(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : arctan(array_x ), 1 1 array_tmp1_a1 : sin(array_tmp1 ), array_tmp1_a2 : cos(array_tmp1 ), 1 1 1 1 array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp2 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1 : (- att(1, array_tmp1_a2, array_tmp1, 2) 2 - array_x att(1, array_tmp1_a1, array_tmp1, 2) 1 + ats(2, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(1, array_tmp1_a2, array_tmp1, 1), 1 2 array_tmp1_a2 : - att(1, array_tmp1_a1, array_tmp1, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp2 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1 : (- att(2, array_tmp1_a2, array_tmp1, 2) 3 - array_x att(2, array_tmp1_a1, array_tmp1, 2) 1 + ats(3, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(2, array_tmp1_a2, array_tmp1, 1), 1 3 array_tmp1_a2 : - att(2, array_tmp1_a1, array_tmp1, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp2 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1 : (- att(3, array_tmp1_a2, array_tmp1, 2) 4 - array_x att(3, array_tmp1_a1, array_tmp1, 2) 1 + ats(4, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(3, array_tmp1_a2, array_tmp1, 1), 1 4 array_tmp1_a2 : - att(3, array_tmp1_a1, array_tmp1, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp2 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1 : (- att(4, array_tmp1_a2, array_tmp1, 2) 5 - array_x att(4, array_tmp1_a1, array_tmp1, 2) 1 + ats(5, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(4, array_tmp1_a2, array_tmp1, 1), 1 5 array_tmp1_a2 : - att(4, array_tmp1_a1, array_tmp1, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk (- att(kkk - 1, array_tmp1_a2, array_tmp1, 2) - array_x att(kkk - 1, array_tmp1_a1, array_tmp1, 2) 1 + ats(kkk, array_x, array_tmp1_a2, 2)) /(array_x array_tmp1_a1 + array_tmp1_a2 ), 1 1 1 array_tmp1_a1 : att(kkk - 1, array_tmp1_a2, array_tmp1, 1), kkk array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_tmp1, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : arctan(array_x ), 1 1 array_tmp1_a1 : sin(array_tmp1 ), array_tmp1_a2 : cos(array_tmp1 ), 1 1 1 1 array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp2 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1 : (- att(1, array_tmp1_a2, array_tmp1, 2) 2 - array_x att(1, array_tmp1_a1, array_tmp1, 2) 1 + ats(2, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(1, array_tmp1_a2, array_tmp1, 1), 1 2 array_tmp1_a2 : - att(1, array_tmp1_a1, array_tmp1, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp2 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1 : (- att(2, array_tmp1_a2, array_tmp1, 2) 3 - array_x att(2, array_tmp1_a1, array_tmp1, 2) 1 + ats(3, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(2, array_tmp1_a2, array_tmp1, 1), 1 3 array_tmp1_a2 : - att(2, array_tmp1_a1, array_tmp1, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp2 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1 : (- att(3, array_tmp1_a2, array_tmp1, 2) 4 - array_x att(3, array_tmp1_a1, array_tmp1, 2) 1 + ats(4, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(3, array_tmp1_a2, array_tmp1, 1), 1 4 array_tmp1_a2 : - att(3, array_tmp1_a1, array_tmp1, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp2 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1 : (- att(4, array_tmp1_a2, array_tmp1, 2) 5 - array_x att(4, array_tmp1_a1, array_tmp1, 2) 1 + ats(5, array_x, array_tmp1_a2, 2))/(array_x array_tmp1_a1 1 1 + array_tmp1_a2 ), array_tmp1_a1 : att(4, array_tmp1_a2, array_tmp1, 1), 1 5 array_tmp1_a2 : - att(4, array_tmp1_a1, array_tmp1, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk (- att(kkk - 1, array_tmp1_a2, array_tmp1, 2) - array_x att(kkk - 1, array_tmp1_a1, array_tmp1, 2) 1 + ats(kkk, array_x, array_tmp1_a2, 2)) /(array_x array_tmp1_a1 + array_tmp1_a2 ), 1 1 1 array_tmp1_a1 : att(kkk - 1, array_tmp1_a2, array_tmp1, 1), kkk array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_tmp1, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%o31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) factorial_1(nnn) := (if nnn <= glob_max_terms then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret) nnn nnn else ret : array_fact_1 ) else ret : nnn!, ret) nnn (%o39) factorial_1(nnn) := (if nnn <= glob_max_terms then (if array_fact_1 = 0 then (ret : nnn!, array_fact_1 : ret) nnn nnn else ret : array_fact_1 ) else ret : nnn!, ret) nnn (%i40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then (if array_fact_2 = 0 mmm, nnn factorial_1(mmm) then (ret : ----------------, array_fact_2 : ret) factorial_1(nnn) mmm, nnn mmm! else ret : array_fact_2 ) else ret : ----, ret) mmm, nnn nnn! (%o40) factorial_3(mmm, nnn) := (if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) then (if array_fact_2 = 0 mmm, nnn factorial_1(mmm) then (ret : ----------------, array_fact_2 : ret) factorial_1(nnn) mmm, nnn mmm! else ret : array_fact_2 ) else ret : ----, ret) mmm, nnn nnn! (%i41) convfp(mmm) := mmm (%o41) convfp(mmm) := mmm (%i42) convfloat(mmm) := mmm (%o42) convfloat(mmm) := mmm (%i43) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o43) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i44) arcsin(x) := asin(x) (%o44) arcsin(x) := asin(x) (%i45) arccos(x) := acos(x) (%o45) arccos(x) := acos(x) (%i46) arctan(x) := atan(x) (%o46) arctan(x) := atan(x) - log(1.0 + x x) (%i47) exact_soln_y(x) := ---------------- + x arctan(x) + 2.0 2.0 - log(1.0 + x x) (%o47) exact_soln_y(x) := ---------------- + x arctan(x) + 2.0 2.0 (%i48) mainprog() := (define_variable(glob_iolevel, 5, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_disp_incr, 0.1, float), define_variable(days_in_year, 365.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_not_yet_finished, true, boolean), define_variable(centuries_in_millinium, 10.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_initial_pass, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(djd_debug, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(years_in_century, 100.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(glob_dump, false, boolean), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/arctanpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : -1.0,"), omniout_str(ALWAYS, "x_end : 5.00 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_fact_1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 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_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_last_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), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, 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, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp1_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term array(array_tmp1_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term array(array_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_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_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), iiif, jjjf x_start : - 1.0, x_end : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_h : 1.0E-5, 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, factorial_1(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, factorial_1(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = arctan ( x ) ;"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-17T19:28:13-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "arctan"), logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 092 "), logitem_str(html_log_file, "arctan diffeq.max"), logitem_str(html_log_file, "\ arctan maxima results"), logitem_str(html_log_file, "Mostly affecting speed of factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o48) mainprog() := (define_variable(glob_iolevel, 5, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_disp_incr, 0.1, float), define_variable(days_in_year, 365.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_not_yet_finished, true, boolean), define_variable(centuries_in_millinium, 10.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_initial_pass, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(djd_debug, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(years_in_century, 100.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(glob_dump, false, boolean), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/arctanpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = arctan ( x ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : -1.0,"), omniout_str(ALWAYS, "x_end : 5.00 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_fact_2, 1 + max_terms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_fact_1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 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_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_last_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), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term 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 <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, 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, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp1_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term array(array_tmp1_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term array(array_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_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_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), iiif, jjjf x_start : - 1.0, x_end : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_h : 1.0E-5, 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, factorial_1(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, factorial_1(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = arctan ( x ) ;"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-17T19:28:13-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "arctan"), logitem_str(html_log_file, "diff ( y , x , 1 ) = arctan ( x ) ;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 092 "), logitem_str(html_log_file, "arctan diffeq.max"), logitem_str(html_log_file, "\ arctan maxima results"), logitem_str(html_log_file, "Mostly affecting speed of factorials"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i49) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/arctanpostode.ode#################" "diff ( y , x , 1 ) = arctan ( x ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : -1.0," "x_end : 5.00 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.00001 ," "glob_look_poles : true," "glob_max_iter : 100," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 + x * arctan(x) - log(x * x + 1.0)/2.0" ");" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = -1. " " y[1] (analytic) = 2.4388245731174756 " " y[1] (numeric) = 2.4388245731174756 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = -0.999 " " y[1] (analytic) = 2.438039425037432 " " y[1] (numeric) = 2.438039425037432 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.410682297775844 " " Order of pole = 0.9049422358367423 " " x[1] = -0.998 " " y[1] (analytic) = 2.437254777457681 " " y[1] (numeric) = 2.4372547774576807 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.822087760202466300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4099805103941578 " " Order