(%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 : array_y + array_const_0D0 , 1 1 1 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 2 2 2 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 3 3 3 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 4 4 4 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 5 5 5 array_tmp2 : array_tmp1 - array_const_1D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk array_y + array_const_0D0 , array_tmp2 : kkk kkk kkk array_tmp1 - array_const_1D0 , order_d : 1, 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 : array_y + array_const_0D0 , 1 1 1 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 2 2 2 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 3 3 3 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 4 4 4 array_tmp2 : array_tmp1 - array_const_1D0 , 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 : array_y + array_const_0D0 , 5 5 5 array_tmp2 : array_tmp1 - array_const_1D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk array_y + array_const_0D0 , array_tmp2 : kkk kkk kkk array_tmp1 - array_const_1D0 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%o31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) mode_declare(factorial_1, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o39) [factorial_1] (%i40) factorial_1(nnn) := nnn! (%o40) factorial_1(nnn) := nnn! (%i41) mode_declare(factorial_3, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o41) [factorial_3] mmm2! (%i42) factorial_3(mmm2, nnn2) := ----- nnn2! mmm2! (%o42) factorial_3(mmm2, nnn2) := ----- nnn2! (%i43) convfp(mmm) := mmm (%o43) convfp(mmm) := mmm (%i44) convfloat(mmm) := mmm (%o44) convfloat(mmm) := mmm (%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i46) arcsin(x) := asin(x) (%o46) arcsin(x) := asin(x) (%i47) arccos(x) := acos(x) (%o47) arccos(x) := acos(x) (%i48) arctan(x) := atan(x) (%o48) arctan(x) := atan(x) (%i49) exact_soln_y(x) := exp(x) + 1.0 (%o49) exact_soln_y(x) := exp(x) + 1.0 (%i50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_dump_analytic, false, boolean), define_variable(days_in_year, 365.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_dump, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(years_in_century, 100.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_warned, false, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_optimal_done, false, boolean), define_variable(hours_in_day, 24.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(sec_in_min, 60.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_percent_done, 0.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/diff0postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = y - 1.0;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 1.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.01 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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, "1.0 + exp(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_m1, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_type_pole : 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_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 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_norms : 0.0, term : 1 + term), ord : 1, term while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, 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, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_1D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term), term array_const_1D0 : 1.0, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 1.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 0.01, 1 + 0 glob_look_poles : true, glob_max_iter : 100, 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, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = y - 1.0;"), 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, "2012-06-15T19:42:29-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff0"), logitem_str(html_log_file, "diff ( y , x , 1 ) = y - 1.0;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "diff0 diffeq.max"), logitem_str(html_log_file, "diff0 maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_dump_analytic, false, boolean), define_variable(days_in_year, 365.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_dump, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(years_in_century, 100.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_warned, false, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_optimal_done, false, boolean), define_variable(hours_in_day, 24.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(sec_in_min, 60.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_percent_done, 0.0, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/diff0postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = y - 1.0;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 1.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.01 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), 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, "1.0 + exp(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_m1, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_type_pole : 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_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 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_norms : 0.0, term : 1 + term), ord : 1, term while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, 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, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_1D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term), term array_const_1D0 : 1.0, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 1.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 0.01, 1 + 0 glob_look_poles : true, glob_max_iter : 100, 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, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = y - 1.0;"), 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, "2012-06-15T19:42:29-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff0"), logitem_str(html_log_file, "diff ( y , x , 1 ) = y - 1.0;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "diff0 diffeq.max"), logitem_str(html_log_file, "diff0 maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i51) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/diff0postode.ode#################" "diff ( y , x , 1 ) = y - 1.0;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 1.1," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.01 ," "glob_look_poles : true," "glob_max_iter : 100," "/* 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) := (" "1.0 + exp(x) " ");" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 1.1 " " y[1] (analytic) = 4.004166023946434 " " y[1] (numeric) = 4.004166023946434 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.101 " " y[1] (analytic) = 4.007171692554211 " " y[1] (numeric) = 4.007171692554212 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 2.216472085162868300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1019999999999999 " " y[1] (analytic) = 4.010180368333932 " " y[1] (numeric) = 4.010180368333933 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 2.214809156000949500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.1029999999999998 " " y[1] (analytic) = 4.013192054294272 " " y[1] (numeric) = 4.013192054294273 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 2.21314706020545320000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1039999999999996 " " y[1] (analytic) = 4.016206753446918 " " y[1] (numeric) = 4.016206753446919 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 2.211485797980505500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.48786110923056600000000E-8 " " Order of pole = 0.49999999999170264 " " x[1] = 1.1049999999999995 " " y[1] (analytic) = 4.019224468806567 " " y[1] (numeric) = 4.019224468806569 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 4.419650739058388300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.1059999999999994 " " y[1] (analytic) = 4.022245203390938 " " y[1] (numeric) = 4.0222452033909395 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 4.41633155010713930000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1069999999999993 " " y[1] (analytic) = 4.025268960220764 " " y[1] (numeric) = 4.025268960220766 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 4.41301402950929070000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1079999999999992 " " y[1] (analytic) = 4.028295742319802 " " y[1] (numeric) = 4.028295742319804 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 4.409698177664800300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.108999999999999 " " y[1] (analytic) = 4.031325552714835 " " y[1] (numeric) = 4.031325552714837 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 6.60957599245733200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.109999999999999 " " y[1] (analytic) = 4.034358394435673 " " y[1] (numeric) = 4.034358394435675 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 6.60460722273805800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1109999999999989 " " y[1] (analytic) = 4.037394270515158 " " y[1] (numeric) = 4.037394270515161 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 8.79952127724000200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1119999999999988 " " y[1] (analytic) = 4.040433183989167 " " y[1] (numeric) = 4.040433183989170 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 8.79290293149425300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1129999999999987 " " y[1] (analytic) = 4.043475137896613 " " y[1] (numeric) = 4.043475137896618 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.09828599089909250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1139999999999985 " " y[1] (analytic) = 4.046520135279450 " " y[1] (numeric) = 4.046520135279456 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 1.31695143976658550000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593617060000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.1149999999999984 " " y[1] (analytic) = 4.049568179182678 " " y[1] (numeric) = 4.049568179182684 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 1.31596019190281020000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.185696045087012000000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.1159999999999983 " " y[1] (analytic) = 4.052619272654338 " " y[1] (numeric) = 4.052619272654344 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.53413101986971830000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.1169999999999982 " " y[1] (analytic) = 4.055673418745526 " " y[1] (numeric) = 4.055673418745532 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.532975734477150000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.117999999999998 " " y[1] (analytic) = 4.058730620510387 " " y[1] (numeric) = 4.058730620510393 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.5318210345083350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.118999999999998 " " y[1] (analytic) = 4.061790881006123 " " y[1] (numeric) = 4.06179088100613 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.53066692009531440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593408840000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.1199999999999979 " " y[1] (analytic) = 4.064854203292995 " " y[1] (numeric) = 4.064854203293002 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 1.74801530442218470000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1209999999999978 " " y[1] (analytic) = 4.067920590434326 " " y[1] (numeric) = 4.067920590434333 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 1.74669765538426220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1219999999999977 " " y[1] (analytic) = 4.0709900454965045 " " y[1] (numeric) = 4.070990045496510 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.52720809150065400000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1229999999999976 " " y[1] (analytic) = 4.074062571548982 " " y[1] (numeric) = 4.07406257154899 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.9620724122216690000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1239999999999974 " " y[1] (analytic) = 4.077138171664289 " " y[1] (numeric) = 4.077138171664297 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.96059231763492940000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1249999999999973 " " y[1] (analytic) = 4.080216848918023 " " y[1] (numeric) = 4.080216848918031 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.95911297690485320000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.1259999999999972 " " y[1] (analytic) = 4.083298606388864 " " y[1] (numeric) = 4.083298606388872 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.9576343901947480000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1269999999999971 " " y[1] (analytic) = 4.086383447158566 " " y[1] (numeric) = 4.086383447158576 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 2.3908580149263386000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.127999999999997 " " y[1] (analytic) = 4.089471374311974 " " y[1] (numeric) = 4.089471374311984 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 2.3890526971459990000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.128999999999997 " " y[1] (analytic) = 4.0925623909370135 " " y[1] (numeric) = 4.092562390937023 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 2.3872483015376810000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1299999999999968 " " y[1] (analytic) = 4.095656500124702 " " y[1] (numeric) = 4.095656500124711 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 2.38544482829649130000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1309999999999967 " " y[1] (analytic) = 4.098753704969148 " " y[1] (numeric) = 4.098753704969158 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 2.38364227761641460000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1319999999999966 " " y[1] (analytic) = 4.101854008567557 " " y[1] (numeric) = 4.101854008567567 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 2.59837161784398140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.1843833048884700000000E-8 " " Order of pole = 0.49999999997194067 " " x[1] = 1.1329999999999965 " " y[1] (analytic) = 4.104957414020234 " " y[1] (numeric) = 4.1049574140202445 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 2.5964072124108440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.1339999999999963 " " y[1] (analytic) = 4.108063924430583 " " y[1] (numeric) = 4.108063924430594 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 2.5944438140355430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1349999999999962 " " y[1] (analytic) = 4.1111735429051155 " " y[1] (numeric) = 4.111173542905127 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 2.80852154150188160000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1359999999999961 " " y[1] (analytic) = 4.11428627255345 " " y[1] (numeric) = 4.114286272553462 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 3.022273379164870000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.136999999999996 " " y[1] (analytic) = 4.117402116488317 " " y[1] (numeric) = 4.117402116488330 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 3.01998627387091050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.137999999999996 " " y[1] (analytic) = 4.12052107782556 " " y[1] (numeric) = 4.120521077825573 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 3.0177003444340006000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1389999999999958 " " y[1] (analytic) = 4.123643159684141 " " y[1] (numeric) = 4.123643159684154 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 3.2308024190246270000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1399999999999957 " " y[1] (analytic) = 4.126768365186143 " " y[1] (numeric) = 4.126768365186155 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 3.0131320140719553000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1409999999999956 " " y[1] (analytic) = 4.129896697456770 " " y[1] (numeric) = 4.129896697456783 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 3.22591030030027500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.1419999999999955 " " y[1] (analytic) = 4.133028159624354 " " y[1] (numeric) = 4.133028159624368 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 3.4383638742237870000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.1429999999999954 " " y[1] (analytic) = 4.13616275482036 " " y[1] (numeric) = 4.136162754820375 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 3.6504929882910050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1439999999999952 " " y[1] (analytic) = 4.139300486179382 " " y[1] (numeric) = 4.139300486179397 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 3.6477257897357190000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1449999999999951 " " y[1] (analytic) = 4.142441356839152 " " y[1] (numeric) = 4.142441356839167 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 3.64496002097258240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.145999999999995 " " y[1] (analytic) = 4.14558536994054 " " y[1] (numeric) = 4.145585369940556 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 3.85644248711528970000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.146999999999995 " " y[1] (analytic) = 4.14873252862756 " " y[1] (numeric) = 4.148732528627577 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 4.06760133555414240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1479999999999948 " " y[1] (analytic) = 4.151882836047372 " " y[1] (numeric) = 4.151882836047390 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 4.0645149780690570000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217018300000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.1489999999999947 " " y[1] (analytic) = 4.155036295350282 " " y[1] (numeric) = 4.1550362953503 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 4.27518970505286140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1499999999999946 " " y[1] (analytic) = 4.158192909689750 " " y[1] (numeric) = 4.1581929096897685 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 4.2719442747854310000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.1509999999999945 " " y[1] (analytic) = 4.161352682222391 " " y[1] (numeric) = 4.16135268222241 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 4.48213555495651300000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1519999999999944 " " y[1] (analytic) = 4.164515616107979 " " y[1] (numeric) = 4.164515616107997 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 4.4787313899266750000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1529999999999943 " " y[1] (analytic) = 4.167681714509445 " " y[1] (numeric) = 4.167681714509465 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 4.6884398982235365000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.1539999999999941 " " y[1] (analytic) = 4.170850980592891 " " y[1] (numeric) = 4.170850980592910 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 4.6848773366209157000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.154999999999994 " " y[1] (analytic) = 4.1740234175275805 " " y[1] (numeric) = 4.174023417527601 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 4.8941037482734490000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.155999999999994 " " y[1] (analytic) = 4.177199028485953 " " y[1] (numeric) = 4.1771990284859735 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 4.8903831284541760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1569999999999938 " " y[1] (analytic) = 4.1803778166436185 " " y[1] (numeric) = 4.180377816643639 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 4.8866644473547590000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1579999999999937 " " y[1] (analytic) = 4.183559785179366 " " y[1] (numeric) = 4.183559785179386 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 4.8829477053181510000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1589999999999936 " " y[1] (analytic) = 4.186744937275163 " " y[1] (numeric) = 4.186744937275184 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 4.8792329026850140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056162900000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.1599999999999935 " " y[1] (analytic) = 4.1899332761161645 " " y[1] (numeric) = 4.189933276116185 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 4.8755200397937115000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1609999999999934 " " y[1] (analytic) = 4.193124804890706 " " y[1] (numeric) = 4.1931248048907275 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 5.083626904675119000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1619999999999933 " " y[1] (analytic) = 4.19631952679032 " " y[1] (numeric) = 4.196319526790341 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 5.0797566621690030000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1629999999999932 " " y[1] (analytic) = 4.199517445009726 " " y[1] (numeric) = 4.199517445009748 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 5.2873837966523090000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.163999999999993 " " y[1] (analytic) = 4.202718562746844 " " y[1] (numeric) = 4.202718562746867 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 5.4946907739428070000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.164999999999993 " " y[1] (analytic) = 4.205922883202792 " " y[1] (numeric) = 4.205922883202815 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 5.4905045939925350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1659999999999928 " " y[1] (analytic) = 4.20913040958189 " " y[1] (numeric) = 4.209130409581913 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 5.4863206090345730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1669999999999927 " " y[1] (analytic) = 4.212341145091665 " " y[1] (numeric) = 4.212341145091690 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 5.6929903124884560000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.431361296562938800000000E-8 " " Order of pole = 0.49999999999809575 " " x[1] = 1.1679999999999926 " " y[1] (analytic) = 4.215555092942854 " " y[1] (numeric) = 4.215555092942878 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 5.6886499649948870000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1689999999999925 " " y[1] (analytic) = 4.218772256349402 " " y[1] (numeric) = 4.2187722563494265 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 5.8948419683415690000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.1699999999999924 " " y[1] (analytic) = 4.221992638528475 " " y[1] (numeric) = 4.2219926385285005 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 6.1007150832648030000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1709999999999923 " " y[1] (analytic) = 4.225216242700456 " " y[1] (numeric) = 4.225216242700482 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 6.0960605781543350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1719999999999922 " " y[1] (analytic) = 4.228443072088948 " " y[1] (numeric) = 4.228443072088974 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 6.3014570934829550000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.172999999999992 " " y[1] (analytic) = 4.231673129920780 " " y[1] (numeric) = 4.231673129920808 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 6.5065353975531020000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.173999999999992 " " y[1] (analytic) = 4.234906419426013 " " y[1] (numeric) = 4.234906419426041 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 6.7112957443475710000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1749999999999918 " " y[1] (analytic) = 4.238142943837934 " " y[1] (numeric) = 4.238142943837962 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 6.7061705579628630000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.1759999999999917 " " y[1] (analytic) = 4.241382706393070 " " y[1] (numeric) = 4.241382706393098 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 6.7010480774497770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1769999999999916 " " y[1] (analytic) = 4.244625710331180 " " y[1] (numeric) = 4.244625710331209 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 6.695928303225220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1779999999999915 " " y[1] (analytic) = 4.2478719588952725 " " y[1] (numeric) = 4.247871958895302 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.8998990868186720000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1789999999999914 " " y[1] (analytic) = 4.251121455331594 " " y[1] (numeric) = 4.2511214553316234 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.8946249026465210000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1799999999999913 " " y[1] (analytic) = 4.254374202889642 " " y[1] (numeric) = 4.254374202889672 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.8893535106047710000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1809999999999912 " " y[1] (analytic) = 4.257630204822164 " " y[1] (numeric) = 4.257630204822194 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.8840849111103970000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.181999999999991 " " y[1] (analytic) = 4.260889464385163 " " y[1] (numeric) = 4.260889464385192 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.8788191045771440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.182999999999991 " " y[1] (analytic) = 4.2641519848378975 " " y[1] (numeric) = 4.264151984837927 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.8735560914155250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1839999999999908 " " y[1] (analytic) = 4.267417769442888 " " y[1] (numeric) = 4.267417769442918 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 7.0764260499732180000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.1849999999999907 " " y[1] (analytic) = 4.2706868214659215 " " y[1] (numeric) = 4.270686821465952 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 7.0710093088583610000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1859999999999906 " " y[1] (analytic) = 4.2739591441760485 " " y[1] (numeric) = 4.27395914417608 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 7.2734070778061500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1869999999999905 " " y[1] (analytic) = 4.277234740845593 " " y[1] (numeric) = 4.277234740845624 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 7.2678369491029500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.1879999999999904 " " y[1] (analytic) = 4.28051361475015 " " y[1] (numeric) = 4.280513614750182 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 7.4697632076263880000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1889999999999903 " " y[1] (analytic) = 4.283795769168597 " " y[1] (numeric) = 4.283795769168629 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 7.4640400318174220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1899999999999902 " " y[1] (analytic) = 4.2870812073830855 " " y[1] (numeric) = 4.287081207383118 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 7.6654954593138170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.19099999999999 " " y[1] (analytic) = 4.290369932679056 " " y[1] (numeric) = 4.290369932679089 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 7.6596195769962630000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.19199999999999 " " y[1] (analytic) = 4.293661948345234 " " y[1] (numeric) = 4.2936619483452665 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 7.653746830620840000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.1929999999999898 " " y[1] (analytic) = 4.2969572576736335 " " y[1] (numeric) = 4.296957257673667 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 7.8545766049526360000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.1939999999999897 " " y[1] (analytic) = 4.300255863959565 " " y[1] (numeric) = 4.3002558639596 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 8.0550924094107790000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1949999999999896 " " y[1] (analytic) = 4.303557770501637 " " y[1] (numeric) = 4.303557770501672 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 8.0489121363107090000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.1959999999999895 " " y[1] (analytic) = 4.306862980601754 " " y[1] (numeric) = 4.30686298060179 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 8.2489591491580640000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.1969999999999894 " " y[1] (analytic) = 4.310171497565127 " " y[1] (numeric) = 4.310171497565164 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 8.4486928717979380000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.1979999999999893 " " y[1] (analytic) = 4.313483324700274 " " y[1] (numeric) = 4.313483324700310 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 8.4422060934327310000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.1989999999999892 " " y[1] (analytic) = 4.316798465319022 " " y[1] (numeric) = 4.316798465319060 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 8.6414721296581180000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.199999999999989 " " y[1] (analytic) = 4.320116922736512 " " y[1] (numeric) = 4.320116922736549 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 8.6348342636467190000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.200999999999989 " " y[1] (analytic) = 4.3234387002712005 " " y[1] (numeric) = 4.323438700271238 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 8.6281999615410960000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2019999999999889 " " y[1] (analytic) = 4.326763801244866 " " y[1] (numeric) = 4.326763801244904 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 8.8268446814954750000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2029999999999887 " " y[1] (analytic) = 4.33009222898261 " " y[1] (numeric) = 4.3300922289826485 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 8.8200597186999930000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2039999999999886 " " y[1] (analytic) = 4.333423986812860 " " y[1] (numeric) = 4.3334239868129 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 9.0182383689503440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2049999999999885 " " y[1] (analytic) = 4.336759078067377 " " y[1] (numeric) = 4.3367590780674155 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 8.8065007438976830000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2059999999999884 " " y[1] (analytic) = 4.340097506081248 " " y[1] (numeric) = 4.340097506081287 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 9.0043715405120960000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2069999999999883 " " y[1] (analytic) = 4.343439274192905 " " y[1] (numeric) = 4.343439274192944 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 8.9974437305946450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2079999999999882 " " y[1] (analytic) = 4.3467843857441135 " " y[1] (numeric) = 4.3467843857441535 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 9.1948496496827330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217083700000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.208999999999988 " " y[1] (analytic) = 4.350132844079987 " " y[1] (numeric) = 4.3501328440800275 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 9.3919447452751240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.209999999999988 " " y[1] (analytic) = 4.353484652548984 " " y[1] (numeric) = 4.3534846525490245 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 9.3847137562054530000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2109999999999879 " " y[1] (analytic) = 4.356839814502912 " " y[1] (numeric) = 4.356839814502954 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 9.581345081117851000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2119999999999878 " " y[1] (analytic) = 4.360198333296935 " " y[1] (numeric) = 4.360198333296977 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 9.5739648830013520000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2129999999999876 " " y[1] (analytic) = 4.363560212289571 " " y[1] (numeric) = 4.363560212289614 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 9.7701331187169740000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.2139999999999875 " " y[1] (analytic) = 4.366925454842700 " " y[1] (numeric) = 4.366925454842743 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 9.7626040532312360000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2149999999999874 " " y[1] (analytic) = 4.370294064321564 " " y[1] (numeric) = 4.370294064321608 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 9.9583098813883160000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.2159999999999873 " " y[1] (analytic) = 4.373666044094774 " " y[1] (numeric) = 4.373666044094818 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 9.9506322902881130000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267414500000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.2169999999999872 " " y[1] (analytic) = 4.377041397534309 " " y[1] (numeric) = 4.377041397534353 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.0145876392675394000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.217999999999987 " " y[1] (analytic) = 4.380420128015523 " " y[1] (numeric) = 4.380420128015567 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.0138050617789712000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342820800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.218999999999987 " " y[1] (analytic) = 4.383802238917146 " " y[1] (numeric) = 4.383802238917191 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.0332833676341965000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2199999999999869 " " y[1] (analytic) = 4.387187733621290 " " y[1] (numeric) = 4.387187733621336 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.0324860059571024000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2209999999999868 " " y[1] (analytic) = 4.39057661551345 " " y[1] (numeric) = 4.390576615513496 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.051918275636454900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.2219999999999867 " " y[1] (analytic) = 4.393968887982508 " " y[1] (numeric) = 4.393968887982555 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.0713197440439871000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2229999999999865 " " y[1] (analytic) = 4.397364554420738 " " y[1] (numeric) = 4.397364554420784 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.0502944946416994000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.8992390234246700000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.2239999999999864 " " y[1] (analytic) = 4.400763618223804 " " y[1] (numeric) = 4.400763618223851 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.0696656382354386000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621641900000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.2249999999999863 " " y[1] (analytic) = 4.4041660827907725 " " y[1] (numeric) = 4.40416608279082 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.0688392617173456000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932361760000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.2259999999999862 " " y[1] (analytic) = 4.4075719515241065 " " y[1] (numeric) = 4.4075719515241545 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.088164531204578000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.226999999999986 " " y[1] (analytic) = 4.410981227829677 " " y[1] (numeric) = 4.410981227829725 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.0873234817053436000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.227999999999986 " " y[1] (analytic) = 4.41439391511676 " " y[1] (numeric) = 4.414393915116808 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.086482891786475100000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2289999999999859 " " y[1] (analytic) = 4.417810016798041 " " y[1] (numeric) = 4.41781001679809 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.1057472570745008000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.2299999999999858 " " y[1] (analytic) = 4.421229536289625 " " y[1] (numeric) = 4.421229536289674 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 1.124980983116927900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.2309999999999857 " " y[1] (analytic) = 4.42465247701103 " " y[1] (numeric) = 4.4246524770110796 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 1.1241106903113518000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2319999999999856 " " y[1] (analytic) = 4.428078842385197 " " y[1] (numeric) = 4.428078842385247 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 1.123240874284332000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2329999999999854 " " y[1] (analytic) = 4.431508635838492 " " y[1] (numeric) = 4.431508635838543 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.1424138839194226000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2339999999999853 " " y[1] (analytic) = 4.434941860800710 " " y[1] (numeric) = 4.434941860800760 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.161556339620348000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.2349999999999852 " " y[1] (analytic) = 4.438378520705074 " " y[1] (numeric) = 4.438378520705125 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.160656940418497000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.235999999999985 " " y[1] (analytic) = 4.441818618988245 " " y[1] (numeric) = 4.4418186189882976 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.1797538633903877000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.236999999999985 " " y[1] (analytic) = 4.445262159090323 " " y[1] (numeric) = 4.445262159090375 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.1788399623438862000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.237999999999985 " " y[1] (analytic) = 4.448709144454845 " " y[1] (numeric) = 4.448709144454899 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.19789142089526010000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.2389999999999848 " " y[1] (analytic) = 4.452159578528802 " " y[1] (numeric) = 4.452159578528854 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.1770136680416024000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2399999999999847 " " y[1] (analytic) = 4.455613464762623 " " y[1] (numeric) = 4.455613464762676 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.1960351947820194000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2409999999999846 " " y[1] (analytic) = 4.459070806610197 " " y[1] (numeric) = 4.45907080661025 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.1951078485456774000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932361760000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.2419999999999844 " " y[1] (analytic) = 4.462531607528867 " " y[1] (numeric) = 4.46253160752892 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.194181013577567000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2429999999999843 " " y[1] (analytic) = 4.465995870979431 " " y[1] (numeric) = 4.465995870979485 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.2131422680833277000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2439999999999842 " " y[1] (analytic) = 4.469463600426156 " " y[1] (numeric) = 4.469463600426211 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 1.2320731735270694000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.2449999999999841 " " y[1] (analytic) = 4.4729347993367705 " " y[1] (numeric) = 4.4729347993368265 " " absolute error = 5.59552404411078900000000000000E-14 " " relative error = 1.2509737555174003000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.245999999999984 " " y[1] (analytic) = 4.476409471182474 " " y[1] (numeric) = 4.47640947118253 " " absolute error = 5.59552404411078900000000000000E-14 " " relative error = 1.2500027265451866000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.246999999999984 " " y[1] (analytic) = 4.479887619437938 " " y[1] (numeric) = 4.479887619437994 " " absolute error = 5.59552404411078900000000000000E-14 " " relative error = 1.2490322346105687000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2479999999999838 " " y[1] (analytic) = 4.483369247581312 " " y[1] (numeric) = 4.483369247581368 " " absolute error = 5.59552404411078900000000000000E-14 " " relative error = 1.2480622797529922000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.2489999999999837 " " y[1] (analytic) = 4.486854359094223 " " y[1] (numeric) = 4.48685435909428 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 1.2668879868051522000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.487861109229730700000000E-8 " " Order of pole = 0.49999999999170264 " " x[1] = 1.2499999999999836 " " y[1] (analytic) = 4.490342957461785 " " y[1] (numeric) = 4.490342957461841 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 1.2659037271607285000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2509999999999835 " " y[1] (analytic) = 4.4938350461725936 " " y[1] (numeric) = 4.493835046172651 " " absolute error = 5.77315972805081400000000000000E-14 " " relative error = 1.284684388441855000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2519999999999833 " " y[1] (analytic) = 4.49733062871874 " " y[1] (numeric) = 4.497330628718799 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.3034348714741628000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.2529999999999832 " " y[1] (analytic) = 4.500829708595807 " " y[1] (numeric) = 4.500829708595866 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.3024215421493202000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2539999999999831 " " y[1] (analytic) = 4.504332289302875 " " y[1] (numeric) = 4.504332289302933 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.3014087757118095000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.254999999999983 " " y[1] (analytic) = 4.507838374342523 " " y[1] (numeric) = 4.507838374342582 " " absolute error = 5.95079541199083900000000000000E-14 " " relative error = 1.320099550565358200000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.255999999999983 " " y[1] (analytic) = 4.511347967220838 " " y[1] (numeric) = 4.511347967220898 " " absolute error = 5.95079541199083900000000000000E-14 " " relative error = 1.3190725821259927000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2569999999999828 " " y[1] (analytic) = 4.514861071447413 " " y[1] (numeric) = 4.5148610714474735 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 1.3377185163362337000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2579999999999827 " " y[1] (analytic) = 4.5183776905353525 " " y[1] (numeric) = 4.518377690535413 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 1.3366773801605900000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2589999999999826 " " y[1] (analytic) = 4.521897828001276 " " y[1] (numeric) = 4.521897828001337 " " absolute error = 6.12843109593086400000000000000E-14 " " relative error = 1.3552785421159533000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2599999999999825 " " y[1] (analytic) = 4.52542148736532 " " y[1] (numeric) = 4.525421487365382 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 1.3738496967098043000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2609999999999824 " " y[1] (analytic) = 4.528948672151146 " " y[1] (numeric) = 4.528948672151208 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 1.3727797305655548000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2619999999999822 " " y[1] (analytic) = 4.532479385885939 " " y[1] (numeric) = 4.532479385886000 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 1.3717103617197424000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2629999999999821 " " y[1] (analytic) = 4.53601363210041 " " y[1] (numeric) = 4.536013632100474 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.409802778498207000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.263999999999982 " " y[1] (analytic) = 4.539551414328809 " " y[1] (numeric) = 4.539551414328873 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.4087040850899607000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.264999999999982 " " y[1] (analytic) = 4.5430927361089175 " " y[1] (numeric) = 4.5430927361089815 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.4076060061494614000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2659999999999818 " " y[1] (analytic) = 4.5466376009820575 " " y[1] (numeric) = 4.546637600982121 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.4065085417099504000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2669999999999817 " " y[1] (analytic) = 4.550186012493094 " " y[1] (numeric) = 4.550186012493158 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.405411691804019000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.2679999999999816 " " y[1] (analytic) = 4.5537379741904385 " " y[1] (numeric) = 4.553737974190502 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.4043154564636060000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2689999999999815 " " y[1] (analytic) = 4.557293489626053 " " y[1] (numeric) = 4.557293489626118 " " absolute error = 6.48370246381091400000000000000E-14 " " relative error = 1.4227090001050013000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2699999999999814 " " y[1] (analytic) = 4.560852562355454 " " y[1] (numeric) = 4.560852562355520 " " absolute error = 6.48370246381091400000000000000E-14 " " relative error = 1.421598785570565000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2709999999999813 " " y[1] (analytic) = 4.564415195937714 " " y[1] (numeric) = 4.56441519593778 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 1.4399479503158272000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.2719999999999811 " " y[1] (analytic) = 4.567981393935467 " " y[1] (numeric) = 4.567981393935534 " " absolute error = 6.66133814775093900000000000000E-14 " " relative error = 1.4582673555970804000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.272999999999981 " " y[1] (analytic) = 4.571551159914911 " " y[1] (numeric) = 4.5715511599149785 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 1.4765570270565648000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.273999999999981 " " y[1] (analytic) = 4.575124497445813 " " y[1] (numeric) = 4.575124497445880 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 1.475403782670703000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621641900000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.2749999999999808 " " y[1] (analytic) = 4.578701410101510 " " y[1] (numeric) = 4.578701410101578 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 1.4742511872097158000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056016400000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.2759999999999807 " " y[1] (analytic) = 4.5822819014589165 " " y[1] (numeric) = 4.582281901458984 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 1.4730992407018484000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.2769999999999806 " " y[1] (analytic) = 4.585865975098521 " " y[1] (numeric) = 4.5858659750985895 " " absolute error = 6.83897383169096400000000000000E-14 " " relative error = 1.4913156792690693000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2779999999999805 " " y[1] (analytic) = 4.589453634604402 " " y[1] (numeric) = 4.589453634604470 " " absolute error = 6.75015598972095200000000000000E-14 " " relative error = 1.4707972946550527000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2789999999999804 " " y[1] (analytic) = 4.593044883564215 " " y[1] (numeric) = 4.593044883564283 " " absolute error = 6.83897383169096400000000000000E-14 " " relative error = 1.4889847595793365000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2799999999999803 " " y[1] (analytic) = 4.596639725569210 " " y[1] (numeric) = 4.59663972556928 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 1.5071426274990685000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.2809999999999802 " " y[1] (analytic) = 4.6002381642142325 " " y[1] (numeric) = 4.600238164214302 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 1.5059636971739948000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.28199999999998 " " y[1] (analytic) = 4.603840203097718 " " y[1] (numeric) = 4.603840203097788 " " absolute error = 7.01660951563098900000000000000E-14 " " relative error = 1.5240775539754456000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.28299999999998 " " y[1] (analytic) = 4.607445845821706 " " y[1] (numeric) = 4.607445845821778 " " absolute error = 7.19424519957101400000000000000E-14 " " relative error = 1.5614389056998174000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2839999999999798 " " y[1] (analytic) = 4.611055095991842 " " y[1] (numeric) = 4.611055095991914 " " absolute error = 7.19424519957101400000000000000E-14 " " relative error = 1.560216707413582800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2849999999999797 " " y[1] (analytic) = 4.6146679572173745 " " y[1] (numeric) = 4.614667957217447 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 1.5782420553466392000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2859999999999796 " " y[1] (analytic) = 4.618284433111166 " " y[1] (numeric) = 4.6182844331112385 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 1.577006169071033000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.2869999999999795 " " y[1] (analytic) = 4.621904527289692 " " y[1] (numeric) = 4.6219045272897645 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 1.5757709832686337000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2879999999999794 " " y[1] (analytic) = 4.625528243373045 " " y[1] (numeric) = 4.62552824337312 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 1.612939827179724000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932361760000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.2889999999999793 " " y[1] (analytic) = 4.629155584984946 " " y[1] (numeric) = 4.62915558498502 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 1.6116759500761768000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.2899999999999792 " " y[1] (analytic) = 4.632786555752734 " " y[1] (numeric) = 4.6327865557528085 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 1.6104127905950633000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.98387125794702400000000E-8 " " Order of pole = 0.49999999997304023 " " x[1] = 1.290999999999979 " " y[1] (analytic) = 4.63642115930738 " " y[1] (numeric) = 4.636421159307455 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 1.6091503487564063000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.291999999999979 " " y[1] (analytic) = 4.640059399283488 " " y[1] (numeric) = 4.6400593992835635 " " absolute error = 7.54951656745106400000000000000E-14 " " relative error = 1.6270301558244818000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621641900000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.2929999999999788 " " y[1] (analytic) = 4.643701279319298 " " y[1] (numeric) = 4.643701279319375 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 1.644880656608633000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2939999999999787 " " y[1] (analytic) = 4.647346803056693 " " y[1] (numeric) = 4.647346803056770 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 1.643590360933926000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.2949999999999786 " " y[1] (analytic) = 4.650995974141194 " " y[1] (numeric) = 4.650995974141270 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 1.6423008000628280000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.2959999999999785 " " y[1] (analytic) = 4.654648796221974 " " y[1] (numeric) = 4.654648796222050 " " absolute error = 7.7271522513910900000000000000E-14 " " relative error = 1.660093508593595000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932555700000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.2969999999999784 " " y[1] (analytic) = 4.6583052729518535 " " y[1] (numeric) = 4.658305272951932 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 1.677856996351017000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.2979999999999783 " " y[1] (analytic) = 4.661965407987311 " " y[1] (numeric) = 4.66196540798739 " " absolute error = 7.90478793533111500000000000000E-14 " " relative error = 1.695591288984663000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.2989999999999782 " " y[1] (analytic) = 4.665629204988482 " " y[1] (numeric) = 4.665629204988561 " " absolute error = 7.90478793533111500000000000000E-14 " " relative error = 1.6942597853424207000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.299999999999978 " " y[1] (analytic) = 4.669296667619164 " " y[1] (numeric) = 4.669296667619244 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 1.7119507168468268000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.300999999999978 " " y[1] (analytic) = 4.672967799546819 " " y[1] (numeric) = 4.672967799546899 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 1.7106057906233255000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 9.058451463462763000000000E-9 " " Order of pole = 0.49999999999894307 " " x[1] = 1.3019999999999778 " " y[1] (analytic) = 4.676642604442579 " " y[1] (numeric) = 4.67664260444266 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 1.7282534294139212000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3029999999999777 " " y[1] (analytic) = 4.680321085981250 " " y[1] (numeric) = 4.680321085981332 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 1.726895114841597000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3039999999999776 " " y[1] (analytic) = 4.684003247841314 " " y[1] (numeric) = 4.684003247841396 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 1.7444995293303820000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3049999999999775 " " y[1] (analytic) = 4.687689093704933 " " y[1] (numeric) = 4.687689093705015 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 1.7431278606369732000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3059999999999774 " " y[1] (analytic) = 4.691378627257953 " " y[1] (numeric) = 4.691378627258035 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 1.741756978165101000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3069999999999773 " " y[1] (analytic) = 4.695071852189908 " " y[1] (numeric) = 4.69507185218999 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 1.7403868819238333000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.81025823943477600000000E-8 " " Order of pole = 0.4999999999972502 " " x[1] = 1.3079999999999772 " " y[1] (analytic) = 4.698768772194024 " " y[1] (numeric) = 4.698768772194105 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 1.7390175719214432000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.308999999999977 " " y[1] (analytic) = 4.702469390967218 " " y[1] (numeric) = 4.702469390967301 " " absolute error = 8.26005930321116500000000000000E-14 " " relative error = 1.7565365378193798000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.309999999999977 " " y[1] (analytic) = 4.706173712210113 " " y[1] (numeric) = 4.706173712210196 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 1.774026556546375000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3109999999999769 " " y[1] (analytic) = 4.709881739627030 " " y[1] (numeric) = 4.709881739627113 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 1.77262988897091000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3119999999999767 " " y[1] (analytic) = 4.713593476925993 " " y[1] (numeric) = 4.713593476926078 " " absolute error = 8.4376949871511900000000000000E-14 " " relative error = 1.7900769399091027000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3129999999999766 " " y[1] (analytic) = 4.7173089278187454 " " y[1] (numeric) = 4.717308927818829 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 1.769838963894537000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.3139999999999765 " " y[1] (analytic) = 4.721028096020733 " " y[1] (numeric) = 4.721028096020818 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 1.8060711895165465000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3149999999999764 " " y[1] (analytic) = 4.724750985251129 " " y[1] (numeric) = 4.724750985251213 " " absolute error = 8.4376949871511900000000000000E-14 " " relative error = 1.7858496698535978000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.3159999999999763 " " y[1] (analytic) = 4.728477599232819 " " y[1] (numeric) = 4.728477599232904 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 1.8032258058078995000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3169999999999762 " " y[1] (analytic) = 4.732207941692419 " " y[1] (numeric) = 4.732207941692505 " " absolute error = 8.61533067109121500000000000000E-14 " " relative error = 1.820573139905184000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.317999999999976 " " y[1] (analytic) = 4.735942016360272 " " y[1] (numeric) = 4.735942016360359 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 1.8378916977853235000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.318999999999976 " " y[1] (analytic) = 4.739679826970453 " " y[1] (numeric) = 4.73967982697054 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 1.836442297965264800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.3199999999999759 " " y[1] (analytic) = 4.743421377260772 " " y[1] (numeric) = 4.7434213772608596 " " absolute error = 8.7929663550312400000000000000E-14 " " relative error = 1.8537181615749680000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.3209999999999757 " " y[1] (analytic) = 4.747166670972781 " " y[1] (numeric) = 4.747166670972868 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 1.8335460109888216000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3219999999999756 " " y[1] (analytic) = 4.750915711851773 " " y[1] (numeric) = 4.750915711851861 " " absolute error = 8.7929663550312400000000000000E-14 " " relative error = 1.850794012845996800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.3229999999999755 " " y[1] (analytic) = 4.754668503646789 " " y[1] (numeric) = 4.754668503646878 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 1.868013341032924200000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3239999999999754 " " y[1] (analytic) = 4.758425050110621 " " y[1] (numeric) = 4.758425050110711 " " absolute error = 8.97060203897126500000000000000E-14 " " relative error = 1.8852040211840093000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3249999999999753 " " y[1] (analytic) = 4.762185354999818 " " y[1] (numeric) = 4.762185354999907 " " absolute error = 8.97060203897126500000000000000E-14 " " relative error = 1.883715431099932000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.3259999999999752 " " y[1] (analytic) = 4.765949422074682 " " y[1] (numeric) = 4.7659494220747725 " " absolute error = 9.05941988094127700000000000000E-14 " " relative error = 1.9008636220477534000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.326999999999975 " " y[1] (analytic) = 4.769717255099282 " " y[1] (numeric) = 4.769717255099374 " " absolute error = 9.1482377229112900000000000000E-14 " " relative error = 1.9179832333103086000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.327999999999975 " " y[1] (analytic) = 4.7734888578414525 " " y[1] (numeric) = 4.773488857841544 " " absolute error = 9.1482377229112900000000000000E-14 " " relative error = 1.9164678069549484000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3289999999999749 " " y[1] (analytic) = 4.777264234072794 " " y[1] (numeric) = 4.777264234072886 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 1.9335450400670787000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3299999999999748 " " y[1] (analytic) = 4.781043387568685 " " y[1] (numeric) = 4.7810433875687774 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 1.932016678388405700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3309999999999746 " " y[1] (analytic) = 4.7848263221082785 " " y[1] (numeric) = 4.784826322108372 " " absolute error = 9.32587340685131500000000000000E-14 " " relative error = 1.9490516016769804000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3319999999999745 " " y[1] (analytic) = 4.78861304147451 " " y[1] (numeric) = 4.788613041474603 " " absolute error = 9.32587340685131500000000000000E-14 " " relative error = 1.947510338814032000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3329999999999744 " " y[1] (analytic) = 4.792403549454098 " " y[1] (numeric) = 4.792403549454192 " " absolute error = 9.32587340685131500000000000000E-14 " " relative error = 1.9459699732326635000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3339999999999743 " " y[1] (analytic) = 4.796197849837552 " " y[1] (numeric) = 4.796197849837646 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 1.9629488906801884000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3349999999999742 " " y[1] (analytic) = 4.7999959464191715 " " y[1] (numeric) = 4.7999959464192665 " " absolute error = 9.5035090907913400000000000000E-14 " " relative error = 1.979899399265330800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.335999999999974 " " y[1] (analytic) = 4.803797842997055 " " y[1] (numeric) = 4.80379784299715 " " absolute error = 9.5035090907913400000000000000E-14 " " relative error = 1.9783324364170515000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.336999999999974 " " y[1] (analytic) = 4.807603543373098 " " y[1] (numeric) = 4.807603543373193 " " absolute error = 9.5035090907913400000000000000E-14 " " relative error = 1.9767663878797112000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061903470600000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3379999999999739 " " y[1] (analytic) = 4.811413051353002 " " y[1] (numeric) = 4.811413051353097 " " absolute error = 9.5035090907913400000000000000E-14 " " relative error = 1.9752012536356423000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3389999999999738 " " y[1] (analytic) = 4.815226370746274 " " y[1] (numeric) = 4.81522637074637 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 1.9920822395883983000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217083700000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.3399999999999737 " " y[1] (analytic) = 4.819043505366235 " " y[1] (numeric) = 4.819043505366332 " " absolute error = 9.68114477473136500000000000000E-14 " " relative error = 2.008934919128857700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3409999999999735 " " y[1] (analytic) = 4.82286445903002 " " y[1] (numeric) = 4.822864459030117 " " absolute error = 9.68114477473136500000000000000E-14 " " relative error = 2.0073433240706182000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3419999999999734 " " y[1] (analytic) = 4.826689235558582 " " y[1] (numeric) = 4.82668923555868 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 2.024154060867505000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3429999999999733 " " y[1] (analytic) = 4.8305178387767 " " y[1] (numeric) = 4.830517838776798 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 2.022549743688672700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.93518539854566600000000E-8 " " Order of pole = 0.4999999999929745 " " x[1] = 1.3439999999999732 " " y[1] (analytic) = 4.8343502725129746 " " y[1] (numeric) = 