] (analytic) = 2.0494248803379103 " " y[1] (numeric) = 2.0494248803379103 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6080543824426525 " " Order of pole = 2.1819206106559683 " " x[1] = 0.31800000000000017 " " y[1] (analytic) = 2.0497321249765226 " " y[1] (numeric) = 2.0497321249765226 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.608254782544291 " " Order of pole = 2.181946799516016 " " x[1] = 0.3190000000000002 " " y[1] (analytic) = 2.0500402749373414 " " y[1] (numeric) = 2.0500402749373414 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6084560022664627 " " Order of pole = 2.181976766329832 " " x[1] = 0.3200000000000002 " " y[1] (analytic) = 2.050349329662589 " " y[1] (numeric) = 2.050349329662589 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6086580397466583 " " Order of pole = 2.1820104825573985 " " x[1] = 0.3210000000000002 " " y[1] (analytic) = 2.050659288593195 " " y[1] (numeric) = 2.0506592885931947 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16559236495458580000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6088608929357546 " " Order of pole = 2.1820479164447875 " " x[1] = 0.3220000000000002 " " y[1] (analytic) = 2.0509701511688 " " y[1] (numeric) = 2.0509701511687997 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16526412925603320000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.609064559599997 " " Order of pole = 2.1820890330592277 " " x[1] = 0.3230000000000002 " " y[1] (analytic) = 2.0512819168277603 " " y[1] (numeric) = 2.05128191682776 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16493503992289800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6092690373228278 " " Order of pole = 2.1821337943217465 " " x[1] = 0.3240000000000002 " " y[1] (analytic) = 2.0515945850071513 " " y[1] (numeric) = 2.0515945850071504 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.329210196745714000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.609474323506871 " " Order of pole = 2.1821821590423234 " " x[1] = 0.3250000000000002 " " y[1] (analytic) = 2.05190815514277 " " y[1] (numeric) = 2.0519081551427694 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1642743060259600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6096804153762279 " " Order of pole = 2.1822340829605196 " " x[1] = 0.3260000000000002 " " y[1] (analytic) = 2.0522226266691415 " " y[1] (numeric) = 2.052222626669141 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.163942664304609700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6098873099788453 " " Order of pole = 2.1822895187872646 " " x[1] = 0.3270000000000002 " " y[1] (analytic) = 2.0525379990195205 " " y[1] (numeric) = 2.05253799901952 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16361017463355200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6100950041889965 " " Order of pole = 2.182348416248626 " " x[1] = 0.3280000000000002 " " y[1] (analytic) = 2.052854271625897 " " y[1] (numeric) = 2.0528542716258964 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.163276838439857400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6103034947098631 " " Order of pole = 2.182410722131319 " " x[1] = 0.3290000000000002 " " y[1] (analytic) = 2.0531714439189983 " " y[1] (numeric) = 2.0531714439189974 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.325885314305812000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.61051277807638 " " Order of pole = 2.182476380332627 " " x[1] = 0.3300000000000002 " " y[1] (analytic) = 2.053489515328294 " " y[1] (numeric) = 2.0534895153282933 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.325215264408744400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.610722850658114 " " Order of pole = 2.182545331911111 " " x[1] = 0.3310000000000002 " " y[1] (analytic) = 2.0538084852820004 " " y[1] (numeric) = 2.0538084852819996 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.3245435300564206000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6109337086623015 " " Order of pole = 2.18261751513975 " " x[1] = 0.3320000000000002 " " y[1] (analytic) = 2.054128353207083 " " y[1] (numeric) = 2.054128353207082 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.32387011412127300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.611145348137172 " " Order of pole = 2.1826928655642845 " " x[1] = 0.3330000000000002 " " y[1] (analytic) = 2.054449118529261 " " y[1] (numeric) = 2.0544491185292606 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.161597509740115800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6113577649749633 " " Order of pole = 2.182771316055998 " " x[1] = 0.3340000000000002 " " y[1] (analytic) = 2.0547707806730124 " " y[1] (numeric) = 2.0547707806730116 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.322518249014688000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.611570954915701 " " Order of pole = 2.1828527968777927 " " x[1] = 0.3350000000000002 " " y[1] (analytic) = 2.055093339061575 " " y[1] (numeric) = 2.055093339061574 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.32183980561047100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6117849135505273 " " Order of pole = 2.1829372357424255 " " x[1] = 0.3360000000000002 " " y[1] (analytic) = 2.0554167931169536 " " y[1] (numeric) = 2.0554167931169527 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.32115969215781200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6119996363254625 " " Order of pole = 2.1830245578781913 " " x[1] = 0.3370000000000002 " " y[1] (analytic) = 2.055741142259921 " " y[1] (numeric) = 2.0557411422599206 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16023895577565600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6122151185452014 " " Order of pole = 2.18311468609517 " " x[1] = 0.3380000000000002 " " y[1] (analytic) = 2.0560663859100248 " " y[1] (numeric) = 2.0560663859100243 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.159897233344956500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6124313553770453 " " Order of pole = 2.1832075408537897 " " x[1] = 0.3390000000000002 " " y[1] (analytic) = 2.0563925234855884 " " y[1] (numeric) = 2.056392523485588 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15955468023843380000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6126483418548527 " " Order of pole = 2.183303040333758 " " x[1] = 0.3400000000000002 " " y[1] (analytic) = 2.056719554403717 " " y[1] (numeric) = 2.0567195544037165 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15921129790985400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.612866072883286 " " Order of pole = 2.183401100507922 " " x[1] = 0.3410000000000002 " " y[1] (analytic) = 2.0570474780803005 " " y[1] (numeric) = 2.0570474780803 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.158867087815105600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6130845432419554 " " Order of pole = 2.1835016352144905 " " x[1] = 0.3420000000000002 " " y[1] (analytic) = 2.0573762939300178 " " y[1] (numeric) = 2.0573762939300173 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.158522051412187800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6133037475898162 " " Order of pole = 2.1836045562335045 " " x[1] = 0.3430000000000002 " " y[1] (analytic) = 2.057706001366341 " " y[1] (numeric) = 2.0577060013663404 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1581761901611900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6135236804695388 " " Order of pole = 2.1837097733627857 " " x[1] = 0.3440000000000002 " " y[1] (analytic) = 2.0580365998015386 " " y[1] (numeric) = 2.0580365998015377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.315659011048561500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6137443363121007 " " Order of pole = 2.1838171944978164 " " x[1] = 0.3450000000000002 " " y[1] (analytic) = 2.0583680886466795 " " y[1] (numeric) = 2.0583680886466786 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.314963997931381400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6139657094413813 " " Order of pole = 2.1839267257114585 " " x[1] = 0.3460000000000002 " " y[1] (analytic) = 2.0587004673116382 " " y[1] (numeric) = 2.0587004673116374 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.314267343903391300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6141877940789053 " " Order of pole = 2.1840382713363695 " " x[1] = 0.3470000000000002 " " y[1] (analytic) = 2.059033735205097 " " y[1] (numeric) = 2.0590337352050962 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.313569051901207700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.614410584348534 " " Order of pole = 2.1841517340463383 " " x[1] = 0.3480000000000002 " " y[1] (analytic) = 2.0593678917345515 " " y[1] (numeric) = 2.0593678917345506 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.31286912486547500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6146340742814604 " " Order of pole = 2.184267014942982 " " x[1] = 0.3490000000000002 " " y[1] (analytic) = 2.0597029363063126 " " y[1] (numeric) = 2.0597029363063117 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.3121675657408400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6148582578210255 " " Order of pole = 2.184384013639189 " " x[1] = 0.3500000000000002 " " y[1] (analytic) = 2.060038868325513 " " y[1] (numeric) = 2.060038868325512 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.31146437747591800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.615083128827813 " " Order of pole = 2.1845026283474063 " " x[1] = 0.3510000000000002 " " y[1] (analytic) = 2.0603756871961085 " " y[1] (numeric) = 2.0603756871961076 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.31075956302326300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6153086810846913 " " Order of pole = 2.1846227559669735 " " x[1] = 0.3520000000000002 " " y[1] (analytic) = 2.0607133923208845 " " y[1] (numeric) = 2.060713392320884 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.155026562669667700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6155349083019992 " " Order of pole = 2.1847442921738818 " " x[1] = 0.3530000000000002 " " y[1] (analytic) = 2.0610519831014584 " " y[1] (numeric) = 2.061051983101458 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.154672533692235700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6157618041226596 " " Order of pole = 2.1848671315092787 " " x[1] = 0.3540000000000002 " " y[1] (analytic) = 2.0613914589382833 " " y[1] (numeric) = 2.061391458938283 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.154317696061427000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6159893621275208 " " Order of pole = 2.1849911674718214 " " x[1] = 0.3550000000000002 " " y[1] (analytic) = 2.061731819230653 " " y[1] (numeric) = 2.0617318192306526 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.153962051261240400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.616217575840563 " " Order of pole = 2.1851162926077556 " " x[1] = 0.3560000000000002 " " y[1] (analytic) = 2.062073063376706 " " y[1] (numeric) = 2.0620730633767055 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.153605600777565600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6164464387343536 " " Order of pole = 2.1852423986051015 " " x[1] = 0.3570000000000002 " " y[1] (analytic) = 2.062415190773428 " " y[1] (numeric) = 2.0624151907734274 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.153248346098170500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6166759442353151 " " Order of pole = 2.185369376384756 " " x[1] = 0.3580000000000002 " " y[1] (analytic) = 2.0627582008166576 " " y[1] (numeric) = 2.062758200816657 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.152890288712682000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6169060857292543 " " Order of pole = 2.1854971161958936 " " x[1] = 0.3590000000000002 " " y[1] (analytic) = 2.0631020929010897 " " y[1] (numeric) = 2.0631020929010893 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.152531430112573400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6171368565666946 " " Order of pole = 2.1856255077080853 " " x[1] = 0.3600000000000002 " " y[1] (analytic) = 2.063446866420279 " " y[1] (numeric) = 2.0634468664202785 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15217177179114900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6173682500685005 " " Order of pole = 2.1857544401082514 " " x[1] = 0.3610000000000002 " " y[1] (analytic) = 2.0637925207666448 " " y[1] (numeric) = 2.0637925207666443 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15181131524352610000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6176002595312642 " " Order of pole = 2.185883802193654 " " x[1] = 0.3620000000000002 " " y[1] (analytic) = 2.064139055331474 " " y[1] (numeric) = 2.0641390553314736 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15145006196662300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.617832878232798 " " Order of pole = 2.1860134824665316 " " x[1] = 0.3630000000000002 " " y[1] (analytic) = 2.0644864695049265 " " y[1] (numeric) = 2.0644864695049256 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.302176026918280700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6180660994378215 " " Order of pole = 2.186143369232113 " " x[1] = 0.3640000000000002 " " y[1] (analytic) = 2.064834762676037 " " y[1] (numeric) = 2.0648347626760364 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.150725171221549200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6182999164033547 " " Order of pole = 2.186273350691579 " " x[1] = 0.3650000000000002 " " y[1] (analytic) = 2.0651839342327216 " " y[1] (numeric) = 2.065183934232721 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15036153675607200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6185343223843027 " " Order of pole = 2.1864033150381417 " " x[1] = 0.3660000000000002 " " y[1] (analytic) = 2.0655339835617808 " " y[1] (numeric) = 2.06553398356178 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.2999942231333400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6187693106390073 " " Order of pole = 2.1865331505526697 " " x[1] = 0.3670000000000002 " " y[1] (analytic) = 2.0658849100489016 " " y[1] (numeric) = 2.0658849100489007 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29926379431805400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6190048744347816 " " Order of pole = 2.186662745698907 " " x[1] = 0.3680000000000002 " " y[1] (analytic) = 2.066236713078665 " " y[1] (numeric) = 2.066236713078664 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29853179008106600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6192410070534156 " " Order of pole = 2.1867919892181327 " " x[1] = 0.3690000000000002 " " y[1] (analytic) = 2.066589392034547 " " y[1] (numeric) = 2.066589392034546 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29779821344054240000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6194777017967121 " " Order of pole = 2.186920770224365 " " x[1] = 0.3700000000000002 " " y[1] (analytic) = 2.066942946298925 " " y[1] (numeric) = 2.066942946298924 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29706306741799770000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6197149519919332 " " Order of pole = 2.187048978297927 " " x[1] = 0.3710000000000002 " " y[1] (analytic) = 2.067297375253079 " " y[1] (numeric) = 2.0672973752530783 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29632635503827350000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6199527509972858 " " Order of pole = 2.1871765035797317 " " x[1] = 0.3720000000000002 " " y[1] (analytic) = 2.0676526782771996 " " y[1] (numeric) = 2.0676526782771982 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.4433821189942510000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6201910922073957 " " Order of pole = 2.1873032368652154 " " x[1] = 0.3730000000000002 " " y[1] (analytic) = 2.0680088547503868 " " y[1] (numeric) = 2.0680088547503854 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.44227236498460500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6204299690586113 " " Order of pole = 2.1874290696953764 " " x[1] = 0.3740000000000002 " " y[1] (analytic) = 2.0683659040506592 " " y[1] (numeric) = 2.068365904050658 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.44116027508040800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.62066937503445 " " Order of pole = 2.18755389445025 " " x[1] = 0.3750000000000002 " " y[1] (analytic) = 2.0687238255549545 " " y[1] (numeric) = 2.0687238255549536 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29336390255892700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.620909303670858 " " Order of pole = 2.187677604439049 " " x[1] = 0.3760000000000002 " " y[1] (analytic) = 2.0690826186391362 " " y[1] (numeric) = 2.069082618639135 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.43892910582003900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6211497485615185 " " Order of pole = 2.1878000939911857 " " x[1] = 0.3770000000000002 " " y[1] (analytic) = 2.069442282677994 " " y[1] (numeric) = 2.069442282677993 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.291873357061034600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6213907033630137 " " Order of pole = 2.1879212585446908 " " x[1] = 0.3780000000000002 " " y[1] (analytic) = 2.069802817045252 " " y[1] (numeric) = 2.069802817045251 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.291125765149188500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6216321618000415 " " Order of pole = 2.1880409947355766 " " x[1] = 0.3790000000000002 " " y[1] (analytic) = 2.0701642211135702 " " y[1] (numeric) = 2.0701642211135693 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.29037663119480300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6218741176704705 " " Order of pole = 2.1881592004842823 " " x[1] = 0.3800000000000002 " " y[1] (analytic) = 2.070526494254549 " " y[1] (numeric) = 2.0705264942545476 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.43443893737686200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6221165648503684 " " Order of pole = 2.1882757750817845 " " x[1] = 0.3810000000000002 " " y[1] (analytic) = 2.0708896358387325 " " y[1] (numeric) = 2.070889635838731 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.43331062406232600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6223594972989834 " " Order of pole = 2.188390619274724 " " x[1] = 0.38200000000000023 " " y[1] (analytic) = 2.071253645235615 " " y[1] (numeric) = 2.071253645235614 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.43218001143764300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6226029090635805 " " Order of pole = 2.1885036353480594 " " x[1] = 0.38300000000000023 " " y[1] (analytic) = 2.071618521813643 " " y[1] (numeric) = 2.0716185218136416 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.43104710409629600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6228467942843174 " " Order of pole = 2.1886147272083534 " " x[1] = 0.38400000000000023 " " y[1] (analytic) = 2.071984264940219 " " y[1] (numeric) = 2.071984264940218 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42991190663615500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6230911471988378 " " Order of pole = 2.1887238004621814 " " x[1] = 0.38500000000000023 " " y[1] (analytic) = 2.0723508739817067 " " y[1] (numeric) = 2.072350873981706 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.28584961577295800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6233359621470447 " " Order of pole = 2.188830762497581 " " x[1] = 0.38600000000000023 " " y[1] (analytic) = 2.072718348303435 " " y[1] (numeric) = 2.072718348303434 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.285089773181766600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.623581233575549 " " Order of pole = 2.188935522559884 " " x[1] = 0.38700000000000023 " " y[1] (analytic) = 2.073086687269701 " " y[1] (numeric) = 2.0730866872697 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42649261958655700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6238269560421008 " " Order of pole = 2.1890379918272274 " " x[1] = 0.38800000000000023 " " y[1] (analytic) = 2.0734558902437747 " " y[1] (numeric) = 2.0734558902437734 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42534830771612900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.624073124220019 " " Order of pole = 2.1891380834860037 " " x[1] = 0.38900000000000023 " " y[1] (analytic) = 2.073825956587904 " " y[1] (numeric) = 2.0738259565879025 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42420172878049600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6243197329023062 " " Order of pole = 2.1892357128008157 " " x[1] = 0.39000000000000024 " " y[1] (analytic) = 2.074196885663316 " " y[1] (numeric) = 2.074196885663315 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42305288740290600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6245667770058434 " " Order of pole = 2.1893307971858817 " " x[1] = 0.39100000000000024 " " y[1] (analytic) = 2.074568676830226 " " y[1] (numeric) = 2.0745686768302245 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42190178821067300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6248142515754762 " " Order of pole = 2.189423256274452 " " x[1] = 0.39200000000000024 " " y[1] (analytic) = 2.0749413294478347 " " y[1] (numeric) = 2.0749413294478334 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.42074843583514400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6250621517877295 " " Order of pole = 2.1895130119817914 " " x[1] = 0.39300000000000024 " " y[1] (analytic) = 2.075314842874339 " " y[1] (numeric) = 2.0753148428743375 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.41959283491163800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6253104729547483 " " Order of pole = 2.189599988572155 " " x[1] = 0.39400000000000024 " " y[1] (analytic) = 2.0756892164669316 " " y[1] (numeric) = 2.07568921646693 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.55791332010588700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6255592105279781 " " Order of pole = 2.1896841127210642 " " x[1] = 0.39500000000000024 " " y[1] (analytic) = 2.0760644495818066 " " y[1] (numeric) = 2.076064449581805 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.55636654130883100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6258083601015354 " " Order of pole = 2.189765313572405 " " x[1] = 0.39600000000000024 " " y[1] (analytic) = 2.076440541574164 " " y[1] (numeric) = 2.0764405415741622 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.55481678302034000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6260579174157574 " " Order of pole = 2.1898435227984585 " " x[1] = 0.39700000000000024 " " y[1] (analytic) = 2.0768174917982134 " " y[1] (numeric) = 2.0768174917982116 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.55326405144147300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6263078783604925 " " Order of pole = 2.1899186746555372 " " x[1] = 0.39800000000000024 " " y[1] (analytic) = 2.077195299607177 " " y[1] (numeric) = 2.0771952996071756 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.4137812645837200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6265582389781 " " Order of pole = 2.189990706034518 " " x[1] = 0.39900000000000024 " " y[1] (analytic) = 2.077573964353296 " " y[1] (numeric) = 2.0775739643532947 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.41261226993135700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6268089954665823 " " Order of pole = 2.1900595565136705 " " x[1] = 0.40000000000000024 " " y[1] (analytic) = 2.0779534853878325 " " y[1] (numeric) = 2.0779534853878308 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.54858807904792200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6270601441824852 " " Order of pole = 2.190125168407551 " " x[1] = 0.40100000000000025 " " y[1] (analytic) = 2.078333862061074 " " y[1] (numeric) = 2.078333862061072 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.54702351641735700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6273116816433817 " " Order of pole = 2.1901874868084903 " " x[1] = 0.40200000000000025 " " y[1] (analytic) = 2.0787150937223386 " " y[1] (numeric) = 2.0787150937223364 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.06818200144695050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6275636045307045 " " Order of pole = 2.1902464596343414 " " x[1] = 0.40300000000000025 " " y[1] (analytic) = 2.079097179719978 " " y[1] (numeric) = 2.0790971797199758 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.06798569634410850000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6278159096923392 " " Order of pole = 2.1903020376719553 " " x[1] = 0.40400000000000025 " " y[1] (analytic) = 2.079480119401382 " " y[1] (numeric) = 2.0794801194013797 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.0677890250230000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6280685941442057 " " Order of pole = 2.1903541746031223 " " x[1] = 0.40500000000000025 " " y[1] (analytic) = 2.079863912112982 " " y[1] (numeric) = 2.07986391211298 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.06759198826355440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.628321655073372 " " Order of pole = 2.19040282705717 " " x[1] = 0.40600000000000025 " " y[1] (analytic) = 2.0802485572002563 " " y[1] (numeric) = 2.0802485572002545 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.53915669477014600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6285750898389313 " " Order of pole = 2.190447954624627 " " x[1] = 0.40700000000000025 " " y[1] (analytic) = 2.0806340540077333 " " y[1] (numeric) = 2.0806340540077315 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.53757457241756800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6288288959749593 " " Order of pole = 2.190489519907217 " " x[1] = 0.40800000000000025 " " y[1] (analytic) = 2.081020401878995 " " y[1] (numeric) = 2.0810204018789933 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.53598954530355500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6290830711913278 " " Order of pole = 2.1905274885304387 " " x[1] = 0.40900000000000025 " " y[1] (analytic) = 2.081407600156683 " " y[1] (numeric) = 2.0814076001566812 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.53440161968530700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6293376133757478 " " Order of pole = 2.1905618291776427 " " x[1] = 0.41000000000000025 " " y[1] (analytic) = 2.0817956481825 " " y[1] (numeric) = 2.0817956481824984 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.53281080182432200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6295925205947575 " " Order of pole = 2.1905925136057327 " " x[1] = 0.41100000000000025 " " y[1] (analytic) = 2.0821845452972165 " " y[1] (numeric) = 2.0821845452972148 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.5312170979863300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.629847791095206 " " Order of pole = 2.1906195166696243 " " x[1] = 0.41200000000000025 " " y[1] (analytic) = 2.082574290840673 " " y[1] (numeric) = 2.0825742908406712 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.52962051444123200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.630103423305133 " " Order of pole = 2.1906428163359912 " " x[1] = 0.41300000000000026 " " y[1] (analytic) = 2.0829648841517847 " " y[1] (numeric) = 2.082964884151783 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.52802105746305100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6303594158346797 " " Order of pole = 2.1906623936978846 " " x[1] = 0.41400000000000026 " " y[1] (analytic) = 2.0833563245685456 " " y[1] (numeric) = 2.083356324568544 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.52641873332986600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6306157674768962 " " Order of pole = 2.1906782329873735 " " x[1] = 0.41500000000000026 " " y[1] (analytic) = 2.0837486114280326 " " y[1] (numeric) = 2.0837486114280312 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.39361016124281600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6308724772081515 " " Order of pole = 2.1906903215813003 " " x[1] = 0.41600000000000026 " " y[1] (analytic) = 2.08414174406641 " " y[1] (numeric) = 2.0841417440664087 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3924041315480500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6311295441886577 " " Order of pole = 2.190698650009267 " " x[1] = 0.41700000000000026 " " y[1] (analytic) = 2.0845357218189333 " " y[1] (numeric) = 2.084535721818932 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.39119596563052400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6313869677626558 " " Order of pole = 2.190703211955487 " " x[1] = 0.41800000000000026 " " y[1] (analytic) = 2.084930544019952 " " y[1] (numeric) = 2.084930544019951 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3899856682105300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6316447474584692 " " Order of pole = 2.1907040042586132 " " x[1] = 0.41900000000000026 " " y[1] (analytic) = 2.085326210002916 " " y[1] (numeric) = 2.085326210002915 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.38877324401118400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6319028829884774 " " Order of pole = 2.1907010269100837 " " x[1] = 0.42000000000000026 " " y[1] (analytic) = 2.085722719100378 " " y[1] (numeric) = 2.0857227191003767 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3875586977583800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6321613742487977 " " Order of pole = 2.1906942830474954 " " x[1] = 0.42100000000000026 " " y[1] (analytic) = 2.086120070643998 " " y[1] (numeric) = 2.0861200706439966 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.38634203418075000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6324202213189467 " " Order of pole = 2.190683778947598 " " x[1] = 0.42200000000000026 " " y[1] (analytic) = 2.086518263964548 " " y[1] (numeric) = 2.0865182639645465 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.38512325800961400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6326794244612466 " " Order of pole = 2.190669524014961 " " x[1] = 0.42300000000000026 " " y[1] (analytic) = 2.0869172983919144 " " y[1] (numeric) = 2.0869172983919135 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.255934915985966600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6329389841200646 " " Order of pole = 2.1906515307678305 " " x[1] = 0.42400000000000027 " " y[1] (analytic) = 2.0873171732551055 " " y[1] (numeric) = 2.087317173255104 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3826793868253300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6331989009210033 " " Order of pole = 2.1906298148230263 " " x[1] = 0.42500000000000027 " " y[1] (analytic) = 2.087717887882251 " " y[1] (numeric) = 2.0877178878822495 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.381454301287900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6334591756697943 " " Order of pole = 2.1906043948758303 " " x[1] = 0.42600000000000027 " " y[1] (analytic) = 2.088119441600609 " " y[1] (numeric) = 2.088119441600608 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25348474807221100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6337198093511676 " " Order of pole = 2.1905752926795827 " " x[1] = 0.42700000000000027 " " y[1] (analytic) = 2.088521833736571 " " y[1] (numeric) = 2.08852183373657 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25266523602047640000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6339808031274674 " " Order of pole = 2.1905425330207002 " " x[1] = 0.42800000000000027 " " y[1] (analytic) = 2.088925063615663 " " y[1] (numeric) = 2.0889250636156618 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3777665018016600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6342421583371456 " " Order of pole = 2.1905061436918842 " " x[1] = 0.42900000000000027 " " y[1] (analytic) = 2.089329130562551 " " y[1] (numeric) = 2.0893291305625503 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.251022046780076000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6345038764931683 " " Order of pole = 2.190466155463625 " " x[1] = 0.43000000000000027 " " y[1] (analytic) = 2.089734033901047 " " y[1] (numeric) = 2.089734033901046 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25019837592491600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6347659592811592 " " Order of pole = 2.190422602051381 " " x[1] = 0.43100000000000027 " " y[1] (analytic) = 2.090139772954108 " " y[1] (numeric) = 2.0901397729541076 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.124686662569016700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6350284085575342 " " Order of pole = 2.1903755200825685 " " x[1] = 0.4320000000000003 " " y[1] (analytic) = 2.0905463470438472 " " y[1] (numeric) = 2.0905463470438463 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.24854689759000370000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6352912263473336 " " Order of pole = 2.1903249490583434 " " x[1] = 0.4330000000000003 " " y[1] (analytic) = 2.0909537554915314 " " y[1] (numeric) = 2.0909537554915305 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.24771909645288400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.63555441484206 " " Order of pole = 2.190270931315588 " " x[1] = 0.4340000000000003 " " y[1] (analytic) = 2.0913619976175886 " " y[1] (numeric) = 2.0913619976175877 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.2468899249001800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6358179763972815 " " Order of pole = 2.19021351198489 " " x[1] = 0.4350000000000003 " " y[1] (analytic) = 2.0917710727416123 " " y[1] (numeric) = 2.091771072741611 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.36908907916022800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.636081913530182 " " Order of pole = 2.1901527389475746 " " x[1] = 0.4360000000000003 " " y[1] (analytic) = 2.092180980182363 " " y[1] (numeric) = 2.0921809801823623 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.245227483249120500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.636346228916856 " " Order of pole = 2.1900886627884475 " " x[1] = 0.4370000000000003 " " y[1] (analytic) = 2.0925917192577765 " " y[1] (numeric) = 2.0925917192577757 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.244394219504768500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6366109253896237 " " Order of pole = 2.19002133674892 " " x[1] = 0.4380000000000003 " " y[1] (analytic) = 2.0930032892849626 " " y[1] (numeric) = 2.0930032892849617 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.24355959805278500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6368760059340857 " " Order of pole = 2.1899508166757116 " " x[1] = 0.4390000000000003 " " y[1] (analytic) = 2.0934156895802136 " " y[1] (numeric) = 2.0934156895802127 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.242723622073497600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.637141473686154 " " Order of pole = 2.189877160969072 " " x[1] = 0.4400000000000003 " " y[1] (analytic) = 2.093828919459007 " " y[1] (numeric) = 2.093828919459006 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.241886294748515000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6374073319288556 " " Order of pole = 2.1898004305273666 " " x[1] = 0.4410000000000003 " " y[1] (analytic) = 2.094242978236009 " " y[1] (numeric) = 2.0942429782360077 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.36157142889104100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.637673584089163 " " Order of pole = 2.189720688691885 " " x[1] = 0.4420000000000003 " " y[1] (analytic) = 2.0946578652250776 " " y[1] (numeric) = 2.0946578652250767 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.240207598794124600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6379402337345623 " " Order of pole = 2.189638001187454 " " x[1] = 0.4430000000000003 " " y[1] (analytic) = 2.0950735797392706 " " y[1] (numeric) = 2.0950735797392697 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.23936623653407900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6382072845696147 " " Order of pole = 2.189552436062769 " " x[1] = 0.4440000000000003 " " y[1] (analytic) = 2.0954901210908456 " " y[1] (numeric) = 2.0954901210908443 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.35778530350050800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6384747404323439 " " Order of pole = 2.1894640636279377 " " x[1] = 0.4450000000000003 " " y[1] (analytic) = 2.0959074885912656 " " y[1] (numeric) = 2.0959074885912643 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.35651924907073300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6387426052905683 " " Order of pole = 2.189372956391008 " " x[1] = 0.4460000000000003 " " y[1] (analytic) = 2.096325681551203 " " y[1] (numeric) = 2.096325681551202 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.23683413086322700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6390108832380932 " " Order of pole = 2.1892791889922414 " " x[1] = 0.4470000000000003 " " y[1] (analytic) = 2.0967446992805443 " " y[1] (numeric) = 2.0967446992805434 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.23598743330499800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6392795784908771 " " Order of pole = 2.1891828381378993 " " x[1] = 0.4480000000000003 " " y[1] (analytic) = 2.0971645410883935 " " y[1] (numeric) = 2.0971645410883926 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.23513940989663800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6395486953829697 " " Order of pole = 2.1890839825301995 " " x[1] = 0.4490000000000003 " " y[1] (analytic) = 2.097585206283076 " " y[1] (numeric) = 2.097585206283075 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.234290063830010700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6398182383625375 " " Order of pole = 2.188982702798903 " " x[1] = 0.4500000000000003 " " y[1] (analytic) = 2.0980066941721427 " " y[1] (numeric) = 2.098006694172142 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.233439398297981000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6400882119876539 " " Order of pole = 2.18887908142872 " " x[1] = 0.4510000000000003 " " y[1] (analytic) = 2.0984290040623748 " " y[1] (numeric) = 2.0984290040623743 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.116293708247192800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6403586209220946 " " Order of pole = 2.188773202687088 " " x[1] = 0.4520000000000003 " " y[1] (analytic) = 2.0988521352597878 " " y[1] (numeric) = 2.0988521352597873 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.115867060807001300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6406294699310375 " " Order of pole = 2.1886651525501613 " " x[1] = 0.4530000000000003 " " y[1] (analytic) = 2.099276087069634 " " y[1] (numeric) = 2.0992760870696334 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.115439758426267400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.640900763876664 " " Order of pole = 2.1885550186273477 " " x[1] = 0.4540000000000003 " " y[1] (analytic) = 2.0997008587964086 " " y[1] (numeric) = 2.099700858796408 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11501180270328400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6411725077137405 " " Order of pole = 2.1884428900853905 " " x[1] = 0.4550000000000003 " " y[1] (analytic) = 2.1001264497438523 " " y[1] (numeric) = 2.100126449743852 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11458319523677800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6414447064850854 " " Order of pole = 2.188328857570628 " " x[1] = 0.4560000000000003 " " y[1] (analytic) = 2.1005528592149565 " " y[1] (numeric) = 2.1005528592149565 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6417173653170347 " " Order of pole = 2.1882130131313424 " " x[1] = 0.4570000000000003 " " y[1] (analytic) = 2.100980086511967 " " y[1] (numeric) = 2.1009800865119668 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11372403147017200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6419904894147728 " " Order of pole = 2.1880954501377055 " " x[1] = 0.4580000000000003 " " y[1] (analytic) = 2.101408130936387 " " y[1] (numeric) = 2.101408130936387 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.642264084057704 " " Order of pole = 2.1879762632025503 " " x[1] = 0.4590000000000003 " " y[1] (analytic) = 2.101836991788982 " " y[1] (numeric) = 2.101836991788982 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6425381545947089 " " Order of pole = 2.187855548100327 " " x[1] = 0.4600000000000003 " " y[1] (analytic) = 2.1022666683697855 " " y[1] (numeric) = 2.1022666683697855 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6428127064394018 " " Order of pole = 2.1877334016859287 " " x[1] = 0.4610000000000003 " " y[1] (analytic) = 2.1026971599780993 " " y[1] (numeric) = 2.1026971599780993 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6430877450653096 " " Order of pole = 2.187609921812406 " " x[1] = 0.4620000000000003 " " y[1] (analytic) = 2.103128465912501 " " y[1] (numeric) = 2.103128465912501 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6433632760010273 " " Order of pole = 2.18748520724823 " " x[1] = 0.4630000000000003 " " y[1] (analytic) = 2.103560585470847 " " y[1] (numeric) = 2.1035605854708463 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.111131064716449400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6436393048254256 " " Order of pole = 2.1873593575955574 " " x[1] = 0.4640000000000003 " " y[1] (analytic) = 2.1039935179502742 " " y[1] (numeric) = 2.103993517950274 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11069666356528300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6439158371626863 " " Order of pole = 2.1872324732055795 " " x[1] = 0.4650000000000003 " " y[1] (analytic) = 2.104427262647209 " " y[1] (numeric) = 2.1044272626472087 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.110261626678568100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6441928786774322 " " Order of pole = 2.1871046550955526 " " x[1] = 0.4660000000000003 " " y[1] (analytic) = 2.104861818857367 " " y[1] (numeric) = 2.1048618188573665 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10982595565887700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6444704350698227 " " Order of pole = 2.186976004865297 " " x[1] = 0.4670000000000003 " " y[1] (analytic) = 2.105297185875758 " " y[1] (numeric) = 2.1052971858757576 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.109389652109049400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6447485120705416 " " Order of pole = 2.1868466246119027 " " x[1] = 0.4680000000000003 " " y[1] (analytic) = 2.1057333629966917 " " y[1] (numeric) = 2.1057333629966917 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6450271154359977 " " Order of pole = 2.1867166168481518 " " x[1] = 0.4690000000000003 " " y[1] (analytic) = 2.1061703495137802 " " y[1] (numeric) = 2.1061703495137802 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6453062509432186 " " Order of pole = 2.1865860844156977 " " x[1] = 0.4700000000000003 " " y[1] (analytic) = 2.1066081447199423 " " y[1] (numeric) = 2.1066081447199423 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6455859243850168 " " Order of pole = 2.186455130402983 " " x[1] = 0.4710000000000003 " " y[1] (analytic) = 2.107046747907408 " " y[1] (numeric) = 2.107046747907408 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6458661415650184 " " Order of pole = 2.186323858060934 " " x[1] = 0.4720000000000003 " " y[1] (analytic) = 2.107486158367722 " " y[1] (numeric) = 2.107486158367722 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6461469082927125 " " Order of pole = 2.186192370718903 " " x[1] = 0.4730000000000003 " " y[1] (analytic) = 2.107926375391747 " " y[1] (numeric) = 2.107926375391747 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6464282303785662 " " Order of pole = 2.1860607717019676 " " x[1] = 0.4740000000000003 " " y[1] (analytic) = 2.108367398269671 " " y[1] (numeric) = 2.108367398269671 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6467101136291213 " " Order of pole = 2.1859291642477814 " " x[1] = 0.4750000000000003 " " y[1] (analytic) = 2.1088092262910068 " " y[1] (numeric) = 2.1088092262910068 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.646992563842088 " " Order of pole = 2.1857976514236235 " " x[1] = 0.4760000000000003 " " y[1] (analytic) = 2.1092518587445994 " " y[1] (numeric) = 2.1092518587445994 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6472755868015279 " " Order of pole = 2.185666336044857 " " x[1] = 0.4770000000000003 " " y[1] (analytic) = 2.109695294918629 " " y[1] (numeric) = 2.1096952949186285 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10499218024369300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6475591882730114 " " Order of pole = 2.185535320593093 " " x[1] = 0.4780000000000003 " " y[1] (analytic) = 2.1101395341006133 " " y[1] (numeric) = 2.1101395341006133 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6478433739988245 " " Order of pole = 2.18540470713522 " " x[1] = 0.4790000000000003 " " y[1] (analytic) = 2.1105845755774153 " " y[1] (numeric) = 2.1105845755774153 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.648128149693224 " " Order of pole = 2.185274597243289 " " x[1] = 0.4800000000000003 " " y[1] (analytic) = 2.1110304186352438 " " y[1] (numeric) = 2.1110304186352438 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.64841352103773 " " Order of pole = 2.1851450919151496 " " x[1] = 0.4810000000000003 " " y[1] (analytic) = 2.1114770625596586 " " y[1] (numeric) = 2.1114770625596586 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.648699493676423 " " Order of pole = 2.1850162914951596 " " x[1] = 0.4820000000000003 " " y[1] (analytic) = 2.1119245066355754 " " y[1] (numeric) = 2.1119245066355754 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6489860732113557 " " Order of pole = 2.184888295596867 " " x[1] = 0.4830000000000003 " " y[1] (analytic) = 2.1123727501472684 " " y[1] (numeric) = 2.1123727501472684 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6492732651979898 " " Order of pole = 2.1847612030261985 " " x[1] = 0.4840000000000003 " " y[1] (analytic) = 2.1128217923783756 " " y[1] (numeric) = 2.1128217923783756 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.649561075140631 " " Order of pole = 2.1846351117047824 " " x[1] = 0.4850000000000003 " " y[1] (analytic) = 2.1132716326119017 " " y[1] (numeric) = 2.1132716326119017 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6498495084879878 " " Order of pole = 2.184510118595135 " " x[1] = 0.4860000000000003 " " y[1] (analytic) = 2.1137222701302227 " " y[1] (numeric) = 2.1137222701302223 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.100981837234004400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6501385706288163 " " Order of pole = 2.1843863196276523 " " x[1] = 0.4870000000000003 " " y[1] (analytic) = 2.1141737042150894 " " y[1] (numeric) = 2.114173704215089 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.100533219974636300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6504282668875194 " " Order of pole = 2.184263809626721 " " x[1] = 0.4880000000000003 " " y[1] (analytic) = 2.1146259341476323 " " y[1] (numeric) = 2.114625934147632 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.100084003883490600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.650718602519916 " " Order of pole = 2.1841426822397274 " " x[1] = 0.4890000000000003 " " y[1] (analytic) = 2.1150789592083648 " " y[1] (numeric) = 2.1150789592083643 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09963419056599700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6510095827090443 " " Order of pole = 2.184023029866836 " " x[1] = 0.4900000000000003 " " y[1] (analytic) = 2.1155327786771876 " " y[1] (numeric) = 2.115532778677187 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.099183781627554400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6513012125610151 " " Order of pole = 2.1839049435914966 " " x[1] = 0.4910000000000003 " " y[1] (analytic) = 2.115987391833392 " " y[1] (numeric) = 2.1159873918333916 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.098732778673518500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6515934971009967 " " Order of pole = 2.1837885131133277 " " x[1] = 0.4920000000000003 " " y[1] (analytic) = 2.1164427979556653 " " y[1] (numeric) = 2.116442797955665 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0982811833091900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.651886441269185 " " Order of pole = 2.1836738266807387 " " x[1] = 0.4930000000000003 " " y[1] (analytic) = 2.116898996322093 " " y[1] (numeric) = 2.1168989963220928 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.097828997139800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6521800499169876 " " Order of pole = 2.1835609710272834 " " x[1] = 0.4940000000000003 " " y[1] (analytic) = 2.1173559862101645 " " y[1] (numeric) = 2.117355986210164 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.097376221770500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.652474327803164 " " Order of pole = 2.1834500313072027 " " x[1] = 0.49500000000000033 " " y[1] (analytic) = 2.117813766896776 " " y[1] (numeric) = 2.117813766896775 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.193845717612694000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6527692795901283 " " Order of pole = 2.183341091033853 " " x[1] = 0.49600000000000033 " " y[1] (analytic) = 2.118272337658233 " " y[1] (numeric) = 2.1182723376582326 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.096468909852293700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6530649098403016 " " Order of pole = 2.1832342320189717 " " x[1] = 0.49700000000000033 " " y[1] (analytic) = 2.1187316977702593 " " y[1] (numeric) = 2.118731697770259 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09601437651317280000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.653361223012603 " " Order of pole = 2.1831295343143324 " " x[1] = 0.49800000000000033 " " y[1] (analytic) = 2.119191846507995 " " y[1] (numeric) = 2.1191918465079946 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.095559260393687000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6536582234589576 " " Order of pole = 2.1830270761537065 " " x[1] = 0.49900000000000033 " " y[1] (analytic) = 2.1196527831460044 " " y[1] (numeric) = 2.119652783146004 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.095103563098396600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6539559154209769 " " Order of pole = 2.182926933897786 " " x[1] = 0.5000000000000003 " " y[1] (analytic) = 2.1201145069582776 " " y[1] (numeric) = 2.120114506958277 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.094647286231705300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6542543030267136 " " Order of pole = 2.182829181980427 " " x[1] = 0.5010000000000003 " " y[1] (analytic) = 2.120577017218237 " " y[1] (numeric) = 2.1205770172182365 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.094190431397850400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.654553390287465 " " Order of pole = 2.18273389285568 " " x[1] = 0.5020000000000003 " " y[1] (analytic) = 2.1210403131987388 " " y[1] (numeric) = 2.1210403131987383 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09373300020088800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6548531810947573 " " Order of pole = 2.1826411369479572 " " x[1] = 0.5030000000000003 " " y[1] (analytic) = 2.1215043941720775 " " y[1] (numeric) = 2.1215043941720775 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6551536792173513 " " Order of pole = 2.1825509826025886 " " x[1] = 0.5040000000000003 " " y[1] (analytic) = 2.1219692594099917 " " y[1] (numeric) = 2.1219692594099917 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6554548882984224 " " Order of pole = 2.182463496039304 " " x[1] = 0.5050000000000003 " " y[1] (analytic) = 2.1224349081836658 " " y[1] (numeric) = 2.1224349081836658 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6557568118528476 " " Order of pole = 2.182378741307623 " " x[1] = 0.5060000000000003 " " y[1] (analytic) = 2.122901339763734 " " y[1] (numeric) = 2.1229013397637346 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09189754385612210000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6560594532645139 " " Order of pole = 2.1822967802425453 " " x[1] = 0.5070000000000003 " " y[1] (analytic) = 2.1233685534202875 " " y[1] (numeric) = 2.1233685534202875 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6563628157837982 " " Order of pole = 2.1822176724232563 " " x[1] = 0.5080000000000003 " " y[1] (analytic) = 2.1238365484228727 " " y[1] (numeric) = 2.1238365484228727 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6566669025251983 " " Order of pole = 2.1821414751343085 " " x[1] = 0.5090000000000003 " " y[1] (analytic) = 2.1243053240405003 " " y[1] (numeric) = 2.1243053240405008 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.090514978352499600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6569717164649866 " " Order of pole = 2.1820682433272296 " " x[1] = 0.5100000000000003 " " y[1] (analytic) = 2.1247748795416475 " " y[1] (numeric) = 2.124774879541648 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.090052993971110700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.657277260439015 " " Order of pole = 2.1819980295847756 " " x[1] = 0.5110000000000003 " " y[1] (analytic) = 2.125245214194261 " " y[1] (numeric) = 2.125245214194261 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6575835371406613 " " Order of pole = 2.1819308840875102 " " x[1] = 0.5120000000000003 " " y[1] (analytic) = 2.1257163272657613 " " y[1] (numeric) = 2.1257163272657618 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.089127340999821200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6578905491188747 " " Order of pole = 2.1818668545820756 " " x[1] = 0.5130000000000003 " " y[1] (analytic) = 2.126188218023048 " " y[1] (numeric) = 2.1261882180230485 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.088663675612789400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.658198298776255 " " Order of pole = 2.1818059863500814 " " x[1] = 0.5140000000000003 " " y[1] (analytic) = 2.1266608857325022 " " y[1] (numeric) = 