of pole = 0.9050053430326486 " " x[1] = -0.997 " " y[1] (analytic) = 2.4364706308789708 " " y[1] (numeric) = 2.4364706308789708 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4092791234969106 " " Order of pole = 0.9050692600428487 " " x[1] = -0.996 " " y[1] (analytic) = 2.4356869858025525 " " y[1] (numeric) = 2.4356869858025525 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4085781357326659 " " Order of pole = 0.9051339531669065 " " x[1] = -0.995 " " y[1] (analytic) = 2.4349038427301757 " " y[1] (numeric) = 2.4349038427301757 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4078775457210477 " " Order of pole = 0.9051993881494464 " " x[1] = -0.994 " " y[1] (analytic) = 2.434121202164091 " " y[1] (numeric) = 2.4341212021640906 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.824433431890074300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4071773520532345 " " Order of pole = 0.9052655301880623 " " x[1] = -0.993 " " y[1] (analytic) = 2.4333390646070474 " " y[1] (numeric) = 2.433339064607047 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.82501985156670800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4064775532928786 " " Order of pole = 0.905332343949258 " " x[1] = -0.992 " " y[1] (analytic) = 2.4325574305622952 " " y[1] (numeric) = 2.432557430562295 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.825606270464947300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4057781479764824 " " Order of pole = 0.905399793574583 " " x[1] = -0.991 " " y[1] (analytic) = 2.431776300533584 " " y[1] (numeric) = 2.4317763005335835 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.826192687841475800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4050791346158633 " " Order of pole = 0.9054678427246099 " " x[1] = -0.99 " " y[1] (analytic) = 2.4309956750251636 " " y[1] (numeric) = 2.430995675025163 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.826779102951163500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.404380511697251 " " Order of pole = 0.9055364545618314 " " x[1] = -0.989 " " y[1] (analytic) = 2.4302155545417836 " " y[1] (numeric) = 2.430215554541783 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.827365515047061400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.403682277684272 " " Order of pole = 0.9056055918041483 " " x[1] = -0.988 " " y[1] (analytic) = 2.4294359395886937 " " y[1] (numeric) = 2.4294359395886933 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.82795192338040170000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.402984431016996 " " Order of pole = 0.9056752167069995 " " x[1] = -0.987 " " y[1] (analytic) = 2.4286568306716427 " " y[1] (numeric) = 2.4286568306716423 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.828538327200595600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4022869701146097 " " Order of pole = 0.9057452911111135 " " x[1] = -0.986 " " y[1] (analytic) = 2.42787822829688 " " y[1] (numeric) = 2.4278782282968794 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.82912472575523100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.401589893375798 " " Order of pole = 0.905815776448911 " " x[1] = -0.985 " " y[1] (analytic) = 2.4271001329711535 " " y[1] (numeric) = 2.427100132971153 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.829711118290069700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4008931991790825 " " Order of pole = 0.9058866337501374 " " x[1] = -0.984 " " y[1] (analytic) = 2.426322545201712 " " y[1] (numeric) = 2.426322545201712 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.4001968858863891 " " Order of pole = 0.9059578237059682 " " x[1] = -0.983 " " y[1] (analytic) = 2.4255454654963047 " " y[1] (numeric) = 2.4255454654963042 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.830883882274270400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3995009518412813 " " Order of pole = 0.9060293066365688 " " x[1] = -0.982 " " y[1] (analytic) = 2.424768894363178 " " y[1] (numeric) = 2.4247688943631776 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.831470252206013300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3988053953721322 " " Order of pole = 0.9061010425480696 " " x[1] = -0.981 " " y[1] (analytic) = 2.4239928323110798 " " y[1] (numeric) = 2.4239928323110793 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.832056613082719800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3981102147916815 " " Order of pole = 0.9061729911241834 " " x[1] = -0.98 " " y[1] (analytic) = 2.4232172798492564 " " y[1] (numeric) = 2.423217279849256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.832642964140997500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3974154084004784 " " Order of pole = 0.9062451117882535 " " x[1] = -0.979 " " y[1] (analytic) = 2.4224422374874544 " " y[1] (numeric) = 2.422442237487454 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.833229304615617300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3967209744858309 " " Order of pole = 0.906317363683808 " " x[1] = -0.978 " " y[1] (analytic) = 2.421667705735919 " " y[1] (numeric) = 2.4216677057359184 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.83381563373951280000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3960269113238026 " " Order of pole = 0.9063897057105148 " " x[1] = -0.977 " " y[1] (analytic) = 2.420893685105395 " " y[1] (numeric) = 2.4208936851053946 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.834401950743776400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3953332171816133 " " Order of pole = 0.9064620965674095 " " x[1] = -0.976 " " y[1] (analytic) = 2.4201201761071265 " " y[1] (numeric) = 2.4201201761071265 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3946398903167154 " " Order of pole = 0.9065344947358867 " " x[1] = -0.975 " " y[1] (analytic) = 2.419347179252858 " " y[1] (numeric) = 2.4193471792528576 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.83557454530856600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3939469289803739 " " Order of pole = 0.9066068585444711 " " x[1] = -0.974 " " y[1] (analytic) = 2.4185746950548306 " " y[1] (numeric) = 2.41857469505483 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.83616082132205900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3932543314171075 " " Order of pole = 0.9066791461585417 " " x[1] = -0.973 " " y[1] (analytic) = 2.4178027240257864 " " y[1] (numeric) = 2.4178027240257856 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.67349416424370200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3925620958672793 " " Order of pole = 0.9067513156270444 " " x[1] = -0.972 " " y[1] (analytic) = 2.4170312666789653 " " y[1] (numeric) = 2.4170312666789644 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.674666653859612000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3918702205669689 " " Order of pole = 0.9068233248802553 " " x[1] = -0.971 " " y[1] (analytic) = 2.416260323528107 " " y[1] (numeric) = 2.416260323528106 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.675839109931871600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3911787037509358 " " Order of pole = 0.9068951317834362 " " x[1] = -0.97 " " y[1] (analytic) = 2.415489895087449 " " y[1] (numeric) = 2.415489895087448 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.677011530896800400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3904875436534154 " " Order of pole = 0.9069666941511674 " " x[1] = -0.969 " " y[1] (analytic) = 2.4147199818717278 " " y[1] (numeric) = 2.4147199818717273 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.83909195759350400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3897967385087084 " " Order of pole = 0.907037969758246 " " x[1] = -0.968 " " y[1] (analytic) = 2.4139505843961793 " " y[1] (numeric) = 2.4139505843961793 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3891062865529842 " " Order of pole = 0.9071089163722803 " " x[1] = -0.967 " " y[1] (analytic) = 2.4131817031765377 " " y[1] (numeric) = 2.4131817031765372 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.840264283727560700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3884161860262958 " " Order of pole = 0.9071794917905205 " " x[1] = -0.966 " " y[1] (analytic) = 2.412413338729034 " " y[1] (numeric) = 2.4124133387290336 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.84085041613983300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3877264351735588 " " Order of pole = 0.9072496538576811 " " x[1] = -0.965 " " y[1] (analytic) = 2.411645491570399 " " y[1] (numeric) = 2.4116454915703986 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.841436527061378300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.387037032245206 " " Order of pole = 0.9073193604780254 " " x[1] = -0.964 " " y[1] (analytic) = 2.410878162217861 " " y[1] (numeric) = 2.4108781622178608 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.842022615699200600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3863479754995633 " " Order of pole = 0.9073885696587265 " " x[1] = -0.963 " " y[1] (analytic) = 2.4101113511891477 " " y[1] (numeric) = 2.4101113511891468 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.68521736251687500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.385659263203344 " " Order of pole = 0.907457239519097 " " x[1] = -0.962 " " y[1] (analytic) = 2.4093450590024816 " " y[1] (numeric) = 2.409345059002481 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.843194722942361200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3849708936343912 " " Order of pole = 0.9075253283406415 " " x[1] = -0.961 " " y[1] (analytic) = 2.408579286176587 " " y[1] (numeric) = 2.4085792861765865 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.843780739952373000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3842828650816639 " " Order of pole = 0.9075927945673019 " " x[1] = -0.96 " " y[1] (analytic) = 2.4078140332306823 " " y[1] (numeric) = 2.4078140332306823 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3835951758477525 " " Order of pole = 0.907659596851305 " " x[1] = -0.959 " " y[1] (analytic) = 2.4070493006844873 " " y[1] (numeric) = 2.407049300684487 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.84495269674691700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3829078242492185 " " Order of pole = 0.9077256940599217 " " x[1] = -0.958 " " y[1] (analytic) = 2.4062850890582146 " " y[1] (numeric) = 2.4062850890582146 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.382220808618906 " " Order of pole = 0.9077910453178415 " " x[1] = -0.957 " " y[1] (analytic) = 2.4055213988725788 " " y[1] (numeric) = 2.4055213988725783 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.846124545215846500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3815341273066368 " " Order of pole = 0.907855610020297 " " x[1] = -0.956 " " y[1] (analytic) = 2.4047582306487874 " " y[1] (numeric) = 2.4047582306487874 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3808477786818336 " " Order of pole = 0.9079193478813785 " " x[1] = -0.955 " " y[1] (analytic) = 2.4039955849085484 " " y[1] (numeric) = 2.403995584908548 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.847296278902926500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3801617611333707 " " Order of pole = 0.9079822189317213 " " x[1] = -0.954 " " y[1] (analytic) = 2.4032334621740636 " " y[1] (numeric) = 2.4032334621740636 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3794760730723028 " " Order of pole = 0.9080441835688973 " " x[1] = -0.953 " " y[1] (analytic) = 2.4024718629680355 " " y[1] (numeric) = 2.402471862968035 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.848467891321860500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3787907129317554 " " Order of pole = 0.9081052025558751 " " x[1] = -0.952 " " y[1] (analytic) = 2.401710787813659 " " y[1] (numeric) = 2.4017107878136583 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.698107300041141000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3781056791708244 " " Order of pole = 0.9081652370929412 " " x[1] = -0.951 " " y[1] (analytic) = 2.4009502372346274 " " y[1] (numeric) = 2.400950237234627 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.84963937595623300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3774209702730797 " " Order of pole = 0.9082242487908161 " " x[1] = -0.95 " " y[1] (analytic) = 2.40019021175513 " " y[1] (numeric) = 2.40019021175513 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3767365847494106 " " Order of pole = 0.9082821997234802 " " x[1] = -0.949 " " y[1] (analytic) = 2.3994307118998535 " " y[1] (numeric) = 2.3994307118998535 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3760525211403105 " " Order of pole = 0.9083390524704544 " " x[1] = -0.948 " " y[1] (analytic) = 2.398671738193978 " " y[1] (numeric) = 2.398671738193978 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3753687780153898 " " Order of pole = 0.9083947701086732 " " x[1] = -0.947 " " y[1] (analytic) = 2.397913291163181 " " y[1] (numeric) = 2.3979132911631815 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.85198193565474400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3746853539761181 " " Order of pole = 0.9084493162634715 " " x[1] = -0.946 " " y[1] (analytic) = 2.3971553713336355 " " y[1] (numeric) = 2.397155371333636 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.85256748544837800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.374002247656276 " " Order of pole = 0.9085026551174984 " " x[1] = -0.945 " " y[1] (analytic) = 2.3963979792320096 " " y[1] (numeric) = 2.39639797923201 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.853152997535004700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3733194577242456 " " Order of pole = 0.9085547514534902 " " x[1] = -0.944 " " y[1] (analytic) = 2.395641115385466 " " y[1] (numeric) = 2.395641115385467 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.707476942168003700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3726369828832907 " " Order of pole = 0.9086055706603648 " " x[1] = -0.943 " " y[1] (analytic) = 2.3948847803216644 " " y[1] (numeric) = 2.394884780321665 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.85432390526284800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3719548218734283 " " Order of pole = 0.9086550787681968 " " x[1] = -0.942 " " y[1] (analytic) = 2.3941289745687566 " " y[1] (numeric) = 2.394128974568757 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.854909299237123800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3712729734737041 " " Order of pole = 0.9087032424908514 " " x[1] = -0.941 " " y[1] (analytic) = 2.3933736986553913 " " y[1] (numeric) = 2.3933736986553917 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.855494652170507600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3705914365017207 " " Order of pole = 0.9087500292184103 " " x[1] = -0.94 " " y[1] (analytic) = 2.39261895311071 " " y[1] (numeric) = 2.392618953110711 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.7121599264495503000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3699102098157419 " " Order of pole = 0.9087954070565551 " " x[1] = -0.939 " " y[1] (analytic) = 2.39186473846435 " " y[1] (numeric) = 2.391864738464351 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.71333046311959400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3692292923158755 " " Order of pole = 0.9088393448493477 " " x[1] = -0.938 " " y[1] (analytic) = 2.3911110552464416 " " y[1] (numeric) = 2.3911110552464425 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.7145009126670797000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3685486829465396 " " Order of pole = 0.9088818122253919 " " x[1] = -0.9369999999999999 " " y[1] (analytic) = 2.3903579039876095 " " y[1] (numeric) = 2.3903579039876104 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.715671273404123000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3678683806949914 " " Order of pole = 0.9089227795720767 " " x[1] = -0.9359999999999999 " " y[1] (analytic) = 2.389605285218971 " " y[1] (numeric) = 2.389605285218972 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.716841543639024500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3671883845951645 " " Order of pole = 0.9089622181068382 " " x[1] = -0.9349999999999999 " " y[1] (analytic) = 2.3888531994721385 " " y[1] (numeric) = 2.3888531994721394 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.71801172167626200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.366508693727733 " " Order of pole = 0.9090000998796679 " " x[1] = -0.9339999999999999 " " y[1] (analytic) = 2.388101647279216 " " y[1] (numeric) = 2.3881016472792167 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.719181805816491600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.365829307223575 " " Order of pole = 0.9090363978371769 " " x[1] = -0.9329999999999999 " " y[1] (analytic) = 2.3873506291728006 " " y[1] (numeric) = 2.3873506291728015 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.72035179435654400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3651502242530458 " " Order of pole = 0.9090710856294208 " " x[1] = -0.9319999999999999 " " y[1] (analytic) = 2.386600145685983 " " y[1] (numeric) = 2.3866001456859838 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.72152168558941900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3644714440519599 " " Order of pole = 0.9091041380831335 " " x[1] = -0.9309999999999999 " " y[1] (analytic) = 2.3858501973523456 " " y[1] (numeric) = 2.3858501973523465 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.72269147780428700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3637929658964933 " " Order of pole = 0.9091355307471503 " " x[1] = -0.9299999999999999 " " y[1] (analytic) = 2.385100784705964 " " y[1] (numeric) = 2.3851007847059646 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.8619305846432400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.363114789119225 " " Order of pole = 0.9091652401855814 " " x[1] = -0.9289999999999999 " " y[1] (analytic) = 2.3843519082814044 " " y[1] (numeric) = 2.3843519082814053 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.72503075831749740000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3624369131052605 " " Order of pole = 0.909193243908641 " " x[1] = -0.9279999999999999 " " y[1] (analytic) = 2.3836035686137262 " " y[1] (numeric) = 2.3836035686137267 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.863100121587497600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3617593372951045 " " Order of pole = 0.9092195204264062 " " x[1] = -0.9269999999999999 " " y[1] (analytic) = 2.382855766238479 " " y[1] (numeric) = 2.3828557662384795 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.863684811066393400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3610820611840464 " " Order of pole = 0.9092440492392164 " " x[1] = -0.9259999999999999 " " y[1] (analytic) = 2.3821085016917043 " " y[1] (numeric) = 2.3821085016917047 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.864269446730421300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3604050843243392 " " Order of pole = 0.9092668108787496 " " x[1] = -0.9249999999999999 " " y[1] (analytic) = 2.381361775509935 " " y[1] (numeric) = 2.381361775509935 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3597284063259776 " " Order of pole = 0.9092877869238158 " " x[1] = -0.9239999999999999 " " y[1] (analytic) = 2.380615588230193 " " y[1] (numeric) = 2.380615588230193 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3590520268569597 " " Order of pole = 0.9093069600065977 " " x[1] = -0.9229999999999999 " " y[1] (analytic) = 2.379869940389993 " " y[1] (numeric) = 2.379869940389993 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.358375945644543 " " Order of pole = 0.9093243138370326 " " x[1] = -0.9219999999999999 " " y[1] (analytic) = 2.3791248325273386 " " y[1] (numeric) = 2.3791248325273386 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3577001624761156 " " Order of pole = 0.9093398332203417 " " x[1] = -0.9209999999999999 " " y[1] (analytic) = 2.378380265180723 " " y[1] (numeric) = 2.378380265180723 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3570246772006032 " " Order of pole = 0.9093535040842244 " " x[1] = -0.9199999999999999 " " y[1] (analytic) = 2.3776362388891292 " " y[1] (numeric) = 2.3776362388891297 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.867776081918857400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3563494897278405 " " Order of pole = 0.9093653134688502 " " x[1] = -0.9189999999999999 " " y[1] (analytic) = 2.376892754192031 " " y[1] (numeric) = 2.3768927541920313 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.868360316496569800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3556746000306399 " " Order of pole = 0.9093752495662599 " " x[1] = -0.9179999999999999 " " y[1] (analytic) = 2.3761498116293884 " " y[1] (numeric) = 2.3761498116293893 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.73788898053981700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.355000008145187 " " Order of pole = 0.909383301729239 " " x[1] = -0.9169999999999999 " " y[1] (analytic) = 2.3754074117416533 " " y[1] (numeric) = 2.375407411741654 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.73905720471298500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.354325714170457 " " Order of pole = 0.9093894604619681 " " x[1] = -0.9159999999999999 " " y[1] (analytic) = 2.3746655550697637 " " y[1] (numeric) = 2.3746655550697646 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.74022530374401300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3536517182713501 " " Order of pole = 0.9093937174791691 " " x[1] = -0.9149999999999999 " " y[1] (analytic) = 2.3739242421551463 " " y[1] (numeric) = 2.3739242421551476 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.61208991379059600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3529780206771262 " " Order of pole = 0.9093960656788678 " " x[1] = -0.9139999999999999 " " y[1] (analytic) = 2.3731834735397173 " " y[1] (numeric) = 2.373183473539718 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.742561119285751600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3523046216825954 " " Order of pole = 0.9093964991657106 " " x[1] = -0.9129999999999999 " " y[1] (analytic) = 2.3724432497658774 " " y[1] (numeric) = 2.3724432497658783 