4.834350272513073 " " absolute error = 9.8587804586713900000000000000E-14 " " relative error = 2.0393186060030014000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.344999999999973 " " y[1] (analytic) = 4.838186540599842 " " y[1] (numeric) = 4.83818654059994 " " absolute error = 9.8587804586713900000000000000E-14 " " relative error = 2.0377016007838944000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.345999999999973 " " y[1] (analytic) = 4.842026646873569 " " y[1] (numeric) = 4.842026646873668 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 2.054428656865081900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3469999999999729 " " y[1] (analytic) = 4.845870595174263 " " y[1] (numeric) = 4.845870595174363 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 2.052798997676015300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932361760000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.3479999999999728 " " y[1] (analytic) = 4.849718389345874 " " y[1] (numeric) = 4.849718389345973 " " absolute error = 9.94759830064140300000000000000E-14 " " relative error = 2.0511702952680363000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3489999999999727 " " y[1] (analytic) = 4.853570033236194 " " y[1] (numeric) = 4.853570033236294 " " absolute error = 1.00364161426114150000000000000E-13 " " relative error = 2.0678420366625425000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.3499999999999726 " " y[1] (analytic) = 4.857425530696869 " " y[1] (numeric) = 4.857425530696970 " " absolute error = 1.00364161426114150000000000000E-13 " " relative error = 2.0662007228284868000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.781038570463428400000000E-8 " " Order of pole = 0.49999999998255973 " " x[1] = 1.3509999999999724 " " y[1] (analytic) = 4.861284885583395 " " y[1] (numeric) = 4.861284885583497 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 2.0828308200181347000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3519999999999723 " " y[1] (analytic) = 4.865148101755130 " " y[1] (numeric) = 4.865148101755231 " " absolute error = 1.0214051826551440000000000000E-13 " " relative error = 2.099432866774737000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.3529999999999722 " " y[1] (analytic) = 4.8690151830752875 " " y[1] (numeric) = 4.86901518307539 " " absolute error = 1.0214051826551440000000000000E-13 " " relative error = 2.0977654499939777000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.810258239435212400000000E-8 " " Order of pole = 0.4999999999972502 " " x[1] = 1.3539999999999721 " " y[1] (analytic) = 4.872886133410951 " " y[1] (numeric) = 4.872886133411054 " " absolute error = 1.03028696685214530000000000000E-13 " " relative error = 2.1143259633915537000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.354999999999972 " " y[1] (analytic) = 4.8767609566330705 " " y[1] (numeric) = 4.876760956633174 " " absolute error = 1.03916875104914650000000000000E-13 " " relative error = 2.1308584945828296000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.355999999999972 " " y[1] (analytic) = 4.88063965661647 " " y[1] (numeric) = 4.880639656616574 " " absolute error = 1.03916875104914650000000000000E-13 " " relative error = 2.129165077041471000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3569999999999718 " " y[1] (analytic) = 4.88452223723985 " " y[1] (numeric) = 4.8845222372399535 " " absolute error = 1.03916875104914650000000000000E-13 " " relative error = 2.1274726586900766000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3579999999999717 " " y[1] (analytic) = 4.88840870238579 " " y[1] (numeric) = 4.888408702385894 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 2.1439503099130117000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3589999999999716 " " y[1] (analytic) = 4.892299055940756 " " y[1] (numeric) = 4.892299055940862 " " absolute error = 1.0569323194431490000000000000E-13 " " relative error = 2.1604000641778184000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3599999999999715 " " y[1] (analytic) = 4.896193301795103 " " y[1] (numeric) = 4.8961933017952095 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 2.176821947061175800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.3609999999999713 " " y[1] (analytic) = 4.900091443843077 " " y[1] (numeric) = 4.900091443843183 " " absolute error = 1.06581410364015030000000000000E-13 " " relative error = 2.1750902322023738000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3619999999999712 " " y[1] (analytic) = 4.903993485982820 " " y[1] (numeric) = 4.903993485982927 " " absolute error = 1.07469588783715150000000000000E-13 " " relative error = 2.191470871462158000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.3629999999999711 " " y[1] (analytic) = 4.907899432116373 " " y[1] (numeric) = 4.907899432116480 " " absolute error = 1.07469588783715150000000000000E-13 " " relative error = 2.189726791882782000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.363999999999971 " " y[1] (analytic) = 4.911809286149684 " " y[1] (numeric) = 4.911809286149793 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 2.2060662556456012000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.364999999999971 " " y[1] (analytic) = 4.915723051992607 " " y[1] (numeric) = 4.915723051992717 " " absolute error = 1.0924594562311540000000000000E-13 " " relative error = 2.222377958799614000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3659999999999708 " " y[1] (analytic) = 4.91964073355891 " " y[1] (numeric) = 4.919640733559019 " " absolute error = 1.0924594562311540000000000000E-13 " " relative error = 2.2206082016904913000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3669999999999707 " " y[1] (analytic) = 4.923562334766272 " " y[1] (numeric) = 4.923562334766381 " " absolute error = 1.0924594562311540000000000000E-13 " " relative error = 2.218839494560831000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3679999999999706 " " y[1] (analytic) = 4.927487859536296 " " y[1] (numeric) = 4.927487859536406 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 2.2350968116475434000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3689999999999705 " " y[1] (analytic) = 4.931417311794506 " " y[1] (numeric) = 4.9314173117946165 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 2.2333158416629423000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3699999999999704 " " y[1] (analytic) = 4.9353506954703565 " " y[1] (numeric) = 4.935350695470467 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 2.2315359300382878000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.810258239435212400000000E-8 " " Order of pole = 0.4999999999972502 " " x[1] = 1.3709999999999702 " " y[1] (analytic) = 4.9392880144972295 " " y[1] (numeric) = 4.939288014497340 " " absolute error = 1.11022302462515650000000000000E-13 " " relative error = 2.24773898862864000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3719999999999701 " " y[1] (analytic) = 4.943229272812446 " " y[1] (numeric) = 4.943229272812557 " " absolute error = 1.11022302462515650000000000000E-13 " " relative error = 2.2459468565039795000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.37299999999997 " " y[1] (analytic) = 4.947174474357263 " " y[1] (numeric) = 4.947174474357375 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 2.2621090374370756000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.37399999999997 " " y[1] (analytic) = 4.951123623076884 " " y[1] (numeric) = 4.951123623076996 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 2.260304718722996000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.3749999999999698 " " y[1] (analytic) = 4.955076722920458 " " y[1] (numeric) = 4.95507672292057 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 2.2585014751549035000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3759999999999697 " " y[1] (analytic) = 4.959033777841084 " " y[1] (numeric) = 4.959033777841196 " " absolute error = 1.11910480882215780000000000000E-13 " " relative error = 2.2566993066729224000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.525926664621696000000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3769999999999696 " " y[1] (analytic) = 4.962994791795817 " " y[1] (numeric) = 4.962994791795930 " " absolute error = 1.1279865930191590000000000000E-13 " " relative error = 2.2727942307813848000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3779999999999695 " " y[1] (analytic) = 4.966959768745673 " " y[1] (numeric) = 4.966959768745785 " " absolute error = 1.1279865930191590000000000000E-13 " " relative error = 2.2709799264269342000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3789999999999694 " " y[1] (analytic) = 4.970928712655628 " " y[1] (numeric) = 4.97092871265574 " " absolute error = 1.1279865930191590000000000000E-13 " " relative error = 2.2691667055039155000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3799999999999693 " " y[1] (analytic) = 4.974901627494626 " " y[1] (numeric) = 4.97490162749474 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 2.285207753522335000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3809999999999691 " " y[1] (analytic) = 4.978878517235583 " " y[1] (numeric) = 4.978878517235698 " " absolute error = 1.14575016141316150000000000000E-13 " " relative error = 2.3012213643029694000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.381999999999969 " " y[1] (analytic) = 4.982859385855389 " " y[1] (numeric) = 4.982859385855504 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 2.3172075633676573000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.382999999999969 " " y[1] (analytic) = 4.986844237334912 " " y[1] (numeric) = 4.986844237335029 " " absolute error = 1.1635137298071640000000000000E-13 " " relative error = 2.3331663762351104000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.3839999999999688 " " y[1] (analytic) = 4.9908330756590065 " " y[1] (numeric) = 4.990833075659123 " " absolute error = 1.1635137298071640000000000000E-13 " " relative error = 2.331301632751020800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3849999999999687 " " y[1] (analytic) = 4.994825904816508 " " y[1] (numeric) = 4.994825904816625 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 2.3472199759227344000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3859999999999686 " " y[1] (analytic) = 4.998822728800247 " " y[1] (numeric) = 4.998822728800365 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 2.3453432490204518000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3869999999999685 " " y[1] (analytic) = 5.002823551607048 " " y[1] (numeric) = 5.002823551607166 " " absolute error = 1.18127729820116660000000000000E-13 " " relative error = 2.361221190424969000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.3879999999999684 " " y[1] (analytic) = 5.006828377237735 " " y[1] (numeric) = 5.006828377237853 " " absolute error = 1.18127729820116660000000000000E-13 " " relative error = 2.3593325139154794000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.3889999999999683 " " y[1] (analytic) = 5.010837209697132 " " y[1] (numeric) = 5.010837209697251 " " absolute error = 1.19015908239816780000000000000E-13 " " relative error = 2.3751701214618068000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.3899999999999681 " " y[1] (analytic) = 5.014850052994074 " " y[1] (numeric) = 5.014850052994193 " " absolute error = 1.19015908239816780000000000000E-13 " " relative error = 2.3732695291409425000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.93518539854566600000000E-8 " " Order of pole = 0.4999999999929745 " " x[1] = 1.390999999999968 " " y[1] (analytic) = 5.018866911141403 " " y[1] (numeric) = 5.018866911141523 " " absolute error = 1.1990408665951690000000000000E-13 " " relative error = 2.389066870718195800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.391999999999968 " " y[1] (analytic) = 5.022887788155979 " " y[1] (numeric) = 5.0228877881560985 " " absolute error = 1.1990408665951690000000000000E-13 " " relative error = 2.3871543963664085000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.3929999999999678 " " y[1] (analytic) = 5.026912688058677 " " y[1] (numeric) = 5.026912688058798 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 2.40291153984346000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3939999999999677 " " y[1] (analytic) = 5.030941614874399 " " y[1] (numeric) = 5.0309416148745205 " " absolute error = 1.21680443498917160000000000000E-13 " " relative error = 2.4186415349993085000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.3949999999999676 " " y[1] (analytic) = 5.0349745726320725 " " y[1] (numeric) = 5.034974572632194 " " absolute error = 1.21680443498917160000000000000E-13 " " relative error = 2.416704230450715800000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.3959999999999675 " " y[1] (analytic) = 5.039011565364654 " " y[1] (numeric) = 5.039011565364777 " " absolute error = 1.22568621918617280000000000000E-13 " " relative error = 2.4323941377925265000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.3969999999999674 " " y[1] (analytic) = 5.043052597109138 " " y[1] (numeric) = 5.043052597109261 " " absolute error = 1.2345680033831741000000000000E-13 " " relative error = 2.4480569647258363000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.98387125794558300000000E-8 " " Order of pole = 0.49999999997304023 " " x[1] = 1.3979999999999673 " " y[1] (analytic) = 5.047097671906555 " " y[1] (numeric) = 5.04709767190668 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 2.4636927367218130000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.3989999999999672 " " y[1] (analytic) = 5.0511467938019825 " " y[1] (numeric) = 5.051146793802107 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 2.4617177808135615000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.399999999999967 " " y[1] (analytic) = 5.055199966844541 " " y[1] (numeric) = 5.055199966844666 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 2.459744017517743200000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.400999999999967 " " y[1] (analytic) = 5.059257195087405 " " y[1] (numeric) = 5.05925719508753 " " absolute error = 1.25233157177717660000000000000E-13 " " relative error = 2.475326957074261100000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4019999999999668 " " y[1] (analytic) = 5.063318482587800 " " y[1] (numeric) = 5.063318482587927 " " absolute error = 1.26121335597417780000000000000E-13 " " relative error = 2.4908829265063076000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4029999999999667 " " y[1] (analytic) = 5.0673838334070185 " " y[1] (numeric) = 5.067383833407145 " " absolute error = 1.26121335597417780000000000000E-13 " " relative error = 2.4888845949650715000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4039999999999666 " " y[1] (analytic) = 5.071453251610408 " " y[1] (numeric) = 5.071453251610535 " " absolute error = 1.2700951401711790000000000000E-13 " " relative error = 2.5044007647470046000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4049999999999665 " " y[1] (analytic) = 5.07552674126739 " " y[1] (numeric) = 5.075526741267517 " " absolute error = 1.2700951401711790000000000000E-13 " " relative error = 2.5023907959039315000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.93518539854566600000000E-8 " " Order of pole = 0.4999999999929745 " " x[1] = 1.4059999999999664 " " y[1] (analytic) = 5.079604306451452 " " y[1] (numeric) = 5.0796043064515795 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 2.517867233760296000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4069999999999663 " " y[1] (analytic) = 5.0836859512401595 " " y[1] (numeric) = 5.083685951240288 " " absolute error = 1.28785870856518160000000000000E-13 " " relative error = 2.5333168116944950000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4079999999999662 " " y[1] (analytic) = 5.08777167971516 " " y[1] (numeric) = 5.0877716797152885 " " absolute error = 1.28785870856518160000000000000E-13 " " relative error = 2.531282434901408000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.408999999999966 " " y[1] (analytic) = 5.0918614959621795 " " y[1] (numeric) = 5.091861495962310 " " absolute error = 1.29674049276218280000000000000E-13 " " relative error = 2.5466923909664310000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.409999999999966 " " y[1] (analytic) = 5.095955404071037 " " y[1] (numeric) = 5.095955404071167 " " absolute error = 1.29674049276218280000000000000E-13 " " relative error = 2.5446464694848936000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4109999999999658 " " y[1] (analytic) = 5.100053408135639 " " y[1] (numeric) = 5.10005340813577 " " absolute error = 1.3056222769591840000000000000E-13 " " relative error = 2.5600168713457916000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621641900000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4119999999999657 " " y[1] (analytic) = 5.104155512253992 " " y[1] (numeric) = 5.104155512254122 " " absolute error = 1.3056222769591840000000000000E-13 " " relative error = 2.5579594387840704000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.4129999999999656 " " y[1] (analytic) = 5.108261720528199 " " y[1] (numeric) = 5.108261720528330 " " absolute error = 1.3056222769591840000000000000E-13 " " relative error = 2.5559032570950213000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4139999999999655 " " y[1] (analytic) = 5.112372037064468 " " y[1] (numeric) = 5.112372037064599 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 2.5712214440304615000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4149999999999654 " " y[1] (analytic) = 5.116486465973117 " " y[1] (numeric) = 5.1164864659732485 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 2.5691537931317027000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4159999999999653 " " y[1] (analytic) = 5.120605011368576 " " y[1] (numeric) = 5.120605011368707 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 2.567087401269523000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4169999999999652 " " y[1] (analytic) = 5.124727677369388 " " y[1] (numeric) = 5.1247276773695205 " " absolute error = 1.32338584535318660000000000000E-13 " " relative error = 2.5823534998692915000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.417999999999965 " " y[1] (analytic) = 5.128854468098223 " " y[1] (numeric) = 5.128854468098355 " " absolute error = 1.32338584535318660000000000000E-13 " " relative error = 2.5802756806314636000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.418999999999965 " " y[1] (analytic) = 5.1329853876818685 " " y[1] (numeric) = 5.132985387682002 " " absolute error = 1.33226762955018780000000000000E-13 " " relative error = 2.5955024784355746000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4199999999999648 " " y[1] (analytic) = 5.137120440251247 " " y[1] (numeric) = 5.137120440251380 " " absolute error = 1.33226762955018780000000000000E-13 " " relative error = 2.5934132653604460000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4209999999999647 " " y[1] (analytic) = 5.141259629941410 " " y[1] (numeric) = 5.141259629941545 " " absolute error = 1.3411494137471890000000000000E-13 " " relative error = 2.6086008299146580000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4219999999999646 " " y[1] (analytic) = 5.145402960891550 " " y[1] (numeric) = 5.145402960891684 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 2.623761847624601000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4229999999999645 " " y[1] (analytic) = 5.149550437244994 " " y[1] (numeric) = 5.1495504372451295 " " absolute error = 1.35891298214119160000000000000E-13 " " relative error = 2.638896343868435400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4239999999999644 " " y[1] (analytic) = 5.153702063149222 " " y[1] (numeric) = 5.153702063149358 " " absolute error = 1.35891298214119160000000000000E-13 " " relative error = 2.63677054957813000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4249999999999643 " " y[1] (analytic) = 5.157857842755859 " " y[1] (numeric) = 5.157857842755996 " " absolute error = 1.36779476633819290000000000000E-13 " " relative error = 2.651865964586911000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4259999999999642 " " y[1] (analytic) = 5.162017780220685 " " y[1] (numeric) = 5.162017780220823 " " absolute error = 1.3766765505351940000000000000E-13 " " relative error = 2.6669349257381650000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.426999999999964 " " y[1] (analytic) = 5.166181879703639 " " y[1] (numeric) = 5.166181879703776 " " absolute error = 1.3766765505351940000000000000E-13 " " relative error = 2.6647852951978684000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.427999999999964 " " y[1] (analytic) = 5.170350145368820 " " y[1] (numeric) = 5.170350145368957 " " absolute error = 1.3766765505351940000000000000E-13 " " relative error = 2.6626369816912870000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4289999999999639 " " y[1] (analytic) = 5.174522581384492 " " y[1] (numeric) = 5.174522581384630 " " absolute error = 1.38555833473219540000000000000E-13 " " relative error = 2.6776544365982385000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4299999999999637 " " y[1] (analytic) = 5.178699191923094 " " y[1] (numeric) = 5.178699191923234 " " absolute error = 1.39444011892919660000000000000E-13 " " relative error = 2.692645522072456000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4309999999999636 " " y[1] (analytic) = 5.182879981161237 " " y[1] (numeric) = 5.182879981161377 " " absolute error = 1.39444011892919660000000000000E-13 " " relative error = 2.690473489638417000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4319999999999635 " " y[1] (analytic) = 5.18706495327971 " " y[1] (numeric) = 5.18706495327985 " " absolute error = 1.40332190312619800000000000000E-13 " " relative error = 2.7054257383819663000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4329999999999634 " " y[1] (analytic) = 5.191254112463485 " " y[1] (numeric) = 5.191254112463625 " " absolute error = 1.40332190312619800000000000000E-13 " " relative error = 2.70324255512173000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4339999999999633 " " y[1] (analytic) = 5.19544746290172 " " y[1] (numeric) = 5.195447462901861 " " absolute error = 1.4122036873231990000000000000E-13 " " relative error = 2.7181560345034580000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.4349999999999632 " " y[1] (analytic) = 5.199645008787769 " " y[1] (numeric) = 5.199645008787911 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 2.733043254142283300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.435999999999963 " " y[1] (analytic) = 5.203846754319176 " " y[1] (numeric) = 5.203846754319320 " " absolute error = 1.42996725571720160000000000000E-13 " " relative error = 2.7479042393597264000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.436999999999963 " " y[1] (analytic) = 5.208052703697689 " " y[1] (numeric) = 5.208052703697832 " " absolute error = 1.42996725571720160000000000000E-13 " " relative error = 2.7456850709324290000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4379999999999629 " " y[1] (analytic) = 5.212262861129256 " " y[1] (numeric) = 5.212262861129399 " " absolute error = 1.42996725571720160000000000000E-13 " " relative error = 2.7434672690459705000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4389999999999628 " " y[1] (analytic) = 5.216477230824034 " " y[1] (numeric) = 5.216477230824178 " " absolute error = 1.4388490399142030000000000000E-13 " " relative error = 2.7582772362391994000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.4399999999999626 " " y[1] (analytic) = 5.220695816996395 " " y[1] (numeric) = 5.220695816996539 " " absolute error = 1.4388490399142030000000000000E-13 " " relative error = 2.7560484087770720000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.4409999999999625 " " y[1] (analytic) = 5.224918623864925 " " y[1] (numeric) = 5.2249186238650696 " " absolute error = 1.44773082411120400000000000000E-13 " " relative error = 2.770819850664589000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4419999999999624 " " y[1] (analytic) = 5.22914565565243 " " y[1] (numeric) = 5.229145655652576 " " absolute error = 1.45661260830820540000000000000E-13 " " relative error = 2.785565184503293000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4429999999999623 " " y[1] (analytic) = 5.233376916585944 " " y[1] (numeric) = 5.23337691658609 " " absolute error = 1.46549439250520660000000000000E-13 " " relative error = 2.800284435582445000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4439999999999622 " " y[1] (analytic) = 5.237612410896727 " " y[1] (numeric) = 5.237612410896874 " " absolute error = 1.4743761767022080000000000000E-13 " " relative error = 2.8149776291861606000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.444999999999962 " " y[1] (analytic) = 5.2418521428202745 " " y[1] (numeric) = 5.241852142820422 " " absolute error = 1.4743761767022080000000000000E-13 " " relative error = 2.8127008098113754000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.445999999999962 " " y[1] (analytic) = 5.246096116596317 " " y[1] (numeric) = 5.2460961165964655 " " absolute error = 1.48325796089920900000000000000E-13 " " relative error = 2.8273556715951886000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4469999999999619 " " y[1] (analytic) = 5.250344336468832 " " y[1] (numeric) = 5.25034433646898 " " absolute error = 1.48325796089920900000000000000E-13 " " relative error = 2.8250679685835395000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4479999999999618 " " y[1] (analytic) = 5.254596806686036 " " y[1] (numeric) = 5.254596806686185 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 2.839684565707472000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342820800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.4489999999999617 " " y[1] (analytic) = 5.258853531500401 " " y[1] (numeric) = 5.258853531500551 " " absolute error = 1.50102152929321160000000000000E-13 " " relative error = 2.8542752147442974000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.4499999999999615 " " y[1] (analytic) = 5.263114515168653 " " y[1] (numeric) = 5.263114515168804 " " absolute error = 1.5099033134902130000000000000E-13 " " relative error = 2.8688399409485943000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4509999999999614 " " y[1] (analytic) = 5.267379761951776 " " y[1] (numeric) = 5.267379761951927 " " absolute error = 1.5099033134902130000000000000E-13 " " relative error = 2.8665169054200357000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4519999999999613 " " y[1] (analytic) = 5.271649276115016 " " y[1] (numeric) = 5.271649276115168 " " absolute error = 1.51878509768721410000000000000E-13 " " relative error = 2.8810435181425703000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.4529999999999612 " " y[1] (analytic) = 5.275923061927888 " " y[1] (numeric) = 5.275923061928041 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 2.895544275291207000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.453999999999961 " " y[1] (analytic) = 5.280201123664178 " " y[1] (numeric) = 5.280201123664332 " " absolute error = 1.53654866608121670000000000000E-13 " " relative error = 2.9100192020998883000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.454999999999961 " " y[1] (analytic) = 5.28448346560195 " " y[1] (numeric) = 5.284483465602103 " " absolute error = 1.53654866608121670000000000000E-13 " " relative error = 2.9076610345798290000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4559999999999609 " " y[1] (analytic) = 5.288770092023543 " " y[1] (numeric) = 5.2887700920236975 " " absolute error = 1.5454304502782180000000000000E-13 " " relative error = 2.9220979989450035000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.4569999999999608 " " y[1] (analytic) = 5.293061007215585 " " y[1] (numeric) = 5.293061007215740 " " absolute error = 1.55431223447521920000000000000E-13 " " relative error = 2.9365092001704796000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4579999999999607 " " y[1] (analytic) = 5.2973562154689935 " " y[1] (numeric) = 5.297356215469149 " " absolute error = 1.55431223447521920000000000000E-13 " " relative error = 2.934128216517549000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4589999999999606 " " y[1] (analytic) = 5.3016557210789745 " " y[1] (numeric) = 5.301655721079130 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 2.94850156425111030000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4599999999999604 " " y[1] (analytic) = 5.305959528345036 " " y[1] (numeric) = 5.305959528345192 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 2.9461099548940417000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.4609999999999603 " " y[1] (analytic) = 5.3102676415709835 " " y[1] (numeric) = 5.310267641571140 " " absolute error = 1.57207580286922170000000000000E-13 " " relative error = 2.960445516083518000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4619999999999602 " " y[1] (analytic) = 5.314580065064932 " " y[1] (numeric) = 5.3145800650650905 " " absolute error = 1.5809575870662230000000000000E-13 " " relative error = 2.9747554232149986000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.46299999999996 " " y[1] (analytic) = 5.318896803139306 " " y[1] (numeric) = 5.318896803139465 " " absolute error = 1.58983937126322420000000000000E-13 " " relative error = 2.989039701475074700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.98387125794702400000000E-8 " " Order of pole = 0.49999999997304023 " " x[1] = 1.46399999999996 " " y[1] (analytic) = 5.323217860110843 " " y[1] (numeric) = 5.323217860111002 " " absolute error = 1.58983937126322420000000000000E-13 " " relative error = 2.986613385066528000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.46499999999996 " " y[1] (analytic) = 5.327543240300600 " " y[1] (numeric) = 5.327543240300760 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 3.0008600275011940000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.4659999999999598 " " y[1] (analytic) = 5.331872948033958 " " y[1] (numeric) = 5.331872948034118 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 2.9984232014563060000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4669999999999597 " " y[1] (analytic) = 5.336206987640624 " " y[1] (numeric) = 5.336206987640785 " " absolute error = 1.60760293965722670000000000000E-13 " " relative error = 3.012632274911097000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4679999999999596 " " y[1] (analytic) = 5.34054536345464 " " y[1] (numeric) = 5.340545363454801 " " absolute error = 1.60760293965722670000000000000E-13 " " relative error = 3.0101849722278480000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4689999999999594 " " y[1] (analytic) = 5.344888079814381 " " y[1] (numeric) = 5.344888079814543 " " absolute error = 1.6164847238542280000000000000E-13 " " relative error = 3.024356543515062000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4699999999999593 " " y[1] (analytic) = 5.3492351410625645 " " y[1] (numeric) = 5.349235141062726 " " absolute error = 1.6164847238542280000000000000E-13 " " relative error = 3.021898797167349000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4709999999999592 " " y[1] (analytic) = 5.35358655154625 " " y[1] (numeric) = 5.353586551546413 " " absolute error = 1.62536650805122920000000000000E-13 " " relative error = 3.0360329330657454000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4719999999999591 " " y[1] (analytic) = 5.357942315616851 " " y[1] (numeric) = 5.357942315617015 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 3.0501416327026690000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.472999999999959 " " y[1] (analytic) = 5.362302437630131 " " y[1] (numeric) = 5.362302437630295 " " absolute error = 