2.1266608857325027 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.088199453092877700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6585067883673854 " " Order of pole = 2.181748322181246 " " x[1] = 0.5150000000000003 " " y[1] (analytic) = 2.1271343296599907 " " y[1] (numeric) = 2.127134329659991 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.087734675040704000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6588160199972082 " " Order of pole = 2.1816939023472948 " " x[1] = 0.5160000000000003 " " y[1] (analytic) = 2.1276085490708705 " " y[1] (numeric) = 2.1276085490708705 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6591259956194861 " " Order of pole = 2.1816427645773224 " " x[1] = 0.5170000000000003 " " y[1] (analytic) = 2.1280835432299914 " " y[1] (numeric) = 2.1280835432299914 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6594367170354596 " " Order of pole = 2.1815949440364193 " " x[1] = 0.5180000000000003 " " y[1] (analytic) = 2.1285593114017014 " " y[1] (numeric) = 2.128559311401702 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.086337023691486600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6597481858925625 " " Order of pole = 2.1815504733053395 " " x[1] = 0.5190000000000003 " " y[1] (analytic) = 2.1290358528498508 " " y[1] (numeric) = 2.129035852849851 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.085870039509296300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6600604036832733 " " Order of pole = 2.1815093823624494 " " x[1] = 0.5200000000000004 " " y[1] (analytic) = 2.1295131668377936 " " y[1] (numeric) = 2.129513166837794 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.085402507792473200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6603733717440736 " " Order of pole = 2.181471698567382 " " x[1] = 0.5210000000000004 " " y[1] (analytic) = 2.1299912526283946 " " y[1] (numeric) = 2.1299912526283946 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6606870912545912 " " Order of pole = 2.181437446648033 " " x[1] = 0.5220000000000004 " " y[1] (analytic) = 2.13047010948403 " " y[1] (numeric) = 2.13047010948403 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6610015632367254 " " Order of pole = 2.181406648687002 " " x[1] = 0.5230000000000004 " " y[1] (analytic) = 2.130949736666595 " " y[1] (numeric) = 2.130949736666595 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.661316788554066 " " Order of pole = 2.1813793241131307 " " x[1] = 0.5240000000000004 " " y[1] (analytic) = 2.1314301334375045 " " y[1] (numeric) = 2.1314301334375045 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6616327679112814 " " Order of pole = 2.1813554896924856 " " x[1] = 0.5250000000000004 " " y[1] (analytic) = 2.1319112990576983 " " y[1] (numeric) = 2.1319112990576983 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.661949501853714 " " Order of pole = 2.181335159522799 " " x[1] = 0.5260000000000004 " " y[1] (analytic) = 2.1323932327876443 " " y[1] (numeric) = 2.1323932327876447 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.08258590874213080000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6622669907669494 " " Order of pole = 2.181318345027524 " " x[1] = 0.5270000000000004 " " y[1] (analytic) = 2.1328759338873446 " " y[1] (numeric) = 2.1328759338873446 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6625852348769012 " " Order of pole = 2.181305054958422 " " x[1] = 0.5280000000000004 " " y[1] (analytic) = 2.1333594016163353 " " y[1] (numeric) = 2.1333594016163357 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.081642734522834400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6629042342493416 " " Order of pole = 2.1812952953890488 " " x[1] = 0.5290000000000004 " " y[1] (analytic) = 2.133843635233695 " " y[1] (numeric) = 2.1338436352336956 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.081170346867645000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6632239887902767 " " Order of pole = 2.1812890697221796 " " x[1] = 0.5300000000000004 " " y[1] (analytic) = 2.1343286339980447 " " y[1] (numeric) = 2.134328633998045 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.080697427641171300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.663544498245982 " " Order of pole = 2.1812863786916807 " " x[1] = 0.5310000000000004 " " y[1] (analytic) = 2.134814397167554 " " y[1] (numeric) = 2.1348143971675544 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.08022397843707100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6638657622031845 " " Order of pole = 2.181287220366791 " " x[1] = 0.5320000000000004 " " y[1] (analytic) = 2.135300923999944 " " y[1] (numeric) = 2.135300923999944 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.664187780089361 " " Order of pole = 2.1812915901584056 " " x[1] = 0.5330000000000004 " " y[1] (analytic) = 2.1357882137524915 " " y[1] (numeric) = 2.1357882137524915 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6645105511736555 " " Order of pole = 2.1812994808354844 " " x[1] = 0.5340000000000004 " " y[1] (analytic) = 2.136276265682032 " " y[1] (numeric) = 2.1362762656820324 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.078800466887562300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6648340745675472 " " Order of pole = 2.1813108825374385 " " x[1] = 0.5350000000000004 " " y[1] (analytic) = 2.136765079044966 " " y[1] (numeric) = 2.136765079044966 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6651583492243125 " " Order of pole = 2.1813257827667414 " " x[1] = 0.5360000000000004 " " y[1] (analytic) = 2.1372546530972594 " " y[1] (numeric) = 2.1372546530972594 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6654833739415777 " " Order of pole = 2.1813441664322895 " " x[1] = 0.5370000000000004 " " y[1] (analytic) = 2.137744987094449 " " y[1] (numeric) = 2.137744987094449 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.665809147361316 " " Order of pole = 2.1813660158508377 " " x[1] = 0.5380000000000004 " " y[1] (analytic) = 2.138236080291647 " " y[1] (numeric) = 2.138236080291647 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6661356679709807 " " Order of pole = 2.1813913107670437 " " x[1] = 0.5390000000000004 " " y[1] (analytic) = 2.1387279319435444 " " y[1] (numeric) = 2.1387279319435444 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6664629341049817 " " Order of pole = 2.181420028379314 " " x[1] = 0.5400000000000004 " " y[1] (analytic) = 2.139220541304413 " " y[1] (numeric) = 2.139220541304413 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6667909439456379 " " Order of pole = 2.181452143356921 " " x[1] = 0.5410000000000004 " " y[1] (analytic) = 2.1397139076281126 " " y[1] (numeric) = 2.1397139076281126 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6671196955247412 " " Order of pole = 2.18148762786722 " " x[1] = 0.5420000000000004 " " y[1] (analytic) = 2.1402080301680915 " " y[1] (numeric) = 2.1402080301680915 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.667449186724947 " " Order of pole = 2.1815264516000923 " " x[1] = 0.5430000000000004 " " y[1] (analytic) = 2.1407029081773916 " " y[1] (numeric) = 2.140702908177392 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0745018290658700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.667779415281505 " " Order of pole = 2.1815685817978476 " " x[1] = 0.5440000000000004 " " y[1] (analytic) = 2.1411985409086536 " " y[1] (numeric) = 2.141198540908654 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.074021634918571700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6681103787838496 " " Order of pole = 2.1816139832829613 " " x[1] = 0.5450000000000004 " " y[1] (analytic) = 2.141694927614118 " " y[1] (numeric) = 2.1416949276141186 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.073540933044021300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.66844207467736 " " Order of pole = 2.1816626184885806 " " x[1] = 0.5460000000000004 " " y[1] (analytic) = 2.142192067545632 " " y[1] (numeric) = 2.1421920675456323 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.07305972502674680000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6687745002653613 " " Order of pole = 2.1817144474928902 " " x[1] = 0.5470000000000004 " " y[1] (analytic) = 2.142689959954649 " " y[1] (numeric) = 2.14268995995465 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.14515602490116600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6691076527110937 " " Order of pole = 2.1817694280531548 " " x[1] = 0.5480000000000004 " " y[1] (analytic) = 2.1431886040922383 " " y[1] (numeric) = 2.1431886040922388 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.072095796898656700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6694415290396891 " " Order of pole = 2.181827515639604 " " x[1] = 0.5490000000000004 " " y[1] (analytic) = 2.143687999209082 " " y[1] (numeric) = 2.143687999209083 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.14322615990676050000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6697761261405275 " " Order of pole = 2.181888663475881 " " x[1] = 0.5500000000000004 " " y[1] (analytic) = 2.1441881445554856 " " y[1] (numeric) = 2.1441881445554865 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.14225972639287500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6701114407694113 " " Order of pole = 2.181952822576214 " " x[1] = 0.5510000000000004 " " y[1] (analytic) = 2.1446890393813764 " " y[1] (numeric) = 2.144689039381377 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.070646148208775700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.670447469550942 " " Order of pole = 2.182019941786084 " " x[1] = 0.5520000000000004 " " y[1] (analytic) = 2.1451906829363097 " " y[1] (numeric) = 2.14519068293631 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.070161936570594200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.670784208980956 " " Order of pole = 2.1820899678237815 " " x[1] = 0.5530000000000004 " " y[1] (analytic) = 2.145693074469472 " " y[1] (numeric) = 2.145693074469473 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.13935445972266800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6711216554291646 " " Order of pole = 2.1821628453253368 " " x[1] = 0.5540000000000004 " " y[1] (analytic) = 2.146196213229686 " " y[1] (numeric) = 2.1461962132296866 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.069192029659667500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.671459805141763 " " Order of pole = 2.182238516888905 " " x[1] = 0.5550000000000004 " " y[1] (analytic) = 2.146700098465412 " " y[1] (numeric) = 2.1467000984654123 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.068706337543487500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6717986542439398 " " Order of pole = 2.182316923117533 " " x[1] = 0.5560000000000004 " " y[1] (analytic) = 2.147204729424753 " " y[1] (numeric) = 2.1472047294247534 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.068220155089898500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6721381987429613 " " Order of pole = 2.182398002671359 " " x[1] = 0.5570000000000004 " " y[1] (analytic) = 2.1477101053554586 " " y[1] (numeric) = 2.147710105355459 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.06773348387520500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6724784345308978 " " Order of pole = 2.182481692313928 " " x[1] = 0.5580000000000004 " " y[1] (analytic) = 2.148216225504928 " " y[1] (numeric) = 2.148216225504929 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.13449265094980400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6728193573875387 " " Order of pole = 2.182567926961468 " " x[1] = 0.5590000000000004 " " y[1] (analytic) = 2.1487230891202156 " " y[1] (numeric) = 2.1487230891202165 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.133517362927326400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6731609629835245 " " Order of pole = 2.18265663973596 " " x[1] = 0.5600000000000004 " " y[1] (analytic) = 2.149230695448031 " " y[1] (numeric) = 2.149230695448032 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.13254110683066830000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6735032468833717 " " Order of pole = 2.182747762016227 " " x[1] = 0.5610000000000004 " " y[1] (analytic) = 2.149739043734746 " " y[1] (numeric) = 2.149739043734747 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.131563885805837300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6738462045486286 " " Order of pole = 2.1828412234911063 " " x[1] = 0.5620000000000004 " " y[1] (analytic) = 2.1502481332263974 " " y[1] (numeric) = 2.150248133226398 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.065292851498571000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6741898313411565 " " Order of pole = 2.182936952214952 " " x[1] = 0.5630000000000004 " " y[1] (analytic) = 2.1507579631686897 " " y[1] (numeric) = 2.1507579631686906 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.12960656154717200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6745341225264174 " " Order of pole = 2.1830348746629333 " " x[1] = 0.5640000000000004 " " y[1] (analytic) = 2.151268532807001 " " y[1] (numeric) = 2.151268532807002 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.12862646459677130000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6748790732768306 " " Order of pole = 2.1831349157875763 " " x[1] = 0.5650000000000004 " " y[1] (analytic) = 2.151779841386384 " " y[1] (numeric) = 2.151779841386385 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.12764541528502800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6752246786752032 " " Order of pole = 2.1832369990764278 " " x[1] = 0.5660000000000004 " " y[1] (analytic) = 2.152291888151572 " " y[1] (numeric) = 2.1522918881515722 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.063331708374623300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.675570933718168 " " Order of pole = 2.1833410466098826 " " x[1] = 0.5670000000000004 " " y[1] (analytic) = 2.152804672346979 " " y[1] (numeric) = 2.15280467234698 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.125680472124935000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6759178333197533 " " Order of pole = 2.1834469791211504 " " x[1] = 0.5680000000000004 " " y[1] (analytic) = 2.1533181932167103 " " y[1] (numeric) = 2.153318193216711 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.124696584545778400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6762653723150835 " " Order of pole = 2.18355471605825 " " x[1] = 0.5690000000000004 " " y[1] (analytic) = 2.1538324500045576 " " y[1] (numeric) = 2.153832450004559 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.18556763571543800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6766135454637605 " " Order of pole = 2.1836641756408213 " " x[1] = 0.5700000000000004 " " y[1] (analytic) = 2.15434744195401 " " y[1] (numeric) = 2.1543474419540107 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.122725993048458300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.676962347453814 " " Order of pole = 2.1837752749262513 " " x[1] = 0.5710000000000004 " " y[1] (analytic) = 2.154863168308251 " " y[1] (numeric) = 2.1548631683082524 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.1826089430825900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6773117729052913 " " Order of pole = 2.183887929869769 " " x[1] = 0.5720000000000004 " " y[1] (analytic) = 2.155379628310169 " " y[1] (numeric) = 2.1553796283101705 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.18112750093445900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.677661816374097 " " Order of pole = 2.184002055388735 " " x[1] = 0.5730000000000004 " " y[1] (analytic) = 2.1558968212023566 " " y[1] (numeric) = 2.1558968212023575 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.1197631118764900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.678012472355723 " " Order of pole = 2.184117565424927 " " x[1] = 0.5740000000000004 " " y[1] (analytic) = 2.1564147462271133 " " y[1] (numeric) = 2.156414746227114 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.118773632271305300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6783637352892533 " " Order of pole = 2.1842343730115026 " " x[1] = 0.5750000000000004 " " y[1] (analytic) = 2.1569334026264535 " " y[1] (numeric) = 2.1569334026264544 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.117783231594488000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6787155995610852 " " Order of pole = 2.184352390335089 " " x[1] = 0.5760000000000004 " " y[1] (analytic) = 2.157452789642106 " " y[1] (numeric) = 2.157452789642107 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.116791912964467600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6790680595089769 " " Order of pole = 2.184471528803357 " " x[1] = 0.5770000000000004 " " y[1] (analytic) = 2.15797290651552 " " y[1] (numeric) = 2.1579729065155213 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.17369951924651800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6794211094258729 " " Order of pole = 2.1845916991087186 " " x[1] = 0.5780000000000004 " " y[1] (analytic) = 2.1584937524878685 " " y[1] (numeric) = 2.1584937524878693 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.11480653430854500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6797747435640682 " " Order of pole = 2.1847128112977927 " " x[1] = 0.5790000000000004 " " y[1] (analytic) = 2.15901532680005 " " y[1] (numeric) = 2.1590153268000507 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.11381248050945900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6801289561389912 " " Order of pole = 2.1848347748343286 " " x[1] = 0.5800000000000004 " " y[1] (analytic) = 2.159537628692694 " " y[1] (numeric) = 2.159537628692695 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.11281752121076200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6804837413333644 " " Order of pole = 2.1849574986684885 " " x[1] = 0.5810000000000004 " " y[1] (analytic) = 2.1600606574061656 " " y[1] (numeric) = 2.160060657406166 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.055910829760363400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6808390933011639 " " Order of pole = 2.1850808913026363 " " x[1] = 0.5820000000000004 " " y[1] (analytic) = 2.160584412180565 " " y[1] (numeric) = 2.1605844121805653 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.055412449272771600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6811950061717125 " " Order of pole = 2.185204860859397 " " x[1] = 0.5830000000000004 " " y[1] (analytic) = 2.161108892255735 " " y[1] (numeric) = 2.1611088922557355 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.05491362069464500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6815514740537245 " " Order of pole = 2.1853293151487883 " " x[1] = 0.5840000000000004 " " y[1] (analytic) = 2.161634096871264 " " y[1] (numeric) = 2.1616340968712646 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.054414345576962300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.681908491039446 " " Order of pole = 2.1854541617369776 " " x[1] = 0.5850000000000004 " " y[1] (analytic) = 2.162160025266487 " " y[1] (numeric) = 2.162160025266488 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.107829250939263300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.682266051208535 " " Order of pole = 2.185579308010631 " " x[1] = 0.5860000000000004 " " y[1] (analytic) = 2.1626866766804933 " " y[1] (numeric) = 2.1626866766804937 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.053414461921478600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6826241486324072 " " Order of pole = 2.1857046612488737 " " x[1] = 0.5870000000000004 " " y[1] (analytic) = 2.163214050352125 " " y[1] (numeric) = 2.1632140503521256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.052913856480242400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6829827773780655 " " Order of pole = 2.185830128686856 " " x[1] = 0.5880000000000004 " " y[1] (analytic) = 2.163742145519985 " " y[1] (numeric) = 2.163742145519986 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.104825621385123600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.683341931512359 " " Order of pole = 2.1859556175861314 " " x[1] = 0.5890000000000004 " " y[1] (analytic) = 2.1642709614224387 " " y[1] (numeric) = 2.1642709614224396 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.10382265220793600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6837016051059461 " " Order of pole = 2.1860810353002798 " " x[1] = 0.5900000000000004 " " y[1] (analytic) = 2.164800497297618 " " y[1] (numeric) = 2.1648004972976187 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.102818808517753600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6840617922374772 " " Order of pole = 2.1862062893440886 " " x[1] = 0.5910000000000004 " " y[1] (analytic) = 2.165330752383423 " " y[1] (numeric) = 2.165330752383424 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.101814093401155400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.684422486997375 " " Order of pole = 2.186331287455925 " " x[1] = 0.5920000000000004 " " y[1] (analytic) = 2.165861725917529 " " y[1] (numeric) = 2.1658617259175297 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.100808509942453500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6847836834922625 " " Order of pole = 2.1864559376709494 " " x[1] = 0.5930000000000004 " " y[1] (analytic) = 2.166393417137386 " " y[1] (numeric) = 2.166393417137387 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.09980206122367300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6851453758486146 " " Order of pole = 2.186580148381289 " " x[1] = 0.5940000000000004 " " y[1] (analytic) = 2.1669258252802273 " " y[1] (numeric) = 2.1669258252802277 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.049397375162266600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.685507558217031 " " Order of pole = 2.186703828406543 " " x[1] = 0.5950000000000004 " " y[1] (analytic) = 2.1674589495830663 " " y[1] (numeric) = 2.167458949583067 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.09778658032243560000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6858702247760071 " " Order of pole = 2.1868268870558936 " " x[1] = 0.5960000000000004 " " y[1] (analytic) = 2.167992789282707 " " y[1] (numeric) = 2.1679927892827076 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.048388777146219500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6862333697359804 " " Order of pole = 2.1869492341947883 " " x[1] = 0.5970000000000004 " " y[1] (analytic) = 2.168527343615742 " " y[1] (numeric) = 2.1685273436157426 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.047883837653624600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.686596987343267 " " Order of pole = 2.18707078030965 " " x[1] = 0.5980000000000004 " " y[1] (analytic) = 2.16906261181856 " " y[1] (numeric) = 2.16906261181856 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6869610718838874 " " Order of pole = 2.187191436570888 " " x[1] = 0.5990000000000004 " " y[1] (analytic) = 2.1695985931273456 " " y[1] (numeric) = 2.1695985931273456 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.687325617687411 " " Order of pole = 2.1873111148959836 " " x[1] = 0.6000000000000004 " " y[1] (analytic) = 2.1701352867780863 " " y[1] (numeric) = 2.1701352867780863 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6876906191309011 " " Order of pole = 2.18742972801434 " " x[1] = 0.6010000000000004 " " y[1] (analytic) = 2.1706726920065735 " " y[1] (numeric) = 2.1706726920065735 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6880560706424492 " " Order of pole = 2.187547189525226 " " x[1] = 0.6020000000000004 " " y[1] (analytic) = 2.171210808048407 " " y[1] (numeric) = 2.171210808048407 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6884219667052067 " " Order of pole = 2.1876634139639783 " " x[1] = 0.6030000000000004 " " y[1] (analytic) = 2.171749634138999 " " y[1] (numeric) = 2.1717496341389992 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.044845330553602400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6887883018607508 " " Order of pole = 2.187778316857049 " " x[1] = 0.6040000000000004 " " y[1] (analytic) = 2.1722891695135758 " " y[1] (numeric) = 2.172289169513576 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.044337448634907800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6891550707129743 " " Order of pole = 2.187891814785768 " " x[1] = 0.6050000000000004 " " y[1] (analytic) = 2.1728294134071833 " " y[1] (numeric) = 2.1728294134071837 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.043829152485986400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6895222679315245 " " Order of pole = 2.188003825442543 " " x[1] = 0.6060000000000004 " " y[1] (analytic) = 2.173370365054689 " " y[1] (numeric) = 2.1733703650546894 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.043320443632201400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6898898882554654 " " Order of pole = 2.1881142676908176 " " x[1] = 0.6070000000000004 " " y[1] (analytic) = 2.1739120236907854 " " y[1] (numeric) = 2.173912023690786 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.042811323597653000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6902579264965785 " " Order of pole = 2.188223061618899 " " x[1] = 0.6080000000000004 " " y[1] (analytic) = 2.174454388549995 " " y[1] (numeric) = 2.1744543885499956 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.042301793905170700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.690626377542897 " " Order of pole = 2.1883301285976486 " " x[1] = 0.6090000000000004 " " y[1] (analytic) = 2.1749974588666725 " " y[1] (numeric) = 2.174997458866673 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.041791856076303200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6909952363620175 " " Order of pole = 2.188435391334515 " " x[1] = 0.6100000000000004 " " y[1] (analytic) = 2.1755412338750073 " " y[1] (numeric) = 2.1755412338750078 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.04128151163131300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.69136449800447 " " Order of pole = 2.1885387739284248 " " x[1] = 0.6110000000000004 " " y[1] (analytic) = 2.1760857128090296 " " y[1] (numeric) = 2.17608571280903 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.040770762089164400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6917341576069096 " " Order of pole = 2.1886402019216966 " " x[1] = 0.6120000000000004 " " y[1] (analytic) = 2.176630894902611 " " y[1] (numeric) = 2.1766308949026114 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.040259608967521000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6921042103950255 " " Order of pole = 2.1887396023473187 " " x[1] = 0.6130000000000004 " " y[1] (analytic) = 2.1771767793894696 " " y[1] (numeric) = 2.17717677938947 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.039748053782731400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6924746516871232 " " Order of pole = 2.188836903787255 " " x[1] = 0.6140000000000004 " " y[1] (analytic) = 2.1777233655031734 " " y[1] (numeric) = 2.177723365503174 