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.743728832239820400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3516315216488954 " " Order of pole = 0.9093950132669466 " " x[1] = -0.9119999999999999 " " y[1] (analytic) = 2.371703571376517 " " y[1] (numeric) = 2.3717035713765178 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.744896412938460000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.350958721003907 " " Order of pole = 0.909391604541355 " " x[1] = -0.9109999999999999 " " y[1] (analytic) = 2.370964438915012 " " y[1] (numeric) = 2.370964438915013 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.746063859593646000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3502862202427015 " " Order of pole = 0.9093862707890583 " " x[1] = -0.9099999999999999 " " y[1] (analytic) = 2.370225852925226 " " y[1] (numeric) = 2.3702258529252274 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.620846755620200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3496140199275777 " " Order of pole = 0.9093790110538116 " " x[1] = -0.9089999999999999 " " y[1] (analytic) = 2.3694878139515083 " " y[1] (numeric) = 2.3694878139515096 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.622597515403187000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.348942120688625 " " Order of pole = 0.9093698256347462 " " x[1] = -0.9079999999999999 " " y[1] (analytic) = 2.368750322538694 " " y[1] (numeric) = 2.368750322538695 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.62434806603989400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3482705232245646 " " Order of pole = 0.909358716103343 " " x[1] = -0.9069999999999999 " " y[1] (analytic) = 2.368013379232103 " " y[1] (numeric) = 2.3680133792321048 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.50146453976660200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3475992283022422 " " Order of pole = 0.9093456852956248 " " x[1] = -0.9059999999999999 " " y[1] (analytic) = 2.367276984577542 " " y[1] (numeric) = 2.367276984577544 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.50379803872952400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3469282367570994 " " Order of pole = 0.9093307373223212 " " x[1] = -0.9049999999999999 " " y[1] (analytic) = 2.3665411391213023 " " y[1] (numeric) = 2.366541139121304 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.50613124798587900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.346257549493518 " " Order of pole = 0.9093138775766381 " " x[1] = -0.9039999999999999 " " y[1] (analytic) = 2.365805843410158 " " y[1] (numeric) = 2.3658058434101603 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.38558020488140200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3455871674850914 " " Order of pole = 0.9092951127407076 " " x[1] = -0.9029999999999999 " " y[1] (analytic) = 2.36507109799137 " " y[1] (numeric) = 2.365071097991372 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.51079678284890200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3449170917738198 " " Order of pole = 0.9092744507722372 " " x[1] = -0.9019999999999999 " " y[1] (analytic) = 2.3643369034126804 " " y[1] (numeric) = 2.364336903412682 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.5131291011710700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3442473234717303 " " Order of pole = 0.9092519009357378 " " x[1] = -0.9009999999999999 " " y[1] (analytic) = 2.3636032602223165 " " y[1] (numeric) = 2.3636032602223183 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.51546111521765900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3435778637592184 " " Order of pole = 0.9092274737733934 " " x[1] = -0.8999999999999999 " " y[1] (analytic) = 2.3628701689689886 " " y[1] (numeric) = 2.36287016896899 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.638344615995163000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3429087138859752 " " Order of pole = 0.9092011811234944 " " x[1] = -0.8989999999999999 " " y[1] (analytic) = 2.3621376302018886 " " y[1] (numeric) = 2.36213763020189 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.64009316187186300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3422398751710143 " " Order of pole = 0.9091730361223718 " " x[1] = -0.8979999999999999 " " y[1] (analytic) = 2.3614056444706915 " " y[1] (numeric) = 2.361405644470693 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.641841471285275000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3415713490016112 " " Order of pole = 0.9091430531861739 " " x[1] = -0.8969999999999999 " " y[1] (analytic) = 2.3606742123255535 " " y[1] (numeric) = 2.3606742123255553 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.52478605529528500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3409031368341384 " " Order of pole = 0.909111248027429 " " x[1] = -0.8959999999999999 " " y[1] (analytic) = 2.359943334317114 " " y[1] (numeric) = 2.3599433343171157 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.52711649288082100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.340235240193136 " " Order of pole = 0.9090776376394469 " " x[1] = -0.8949999999999999 " " y[1] (analytic) = 2.3592130109964913 " " y[1] (numeric) = 2.3592130109964935 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.41180825512841100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3395676606711855 " " Order of pole = 0.9090422402950828 " " x[1] = -0.8939999999999999 " " y[1] (analytic) = 2.358483242915287 " " y[1] (numeric) = 2.358483242915289 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.53177638525224900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3389003999290838 " " Order of pole = 0.9090050755511729 " " x[1] = -0.8929999999999999 " " y[1] (analytic) = 2.35775403062558 " " y[1] (numeric) = 2.3577540306255824 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.41763229076599200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3382334596945409 " " Order of pole = 0.9089661642258395 " " x[1] = -0.8919999999999999 " " y[1] (analytic) = 2.357025374679932 " " y[1] (numeric) = 2.3570253746799343 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.42054367807488900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3375668417625888 " " Order of pole = 0.908925528407071 " " x[1] = -0.8909999999999999 " " y[1] (analytic) = 2.3562972756313827 " " y[1] (numeric) = 2.356297275631385 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.42345463882664200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3369005479944185 " " Order of pole = 0.908883191432519 " " x[1] = -0.8899999999999999 " " y[1] (analytic) = 2.3555697340334514 " " y[1] (numeric) = 2.355569734033453 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.54109213467685200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.336234580317474 " " Order of pole = 0.9088391778921743 " " x[1] = -0.8889999999999999 " " y[1] (analytic) = 2.3548427504401355 " " y[1] (numeric) = 2.3548427504401372 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.54342020955852700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3355689407245872 " " Order of pole = 0.9087935136135972 " " x[1] = -0.8879999999999999 " " y[1] (analytic) = 2.354116325405911 " " y[1] (numeric) = 2.3541163254059128 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.54574793195047500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.334903631273079 " " Order of pole = 0.9087462256463166 " " x[1] = -0.8869999999999999 " " y[1] (analytic) = 2.3533904594857313 " " y[1] (numeric) = 2.3533904594857336 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.43509412261121500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3342386540845037 " " Order of pole = 0.9086973422580318 " " x[1] = -0.8859999999999999 " " y[1] (analytic) = 2.3526651532350287 " " y[1] (numeric) = 2.352665153235031 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.43800288025302800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3335740113438685 " " Order of pole = 0.908646892921162 " " x[1] = -0.8849999999999999 " " y[1] (analytic) = 2.3519404072097108 " " y[1] (numeric) = 2.351940407209713 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44091118313920300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3329097052986267 " " Order of pole = 0.908594908295191 " " x[1] = -0.8839999999999999 " " y[1] (analytic) = 2.3512162219661623 " " y[1] (numeric) = 2.3512162219661645 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44381902653557300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3322457382579866 " " Order of pole = 0.9085414202146982 " " x[1] = -0.8829999999999999 " " y[1] (analytic) = 2.3504925980612437 " " y[1] (numeric) = 2.3504925980612463 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13360716868377450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3315821125921894 " " Order of pole = 0.9084864616767874 " " x[1] = -0.8819999999999999 " " y[1] (analytic) = 2.349769536052292 " " y[1] (numeric) = 2.3497695360522943 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44963331587297800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3309188307311248 " " Order of pole = 0.9084300668163703 " " x[1] = -0.8809999999999999 " " y[1] (analytic) = 2.3490470364971174 " " y[1] (numeric) = 2.34904703649712 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13430477027557180000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3302558951640486 " " Order of pole = 0.9083722709015252 " " x[1] = -0.8799999999999999 " " y[1] (analytic) = 2.3483250999540073 " " y[1] (numeric) = 2.3483250999540095 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.45544571019490100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3295933084379696 " " Order of pole = 0.9083131103043893 " " x[1] = -0.8789999999999999 " " y[1] (analytic) = 2.3476037269817205 " " y[1] (numeric) = 2.3476037269817227 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.45835118478495400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3289310731569806 " " Order of pole = 0.9082526224893446 " " x[1] = -0.8779999999999999 " " y[1] (analytic) = 2.3468829181394915 " " y[1] (numeric) = 2.346882918139494 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13535074055279480000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3282691919807386 " " Order of pole = 0.908190845985569 " " x[1] = -0.8769999999999999 " " y[1] (analytic) = 2.346162673987028 " " y[1] (numeric) = 2.3461626739870303 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.46416066485673800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3276076676238162 " " Order of pole = 0.9081278203753378 " " x[1] = -0.8759999999999999 " " y[1] (analytic) = 2.345442995084509 " " y[1] (numeric) = 2.3454429950845115 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13604775928667130000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.326946502854124 " " Order of pole = 0.9080635862656106 " " x[1] = -0.8749999999999999 " " y[1] (analytic) = 2.344723881992587 " " y[1] (numeric) = 2.3447238819925893 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.46996815404694700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.326285700491668 " " Order of pole = 0.9079981852649155 " " x[1] = -0.8739999999999999 " " y[1] (analytic) = 2.3440053352723855 " " y[1] (numeric) = 2.3440053352723877 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.47287113999800600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3256252634075598 " " Order of pole = 0.9079316599657528 " " x[1] = -0.8729999999999999 " " y[1] (analytic) = 2.3432873554855 " " y[1] (numeric) = 2.343287355485502 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.47577361373276500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3249651945223135 " " Order of pole = 0.9078640539133005 " " x[1] = -0.8719999999999999 " " y[1] (analytic) = 2.342569943193996 " " y[1] (numeric) = 2.3425699431939977 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.58294045631893700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3243054968048025 " " Order of pole = 0.9077954115859868 " " x[1] = -0.8709999999999999 " " y[1] (analytic) = 2.341853098960409 " " y[1] (numeric) = 2.341853098960411 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.58526160410662600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3236461732705582 " " Order of pole = 0.9077257783645347 " " x[1] = -0.8699999999999999 " " y[1] (analytic) = 2.341136823347745 " " y[1] (numeric) = 2.3411368233477474 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48447791306426600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3229872269804122 " " Order of pole = 0.907655200506591 " " x[1] = -0.8689999999999999 " " y[1] (analytic) = 2.3404211169194795 " " y[1] (numeric) = 2.3404211169194817 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48737828930940300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3223286610389466 " " Order of pole = 0.9075837251182453 " " x[1] = -0.8679999999999999 " " y[1] (analytic) = 2.3397059802395552 " " y[1] (numeric) = 2.339705980239557 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.59222250318125400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3216704785930569 " " Order of pole = 0.9075114001271682 " " x[1] = -0.8669999999999999 " " y[1] (analytic) = 2.338991413872383 " " y[1] (numeric) = 2.3389914138723853 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4931774271637500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3210126828303352 " " Order of pole = 0.9074382742524936 " " x[1] = -0.8659999999999999 " " y[1] (analytic) = 2.3382774183828436 " " y[1] (numeric) = 2.3382774183828454 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.59686094316722200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.320355276977174 " " Order of pole = 0.9073643969698573 " " x[1] = -0.8649999999999999 " " y[1] (analytic) = 2.3375639943362816 " " y[1] (numeric) = 2.337563994336284 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.49897437944058200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.319698264297498 " " Order of pole = 0.9072898184872162 " " x[1] = -0.8639999999999999 " " y[1] (analytic) = 2.33685114229851 " " y[1] (numeric) = 2.3368511422985128 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1402246428412030000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.319041648090804 " " Order of pole = 0.9072145897084027 " " x[1] = -0.8629999999999999 " " y[1] (analytic) = 2.336138862835808 " " y[1] (numeric) = 2.3361388628358104 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50476910672571500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.318385431690501 " " Order of pole = 0.9071387622018889 " " x[1] = -0.8619999999999999 " " y[1] (analytic) = 2.335427156514919 " " y[1] (numeric) = 2.335427156514921 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50766562363611300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3177296184620686 " " Order of pole = 0.9070623881662225 " " x[1] = -0.8609999999999999 " " y[1] (analytic) = 2.334716023903051 " " y[1] (numeric) = 2.334716023903053 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5105615694464310000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3170742118013437 " " Order of pole = 0.9069855203976509 " " x[1] = -0.8599999999999999 " " y[1] (analytic) = 2.334005465567877 " " y[1] (numeric) = 2.3340054655678792 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51345693918529700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3164192151325278 " " Order of pole = 0.9069082122527128 " " x[1] = -0.8589999999999999 " " y[1] (analytic) = 2.333295482077533 " " y[1] (numeric) = 2.333295482077536 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.14196220734457150000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3157646319064584 " " Order of pole = 0.9068305176151874 " " x[1] = -0.8579999999999999 " " y[1] (analytic) = 2.33258607400062 " " y[1] (numeric) = 2.332586074000622 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51924593051361500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3151104655986212 " " Order of pole = 0.9067524908588265 " " x[1] = -0.8569999999999999 " " y[1] (analytic) = 2.331877241906198 " " y[1] (numeric) = 2.3318772419062004 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52213954211073600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3144567197071377 " " Order of pole = 0.9066741868089618 " " x[1] = -0.8559999999999999 " " y[1] (analytic) = 2.331168986363792 " " y[1] (numeric) = 2.331168986363794 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52503255765174400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3138033977509278 " " Order of pole = 0.9065956607075609 " " x[1] = -0.8549999999999999 " " y[1] (analytic) = 2.330461307943386 " " y[1] (numeric) = 2.3304613079433882 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52792497211566900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3131505032676467 " " Order of pole = 0.9065169681740279 " " x[1] = -0.8539999999999999 " " y[1] (analytic) = 2.329754207215426 " " y[1] (numeric) = 2.3297542072154283 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53081678047161700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3124980398116366 " " Order of pole = 0.9064381651659374 " " x[1] = -0.8529999999999999 " " y[1] (analytic) = 2.329047684750818 " " y[1] (numeric) = 2.32904768475082 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53370797767876500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3118460109518775 " " Order of pole = 0.9063593079402796 " " x[1] = -0.8519999999999999 " " y[1] (analytic) = 2.3283417411209264 " " y[1] (numeric) = 2.3283417411209286 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53659855868636700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3111944202699757 " " Order of pole = 0.9062804530144533 " " x[1] = -0.8509999999999999 " " y[1] (analytic) = 2.3276363768975745 " " y[1] (numeric) = 2.3276363768975776 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.33552839258072430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.310543271358012 " " Order of pole = 0.906201657125397 " " x[1] = -0.8499999999999999 " " y[1] (analytic) = 2.3269315926530467 " " y[1] (numeric) = 2.326931592653049 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5423778518502800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3098925678163567 " " Order of pole = 0.9061229771874206 " " x[1] = -0.8489999999999999 " " y[1] (analytic) = 2.32622738896008 " " y[1] (numeric) = 2.3262273889600826 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.14543198646265320000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3092423132516324 " " Order of pole = 0.9060444702532742 " " x[1] = -0.8479999999999999 " " y[1] (analytic) = 2.325523766391872 " " y[1] (numeric) = 2.3255237663918744 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.54815461935875700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3085925112745722 " " Order of pole = 0.9059661934726009 " " x[1] = -0.8469999999999999 " " y[1] (analytic) = 2.3248207255220747 " " y[1] (numeric) = 2.3248207255220774 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.14612504519117810000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3079431654976956 " " Order of pole = 0.9058882040471978 " " x[1] = -0.8459999999999999 " " y[1] (analytic) = 2.3241182669247973 " " y[1] (numeric) = 2.3241182669247995 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55392882044828100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3072942795332836 " " Order of pole = 0.9058105591919752 " " x[1] = -0.8449999999999999 " " y[1] (analytic) = 2.323416391174602 " " y[1] (numeric) = 2.323416391174604 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55681494580387200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3066458569910577 " " Order of pole = 0.9057333160900605 " " x[1] = -0.8439999999999999 " " y[1] (analytic) = 2.3227150988465066 " " y[1] (numeric) = 2.322715098846509 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55970041419637900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.305997901476016 " " Order of pole = 0.9056565318506227 " " x[1] = -0.8429999999999999 " " y[1] (analytic) = 2.322014390515982 " " y[1] (numeric) = 2.3220143905159842 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.56258522048565300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3053504165861596 " " Order of pole = 0.9055802634650671 " " x[1] = -0.8419999999999999 " " y[1] (analytic) = 2.321314266758953 " " y[1] (numeric) = 2.3213142667589546 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.65237548761728700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3047034059103642 " " Order of pole = 0.905504567765453 " " x[1] = -0.8409999999999999 " " y[1] (analytic) = 2.3206147281517944 " " y[1] (numeric) = 2.320614728151796 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.65468226091537900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.304056873026001 " " Order of pole = 0.9054295013781442 " " x[1] = -0.8399999999999999 " " y[1] (analytic) = 2.3199157752713346 " " y[1] (numeric) = 2.3199157752713364 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.65698849214683100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3034108214966895 " " Order of pole = 0.9053551206801611 " " x[1] = -0.8389999999999999 " " y[1] (analytic) = 2.3192174086948527 " " y[1] (numeric) = 2.3192174086948545 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.65929417716772400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3027652548702315 " " Order of pole = 0.9052814817586725 " " x[1] = -0.8379999999999999 " " y[1] (analytic) = 2.3185196290000767 " " y[1] (numeric) = 2.3185196290000785 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66159931182619200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.30212017667609 " " Order of pole = 0.90520864036184 " " x[1] = -0.8369999999999999 " " y[1] (analytic) = 2.3178224367651854 " " y[1] (numeric) = 2.317822436765187 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66390389196241100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3014755904232704 " " Order of pole = 0.9051366518569353 " " x[1] = -0.8359999999999999 " " y[1] (analytic) = 2.3171258325688058 " " y[1] (numeric) = 2.3171258325688076 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66620791340861600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3008314995981458 " " Order of pole = 0.9050655711883753 " " x[1] = -0.8349999999999999 " " y[1] (analytic) = 2.3164298169900124 " " y[1] (numeric) = 2.316429816990014 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.66851137198908500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.3001879076620158 " " Order of pole = 0.9049954528290609 " " x[1] = -0.8339999999999999 " " y[1] (analytic) = 2.315734390608328 " " y[1] (numeric) = 2.3157343906083296 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.6708142635201500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.299544818048874 " " Order of pole = 0.9049263507366199 " " x[1] = -0.8329999999999999 " " y[1] (analytic) = 2.315039554003722 " " y[1] (numeric) = 2.315039554003723 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.83655829190509500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.298902234163431 " " Order of pole = 0.9048583183148402 " " x[1] = -0.8319999999999999 " " y[1] (analytic) = 2.314345307756608 " " y[1] (numeric) = 2.314345307756609 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.8377091643298200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.298260159378505 " " Order of pole = 0.904791408361616 " " x[1] = -0.8309999999999998 " " y[1] (analytic) = 2.313651652447847 " " y[1] (numeric) = 2.3136516524478474 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.91942987346524500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2976185970330125 " " Order of pole = 0.9047256730294091 " " x[1] = -0.8299999999999998 " " y[1] (analytic) = 2.312958588658742 " " y[1] (numeric) = 2.3129585886587427 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.84001003759937500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.296977550429801 " " Order of pole = 0.9046611637825599 " " x[1] = -0.8289999999999998 " " y[1] (analytic) = 2.312266116971042 " " y[1] (numeric) = 2.312266116971043 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.84116003422476500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2963370228332798 " " Order of pole = 0.904597931349894 " " x[1] = -0.8279999999999998 " " y[1] (analytic) = 2.3115742379669375 " " y[1] (numeric) = 2.3115742379669384 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.84230973469098200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2956970174672633 " " Order of pole = 0.9045360256820292 " " x[1] = -0.8269999999999998 " " y[1] (analytic) = 2.3108829522290613 " " y[1] (numeric) = 2.310882952229062 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.84345913687837200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2950575375129676 " " Order of pole = 0.9044754959116066 " " x[1] = -0.8259999999999998 " " y[1] (analytic) = 2.310192260340487 " " y[1] (numeric) = 2.310192260340488 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.844608238663310700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2944185861066302 " " Order of pole = 0.9044163903056326 " " x[1] = -0.8249999999999998 " " y[1] (analytic) = 2.3095021628847303 " " y[1] (numeric) = 2.309502162884731 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.84575703791819800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2937801663376096 " " Order of pole = 0.9043587562276763 " " x[1] = -0.8239999999999998 " " y[1] (analytic) = 2.308812660445745 " " y[1] (numeric) = 2.3088126604457457 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.84690553251146600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2931422812460396 " " Order of pole = 0.904302640090819 " " x[1] = -0.8229999999999998 " " y[1] (analytic) = 2.308123753607924 " " y[1] (numeric) = 2.308123753607925 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.848053720307572600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2925049338211227 " " Order of pole = 0.9042480873236283 " " x[1] = -0.8219999999999998 " " y[1] (analytic) = 2.3074354429561 " " y[1] (numeric) = 2.3074354429561006 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.924600799583503500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2918681269985144 " " Order of pole = 0.9041951423171941 " " x[1] = -0.8209999999999998 " " y[1] (analytic) = 2.306747729075541 " " y[1] (numeric) = 2.3067477290755414 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.925174583473144300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2912318636587532 " " Order of pole = 0.904143848394078 " " x[1] = -0.8199999999999998 " " y[1] (analytic) = 2.3060606125519527 " " y[1] (numeric) = 2.306060612551953 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.925748210748983000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2905961466252631 " " Order of pole = 0.904094247767615 " " x[1] = -0.8189999999999998 " " y[1] (analytic) = 2.3053740939714764 " " y[1] (numeric) = 2.305374093971477 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.926321680335309500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.289960978661962 " " Order of pole = 0.9040463814938491 " " x[1] = -0.8179999999999998 " " y[1] (analytic) = 2.304688173920688 " " y[1] (numeric) = 2.304688173920689 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.85378998230886170000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2893263624719262 " " Order of pole = 0.9040002894443155 " " x[1] = -0.8169999999999998 " " y[1] (analytic) = 2.304002852986599 " " y[1] (numeric) = 2.3040028529865997 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.854936284253339700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2886923006949493 " " Order of pole = 0.903956010256687 " " x[1] = -0.8159999999999998 " " y[1] (analytic) = 2.303318131756652 " " y[1] (numeric) = 2.3033181317566522 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.928041132170365500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.288058795906194 " " Order of pole = 0.9039135813071084 " " x[1] = -0.8149999999999998 " " y[1] (analytic) = 2.302634010818722 " " y[1] (numeric) = 2.3026340108187227 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.928613960201876500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2874258506137308 " " Order of pole = 0.9038730386603202 " " x[1] = -0.8139999999999998 " " y[1] (analytic) = 2.301950490761118 " " y[1] (numeric) = 2.3019504907611186 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.929186625135576600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2867934672575003 " " Order of pole = 0.9038344170482304 " " x[1] = -0.8129999999999998 " " y[1] (analytic) = 2.3012675721725784 " " y[1] (numeric) = 2.3012675721725784 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.286161648207176 " " Order of pole = 0.9037977498262233 " " x[1] = -0.8119999999999998 " " y[1] (analytic) = 2.30058525564227 " " y[1] (numeric) = 2.3005852556422703 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.930331461357137300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2855303957603363 " " Order of pole = 0.9037630689356178 " " x[1] = -0.8109999999999998 " " y[1] (analytic) = 2.299903541759791 " " y[1] (numeric) = 2.2999035417597913 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.93090363046384080000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2848997121411236 " " Order of pole = 0.9037304048760539 " " x[1] = -0.8099999999999998 " " y[1] (analytic) = 2.299222431115166 " " y[1] (numeric) = 2.2992224311151666 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.931475632110421800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2842695994986721 " " Order of pole = 0.9036997866728651 " " x[1] = -0.8089999999999998 " " y[1] (analytic) = 2.2985419242988483 " " y[1] (numeric) = 2.2985419242988483 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2836400599052804 " " Order of pole = 0.9036712418395396 " " x[1] = -0.8079999999999998 " " y[1] (analytic) = 2.297862021901716 " " y[1] (numeric) = 2.297862021901716 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2830110953550644 " " Order of pole = 0.9036447963493703 " " x[1] = -0.8069999999999998 " " y[1] (analytic) = 2.297182724515073 " " y[1] (numeric) = 2.297182724515073 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2823827077627334 " " Order of pole = 0.9036204746100438 " " x[1] = -0.8059999999999998 " " y[1] (analytic) = 2.2965040327306494 " " y[1] (numeric) = 2.2965040327306494 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2817548989617498 " " Order of pole = 0.9035982994252691 " " x[1] = -0.8049999999999998 " " y[1] (analytic) = 2.2958259471405973 " " y[1] (numeric) = 2.2958259471405973 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2811276707034236 " " Order of pole = 0.9035782919754141 " " x[1] = -0.8039999999999998 " " y[1] (analytic) = 2.2951484683374916 " " y[1] (numeric) = 2.2951484683374916 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.280501024655587 " " Order of pole = 0.9035604717896781 " " x[1] = -0.8029999999999998 " " y[1] (analytic) = 2.29447159691433 " " y[1] (numeric) = 2.29447159691433 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2798749624011883 " " Order of pole = 0.9035448567162518 " " x[1] = -0.8019999999999998 " " y[1] (analytic) = 2.2937953334645305 " " y[1] (numeric) = 2.2937953334645305 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2792494854370222 " " Order of pole = 0.9035314628955344 " " x[1] = -0.8009999999999998 " " y[1] (analytic) = 2.2931196785819306 " " y[1] (numeric) = 2.293119678581931 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.936615929809159500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2786245951733664 " " Order of pole = 0.9035203047513605 " " x[1] = -0.7999999999999998 " " y[1] (analytic) = 2.2924446328607884 " " y[1] (numeric) = 2.292444632860789 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.93718619627412600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2780002929320575 " " Order of pole = 0.9035113949506659 " " x[1] = -0.7989999999999998 " " y[1] (analytic) = 2.291770196895779 " " y[1] (numeric) = 2.291770196895779 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2773765799462018 " " Order of pole = 0.903504744396205 " " x[1] = -0.7979999999999998 " " y[1] (analytic) = 2.291096371281993 " " y[1] (numeric) = 2.2910963712819936 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.938326189227782300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2767534573588417 " " Order of pole = 0.9035003621980326 " " x[1] = -0.7969999999999998 " " y[1] (analytic) = 2.2904231566149407 " " y[1] (numeric) = 2.2904231566149416 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.877791826959961500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2761309262226814 " " Order of pole = 0.9034982556663884 " " x[1] = -0.7959999999999998 " " y[1] (analytic) = 2.289750553490545 " " y[1] (numeric) = 2.289750553490546 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.87893090950962700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2755089874986212 " " Order of pole = 0.9034984302803437 " " x[1] = -0.7949999999999998 " " y[1] (analytic) = 2.2890785625051446 " " y[1] (numeric) = 2.2890785625051455 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.880069623858220500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2748876420556194 " " Order of pole = 0.9035008896833681 " " x[1] = -0.7939999999999998 " " y[1] (analytic) = 2.2884071842554907 " " y[1] (numeric) = 2.288407184255491 