1.64313007644523170000000000000E-13 " " relative error = 3.0642249212101746000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.473999999999959 " " y[1] (analytic) = 5.366666921946211 " " y[1] (numeric) = 5.3666669219463765 " " absolute error = 1.6520118606422330000000000000E-13 " " relative error = 3.0782828237142285000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.4749999999999588 " " y[1] (analytic) = 5.371035772929578 " " y[1] (numeric) = 5.371035772929743 " " absolute error = 1.6520118606422330000000000000E-13 " " relative error = 3.075778919530747000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4759999999999587 " " y[1] (analytic) = 5.3754089949490815 " " y[1] (numeric) = 5.375408994949248 " " absolute error = 1.66089364483923420000000000000E-13 " " relative error = 3.089799578785292000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4769999999999586 " " y[1] (analytic) = 5.379786592377945 " " y[1] (numeric) = 5.379786592378111 " " absolute error = 1.66089364483923420000000000000E-13 " " relative error = 3.087285371491092000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4779999999999585 " " y[1] (analytic) = 5.384168569593766 " " y[1] (numeric) = 5.384168569593933 " " absolute error = 1.66977542903623540000000000000E-13 " " relative error = 3.1012688541477434000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4789999999999583 " " y[1] (analytic) = 5.388554930978521 " " y[1] (numeric) = 5.388554930978689 " " absolute error = 1.67865721323323670000000000000E-13 " " relative error = 3.115227059452849000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4799999999999582 " " y[1] (analytic) = 5.392945680918573 " " y[1] (numeric) = 5.392945680918742 " " absolute error = 1.6875389974302380000000000000E-13 " " relative error = 3.129160012497663000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4809999999999581 " " y[1] (analytic) = 5.397340823804672 " " y[1] (numeric) = 5.397340823804842 " " absolute error = 1.69642078162723920000000000000E-13 " " relative error = 3.1430677383671407000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.481999999999958 " " y[1] (analytic) = 5.401740364031962 " " y[1] (numeric) = 5.401740364032132 " " absolute error = 1.69642078162723920000000000000E-13 " " relative error = 3.1405078128579256000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.185696045087012000000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.482999999999958 " " y[1] (analytic) = 5.406144305999982 " " y[1] (numeric) = 5.406144306000153 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 3.1543785539198776000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.4839999999999578 " " y[1] (analytic) = 5.410552654112676 " " y[1] (numeric) = 5.410552654112847 " " absolute error = 1.70530256582424040000000000000E-13 " " relative error = 3.1518084654956713000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508902740000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.4849999999999577 " " y[1] (analytic) = 5.414965412778390 " " y[1] (numeric) = 5.414965412778562 " " absolute error = 1.71418435002124170000000000000E-13 " " relative error = 3.165642288270319000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4859999999999576 " " y[1] (analytic) = 5.419382586409887 " " y[1] (numeric) = 5.419382586410059 " " absolute error = 1.7230661342182430000000000000E-13 " " relative error = 3.1794509923310320000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.4869999999999575 " " y[1] (analytic) = 5.423804179424337 " " y[1] (numeric) = 5.42380417942451 " " absolute error = 1.73194791841524420000000000000E-13 " " relative error = 3.193234602726876000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.4879999999999574 " " y[1] (analytic) = 5.428230196243336 " " y[1] (numeric) = 5.4282301962435096 " " absolute error = 1.73194791841524420000000000000E-13 " " relative error = 3.190630934579482000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4889999999999572 " " y[1] (analytic) = 5.4326606412929 " " y[1] (numeric) = 5.432660641293074 " " absolute error = 1.74082970261224550000000000000E-13 " " relative error = 3.2043777764810866000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.4899999999999571 " " y[1] (analytic) = 5.437095519003474 " " y[1] (numeric) = 5.437095519003650 " " absolute error = 1.74971148680924670000000000000E-13 " " relative error = 3.2180995913971705000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.490999999999957 " " y[1] (analytic) = 5.441534833809937 " " y[1] (numeric) = 5.441534833810113 " " absolute error = 1.7585932710062480000000000000E-13 " " relative error = 3.2317964043518840000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.491999999999957 " " y[1] (analytic) = 5.445978590151605 " " y[1] (numeric) = 5.445978590151781 " " absolute error = 1.7585932710062480000000000000E-13 " " relative error = 3.2291593547327780000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.4929999999999568 " " y[1] (analytic) = 5.450426792472233 " " y[1] (numeric) = 5.45042679247241 " " absolute error = 1.76747505520324920000000000000E-13 " " relative error = 3.2428195488183936000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4939999999999567 " " y[1] (analytic) = 5.454879445220024 " " y[1] (numeric) = 5.454879445220201 " " absolute error = 1.76747505520324920000000000000E-13 " " relative error = 3.2401725335140885000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.4949999999999566 " " y[1] (analytic) = 5.459336552847632 " " y[1] (numeric) = 5.45933655284781 " " absolute error = 1.77635683940025050000000000000E-13 " " relative error = 3.253796175056636000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.4959999999999565 " " y[1] (analytic) = 5.463798119812164 " " y[1] (numeric) = 5.463798119812343 " " absolute error = 1.78523862359725170000000000000E-13 " " relative error = 3.267394922817216000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.4969999999999564 " " y[1] (analytic) = 5.468264150575188 " " y[1] (numeric) = 5.468264150575368 " " absolute error = 1.7941204077942530000000000000E-13 " " relative error = 3.2809688017824370000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.4979999999999563 " " y[1] (analytic) = 5.472734649602735 " " y[1] (numeric) = 5.4727346496029154 " " absolute error = 1.80300219199125420000000000000E-13 " " relative error = 3.2945178369320970000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.4989999999999561 " " y[1] (analytic) = 5.477209621365304 " " y[1] (numeric) = 5.4772096213654855 " " absolute error = 1.81188397618825550000000000000E-13 " " relative error = 3.3080420532391586000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.499999999999956 " " y[1] (analytic) = 5.481689070337867 " " y[1] (numeric) = 5.481689070338050 " " absolute error = 1.82076576038525670000000000000E-13 " " relative error = 3.3215414756697115000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.500999999999956 " " y[1] (analytic) = 5.486173000999876 " " y[1] (numeric) = 5.486173001000058 " " absolute error = 1.82076576038525670000000000000E-13 " " relative error = 3.31882673049759000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5019999999999558 " " y[1] (analytic) = 5.490661417835257 " " y[1] (numeric) = 5.490661417835441 " " absolute error = 1.83852932877925920000000000000E-13 " " relative error = 3.3484660387311155000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5029999999999557 " " y[1] (analytic) = 5.495154325332432 " " y[1] (numeric) = 5.495154325332616 " " absolute error = 1.83852932877925920000000000000E-13 " " relative error = 3.345728290657307700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5039999999999556 " " y[1] (analytic) = 5.499651727984307 " " y[1] (numeric) = 5.499651727984491 " " absolute error = 1.84741111297626050000000000000E-13 " " relative error = 3.3591420045308223000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5049999999999555 " " y[1] (analytic) = 5.504153630288283 " " y[1] (numeric) = 5.504153630288469 " " absolute error = 1.85629289717326170000000000000E-13 " " relative error = 3.3725310408460335000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5059999999999554 " " y[1] (analytic) = 5.508660036746266 " " y[1] (numeric) = 5.508660036746453 " " absolute error = 1.8651746813702630000000000000E-13 " " relative error = 3.3858954245285816000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5069999999999553 " " y[1] (analytic) = 5.513170951864662 " " y[1] (numeric) = 5.513170951864849 " " absolute error = 1.8651746813702630000000000000E-13 " " relative error = 3.383125061158178700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5079999999999552 " " y[1] (analytic) = 5.517686380154386 " " y[1] (numeric) = 5.517686380154573 " " absolute error = 1.87405646556726420000000000000E-13 " " relative error = 3.3964533981266765000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.508999999999955 " " y[1] (analytic) = 5.522206326130865 " " y[1] (numeric) = 5.5222063261310534 " " absolute error = 1.88293824976426550000000000000E-13 " " relative error = 3.4097571487944500000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.509999999999955 " " y[1] (analytic) = 5.526730794314048 " " y[1] (numeric) = 5.526730794314237 " " absolute error = 1.89182003396126670000000000000E-13 " " relative error = 3.4230363380600853000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5109999999999548 " " y[1] (analytic) = 5.531259789228403 " " y[1] (numeric) = 5.531259789228592 " " absolute error = 1.89182003396126670000000000000E-13 " " relative error = 3.420233556278453000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5119999999999547 " " y[1] (analytic) = 5.535793315402924 " " y[1] (numeric) = 5.535793315403114 " " absolute error = 1.9007018181582680000000000000E-13 " " relative error = 3.4334768476086520000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5129999999999546 " " y[1] (analytic) = 5.540331377371139 " " y[1] (numeric) = 5.54033137737133 " " absolute error = 1.90958360235526920000000000000E-13 " " relative error = 3.446695643792624000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5139999999999545 " " y[1] (analytic) = 5.5448739796711095 " " y[1] (numeric) = 5.544873979671301 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 3.4598899697014630000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5149999999999544 " " y[1] (analytic) = 5.549421126845438 " " y[1] (numeric) = 5.549421126845630 " " absolute error = 1.92734717074927180000000000000E-13 " " relative error = 3.4730598501989524000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5159999999999543 " " y[1] (analytic) = 5.553972823441272 " " y[1] (numeric) = 5.553972823441466 " " absolute error = 1.9362289549462730000000000000E-13 " " relative error = 3.4862053101415336000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5169999999999542 " " y[1] (analytic) = 5.558529074010310 " " y[1] (numeric) = 5.5585290740105044 " " absolute error = 1.9362289549462730000000000000E-13 " " relative error = 3.4833477151345410000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.517999999999954 " " y[1] (analytic) = 5.563089883108802 " " y[1] (numeric) = 5.563089883108997 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 3.5124230677508533000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.518999999999954 " " y[1] (analytic) = 5.567655255297558 " " y[1] (numeric) = 5.567655255297753 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 3.5095429471519000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5199999999999538 " " y[1] (analytic) = 5.572225195141948 " " y[1] (numeric) = 5.572225195142145 " " absolute error = 1.96287430753727680000000000000E-13 " " relative error = 3.522604056362575000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5209999999999537 " " y[1] (analytic) = 5.576799707211915 " " y[1] (numeric) = 5.576799707212112 " " absolute error = 1.9717560917342780000000000000E-13 " " relative error = 3.535640860804815700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5219999999999536 " " y[1] (analytic) = 5.581378796081971 " " y[1] (numeric) = 5.581378796082169 " " absolute error = 1.98063787593127930000000000000E-13 " " relative error = 3.548653385291914000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.5229999999999535 " " y[1] (analytic) = 5.585962466331204 " " y[1] (numeric) = 5.585962466331403 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 3.5616416546296165000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5239999999999534 " " y[1] (analytic) = 5.590550722543287 " " y[1] (numeric) = 5.590550722543486 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 3.558718557200025000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.5249999999999533 " " y[1] (analytic) = 5.595143569306473 " " y[1] (numeric) = 5.595143569306674 " " absolute error = 2.0072832285222830000000000000E-13 " " relative error = 3.587545527041925000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5259999999999532 " " y[1] (analytic) = 5.599741011213613 " " y[1] (numeric) = 5.599741011213814 " " absolute error = 2.0072832285222830000000000000E-13 " " relative error = 3.5846001172244420000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.526999999999953 " " y[1] (analytic) = 5.604343052862147 " " y[1] (numeric) = 5.604343052862348 " " absolute error = 2.01616501271928430000000000000E-13 " " relative error = 3.5975046382816017000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.527999999999953 " " y[1] (analytic) = 5.608949698854118 " " y[1] (numeric) = 5.608949698854320 " " absolute error = 2.01616501271928430000000000000E-13 " " relative error = 3.594549997713792000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.5289999999999528 " " y[1] (analytic) = 5.613560953796170 " " y[1] (numeric) = 5.613560953796373 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 3.6074192719807335000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5299999999999527 " " y[1] (analytic) = 5.618176822299563 " " y[1] (numeric) = 5.618176822299765 " " absolute error = 2.02504679691628550000000000000E-13 " " relative error = 3.6044554327277620000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5309999999999526 " " y[1] (analytic) = 5.622797308980162 " " y[1] (numeric) = 5.622797308980365 " " absolute error = 2.03392858111328680000000000000E-13 " " relative error = 3.617289525739977000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5319999999999525 " " y[1] (analytic) = 5.627422418458455 " " y[1] (numeric) = 5.627422418458659 " " absolute error = 2.0428103653102880000000000000E-13 " " relative error = 3.630099561407875000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5329999999999524 " " y[1] (analytic) = 5.632052155359552 " " y[1] (numeric) = 5.632052155359757 " " absolute error = 2.05169214950728930000000000000E-13 " " relative error = 3.6428855644649280000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5339999999999523 " " y[1] (analytic) = 5.63668652431319 " " y[1] (numeric) = 5.636686524313396 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 3.655647559636756600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5349999999999522 " " y[1] (analytic) = 5.641325529953739 " " y[1] (numeric) = 5.641325529953947 " " absolute error = 2.0783375020982930000000000000E-13 " " relative error = 3.684129715725404000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.535999999999952 " " y[1] (analytic) = 5.645969176920205 " " y[1] (numeric) = 5.6459691769204134 " " absolute error = 2.08721928629529430000000000000E-13 " " relative error = 3.6968308201672520000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.536999999999952 " " y[1] (analytic) = 5.650617469856235 " " y[1] (numeric) = 5.650617469856444 " " absolute error = 2.08721928629529430000000000000E-13 " " relative error = 3.6937897449787876000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5379999999999519 " " y[1] (analytic) = 5.655270413410122 " " y[1] (numeric) = 5.655270413410332 " " absolute error = 2.10498285468929680000000000000E-13 " " relative error = 3.7221612775541785000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5389999999999517 " " y[1] (analytic) = 5.659928012234811 " " y[1] (numeric) = 5.659928012235022 " " absolute error = 2.10498285468929680000000000000E-13 " " relative error = 3.719098282061274000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.5399999999999516 " " y[1] (analytic) = 5.6645902709879 " " y[1] (numeric) = 5.6645902709881115 " " absolute error = 2.1138646388862980000000000000E-13 " " relative error = 3.731716748716658000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.5409999999999515 " " y[1] (analytic) = 5.669257194331650 " " y[1] (numeric) = 5.669257194331860 " " absolute error = 2.1138646388862980000000000000E-13 " " relative error = 3.728644805530828000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5419999999999514 " " y[1] (analytic) = 5.673928786932982 " " y[1] (numeric) = 5.673928786933194 " " absolute error = 2.12274642308329930000000000000E-13 " " relative error = 3.741228525765021000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5429999999999513 " " y[1] (analytic) = 5.678605053463490 " " y[1] (numeric) = 5.678605053463704 " " absolute error = 2.13162820728030060000000000000E-13 " " relative error = 3.753788451937117000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5439999999999512 " " y[1] (analytic) = 5.683285998599443 " " y[1] (numeric) = 5.683285998599657 " " absolute error = 2.14050999147730180000000000000E-13 " " relative error = 3.766324608694331400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.544999999999951 " " y[1] (analytic) = 5.687971627021784 " " y[1] (numeric) = 5.687971627021999 " " absolute error = 2.1493917756743030000000000000E-13 " " relative error = 3.778837020675720500000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.545999999999951 " " y[1] (analytic) = 5.692661943416143 " " y[1] (numeric) = 5.692661943416359 " " absolute error = 2.15827355987130430000000000000E-13 " " relative error = 3.791325712512156300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5469999999999509 " " y[1] (analytic) = 5.697356952472836 " " y[1] (numeric) = 5.6973569524730525 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 3.8037907088262923000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.5479999999999507 " " y[1] (analytic) = 5.702056658886873 " " y[1] (numeric) = 5.7020566588870905 " " absolute error = 2.17603712826530680000000000000E-13 " " relative error = 3.816232034232543000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5489999999999506 " " y[1] (analytic) = 5.706761067357961 " " y[1] (numeric) = 5.706761067358179 " " absolute error = 2.17603712826530680000000000000E-13 " " relative error = 3.813086096616165000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5499999999999505 " " y[1] (analytic) = 5.711470182590508 " " y[1] (numeric) = 5.711470182590727 " " absolute error = 2.1849189124623080000000000000E-13 " " relative error = 3.825492986240735000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5509999999999504 " " y[1] (analytic) = 5.716184009293631 " " y[1] (numeric) = 5.71618400929385 " " absolute error = 2.19380069665930930000000000000E-13 " " relative error = 3.8378762704148933000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5519999999999503 " " y[1] (analytic) = 5.720902552181156 " " y[1] (numeric) = 5.720902552181376 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 3.850235973721513600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5529999999999502 " " y[1] (analytic) = 5.725625815971626 " " y[1] (numeric) = 5.725625815971847 " " absolute error = 2.21156426505331180000000000000E-13 " " relative error = 3.8625721207350927000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.55399999999995 " " y[1] (analytic) = 5.730353805388307 " " y[1] (numeric) = 5.730353805388528 " " absolute error = 2.21156426505331180000000000000E-13 " " relative error = 3.859385197077634000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.55499999999995 " " y[1] (analytic) = 5.735086525159186 " " y[1] (numeric) = 5.735086525159410 " " absolute error = 2.22932783344731430000000000000E-13 " " relative error = 3.887173844139057000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5559999999999499 " " y[1] (analytic) = 5.739823980016986 " " y[1] (numeric) = 5.73982398001721 " " absolute error = 2.23820961764431560000000000000E-13 " " relative error = 3.8994394696363005000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.525926664621696000000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.5569999999999498 " " y[1] (analytic) = 5.744566174699160 " " y[1] (numeric) = 5.7445661746993855 " " absolute error = 2.24709140184131680000000000000E-13 " " relative error = 3.9116816370541600000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5579999999999496 " " y[1] (analytic) = 5.749313113947906 " " y[1] (numeric) = 5.749313113948130 " " absolute error = 2.24709140184131680000000000000E-13 " " relative error = 3.908451944267646300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5589999999999495 " " y[1] (analytic) = 5.75406480251016 " " y[1] (numeric) = 5.754064802510386 " " absolute error = 2.2559731860383180000000000000E-13 " " relative error = 3.920660026376779400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5599999999999494 " " y[1] (analytic) = 5.7588212451376135 " " y[1] (numeric) = 5.75882124513784 " " absolute error = 2.26485497023531930000000000000E-13 " " relative error = 3.932844715657081000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5609999999999493 " " y[1] (analytic) = 5.7635824465867085 " " y[1] (numeric) = 5.763582446586936 " " absolute error = 2.27373675443232060000000000000E-13 " " relative error = 3.945006036616802700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5619999999999492 " " y[1] (analytic) = 5.768348411618646 " " y[1] (numeric) = 5.7683484116188755 " " absolute error = 2.2915003228263230000000000000E-13 " " relative error = 3.972541461279918000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.562999999999949 " " y[1] (analytic) = 5.773119144999394 " " y[1] (numeric) = 5.773119144999623 " " absolute error = 2.2915003228263230000000000000E-13 " " relative error = 3.969258671564388000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.563999999999949 " " y[1] (analytic) = 5.777894651499684 " " y[1] (numeric) = 5.777894651499914 " " absolute error = 2.30038210702332440000000000000E-13 " " relative error = 3.981350034525547000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5649999999999489 " " y[1] (analytic) = 5.782674935895024 " " y[1] (numeric) = 5.782674935895255 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 3.993418127112665000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.810258239435212400000000E-8 " " Order of pole = 0.4999999999972502 " " x[1] = 1.5659999999999488 " " y[1] (analytic) = 5.787460002965698 " " y[1] (numeric) = 5.78746000296593 " " absolute error = 2.3181456754173269000000000000E-13 " " relative error = 4.005462973790622000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5669999999999487 " " y[1] (analytic) = 5.792249857496774 " " y[1] (numeric) = 5.792249857497007 " " absolute error = 2.3270274596143280000000000000E-13 " " relative error = 4.017484599015545600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5679999999999485 " " y[1] (analytic) = 5.797044504278108 " " y[1] (numeric) = 5.7970445042783405 " " absolute error = 2.3270274596143280000000000000E-13 " " relative error = 4.014161798994343400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5689999999999484 " " y[1] (analytic) = 5.801843948104344 " " y[1] (numeric) = 5.801843948104579 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 4.041458282886860600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.81025823943477600000000E-8 " " Order of pole = 0.4999999999972502 " " x[1] = 1.5699999999999483 " " y[1] (analytic) = 5.8066481937749295 " " y[1] (numeric) = 5.806648193775165 " " absolute error = 2.3536728122053320000000000000E-13 " " relative error = 4.053410390401485700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5709999999999482 " " y[1] (analytic) = 5.811457246094110 " " y[1] (numeric) = 5.811457246094346 " " absolute error = 2.3625545964023330000000000000E-13 " " relative error = 4.0653393741994925000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.571999999999948 " " y[1] (analytic) = 5.816271109870936 " " y[1] (numeric) = 5.816271109871173 " " absolute error = 2.37143638059933440000000000000E-13 " " relative error = 4.077245258692828000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.572999999999948 " " y[1] (analytic) = 5.821089789919274 " " y[1] (numeric) = 5.821089789919512 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 4.0891280682845227000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5739999999999479 " " y[1] (analytic) = 5.8259132910578035 " " y[1] (numeric) = 5.8259132910580425 " " absolute error = 2.3891999489933370000000000000E-13 " " relative error = 4.100987827368664500000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5749999999999478 " " y[1] (analytic) = 5.830741618110026 " " y[1] (numeric) = 5.830741618110266 " " absolute error = 2.3980817331903380000000000000E-13 " " relative error = 4.112824560330373700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.5759999999999477 " " y[1] (analytic) = 5.83557477590427 " " y[1] (numeric) = 5.83557477590451 " " absolute error = 2.3980817331903380000000000000E-13 " " relative error = 4.109418224049294400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5769999999999476 " " y[1] (analytic) = 5.8404127692736925 " " y[1] (numeric) = 5.840412769273933 " " absolute error = 2.40696351738733940000000000000E-13 " " relative error = 4.121221585656294000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5779999999999474 " " y[1] (analytic) = 5.845255603056287 " " y[1] (numeric) = 5.845255603056529 " " absolute error = 2.41584530158434060000000000000E-13 " " relative error = 4.1330019859545175000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5789999999999473 " " y[1] (analytic) = 5.850103282094889 " " y[1] (numeric) = 5.850103282095132 " " absolute error = 2.4336088699783430000000000000E-13 " " relative error = 4.159941718339854000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5799999999999472 " " y[1] (analytic) = 5.854955811237177 " " y[1] (numeric) = 5.854955811237420 " " absolute error = 2.4336088699783430000000000000E-13 " " relative error = 4.156494000018954000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5809999999999471 " " y[1] (analytic) = 5.859813195335681 " " y[1] (numeric) = 5.859813195335925 " " absolute error = 2.44249065417534440000000000000E-13 " " relative error = 4.168205662459562000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.581999999999947 " " y[1] (analytic) = 5.864675439247785 " " y[1] (numeric) = 5.86467543924803 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 4.1798944609401323000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.582999999999947 " " y[1] (analytic) = 5.869542547835734 " " y[1] (numeric) = 5.869542547835980 " " absolute error = 2.45137243837234560000000000000E-13 " " relative error = 4.176428432699982300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061903470600000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5839999999999468 " " y[1] (analytic) = 5.874414525966636 " " y[1] (numeric) = 5.874414525966882 " " absolute error = 2.4602542225693470000000000000E-13 " " relative error = 4.188084125991282000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5849999999999467 " " y[1] (analytic) = 5.879291378512471 " " y[1] (numeric) = 5.879291378512717 " " absolute error = 2.4602542225693470000000000000E-13 " " relative error = 4.184610124208234000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5859999999999466 " " y[1] (analytic) = 5.8841731103500905 " " y[1] (numeric) = 5.884173110350338 " " absolute error = 2.47801779096334940000000000000E-13 " " relative error = 4.211327138905189300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217018300000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.5869999999999465 " " y[1] (analytic) = 5.889059726361228 " " y[1] (numeric) = 5.889059726361476 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 4.222914507095639000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.5879999999999463 " " y[1] (analytic) = 5.893951231432500 " " y[1] (numeric) = 5.893951231432748 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 4.219409827990586000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5889999999999462 " " y[1] (analytic) = 5.898847630455409 " " y[1] (numeric) = 5.898847630455660 " " absolute error = 2.5046631435543530000000000000E-13 " " relative error = 4.246021088293453000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.5899999999999461 " " y[1] (analytic) = 5.903748928326358 " " y[1] (numeric) = 5.903748928326609 " " absolute error = 2.5046631435543530000000000000E-13 " " relative error = 4.242496037622648000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.590999999999946 " " y[1] (analytic) = 5.908655129946644 " " y[1] (numeric) = 5.9086551299468955 " " absolute error = 2.51354492775135440000000000000E-13 " " relative error = 4.254005137331567400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.591999999999946 " " y[1] (analytic) = 5.913566240222469 " " y[1] (numeric) = 5.913566240222721 " " absolute error = 2.52242671194835570000000000000E-13 " " relative error = 4.26549159928487000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.5929999999999458 " " y[1] (analytic) = 5.918482264064943 " " y[1] (numeric) = 5.918482264065196 " " absolute error = 2.5313084961453570000000000000E-13 " " relative error = 4.2769554477076330000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5939999999999457 " " y[1] (analytic) = 5.923403206390091 " " y[1] (numeric) = 5.923403206390345 " " absolute error = 2.5401902803423580000000000000E-13 " " relative error = 4.28839670681549000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.5949999999999456 " " y[1] (analytic) = 5.928329072118856 " " y[1] (numeric) = 5.928329072119111 " " absolute error = 2.54907206453935940000000000000E-13 " " relative error = 4.2998154008146017000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5959999999999455 " " y[1] (analytic) = 5.933259866177105 " " y[1] (numeric) = 5.93325986617736 " " absolute error = 2.54907206453935940000000000000E-13 " " relative error = 4.296242069339477000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.5969999999999454 " " y[1] (analytic) = 5.93819559349563 " " y[1] (numeric) = 5.938195593495886 " " absolute error = 2.55795384873636070000000000000E-13 " " relative error = 4.307628148082898000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.5979999999999452 " " y[1] (analytic) = 5.94313625901016 " " y[1] (numeric) = 5.943136259010417 " " absolute error = 2.5668356329333620000000000000E-13 " " relative error = 4.318991726029975400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.5989999999999451 " " y[1] (analytic) = 5.948081867661362 " " y[1] (numeric) = 5.948081867661618 " " absolute error = 2.5668356329333620000000000000E-13 " " relative error = 4.3154006451874516000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.599999999999945 " " y[1] (analytic) = 5.953032424394842 " " y[1] (numeric) = 5.9530324243951 " " absolute error = 2.5757174171303630000000000000E-13 " " relative error = 4.326731711682552700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.600999999999945 " " y[1] (analytic) = 5.957987934161161 " " y[1] (numeric) = 5.957987934161419 " " absolute error = 2.5757174171303630000000000000E-13 " " relative error = 4.32313298649371000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6019999999999448 " " y[1] (analytic) = 5.962948401915827 " " y[1] (numeric) = 5.962948401916085 " " absolute error = 2.58459920132736440000000000000E-13 " " relative error = 4.334431605171969000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.6029999999999447 " " y[1] (analytic) = 5.967913832619308 " " y[1] (numeric) = 5.967913832619567 " " absolute error = 2.59348098552436570000000000000E-13 " " relative error = 4.345707827329824000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6039999999999446 " " y[1] (analytic) = 5.972884231237035 " " y[1] (numeric) = 5.972884231237296 " " absolute error = 2.6023627697213670000000000000E-13 " " relative error = 4.3569616770931374000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6049999999999445 " " y[1] (analytic) = 5.977859602739409 " " y[1] (numeric) = 5.97785960273967 " " absolute error = 2.6112445539183680000000000000E-13 " " relative error = 4.3681931785780675000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6059999999999444 " " y[1] (analytic) = 5.982839952101800 " " y[1] (numeric) = 5.982839952102062 " " absolute error = 2.62900812231237070000000000000E-13 " " relative error = 4.394247787605931600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6069999999999443 " " y[1] (analytic) = 5.987825284304558 " " y[1] (numeric) = 5.987825284304821 " " absolute error = 2.6378899065093720000000000000E-13 " " relative error = 4.405422304862296500000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6079999999999441 " " y[1] (analytic) = 5.992815604333016 " " y[1] (numeric) = 5.9928156043332805 " " absolute error = 2.6467716907063730000000000000E-13 " " relative error = 4.416574554359164000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.608999999999944 " " y[1] (analytic) = 5.997810917177495 " " y[1] (numeric) = 5.99781091717776 " " absolute error = 2.6467716907063730000000000000E-13 " " relative error = 4.4128961837161673000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.609999999999944 " " y[1] (analytic) = 6.002811227833307 " " y[1] (numeric) = 6.002811227833573 " " absolute error = 2.65565347490337440000000000000E-13 " " relative error = 4.424016305210255000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.6109999999999438 " " y[1] (analytic) = 6.007816541300764 " " y[1] (numeric) = 6.007816541301030 " " absolute error = 2.66453525910037570000000000000E-13 " " relative error = 4.435114222917785300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.6119999999999437 " " y[1] (analytic) = 6.01282686258518 " " y[1] (numeric) = 6.012826862585447 " " absolute error = 2.6734170432973770000000000000E-13 " " relative error = 4.4461899608863126000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6129999999999436 " " y[1] (analytic) = 6.017842196696876 " " y[1] (numeric) = 6.017842196697144 " " absolute error = 2.6822988274943780000000000000E-13 " " relative error = 4.457243543153493500000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6139999999999435 " " y[1] (analytic) = 6.022862548651187 " " y[1] (numeric) = 6.022862548651456 " " absolute error = 2.69118061169137950000000000000E-13 " " relative error = 4.468274993747061700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6149999999999434 " " y[1] (analytic) = 6.027887923468465 " " y[1] (numeric) = 6.027887923468735 " " absolute error = 2.70006239588838070000000000000E-13 " " relative error = 4.479284336684808400000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6159999999999433 " " y[1] (analytic) = 6.0329183261740855 " " y[1] (numeric) = 6.032918326174356 " " absolute error = 2.7089441800853820000000000000E-13 " " relative error = 4.4902715959745493000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6169999999999431 " " y[1] (analytic) = 6.037953761798451 " " y[1] (numeric) = 6.037953761798724 " " absolute error = 2.72670774847938450000000000000E-13 " " relative error = 4.515946719782786000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.617999999999943 " " y[1] (analytic) = 6.042994235376999 " " y[1] (numeric) = 6.0429942353772725 " " absolute error = 2.73558953267638570000000000000E-13 " " relative error = 4.5268776141828027000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.618999999999943 " " y[1] (analytic) = 6.048039751950203 " " y[1] (numeric) = 6.048039751950476 " " absolute error = 2.73558953267638570000000000000E-13 " " relative error = 4.523101111883877600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.6199999999999428 " " y[1] (analytic) = 6.053090316563578 " " y[1] (numeric) = 6.053090316563853 " " absolute error = 2.7533531010703880000000000000E-13 " " relative error = 4.548673416512814000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6209999999999427 " " y[1] (analytic) = 6.058145934267692 " " y[1] (numeric) = 6.0581459342679675 " " absolute error = 2.7533531010703880000000000000E-13 " " relative error = 4.544877477275914300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.6219999999999426 " " y[1] (analytic) = 6.063206610118161 " " y[1] (numeric) = 6.063206610118438 " " absolute error = 2.76223488526738950000000000000E-13 " " relative error = 4.555732738280476300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6229999999999425 " " y[1] (analytic) = 6.068272349175663 " " y[1] (numeric) = 6.06827234917594 " " absolute error = 2.77111666946439100000000000000E-13 " " relative error = 4.566566083410593000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6239999999999424 " " y[1] (analytic) = 6.073343156505936 " " y[1] (numeric) = 6.073343156506214 " " absolute error = 2.7799984536613920000000000000E-13 " " relative error = 4.577377536593465000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6249999999999423 " " y[1] (analytic) = 6.0784190371797875 " " y[1] (numeric) = 6.078419037180066 " " absolute error = 2.7888802378583930000000000000E-13 " " relative error = 4.588167121746108000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6259999999999422 " " y[1] (analytic) = 6.0834999962731 " " y[1] (numeric) = 6.08349999627338 " " absolute error = 2.79776202205539450000000000000E-13 " " relative error = 4.598934862775329000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.626999999999942 " " y[1] (analytic) = 6.088586038866833 " " y[1] (numeric) = 6.088586038867113 " " absolute error = 2.80664380625239600000000000000E-13 " " relative error = 4.6096807835777087000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.627999999999942 " " y[1] (analytic) = 6.0936771700470285 " " y[1] (numeric) = 6.09367717004731 " " absolute error = 2.8155255904493970000000000000E-13 " " relative error = 4.620404908039571000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6289999999999418 " " y[1] (analytic) = 6.098773394904819 " " y[1] (numeric) = 6.098773394905101 " " absolute error = 2.8244073746463980000000000000E-13 " " relative error = 4.631107260036963000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6299999999999417 " " y[1] (analytic) = 6.103874718536428 " " y[1] (numeric) = 6.103874718536711 " " absolute error = 2.83328915884339950000000000000E-13 " " relative error = 4.6417878634356360000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.6309999999999416 " " y[1] (analytic) = 6.108981146043182 " " y[1] (numeric) = 6.108981146043465 " " absolute error = 2.83328915884339950000000000000E-13 " " relative error = 4.637907846021976000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6319999999999415 " " y[1] (analytic) = 6.114092682531507 " " y[1] (numeric) = 6.114092682531791 " " absolute error = 2.84217094304040100000000000000E-13 " " relative error = 4.64855717866484050000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.6329999999999414 " " y[1] (analytic) = 6.119209333112941 " " y[1] (numeric) = 6.1192093331132265 " " absolute error = 2.8510527272374020000000000000E-13 " " relative error = 4.659184826068084600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6339999999999413 " " y[1] (analytic) = 6.124331102904136 " " y[1] (numeric) = 6.124331102904420 " " absolute error = 2.8510527272374020000000000000E-13 " " relative error = 4.655288356120137500000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6349999999999412 " " y[1] (analytic) = 6.129457997026859 " " y[1] (numeric) = 6.129457997027146 " " absolute error = 2.86881629563140450000000000000E-13 " " relative error = 4.680375160451293300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.635999999999941 " " y[1] (analytic) = 6.134590020608007 " " y[1] (numeric) = 6.134590020608295 " " absolute error = 2.8776980798284060000000000000E-13 " " relative error = 4.6909378950529984000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.636999999999941 " " y[1] (analytic) = 6.139727178779604 " " y[1] (numeric) = 6.139727178779893 " " absolute error = 2.8865798640254070000000000000E-13 " " relative error = 4.701479039658524000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6379999999999408 " " y[1] (analytic) = 6.1448694766788075 " " y[1] (numeric) = 6.144869476679098 " " absolute error = 2.90434343241940950000000000000E-13 " " relative error = 4.726452601543549300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6389999999999407 " " y[1] (analytic) = 6.150016919447917 " " y[1] (numeric) = 6.150016919448208 " " absolute error = 2.9132252166164110000000000000E-13 " " relative error = 4.736938539801495000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.6399999999999406 " " y[1] (analytic) = 6.155169512234375 " " y[1] (numeric) = 6.155169512234667 " " absolute error = 2.9221070008134120000000000000E-13 " " relative error = 4.747402967546646700000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6409999999999405 " " y[1] (analytic) = 6.160327260190774 " " y[1] (numeric) = 6.1603272601910675 " " absolute error = 2.93098878501041300000000000000E-13 " " relative error = 4.75784590852994000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6419999999999404 " " y[1] (analytic) = 6.165490168474864 " " y[1] (numeric) = 6.165490168475158 " " absolute error = 2.93987056920741450000000000000E-13 " " relative error = 4.7682673864917374000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6429999999999403 " " y[1] (analytic) = 6.170658242249553 " " y[1] (numeric) = 6.170658242249848 " " absolute error = 2.9487523534044160000000000000E-13 " " relative error = 4.7786674251618080000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6439999999999402 " " y[1] (analytic) = 6.175831486682915 " " y[1] (numeric) = 6.175831486683210 " " absolute error = 2.9576341376014170000000000000E-13 " " relative error = 4.7890460482593000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.64499999999994 " " y[1] (analytic) = 6.181009906948195 " " y[1] (numeric) = 6.181009906948492 " " absolute error = 2.96651592179841800000000000000E-13 " " relative error = 4.7994032794927230000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.64599999999994 " " y[1] (analytic) = 6.1861935082238135 " " y[1] (numeric) = 6.186193508224111 " " absolute error = 2.97539770599541950000000000000E-13 " " relative error = 4.8097391425599280000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6469999999999398 " " y[1] (analytic) = 6.191382295693373 " " y[1] (numeric) = 6.191382295693671 " " absolute error = 2.9842794901924210000000000000E-13 " " relative error = 4.820053661148074300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6479999999999397 " " y[1] (analytic) = 6.19657627454566 " " y[1] (numeric) = 6.19657627454596 " " absolute error = 2.9931612743894220000000000000E-13 " " relative error = 4.830346858933619600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6489999999999396 " " y[1] (analytic) = 6.201775449974655 " " y[1] (numeric) = 6.201775449974956 " " absolute error = 3.00204305858642330000000000000E-13 " " relative error = 4.8406187595822925000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6499999999999395 " " y[1] (analytic) = 6.206979827179534 " " y[1] (numeric) = 6.206979827179834 " " absolute error = 3.00204305858642330000000000000E-13 " " relative error = 4.836560037525623000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.98387125794558300000000E-8 " " Order of pole = 0.49999999997304023 " " x[1] = 1.6509999999999394 " " y[1] (analytic) = 6.212189411364673 " " y[1] (numeric) = 6.2121894113649745 " " absolute error = 3.01092484278342450000000000000E-13 " " relative error = 4.84680141477204950000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.6519999999999393 " " y[1] (analytic) = 6.2174042077396585 " " y[1] (numeric) = 6.2174042077399605 " " absolute error = 3.0198066269804260000000000000E-13 " " relative error = 4.857021557680385500000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.6529999999999392 " " y[1] (analytic) = 6.222624221519286 " " y[1] (numeric) = 6.222624221519589 " " absolute error = 3.0286884111774270000000000000E-13 " " relative error = 4.867220489875503000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.653999999999939 " " y[1] (analytic) = 6.227849457923571 " " y[1] (numeric) = 6.227849457923875 " " absolute error = 3.03757019537442830000000000000E-13 " " relative error = 4.8773982349714423000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.654999999999939 " " y[1] (analytic) = 6.233079922177750 " " y[1] (numeric) = 6.233079922178054 " " absolute error = 3.04645197957142950000000000000E-13 " " relative error = 4.887554816571392000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6559999999999389 " " y[1] (analytic) = 6.238315619512285 " " y[1] (numeric) = 6.2383156195125915 " " absolute error = 3.0642155479654320000000000000E-13 " " relative error = 4.911927729948671300000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6569999999999387 " " y[1] (analytic) = 6.243556555162877 " " y[1] (numeric) = 6.243556555163185 " " absolute error = 3.07309733216243330000000000000E-13 " " relative error = 4.922030104173957000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6579999999999386 " " y[1] (analytic) = 6.248802734370462 " " y[1] (numeric) = 6.24880273437077 " " absolute error = 3.08197911635943460000000000000E-13 " " relative error = 4.9321113937675454000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6589999999999385 " " y[1] (analytic) = 6.254054162381219 " " y[1] (numeric) = 6.254054162381527 " " absolute error = 3.08197911635943460000000000000E-13 " " relative error = 4.927969979693903000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6599999999999384 " " y[1] (analytic) = 6.259310844446575 " " y[1] (numeric) = 6.259310844446884 " " absolute error = 3.0908609005564360000000000000E-13 " " relative error = 4.93802109748029000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6609999999999383 " " y[1] (analytic) = 6.264572785823214 " " y[1] (numeric) = 6.264572785823524 " " absolute error = 3.0997426847534370000000000000E-13 " " relative error = 4.948051193160663000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.6619999999999382 " " y[1] (analytic) = 6.269839991773078 " " y[1] (numeric) = 6.269839991773389 " " absolute error = 3.10862446895043830000000000000E-13 " " relative error = 4.958060290261626600000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.662999999999938 " " y[1] (analytic) = 6.275112467563372 " " y[1] (numeric) = 6.275112467563685 " " absolute error = 3.1263880373444410000000000000E-13 " " relative error = 4.9822023963793890000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.663999999999938 " " y[1] (analytic) = 6.280390218466574 " " y[1] (numeric) = 6.280390218466888 " " absolute error = 3.1352698215414420000000000000E-13 " " relative error = 4.9921576725004074000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6649999999999379 " " y[1] (analytic) = 6.285673249760435 " " y[1] (numeric) = 6.285673249760749 " " absolute error = 3.14415160573844330000000000000E-13 " " relative error = 5.002092028659422000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6659999999999378 " " y[1] (analytic) = 6.290961566727985 " " y[1] (numeric) = 6.2909615667283 " " absolute error = 3.15303338993544460000000000000E-13 " " relative error = 5.012005488336468000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6669999999999376 " " y[1] (analytic) = 6.296255174657543 " " y[1] (numeric) = 6.296255174657860 " " absolute error = 3.1619151741324460000000000000E-13 " " relative error = 5.021898075000469000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.6679999999999375 " " y[1] (analytic) = 6.301554078842718 " " y[1] (numeric) = 6.301554078843035 " " absolute error = 3.1707969583294470000000000000E-13 " " relative error = 5.031769812109214000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.6689999999999374 " " y[1] (analytic) = 6.306858284582413 " " y[1] (numeric) = 6.306858284582730 " " absolute error = 3.17967874252644830000000000000E-13 " " relative error = 5.041620723109335000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6699999999999373 " " y[1] (analytic) = 6.312167797180834 " " y[1] (numeric) = 6.312167797181154 " " absolute error = 3.1974423109204510000000000000E-13 " " relative error = 5.06552172511717000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6709999999999372 " " y[1] (analytic) = 6.317482621947495 " " y[1] (numeric) = 6.317482621947816 " " absolute error = 3.2063240951174520000000000000E-13 " " relative error = 5.0753192165157650000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.671999999999937 " " y[1] (analytic) = 6.322802764197222 " " y[1] (numeric) = 6.322802764197544 " " absolute error = 3.21520587931445330000000000000E-13 " " relative error = 5.085095960165814000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.672999999999937 " " y[1] (analytic) = 6.328128229250156 " " y[1] (numeric) = 6.328128229250479 " " absolute error = 3.22408766351145460000000000000E-13 " " relative error = 5.094851979466746000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6739999999999369 " " y[1] (analytic) = 6.333459022431764 " " y[1] (numeric) = 6.333459022432087 " " absolute error = 3.22408766351145460000000000000E-13 " " relative error = 5.09056370632923000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6749999999999368 " " y[1] (analytic) = 6.338795149072839 " " y[1] (numeric) = 6.338795149073162 " " absolute error = 3.2329694477084560000000000000E-13 " " relative error = 5.100290152429575000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6759999999999367 " " y[1] (analytic) = 6.344136614509507 " " y[1] (numeric) = 6.344136614509831 " " absolute error = 3.2418512319054570000000000000E-13 " " relative error = 5.109995936233632000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.6769999999999365 " " y[1] (analytic) = 6.349483424083235 " " y[1] (numeric) = 6.3494834240835605 " " absolute error = 3.25073301610245840000000000000E-13 " " relative error = 5.119681081098046000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.185696045087012000000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.6779999999999364 " " y[1] (analytic) = 6.354835583140834 " " y[1] (numeric) = 6.35483558314116 " " absolute error = 3.25961480029945960000000000000E-13 " " relative error = 5.1293456103681250000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.6789999999999363 " " y[1] (analytic) = 6.360193097034461 " " y[1] (numeric) = 6.360193097034788 " " absolute error = 3.2684965844964610000000000000E-13 " " relative error = 5.138989547377811000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.6799999999999362 " " y[1] (analytic) = 6.3655559711216325 " " y[1] (numeric) = 6.36555597112196 " " absolute error = 3.2773783686934620000000000000E-13 " " relative error = 5.148612915449673000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.680999999999936 " " y[1] (analytic) = 6.370924210765222 " " y[1] (numeric) = 6.37092421076555 " " absolute error = 3.28626015289046340000000000000E-13 " " relative error = 5.158215737894872000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.681999999999936 " " y[1] (analytic) = 6.37629782133347 " " y[1] (numeric) = 6.376297821333800 " " absolute error = 3.29514193708746460000000000000E-13 " " relative error = 5.167798038013153000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.6829999999999359 " " y[1] (analytic) = 6.3816768081999875 " " y[1] (numeric) = 6.381676808200317 " " absolute error = 3.29514193708746460000000000000E-13 " " relative error = 5.163442205116763000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.6839999999999358 " " y[1] (analytic) = 6.387061176743761 " " y[1] (numeric) = 6.3870611767440915 " " absolute error = 3.3040237212844660000000000000E-13 " " relative error = 5.172995263165644000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6849999999999357 " " y[1] (analytic) = 6.392450932349160 " " y[1] (numeric) = 6.392450932349492 " " absolute error = 3.3129055054814670000000000000E-13 " " relative error = 5.182527860662057000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6859999999999356 " " y[1] (analytic) = 6.397846080405942 " " y[1] (numeric) = 6.397846080406274 " " absolute error = 3.32178728967846840000000000000E-13 " " relative error = 5.1920400208623050000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6869999999999354 " " y[1] (analytic) = 6.403246626309254 " " y[1] (numeric) = 6.403246626309587 " " absolute error = 3.33066907387546960000000000000E-13 " " relative error = 5.201531767011173000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6879999999999353 " " y[1] (analytic) = 6.408652575459642 " " y[1] (numeric) = 6.408652575459976 " " absolute error = 3.3395508580724710000000000000E-13 " " relative error = 5.211003122341908000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.810258239435212400000000E-8 " " Order of pole = 0.4999999999972502 " " x[1] = 1.6889999999999352 " " y[1] (analytic) = 6.414063933263056 " " y[1] (numeric) = 6.414063933263390 " " absolute error = 3.3484326422694720000000000000E-13 " " relative error = 5.220454110076213000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.689999999999935 " " y[1] (analytic) = 6.419480705130854 " " y[1] (numeric) = 6.41948070513119 " " absolute error = 3.35731442646647340000000000000E-13 " " relative error = 5.229884753424207000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.690999999999935 " " y[1] (analytic) = 6.42490289647981 " " y[1] (numeric) = 6.4249028964801465 " " absolute error = 3.36619621066347460000000000000E-13 " " relative error = 5.2392950755844200000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593408840000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.691999999999935 " " y[1] (analytic) = 6.430330512732114 " " y[1] (numeric) = 6.430330512732452 " " absolute error = 3.3750779948604760000000000000E-13 " " relative error = 5.2486850997437700000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6929999999999348 " " y[1] (analytic) = 6.435763559315383 " " y[1] (numeric) = 6.435763559315722 " " absolute error = 3.39284156325447840000000000000E-13 " " relative error = 5.271855517972756000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.6939999999999347 " " y[1] (analytic) = 6.441202041662665 " " y[1] (numeric) = 6.441202041663005 " " absolute error = 3.40172334745147960000000000000E-13 " " relative error = 5.281193363363889000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6949999999999346 " " y[1] (analytic) = 6.446645965212442 " " y[1] (numeric) = 6.446645965212783 " " absolute error = 3.4106051316484810000000000000E-13 " " relative error = 5.290510988276503000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.6959999999999344 " " y[1] (analytic) = 6.452095335408638 " " y[1] (numeric) = 6.45209533540898 " " absolute error = 3.4194869158454820000000000000E-13 " " relative error = 5.299808415848387000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.6969999999999343 " " y[1] (analytic) = 6.457550157700623 " " y[1] (numeric) = 6.457550157700966 " " absolute error = 3.43725048423948460000000000000E-13 " " relative error = 5.3228397771569250000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.6979999999999342 " " y[1] (analytic) = 6.463010437543221 " " y[1] (numeric) = 6.4630104375435655 " " absolute error = 3.4461322684364860000000000000E-13 " " relative error = 5.332085259244083000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.6989999999999341 " " y[1] (analytic) = 6.468476180396712 " " y[1] (numeric) = 6.468476180397057 " " absolute error = 3.4550140526334870000000000000E-13 " " relative error = 5.341310621355014000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.699999999999934 " " y[1] (analytic) = 6.473947391726838 " " y[1] (numeric) = 6.473947391727185 " " absolute error = 3.46389583683048840000000000000E-13 " " relative error = 5.350515886578036000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.700999999999934 " " y[1] (analytic) = 6.479424077004813 " " y[1] (numeric) = 6.47942407700516 " " absolute error = 3.47277762102748970000000000000E-13 " " relative error = 5.359701077989667000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7019999999999338 " " y[1] (analytic) = 6.484906241707321 " " y[1] (numeric) = 6.4849062417076695 " " absolute error = 3.4816594052244910000000000000E-13 " " relative error = 5.3688662186546170000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7029999999999337 " " y[1] (analytic) = 6.490393891316529 " " y[1] (numeric) = 6.490393891316877 " " absolute error = 3.4816594052244910000000000000E-13 " " relative error = 5.364326824420608000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7039999999999336 " " y[1] (analytic) = 6.495887031320085 " " y[1] (numeric) = 6.495887031320434 " " absolute error = 3.4905411894214920000000000000E-13 " " relative error = 5.37346350481737000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7049999999999335 " " y[1] (analytic) = 6.501385667211130 " " y[1] (numeric) = 6.501385667211480 " " absolute error = 3.49942297361849340000000000000E-13 " " relative error = 5.382580195584097000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7059999999999333 " " y[1] (analytic) = 6.506889804488301 " " y[1] (numeric) = 6.506889804488653 " " absolute error = 3.5171865420124960000000000000E-13 " " relative error = 5.405326734727277000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7069999999999332 " " y[1] (analytic) = 6.512399448655736 " " y[1] (numeric) = 6.512399448656088 " " absolute error = 3.5171865420124960000000000000E-13 " " relative error = 5.40075370029475000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.7079999999999331 " " y[1] (analytic) = 6.517914605223078 " " y[1] (numeric) = 6.517914605223430 " " absolute error = 3.5260683262094970000000000000E-13 " " relative error = 5.409810560242552000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.708999999999933 " " y[1] (analytic) = 6.5234352797054855 " " y[1] (numeric) = 6.523435279705839 " " absolute error = 3.53495011040649840000000000000E-13 " " relative error = 5.418847522568034000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.709999999999933 " " y[1] (analytic) = 6.528961477623633 " " y[1] (numeric) = 6.528961477623987 " " absolute error = 3.54383189460349970000000000000E-13 " " relative error = 5.427864610243281000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7109999999999328 " " y[1] (analytic) = 6.534493204503720 " " y[1] (numeric) = 6.5344932045040744 " " absolute error = 3.5527136788005010000000000000E-13 " " relative error = 5.436861846228398000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7119999999999327 " " y[1] (analytic) = 6.540030465877470 " " y[1] (numeric) = 6.540030465877827 " " absolute error = 3.5615954629975020000000000000E-13 " " relative error = 5.445839253471498000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.7129999999999326 " " y[1] (analytic) = 6.545573267282150 " " y[1] (numeric) = 6.545573267282506 " " absolute error = 3.57047724719450340000000000000E-13 " " relative error = 5.454796854908684000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7139999999999325 " " y[1] (analytic) = 6.551121614260558 " " y[1] (numeric) = 6.551121614260916 " " absolute error = 3.57935903139150470000000000000E-13 " " relative error = 5.463734673464028000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7149999999999324 " " y[1] (analytic) = 6.556675512361044 " " y[1] (numeric) = 6.5566755123614024 " " absolute error = 3.5882408155885060000000000000E-13 " " relative error = 5.472652732049552000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7159999999999322 " " y[1] (analytic) = 6.562234967137504 " " y[1] (numeric) = 6.562234967137864 " " absolute error = 3.5971225997855070000000000000E-13 " " relative error = 5.4815510535652130000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7169999999999321 " " y[1] (analytic) = 6.567799984149396 " " y[1] (numeric) = 6.567799984149756 " " absolute error = 3.60600438398250840000000000000E-13 " " relative error = 5.4904296608988880000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.717999999999932 " " y[1] (analytic) = 6.573370568961735 " " y[1] (numeric) = 6.573370568962097 " " absolute error = 3.61488616817950970000000000000E-13 " " relative error = 5.4992885769263440000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.718999999999932 " " y[1] (analytic) = 6.578946727145108 " " y[1] (numeric) = 6.57894672714547 " " absolute error = 3.6237679523765110000000000000E-13 " " relative error = 5.508127824511238000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7199999999999318 " " y[1] (analytic) = 6.584528464275673 " " y[1] (numeric) = 6.584528464276036 " " absolute error = 3.6326497365735120000000000000E-13 " " relative error = 5.5169474265050810000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.7209999999999317 " " y[1] (analytic) = 6.590115785935168 " " y[1] (numeric) = 6.590115785935532 " " absolute error = 3.64153152077051350000000000000E-13 " " relative error = 5.525747405747232000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7219999999999316 " " y[1] (analytic) = 6.595708697710914 " " y[1] (numeric) = 6.595708697711279 " " absolute error = 3.65041330496751470000000000000E-13 " " relative error = 5.53452778506488000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7229999999999315 " " y[1] (analytic) = 6.601307205195825 " " y[1] (numeric) = 6.601307205196191 " " absolute error = 3.6592950891645160000000000000E-13 " " relative error = 5.543288587273018000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7239999999999314 " " y[1] (analytic) = 6.606911313988407 " " y[1] (numeric) = 6.606911313988775 " " absolute error = 3.67705865755851850000000000000E-13 " " relative error = 5.565473006688176000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7249999999999313 " " y[1] (analytic) = 6.612521029692771 " " y[1] (numeric) = 6.61252102969314 " " absolute error = 3.68594044175551970000000000000E-13 " " relative error = 5.574183318592447000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7259999999999311 " " y[1] (analytic) = 6.618136357918632 " " y[1] (numeric) = 6.618136357919002 " " absolute error = 3.6948222259525210000000000000E-13 " " relative error = 5.5828741297112260000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.726999999999931 " " y[1] (analytic) = 6.623757304281319 " " y[1] (numeric) = 6.62375730428169 " " absolute error = 3.71258579434652350000000000000E-13 " " relative error = 5.604954444733149000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.727999999999931 " " y[1] (analytic) = 6.629383874401780 " " y[1] (numeric) = 6.629383874402151 " " absolute error = 3.72146757854352500000000000000E-13 " " relative error = 5.613594941927150000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7289999999999308 " " y[1] (analytic) = 6.635016073906582 " " y[1] (numeric) = 6.635016073906956 " " absolute error = 3.7392311469375270000000000000E-13 " " relative error = 5.635602243139605000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7299999999999307 " " y[1] (analytic) = 6.64065390842793 " " y[1] (numeric) = 6.6406539084283045 " " absolute error = 3.74811293113452850000000000000E-13 " " relative error = 5.644192549136829000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7309999999999306 " " y[1] (analytic) = 6.646297383603655 " " y[1] (numeric) = 6.646297383604030 " " absolute error = 3.75699471533153000000000000000E-13 " " relative error = 5.652763483921130000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7319999999999305 " " y[1] (analytic) = 6.651946505077235 " " y[1] (numeric) = 6.651946505077611 " " absolute error = 3.7658764995285310000000000000E-13 " " relative error = 5.661315070189077000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.7329999999999304 " " y[1] (analytic) = 6.657601278497790 " " y[1] (numeric) = 6.657601278498168 " " absolute error = 3.7747582837255320000000000000E-13 " " relative error = 5.6698473306248550000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7339999999999303 " " y[1] (analytic) = 6.663261709520096 " " y[1] (numeric) = 6.663261709520475 " " absolute error = 3.78364006792253350000000000000E-13 " " relative error = 5.678360287900263000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7349999999999302 " " y[1] (analytic) = 6.668927803804584 " " y[1] (numeric) = 6.668927803804963 " " absolute error = 3.79252185211953500000000000000E-13 " " relative error = 5.6868539646746860000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.73599999999993 " " y[1] (analytic) = 6.6745995670173475 " " y[1] (numeric) = 6.674599567017728 " " absolute error = 3.8014036363165360000000000000E-13 " " relative error = 5.695328383595084000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.73699999999993 " " y[1] (analytic) = 6.680277004830150 " " y[1] (numeric) = 6.680277004830532 " " absolute error = 3.8102854205135370000000000000E-13 " " relative error = 5.703783567295972000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7379999999999298 " " y[1] (analytic) = 6.685960122920432 " " y[1] (numeric) = 6.6859601229208145 " " absolute error = 3.828048988907540000000000000E-13 " " relative error = 5.725503769884056000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7389999999999297 " " y[1] (analytic) = 6.69164892697131 " " y[1] (numeric) = 6.691648926971694 " " absolute error = 3.8369307731045410000000000000E-13 " " relative error = 5.7339092576112840000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7399999999999296 " " y[1] (analytic) = 6.69734342267159 " " y[1] (numeric) = 6.697343422671975 " " absolute error = 3.84581255730154200000000000000E-13 " " relative error = 5.742295585862963000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7409999999999295 " " y[1] (analytic) = 6.703043615715767 " " y[1] (numeric) = 6.703043615716153 " " absolute error = 3.85469434149854350000000000000E-13 " " relative error = 5.7506627772209860000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7419999999999294 " " y[1] (analytic) = 6.708749511804035 " " y[1] (numeric) = 6.708749511804422 " " absolute error = 3.8724579098925460000000000000E-13 " " relative error = 5.7722499596667930000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7429999999999293 " " y[1] (analytic) = 6.7144611166422905 " " y[1] (numeric) = 6.714461116642679 " " absolute error = 3.88133969408954700000000000000E-13 " " relative error = 5.780567683189584000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7439999999999292 " " y[1] (analytic) = 6.720178435942139 " " y[1] (numeric) = 6.720178435942528 " " absolute error = 3.89022147828654850000000000000E-13 " " relative error = 5.788866345393635000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.744999999999929 " " y[1] (analytic) = 6.7259014754208994 " " y[1] (numeric) = 6.72590147542129 " " absolute error = 3.9079850466805510000000000000E-13 " " relative error = 5.810351312700419000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.745999999999929 " " y[1] (analytic) = 6.731630240801613 " " y[1] (numeric) = 6.731630240802005 " " absolute error = 3.91686683087755200000000000000E-13 " " relative error = 5.8186006818032320000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7469999999999288 " " y[1] (analytic) = 6.737364737813045 " " y[1] (numeric) = 6.737364737813438 " " absolute error = 3.9346303992715550000000000000E-13 " " relative error = 5.840013940745532000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7479999999999287 " " y[1] (analytic) = 6.743104972189693 " " y[1] (numeric) = 6.743104972190087 " " absolute error = 3.9435121834685560000000000000E-13 " " relative error = 5.848214138342231000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7489999999999286 " " y[1] (analytic) = 6.748850949671792 " " y[1] (numeric) = 6.748850949672187 " " absolute error = 3.95239396766555730000000000000E-13 " " relative error = 5.856395402920802000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7499999999999285 " " y[1] (analytic) = 6.754602676005319 " " y[1] (numeric) = 6.754602676005716 " " absolute error = 3.970157536059560000000000000E-13 " " relative error = 5.877706989580498000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7509999999999284 " " y[1] (analytic) = 6.760360156942002 " " y[1] (numeric) = 6.7603601569424 " " absolute error = 3.9790393202565610000000000000E-13 " " relative error = 5.8858392569079480000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7519999999999283 " " y[1] (analytic) = 6.766123398239322 " " y[1] (numeric) = 6.766123398239720 " " absolute error = 3.98792110445356230000000000000E-13 " " relative error = 5.893952666443089000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.7529999999999282 " " y[1] (analytic) = 6.7718924056605205 " " y[1] (numeric) = 6.77189240566092 " " absolute error = 3.99680288865056350000000000000E-13 " " relative error = 5.9020472406054440000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.753999999999928 " " y[1] (analytic) = 6.7776671849746055 " " y[1] (numeric) = 6.777667184975007 " " absolute error = 4.0145664570445660000000000000E-13 " " relative error = 5.923227487393375000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.754999999999928 " " y[1] (analytic) = 6.7834477419563575 " " y[1] (numeric) = 6.78344774195676 " " absolute error = 4.02344824124156730000000000000E-13 " " relative error = 5.931273290949239000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7559999999999278 " " y[1] (analytic) = 6.789234082386334 " " y[1] (numeric) = 6.789234082386736 " " absolute error = 4.02344824124156730000000000000E-13 " " relative error = 5.926218174859827000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7569999999999277 " " y[1] (analytic) = 6.795026212050874 " " y[1] (numeric) = 6.795026212051278 " " absolute error = 4.041211809635570000000000000E-13 " " relative error = 5.947308639470062000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7579999999999276 " " y[1] (analytic) = 6.80082413674211 " " y[1] (numeric) = 6.800824136742515 " " absolute error = 4.0500935938325710000000000000E-13 " " relative error = 5.955298229153654000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7589999999999275 " " y[1] (analytic) = 6.806627862257965 " " y[1] (numeric) = 6.806627862258371 " " absolute error = 4.05897537802957230000000000000E-13 " " relative error = 5.9632691255770920000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7599999999999274 " " y[1] (analytic) = 6.812437394402167 " " y[1] (numeric) = 6.812437394402574 " " absolute error = 4.06785716222657360000000000000E-13 " " relative error = 5.971221351067627000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7609999999999273 " " y[1] (analytic) = 6.818252738984247 " " y[1] (numeric) = 6.818252738984655 " " absolute error = 4.0767389464235750000000000000E-13 " " relative error = 5.97915492793966000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7619999999999272 " " y[1] (analytic) = 6.824073901819552 " " y[1] (numeric) = 6.82407390181996 " " absolute error = 4.0856207306205760000000000000E-13 " " relative error = 5.987069878494717000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.762999999999927 " " y[1] (analytic) = 6.829900888729243 " " y[1] (numeric) = 6.829900888729653 " " absolute error = 4.09450251481757730000000000000E-13 " " relative error = 5.994966225021446000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.763999999999927 " " y[1] (analytic) = 6.835733705540310 " " y[1] (numeric) = 6.83573370554072 " " absolute error = 4.112266083211580000000000000E-13 " " relative error = 6.015837158604672000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7649999999999268 " " y[1] (analytic) = 6.841572358085567 " " y[1] (numeric) = 6.84157235808598 " " absolute error = 4.13002965160558230000000000000E-13 " " relative error = 6.0366673557498730000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.7659999999999267 " " y[1] (analytic) = 6.84741685220367 " " y[1] (numeric) = 6.847416852204083 " " absolute error = 4.13002965160558230000000000000E-13 " " relative error = 6.031514862829529000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.7669999999999266 " " y[1] (analytic) = 6.8532671937391125 " " y[1] (numeric) = 6.853267193739526 " " absolute error = 4.13891143580258360000000000000E-13 " " relative error = 6.0393259430826470000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593408840000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.7679999999999265 " " y[1] (analytic) = 6.859123388542236 " " y[1] (numeric) = 6.859123388542652 " " absolute error = 4.1566750041965860000000000000E-13 " " relative error = 6.0600674003620760000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7689999999999264 " " y[1] (analytic) = 6.864985442469236 " " y[1] (numeric) = 6.864985442469654 " " absolute error = 4.17443857259058860000000000000E-13 " " relative error = 6.080768280681310000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7699999999999263 " " y[1] (analytic) = 6.870853361382168 " " y[1] (numeric) = 6.870853361382586 " " absolute error = 4.183320356787590000000000000E-13 " " relative error = 6.088501874163206000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056162900000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.7709999999999262 " " y[1] (analytic) = 6.876727151148951 " " y[1] (numeric) = 6.87672715114937 " " absolute error = 4.1922021409845910000000000000E-13 " " relative error = 6.096217064950972000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.771999999999926 " " y[1] (analytic) = 6.882606817643374 " " y[1] (numeric) = 6.8826068176437945 " " absolute error = 4.20108392518159230000000000000E-13 " " relative error = 6.103913875208197000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.772999999999926 " " y[1] (analytic) = 6.888492366745106 " " y[1] (numeric) = 6.888492366745527 " " absolute error = 4.20996570937859360000000000000E-13 " " relative error = 6.111592327085429000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932458570000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.7739999999999259 " " y[1] (analytic) = 6.894383804339694 " " y[1] (numeric) = 6.894383804340117 " " absolute error = 4.2277292777725960000000000000E-13 " " relative error = 6.132135079441672000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.525926664621696000000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.7749999999999257 " " y[1] (analytic) = 6.900281136318578 " " y[1] (numeric) = 6.900281136319002 " " absolute error = 4.23661106196959740000000000000E-13 " " relative error = 6.139765870800308000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7759999999999256 " " y[1] (analytic) = 6.9061843685790905 " " y[1] (numeric) = 6.906184368579515 " " absolute error = 4.24549284616659860000000000000E-13 " " relative error = 6.1473783779683330000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.18438330488995800000000E-8 " " Order of pole = 0.49999999997194067 " " x[1] = 1.7769999999999255 " " y[1] (analytic) = 6.912093507024463 " " y[1] (numeric) = 6.912093507024890 " " absolute error = 4.2632564145606010000000000000E-13 " " relative error = 6.167822252734338000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7779999999999254 " " y[1] (analytic) = 6.9180085575638355 " " y[1] (numeric) = 6.918008557564263 " " absolute error = 4.27213819875760240000000000000E-13 " " relative error = 6.1753872710762140000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7789999999999253 " " y[1] (analytic) = 6.923929526112259 " " y[1] (numeric) = 6.923929526112687 " " absolute error = 4.28101998295460360000000000000E-13 " " relative error = 6.182934079281954000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7799999999999252 " " y[1] (analytic) = 6.929856418590703 " " y[1] (numeric) = 6.9298564185911316 " " absolute error = 4.2899017671516050000000000000E-13 " " relative error = 6.190462699404710000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.780999999999925 " " y[1] (analytic) = 6.935789240926058 " " y[1] (numeric) = 6.935789240926488 " " absolute error = 4.2987835513486060000000000000E-13 " " relative error = 6.197973153484458000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.781999999999925 " " y[1] (analytic) = 6.94172799905115 " " y[1] (numeric) = 6.941727999051581 " " absolute error = 4.31654711974260860000000000000E-13 " " relative error = 6.218260237699645000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7829999999999249 " " y[1] (analytic) = 6.947672698904736 " " y[1] (numeric) = 6.947672698905168 " " absolute error = 4.325428903939610000000000000E-13 " " relative error = 6.225723478052574000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.7839999999999248 " " y[1] (analytic) = 6.953623346431516 " " y[1] (numeric) = 6.953623346431950 " " absolute error = 4.3343106881366110000000000000E-13 " " relative error = 6.23316862619674000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7849999999999246 " " y[1] (analytic) = 6.959579947582138 " " y[1] (numeric) = 6.959579947582573 " " absolute error = 4.35207425653061360000000000000E-13 " " relative error = 6.253357658521603000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7859999999999245 " " y[1] (analytic) = 6.965542508313205 " " y[1] (numeric) = 6.965542508313641 " " absolute error = 4.3609560407276150000000000000E-13 " " relative error = 6.260755763851732000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7869999999999244 " " y[1] (analytic) = 6.9715110345872775 " " y[1] (numeric) = 6.9715110345877145 " " absolute error = 4.3698378249246160000000000000E-13 " " relative error = 6.268135850671168000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7879999999999243 " " y[1] (analytic) = 6.977485532372882 " " y[1] (numeric) = 6.97748553237332 " " absolute error = 4.37871960912161740000000000000E-13 " " relative error = 6.275497940921585000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7889999999999242 " " y[1] (analytic) = 6.983466007644517 " " y[1] (numeric) = 6.983466007644957 " " absolute error = 4.396483177515620000000000000E-13 " " relative error = 6.2955603602895290000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.789999999999924 " " y[1] (analytic) = 6.989452466382659 " " y[1] (numeric) = 6.989452466383100 " " absolute error = 4.4053649617126210000000000000E-13 " " relative error = 6.302875629959876000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.790999999999924 " " y[1] (analytic) = 6.995444914573765 " " y[1] (numeric) = 6.9954449145742075 " " absolute error = 4.42312853010662370000000000000E-13 " " relative error = 6.32286950168362000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7919999999999239 " " y[1] (analytic) = 7.001443358210286 " " y[1] (numeric) = 7.00144335821073 " " absolute error = 4.4320103143036250000000000000E-13 " " relative error = 6.330138069468776000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932178500000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.7929999999999238 " " y[1] (analytic) = 7.007447803290666 " " y[1] (numeric) = 7.00744780329111 " " absolute error = 4.4408920985006260000000000000E-13 " " relative error = 6.3373887657289480000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.7939999999999237 " " y[1] (analytic) = 7.01345825581935 " " y[1] (numeric) = 7.013458255819795 " " absolute error = 4.44977388269762740000000000000E-13 " " relative error = 6.3446216123200990000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.7949999999999235 " " y[1] (analytic) = 7.019474721806790 " " y[1] (numeric) = 7.019474721807236 " " absolute error = 4.467537451091630000000000000E-13 " " relative error = 6.364489692102917000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7959999999999234 " " y[1] (analytic) = 7.025497207269454 " " y[1] (numeric) = 7.0254972072699005 " " absolute error = 4.467537451091630000000000000E-13 " " relative error = 6.359033843852304000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.7969999999999233 " " y[1] (analytic) = 7.031525718229826 " " y[1] (numeric) = 7.031525718230275 " " absolute error = 4.48530101948563240000000000000E-13 " " relative error = 6.378844647978901000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.7979999999999232 " " y[1] (analytic) = 7.03756026071642 " " y[1] (numeric) = 7.0375602607168695 " " absolute error = 4.49418280368263370000000000000E-13 " " relative error = 6.3859954830782910000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.798999999999923 " " y[1] (analytic) = 7.043600840763778 " " y[1] (numeric) = 7.0436008407642285 " " absolute error = 4.5030645878796350000000000000E-13 " " relative error = 6.393128585337811000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.799999999999923 " " y[1] (analytic) = 7.04964746441248 " " y[1] (numeric) = 7.049647464412931 " " absolute error = 4.5119463720766360000000000000E-13 " " relative error = 6.400243976530056000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8009999999999229 " " y[1] (analytic) = 7.055700137709150 " " y[1] (numeric) = 7.055700137709604 " " absolute error = 4.52970994047063870000000000000E-13 " " relative error = 6.4199297760141880000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.8019999999999228 " " y[1] (analytic) = 7.061758866706464 " " y[1] (numeric) = 7.061758866706918 " " absolute error = 4.538591724667640000000000000E-13 " " relative error = 6.426999010211736000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.8029999999999227 " " y[1] (analytic) = 7.067823657463149 " " y[1] (numeric) = 7.067823657463604 " " absolute error = 4.5563552930616424000000000000E-13 " " relative error = 6.4466171114080310000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.8039999999999226 " " y[1] (analytic) = 7.073894516043997 " " y[1] (numeric) = 7.0738945160444535 " " absolute error = 4.5652370772586437000000000000E-13 " " relative error = 6.453640306488067000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8049999999999224 " " y[1] (analytic) = 7.079971448519867 " " y[1] (numeric) = 7.0799714485203245 " " absolute error = 4.5741188614556450000000000000E-13 " " relative error = 6.460645914627108000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342820800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.8059999999999223 " " y[1] (analytic) = 7.086054460967692 " " y[1] (numeric) = 7.086054460968150 " " absolute error = 4.5830006456526460000000000000E-13 " " relative error = 6.467633957510931000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8069999999999222 " " y[1] (analytic) = 7.092143559470486 " " y[1] (numeric) = 7.092143559470945 " " absolute error = 4.5918824298496475000000000000E-13 " " relative error = 6.474604456811767000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8079999999999221 " " y[1] (analytic) = 7.098238750117347 " " y[1] (numeric) = 7.098238750117807 " " absolute error = 4.6007642140466487000000000000E-13 " " relative error = 6.48155743418829000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.808999999999922 " " y[1] (analytic) = 7.104340039003466 " " y[1] (numeric) = 7.104340039003928 " " absolute error = 4.6185277824406510000000000000E-13 " " relative error = 6.5009948244094720000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.809999999999922 " " y[1] (analytic) = 7.110447432230132 " " y[1] (numeric) = 7.110447432230596 " " absolute error = 4.6362913508346537000000000000E-13 " " relative error = 6.520393259388065000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8109999999999218 " " y[1] (analytic) = 7.116560935904741 " " y[1] (numeric) = 7.1165609359052056 " " absolute error = 4.6451731350316550000000000000E-13 " " relative error = 6.527272339643229000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8119999999999217 " " y[1] (analytic) = 7.122680556140795 " " y[1] (numeric) = 7.12268055614126 " " absolute error = 4.6540549192286560000000000000E-13 " " relative error = 6.534133999897243000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8129999999999216 " " y[1] (analytic) = 7.128806299057914 " " y[1] (numeric) = 7.128806299058382 " " absolute error = 4.6718184876226587000000000000E-13 " " relative error = 6.553437267947718000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8139999999999215 " " y[1] (analytic) = 7.134938170781845 " " y[1] (numeric) = 7.134938170782313 " " absolute error = 4.680700271819660000000000000E-13 " " relative error = 6.5602534454853590000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.48786110923056600000000E-8 " " Order of pole = 0.49999999999170264 " " x[1] = 1.8149999999999213 " " y[1] (analytic) = 7.141076177444456 " " y[1] (numeric) = 7.141076177444925 " " absolute error = 4.6895820560166610000000000000E-13 " " relative error = 6.567052275438546000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8159999999999212 " " y[1] (analytic) = 7.147220325183757 " " y[1] (numeric) = 7.147220325184228 " " absolute error = 4.7073456244106640000000000000E-13 " " relative error = 6.586260686303436000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8169999999999211 " " y[1] (analytic) = 7.153370620143896 " " y[1] (numeric) = 7.153370620144368 " " absolute error = 4.7162274086076650000000000000E-13 " " relative error = 6.593014201342743000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.817999999999921 " " y[1] (analytic) = 7.1595270684751675 " " y[1] (numeric) = 7.15952706847564 " " absolute error = 4.7251091928046660000000000000E-13 " " relative error = 6.599750441073502000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.818999999999921 " " y[1] (analytic) = 7.165689676334021 " " y[1] (numeric) = 7.165689676334495 " " absolute error = 4.7339909770016675000000000000E-13 " " relative error = 6.606469426992525000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.8199999999999208 " " y[1] (analytic) = 7.171858449883064 " " y[1] (numeric) = 7.17185844988354 " " absolute error = 4.751754545395670000000000000E-13 " " relative error = 6.625555396276883000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.98387125794702400000000E-8 " " Order of pole = 0.49999999997304023 " " x[1] = 1.8209999999999207 " " y[1] (analytic) = 7.178033395291072 " " y[1] (numeric) = 7.178033395291548 " " absolute error = 4.7606363295926710000000000000E-13 " " relative error = 6.6322292854136620000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8219999999999206 " " y[1] (analytic) = 7.18421451873299 " " y[1] (numeric) = 7.184214518733467 " " absolute error = 4.7695181137896725000000000000E-13 " " relative error = 6.638885992829214000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.8229999999999205 " " y[1] (analytic) = 7.190401826389942 " " y[1] (numeric) = 7.19040182639042 " " absolute error = 4.7783998979866740000000000000E-13 " " relative error = 6.6455255399624120000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8239999999999204 " " y[1] (analytic) = 7.196595324449236 " " y[1] (numeric) = 7.1965953244497145 " " absolute error = 4.7872816821836750000000000000E-13 " " relative error = 6.652147948238359000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8249999999999202 " " y[1] (analytic) = 7.202795019104370 " " y[1] (numeric) = 7.20279501910485 " " absolute error = 4.7961634663806760000000000000E-13 " " relative error = 6.6587532390683710000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.18438330488995800000000E-8 " " Order of pole = 0.49999999997194067 " " x[1] = 1.8259999999999201 " " y[1] (analytic) = 7.209000916555041 " " y[1] (numeric) = 7.209000916555523 " " absolute error = 4.8139270347746790000000000000E-13 " " relative error = 6.67766184315469000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.82699999999992 " " y[1] (analytic) = 7.215213023007146 " " y[1] (numeric) = 7.215213023007629 " " absolute error = 4.8316906031686810000000000000E-13 " " relative error = 6.696532157487065000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217018300000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.82799999999992 " " y[1] (analytic) = 7.2214313446727925 " " y[1] (numeric) = 7.221431344673276 " " absolute error = 4.8316906031686810000000000000E-13 " " relative error = 6.6907658226689250000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8289999999999198 " " y[1] (analytic) = 7.227655887770301 " " y[1] (numeric) = 7.227655887770786 " " absolute error = 4.8494541715626840000000000000E-13 " " relative error = 6.709580874994753000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.8299999999999197 " " y[1] (analytic) = 7.2338866585242165 " " y[1] (numeric) = 7.233886658524703 " " absolute error = 4.8672177399566860000000000000E-13 " " relative error = 6.72835775526188000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217018300000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.8309999999999196 " " y[1] (analytic) = 7.240123663165310 " " y[1] (numeric) = 7.240123663165798 " " absolute error = 4.8760995241536875000000000000E-13 " " relative error = 6.734829059565959000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.8319999999999195 " " y[1] (analytic) = 7.246366907930587 " " y[1] (numeric) = 7.246366907931076 " " absolute error = 4.893863092547690000000000000E-13 " " relative error = 6.7535402978170160000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8329999999999194 " " y[1] (analytic) = 7.252616399063292 " " y[1] (numeric) = 7.252616399063783 " " absolute error = 4.9027448767446913000000000000E-13 " " relative error = 6.759967171816647000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8339999999999193 " " y[1] (analytic) = 7.258872142812918 " " y[1] (numeric) = 7.258872142813410 " " absolute error = 4.9116266609416925000000000000E-13 " " relative error = 6.766377151035431000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8349999999999191 " " y[1] (analytic) = 7.265134145435208 " " y[1] (numeric) = 7.265134145435700 " " absolute error = 4.9293902293356950000000000000E-13 " " relative error = 6.784995473804024000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.835999999999919 " " y[1] (analytic) = 7.271402413192165 " " y[1] (numeric) = 7.271402413192659 " " absolute error = 4.9382720135326963000000000000E-13 " " relative error = 6.7913611885561720000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621641900000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.836999999999919 " " y[1] (analytic) = 7.277676952352058 " " y[1] (numeric) = 7.277676952352553 " " absolute error = 4.9471537977296975000000000000E-13 " " relative error = 6.79771007990515000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8379999999999188 " " y[1] (analytic) = 7.283957769189427 " " y[1] (numeric) = 7.283957769189922 " " absolute error = 4.9560355819266990000000000000E-13 " " relative error = 6.804042169066854000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8389999999999187 " " y[1] (analytic) = 7.290244869985089 " " y[1] (numeric) = 7.290244869985585 " " absolute error = 4.96491736612370000000000000E-13 " " relative error = 6.810357477243223000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8399999999999186 " " y[1] (analytic) = 7.296538261026144 " " y[1] (numeric) = 7.296538261026642 " " absolute error = 4.9826809345177026000000000000E-13 " " relative error = 6.828828625667984000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8409999999999185 " " y[1] (analytic) = 7.302837948605986 " " y[1] (numeric) = 7.302837948606484 " " absolute error = 4.9826809345177026000000000000E-13 " " relative error = 6.822937835377861000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8419999999999184 " " y[1] (analytic) = 7.309143939024300 " " y[1] (numeric) = 7.309143939024800 " " absolute error = 5.0004445029117050000000000000E-13 " " relative error = 6.841354534302981000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.48786110923056600000000E-8 " " Order of pole = 0.49999999999170264 " " x[1] = 1.8429999999999183 " " y[1] (analytic) = 7.315456238587081 " " y[1] (numeric) = 7.315456238587582 " " absolute error = 5.0093262871087060000000000000E-13 " " relative error = 6.847592445001374000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8439999999999181 " " y[1] (analytic) = 7.321774853606626 " " y[1] (numeric) = 7.321774853607128 " " absolute error = 5.0182080713057080000000000000E-13 " " relative error = 6.853813688130267000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.844999999999918 " " y[1] (analytic) = 7.328099790401551 " " y[1] (numeric) = 7.328099790402054 " " absolute error = 5.0270898555027090000000000000E-13 " " relative error = 6.8600182848045580000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.845999999999918 " " y[1] (analytic) = 7.334431055296794 " " y[1] (numeric) = 7.334431055297299 " " absolute error = 5.0448534238967110000000000000E-13 " " relative error = 6.878315967335201000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8469999999999178 " " y[1] (analytic) = 7.340768654623620 " " y[1] (numeric) = 7.340768654624126 " " absolute error = 5.0537352080937130000000000000E-13 " " relative error = 6.8844768795575540000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8479999999999177 " " y[1] (analytic) = 7.34711259471963 " " y[1] (numeric) = 7.347112594720136 " " absolute error = 5.0626169922907140000000000000E-13 " " relative error = 6.89062121618936000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8489999999999176 " " y[1] (analytic) = 7.353462881928762 " " y[1] (numeric) = 7.3534628819292704 " " absolute error = 5.0803805606847160000000000000E-13 " " relative error = 6.908827367810372000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8499999999999175 " " y[1] (analytic) = 7.359819522601307 " " y[1] (numeric) = 7.359819522601816 " " absolute error = 5.0892623448817180000000000000E-13 " " relative error = 6.9149281843842450000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8509999999999174 " " y[1] (analytic) = 7.3661825230939035 " " y[1] (numeric) = 7.366182523094414 " " absolute error = 5.107025913275720000000000000E-13 " " relative error = 6.933070009145925000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8519999999999173 " " y[1] (analytic) = 7.372551889769555 " " y[1] (numeric) = 7.372551889770066 " " absolute error = 5.1159076974727210000000000000E-13 " " relative error = 6.9391274201430280000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8529999999999172 " " y[1] (analytic) = 7.3789276289976256 " " y[1] (numeric) = 7.378927628998139 " " absolute error = 5.1336712658667240000000000000E-13 " " relative error = 6.95720506282306000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.853999999999917 " " y[1] (analytic) = 7.385309747153857 " " y[1] (numeric) = 7.385309747154372 " " absolute error = 5.1425530500637250000000000000E-13 " " relative error = 6.963219182574646000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.854999999999917 " " y[1] (analytic) = 7.391698250620369 " " y[1] (numeric) = 7.391698250620884 " " absolute error = 5.1514348342607260000000000000E-13 " " relative error = 6.969216896574989000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8559999999999168 " " y[1] (analytic) = 7.398093145785663 " " y[1] (numeric) = 7.39809314578618 " " absolute error = 5.1691984026547290000000000000E-13 " " relative error = 6.9872037304631280000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.8569999999999167 " " y[1] (analytic) = 7.404494439044636 " " y[1] (numeric) = 7.404494439045155 " " absolute error = 5.1869619710487310000000000000E-13 " " relative error = 7.005153442613671000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.8579999999999166 " " y[1] (analytic) = 7.410902136798582 " " y[1] (numeric) = 7.410902136799102 " " absolute error = 5.1958437552457330000000000000E-13 " " relative error = 7.011081322267025000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8589999999999165 " " y[1] (analytic) = 7.4173162454552 " " y[1] (numeric) = 7.41731624545572 " " absolute error = 5.2047255394427340000000000000E-13 " " relative error = 7.016992895013499000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8599999999999164 " " y[1] (analytic) = 7.423736771428597 " " y[1] (numeric) = 7.423736771429119 " " absolute error = 5.2136073236397350000000000000E-13 " " relative error = 7.022888181737682000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8609999999999163 " " y[1] (analytic) = 7.4301637211393015 " " y[1] (numeric) = 7.430163721139824 " " absolute error = 5.2224891078367360000000000000E-13 " " relative error = 7.028767203309954000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.18438330488995800000000E-8 " " Order of pole = 0.49999999997194067 " " x[1] = 1.8619999999999162 " " y[1] (analytic) = 7.436597101014262 " " y[1] (numeric) = 7.436597101014786 " " absolute error = 5.2402526762307390000000000000E-13 " " relative error = 7.046573325205465000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.862999999999916 " " y[1] (analytic) = 7.443036917486861 " " y[1] (numeric) = 7.443036917487386 " " absolute error = 5.249134460427740000000000000E-13 " " relative error = 7.052409545484437000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.863999999999916 " " y[1] (analytic) = 7.449483176996914 " " y[1] (numeric) = 7.44948317699744 " " absolute error = 5.2580162446247410000000000000E-13 " " relative error = 7.058229570691357000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8649999999999158 " " y[1] (analytic) = 7.455935885990681 " " y[1] (numeric) = 7.455935885991209 " " absolute error = 5.2757798130187440000000000000E-13 " " relative error = 7.075945788283483000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8659999999999157 " " y[1] (analytic) = 7.462395050920872 " " y[1] (numeric) = 7.462395050921401 " " absolute error = 5.2935433814127460000000000000E-13 " " relative error = 7.0936252306282210000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217018300000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 1.8669999999999156 " " y[1] (analytic) = 7.468860678246653 " " y[1] (numeric) = 7.468860678247183 " " absolute error = 5.3024251656097480000000000000E-13 " " relative error = 7.099376188731524000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8679999999999155 " " y[1] (analytic) = 7.475332774433651 " " y[1] (numeric) = 7.475332774434182 " " absolute error = 5.3113069498067490000000000000E-13 " " relative error = 7.105111050001578000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8689999999999154 " " y[1] (analytic) = 7.481811345953963 " " y[1] (numeric) = 7.481811345954496 " " absolute error = 5.3290705182007510000000000000E-13 " " relative error = 7.1227010035245320000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8699999999999153 " " y[1] (analytic) = 7.4882963992861615 " " y[1] (numeric) = 7.488296399286695 " " absolute error = 5.3379523023977530000000000000E-13 " " relative error = 7.128393452623757000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8709999999999152 " " y[1] (analytic) = 7.4947879409153 " " y[1] (numeric) = 7.494787940915835 " " absolute error = 5.3468340865947540000000000000E-13 " " relative error = 7.134069874619792000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.871999999999915 " " y[1] (analytic) = 7.50128597733292 " " y[1] (numeric) = 7.501285977333456 " " absolute error = 5.3645976549887560000000000000E-13 " " relative error = 7.151570638953479000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.872999999999915 " " y[1] (analytic) = 7.507790515037060 " " y[1] (numeric) = 7.5077905150375965 " " absolute error = 5.3734794391857580000000000000E-13 " " relative error = 7.157204810687547000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8739999999999148 " " y[1] (analytic) = 7.514301560532257 " " y[1] (numeric) = 7.514301560532795 " " absolute error = 5.3823612233827590000000000000E-13 " " relative error = 7.162823024900684000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.8749999999999147 " " y[1] (analytic) = 7.5208191203295565 " " y[1] (numeric) = 7.5208191203300965 " " absolute error = 5.4001247917767610000000000000E-13 " " relative error = 7.1802348991211110000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8759999999999146 " " y[1] (analytic) = 7.527343200946520 " " y[1] (numeric) = 7.527343200947062 " " absolute error = 5.4090065759737630000000000000E-13 " " relative error = 7.185811024656895000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8769999999999145 " " y[1] (analytic) = 7.533873808907229 " " y[1] (numeric) = 7.533873808907772 " " absolute error = 5.4267701443677650000000000000E-13 " " relative error = 7.203160395322451000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8779999999999144 " " y[1] (analytic) = 7.540410950742292 " " y[1] (numeric) = 7.540410950742835 " " absolute error = 5.4356519285647660000000000000E-13 " " relative error = 7.20869454473124000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.8789999999999143 " " y[1] (analytic) = 7.546954632988850 " " y[1] (numeric) = 7.546954632989395 " " absolute error = 5.4534154969587690000000000000E-13 " " relative error = 7.225981554362454000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8799999999999142 " " y[1] (analytic) = 7.553504862190586 " " y[1] (numeric) = 7.553504862191132 " " absolute error = 5.462297281155770000000000000E-13 " " relative error = 7.231473840041527000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.880999999999914 " " y[1] (analytic) = 7.560061644897731 " " y[1] (numeric) = 7.560061644898278 " " absolute error = 5.4711790653527710000000000000E-13 " " relative error = 7.236950334982067000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.881999999999914 " " y[1] (analytic) = 7.566624987667067 " " y[1] (numeric) = 7.566624987667616 " " absolute error = 5.4889426337467740000000000000E-13 " " relative error = 7.25414916517373000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.8829999999999139 " " y[1] (analytic) = 7.5731948970619385 " " y[1] (numeric) = 7.573194897062490 " " absolute error = 5.5067062021407760000000000000E-13 " " relative error = 7.27131187958352000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8839999999999137 " " y[1] (analytic) = 7.579771379652255 " " y[1] (numeric) = 7.579771379652807 " " absolute error = 5.5244697705347790000000000000E-13 " " relative error = 7.288438521200135000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8849999999999136 " " y[1] (analytic) = 7.586354442014499 " " y[1] (numeric) = 7.586354442015052 " " absolute error = 5.533351554731780000000000000E-13 " " relative error = 7.293821554246339000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.8859999999999135 " " y[1] (analytic) = 7.592944090731734 " " y[1] (numeric) = 7.5929440907322885 " " absolute error = 5.5422333389287810000000000000E-13 " " relative error = 7.299188921585585000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.8869999999999134 " " y[1] (analytic) = 7.59954033239361 " " y[1] (numeric) = 7.599540332394165 " " absolute error = 5.5511151231257830000000000000E-13 " " relative error = 7.304540643680433000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8879999999999133 " " y[1] (analytic) = 7.606143173596367 " " y[1] (numeric) = 7.606143173596924 " " absolute error = 5.5688786915197850000000000000E-13 " " relative error = 7.321553860373478000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8889999999999132 " " y[1] (analytic) = 7.612752620942849 " " y[1] (numeric) = 7.612752620943406 " " absolute error = 5.5777604757167860000000000000E-13 " " relative error = 7.326864215148994000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.889999999999913 " " y[1] (analytic) = 7.619368681042502 " " y[1] (numeric) = 7.619368681043062 " " absolute error = 5.5955240441107890000000000000E-13 " " relative error = 7.343815843998764000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.890999999999913 " " y[1] (analytic) = 7.625991360511389 " " y[1] (numeric) = 7.625991360511950 " " absolute error = 5.604405828307790000000000000E-13 " " relative error = 7.349084943012532000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.8919999999999129 " " y[1] (analytic) = 7.632620665972187 " " y[1] (numeric) = 7.632620665972750 " " absolute error = 5.6221693967017930000000000000E-13 " " relative error = 7.365975125380716000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.8929999999999128 " " y[1] (analytic) = 7.6392566040542045 " " y[1] (numeric) = 7.6392566040547685 " " absolute error = 5.6399329650957950000000000000E-13 " " relative error = 7.382829583316582000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.8939999999999126 " " y[1] (analytic) = 7.645899181393380 " " y[1] (numeric) = 7.645899181393944 " " absolute error = 5.6488147492927960000000000000E-13 " " relative error = 7.388031957103787000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.8949999999999125 " " y[1] (analytic) = 7.65254840463229 " " y[1] (numeric) = 7.652548404632856 " " absolute error = 5.6576965334897980000000000000E-13 " " relative error = 7.39321887864838000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.8959999999999124 " " y[1] (analytic) = 7.659204280420159 " " y[1] (numeric) = 7.659204280420726 " " absolute error = 5.6665783176867990000000000000E-13 " " relative error = 7.398390368269364000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.8969999999999123 " " y[1] (analytic) = 7.665866815412864 " " y[1] (numeric) = 7.665866815413431 " " absolute error = 5.67546010188380000000000000E-13 " " relative error = 7.40354644627117000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.185696045087012000000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 1.8979999999999122 " " y[1] (analytic) = 7.6725360162729395 " " y[1] (numeric) = 7.672536016273508 " " absolute error = 5.6843418860808010000000000000E-13 " " relative error = 7.408687132943644000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.898999999999912 " " y[1] (analytic) = 7.679211889669587 " " y[1] (numeric) = 7.679211889670157 " " absolute error = 5.6932236702778030000000000000E-13 " " relative error = 7.413812448562043000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.899999999999912 " " y[1] (analytic) = 7.685894442278680 " " y[1] (numeric) = 7.685894442279252 " " absolute error = 5.7109872386718050000000000000E-13 " " relative error = 7.430478367301955000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.9009999999999119 " " y[1] (analytic) = 7.692583680782774 " " y[1] (numeric) = 7.692583680783346 " " absolute error = 5.7198690228688060000000000000E-13 " " relative error = 7.435562952870953000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9019999999999118 " " y[1] (analytic) = 7.699279611871106 " " y[1] (numeric) = 7.699279611871680 " " absolute error = 5.7287508070658080000000000000E-13 " " relative error = 7.440632235557407000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.9029999999999117 " " y[1] (analytic) = 7.7059822422396085 " " y[1] (numeric) = 7.705982242240183 " " absolute error = 5.746514375459810000000000000E-13 " " relative error = 7.457212065660934000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9039999999999115 " " y[1] (analytic) = 7.712691578590912 " " y[1] (numeric) = 7.712691578591488 " " absolute error = 5.7642779438538130000000000000E-13 " " relative error = 7.473756580458168000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.781038570462277600000000E-8 " " Order of pole = 0.49999999998255973 " " x[1] = 1.9049999999999114 " " y[1] (analytic) = 7.719407627634353 " " y[1] (numeric) = 7.71940762763493 " " absolute error = 5.7731597280508140000000000000E-13 " " relative error = 7.478760037731061000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056016400000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.9059999999999113 " " y[1] (analytic) = 7.726130396085981 " " y[1] (numeric) = 7.72613039608656 " " absolute error = 5.7909232964448170000000000000E-13 " " relative error = 7.495244060828262000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056016400000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.9069999999999112 " " y[1] (analytic) = 7.732859890668567 " " y[1] (numeric) = 7.732859890669147 " " absolute error = 5.7998050806418180000000000000E-13 " " relative error = 7.50020711954264900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.907999999999911 " " y[1] (analytic) = 7.739596118111604 " " y[1] (numeric) = 7.7395961181121855 " " absolute error = 5.817568649035820000000000000E-13 " " relative error = 7.516630790878088000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.908999999999911 " " y[1] (analytic) = 7.7463390851513205 " " y[1] (numeric) = 7.746339085151904 " " absolute error = 5.8353322174298230000000000000E-13 " " relative error = 7.5330193440865000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446015397700000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.9099999999999109 " " y[1] (analytic) = 7.753088798530685 " " y[1] (numeric) = 7.7530887985312695 " " absolute error = 5.8442140016268240000000000000E-13 " " relative error = 7.537917020548484000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056016400000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.9109999999999108 " " y[1] (analytic) = 7.75984526499941 " " y[1] (numeric) = 7.7598452649999965 " " absolute error = 5.8619775700208270000000000000E-13 " " relative error = 7.554245438966587000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.9119999999999107 " " y[1] (analytic) = 7.766608491313964 " " y[1] (numeric) = 7.766608491314551 " " absolute error = 5.8708593542178280000000000000E-13 " " relative error = 7.55910299944138000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9129999999999105 " " y[1] (analytic) = 7.773378484237573 " " y[1] (numeric) = 7.773378484238162 " " absolute error = 5.888622922611830000000000000E-13 " " relative error = 7.57537142254485000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9139999999999104 " " y[1] (analytic) = 7.780155250540231 " " y[1] (numeric) = 7.780155250540820 " " absolute error = 5.8975047068088320000000000000E-13 " " relative error = 7.580188976819359000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9149999999999103 " " y[1] (analytic) = 7.786938796998704 " " y[1] (numeric) = 7.786938796999295 " " absolute error = 5.9152682752028340000000000000E-13 " " relative error = 7.596397543900998000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9159999999999102 " " y[1] (analytic) = 7.79372913039654 " " y[1] (numeric) = 7.793729130397132 " " absolute error = 5.9241500593998350000000000000E-13 " " relative error = 7.601175201605215000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.91699999999991 " " y[1] (analytic) = 7.800526257524072 " " y[1] (numeric) = 7.800526257524666 " " absolute error = 5.9419136277938380000000000000E-13 " " relative error = 7.617324051774722000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.91799999999991 " " y[1] (analytic) = 7.8073301851784285 " " y[1] (numeric) = 7.8073301851790236 " " absolute error = 5.9507954119908390000000000000E-13 " " relative error = 7.622061922381523000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.525926664621696000000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.9189999999999099 " " y[1] (analytic) = 7.8141409201635375 " " y[1] (numeric) = 7.814140920164134 " " absolute error = 5.9685589803848420000000000000E-13 " " relative error = 7.638151194565261000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.9199999999999098 " " y[1] (analytic) = 7.820958469290135 " " y[1] (numeric) = 7.820958469290733 " " absolute error = 5.9774407645818430000000000000E-13 " " relative error = 7.642849387390216000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9209999999999097 " " y[1] (analytic) = 7.827782839375769 " " y[1] (numeric) = 7.827782839376368 " " absolute error = 5.9952043329758450000000000000E-13 " " relative error = 7.658879220330972000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9219999999999096 " " y[1] (analytic) = 7.834614037244812 " " y[1] (numeric) = 7.834614037245413 " " absolute error = 6.0129679013698480000000000000E-13 " " relative error = 7.674874438976729000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9229999999999094 " " y[1] (analytic) = 7.841452069728462 " " y[1] (numeric) = 7.841452069729065 " " absolute error = 6.0218496855668490000000000000E-13 " " relative error = 7.679508376788913000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9239999999999093 " " y[1] (analytic) = 7.848296943664752 " " y[1] (numeric) = 7.848296943665356 " " absolute error = 6.0396132539608520000000000000E-13 " " relative error = 7.695444371324542000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9249999999999092 " " y[1] (analytic) = 7.855148665898556 " " y[1] (numeric) = 7.855148665899161 " " absolute error = 6.0573768223548540000000000000E-13 " " relative error = 7.711345870068198000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9259999999999091 " " y[1] (analytic) = 7.862007243281597 " " y[1] (numeric) = 7.862007243282204 " " absolute error = 6.0751403907488570000000000000E-13 " " relative error = 7.727212914921072000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.926999999999909 " " y[1] (analytic) = 7.868872682672453 " " y[1] (numeric) = 7.868872682673062 " " absolute error = 6.0840221749458580000000000000E-13 " " relative error = 7.731758309348552000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.927999999999909 " " y[1] (analytic) = 7.875744990936565 " " y[1] (numeric) = 7.875744990937174 " " absolute error = 6.0929039591428590000000000000E-13 " " relative error = 7.736289031900594000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9289999999999088 " " y[1] (analytic) = 7.8826241749462405 " " y[1] (numeric) = 7.882624174946850 " " absolute error = 6.101785743339860000000000000E-13 " " relative error = 7.740805102358536000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9299999999999087 " " y[1] (analytic) = 7.8895102415806635 " " y[1] (numeric) = 7.8895102415812755 " " absolute error = 6.1195493117338630000000000000E-13 " " relative error = 7.756564253483763000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.9309999999999086 " " y[1] (analytic) = 7.8964031977259035 " " y[1] (numeric) = 7.896403197726516 " " absolute error = 6.1284310959308640000000000000E-13 " " relative error = 7.761041251915556000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9319999999999085 " " y[1] (analytic) = 7.903303050274915 " " y[1] (numeric) = 7.90330305027553 " " absolute error = 6.1461946643248670000000000000E-13 " " relative error = 7.776741730928656000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061903470600000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9329999999999083 " " y[1] (analytic) = 7.910209806127553 " " y[1] (numeric) = 7.910209806128169 " " absolute error = 6.1550764485218680000000000000E-13 " " relative error = 7.781179765616215000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9339999999999082 " " y[1] (analytic) = 7.917123472190572 " " y[1] (numeric) = 7.917123472191190 " " absolute error = 6.172840016915870000000000000E-13 " " relative error = 7.79682171005465100000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9349999999999081 " " y[1] (analytic) = 7.924044055377640 " " y[1] (numeric) = 7.924044055378259 " " absolute error = 6.1817218011128720000000000000E-13 " " relative error = 7.8012208891212000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.935999999999908 " " y[1] (analytic) = 7.930971562609340 " " y[1] (numeric) = 7.930971562609960 " " absolute error = 6.1994853695068740000000000000E-13 " " relative error = 7.816804436337184000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.936999999999908 " " y[1] (analytic) = 7.937906000813181 " " y[1] (numeric) = 7.937906000813803 " " absolute error = 6.2172489379008770000000000000E-13 " " relative error = 7.832353944811093000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9379999999999078 " " y[1] (analytic) = 7.944847376923601 " " y[1] (numeric) = 7.9448473769242245 " " absolute error = 6.2350125062948790000000000000E-13 " " relative error = 7.847869456126917000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9389999999999077 " " y[1] (analytic) = 7.951795697881977 " " y[1] (numeric) = 7.951795697882601 " " absolute error = 6.243894290491880000000000000E-13 " " relative error = 7.85218147915318100000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.48786110923140600000000E-8 " " Order of pole = 0.49999999999170264 " " x[1] = 1.9399999999999076 " " y[1] (analytic) = 7.958750970636629 " " y[1] (numeric) = 7.958750970637255 " " absolute error = 6.2616578588858830000000000000E-13 " " relative error = 7.867638882015436000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9409999999999075 " " y[1] (analytic) = 7.965713202142832 " " y[1] (numeric) = 7.965713202143460 " " absolute error = 6.2705396430828840000000000000E-13 " " relative error = 7.871912387450838000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9419999999999074 " " y[1] (analytic) = 7.972682399362817 " " y[1] (numeric) = 7.972682399363446 " " absolute error = 6.2883032114768870000000000000E-13 " " relative error = 7.88731181864143000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.9429999999999072 " " y[1] (analytic) = 7.9796585692657835 " " y[1] (numeric) = 7.979658569266413 " " absolute error = 6.2971849956738880000000000000E-13 " " relative error = 7.891546913959375000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9439999999999071 " " y[1] (analytic) = 7.986641718827900 " " y[1] (numeric) = 7.9866417188285315 " " absolute error = 6.3060667798708890000000000000E-13 " " relative error = 7.895767710481887000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.944999999999907 " " y[1] (analytic) = 7.993631855032318 " " y[1] (numeric) = 7.993631855032950 " " absolute error = 6.3238303482648920000000000000E-13 " " relative error = 7.911085302588436000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.945999999999907 " " y[1] (analytic) = 8.000628984869174 " " y[1] (numeric) = 8.000628984869808 " " absolute error = 6.3415939166588940000000000000E-13 " " relative error = 7.926369200036829000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.9469999999999068 " " y[1] (analytic) = 8.007633115335597 " " y[1] (numeric) = 8.007633115336233 " " absolute error = 6.3593574850528970000000000000E-13 " " relative error = 7.941619444170025000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9479999999999067 " " y[1] (analytic) = 8.014644253435723 " " y[1] (numeric) = 8.014644253436359 " " absolute error = 6.3593574850528970000000000000E-13 " " relative error = 7.93467218751071000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.781038570462277600000000E-8 " " Order of pole = 0.49999999998255973 " " x[1] = 1.9489999999999066 " " y[1] (analytic) = 8.021662406180683 " " y[1] (numeric) = 8.02166240618132 " " absolute error = 6.3771210534468990000000000000E-13 " " relative error = 7.94987464011616000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056016400000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.9499999999999065 " " y[1] (analytic) = 8.028687580588636 " " y[1] (numeric) = 8.028687580589274 " " absolute error = 6.3771210534468990000000000000E-13 " " relative error = 7.94291842774551000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.9509999999999064 " " y[1] (analytic) = 8.035719783684755 " " y[1] (numeric) = 8.035719783685394 " " absolute error = 6.3948846218409020000000000000E-13 " " relative error = 7.958073195664057000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9519999999999063 " " y[1] (analytic) = 8.042759022501244 " " y[1] (numeric) = 8.042759022501885 " " absolute error = 6.4126481902349040000000000000E-13 " " relative error = 7.973194487481503000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.1240240908583800000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9529999999999061 " " y[1] (analytic) = 8.049805304077342 " " y[1] (numeric) = 8.049805304077985 " " absolute error = 6.4304117586289070000000000000E-13 " " relative error = 7.98828234438392000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.98387125794702400000000E-8 " " Order of pole = 0.49999999997304023 " " x[1] = 1.953999999999906 " " y[1] (analytic) = 8.056858635459331 " " y[1] (numeric) = 8.056858635459976 " " absolute error = 6.4481753270229090000000000000E-13 " " relative error = 8.003336807528945000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.954999999999906 " " y[1] (analytic) = 8.063919023700546 " " y[1] (numeric) = 8.06391902370119 " " absolute error = 6.4481753270229090000000000000E-13 " " relative error = 7.996329462226954000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9559999999999058 " " y[1] (analytic) = 8.070986475861371 " " y[1] (numeric) = 8.070986475862018 " " absolute error = 6.4659388954169120000000000000E-13 " " relative error = 8.011336550687057000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.9569999999999057 " " y[1] (analytic) = 8.078060999009264 " " y[1] (numeric) = 8.07806099900991 " " absolute error = 6.4659388954169120000000000000E-13 " " relative error = 8.004320462806518000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9579999999999056 " " y[1] (analytic) = 8.085142600218742 " " y[1] (numeric) = 8.085142600219392 " " absolute error = 6.5014660322049170000000000000E-13 " " relative error = 8.041250913779828000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9589999999999055 " " y[1] (analytic) = 8.092231286571412 " " y[1] (numeric) = 8.092231286572064 " " absolute error = 6.5192296005989190000000000000E-13 " " relative error = 8.05615827048493000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932555700000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.9599999999999054 " " y[1] (analytic) = 8.099327065155961 " " y[1] (numeric) = 8.099327065156613 " " absolute error = 6.5192296005989190000000000000E-13 " " relative error = 8.049100311858296000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.9609999999999053 " " y[1] (analytic) = 8.106429943068166 " " y[1] (numeric) = 8.10642994306882 " " absolute error = 6.5369931689929220000000000000E-13 " " relative error = 8.063960602759203000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.9619999999999052 " " y[1] (analytic) = 8.113539927410905 " " y[1] (numeric) = 8.113539927411562 " " absolute error = 6.5725203057809270000000000000E-13 " " relative error = 8.100681533070696000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.962999999999905 " " y[1] (analytic) = 8.120657025294166 " " y[1] (numeric) = 8.120657025294824 " " absolute error = 6.5725203057809270000000000000E-13 " " relative error = 8.093581942087797000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.963999999999905 " " y[1] (analytic) = 8.127781243835045 " " y[1] (numeric) = 8.127781243835704 " " absolute error = 6.5902838741749290000000000000E-13 " " relative error = 8.108343072315937000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9649999999999048 " " y[1] (analytic) = 8.13491259015776 " " y[1] (numeric) = 8.134912590158422 " " absolute error = 6.6080474425689320000000000000E-13 " " relative error = 8.123071230739286000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621641900000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9659999999999047 " " y[1] (analytic) = 8.142051071393663 " " y[1] (numeric) = 8.142051071394324 " " absolute error = 6.6080474425689320000000000000E-13 " " relative error = 8.115949389934055000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.32417594593512900000000E-8 " " Order of pole = 0.49999999998660627 " " x[1] = 1.9669999999999046 " " y[1] (analytic) = 8.149196694681232 " " y[1] (numeric) = 8.149196694681892 " " absolute error = 6.6080474425689320000000000000E-13 " " relative error = 8.108832919546332000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9679999999999045 " " y[1] (analytic) = 8.15634946716609 " " y[1] (numeric) = 8.156349467166752 " " absolute error = 6.6258110109629340000000000000E-13 " " relative error = 8.123500639146917000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 1.9689999999999044 " " y[1] (analytic) = 8.163509396001011 " " y[1] (numeric) = 8.163509396001675 " " absolute error = 6.6435745793569370000000000000E-13 " " relative error = 8.138135521239638000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.9699999999999043 " " y[1] (analytic) = 8.170676488345926 " " y[1] (numeric) = 8.170676488346592 " " absolute error = 6.6613381477509390000000000000E-13 " " relative error = 8.152737606552163000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 1.9709999999999042 " " y[1] (analytic) = 8.177850751367927 " " y[1] (numeric) = 8.177850751368593 " " absolute error = 6.6613381477509390000000000000E-13 " " relative error = 8.145585374784057000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.971999999999904 " " y[1] (analytic) = 8.185032192241279 " " y[1] (numeric) = 8.185032192241945 " " absolute error = 6.6613381477509390000000000000E-13 " " relative error = 8.138438544035694000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.972999999999904 " " y[1] (analytic) = 8.192220818147419 " " y[1] (numeric) = 8.192220818148087 " " absolute error = 6.6791017161449420000000000000E-13 " " relative error = 8.152980570725566000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9739999999999038 " " y[1] (analytic) = 8.199416636274979 " " y[1] (numeric) = 8.199416636275647 " " absolute error = 6.6791017161449420000000000000E-13 " " relative error = 8.145825504946264000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9749999999999037 " " y[1] (analytic) = 8.206619653819773 " " y[1] (numeric) = 8.206619653820443 " " absolute error = 6.6968652845389440000000000000E-13 " " relative error = 8.160321261412288000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9759999999999036 " " y[1] (analytic) = 8.213829877984823 " " y[1] (numeric) = 8.213829877985495 " " absolute error = 6.7146288529329470000000000000E-13 " " relative error = 8.174784421734712000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9769999999999035 " " y[1] (analytic) = 8.221047315980352 " " y[1] (numeric) = 8.221047315981025 " " absolute error = 6.7323924213269490000000000000E-13 " " relative error = 8.189215026460553000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061903470600000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9779999999999034 " " y[1] (analytic) = 8.228271975023798 " " y[1] (numeric) = 8.228271975024473 " " absolute error = 6.7501559897209520000000000000E-13 " " relative error = 8.20361311610804900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9789999999999033 " " y[1] (analytic) = 8.235503862339822 " " y[1] (numeric) = 8.235503862340499 " " absolute error = 6.7679195581149540000000000000E-13 " " relative error = 8.217978731166661000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 6.08836190056162900000000E-8 " " Order of pole = 0.49999999997216804 " " x[1] = 1.9799999999999032 " " y[1] (analytic) = 8.242742985160312 " " y[1] (numeric) = 8.242742985160989 " " absolute error = 6.7679195581149540000000000000E-13 " " relative error = 8.210761357353332000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.980999999999903 " " y[1] (analytic) = 8.249989350724388 " " y[1] (numeric) = 8.249989350725068 " " absolute error = 6.8034466949029590000000000000E-13 " " relative error = 8.246612699331042000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.981999999999903 " " y[1] (analytic) = 8.257242966278422 " " y[1] (numeric) = 8.257242966279103 " " absolute error = 6.8034466949029590000000000000E-13 " " relative error = 8.239368421987108000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9829999999999028 " " y[1] (analytic) = 8.264503839076024 " " y[1] (numeric) = 8.264503839076708 " " absolute error = 6.8389738316909640000000000000E-13 " " relative error = 8.275117254293107000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932178500000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 1.9839999999999027 " " y[1] (analytic) = 8.271771976378073 " " y[1] (numeric) = 8.271771976378758 " " absolute error = 6.8567374000849670000000000000E-13 " " relative error = 8.289321102740671000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.9849999999999026 " " y[1] (analytic) = 8.279047385452703 " " y[1] (numeric) = 8.27904738545339 " " absolute error = 6.8745009684789690000000000000E-13 " " relative error = 8.303492718930812000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.9859999999999025 " " y[1] (analytic) = 8.286330073575325 " " y[1] (numeric) = 8.286330073576014 " " absolute error = 6.8922645368729720000000000000E-13 " " relative error = 8.317632143151097000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9869999999999024 " " y[1] (analytic) = 8.293620048028629 " " y[1] (numeric) = 8.293620048029318 " " absolute error = 6.8922645368729720000000000000E-13 " " relative error = 8.310321062406572000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 1.9879999999999023 " " y[1] (analytic) = 8.300917316102588 " " y[1] (numeric) = 8.300917316103279 " " absolute error = 6.9100281052669740000000000000E-13 " " relative error = 8.324415052132265000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9889999999999022 " " y[1] (analytic) = 8.308221885094472 " " y[1] (numeric) = 8.308221885095165 " " absolute error = 6.9277916736609770000000000000E-13 " " relative error = 8.338476956290631000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.989999999999902 " " y[1] (analytic) = 8.31553376230885 " " y[1] (numeric) = 8.315533762309544 " " absolute error = 6.9455552420549790000000000000E-13 " " relative error = 8.352506815060434000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.990999999999902 " " y[1] (analytic) = 8.322852955057598 " " y[1] (numeric) = 8.322852955058295 " " absolute error = 6.9633188104489820000000000000E-13 " " relative error = 8.366504668591483000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.9919999999999018 " " y[1] (analytic) = 8.330179470659914 " " y[1] (numeric) = 8.330179470660612 " " absolute error = 6.9810823788429840000000000000E-13 " " relative error = 8.380470557004633000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9929999999999017 " " y[1] (analytic) = 8.337513316442312 " " y[1] (numeric) = 8.33751331644301 " " absolute error = 6.9810823788429840000000000000E-13 " " relative error = 8.373098925162343000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9939999999999016 " " y[1] (analytic) = 8.344854499738636 " " y[1] (numeric) = 8.344854499739336 " " absolute error = 6.9988459472369870000000000000E-13 " " relative error = 8.387019746666875000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 1.9949999999999015 " " y[1] (analytic) = 8.352203027890072 " " y[1] (numeric) = 8.352203027890774 " " absolute error = 7.0166095156309890000000000000E-13 " " relative error = 8.40090870899664900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 1.9959999999999014 " " y[1] (analytic) = 8.359558908245148 " " y[1] (numeric) = 8.359558908245852 " " absolute error = 7.0343730840249920000000000000E-13 " " relative error = 8.414765852163436000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.9969999999999013 " " y[1] (analytic) = 8.366922148159748 " " y[1] (numeric) = 8.366922148160452 " " absolute error = 7.0343730840249920000000000000E-13 " " relative error = 8.407360507796954000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 1.9979999999999012 " " y[1] (analytic) = 8.374292754997107 " " y[1] (numeric) = 8.374292754997814 " " absolute error = 7.0699002208129970000000000000E-13 " " relative error = 8.442384840909994000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 1.998999999999901 " " y[1] (analytic) = 8.381670736127838 " " y[1] (numeric) = 8.381670736128546 " " absolute error = 7.0876637892069990000000000000E-13 " " relative error = 8.456146766368154000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 1.999999999999901 " " y[1] (analytic) = 8.389056098929919 " " y[1] (numeric) = 8.389056098930629 " " absolute error = 7.1054273576010020000000000000E-13 " " relative error = 8.469877032420069000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.000999999999901 " " y[1] (analytic) = 8.396448850788715 " " y[1] (numeric) = 8.396448850789426 " " absolute error = 7.1054273576010020000000000000E-13 " " relative error = 8.462419629857637000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0019999999999007 " " y[1] (analytic) = 8.403848999096978 " " y[1] (numeric) = 8.40384899909769 " " absolute error = 7.1231909259950040000000000000E-13 " " relative error = 8.476105325976724000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0029999999999006 " " y[1] (analytic) = 8.411256551254857 " " y[1] (numeric) = 8.41125655125557 " " absolute error = 7.1409544943890070000000000000E-13 " " relative error = 8.489759468011547000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 2.0039999999999005 " " y[1] (analytic) = 8.418671514669905 " " y[1] (numeric) = 8.41867151467062 " " absolute error = 7.1587180627830090000000000000E-13 " " relative error = 8.503382095748276000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0049999999999004 " " y[1] (analytic) = 8.426093896757084 " " y[1] (numeric) = 8.426093896757804 " " absolute error = 7.1942451995710140000000000000E-13 " " relative error = 8.5380548658967990000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0059999999999003 " " y[1] (analytic) = 8.433523704938782 " " y[1] (numeric) = 8.433523704939502 " " absolute error = 7.1942451995710140000000000000E-13 " " relative error = 8.53053296732654000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932555700000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 2.0069999999999 " " y[1] (analytic) = 8.440960946644802 " " y[1] (numeric) = 8.440960946645523 " " absolute error = 7.2120087679650170000000000000E-13 " " relative error = 8.544061290594785000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342584870000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 2.0079999999999 " " y[1] (analytic) = 8.44840562931239 " " y[1] (numeric) = 8.448405629313113 " " absolute error = 7.2297723363590190000000000000E-13 " " relative error = 8.557558258418335000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.0089999999999 " " y[1] (analytic) = 8.455857760386227 " " y[1] (numeric) = 8.455857760386952 " " absolute error = 7.2475359047530220000000000000E-13 " " relative error = 8.571023910437663000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0099999999999 " " y[1] (analytic) = 8.463317347318448 " " y[1] (numeric) = 8.463317347319173 " " absolute error = 7.2475359047530220000000000000E-13 " " relative error = 8.563469390698626000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 2.0109999999998998 " " y[1] (analytic) = 8.470784397568636 " " y[1] (numeric) = 8.470784397569362 " " absolute error = 7.2652994731470240000000000000E-13 " " relative error = 8.57689103175897100000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0119999999998996 " " y[1] (analytic) = 8.478258918603844 " " y[1] (numeric) = 8.478258918604572 " " absolute error = 7.2830630415410270000000000000E-13 " " relative error = 8.590281461633357000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.0129999999998995 " " y[1] (analytic) = 8.485740917898594 " " y[1] (numeric) = 8.485740917899324 " " absolute error = 7.3008266099350290000000000000E-13 " " relative error = 8.603640719852431000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.0139999999998994 " " y[1] (analytic) = 8.493230402934888 " " y[1] (numeric) = 8.493230402935618 " " absolute error = 7.3008266099350290000000000000E-13 " " relative error = 8.59605387299064000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0149999999998993 " " y[1] (analytic) = 8.500727381202207 " " y[1] (numeric) = 8.500727381202939 " " absolute error = 7.3185901783290320000000000000E-13 " " relative error = 8.609369351748353000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.015999999999899 " " y[1] (analytic) = 8.508231860197533 " " y[1] (numeric) = 8.508231860198267 " " absolute error = 7.3363537467230340000000000000E-13 " " relative error = 8.622653763167084000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.016999999999899 " " y[1] (analytic) = 8.515743847425345 " " y[1] (numeric) = 8.51574384742608 " " absolute error = 7.3541173151170370000000000000E-13 " " relative error = 8.635907146667505000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.017999999999899 " " y[1] (analytic) = 8.52326335039763 " " y[1] (numeric) = 8.523263350398366 " " absolute error = 7.3718808835110390000000000000E-13 " " relative error = 8.649129541641025000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.525926664621696000000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.018999999999899 " " y[1] (analytic) = 8.530790376633892 " " y[1] (numeric) = 8.53079037663463 " " absolute error = 7.3896444519050420000000000000E-13 " " relative error = 8.662320987449786000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0199999999998988 " " y[1] (analytic) = 8.538324933661158 " " y[1] (numeric) = 8.5383249336619 " " absolute error = 7.4074080202990440000000000000E-13 " " relative error = 8.675481523426648000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0209999999998987 " " y[1] (analytic) = 8.545867029013987 " " y[1] (numeric) = 8.54586702901473 " " absolute error = 7.4251715886930470000000000000E-13 " " relative error = 8.688611188875186000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0219999999998985 " " y[1] (analytic) = 8.553416670234474 " " y[1] (numeric) = 8.553416670235217 " " absolute error = 7.4251715886930470000000000000E-13 " " relative error = 8.680942218718665000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0229999999998984 " " y[1] (analytic) = 8.56097386487226 " " y[1] (numeric) = 8.560973864873004 " " absolute error = 7.4429351570870500000000000000E-13 " " relative error = 8.694028593671109000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0239999999998983 " " y[1] (analytic) = 8.568538620484542 " " y[1] (numeric) = 8.568538620485286 " " absolute error = 7.4429351570870500000000000000E-13 " " relative error = 8.68635304892418000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.024999999999898 " " y[1] (analytic) = 8.576110944636074 " " y[1] (numeric) = 8.57611094463682 " " absolute error = 7.4606987254810520000000000000E-13 " " relative error = 8.699396234078972000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.025999999999898 " " y[1] (analytic) = 8.583690844899184 " " y[1] (numeric) = 8.58369084489993 " " absolute error = 7.4606987254810520000000000000E-13 " " relative error = 8.691714159200568000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.026999999999898 " " y[1] (analytic) = 8.591278328853768 " " y[1] (numeric) = 8.591278328854518 " " absolute error = 7.4962258622690570000000000000E-13 " " relative error = 8.725390535996277000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.027999999999898 " " y[1] (analytic) = 8.598873404087314 " " y[1] (numeric) = 8.598873404088065 " " absolute error = 7.5139894306630600000000000000E-13 " " relative error = 8.738341731012604000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0289999999998978 " " y[1] (analytic) = 8.606476078194898 " " y[1] (numeric) = 8.606476078195652 " " absolute error = 7.5317529990570620000000000000E-13 " " relative error = 8.751262340854323000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217018300000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 2.0299999999998977 " " y[1] (analytic) = 8.614086358779195 " " y[1] (numeric) = 8.61408635877995 " " absolute error = 7.5495165674510640000000000000E-13 " " relative error = 8.764152404574913000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0309999999998976 " " y[1] (analytic) = 8.621704253450485 " " y[1] (numeric) = 8.621704253451242 " " absolute error = 7.5672801358450670000000000000E-13 " " relative error = 8.777011961198474000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.0319999999998974 " " y[1] (analytic) = 8.629329769826663 " " y[1] (numeric) = 8.629329769827422 " " absolute error = 7.5850437042390700000000000000E-13 " " relative error = 8.789841049719705000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.71791714217083700000000E-8 " " Order of pole = 0.49999999999382183 " " x[1] = 2.0329999999998973 " " y[1] (analytic) = 8.636962915533246 " " y[1] (numeric) = 8.636962915534006 " " absolute error = 7.6028072726330720000000000000E-13 " " relative error = 8.802639709103897000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0339999999998972 " " y[1] (analytic) = 8.644603698203383 " " y[1] (numeric) = 8.644603698204143 " " absolute error = 7.6028072726330720000000000000E-13 " " relative error = 8.7948592417408000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.034999999999897 " " y[1] (analytic) = 8.652252125477853 " " y[1] (numeric) = 8.652252125478617 " " absolute error = 7.6383344094210770000000000000E-13 " " relative error = 8.828145896175236000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.035999999999897 " " y[1] (analytic) = 8.659908205005088 " " y[1] (numeric) = 8.659908205005852 " " absolute error = 7.6383344094210770000000000000E-13 " " relative error = 8.820341080528334000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.036999999999897 " " y[1] (analytic) = 8.667571944441164 " " y[1] (numeric) = 8.667571944441931 " " absolute error = 7.6738615462090820000000000000E-13 " " relative error = 8.853530833546313000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409086063370000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.037999999999897 " " y[1] (analytic) = 8.675243351449826 " " y[1] (numeric) = 8.675243351450593 " " absolute error = 7.6738615462090820000000000000E-13 " " relative error = 8.845701769191995000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 2.0389999999998967 " " y[1] (analytic) = 8.682922433702476 " " y[1] (numeric) = 8.682922433703247 " " absolute error = 7.7093886829970870000000000000E-13 " " relative error = 8.878794831879817000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.796452446014532600000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.0399999999998966 " " y[1] (analytic) = 8.690609198878203 " " y[1] (numeric) = 8.690609198878974 " " absolute error = 7.7093886829970870000000000000E-13 " " relative error = 8.870941618215011000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.0409999999998965 " " y[1] (analytic) = 8.698303654663768 " " y[1] (numeric) = 8.69830365466454 " " absolute error = 7.727152251391090000000000000E-13 " " relative error = 8.88351632475836000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342820800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 2.0419999999998963 " " y[1] (analytic) = 8.70600580875363 " " y[1] (numeric) = 8.706005808754403 " " absolute error = 7.727152251391090000000000000E-13 " " relative error = 8.875657128119152000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0429999999998962 " " y[1] (analytic) = 8.713715668849943 " " y[1] (numeric) = 8.713715668850718 " " absolute error = 7.7449158197850920000000000000E-13 " " relative error = 8.888189739162426000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.772243002672997000000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 2.043999999999896 " " y[1] (analytic) = 8.721433242662567 " " y[1] (numeric) = 8.721433242663343 " " absolute error = 7.7626793881790950000000000000E-13 " " relative error = 8.90069231993482000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 2.044999999999896 " " y[1] (analytic) = 8.729158537909077 " " y[1] (numeric) = 8.729158537909855 " " absolute error = 7.7804429565730970000000000000E-13 " " relative error = 8.913164909062095000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.045999999999896 " " y[1] (analytic) = 8.736891562314769 " " y[1] (numeric) = 8.736891562315549 " " absolute error = 7.79820652496710000000000000E-13 " " relative error = 8.925607545140491000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.046999999999896 " " y[1] (analytic) = 8.744632323612668 " " y[1] (numeric) = 8.74463232361345 " " absolute error = 7.8159700933611020000000000000E-13 " " relative error = 8.938020266736717000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0479999999998957 " " y[1] (analytic) = 8.752380829543537 " " y[1] (numeric) = 8.75238082954432 " " absolute error = 7.8337336617551050000000000000E-13 " " relative error = 8.950403112387945000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0489999999998956 " " y[1] (analytic) = 8.760137087855881 " " y[1] (numeric) = 8.760137087856666 " " absolute error = 7.8514972301491070000000000000E-13 " " relative error = 8.962756120601792000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0499999999998955 " " y[1] (analytic) = 8.76790110630596 " " y[1] (numeric) = 8.767901106306747 " " absolute error = 7.869260798543110000000000000E-13 " " relative error = 8.975079329856334000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0509999999998954 " " y[1] (analytic) = 8.775672892657791 " " y[1] (numeric) = 8.77567289265858 " " absolute error = 7.8870243669371120000000000000E-13 " " relative error = 8.987372778600066000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.0519999999998952 " " y[1] (analytic) = 8.783452454683164 " " y[1] (numeric) = 8.783452454683955 " " absolute error = 7.9047879353311150000000000000E-13 " " relative error = 8.999636505251914000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621381300000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 2.052999999999895 " " y[1] (analytic) = 8.791239800161641 " " y[1] (numeric) = 8.791239800162433 " " absolute error = 7.9225515037251170000000000000E-13 " " relative error = 9.011870548201232000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.053999999999895 " " y[1] (analytic) = 8.799034936880567 " " y[1] (numeric) = 8.79903493688136 " " absolute error = 7.940315072119120000000000000E-13 " " relative error = 9.024074945807773000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.054999999999895 " " y[1] (analytic) = 8.806837872635079 " " y[1] (numeric) = 8.806837872635874 " " absolute error = 7.9580786405131220000000000000E-13 " " relative error = 9.036249736401699000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.055999999999895 " " y[1] (analytic) = 8.814648615228114 " " y[1] (numeric) = 8.814648615228911 " " absolute error = 7.9758422089071250000000000000E-13 " " relative error = 9.048394958283562000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0569999999998947 " " y[1] (analytic) = 8.822467172470416 " " y[1] (numeric) = 8.822467172471216 " " absolute error = 7.9936057773011270000000000000E-13 " " relative error = 9.060510649724303000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.0579999999998946 " " y[1] (analytic) = 8.830293552180542 " " y[1] (numeric) = 8.830293552181343 " " absolute error = 8.011369345695130000000000000E-13 " " relative error = 9.072596848965243000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.0589999999998945 " " y[1] (analytic) = 8.838127762184874 " " y[1] (numeric) = 8.838127762185676 " " absolute error = 8.0291329140891320000000000000E-13 " " relative error = 9.08465359421807000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.0599999999998944 " " y[1] (analytic) = 8.84596981031762 " " y[1] (numeric) = 8.845969810318424 " " absolute error = 8.0468964824831350000000000000E-13 " " relative error = 9.096680923664837000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0609999999998942 " " y[1] (analytic) = 8.85381970442083 " " y[1] (numeric) = 8.853819704421637 " " absolute error = 8.0646600508771370000000000000E-13 " " relative error = 9.10867887545795000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.061999999999894 " " y[1] (analytic) = 8.861677452344399 " " y[1] (numeric) = 8.861677452345209 " " absolute error = 8.1001871876651420000000000000E-13 " " relative error = 9.140692866814057000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.062999999999894 " " y[1] (analytic) = 8.869543061946077 " " y[1] (numeric) = 8.869543061946887 " " absolute error = 8.1001871876651420000000000000E-13 " " relative error = 9.132586798544581000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.063999999999894 " " y[1] (analytic) = 8.87741654109147 " " y[1] (numeric) = 8.877416541092284 " " absolute error = 8.1357143244531470000000000000E-13 " " relative error = 9.164506685920213000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.89923902342702800000000E-8 " " Order of pole = 0.499999999982359 " " x[1] = 2.064999999999894 " " y[1] (analytic) = 8.885297897654063 " " y[1] (numeric) = 8.885297897654878 " " absolute error = 8.153477892847150000000000000E-13 " " relative error = 9.176369759082438000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902454500000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 2.0659999999998937 " " y[1] (analytic) = 8.89318713951521 " " y[1] (numeric) = 8.893187139516026 " " absolute error = 8.1712414612411520000000000000E-13 " " relative error = 9.188203658656606000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0669999999998936 " " y[1] (analytic) = 8.901084274564155 " " y[1] (numeric) = 8.901084274564973 " " absolute error = 8.1712414612411520000000000000E-13 " " relative error = 9.180051788287623000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0679999999998935 " " y[1] (analytic) = 8.908989310698033 " " y[1] (numeric) = 8.908989310698852 " " absolute error = 8.1890050296351550000000000000E-13 " " relative error = 9.191845162280853000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.781038570463428400000000E-8 " " Order of pole = 0.49999999998255973 " " x[1] = 2.0689999999998934 " " y[1] (analytic) = 8.916902255821878 " " y[1] (numeric) = 8.9169022558227 " " absolute error = 8.224532166423160000000000000E-13 " " relative error = 9.223530695374992000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0699999999998933 " " y[1] (analytic) = 8.924823117848643 " " y[1] (numeric) = 8.924823117849465 " " absolute error = 8.224532166423160000000000000E-13 " " relative error = 9.2153447276451010000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.070999999999893 " " y[1] (analytic) = 8.932751904699183 " " y[1] (numeric) = 8.932751904700007 " " absolute error = 8.2422957348171620000000000000E-13 " " relative error = 9.227050994756949000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.071999999999893 " " y[1] (analytic) = 8.94068862430229 " " y[1] (numeric) = 8.940688624303116 " " absolute error = 8.2600593032111650000000000000E-13 " " relative error = 9.238728301932962000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.072999999999893 " " y[1] (analytic) = 8.948633284594681 " " y[1] (numeric) = 8.94863328459551 " " absolute error = 8.295586439999170000000000000E-13 " " relative error = 9.270227280718107000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267414500000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 2.073999999999893 " " y[1] (analytic) = 8.956585893521021 " " y[1] (numeric) = 8.956585893521853 " " absolute error = 8.3133500083931720000000000000E-13 " " relative error = 9.28182915591403000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267185200000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 2.0749999999998927 " " y[1] (analytic) = 8.964546459033917 " " y[1] (numeric) = 8.96454645903475 " " absolute error = 8.3311135767871750000000000000E-13 " " relative error = 9.293402198157601000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.77224300267414500000000E-8 " " Order of pole = 0.49999999998320455 " " x[1] = 2.0759999999998926 " " y[1] (analytic) = 8.972514989093936 " " y[1] (numeric) = 8.97251498909477 " " absolute error = 8.3488771451811770000000000000E-13 " " relative error = 9.304946445148559000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.03631163932361760000000E-8 " " Order of pole = 0.49999999998768097 " " x[1] = 2.0769999999998925 " " y[1] (analytic) = 8.980491491669609 " " y[1] (numeric) = 8.980491491670445 " " absolute error = 8.366640713575180000000000000E-13 " " relative error = 9.316461934556876000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 2.0779999999998924 " " y[1] (analytic) = 8.988475974737437 " " y[1] (numeric) = 8.988475974738277 " " absolute error = 8.4021678503631850000000000000E-13 " " relative error = 9.347711307209253000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.0789999999998923 " " y[1] (analytic) = 8.996468446281908 " " y[1] (numeric) = 8.996468446282748 " " absolute error = 8.4021678503631850000000000000E-13 " " relative error = 9.339406791156659000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.079999999999892 " " y[1] (analytic) = 9.00446891429549 " " y[1] (numeric) = 9.004468914296332 " " absolute error = 8.4199314187571870000000000000E-13 " " relative error = 9.350836233539226000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.080999999999892 " " y[1] (analytic) = 9.012477386778652 " " y[1] (numeric) = 9.012477386779498 " " absolute error = 8.4554585555451920000000000000E-13 " " relative error = 9.381947041497591000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646190400000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.081999999999892 " " y[1] (analytic) = 9.020493871739871 " " y[1] (numeric) = 9.020493871740717 " " absolute error = 8.4554585555451920000000000000E-13 " " relative error = 9.373609334224074000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043477360000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.082999999999892 " " y[1] (analytic) = 9.02851837719563 " " y[1] (numeric) = 9.028518377196477 " " absolute error = 8.4732221239391950000000000000E-13 " " relative error = 9.384953067538734000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0839999999998917 " " y[1] (analytic) = 9.036550911170433 " " y[1] (numeric) = 9.036550911171283 " " absolute error = 8.4909856923331970000000000000E-13 " " relative error = 9.396268306126796000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.41365179621511600000000E-8 " " Order of pole = 0.49999999997810995 " " x[1] = 2.0849999999998916 " " y[1] (analytic) = 9.044591481696818 " " y[1] (numeric) = 9.044591481697669 " " absolute error = 8.50874926072720000000000000E-13 " " relative error = 9.407555087419945000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.3147799704363700000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.0859999999998915 " " y[1] (analytic) = 9.052640096815356 " " y[1] (numeric) = 9.052640096816209 " " absolute error = 8.5265128291212020000000000000E-13 " " relative error = 9.41881344882003900000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 9.058451463462763000000000E-9 " " Order of pole = 0.49999999999894307 " " x[1] = 2.0869999999998914 " " y[1] (analytic) = 9.060696764574661 " " y[1] (numeric) = 9.060696764575516 " " absolute error = 8.5442763975152050000000000000E-13 " " relative error = 9.430043427699130000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0879999999998913 " " y[1] (analytic) = 9.068761493031403 " " y[1] (numeric) = 9.068761493032259 " " absolute error = 8.5620399659092070000000000000E-13 " " relative error = 9.441245061399433000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 2.110801061902962400000000E-8 " " Order of pole = 0.4999999999970228 " " x[1] = 2.088999999999891 " " y[1] (analytic) = 9.076834290250309 " " y[1] (numeric) = 9.076834290251167 " " absolute error = 8.579803534303210000000000000E-13 " " relative error = 9.452418387233339000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.089999999999891 " " y[1] (analytic) = 9.08491516430418 " " y[1] (numeric) = 9.08491516430504 " " absolute error = 8.5975671026972120000000000000E-13 " " relative error = 9.463563442483403000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.090999999999891 " " y[1] (analytic) = 9.093004123273888 " " y[1] (numeric) = 9.09300412327475 " " absolute error = 8.6153306710912150000000000000E-13 " " relative error = 9.474680264402333000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.091999999999891 " " y[1] (analytic) = 9.101101175248393 " " y[1] (numeric) = 9.101101175249257 " " absolute error = 8.6330942394852170000000000000E-13 " " relative error = 9.485768890212999000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0929999999998907 " " y[1] (analytic) = 9.109206328324749 " " y[1] (numeric) = 9.109206328325614 " " absolute error = 8.650857807879220000000000000E-13 " " relative error = 9.496829357108412000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085913200000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.0939999999998906 " " y[1] (analytic) = 9.11731959060811 " " y[1] (numeric) = 9.117319590608977 " " absolute error = 8.6686213762732220000000000000E-13 " " relative error = 9.507861702251724000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.0949999999998905 " " y[1] (analytic) = 9.125440970211738 " " y[1] (numeric) = 9.125440970212606 " " absolute error = 8.6863849446672250000000000000E-13 " " relative error = 9.518865962776234000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.79645244601496500000000E-8 " " Order of pole = 0.4999999999978719 " " x[1] = 2.0959999999998904 " " y[1] (analytic) = 9.133570475257013 " " y[1] (numeric) = 9.133570475257883 " " absolute error = 8.7041485130612270000000000000E-13 " " relative error = 9.529842175785366000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 4.18569604508801930000000E-8 " " Order of pole = 0.49999999998683364 " " x[1] = 2.0969999999998903 " " y[1] (analytic) = 9.14170811387344 " " y[1] (numeric) = 9.141708113874312 " " absolute error = 8.721912081455230000000000000E-13 " " relative error = 9.540790378352675000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.31477997043557200000000E-8 " " Order of pole = 0.49999999999192823 " " x[1] = 2.09799999999989 " " y[1] (analytic) = 9.14985389419866 " " y[1] (numeric) = 9.149853894199534 " " absolute error = 8.7396756498492320000000000000E-13 " " relative error = 9.551710607521837000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 3.12402409085988400000000E-8 " " Order of pole = 0.49999999999277556 " " x[1] = 2.09899999999989 " " y[1] (analytic) = 9.158007824378453 " " y[1] (numeric) = 9.158007824379329 " " absolute error = 8.7574392182432350000000000000E-13 " " relative error = 9.562602900306646000000000000E-12 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 5.5259266646203700000000E-8 " " Order of pole = 0.49999999997726263 " " x[1] = 2.09999999999989 " " y[1] (analytic) = 9.166169912566751 " " y[1] (numeric) = 9.166169912567629 " " absolute error = 8.7752027866372370000000000000E-13 " " relative error = 9.57346729369101000000000000E-12 "%" h = 1.000E-3 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 1 ) = y - 1.0;" Iterations = 1000 "Total Elapsed Time "= 3 Minutes 41 Seconds "Elapsed Time(since restart) "= 3 Minutes 41 Seconds "Expected Time Remaining "= 10 Minutes 41 Seconds "Optimized Time Remaining "= 10 Minutes 41 Seconds "Time to Timeout "= 11 Minutes 18 Seconds Percent Done = 25.666666666663843 "%" (%o51) true (%o51) diffeq.max