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03923609804982610000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.692845476896686 " " Order of pole = 2.1889320364138527 " " x[1] = 0.6150000000000004 " " y[1] (analytic) = 2.1782706524771425 " " y[1] (numeric) = 2.178270652477143 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.038723743282506000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6932166815355352 " " Order of pole = 2.189024932041132 " " x[1] = 0.6160000000000004 " " y[1] (analytic) = 2.1788186395446534 " " y[1] (numeric) = 2.178818639544654 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.038210990993136700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6935882612165436 " " Order of pole = 2.1891155241686917 " " x[1] = 0.6170000000000004 " " y[1] (analytic) = 2.179367325938842 " " y[1] (numeric) = 2.1793673259388426 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03769784269274080000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.693960211656756 " " Order of pole = 2.189203748032277 " " x[1] = 0.6180000000000004 " " y[1] (analytic) = 2.1799167108927078 " " y[1] (numeric) = 2.1799167108927087 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.07436859978197600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6943325286796227 " " Order of pole = 2.1892895406396207 " " x[1] = 0.6190000000000004 " " y[1] (analytic) = 2.180466793639116 " " y[1] (numeric) = 2.180466793639117 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.07334072819237600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6947052082179148 " " Order of pole = 2.1893728408176436 " " x[1] = 0.6200000000000004 " " y[1] (analytic) = 2.1810175734108026 " " y[1] (numeric) = 2.1810175734108035 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.07231207363056700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6950782463161822 " " Order of pole = 2.1894535892519613 " " x[1] = 0.6210000000000004 " " y[1] (analytic) = 2.1815690494403746 " " y[1] (numeric) = 2.1815690494403754 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.071282639107685600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6954516391331589 " " Order of pole = 2.1895317285255302 " " x[1] = 0.6220000000000004 " " y[1] (analytic) = 2.182121220960317 " " y[1] (numeric) = 2.182121220960318 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.070252427632100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6958253829441632 " " Order of pole = 2.189607203157234 " " x[1] = 0.6230000000000004 " " y[1] (analytic) = 2.182674087202994 " " y[1] (numeric) = 2.182674087202995 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.069221442209399000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6961994741429594 " " Order of pole = 2.1896799596313947 " " x[1] = 0.6240000000000004 " " y[1] (analytic) = 2.183227647400653 " " y[1] (numeric) = 2.183227647400654 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.06818968584237600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.696573909245414 " " Order of pole = 2.1897499464573613 " " x[1] = 0.6250000000000004 " " y[1] (analytic) = 2.1837819007854278 " " y[1] (numeric) = 2.1837819007854287 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.06715716153100900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6969486848895594 " " Order of pole = 2.189817114168946 " " x[1] = 0.6260000000000004 " " y[1] (analytic) = 2.184336846589342 " " y[1] (numeric) = 2.1843368465893422 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03306193613622620000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6973237978385223 " " Order of pole = 2.1898814153718256 " " x[1] = 0.6270000000000004 " " y[1] (analytic) = 2.184892484044311 " " y[1] (numeric) = 2.1848924840443114 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.032544910530509000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6976992449828356 " " Order of pole = 2.1899428047806673 " " x[1] = 0.6280000000000004 " " y[1] (analytic) = 2.1854488123821483 " " y[1] (numeric) = 2.1854488123821487 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03202750544408100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6980750233414543 " " Order of pole = 2.1900012392344728 " " x[1] = 0.6290000000000004 " " y[1] (analytic) = 2.1860058308345662 " " y[1] (numeric) = 2.1860058308345667 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03150972237123300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6984511300639369 " " Order of pole = 2.190056677731519 " " x[1] = 0.6300000000000004 " " y[1] (analytic) = 2.18656353863318 " " y[1] (numeric) = 2.1865635386331803 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03099156280481400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6988275624318014 " " Order of pole = 2.190109081450455 " " x[1] = 0.6310000000000004 " " y[1] (analytic) = 2.1871219350095106 " " y[1] (numeric) = 2.187121935009511 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.030473028236221800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6992043178601157 " " Order of pole = 2.1901584137753467 " " x[1] = 0.6320000000000005 " " y[1] (analytic) = 2.1876810191949896 " " y[1] (numeric) = 2.18768101919499 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.029954120155396400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6995813938989888 " " Order of pole = 2.1902046403191022 " " x[1] = 0.6330000000000005 " " y[1] (analytic) = 2.18824079042096 " " y[1] (numeric) = 2.1882407904209606 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.02943484005081300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.6999587882345635 " " Order of pole = 2.190247728938491 " " x[1] = 0.6340000000000005 " " y[1] (analytic) = 2.188801247918682 " " y[1] (numeric) = 2.1888012479186827 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.05783037881894900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.700336498690518 " " Order of pole = 2.190287649757785 " " x[1] = 0.6350000000000005 " " y[1] (analytic) = 2.1893623909193343 " " y[1] (numeric) = 2.189362390919335 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.056790339433804500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7007145232289116 " " Order of pole = 2.1903243751813513 " " x[1] = 0.6360000000000005 " " y[1] (analytic) = 2.1899242186540184 " " y[1] (numeric) = 2.1899242186540193 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.05574956491426700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7010928599513757 " " Order of pole = 2.1903578799121455 " " x[1] = 0.6370000000000005 " " y[1] (analytic) = 2.1904867303537614 " " y[1] (numeric) = 2.1904867303537623 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.05470805822542200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7014715070997886 " " Order of pole = 2.1903881409614954 " " x[1] = 0.6380000000000005 " " y[1] (analytic) = 2.19104992524952 " " y[1] (numeric) = 2.1910499252495206 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.02683291116467380000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7018504630571338 " " Order of pole = 2.190415137662015 " " x[1] = 0.6390000000000005 " " y[1] (analytic) = 2.191613802572182 " " y[1] (numeric) = 2.1916138025721827 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.052622860185115500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7022297263481547 " " Order of pole = 2.190438851677179 " " x[1] = 0.6400000000000005 " " y[1] (analytic) = 2.192178361552572 " " y[1] (numeric) = 2.1921783615525725 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.025789587374378400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7026092956399652 " " Order of pole = 2.1904592670100804 " " x[1] = 0.6410000000000005 " " y[1] (analytic) = 2.1927436014214523 " " y[1] (numeric) = 2.1927436014214527 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.025267384486633400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7029891697423654 " " Order of pole = 2.190476370007339 " " x[1] = 0.6420000000000005 " " y[1] (analytic) = 2.1933095214095273 " " y[1] (numeric) = 2.1933095214095277 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0247448229042900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.703369347608287 " " Order of pole = 2.190490149365292 " " x[1] = 0.6430000000000005 " " y[1] (analytic) = 2.193876120747447 " " y[1] (numeric) = 2.1938761207474475 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.02422190410077800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.703749828334026 " " Order of pole = 2.190500596132491 " " x[1] = 0.6440000000000005 " " y[1] (analytic) = 2.194443398665809 " " y[1] (numeric) = 2.19444339866581 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.047397259095975600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.704130611159306 " " Order of pole = 2.1905077037095246 " " x[1] = 0.6450000000000005 " " y[1] (analytic) = 2.195011354395163 " " y[1] (numeric) = 2.195011354395164 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.04635000143251400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.704511695467381 " " Order of pole = 2.1905114678494577 " " x[1] = 0.6460000000000005 " " y[1] (analytic) = 2.1955799871660133 " " y[1] (numeric) = 2.1955799871660138 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.022651019074368500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.704893080784916 " " Order of pole = 2.1905118866546545 " " x[1] = 0.6470000000000005 " " y[1] (analytic) = 2.196149296208821 " " y[1] (numeric) = 2.1961492962088216 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.022126686089543400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7052747667818084 " " Order of pole = 2.190508960572579 " " x[1] = 0.6480000000000005 " " y[1] (analytic) = 2.19671928075401 " " y[1] (numeric) = 2.1967192807540106 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.021602003227430000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7056567532708575 " " Order of pole = 2.1905026923891633 " " x[1] = 0.6490000000000005 " " y[1] (analytic) = 2.1972899400319674 " " y[1] (numeric) = 2.197289940031968 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.02107697195210300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7060390402074785 " " Order of pole = 2.1904930872228796 " " x[1] = 0.6500000000000005 " " y[1] (analytic) = 2.1978612732730474 " " y[1] (numeric) = 2.197861273273048 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.020551593726052000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7064216276890825 " " Order of pole = 2.190480152513331 " " x[1] = 0.6510000000000005 " " y[1] (analytic) = 2.1984332797075745 " " y[1] (numeric) = 2.1984332797075754 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.040051740020359500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7068045159545326 " " Order of pole = 2.190463898011142 " " x[1] = 0.6520000000000005 " " y[1] (analytic) = 2.1990059585658486 " " y[1] (numeric) = 2.199005958565849 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.019499802263789400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7071877053834659 " " Order of pole = 2.1904443357656156 " " x[1] = 0.6530000000000005 " " y[1] (analytic) = 2.199579309078144 " " y[1] (numeric) = 2.199579309078145 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.03794678388916900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7075711964954536 " " Order of pole = 2.1904214801097694 " " x[1] = 0.6540000000000005 " " y[1] (analytic) = 2.2001533304747167 " " y[1] (numeric) = 2.2001533304747176 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.03689328101731470000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7079549899490833 " " Order of pole = 2.1903953476440634 " " x[1] = 0.6550000000000005 " " y[1] (analytic) = 2.2007280219858045 " " y[1] (numeric) = 2.200728021985806 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.0537586482314600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7083390865410155 " " Order of pole = 2.1903659572198073 " " x[1] = 0.6560000000000005 " " y[1] (analytic) = 2.201303382841633 " " y[1] (numeric) = 2.2013033828416337 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.03478424020585300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7087234872048356 " " Order of pole = 2.1903333299191523 " " x[1] = 0.6570000000000005 " " y[1] (analytic) = 2.2018794122724143 " " y[1] (numeric) = 2.2018794122724152 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.03372870807441200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7091081930098833 " " Order of pole = 2.1902974890347586 " " x[1] = 0.6580000000000005 " " y[1] (analytic) = 2.2024561095083555 " " y[1] (numeric) = 2.2024561095083564 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.032672505325835500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7094932051599205 " " Order of pole = 2.1902584600468273 " " x[1] = 0.6590000000000005 " " y[1] (analytic) = 2.203033473779658 " " y[1] (numeric) = 2.2030334737796586 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01580781742801280000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.709878524991826 " " Order of pole = 2.190216270600608 " " x[1] = 0.6600000000000005 " " y[1] (analytic) = 2.2036115043165214 " " y[1] (numeric) = 2.2036115043165223 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.030558099557595700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7102641539740167 " " Order of pole = 2.190170950479377 " " x[1] = 0.6610000000000005 " " y[1] (analytic) = 2.204190200349148 " " y[1] (numeric) = 2.204190200349149 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.029499902319846000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7106500937049602 " " Order of pole = 2.19012253157911 " " x[1] = 0.6620000000000005 " " y[1] (analytic) = 2.2047695611077436 " " y[1] (numeric) = 2.2047695611077445 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.028441046028762000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.711036345911502 " " Order of pole = 2.1900710478798615 " " x[1] = 0.6630000000000005 " " y[1] (analytic) = 2.2053495858225225 " " y[1] (numeric) = 2.2053495858225234 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.02738153356699660000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7114229124470737 " " Order of pole = 2.1900165354154915 " " x[1] = 0.6640000000000005 " " y[1] (analytic) = 2.2059302737237094 " " y[1] (numeric) = 2.2059302737237103 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.026321367813861500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7118097952899214 " " Order of pole = 2.1899590322435962 " " x[1] = 0.6650000000000005 " " y[1] (analytic) = 2.2065116240415428 " " y[1] (numeric) = 2.2065116240415437 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.025260551645311600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7121969965411719 " " Order of pole = 2.1898985784128264 " " x[1] = 0.6660000000000005 " " y[1] (analytic) = 2.2070936360062787 " " y[1] (numeric) = 2.2070936360062796 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.02419908793393230000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.712584518422774 " " Order of pole = 2.18983521592828 " " x[1] = 0.6670000000000005 " " y[1] (analytic) = 2.207676308848192 " " y[1] (numeric) = 2.2076763088481934 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.03470546932339900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.712972363275546 " " Order of pole = 2.1897689887184804 " " x[1] = 0.6680000000000005 " " y[1] (analytic) = 2.208259641797582 " " y[1] (numeric) = 2.2082596417975835 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.03311134403419400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7133605335568967 " " Order of pole = 2.1896999425972687 " " x[1] = 0.6690000000000005 " " y[1] (analytic) = 2.208843634084773 " " y[1] (numeric) = 2.208843634084774 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.02101084021793560000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7137490318386581 " " Order of pole = 2.189628125227326 " " x[1] = 0.6700000000000005 " " y[1] (analytic) = 2.2094282849401177 " " y[1] (numeric) = 2.2094282849401186 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01994681499335300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7141378608047733 " " Order of pole = 2.1895535860816153 " " x[1] = 0.6710000000000005 " " y[1] (analytic) = 2.210013593594002 " " y[1] (numeric) = 2.210013593594003 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01888215653795230000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7145270232488712 " " Order of pole = 2.189476376402702 " " x[1] = 0.6720000000000005 " " y[1] (analytic) = 2.210599559276846 " " y[1] (numeric) = 2.210599559276847 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.0178168677038700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7149165220719036 " " Order of pole = 2.189396549163373 " " x[1] = 0.6730000000000005 " " y[1] (analytic) = 2.2111861812191087 " " y[1] (numeric) = 2.2111861812191096 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.0167509513397900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7153063602795282 " " Order of pole = 2.1893141590231124 " " x[1] = 0.6740000000000005 " " y[1] (analytic) = 2.211773458651289 " " y[1] (numeric) = 2.21177345865129 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.015684410290939500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7156965409795986 " " Order of pole = 2.189229262286119 " " x[1] = 0.6750000000000005 " " y[1] (analytic) = 2.2123613908039306 " " y[1] (numeric) = 2.2123613908039315 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01461724739906900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.716087067379484 " " Order of pole = 2.189141916856954 " " x[1] = 0.6760000000000005 " " y[1] (analytic) = 2.2129499769076233 " " y[1] (numeric) = 2.212949976907624 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01354946550245100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7164779427833554 " " Order of pole = 2.1890521821953683 " " x[1] = 0.6770000000000005 " " y[1] (analytic) = 2.213539216193008 " " y[1] (numeric) = 2.2135392161930088 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01248106743585800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.716869170589449 " " Order of pole = 2.1889601192709627 " " x[1] = 0.6780000000000005 " " y[1] (analytic) = 2.214129107890777 " " y[1] (numeric) = 2.214129107890778 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.011412056030560500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.717260754287225 " " Order of pole = 2.1888657905160933 " " x[1] = 0.6790000000000005 " " y[1] (analytic) = 2.2147196512316794 " " y[1] (numeric) = 2.2147196512316802 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.010342434114312000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7176526974544741 " " Order of pole = 2.1887692597780166 " " x[1] = 0.6800000000000005 " " y[1] (analytic) = 2.215310845446523 " " y[1] (numeric) = 2.2153108454465236 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.00463610225566770000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7180450037544182 " " Order of pole = 2.1886705922709773 " " x[1] = 0.6810000000000005 " " y[1] (analytic) = 2.215902689766177 " " y[1] (numeric) = 2.2159026897661773 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0041006850211600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.718437676932722 " " Order of pole = 2.188569854526854 " " x[1] = 0.6820000000000005 " " y[1] (analytic) = 2.2164951834215745 " " y[1] (numeric) = 2.216495183421575 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.003564966762201300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7188307208144427 " " Order of pole = 2.188467114344821 " " x[1] = 0.6830000000000005 " " y[1] (analytic) = 2.2170883256437177 " " y[1] (numeric) = 2.217088325643718 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0030289488855800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7192241393010201 " " Order of pole = 2.1883624407417948 " " x[1] = 0.6840000000000005 " " y[1] (analytic) = 2.217682115663678 " " y[1] (numeric) = 2.2176821156636786 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.002492632796299400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.719617936367104 " " Order of pole = 2.188255903900174 " " x[1] = 0.6850000000000005 " " y[1] (analytic) = 2.2182765527126005 " " y[1] (numeric) = 2.2182765527126014 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.003912039795145500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7200121160574433 " " Order of pole = 2.188147575116716 " " x[1] = 0.6860000000000005 " " y[1] (analytic) = 2.218871636021707 " " y[1] (numeric) = 2.218871636021708 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.00283822318163300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.720406682483704 " " Order of pole = 2.1880375267502004 " " x[1] = 0.6870000000000005 " " y[1] (analytic) = 2.2194673648222976 " " y[1] (numeric) = 2.219467364822298 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.000881909275646400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7208016398212183 " " Order of pole = 2.1879258321681014 " " x[1] = 0.6880000000000005 " " y[1] (analytic) = 2.2200637383457544 " " y[1] (numeric) = 2.220063738345755 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.000344414349872200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.72119699230575 " " Order of pole = 2.187812565693548 " " x[1] = 0.6890000000000005 " " y[1] (analytic) = 2.2206607558235456 " " y[1] (numeric) = 2.220660755823546 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.999806628209491500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7215927442302306 " " Order of pole = 2.187697802551817 " " x[1] = 0.6900000000000005 " " y[1] (analytic) = 2.2212584164872258 " " y[1] (numeric) = 2.221258416487226 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.999268552248686700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.721988899941438 " " Order of pole = 2.1875816188159725 " " x[1] = 0.6910000000000005 " " y[1] (analytic) = 2.2218567195684407 " " y[1] (numeric) = 2.221856719568441 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.99873018785981700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7223854638366682 " " Order of pole = 2.1874640913524317 " " x[1] = 0.6920000000000005 " " y[1] (analytic) = 2.2224556642989297 " " y[1] (numeric) = 2.22245566429893 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.99819153643341600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7227824403603904 " " Order of pole = 2.187345297766285 " " x[1] = 0.6930000000000005 " " y[1] (analytic) = 2.2230552499105283 " " y[1] (numeric) = 2.2230552499105287 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.997652599358184800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7231798340008588 " " Order of pole = 2.187225316346016 " " x[1] = 0.6940000000000005 " " y[1] (analytic) = 2.223655475635171 " " y[1] (numeric) = 2.2236554756351716 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.99711337802098900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7235776492867916 " " Order of pole = 2.18710422600925 " " x[1] = 0.6950000000000005 " " y[1] (analytic) = 2.2242563407048954 " " y[1] (numeric) = 2.2242563407048954 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7239758907838607 " " Order of pole = 2.1869821062456403 " " x[1] = 0.6960000000000005 " " y[1] (analytic) = 2.224857844351842 " " y[1] (numeric) = 2.224857844351842 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7243745630913874 " " Order of pole = 2.1868590370629626 " " x[1] = 0.6970000000000005 " " y[1] (analytic) = 2.2254599858082593 " " y[1] (numeric) = 2.2254599858082598 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.99549402227861220000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.72477367083889 " " Order of pole = 2.1867350989309884 " " x[1] = 0.6980000000000005 " " y[1] (analytic) = 2.2260627643065085 " " y[1] (numeric) = 2.2260627643065085 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.725173218682654 " " Order of pole = 2.1866103727257062 " " x[1] = 0.6990000000000005 " " y[1] (analytic) = 2.2266661790790607 " " y[1] (numeric) = 2.226666179079061 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.994413055816637900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7255732113022955 " " Order of pole = 2.186484939673498 " " x[1] = 0.7000000000000005 " " y[1] (analytic) = 2.227270229358506 " " y[1] (numeric) = 2.2272702293585063 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.99387215792835530000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7259736533973606 " " Order of pole = 2.18635888129597 " " x[1] = 0.7010000000000005 " " y[1] (analytic) = 2.227874914377551 " " y[1] (numeric) = 2.2278749143775514 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.993330985434329800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7263745496838836 " " Order of pole = 2.1862322793541153 " " x[1] = 0.7020000000000005 " " y[1] (analytic) = 2.2284802333690257 " " y[1] (numeric) = 2.2284802333690257 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7267759048909672 " " Order of pole = 2.1861052157928924 " " x[1] = 0.7030000000000005 " " y[1] (analytic) = 2.229086185565883 " " y[1] (numeric) = 2.229086185565883 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7271777237573787 " " Order of pole = 2.185977772686158 " " x[1] = 0.7040000000000005 " " y[1] (analytic) = 2.2296927702012037 " " y[1] (numeric) = 2.2296927702012037 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7275800110281319 " " Order of pole = 2.1858500321813565 " " x[1] = 0.7050000000000005 " " y[1] (analytic) = 2.2302999865081987 " " y[1] (numeric) = 2.2302999865081987 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7279827714510794 " " Order of pole = 2.1857220764444563 " " x[1] = 0.7060000000000005 " " y[1] (analytic) = 2.230907833720211 " " y[1] (numeric) = 2.230907833720211 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7283860097735688 " " Order of pole = 2.185593987605955 " " x[1] = 0.7070000000000005 " " y[1] (analytic) = 2.2315163110707186 " " y[1] (numeric) = 2.2315163110707186 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7287897307390285 " " Order of pole = 2.1854658477057782 " " x[1] = 0.7080000000000005 " " y[1] (analytic) = 2.232125417793339 " " y[1] (numeric) = 2.232125417793339 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7291939390836604 " " Order of pole = 2.1853377386400155 " " x[1] = 0.7090000000000005 " " y[1] (analytic) = 2.2327351531218294 " " y[1] (numeric) = 2.2327351531218294 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7295986395330996 " " Order of pole = 2.185209742107091 " " x[1] = 0.7100000000000005 " " y[1] (analytic) = 2.2333455162900906 " " y[1] (numeric) = 2.2333455162900906 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.730003836799085 " " Order of pole = 2.1850819395541983 " " x[1] = 0.7110000000000005 " " y[1] (analytic) = 2.23395650653217 " " y[1] (numeric) = 2.23395650653217 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7304095355762112 " " Order of pole = 2.184954412125091 " " x[1] = 0.7120000000000005 " " y[1] (analytic) = 2.2345681230822643 " " y[1] (numeric) = 2.2345681230822643 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7308157405386475 " " Order of pole = 2.1848272406073583 " " x[1] = 0.7130000000000005 " " y[1] (analytic) = 2.235180365174721 " " y[1] (numeric) = 2.235180365174721 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7312224563369236 " " Order of pole = 2.18470050538091 " " x[1] = 0.7140000000000005 " " y[1] (analytic) = 2.235793232044042 " " y[1] (numeric) = 2.235793232044042 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7316296875947326 " " Order of pole = 2.1845742863666615 " " x[1] = 0.7150000000000005 " " y[1] (analytic) = 2.236406722924887 " " y[1] (numeric) = 2.236406722924887 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7320374389057849 " " Order of pole = 2.184448662976152 " " x[1] = 0.7160000000000005 " " y[1] (analytic) = 2.237020837052076 " " y[1] (numeric) = 2.2370208370520754 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.985181373792114800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7324457148306078 " " Order of pole = 2.1843237140603797 " " x[1] = 0.7170000000000005 " " y[1] (analytic) = 2.2376355736605884 " " y[1] (numeric) = 2.2376355736605884 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7328545198935608 " " Order of pole = 2.184199517862023 " " x[1] = 0.7180000000000005 " " y[1] (analytic) = 2.238250931985572 " " y[1] (numeric) = 2.238250931985572 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7332638585796767 " " Order of pole = 2.1840761519650442 " " x[1] = 0.7190000000000005 " " y[1] (analytic) = 2.2388669112623405 " " y[1] (numeric) = 2.2388669112623405 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7336737353317286 " " Order of pole = 2.1839536932478545 " " x[1] = 0.7200000000000005 " " y[1] (analytic) = 2.2394835107263784 " " y[1] (numeric) = 2.2394835107263784 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7340841545472037 " " Order of pole = 2.1838322178351497 " " x[1] = 0.7210000000000005 " " y[1] (analytic) = 2.240100729613343 " " y[1] (numeric) = 2.240100729613343 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7344951205753956 " " Order of pole = 2.1837118010515155 " " x[1] = 0.7220000000000005 " " y[1] (analytic) = 2.240718567159067 " " y[1] (numeric) = 2.240718567159067 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7349066377144988 " " Order of pole = 2.183592517375292 " " x[1] = 0.7230000000000005 " " y[1] (analytic) = 2.241337022599562 " " y[1] (numeric) = 2.241337022599562 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7353187102087924 " " Order of pole = 2.183474440393791 " " x[1] = 0.7240000000000005 " " y[1] (analytic) = 2.241956095171019 " " y[1] (numeric) = 2.2419560951710196 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.98081135846769100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7357313422458451 " " Order of pole = 2.1833576427589882 " " x[1] = 0.7250000000000005 " " y[1] (analytic) = 2.242575784109815 " " y[1] (numeric) = 2.2425757841098153 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.980264002655958400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7361445379537739 " " Order of pole = 2.183242196144029 " " x[1] = 0.7260000000000005 " " y[1] (analytic) = 2.2431960886525095 " " y[1] (numeric) = 2.2431960886525104 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.959432811928871300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7365583013985182 " " Order of pole = 2.183128171200039 " " x[1] = 0.7270000000000005 " " y[1] (analytic) = 2.243817008035854 " " y[1] (numeric) = 2.2438170080358546 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.979168569716833500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7369726365812632 " " Order of pole = 2.183015637515421 " " x[1] = 0.7280000000000005 " " y[1] (analytic) = 2.244438541496789 " " y[1] (numeric) = 2.2444385414967893 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97862049523487900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7373875474358282 " " Order of pole = 2.1829046635746394 " " x[1] = 0.7290000000000005 " " y[1] (analytic) = 2.2450606882724498 " " y[1] (numeric) = 2.2450606882724498 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7378030378261127 " " Order of pole = 2.182795316717801 " " x[1] = 0.7300000000000005 " " y[1] (analytic) = 2.245683447600167 " " y[1] (numeric) = 2.2456834476001672 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97752363684487810000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7382191115436472 " " Order of pole = 2.1826876631022074 " " x[1] = 0.7310000000000005 " " y[1] (analytic) = 2.2463068187174713 " " y[1] (numeric) = 2.2463068187174713 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7386357723051986 " " Order of pole = 2.182581767664601 " " x[1] = 0.7320000000000005 " " y[1] (analytic) = 2.246930800862094 " " y[1] (numeric) = 2.246930800862094 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.739053023750359 " " Order of pole = 2.182477694083296 " " x[1] = 0.7330000000000005 " " y[1] (analytic) = 2.2475553932719707 " " y[1] (numeric) = 2.2475553932719707 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7394708694392993 " " Order of pole = 2.1823755047429287 " " x[1] = 0.7340000000000005 " " y[1] (analytic) = 2.248180595185244 " " y[1] (numeric) = 2.248180595185244 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7398893128505206 " " Order of pole = 2.182275260699246 " " x[1] = 0.7350000000000005 " " y[1] (analytic) = 2.248806405840264 " " y[1] (numeric) = 2.248806405840264 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7403083573786604 " " Order of pole = 2.1821770216448115 " " x[1] = 0.7360000000000005 " " y[1] (analytic) = 2.249432824475595 " " y[1] (numeric) = 2.2494328244755946 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97422748089217600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7407280063323924 " " Order of pole = 2.1820808458761363 " " x[1] = 0.7370000000000005 " " y[1] (analytic) = 2.250059850330012 " " y[1] (numeric) = 2.250059850330012 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7411482629324124 " " Order of pole = 2.181986790262357 " " x[1] = 0.7380000000000005 " " y[1] (analytic) = 2.2506874826425096 " " y[1] (numeric) = 2.2506874826425096 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7415691303093428 " " Order of pole = 2.181894910212577 " " x[1] = 0.7390000000000005 " " y[1] (analytic) = 2.2513157206522996 " " y[1] (numeric) = 2.2513157206522996 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7419906115020067 " " Order of pole = 2.181805259649135 " " x[1] = 0.7400000000000005 " " y[1] (analytic) = 2.2519445635988165 " " y[1] (numeric) = 2.2519445635988165 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7424127094553552 " " Order of pole = 2.1817178909753103 " " x[1] = 0.7410000000000005 " " y[1] (analytic) = 2.252574010721718 " " y[1] (numeric) = 2.252574010721718 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7428354270188742 " " Order of pole = 2.181632855050921 " " x[1] = 0.7420000000000005 " " y[1] (analytic) = 2.253204061260889 " " y[1] (numeric) = 2.2532040612608886 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.970923173294615300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7432587669446904 " " Order of pole = 2.181550201162878 " " x[1] = 0.7430000000000005 " " y[1] (analytic) = 2.253834714456443 " " y[1] (numeric) = 2.2538347144564423 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97037168254444780000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7436827318860988 " " Order of pole = 2.1814699770026458 " " x[1] = 0.7440000000000005 " " y[1] (analytic) = 2.2544659695487246 " " y[1] (numeric) = 2.254465969548724 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.969819974434813800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7441073243958571 " " Order of pole = 2.1813922286399787 " " x[1] = 0.7450000000000006 " " y[1] (analytic) = 2.2550978257783134 " " y[1] (numeric) = 2.255097825778313 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.96926805025317200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7445325469247028 " " Order of pole = 2.1813170005002362 " " x[1] = 0.7460000000000006 " " y[1] (analytic) = 2.2557302823860246 " " y[1] (numeric) = 2.255730282386024 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.96871591128493500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7449584018198905 " " Order of pole = 2.181244335342072 " " x[1] = 0.7470000000000006 " " y[1] (analytic) = 2.2563633386129123 " " y[1] (numeric) = 2.256363338612912 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.968163558813467400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7453848913239396 " " Order of pole = 2.181174274238373 " " x[1] = 0.7480000000000006 " " y[1] (analytic) = 2.2569969937002714 " " y[1] (numeric) = 2.256996993700271 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.967610994120081400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7458120175730967 " " Order of pole = 2.1811068565528267 " " x[1] = 0.7490000000000006 " " y[1] (analytic) = 2.2576312468896416 " " y[1] (numeric) = 2.257631246889641 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.96705821848403380000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7462397825963667 " " Order of pole = 2.181042119925525 " " x[1] = 0.7500000000000006 " " y[1] (analytic) = 2.2582660974228075 " " y[1] (numeric) = 2.258266097422807 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.966505233182523600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7466681883141377 " " Order of pole = 2.18098010025205 " " x[1] = 0.7510000000000006 " " y[1] (analytic) = 2.258901544541802 " " y[1] (numeric) = 2.258901544541802 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7470972365372566 " " Order of pole = 2.180920831669784 " " x[1] = 0.7520000000000006 " " y[1] (analytic) = 2.2595375874889108 " " y[1] (numeric) = 2.2595375874889108 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7475269289658455 " " Order of pole = 2.180864346540183 " " x[1] = 0.7530000000000006 " " y[1] (analytic) = 2.2601742255066704 " " y[1] (numeric) = 2.2601742255066704 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.747957267188497 " " Order of pole = 2.180810675436998 " " x[1] = 0.7540000000000006 " " y[1] (analytic) = 2.260811457837874 " " y[1] (numeric) = 2.260811457837874 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7483882526813517 " " Order of pole = 2.1807598471326806 " " x[1] = 0.7550000000000006 " " y[1] (analytic) = 2.2614492837255735 " " y[1] (numeric) = 2.2614492837255735 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7488198868072002 " " Order of pole = 2.18071188858519 " " x[1] = 0.7560000000000006 " " y[1] (analytic) = 2.26208770241308 " " y[1] (numeric) = 2.26208770241308 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7492521708149527 " " Order of pole = 2.1806668249306256 " " x[1] = 0.7570000000000006 " " y[1] (analytic) = 2.2627267131439677 " " y[1] (numeric) = 2.2627267131439677 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7496851058387477 " " Order of pole = 2.1806246794702275 " " x[1] = 0.7580000000000006 " " y[1] (analytic) = 2.2633663151620755 " " y[1] (numeric) = 2.263366315162076 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.96207395539622210000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7501186928975254 " " Order of pole = 2.180585473664646 " " x[1] = 0.7590000000000006 " " y[1] (analytic) = 2.2640065077115117 " " y[1] (numeric) = 2.2640065077115117 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7505529328944682 " " Order of pole = 2.180549227126143 " " x[1] = 0.7600000000000006 " " y[1] (analytic) = 2.2646472900366517 " " y[1] (numeric) = 2.2646472900366517 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7509878266164864 " " Order of pole = 2.180515957611629 " " x[1] = 0.7610000000000006 " " y[1] (analytic) = 2.265288661382144 " " y[1] (numeric) = 2.265288661382144 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7514233747339525 " " Order of pole = 2.180485681019505 " " x[1] = 0.7620000000000006 " " y[1] (analytic) = 2.2659306209929126 " " y[1] (numeric) = 2.2659306209929126 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7518595778003436 " " Order of pole = 2.180458411385107 " " x[1] = 0.7630000000000006 " " y[1] (analytic) = 2.2665731681141565 " " y[1] (numeric) = 2.2665731681141565 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7522964362519182 " " Order of pole = 2.1804341608767572 " " x[1] = 0.7640000000000006 " " y[1] (analytic) = 2.2672163019913545 " " y[1] (numeric) = 2.267216301991355 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.958742134396297400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7527339504077268 " " Order of pole = 2.180412939797037 " " x[1] = 0.7650000000000006 " " y[1] (analytic) = 2.2678600218702676 " " y[1] (numeric) = 2.2678600218702676 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7531721204694226 " " Order of pole = 2.1803947565809096 " " x[1] = 0.7660000000000006 " " y[1] (analytic) = 2.2685043269969385 " " y[1] (numeric) = 2.2685043269969385 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7536109465212715 " " Order of pole = 2.1803796177969943 " " x[1] = 0.7670000000000006 " " y[1] (analytic) = 2.269149216617697 " " y[1] (numeric) = 2.269149216617697 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7540504285300749 " " Order of pole = 2.1803675281475847 " " x[1] = 0.7680000000000006 " " y[1] (analytic) = 2.269794689979162 " " y[1] (numeric) = 2.269794689979162 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7544905663454216 " " Order of pole = 2.180358490473669 " " x[1] = 0.7690000000000006 " " y[1] (analytic) = 2.2704407463282408 " " y[1] (numeric) = 2.2704407463282408 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7549313596999574 " " Order of pole = 2.1803525057603395 " " x[1] = 0.7700000000000006 " " y[1] (analytic) = 2.2710873849121342 " " y[1] (numeric) = 2.2710873849121342 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7553728082093054 " " Order of pole = 2.1803495731367555 " " x[1] = 0.7710000000000006 " " y[1] (analytic) = 2.271734604978339 " " y[1] (numeric) = 2.271734604978339 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.755814911372761 " " Order of pole = 2.180349689888189 " " x[1] = 0.7720000000000006 " " y[1] (analytic) = 2.2723824057746476 " " y[1] (numeric) = 2.2723824057746476 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.756257668573406 " " Order of pole = 2.18035285145902 " " x[1] = 0.7730000000000006 " " y[1] (analytic) = 2.273030786549153 " " y[1] (numeric) = 2.273030786549153 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7567010790787763 " " Order of pole = 2.180359051464354 " " x[1] = 0.7740000000000006 " " y[1] (analytic) = 2.2736797465502487 " " y[1] (numeric) = 2.2736797465502487 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7571451420414543 " " Order of pole = 2.1803682817005345 " " x[1] = 0.7750000000000006 " " y[1] (analytic) = 2.2743292850266337 " " y[1] (numeric) = 2.2743292850266337 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7575898564982289 " " Order of pole = 2.180380532133327 " " x[1] = 0.7760000000000006 " " y[1] (analytic) = 2.274979401227312 " " y[1] (numeric) = 2.274979401227312 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7580352213747115 " " Order of pole = 2.1803957909710157 " " x[1] = 0.7770000000000006 " " y[1] (analytic) = 2.2756300944015955 " " y[1] (numeric) = 2.275630094401596 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.951499986498646300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.75848123548007 " " Order of pole = 2.18041404458371 " " x[1] = 0.7780000000000006 " " y[1] (analytic) = 2.276281363799108 " " y[1] (numeric) = 2.2762813637991086 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.950941640662904600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7589278975131935 " " Order of pole = 2.1804352776006333 " " x[1] = 0.7790000000000006 " " y[1] (analytic) = 2.276933208669785 " " y[1] (numeric) = 2.2769332086697855 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95038312129280880000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7593752060608074 " " Order of pole = 2.180459472882024 " " x[1] = 0.7800000000000006 " " y[1] (analytic) = 2.2775856282638767 " " y[1] (numeric) = 2.2775856282638776 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.89964885920514150000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7598231595988731 " " Order of pole = 2.180486611542239 " " x[1] = 0.7810000000000006 " " y[1] (analytic) = 2.2782386218319512 " " y[1] (numeric) = 2.278238621831952 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.8985311336085300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7602717564938153 " " Order of pole = 2.180516672970114 " " x[1] = 0.7820000000000006 " " y[1] (analytic) = 2.278892188624895 " " y[1] (numeric) = 2.278892188624896 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.8974130682156600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7607209950032137 " " Order of pole = 2.1805496348410713 " " x[1] = 0.7830000000000006 " " y[1] (analytic) = 2.2795463278939168 " " y[1] (numeric) = 2.2795463278939176 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.896294665442125000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7611708732771274 " " Order of pole = 2.18058547313899 " " x[1] = 0.7840000000000006 " " y[1] (analytic) = 2.2802010388905476 " " y[1] (numeric) = 2.2802010388905485 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.89517592769923700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7616213893591604 " " Order of pole = 2.1806241621741087 " " x[1] = 0.7850000000000006 " " y[1] (analytic) = 2.2808563208666452 " " y[1] (numeric) = 2.280856320866646 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.89405685739401900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7620725411875988 " " Order of pole = 2.180665674601947 " " x[1] = 0.7860000000000006 " " y[1] (analytic) = 2.2815121730743955 " " y[1] (numeric) = 2.281512173074396 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.946468728464600400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7625243265967658 " " Order of pole = 2.1807099814457978 " " x[1] = 0.7870000000000006 " " y[1] (analytic) = 2.2821685947663126 " " y[1] (numeric) = 2.282168594766313 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.945908864351610400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7629767433182348 " " Order of pole = 2.1807570521167214 " " x[1] = 0.7880000000000006 " " y[1] (analytic) = 2.2828255851952446 " " y[1] (numeric) = 2.282825585195245 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.945348837555107300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.763429788982248 " " Order of pole = 2.1808068544370336 " " x[1] = 0.7890000000000006 " " y[1] (analytic) = 2.2834831436143723 " " y[1] (numeric) = 2.2834831436143728 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.944788649270007800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7638834611192162 " " Order of pole = 2.1808593546649035 " " x[1] = 0.7900000000000006 " " y[1] (analytic) = 2.2841412692772134 " " y[1] (numeric) = 2.2841412692772143 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.888456601378152400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7643377571609495 " " Order of pole = 2.180914517514612 " " x[1] = 0.7910000000000006 " " y[1] (analytic) = 2.2847999614376246 " " y[1] (numeric) = 2.2847999614376255 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.887335586005842000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.76479267444243 " " Order of pole = 2.1809723061855877 " " x[1] = 0.7920000000000006 " " y[1] (analytic) = 2.285459219349802 " " y[1] (numeric) = 2.285459219349803 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.82932138219998200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7652482102032665 " " Order of pole = 2.1810326823860855 " " x[1] = 0.7930000000000006 " " y[1] (analytic) = 2.2861190422682847 " " y[1] (numeric) = 2.286119042268286 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.82763891519976800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7657043615894126 " " Order of pole = 2.1810956063613354 " " x[1] = 0.7940000000000006 " " y[1] (analytic) = 2.286779429447957 " " y[1] (numeric) = 2.286779429447958 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.8259559815605200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.766161125654646 " " Order of pole = 2.181161036917622 " " x[1] = 0.7950000000000006 " " y[1] (analytic) = 2.2874403801440484 " " y[1] (numeric) = 2.2874403801440497 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.82427258482815600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7666184993624519 " " Order of pole = 2.181228931452825 " " x[1] = 0.7960000000000006 " " y[1] (analytic) = 2.2881018936121387 " " y[1] (numeric) = 2.28810189361214 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.82258872854210200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7670764795878193 " " Order of pole = 2.1812992459856027 " " x[1] = 0.7970000000000006 " " y[1] (analytic) = 2.288763969108158 " " y[1] (numeric) = 2.2887639691081594 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.82090441623528500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.767535063118898 " " Order of pole = 2.1813719351822805 " " x[1] = 0.7980000000000006 " " y[1] (analytic) = 2.289426605888389 " " y[1] (numeric) = 2.2894266058883903 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.81921965143414100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.767994246658986 " " Order of pole = 2.181446952388985 " " x[1] = 0.7990000000000006 " " y[1] (analytic) = 2.2900898032094696 " " y[1] (numeric) = 2.2900898032094705 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.87835629177239500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.768454026828376 " " Order of pole = 2.181524249661429 " " x[1] = 0.8000000000000006 " " y[1] (analytic) = 2.290753560328394 " " y[1] (numeric) = 2.2907535603283953 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.81584877842206100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7689144001662487 " " Order of pole = 2.1816037777955444 " " x[1] = 0.8010000000000006 " " y[1] (analytic) = 2.2914178765025164 " " y[1] (numeric) = 2.2914178765025177 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.81416267723145100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7693753631328764 " " Order of pole = 2.1816854863628414 " " x[1] = 0.8020000000000006 " " y[1] (analytic) = 2.292082750989551 " " y[1] (numeric) = 2.2920827509895525 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.81247613758715100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7698369121112603 " " Order of pole = 2.181769323736919 " " x[1] = 0.8030000000000006 " " y[1] (analytic) = 2.2927481830475758 " " y[1] (numeric) = 2.292748183047577 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.81078916298302700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7702990434095818 " " Order of pole = 2.181855237132769 " " x[1] = 0.8040000000000006 " " y[1] (analytic) = 2.293414171935033 " " y[1] (numeric) = 2.2934141719350345 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.80910175690641900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7707617532630064 " " Order of pole = 2.1819431726357195 " " x[1] = 0.8050000000000006 " " y[1] (analytic) = 2.2940807169107327 " " y[1] (numeric) = 2.294080716910734 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.80741392283813500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7712250378360241 " " Order of pole = 2.1820330752389765 " " x[1] = 0.8060000000000006 " " y[1] (analytic) = 2.2947478172338527 " " y[1] (numeric) = 2.294747817233854 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.80572566425245400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7716888932245864 " " Order of pole = 2.182124888877837 " " x[1] = 0.8070000000000006 " " y[1] (analytic) = 2.2954154721639424 " " y[1] (numeric) = 2.2954154721639437 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.80403698461711500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7721533154580085 " " Order of pole = 2.1822185564601497 " " x[1] = 0.8080000000000006 " " y[1] (analytic) = 2.2960836809609244 " " y[1] (numeric) = 2.2960836809609257 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.80234788739331200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7726183005016416 " " Order of pole = 2.182314019908919 " " x[1] = 0.8090000000000006 " " y[1] (analytic) = 2.296752442885096 " " y[1] (numeric) = 2.296752442885097 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.80065837603569700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7730838442589998 " " Order of pole = 2.1824112201963537 " " x[1] = 0.8100000000000006 " " y[1] (analytic) = 2.2974217571971303 " " y[1] (numeric) = 2.2974217571971316 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.79896845399237100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7735499425737533 " " Order of pole = 2.1825100973756015 " " x[1] = 0.8110000000000006 " " y[1] (analytic) = 2.298091623158081 " " y[1] (numeric) = 2.298091623158082 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.86485208313658800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7740165912324954 " " Order of pole = 2.1826105906247726 " " x[1] = 0.8120000000000006 " " y[1] (analytic) = 2.2987620400293807 " " y[1] (numeric) = 2.2987620400293816 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.86372492773881600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.774483785966804 " " Order of pole = 2.1827126382798454 " " x[1] = 0.8130000000000006 " " y[1] (analytic) = 2.299433007072846 " " y[1] (numeric) = 2.299433007072847 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.86259750542055200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7749515224556274 " " Order of pole = 2.182816177872482 " " x[1] = 0.8140000000000006 " " y[1] (analytic) = 2.300104523550677 " " y[1] (numeric) = 2.300104523550678 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.86146981846304100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7754197963278655 " " Order of pole = 2.1829211461711076 " " x[1] = 0.8150000000000006 " " y[1] (analytic) = 2.300776588725461 " " y[1] (numeric) = 2.300776588725462 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.86034186914315200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7758886031645658 " " Order of pole = 2.1830274792156814 " " x[1] = 0.8160000000000006 " " y[1] (analytic) = 2.3014492018601738 " " y[1] (numeric) = 2.3014492018601747 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.859213659733373700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7763579385015495 " " Order of pole = 2.183135112359338 " " x[1] = 0.8170000000000006 " " y[1] (analytic) = 2.30212236221818 " " y[1] (numeric) = 2.3021223622181815 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.78712778875271700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7768277978316394 " " Order of pole = 2.1832439803037147 " " x[1] = 0.8180000000000006 " " y[1] (analytic) = 2.302796069063239 " " y[1] (numeric) = 2.30279606906324 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.856956469712188000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7772981766074525 " " Order of pole = 2.183354017143092 " " x[1] = 0.8190000000000006 " " y[1] (analytic) = 2.303470321659501 " " y[1] (numeric) = 2.303470321659502 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.85582749362383900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7777690702436404 " " Order of pole = 2.1834651563997696 " " x[1] = 0.8200000000000006 " " y[1] (analytic) = 2.3041451192715154 " " y[1] (numeric) = 2.3041451192715163 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.854698266491713400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.778240474119455 " " Order of pole = 2.1835773310646864 " " x[1] = 0.8210000000000006 " " y[1] (analytic) = 2.3048204611642267 " " y[1] (numeric) = 2.304820461164228 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.78035318584955600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7787123835813556 " " Order of pole = 2.1836904736384817 " " x[1] = 0.8220000000000006 " " y[1] (analytic) = 2.3054963466029808 " " y[1] (numeric) = 2.305496346602982 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.77865860214096200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7791847939455092 " " Order of pole = 2.183804516170923 " " x[1] = 0.8230000000000006 " " y[1] (analytic) = 2.3061727748535246 " " y[1] (numeric) = 2.306172774853526 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.77696365197445500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.779657700500253 " " Order of pole = 2.1839193902997103 " " x[1] = 0.8240000000000006 " " y[1] (analytic) = 2.3068497451820082 " " y[1] (numeric) = 2.3068497451820096 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.77526833870609700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7801310985087524 " " Order of pole = 2.1840350272922997 " " x[1] = 0.8250000000000006 " " y[1] (analytic) = 2.3075272568549874 " " y[1] (numeric) = 2.3075272568549887 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.77357266568536100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.78060498321153 " " Order of pole = 2.184151358085714 " " x[1] = 0.8260000000000006 " " y[1] (analytic) = 2.3082053091394243 " " y[1] (numeric) = 2.3082053091394257 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.77187663625512300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7810793498290982 " " Order of pole = 2.184268313327834 " " x[1] = 0.8270000000000006 " " y[1] (analytic) = 2.3088839013026905 " " y[1] (numeric) = 2.308883901302692 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.77018025375165900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7815541935644268 " " Order of pole = 2.1843858234161573 " " x[1] = 0.8280000000000006 " " y[1] (analytic) = 2.309563032612568 " " y[1] (numeric) = 2.3095630326125693 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.76848352150463800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7820295096055643 " " Order of pole = 2.1845038185389747 " " x[1] = 0.8290000000000006 " " y[1] (analytic) = 2.310242702337251 " " y[1] (numeric) = 2.310242702337253 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.68904859044950900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7825052931283674 " " Order of pole = 2.184622228718041 " " x[1] = 0.8300000000000006 " " y[1] (analytic) = 2.31092290974535 " " y[1] (numeric) = 2.310922909745351 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.76508902106559700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7829815392988284 " " Order of pole = 2.184740983845142 " " x[1] = 0.8310000000000006 " " y[1] (analytic) = 2.311603654105888 " " y[1] (numeric) = 2.3116036541058893 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.76339125949988800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7834582432758257 " " Order of pole = 2.184860013725004 " " x[1] = 0.8320000000000006 " " y[1] (analytic) = 2.312284934688309 " " y[1] (numeric) = 2.3122849346883103 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.76169316144324900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7839354002137238 " " Order of pole = 2.184979248116065 " " x[1] = 0.8330000000000006 " " y[1] (analytic) = 2.3129667507624756 " " y[1] (numeric) = 2.312966750762477 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.75999473019230500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.784413005264971 " " Order of pole = 2.1850986167709507 " " x[1] = 0.8340000000000006 " " y[1] (analytic) = 2.313649101598672 " " y[1] (numeric) = 2.3136491015986733 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.75829596903707400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7848910535824478 " " Order of pole = 2.1852180494731783 " " x[1] = 0.8350000000000006 " " y[1] (analytic) = 2.3143319864676046 " " y[1] (numeric) = 2.3143319864676064 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.67546250834793800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7853695403224148 " " Order of pole = 2.1853374760831166 " " x[1] = 0.8360000000000006 " " y[1] (analytic) = 2.3150154046404072 " " y[1] (numeric) = 2.3150154046404086 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.75489747014072200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7858484606467162 " " Order of pole = 2.1854568265723167 " " x[1] = 0.8370000000000006 " " y[1] (analytic) = 2.3156993553886376 " " y[1] (numeric) = 2.315699355388639 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.75319773894654400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7863278097255098 " " Order of pole = 2.1855760310660024 " " x[1] = 0.8380000000000006 " " y[1] (analytic) = 2.3163838379842834 " " y[1] (numeric) = 2.316383837984285 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66866358792261200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7868075827399084 " " Order of pole = 2.185695019884186 " " x[1] = 0.8390000000000006 " " y[1] (analytic) = 2.317068851699763 " " y[1] (numeric) = 2.317068851699765 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66639643917851100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.787287774884227 " " Order of pole = 2.1858137235765724 " " x[1] = 0.8400000000000006 " " y[1] (analytic) = 2.317754395807926 " " y[1] (numeric) = 2.3177543958079276 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66412887669681500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.787768381368844 " " Order of pole = 2.1859320729669776 " " x[1] = 0.8410000000000006 " " y[1] (analytic) = 2.318440469582055 " " y[1] (numeric) = 2.3184404695820566 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66186090480241700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7882493974223685 " " Order of pole = 2.1860499991870057 " " x[1] = 0.8420000000000006 " " y[1] (analytic) = 2.3191270722958692 " " y[1] (numeric) = 2.319127072295871 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.65959252781137300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7887308182945094 " " Order of pole = 2.186167433720474 " " x[1] = 0.8430000000000006 " " y[1] (analytic) = 2.3198142032235243 " " y[1] (numeric) = 2.3198142032235265 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.57165468753862800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7892126392580618 " " Order of pole = 2.1862843084341677 " " x[1] = 0.8440000000000006 " " y[1] (analytic) = 2.3205018616396154 " " y[1] (numeric) = 2.3205018616396176 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5688182196992290000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7896948556119145 " " Order of pole = 2.186400555624477 " " x[1] = 0.8450000000000006 " " y[1] (analytic) = 2.321190046819177 " " y[1] (numeric) = 2.3211900468191793 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.56598126160795200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7901774626829232 " " Order of pole = 2.1865161080462165 " " x[1] = 0.8460000000000006 " " y[1] (analytic) = 2.3218787580376867 " " y[1] (numeric) = 2.321878758037689 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5631438186156690000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7906604558288404 " " Order of pole = 2.186630898958022 " " x[1] = 0.8470000000000006 " " y[1] (analytic) = 2.3225679945710653 " " y[1] (numeric) = 2.3225679945710676 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.56030589606220600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7911438304402652 " " Order of pole = 2.1867448621523096 " " x[1] = 0.8480000000000006 " " y[1] (analytic) = 2.32325775569568 " " y[1] (numeric) = 2.3232577556956824 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5574674992763300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.791627581943452 " " Order of pole = 2.1868579319987234 " " x[1] = 0.8490000000000006 " " y[1] (analytic) = 2.3239480406883444 " " y[1] (numeric) = 2.3239480406883466 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55462863357575600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7921117058021725 " " Order of pole = 2.186970043472666 " " x[1] = 0.8500000000000006 " " y[1] (analytic) = 2.324638848826321 " " y[1] (numeric) = 2.324638848826323 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5517893042671410000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7925961975203502 " " Order of pole = 2.1870811321959778 " " x[1] = 0.8510000000000006 " " y[1] (analytic) = 2.3253301793873233 " " y[1] (numeric) = 2.3253301793873256 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.54894951664608400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.793081052644258 " " Order of pole = 2.1871911344706056 " " x[1] = 0.8520000000000006 " " y[1] (analytic) = 2.3260220316495164 " " y[1] (numeric) = 2.3260220316495186 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.54610927599712700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.793566266764842 " " Order of pole = 2.187299987314411 " " x[1] = 0.8530000000000006 " " y[1] (analytic) = 2.3267144048915194 " " y[1] (numeric) = 2.3267144048915216 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.54326858759375400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.794051835519685 " " Order of pole = 2.187407628491151 " " x[1] = 0.8540000000000006 " " y[1] (analytic) = 2.327407298392407 " " y[1] (numeric) = 2.327407298392409 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.54042745669838600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7945377545955876 " " Order of pole = 2.1875139965501766 " " x[1] = 0.8550000000000006 " " y[1] (analytic) = 2.32810071143171 " " y[1] (numeric) = 2.3281007114317123 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53758588856238700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7950240197304872 " " Order of pole = 2.1876190308557746 " " x[1] = 0.8560000000000006 " " y[1] (analytic) = 2.3287946432894198 " " y[1] (numeric) = 2.328794643289422 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53474388842605600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7955106267155083 " " Order of pole = 2.187722671618406 " " x[1] = 0.8570000000000007 " " y[1] (analytic) = 2.3294890932459857 " " y[1] (numeric) = 2.329489093245988 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53190146151863500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7959975713973333 " " Order of pole = 2.18782485993113 " " x[1] = 0.8580000000000007 " " y[1] (analytic) = 2.3301840605823205 " " y[1] (numeric) = 2.3301840605823227 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52905861305830200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7964848496799861 " " Order of pole = 2.1879255377966444 " " x[1] = 0.8590000000000007 " " y[1] (analytic) = 2.3308795445797994 " " y[1] (numeric) = 2.3308795445798016 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52621534825217800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7969724575270154 " " Order of pole = 2.1880246481606314 " " x[1] = 0.8600000000000007 " " y[1] (analytic) = 2.3315755445202635 " " y[1] (numeric) = 2.3315755445202657 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52337167229631400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.797460390963399 " " Order of pole = 2.188122134940791 " " x[1] = 0.8610000000000007 " " y[1] (analytic) = 2.33227205968602 " " y[1] (numeric) = 2.332272059686022 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52052759037570700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7979486460778 " " Order of pole = 2.188217943061151 " " x[1] = 0.8620000000000007 " " y[1] (analytic) = 2.332969089359844 " " y[1] (numeric) = 2.332969089359846 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51768310766429100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7984372190232993 " " Order of pole = 2.188312018462735 " " x[1] = 0.8630000000000007 " " y[1] (analytic) = 2.3336666328249804 " " y[1] (numeric) = 2.3336666328249827 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51483822932493900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.798926106021342 " " Order of pole = 2.1884043081644613 " " x[1] = 0.8640000000000007 " " y[1] (analytic) = 2.334364689365146 " " y[1] (numeric) = 2.3343646893651484 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51199296050946300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7994153033611333 " " Order of pole = 2.1884947602525777 " " x[1] = 0.8650000000000007 " " y[1] (analytic) = 2.3350632582645305 " " y[1] (numeric) = 2.3350632582645328 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50914730635861500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.7999048074036728 " " Order of pole = 2.1885833239430994 " " x[1] = 0.8660000000000007 " " y[1] (analytic) = 2.335762338807797 " " y[1] (numeric) = 2.335762338807799 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50630127200208800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8003946145812335 " " Order of pole = 2.18866994957245 " " x[1] = 0.8670000000000007 " " y[1] (analytic) = 2.3364619302800844 " " y[1] (numeric) = 2.3364619302800866 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50345486255851900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8008847214014017 " " Order of pole = 2.1887545886599327 " " x[1] = 0.8680000000000007 " " y[1] (analytic) = 2.33716203196701 " " y[1] (numeric) = 2.3371620319670123 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50060808313548600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8013751244468408 " " Order of pole = 2.188837193902966 " " x[1] = 0.8690000000000007 " " y[1] (analytic) = 2.3378626431546703 " " y[1] (numeric) = 2.3378626431546725 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.49776093882950600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8018658203776587 " " Order of pole = 2.1889177192130305 " " x[1] = 0.8700000000000007 " " y[1] (analytic) = 2.338563763129641 " " y[1] (numeric) = 2.338563763129643 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.49491343472604800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8023568059330168 " " Order of pole = 2.1889961197399828 " " x[1] = 0.8710000000000007 " " y[1] (analytic) = 2.33926539117898 " " y[1] (numeric) = 2.3392653911789827 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1390478691079430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.802848077932211 " " Order of pole = 2.1890723518878232 " " x[1] = 0.8720000000000007 " " y[1] (analytic) = 2.3399675265902298 " " y[1] (numeric) = 2.3399675265902324 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1387060840895949000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8033396332764697 " " Order of pole = 2.1891463733419307 " " x[1] = 0.8730000000000007 " " y[1] (analytic) = 2.340670168651417 " " y[1] (numeric) = 2.3406701686514193 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48636881431965500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.803831468950175 " " Order of pole = 2.1892181430869826 " " x[1] = 0.8740000000000007 " " y[1] (analytic) = 2.341373316651054 " " y[1] (numeric) = 2.3413733166510564 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48351992165987600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8043235820222745 " " Order of pole = 2.1892876214280754 " " x[1] = 0.8750000000000007 " " y[1] (analytic) = 2.3420769698781423 " " y[1] (numeric) = 2.342076969878145 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13768048333569950000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8048159696475 " " Order of pole = 2.1893547700087232 " " x[1] = 0.8760000000000007 " " y[1] (analytic) = 2.3427811276221724 " " y[1] (numeric) = 2.342781127622175 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1373385365302010000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.805308629067627 " " Order of pole = 2.18941955182947 " " x[1] = 0.8770000000000007 " " y[1] (analytic) = 2.3434857891731253 " " y[1] (numeric) = 2.343485789173128 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13699655078366380000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.805801557612611 " " Order of pole = 2.1894819312646163 " " x[1] = 0.8780000000000007 " " y[1] (analytic) = 2.344190953821475 " " y[1] (numeric) = 2.344190953821477 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.47212105579780400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8062947527018696 " " Order of pole = 2.1895418740811934 " " x[1] = 0.8790000000000007 " " y[1] (analytic) = 2.344896620858188 " " y[1] (numeric) = 2.34489662085819 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4692705405395300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.806788211845126 " " Order of pole = 2.1895993474510433 " " x[1] = 0.8800000000000007 " " y[1] (analytic) = 2.345602789574727 " " y[1] (numeric) = 2.345602789574729 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.46641971573070400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8072819326435503 " " Order of pole = 2.1896543199676373 " " x[1] = 0.8810000000000007 " " y[1] (analytic) = 2.3463094592630513 " " y[1] (numeric) = 2.3463094592630536 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4635685863352800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8077759127907307 " " Order of pole = 2.1897067616601475 " " x[1] = 0.8820000000000007 " " y[1] (analytic) = 2.3470166292156183 " " y[1] (numeric) = 2.3470166292156205 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.46071715730618500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8082701500735299 " " Order of pole = 2.1897566440057368 " " x[1] = 0.8830000000000007 " " y[1] (analytic) = 2.3477242987253844 " " y[1] (numeric) = 2.3477242987253866 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.45786543358531300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8087646423729535 " " Order of pole = 2.18980393994212 " " x[1] = 0.8840000000000007 " " y[1] (analytic) = 2.3484324670858068 " " y[1] (numeric) = 2.348432467085809 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.45501342010352400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8092593876649985 " " Order of pole = 2.1898486238796373 " " x[1] = 0.8850000000000007 " " y[1] (analytic) = 2.349141133590846 " " y[1] (numeric) = 2.3491411335908476 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.56172889742452400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8097543840212136 " " Order of pole = 2.18989067170903 " " x[1] = 0.8860000000000007 " " y[1] (analytic) = 2.349850297534964 " " y[1] (numeric) = 2.3498502975349664 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44930854352552300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8102496296095965 " " Order of pole = 2.1899300608143406 " " x[1] = 0.8870000000000007 " " y[1] (analytic) = 2.350559958213131 " " y[1] (numeric) = 2.3505599582131333 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44645569023591600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8107451226950653 " " Order of pole = 2.1899667700791845 " " x[1] = 0.8880000000000007 " " y[1] (analytic) = 2.3512701149208217 " " y[1] (numeric) = 2.3512701149208235 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.55488205343888700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8112408616401239 " " Order of pole = 2.19000077989611 " " x[1] = 0.8890000000000007 " " y[1] (analytic) = 2.351980766954018 " " y[1] (numeric) = 2.35198076695402 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44074917808936200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8117368449052635 " " Order of pole = 2.1900320721718067 " " x[1] = 0.8900000000000007 " " y[1] (analytic) = 2.352691913609213 " " y[1] (numeric) = 2.352691913609215 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.43789552897291900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8122330710494945 " " Order of pole = 2.190060630334333 " " x[1] = 0.8910000000000007 " " y[1] (analytic) = 2.3534035541834086 " " y[1] (numeric) = 2.353403554183411 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.43504162430302100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8127295387306563 " " Order of pole = 2.190086439336909 " " x[1] = 0.8920000000000007 " " y[1] (analytic) = 2.35411568797412 " " y[1] (numeric) = 2.3541156879741223 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.432187468922400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8132262467058782 " " Order of pole = 2.1901094856640633 " " x[1] = 0.8930000000000007 " " y[1] (analytic) = 2.3548283142793753 " " y[1] (numeric) = 2.354828314279377 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.5434664541302300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8137231938317369 " " Order of pole = 2.1901297573330396 " " x[1] = 0.8940000000000007 " " y[1] (analytic) = 2.355541432397716 " " y[1] (numeric) = 2.355541432397718 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.42647842534491600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8142203790645048 " " Order of pole = 2.1901472438967 " " x[1] = 0.8950000000000007 " " y[1] (analytic) = 2.3562550416282018 " " y[1] (numeric) = 2.3562550416282035 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.53889883742281800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8147178014603293 " " Order of pole = 2.1901619364452536 " " x[1] = 0.8960000000000007 " " y[1] (analytic) = 2.3569691412704072 " " y[1] (numeric) = 2.3569691412704095 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.42076843676235800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8152154601753567 " " Order of pole = 2.190173827607193 " " x[1] = 0.8970000000000007 " " y[1] (analytic) = 2.357683730624428 " " y[1] (numeric) = 2.35768373062443 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.41791310008417600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8157133544656834 " " Order of pole = 2.190182911547545 " " x[1] = 0.8980000000000007 " " y[1] (analytic) = 2.3583988089908776 " " y[1] (numeric) = 2.35839880899088 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.41505754152075600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8162114836874885 " " Order of pole = 2.1901891839689256 " " x[1] = 0.8990000000000007 " " y[1] (analytic) = 2.359114375670892 " " y[1] (numeric) = 2.3591143756708943 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.41220176583789300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.816709847296818 " " Order of pole = 2.190192642107249 " " x[1] = 0.9000000000000007 " " y[1] (analytic) = 2.3598304299661295 " " y[1] (numeric) = 2.3598304299661317 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.40934577779041100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8172084448495265 " " Order of pole = 2.1901932847298085 " " x[1] = 0.9010000000000007 " " y[1] (analytic) = 2.3605469711787714 " " y[1] (numeric) = 2.360546971178774 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12877874985465920000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8177072760011082 " " Order of pole = 2.1901911121317426 " " x[1] = 0.9020000000000007 " " y[1] (analytic) = 2.3612639986115256 " " y[1] (numeric) = 2.3612639986115282 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12843598202792240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8182063405064661 " " Order of pole = 2.190186126131426 " " x[1] = 0.9030000000000007 " " y[1] (analytic) = 2.3619815115676257 " " y[1] (numeric) = 2.3619815115676284 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12809319042126960000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8187056382195328 " " Order of pole = 2.1901783300637447 " " x[1] = 0.9040000000000007 " " y[1] (analytic) = 2.3626995093508327 " " y[1] (numeric) = 2.362699509350835 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.39791979666680200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8192051690930444 " " Order of pole = 2.190167728775606 " " x[1] = 0.9050000000000007 " " y[1] (analytic) = 2.3634179912654365 " " y[1] (numeric) = 2.3634179912654387 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.39506281773469800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8197049331780069 " " Order of pole = 2.190154328616689 " " x[1] = 0.9060000000000007 " " y[1] (analytic) = 2.364136956616258 " " y[1] (numeric) = 2.36413695661626 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.39220565473665700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8202049306233472 " " Order of pole = 2.1901381374332978 " " x[1] = 0.9070000000000007 " " y[1] (analytic) = 2.364856404708649 " " y[1] (numeric) = 2.364856404708651 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.38934831235079900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.82070516167534 " " Order of pole = 2.1901191645584035 " " x[1] = 0.9080000000000007 " " y[1] (analytic) = 2.365576334848494 " " y[1] (numeric) = 2.3655763348484964 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.38649079524429700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8212056266770293 " " Order of pole = 2.1900974208018944 " " x[1] = 0.9090000000000007 " " y[1] (analytic) = 2.366296746342212 " " y[1] (numeric) = 2.3662967463422144 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.38363310807339400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8217063260676922 " " Order of pole = 2.1900729184414054 " " x[1] = 0.9100000000000007 " " y[1] (analytic) = 2.367017638496757 " " y[1] (numeric) = 2.367017638496759 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.380775255483400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8222072603820352 " " Order of pole = 2.190045671208992 " " x[1] = 0.9110000000000007 " " y[1] (analytic) = 2.3677390106196183 " " y[1] (numeric) = 2.367739010619621 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1253500690530449000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.822708430249576 " " Order of pole = 2.1900156942807065 " " x[1] = 0.9120000000000007 " " y[1] (analytic) = 2.368460862018825 " " y[1] (numeric) = 2.3684608620188277 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12500708870873350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.823209836393843 " " Order of pole = 2.189983004263457 " " x[1] = 0.9130000000000007 " " y[1] (analytic) = 2.3691831920029434 " " y[1] (numeric) = 2.369183192002946 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12466409017858070000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8237114796315272 " " Order of pole = 2.189947619180966 " " x[1] = 0.9140000000000007 " " y[1] (analytic) = 2.36990599988108 " " y[1] (numeric) = 2.3699059998810825 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12432107401478380000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.824213360871619 " " Order of pole = 2.1899095584597106 " " x[1] = 0.9150000000000007 " " y[1] (analytic) = 2.370629284962883 " " y[1] (numeric) = 2.370629284962886 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12397804076823190000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8247154811144985 " " Order of pole = 2.189868842914077 " " x[1] = 0.9160000000000007 " " y[1] (analytic) = 2.371353046558544 " " y[1] (numeric) = 2.3713530465585464 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.36362492490421600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8252178414509501 " " Order of pole = 2.189825494730247 " " x[1] = 0.9170000000000007 " " y[1] (analytic) = 2.3720772839787965 " " y[1] (numeric) = 2.3720772839787987 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.36076604353233700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8257204430611484 " " Order of pole = 2.189779537449926 " " x[1] = 0.9180000000000007 " " y[1] (analytic) = 2.3728019965349194 " " y[1] (numeric) = 2.3728019965349216 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.35790703351102800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8262232872135766 " " Order of pole = 2.189730995952825 " " x[1] = 0.9190000000000007 " " y[1] (analytic) = 2.3735271835387386 " " y[1] (numeric) = 2.3735271835387404 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.48403831950997600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8267263752639373 " " Order of pole = 2.189679896439113 " " x[1] = 0.9200000000000007 " " y[1] (analytic) = 2.3742528443026254 " " y[1] (numeric) = 2.3742528443026276 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.35218864569797300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8272297086540061 " " Order of pole = 2.189626266411043 " " x[1] = 0.9210000000000007 " " y[1] (analytic) = 2.3749789781395014 " " y[1] (numeric) = 2.3749789781395036 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.34932927696797700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.827733288910394 " " Order of pole = 2.1895701346531986 " " x[1] = 0.9220000000000007 " " y[1] (analytic) = 2.3757055843628367 " " y[1] (numeric) = 2.375705584362839 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.34646979771205800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8282371176433594 " " Order of pole = 2.189511531213384 " " x[1] = 0.9230000000000007 " " y[1] (analytic) = 2.376432662286652 " " y[1] (numeric) = 2.376432662286654 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.4748881699471490000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8287411965454328 " " Order of pole = 2.1894504873808955 " " x[1] = 0.9240000000000007 " " y[1] (analytic) = 2.3771602112255197 " " y[1] (numeric) = 2.3771602112255215 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.47260042050118500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8292455273901984 " " Order of pole = 2.189387035667025 " " x[1] = 0.9250000000000007 " " y[1] (analytic) = 2.377888230494565 " " y[1] (numeric) = 2.3778882304945674 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.33789074177171600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8297501120308932 " " Order of pole = 2.1893212097828645 " " x[1] = 0.9260000000000007 " " y[1] (analytic) = 2.378616719409469 " " y[1] (numeric) = 2.3786167194094707 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.46802469227266100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8302549523989593 " " Order of pole = 2.189253044616432 " " x[1] = 0.9270000000000007 " " y[1] (analytic) = 2.379345677286465 " " y[1] (numeric) = 2.3793456772864667 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.46573672063533100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8307600505026635 " " Order of pole = 2.189182576210783 " " x[1] = 0.9280000000000007 " " y[1] (analytic) = 2.3800751034423446 " " y[1] (numeric) = 2.3800751034423464 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.46344868206500700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.831265408425571 " " Order of pole = 2.189109841739974 " " x[1] = 0.9290000000000007 " " y[1] (analytic) = 2.3808049971944563 " " y[1] (numeric) = 2.380804997194458 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.46116058011265900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8317710283250779 " " Order of pole = 2.1890348794859484 " " x[1] = 0.9300000000000007 " " y[1] (analytic) = 2.3815353578607072 " " y[1] (numeric) = 2.381535357860709 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.45887241832059800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8322769124308178 " " Order of pole = 2.1889577288134383 " " x[1] = 0.9310000000000007 " " y[1] (analytic) = 2.3822661847595636 " " y[1] (numeric) = 2.3822661847595654 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.45658420022250200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.832783063043136 " " Order of pole = 2.1888784301460724 " " x[1] = 0.9320000000000007 " " y[1] (analytic) = 2.3829974772100533 " " y[1] (numeric) = 2.382997477210055 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.45429592934340500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8332894825314108 " " Order of pole = 2.188797024939987 " " x[1] = 0.9330000000000007 " " y[1] (analytic) = 2.383729234531765 " " y[1] (numeric) = 2.3837292345317667 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.45200760919970700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8337961733324508 " " Order of pole = 2.1887135556587687 " " x[1] = 0.9340000000000007 " " y[1] (analytic) = 2.3844614560448507 " " y[1] (numeric) = 2.3844614560448525 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.44971924329917900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8343031379488193 " " Order of pole = 2.1886280657472597 " " x[1] = 0.9350000000000007 " " y[1] (analytic) = 2.385194141070026 " " y[1] (numeric) = 2.385194141070028 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.44743083514097500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8348103789471029 " " Order of pole = 2.1885405996045257 " " x[1] = 0.9360000000000007 " " y[1] (analytic) = 2.3859272889285723 " " y[1] (numeric) = 2.385927288928574 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.44514238821562500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8353178989562184 " " Order of pole = 2.188451202557445 " " x[1] = 0.9370000000000007 " " y[1] (analytic) = 2.386660898942336 " " y[1] (numeric) = 2.386660898942338 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.44285390600505600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8358257006656236 " " Order of pole = 2.188359920832834 " " x[1] = 0.9380000000000007 " " y[1] (analytic) = 2.3873949704337316 " " y[1] (numeric) = 2.387394970433733 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.58042404398693700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.836333786823536 " " Order of pole = 2.188266801529771 " " x[1] = 0.9390000000000007 " " y[1] (analytic) = 2.3881295027257403 " " y[1] (numeric) = 2.3881295027257416 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.57870763720969600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8368421602351643 " " Order of pole = 2.188171892592127 " " x[1] = 0.9400000000000007 " " y[1] (analytic) = 2.388864495141914 " " y[1] (numeric) = 2.3888644951419153 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.576991211764158000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8373508237608096 " " Order of pole = 2.1880752427790497 " " x[1] = 0.9410000000000007 " " y[1] (analytic) = 2.3895999470063742 " " y[1] (numeric) = 2.3895999470063756 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.57527477023598200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8378597803140855 " " Order of pole = 2.1879769016374375 " " x[1] = 0.9420000000000007 " " y[1] (analytic) = 2.3903358576438136 " " y[1] (numeric) = 2.390335857643815 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.57355831520438300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8383690328599918 " " Order of pole = 2.187876919472128 " " x[1] = 0.9430000000000007 " " y[1] (analytic) = 2.3910722263794972 " " y[1] (numeric) = 2.3910722263794986 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.57184184924214800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8388785844130593 " " Order of pole = 2.1877753473171424 " " x[1] = 0.9440000000000007 " " y[1] (analytic) = 2.391809052539263 " " y[1] (numeric) = 2.3918090525392643 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.570125374915638000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8393884380353949 " " Order of pole = 2.1876722369055592 " " x[1] = 0.9450000000000007 " " y[1] (analytic) = 2.392546335449524 " " y[1] (numeric) = 2.3925463354495253 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.56840889478478800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8398985968348052 " " Order of pole = 2.1875676406405233 " " x[1] = 0.9460000000000007 " " y[1] (analytic) = 2.393284074437268 " " y[1] (numeric) = 2.3932840744372688 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.711128274268746000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8404090639628208 " " Order of pole = 2.18746161156486 " " x[1] = 0.9470000000000007 " " y[1] (analytic) = 2.3940222688300583 " " y[1] (numeric) = 2.394022268830059 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.709983951545161600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8409198426127513 " " Order of pole = 2.1873542033310116 " " x[1] = 0.9480000000000007 " " y[1] (analytic) = 2.3947609179560367 " " y[1] (numeric) = 2.3947609179560376 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.708839630046237000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.841430936017722 " " Order of pole = 2.187245470171014 " " x[1] = 0.9490000000000007 " " y[1] (analytic) = 2.3955000211439232 " " y[1] (numeric) = 2.395500021143924 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.70769531146150200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8419423474486516 " " Order of pole = 2.1871354668652607 " " x[1] = 0.9500000000000007 " " y[1] (analytic) = 2.3962395777230157 " " y[1] (numeric) = 2.396239577723017 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.55982649621433800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8424540802123268 " " Order of pole = 2.187024248713076 " " x[1] = 0.9510000000000007 " " y[1] (analytic) = 2.396979587023194 " " y[1] (numeric) = 2.3969795870231954 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.55811003465711300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.842966137649319 " " Order of pole = 2.1869118715007225 " " x[1] = 0.9520000000000007 " " y[1] (analytic) = 2.397720048374918 " " y[1] (numeric) = 2.3977200483749193 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.556393585035698000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8434785231320532 " " Order of pole = 2.1867983914718216 " " x[1] = 0.9530000000000007 " " y[1] (analytic) = 2.3984609611092296 " " y[1] (numeric) = 2.398460961109231 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.55467714985882800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8439912400627423 " " Order of pole = 2.1866838652957803 " " x[1] = 0.9540000000000007 " " y[1] (analytic) = 2.3992023245577547 " " y[1] (numeric) = 2.3992023245577556 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.70197382108590300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8445042918713432 " " Order of pole = 2.1865683500365236 " " x[1] = 0.9550000000000007 " " y[1] (analytic) = 2.3999441380527013 " " y[1] (numeric) = 2.3999441380527027 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.55124433284176700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8450176820135868 " " Order of pole = 2.1864519031224283 " " x[1] = 0.9560000000000007 " " y[1] (analytic) = 2.400686400926865 " " y[1] (numeric) = 2.4006864009268662 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.549527955987178000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8455314139688923 " " Order of pole = 2.1863345823145153 " " x[1] = 0.9570000000000007 " " y[1] (analytic) = 2.4014291125136253 " " y[1] (numeric) = 2.4014291125136262 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.69854106903222500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8460454912383601 " " Order of pole = 2.186216445675864 " " x[1] = 0.9580000000000007 " " y[1] (analytic) = 2.402172272146949 " " y[1] (numeric) = 2.40217227214695 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.6973968520014300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8465599173427387 " " Order of pole = 2.1860975515406587 " " x[1] = 0.9590000000000007 " " y[1] (analytic) = 2.4029158791613905 " " y[1] (numeric) = 2.402915879161392 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.54437898181914100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8470746958203208 " " Order of pole = 2.185977958482166 " " x[1] = 0.9600000000000007 " " y[1] (analytic) = 2.4036599328920936 " " y[1] (numeric) = 2.4036599328920945 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.695108478309014300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8475898302250449 " " Order of pole = 2.185857725283906 " " x[1] = 0.9610000000000007 " " y[1] (analytic) = 2.40440443267479 " " y[1] (numeric) = 2.404404432674791 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.69396432492876100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8481053241242844 " " Order of pole = 2.1857369109062077 " " x[1] = 0.9620000000000007 " " y[1] (analytic) = 2.405149377845804 " " y[1] (numeric) = 2.405149377845805 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.69282019603967800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8486211810969853 " " Order of pole = 2.185615574457742 " " x[1] = 0.9630000000000007 " " y[1] (analytic) = 2.4058947677420495 " " y[1] (numeric) = 2.4058947677420504 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.69167609327189100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8491374047315194 " " Order of pole = 2.185493775163213 " " x[1] = 0.9640000000000007 " " y[1] (analytic) = 2.406640601701033 " " y[1] (numeric) = 2.4066406017010338 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.69053201825130700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.849653998623701 " " Order of pole = 2.1853715723332527 " " x[1] = 0.9650000000000007 " " y[1] (analytic) = 2.4073868790608546 " " y[1] (numeric) = 2.4073868790608555 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.6893879725996200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8501709663747787 " " Order of pole = 2.1852490253340946 " " x[1] = 0.9660000000000007 " " y[1] (analytic) = 2.408133599160208 " " y[1] (numeric) = 2.408133599160209 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.688243957934314600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8506883115894597 " " Order of pole = 2.1851261935576503 " " x[1] = 0.9670000000000007 " " y[1] (analytic) = 2.408880761338382 " " y[1] (numeric) = 2.408880761338383 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.6870999758686700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8512060378737993 " " Order of pole = 2.1850031363898523 " " x[1] = 0.9680000000000007 " " y[1] (analytic) = 2.409628364935261 " " y[1] (numeric) = 2.4096283649352617 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.685956028011762600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8517241488333653 " " Order of pole = 2.1848799131827654 " " x[1] = 0.9690000000000007 " " y[1] (analytic) = 2.410376409291325 " " y[1] (numeric) = 2.410376409291326 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.68481211596847100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8522426480711136 " " Order of pole = 2.1847565832228 " " x[1] = 0.9700000000000008 " " y[1] (analytic) = 2.4111248937476533 " " y[1] (numeric) = 2.411124893747654 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.68366824133947700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8527615391855101 " " Order of pole = 2.184633205702333 " " x[1] = 0.9710000000000008 " " y[1] (analytic) = 2.4118738176459225 " " y[1] (numeric) = 2.411873817645923 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.841262202860637400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8532808257685618 " " Order of pole = 2.184509839690179 " " x[1] = 0.9720000000000008 " " y[1] (analytic) = 2.4126231803284077 " " y[1] (numeric) = 2.412623180328408 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.840690305353084000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8538005114038378 " " Order of pole = 2.18438654410188 " " x[1] = 0.9730000000000008 " " y[1] (analytic) = 2.413372981137985 " " y[1] (numeric) = 2.4133729811379854 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.840118428941140700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.854320599664568 " " Order of pole = 2.1842633776712077 " " x[1] = 0.9740000000000008 " " y[1] (analytic) = 2.4141232194181304 " " y[1] (numeric) = 2.414123219418131 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.839546574416778300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8548410941117381 " " Order of pole = 2.184140398921617 " " x[1] = 0.9750000000000008 " " y[1] (analytic) = 2.4148738945129224 " " y[1] (numeric) = 2.414873894512923 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.838974742569880200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8553619982921739 " " Order of pole = 2.1840176661375708 " " x[1] = 0.9760000000000008 " " y[1] (analytic) = 2.4156250057670414 " " y[1] (numeric) = 2.415625005767042 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.838402934188245200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.855883315736669 " " Order of pole = 2.183895237336632 " " x[1] = 0.9770000000000008 " " y[1] (analytic) = 2.416376552525771 " " y[1] (numeric) = 2.4163765525257714 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.837831150057587500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.856405049958136 " " Order of pole = 2.183773170241743 " " x[1] = 0.9780000000000008 " " y[1] (analytic) = 2.4171285341349984 " " y[1] (numeric) = 2.4171285341349993 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.67451878192307900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8569272044497447 " " Order of pole = 2.1836515222535624 " " x[1] = 0.9790000000000008 " " y[1] (analytic) = 2.417880949941217 " " y[1] (numeric) = 2.417880949941218 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.673375315363307500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8574497826831 " " Order of pole = 2.183530350423297 " " x[1] = 0.9800000000000008 " " y[1] (analytic) = 2.4186337992915248 " " y[1] (numeric) = 2.418633799291525 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.836115950997405700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.85797278810644 " " Order of pole = 2.1834097114258633 " " x[1] = 0.9810000000000008 " " y[1] (analytic) = 2.4193870815336256 " " y[1] (numeric) = 2.419387081533626 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.835544271686194400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8584962241428857 " " Order of pole = 2.1832896615339266 " " x[1] = 0.9820000000000008 " " y[1] (analytic) = 2.420140796015832 " " y[1] (numeric) = 2.4201407960158323 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.834972620523345500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.859020094188622 " " Order of pole = 2.1831702565908593 " " x[1] = 0.9830000000000008 " " y[1] (analytic) = 2.420894942087063 " " y[1] (numeric) = 2.4208949420870636 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.83440099828211300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8595444016112375 " " Order of pole = 2.183051551986132 " " x[1] = 0.9840000000000008 " " y[1] (analytic) = 2.4216495190968477 " " y[1] (numeric) = 2.4216495190968486 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.667658811467361400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8600691497479205 " " Order of pole = 2.182933602628612 " " x[1] = 0.9850000000000008 " " y[1] (analytic) = 2.4224045263953244 " " y[1] (numeric) = 2.422404526395325 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.833257843647165800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.860594341903849 " " Order of pole = 2.1828164629227658 " " x[1] = 0.9860000000000008 " " y[1] (analytic) = 2.4231599633332404 " " y[1] (numeric) = 2.423159963333241 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.832686312789619800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8611199813504513 " " Order of pole = 2.1827001867429523 " " x[1] = 0.9870000000000008 " " y[1] (analytic) = 2.423915829261955 " " y[1] (numeric) = 2.423915829261956 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.66422962785206100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8616460713238732 " " Order of pole = 2.182584827410775 " " x[1] = 0.9880000000000008 " " y[1] (analytic) = 2.4246721235334405 " " y[1] (numeric) = 2.424672123533441 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.831543347819323800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8621726150232356 " " Order of pole = 2.1824704376694974 " " x[1] = 0.9890000000000008 " " y[1] (analytic) = 2.425428845500279 " " y[1] (numeric) = 2.4254288455002797 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.66194383046073600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8626996156091875 " " Order of pole = 2.1823570696626255 " " x[1] = 0.9900000000000008 " " y[1] (analytic) = 2.426185994515668 " " y[1] (numeric) = 2.4261859945156687 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.66080103383594700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8632270762021588 " " Order of pole = 2.1822447749084297 " " x[1] = 0.9910000000000008 " " y[1] (analytic) = 2.4269435699334183 " " y[1] (numeric) = 2.4269435699334188 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.829829153638895500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8637549998810736 " " Order of pole = 2.182133604280832 " " x[1] = 0.9920000000000008 " " y[1] (analytic) = 2.4277015711079546 " " y[1] (numeric) = 2.4277015711079555 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.658515652295674700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8642833896815996 " " Order of pole = 2.1820236079839503 " " x[1] = 0.9930000000000008 " " y[1] (analytic) = 2.4284599973943184 " " y[1] (numeric) = 2.4284599973943193 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.657373070394901400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.864812248594857 " " Order of pole = 2.181914835533128 " " x[1] = 0.9940000000000008 " " y[1] (analytic) = 2.429218848148167 " " y[1] (numeric) = 2.429218848148168 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.656230563076678400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.865341579565904 " " Order of pole = 2.1818073357328274 " " x[1] = 0.9950000000000008 " " y[1] (analytic) = 2.4299781227257733 " " y[1] (numeric) = 2.429978122725774 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.65508813183812200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8658713854922915 " " Order of pole = 2.181701156655496 " " x[1] = 0.9960000000000008 " " y[1] (analytic) = 2.4307378204840293 " " y[1] (numeric) = 2.43073782048403 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.65394577817225730000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8664016692227263 " " Order of pole = 2.181596345622239 " " x[1] = 0.9970000000000008 " " y[1] (analytic) = 2.4314979407804445 " " y[1] (numeric) = 2.4314979407804453 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.65280350356802800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8669324335557345 " " Order of pole = 2.181492949183152 " " x[1] = 0.9980000000000008 " " y[1] (analytic) = 2.432258482973147 " " y[1] (numeric) = 2.432258482973148 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.477491964265447000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8674636812382073 " " Order of pole = 2.18139101309675 " " x[1] = 0.9990000000000008 " " y[1] (analytic) = 2.4330194464208854 " " y[1] (numeric) = 2.4330194464208863 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.65051919747985500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8679954149643778 " " Order of pole = 2.181290582314247 " " x[1] = 1.0000000000000007 " " y[1] (analytic) = 2.4337808304830277 " " y[1] (numeric) = 2.4337808304830286 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.649377168953419000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8685276373742223 " " Order of pole = 2.18119170095731 " " x[1] = 1.0010000000000006 " " y[1] (analytic) = 2.4345426345195635 " " y[1] (numeric) = 2.4345426345195644 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.6482352254036404000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.869060351052504 " " Order of pole = 2.181094412303775 " " x[1] = 1.0020000000000004 " " y[1] (analytic) = 2.4353048578911034 " " y[1] (numeric) = 2.4353048578911047 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.47064005244866600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8695935585274635 " " Order of pole = 2.1809987587690465 " " x[1] = 1.0030000000000003 " " y[1] (analytic) = 2.4360674999588814 " " y[1] (numeric) = 2.4360674999588827 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46892739865654500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8701272622696685 " " Order of pole = 2.1809047818893426 " " x[1] = 1.0040000000000002 " " y[1] (analytic) = 2.436830560084753 " " y[1] (numeric) = 2.4368305600847546 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.2896198385597600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8706614646908999 " " Order of pole = 2.1808125223058674 " " x[1] = 1.0050000000000001 " " y[1] (analytic) = 2.4375940376311984 " " y[1] (numeric) = 2.4375940376311998 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.465502495423139000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8711961681430678 " " Order of pole = 2.180722019749247 " " x[1] = 1.006 " " y[1] (analytic) = 2.4383579319613213 " " y[1] (numeric) = 2.4383579319613227 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.46379025034508700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.87173137491709 " " Order of pole = 2.180633313023563 " " x[1] = 1.007 " " y[1] (analytic) = 2.4391222424388506 " " y[1] (numeric) = 2.4391222424388523 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.28277086114425900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.872267087241979 " " Order of pole = 2.1805464399933143 " " x[1] = 1.0079999999999998 " " y[1] (analytic) = 2.4398869684281412 " " y[1] (numeric) = 2.439886968428143 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.28048824550524200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8728033072837205 " " Order of pole = 2.1804614375674767 " " x[1] = 1.0089999999999997 " " y[1] (analytic) = 2.4406521092941738 " " y[1] (numeric) = 2.4406521092941755 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.27820582309031100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8733400371444209 " " Order of pole = 2.180378341687515 " " x[1] = 1.0099999999999996 " " y[1] (analytic) = 2.4414176644025547 " " y[1] (numeric) = 2.441417664402557 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.09490449596498600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.87387727886138 " " Order of pole = 2.1802971873142347 " " x[1] = 1.0109999999999995 " " y[1] (analytic) = 2.44218363311952 " " y[1] (numeric) = 2.442183633119522 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.0920519617684490000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8744150344061004 " " Order of pole = 2.1802180084138456 " " x[1] = 1.0119999999999993 " " y[1] (analytic) = 2.442950014811931 " " y[1] (numeric) = 2.4429500148119336 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0907039615812619000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8749533056835446 " " Order of pole = 2.180140837947519 " " x[1] = 1.0129999999999992 " " y[1] (analytic) = 2.4437168088472805 " " y[1] (numeric) = 2.443716808847283 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09036171845020650000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8754920945312474 " " Order of pole = 2.180065707859047 " " x[1] = 1.0139999999999991 " " y[1] (analytic) = 2.444484014593688 " " y[1] (numeric) = 2.444484014593691 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.09001950644511110000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.876031402718659 " " Order of pole = 2.179992649065717 " " x[1] = 1.014999999999999 " " y[1] (analytic) = 2.4452516314199046 " " y[1] (numeric) = 2.4452516314199073 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0896773259908380000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8765712319461734 " " Order of pole = 2.1799216914447186 " " x[1] = 1.015999999999999 " " y[1] (analytic) = 2.446019658695311 " " y[1] (numeric) = 2.4460196586953136 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.08933517751105050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8771115838446548 " " Order of pole = 2.179852863826781 " " x[1] = 1.0169999999999988 " " y[1] (analytic) = 2.4467880957899184 " " y[1] (numeric) = 2.446788095789921 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.0889930614282149000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.877652459974618 " " Order of pole = 2.1797861939848 " " x[1] = 1.0179999999999987 " " y[1] (analytic) = 2.44755694207437 " " y[1] (numeric) = 2.4475569420743732 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.27009280785753500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8781938618256648 " " Order of pole = 2.1797217086262606 " " x[1] = 1.0189999999999986 " " y[1] (analytic) = 2.4483261969199424 " " y[1] (numeric) = 2.4483261969199455 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.2696937494934982000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8787357908157807 " " Order of pole = 2.179659433383531 " " x[1] = 1.0199999999999985 " " y[1] (analytic) = 2.449095859698543 " " y[1] (numeric) = 2.449095859698546 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.269294730396170200000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8792782482909212 " " Order of pole = 2.1795993928085267 " " x[1] = 1.0209999999999984 " " y[1] (analytic) = 2.4498659297827126 " " y[1] (numeric) = 2.449865929782716 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.45016657263183550000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8798212355243116 " " Order of pole = 2.1795416103631347 " " x[1] = 1.0219999999999982 " " y[1] (analytic) = 2.4506364065456276 " " y[1] (numeric) = 2.450636406545631 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.44971064222796800000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8803647537160288 " " Order of pole = 2.17948610841378 " " x[1] = 1.0229999999999981 " " y[1] (analytic) = 2.4514072893610974 " " y[1] (numeric) = 2.451407289361101 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.44925475836633980000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8809088039926356 " " Order of pole = 2.1794329082267403 " " x[1] = 1.023999999999998 " " y[1] (analytic) = 2.4521785776035663 " " y[1] (numeric) = 2.45217857760357 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4487989215991160000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8814533874065935 " " Order of pole = 2.1793820299603865 " " x[1] = 1.024999999999998 " " y[1] (analytic) = 2.4529502706481146 " " y[1] (numeric) = 2.452950270648118 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.448343132476880000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8819985049359225 " " Order of pole = 2.179333492660813 " " x[1] = 1.0259999999999978 " " y[1] (analytic) = 2.4537223678704585 " " y[1] (numeric) = 2.453722367870462 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4478873915486360000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.882544157483875 " " Order of pole = 2.1792873142578664 " " x[1] = 1.0269999999999977 " " y[1] (analytic) = 2.4544948686469503 " " y[1] (numeric) = 2.454494868646954 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.44743169936181100000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.883090345878636 " " Order of pole = 2.1792435115615163 " " x[1] = 1.0279999999999976 " " y[1] (analytic) = 2.4552677723545804 " " y[1] (numeric) = 2.455267772354584 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4469760564622570000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8836370708729484 " " Order of pole = 2.179202100257129 " " x[1] = 1.0289999999999975 " " y[1] (analytic) = 2.456041078370975 " " y[1] (numeric) = 2.456041078370979 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.62733552131853340000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8841843331440193 " " Order of pole = 2.179163094904837 " " x[1] = 1.0299999999999974 " " y[1] (analytic) = 2.4568147860744007 " " y[1] (numeric) = 2.4568147860744047 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.62682303578806560000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8847321332930789 " " Order of pole = 2.1791265089339014 " " x[1] = 1.0309999999999973 " " y[1] (analytic) = 2.457588894843761 " " y[1] (numeric) = 2.457588894843765 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.62631060753741560000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8852804718454121 " " Order of pole = 2.1790923546439664 " " x[1] = 1.0319999999999971 " " y[1] (analytic) = 2.4583634040585993 " " y[1] (numeric) = 2.4583634040586038 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.80644248574844540000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8858293492500937 " " Order of pole = 2.179060643201929 " " x[1] = 1.032999999999997 " " y[1] (analytic) = 2.459138313099099 " " y[1] (numeric) = 2.459138313099103 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6252859253018760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.886378765879967 " " Order of pole = 2.1790313846424674 " " x[1] = 1.033999999999997 " " y[1] (analytic) = 2.459913621346082 " " y[1] (numeric) = 2.4599136213460864 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.80530408058415440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8869287220314377 " " Order of pole = 2.179004587865837 " " x[1] = 1.0349999999999968 " " y[1] (analytic) = 2.4606893281810125 " " y[1] (numeric) = 2.4606893281810174 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 1.9852084748795812000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8874792179245898 " " Order of pole = 2.1789802606403086 " " x[1] = 1.0359999999999967 " " y[1] (analytic) = 2.4614654329859955 " " y[1] (numeric) = 2.4614654329860004 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 1.98458253481331000000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.888030253702988 " " Order of pole = 2.178958409600174 " " x[1] = 1.0369999999999966 " " y[1] (analytic) = 2.462241935143777 " " y[1] (numeric) = 2.462241935143782 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 1.98395666917493270000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8885818294339285 " " Order of pole = 2.1789390402501745 " " x[1] = 1.0379999999999965 " " y[1] (analytic) = 2.463018834037746 " " y[1] (numeric) = 2.463018834037751 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 1.98333087869348640000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8891339451082774 " " Order of pole = 2.1789221569639956 " " x[1] = 1.0389999999999964 " " y[1] (analytic) = 2.463796129051933 " " y[1] (numeric) = 2.463796129051938 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 1.98270516409587260000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.889686600640724 " " Order of pole = 2.178907762988729 " " x[1] = 1.0399999999999963 " " y[1] (analytic) = 2.4645738195710116 " " y[1] (numeric) = 2.464573819571017 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.16226857393475830000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8902397958698771 " " Order of pole = 2.1788958604471595 " " x[1] = 1.0409999999999962 " " y[1] (analytic) = 2.4653519049803 " " y[1] (numeric) = 2.4653519049803054 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.16158614412628200000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8907935305581698 " " Order of pole = 2.1788864503372096 " " x[1] = 1.041999999999996 " " y[1] (analytic) = 2.4661303846657594 " " y[1] (numeric) = 2.4661303846657647 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.16090379946517420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8913478043926437 " " Order of pole = 2.1788795325441335 " " x[1] = 1.042999999999996 " " y[1] (analytic) = 2.4669092580139957 " " y[1] (numeric) = 2.466909258014001 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.16022154073513050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8919026169843305 " " Order of pole = 2.178875105832418 " " x[1] = 1.0439999999999958 " " y[1] (analytic) = 2.467688524412259 " " y[1] (numeric) = 2.4676885244122646 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3395009827773280000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8924579678695332 " " Order of pole = 2.1788731678651985 " " x[1] = 1.0449999999999957 " " y[1] (analytic) = 2.4684681832484454 " " y[1] (numeric) = 2.468468183248451 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3387620578740750000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8930138565088823 " " Order of pole = 2.1788737151914397 " " x[1] = 1.0459999999999956 " " y[1] (analytic) = 2.469248233911097 " " y[1] (numeric) = 2.469248233911103 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.33802322859479330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8935702822887683 " " Order of pole = 2.1788767432675975 " " x[1] = 1.0469999999999955 " " y[1] (analytic) = 2.470028675789401 " " y[1] (numeric) = 2.4700286757894068 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3372844957784790000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.89412724452119 " " Order of pole = 2.1788822464561193 " " x[1] = 1.0479999999999954 " " y[1] (analytic) = 2.4708095082731916 " " y[1] (numeric) = 2.4708095082731973 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3365458602616362000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8946847424442008 " " Order of pole = 2.1788902180329828 " " x[1] = 1.0489999999999953 " " y[1] (analytic) = 2.4715907307529505 " " y[1] (numeric) = 2.4715907307529563 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3358073228782770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8952427752218945 " " Order of pole = 2.178900650188215 " " x[1] = 1.0499999999999952 " " y[1] (analytic) = 2.472372342619806 " " y[1] (numeric) = 2.472372342619812 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5146895678799247000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8958013419457924 " " Order of pole = 2.1789135340468384 " " x[1] = 1.050999999999995 " " y[1] (analytic) = 2.4731543432655347 " " y[1] (numeric) = 2.473154343265541 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.51389443397684040000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8963604416349664 " " Order of pole = 2.17892885967154 " " x[1] = 1.051999999999995 " " y[1] (analytic) = 2.4739367320825614 " " y[1] (numeric) = 2.4739367320825676 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.51309940843442400000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8969200732343992 " " Order of pole = 2.178946616039866 " " x[1] = 1.0529999999999948 " " y[1] (analytic) = 2.4747195084639593 " " y[1] (numeric) = 2.4747195084639655 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.51230449214015330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8974802356203553 " " Order of pole = 2.178966791122658 " " x[1] = 1.0539999999999947 " " y[1] (analytic) = 2.4755026718034507 " " y[1] (numeric) = 2.475502671803457 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5115096859788450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8980409275957215 " " Order of pole = 2.1789893718176074 " " x[1] = 1.0549999999999946 " " y[1] (analytic) = 2.4762862214954073 " " y[1] (numeric) = 2.476286221495414 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.69005177589213300000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8986021478941444 " " Order of pole = 2.1790143440099072 " " x[1] = 1.0559999999999945 " " y[1] (analytic) = 2.477070156934851 " " y[1] (numeric) = 2.477070156934858 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.6892004366940250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8991638951785954 " " Order of pole = 2.17904169255236 " " x[1] = 1.0569999999999944 " " y[1] (analytic) = 2.477854477517454 " " y[1] (numeric) = 2.4778544775174605 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.68834921832249440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.8997261680432154 " " Order of pole = 2.179071401292937 " " x[1] = 1.0579999999999943 " " y[1] (analytic) = 2.478639182639537 " " y[1] (numeric) = 2.478639182639544 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.86666466316179760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.900288965013508 " " Order of pole = 2.1791034530783264 " " x[1] = 1.0589999999999942 " " y[1] (analytic) = 2.479424271698075 " " y[1] (numeric) = 2.479424271698082 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.8657569576564370000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.900852284546967 " " Order of pole = 2.1791378297639348 " " x[1] = 1.059999999999994 " " y[1] (analytic) = 2.480209744090691 " " y[1] (numeric) = 2.4802097440906987 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.0439024705222710000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9014161250338038 " " Order of pole = 2.179174512225188 " " x[1] = 1.060999999999994 " " y[1] (analytic) = 2.4809955992156625 " " y[1] (numeric) = 2.48099559921567 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.04293831469824250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.901980484798006 " " Order of pole = 2.17921348037369 " " x[1] = 1.0619999999999938 " " y[1] (analytic) = 2.4817818364719173 " " y[1] (numeric) = 2.481781836471925 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.0419743010865940000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9025453620976445 " " Order of pole = 2.1792547131624254 " " x[1] = 1.0629999999999937 " " y[1] (analytic) = 2.4825684552590355 " " y[1] (numeric) = 2.4825684552590435 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.21989339724654660000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9031107551260278 " " Order of pole = 2.179298188603326 " " x[1] = 1.0639999999999936 " " y[1] (analytic) = 2.483355454977251 " " y[1] (numeric) = 2.483355454977259 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.21887298142518760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.903676662012273 " " Order of pole = 2.1793438837762658 " " x[1] = 1.0649999999999935 " " y[1] (analytic) = 2.48414283502745 " " y[1] (numeric) = 2.484142835027458 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.2178527194925960000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9042430808222757 " " Order of pole = 2.1793917748438894 " " x[1] = 1.0659999999999934 " " y[1] (analytic) = 2.484930594811172 " " y[1] (numeric) = 2.4849305948111806 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.395545535464890000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9048100095596303 " " Order of pole = 2.1794418370657667 " " x[1] = 1.0669999999999933 " " y[1] (analytic) = 2.4857187337306117 " " y[1] (numeric) = 2.48571873373062 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.394468920660120000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9053774461663597 " " Order of pole = 2.179494044809598 " " x[1] = 1.0679999999999932 " " y[1] (analytic) = 2.4865072511886153 " " y[1] (numeric) = 2.486507251188624 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5719920755330710000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9059453885237727 " " Order of pole = 2.1795483715644544 " " x[1] = 1.068999999999993 " " y[1] (analytic) = 2.487296146588686 " " y[1] (numeric) = 2.4872961465886947 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5708591472642190000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9065138344536814 " " Order of pole = 2.179604789959093 " " x[1] = 1.069999999999993 " " y[1] (analytic) = 2.48808541933498 " " y[1] (numeric) = 2.488085419334989 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.56972639603956640000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9070827817191423 " " Order of pole = 2.1796632717734568 " " x[1] = 1.0709999999999928 " " y[1] (analytic) = 2.488875068832309 " " y[1] (numeric) = 2.488875068832318 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5685938230592940000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9076522280252903 " " Order of pole = 2.179723787951353 " " x[1] = 1.0719999999999927 " " y[1] (analytic) = 2.4896650944861403 " " y[1] (numeric) = 2.489665094486149 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.56746142951987140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.908222171020802 " " Order of pole = 2.179786308622443 " " x[1] = 1.0729999999999926 " " y[1] (analytic) = 2.490455495702597 " " y[1] (numeric) = 2.490455495702606 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.56632921661407140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.908792608298363 " " Order of pole = 2.179850803109666 " " x[1] = 1.0739999999999925 " " y[1] (analytic) = 2.491246271888458 " " y[1] (numeric) = 2.4912462718884667 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.56519718553097050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.909363537396006 " " Order of pole = 2.1799172399491695 " " x[1] = 1.0749999999999924 " " y[1] (analytic) = 2.4920374224511574 " " y[1] (numeric) = 2.4920374224511668 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.74226860432875300000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9099349557981096 " " Order of pole = 2.1799855869055733 " " x[1] = 1.0759999999999923 " " y[1] (analytic) = 2.492828946798788 " " y[1] (numeric) = 2.4928289467987974 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.74108035724926350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9105068609365523 " " Order of pole = 2.1800558109892485 " " x[1] = 1.0769999999999922 " " y[1] (analytic) = 2.493620844340098 " " y[1] (numeric) = 2.493620844340107 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.7398923048059770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9110792501914684 " " Order of pole = 2.1801278784678644 " " x[1] = 1.077999999999992 " " y[1] (analytic) = 2.4944131144844928 " " y[1] (numeric) = 2.4944131144845016 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.56067090307805870000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9116521208929051 " " Order of pole = 2.18020175489103 " " x[1] = 1.078999999999992 " " y[1] (analytic) = 2.495205756642035 " " y[1] (numeric) = 2.4952057566420445 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.7375167887564370000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9122254703213462 " " Order of pole = 2.180277405098437 " " x[1] = 1.0799999999999919 " " y[1] (analytic) = 2.495998770223446 " " y[1] (numeric) = 2.495998770223456 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.91424977177643130000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9127992957092255 " " Order of pole = 2.180354793242355 " " x[1] = 1.0809999999999917 " " y[1] (analytic) = 2.4967921546401044 " " y[1] (numeric) = 2.496792154640114 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.91300597390320250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9133735942421055 " " Order of pole = 2.1804338828052785 " " x[1] = 1.0819999999999916 " " y[1] (analytic) = 2.497585909304047 " " y[1] (numeric) = 2.497585909304057 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.91176238635322100000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.913948363059524 " " Order of pole = 2.180514636612731 " " x[1] = 1.0829999999999915 " " y[1] (analytic) = 2.498380033627969 " " y[1] (numeric) = 2.498380033627979 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0882698745071716000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9145235992565925 " " Order of pole = 2.1805970168568862 " " x[1] = 1.0839999999999914 " " y[1] (analytic) = 2.499174527025225 " " y[1] (numeric) = 2.499174527025235 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0869702040014216000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9150992998847993 " " Order of pole = 2.180680985108765 " " x[1] = 1.0849999999999913 " " y[1] (analytic) = 2.499969388909827 " " y[1] (numeric) = 2.4999693889098378 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.26330861637039760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9156754619535272 " " Order of pole = 2.1807665023406493 " " x[1] = 1.0859999999999912 " " y[1] (analytic) = 2.500764618696449 " " y[1] (numeric) = 2.5007646186964596 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2619529070101670000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9162520824312388 " " Order of pole = 2.1808535289437856 " " x[1] = 1.086999999999991 " " y[1] (analytic) = 2.5015602158004215 " " y[1] (numeric) = 2.5015602158004326 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.43812232706906800000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9168291582464947 " " Order of pole = 2.180942024743537 " " x[1] = 1.087999999999991 " " y[1] (analytic) = 2.502356179637737 " " y[1] (numeric) = 2.502356179637748 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.4367106236086745000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9174066862892662 " " Order of pole = 2.181031949018813 " " x[1] = 1.0889999999999909 " " y[1] (analytic) = 2.503152509625047 " " y[1] (numeric) = 2.5031525096250578 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2578872024054220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.917984663412677 " " Order of pole = 2.1811232605277944 " " x[1] = 1.0899999999999908 " " y[1] (analytic) = 2.5039492051796626 " " y[1] (numeric) = 2.5039492051796737 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.43388796517338370000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9185630864334984 " " Order of pole = 2.1812159175154093 " " x[1] = 1.0909999999999906 " " y[1] (analytic) = 2.504746265719557 " " y[1] (numeric) = 2.504746265719568 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.43247701302077630000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9191419521339848 " " Order of pole = 2.181309877740368 " " x[1] = 1.0919999999999905 " " y[1] (analytic) = 2.5055436906633624 " " y[1] (numeric) = 2.5055436906633735 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.4310663141188980000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9197212572630469 " " Order of pole = 2.181405098492469 " " x[1] = 1.0929999999999904 " " y[1] (analytic) = 2.5063414794303727 " " y[1] (numeric) = 2.506341479430384 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.6068421046623740000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9203009985373531 " " Order of pole = 2.1815015366089234 " " x[1] = 1.0939999999999903 " " y[1] (analytic) = 2.507139631440543 " " y[1] (numeric) = 2.5071396314405545 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.6053755089290290000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9208811726431718 " " Order of pole = 2.181599148501334 " " x[1] = 1.0949999999999902 " " y[1] (analytic) = 2.5079381461144896 " " y[1] (numeric) = 2.5079381461145007 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.42683575089444700000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.921461776237068 " " Order of pole = 2.181697890166131 " " x[1] = 1.09599999999999 " " y[1] (analytic) = 2.5087370228734893 " " y[1] (numeric) = 2.508737022873501 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.6024431221079350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9220428059473975 " " Order of pole = 2.181797717206468 " " x[1] = 1.09699999999999 " " y[1] (analytic) = 2.5095362611394822 " " y[1] (numeric) = 2.509536261139494 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.600977333899489700000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.922624258376072 " " Order of pole = 2.1818985848580503 " " x[1] = 1.0979999999999899 " " y[1] (analytic) = 2.5103358603350694 " " y[1] (numeric) = 2.510335860335081 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5995118177375965000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.923206130099445 " " Order of pole = 2.1820004480022206 " " x[1] = 1.0989999999999898 " " y[1] (analytic) = 2.5111358198835143 " " y[1] (numeric) = 2.511135819883526 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5980465750503430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.9237884176697422 " " Order of pole = 2.1821032611869136 " " x[1] = 1.0999999999999897 " " y[1] (analytic) = 2.5119361392087423 " " y[1] (numeric) = 2.511936139208754 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5965816072612060000000000000E-13 "%" h = 1.000E-3 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 1 ) = tanh ( x ) ;" Iterations = 1000 "Total Elapsed Time "= 14 Minutes 12 Seconds "Elapsed Time(since restart) "= 14 Minutes 11 Seconds "Expected Time Remaining "= 2 Hours 6 Minutes 22 Seconds "Optimized Time Remaining "= 2 Hours 6 Minutes 10 Seconds "Time to Timeout "= 47 Seconds Percent Done = 10.111111111111004 "%" (%o49) true (%o49) diffeq.max