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.94060398387773100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2742668906701349 " " Order of pole = 0.903505635670296 " " x[1] = -0.7929999999999998 " " y[1] (analytic) = 2.287736419338746 " " y[1] (numeric) = 2.2877364193387466 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.941172969473570000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2736467340251765 " " Order of pole = 0.9035126681663019 " " x[1] = -0.7919999999999998 " " y[1] (analytic) = 2.2870662683524854 " " y[1] (numeric) = 2.2870662683524863 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.88348353517510800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.273027172710087 " " Order of pole = 0.903521985220598 " " x[1] = -0.7909999999999998 " " y[1] (analytic) = 2.286396731894695 " " y[1] (numeric) = 2.286396731894696 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.884620754177286500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2724082072202596 " " Order of pole = 0.9035335829989428 " " x[1] = -0.7899999999999998 " " y[1] (analytic) = 2.285727810563768 " " y[1] (numeric) = 2.285727810563769 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.885757593687669000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2717898379566794 " " Order of pole = 0.9035474557723546 " " x[1] = -0.7889999999999998 " " y[1] (analytic) = 2.2850595049585083 " " y[1] (numeric) = 2.2850595049585087 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.94344702571816100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2711720652257061 " " Order of pole = 0.903563595910736 " " x[1] = -0.7879999999999998 " " y[1] (analytic) = 2.284391815678125 " " y[1] (numeric) = 2.2843918156781253 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.94401506257469300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.270554889239069 " " Order of pole = 0.9035819938807972 " " x[1] = -0.7869999999999998 " " y[1] (analytic) = 2.2837247433222334 " " y[1] (numeric) = 2.2837247433222343 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.8891658125490797000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2699383101136816 " " Order of pole = 0.9036026382402405 " " x[1] = -0.7859999999999998 " " y[1] (analytic) = 2.2830582884908566 " " y[1] (numeric) = 2.283058288490857 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.945150555676849200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2693223278717556 " " Order of pole = 0.9036255156380477 " " x[1] = -0.7849999999999998 " " y[1] (analytic) = 2.2823924517844185 " " y[1] (numeric) = 2.2823924517844194 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.891436019277624000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2687069424405655 " " Order of pole = 0.9036506108075155 " " x[1] = -0.7839999999999998 " " y[1] (analytic) = 2.281727233803749 " " y[1] (numeric) = 2.2817272338037493 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.946285267015657200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.268092153653006 " " Order of pole = 0.9036779065755507 " " x[1] = -0.7829999999999998 " " y[1] (analytic) = 2.2810626351500773 " " y[1] (numeric) = 2.281062635150078 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.946852326660660800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2674779612480713 " " Order of pole = 0.9037073838701186 " " x[1] = -0.7819999999999998 " " y[1] (analytic) = 2.2803986564250356 " " y[1] (numeric) = 2.280398656425036 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.94741918742514100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2668643648701756 " " Order of pole = 0.9037390217043431 " " x[1] = -0.7809999999999998 " " y[1] (analytic) = 2.2797352982306553 " " y[1] (numeric) = 2.279735298230656 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.947985848158461400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2662513640709039 " " Order of pole = 0.9037727972098342 " " x[1] = -0.7799999999999998 " " y[1] (analytic) = 2.2790725611693667 " " y[1] (numeric) = 2.279072561169367 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.948552307708032700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2656389583086085 " " Order of pole = 0.9038086856262542 " " x[1] = -0.7789999999999998 " " y[1] (analytic) = 2.278410445843998 " " y[1] (numeric) = 2.278410445843998 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2650271469492615 " " Order of pole = 0.9038466603164537 " " x[1] = -0.7779999999999998 " " y[1] (analytic) = 2.2777489528577735 " " y[1] (numeric) = 2.2777489528577735 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2644159292668218 " " Order of pole = 0.9038866927715947 " " x[1] = -0.7769999999999998 " " y[1] (analytic) = 2.277088082814313 " " y[1] (numeric) = 2.277088082814313 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2638053044450297 " " Order of pole = 0.9039287526453634 " " x[1] = -0.7759999999999998 " " y[1] (analytic) = 2.2764278363176325 " " y[1] (numeric) = 2.276427836317632 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.950816110948743500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2631952715769355 " " Order of pole = 0.9039728077422353 " " x[1] = -0.7749999999999998 " " y[1] (analytic) = 2.2757682139721385 " " y[1] (numeric) = 2.275768213972138 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.951381547222451000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2625858296666919 " " Order of pole = 0.904018824051489 " " x[1] = -0.7739999999999998 " " y[1] (analytic) = 2.275109216382632 " " y[1] (numeric) = 2.2751092163826314 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95194677535592600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.261976977630035 " " Order of pole = 0.904066765754763 " " x[1] = -0.7729999999999998 " " y[1] (analytic) = 2.274450844154304 " " y[1] (numeric) = 2.274450844154303 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.90502358836588300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.261368714296082 " " Order of pole = 0.9041165952604757 " " x[1] = -0.7719999999999998 " " y[1] (analytic) = 2.2737930978927356 " " y[1] (numeric) = 2.2737930978927348 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.90615320507065930000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2607610384076935 " " Order of pole = 0.9041682732086365 " " x[1] = -0.7709999999999998 " " y[1] (analytic) = 2.273135978203897 " " y[1] (numeric) = 2.2731359782038965 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.953641199242980300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.260153948623315 " " Order of pole = 0.904221758506317 " " x[1] = -0.7699999999999998 " " y[1] (analytic) = 2.272479485694146 " " y[1] (numeric) = 2.2724794856941455 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95420558313384400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2595474435179943 " " Order of pole = 0.9042770083459821 " " x[1] = -0.7689999999999998 " " y[1] (analytic) = 2.2718236209702263 " " y[1] (numeric) = 2.2718236209702263 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.258941521584998 " " Order of pole = 0.9043339782361617 " " x[1] = -0.7679999999999998 " " y[1] (analytic) = 2.2711683846392683 " " y[1] (numeric) = 2.271168384639268 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.955333707767324700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2583361812378078 " " Order of pole = 0.9043926220399321 " " x[1] = -0.7669999999999998 " " y[1] (analytic) = 2.2705137773087847 " " y[1] (numeric) = 2.2705137773087842 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95589744615615900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2577314208101913 " " Order of pole = 0.9044528919739712 " " x[1] = -0.7659999999999998 " " y[1] (analytic) = 2.2698597995866727 " " y[1] (numeric) = 2.269859799586672 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.912921934041287400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2571272385594623 " " Order of pole = 0.904514738673063 " " x[1] = -0.7649999999999998 " " y[1] (analytic) = 2.26920645208121 " " y[1] (numeric) = 2.2692064520812094 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95702426917905510000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2565236326678002 " " Order of pole = 0.9045781112145246 " " x[1] = -0.7639999999999998 " " y[1] (analytic) = 2.2685537354010563 " " y[1] (numeric) = 2.268553735401056 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95758735144773800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.255920601243674 " " Order of pole = 0.9046429571453523 " " x[1] = -0.7629999999999998 " " y[1] (analytic) = 2.26790165015525 " " y[1] (numeric) = 2.2679016501552494 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.9581502126411100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2553181423242303 " " Order of pole = 0.9047092225285684 " " x[1] = -0.7619999999999998 " " y[1] (analytic) = 2.2672501969532073 " " y[1] (numeric) = 2.267250196953207 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.958712851571660600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2547162538768313 " " Order of pole = 0.9047768519726294 " " x[1] = -0.7609999999999998 " " y[1] (analytic) = 2.266599376404722 " " y[1] (numeric) = 2.2665993764047214 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.959275267049956400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2541149338016624 " " Order of pole = 0.9048457886825734 " " x[1] = -0.7599999999999998 " " y[1] (analytic) = 2.2659491891199632 " " y[1] (numeric) = 2.265949189119963 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.95983745788463800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2535141799334726 " " Order of pole = 0.904915974493429 " " x[1] = -0.7589999999999998 " " y[1] (analytic) = 2.265299635709475 " " y[1] (numeric) = 2.2652996357094746 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.960399422882426700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2529139900437765 " " Order of pole = 0.9049873499133234 " " x[1] = -0.7579999999999998 " " y[1] (analytic) = 2.264650716784174 " " y[1] (numeric) = 2.264650716784174 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2523143618435908 " " Order of pole = 0.9050598541773027 " " x[1] = -0.7569999999999998 " " y[1] (analytic) = 2.26400243295535 " " y[1] (numeric) = 2.26400243295535 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.251715292985441 " " Order of pole = 0.9051334252863654 " " x[1] = -0.7559999999999998 " " y[1] (analytic) = 2.2633547848346627 " " y[1] (numeric) = 2.2633547848346622 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.962083950892847500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.251116781065632 " " Order of pole = 0.9052080000522551 " " x[1] = -0.7549999999999998 " " y[1] (analytic) = 2.262707773034141 " " y[1] (numeric) = 2.2627077730341405 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.962645000571896500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.250518823627313 " " Order of pole = 0.9052835141580324 " " x[1] = -0.7539999999999998 " " y[1] (analytic) = 2.2620613981661823 " " y[1] (numeric) = 2.2620613981661823 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2499214181624287 " " Order of pole = 0.9053599021963947 " " x[1] = -0.7529999999999998 " " y[1] (analytic) = 2.2614156608435523 " " y[1] (numeric) = 2.2614156608435523 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2493245621149902 " " Order of pole = 0.90543709773468 " " x[1] = -0.7519999999999998 " " y[1] (analytic) = 2.2607705616793807 " " y[1] (numeric) = 2.2607705616793803 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.964326753795738500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2487282528830483 " " Order of pole = 0.9055150333538169 " " x[1] = -0.7509999999999998 " " y[1] (analytic) = 2.260126101287162 " " y[1] (numeric) = 2.2601261012871614 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.964886868910322700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2481324878219169 " " Order of pole = 0.9055936407125138 " " x[1] = -0.7499999999999998 " " y[1] (analytic) = 2.2594822802807535 " " y[1] (numeric) = 2.259482280280753 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.965446747362329400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2475372642468356 " " Order of pole = 0.9056728506003608 " " x[1] = -0.7489999999999998 " " y[1] (analytic) = 2.258839099274375 " " y[1] (numeric) = 2.258839099274375 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2469425794365647 " " Order of pole = 0.905752593009785 " " x[1] = -0.7479999999999998 " " y[1] (analytic) = 2.258196558882607 " " y[1] (numeric) = 2.2581965588826067 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.966565789427140400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2463484306349253 " " Order of pole = 0.905832797166406 " " x[1] = -0.7469999999999998 " " y[1] (analytic) = 2.2575546597203875 " " y[1] (numeric) = 2.2575546597203875 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.245754815054662 " " Order of pole = 0.905913391606795 " " x[1] = -0.7459999999999998 " " y[1] (analytic) = 2.2569134024030135 " " y[1] (numeric) = 2.256913402403014 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.967683870268241400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2451617298806497 " " Order of pole = 0.9059943042427658 " " x[1] = -0.7449999999999998 " " y[1] (analytic) = 2.256272787546139 " " y[1] (numeric) = 2.2562727875461395 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.96824254718349880000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2445691722723047 " " Order of pole = 0.9060754624098593 " " x[1] = -0.7439999999999998 " " y[1] (analytic) = 2.2556328157657717 " " y[1] (numeric) = 2.255632815765772 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.968800980133361700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2439771393673023 " " Order of pole = 0.9061567929422125 " " x[1] = -0.7429999999999998 " " y[1] (analytic) = 2.2549934876782736 " " y[1] (numeric) = 2.2549934876782745 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.93871833578813500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2433856282843616 " " Order of pole = 0.906238222228815 " " x[1] = -0.7419999999999998 " " y[1] (analytic) = 2.25435480390036 " " y[1] (numeric) = 2.2543548039003607 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.93983421847993100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2427946361268745 " " Order of pole = 0.9063196762868948 " " x[1] = -0.7409999999999998 " " y[1] (analytic) = 2.253716765049095 " " y[1] (numeric) = 2.253716765049096 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.94094960588704300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2422041599854292 " " Order of pole = 0.9064010808128771 " " x[1] = -0.7399999999999998 " " y[1] (analytic) = 2.253079371741895 " " y[1] (numeric) = 2.253079371741896 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.942064495550633400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2416141969420753 " " Order of pole = 0.9064823612690791 " " x[1] = -0.7389999999999998 " " y[1] (analytic) = 2.2524426245965232 " " y[1] (numeric) = 2.2524426245965237 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.971589442504053400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.241024744072726 " " Order of pole = 0.9065634429324074 " " x[1] = -0.7379999999999998 " " y[1] (analytic) = 2.251806524231089 " " y[1] (numeric) = 2.2518065242310894 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.972146385896555200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2404357984511092 " " Order of pole = 0.9066442509747787 " " x[1] = -0.7369999999999998 " " y[1] (analytic) = 2.251171071264048 " " y[1] (numeric) = 2.2511710712640487 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.945406153435540600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2398473571517883 " " Order of pole = 0.9067247105246388 " " x[1] = -0.7359999999999998 " " y[1] (analytic) = 2.250536266314201 " " y[1] (numeric) = 2.2505362663142012 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.973259513730771800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.23925941725383 " " Order of pole = 0.9068047467419582 " " x[1] = -0.7349999999999998 " " y[1] (analytic) = 2.2499021100006886 " " y[1] (numeric) = 2.249902110000689 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.973815695696763700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2386719758438778 " " Order of pole = 0.9068842848809808 " " x[1] = -0.7339999999999998 " " y[1] (analytic) = 2.2492686029429954 " " y[1] (numeric) = 2.249268602942996 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.974371621375081400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.238085030019986 " " Order of pole = 0.90696325036871 " " x[1] = -0.7329999999999998 " " y[1] (analytic) = 2.2486357457609447 " " y[1] (numeric) = 2.2486357457609447 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2374985768946227 " " Order of pole = 0.9070415688666458 " " x[1] = -0.7319999999999998 " " y[1] (analytic) = 2.2480035390746966 " " y[1] (numeric) = 2.248003539074697 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97548269889670500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2369126135985449 " " Order of pole = 0.9071191663502134 " " x[1] = -0.7309999999999998 " " y[1] (analytic) = 2.2473719835047508 " " y[1] (numeric) = 2.247371983504751 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97603784824936100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2363271372841436 " " Order of pole = 0.9071959691776694 " " x[1] = -0.7299999999999998 " " y[1] (analytic) = 2.24674107967194 " " y[1] (numeric) = 2.2467410796719407 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.95318547266609640000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2357421451285897 " " Order of pole = 0.9072719041549764 " " x[1] = -0.7289999999999998 " " y[1] (analytic) = 2.2461108281974322 " " y[1] (numeric) = 2.2461108281974327 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97714736189779580000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2351576343377246 " " Order of pole = 0.9073468986160478 " " x[1] = -0.7279999999999998 " " y[1] (analytic) = 2.2454812297027273 " " y[1] (numeric) = 2.245481229702728 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97770172369178180000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2345736021492657 " " Order of pole = 0.907420880488992 " " x[1] = -0.7269999999999998 " " y[1] (analytic) = 2.244852284809656 " " y[1] (numeric) = 2.2448522848096566 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.97825582046133400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2339900458364674 " " Order of pole = 0.907493778371947 " " x[1] = -0.7259999999999998 " " y[1] (analytic) = 2.2442239941403788 " " y[1] (numeric) = 2.2442239941403797 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.957619301901861300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2334069627115205 " " Order of pole = 0.907565521603523 " " x[1] = -0.7249999999999998 " " y[1] (analytic) = 2.243596358317384 " " y[1] (numeric) = 2.243596358317385 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.95872642780641200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2328243501285385 " " Order of pole = 0.9076360403250145 " " x[1] = -0.7239999999999998 " " y[1] (analytic) = 2.2429693779634863 " " y[1] (numeric) = 2.242969377963487 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.959833016117904600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2322422054879234 " " Order of pole = 0.9077052655708737 " " x[1] = -0.7229999999999998 " " y[1] (analytic) = 2.242343053701825 " " y[1] (numeric) = 2.2423430537018265 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.94140859647136600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2316605262386622 " " Order of pole = 0.9077731293170128 " " x[1] = -0.7219999999999998 " " y[1] (analytic) = 2.2417173861558646 " " y[1] (numeric) = 2.2417173861558655 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.962044569869660500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2310793098825865 " " Order of pole = 0.9078395645692883 " " x[1] = -0.7209999999999998 " " y[1] (analytic) = 2.241092375949388 " " y[1] (numeric) = 2.241092375949389 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.9631495302547204000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2304985539773292 " " Order of pole = 0.9079045054255772 " " x[1] = -0.7199999999999998 " " y[1] (analytic) = 2.2404680237065016 " " y[1] (numeric) = 2.2404680237065024 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.96425394293632400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2299182561396425 " " Order of pole = 0.9079678871451975 " " x[1] = -0.7189999999999998 " " y[1] (analytic) = 2.239844330051629 " " y[1] (numeric) = 2.2398443300516298 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.965357805377718300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.229338414048858 " " Order of pole = 0.9080296462214861 " " x[1] = -0.7179999999999997 " " y[1] (analytic) = 2.2392212956095108 " " y[1] (numeric) = 2.239221295609512 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.94969167255774900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.228759025449745 " " Order of pole = 0.908089720441966 " " x[1] = -0.7169999999999997 " " y[1] (analytic) = 2.238598921005205 " " y[1] (numeric) = 2.238598921005206 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.967563869374616000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2281800881565335 " " Order of pole = 0.9081480489725866 " " x[1] = -0.7159999999999997 " " y[1] (analytic) = 2.237977206864081 " " y[1] (numeric) = 2.237977206864082 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.95299909875757900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2276016000546988 " " Order of pole = 0.9082045723964356 " " x[1] = -0.7149999999999997 " " y[1] (analytic) = 2.237356153811823 " " y[1] (numeric) = 2.2373561538118243 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.95465155281773100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2270235591058005 " " Order of pole = 0.9082592328145118 " " x[1] = -0.7139999999999997 " " y[1] (analytic) = 2.236735762474425 " " y[1] (numeric) = 2.236735762474426 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.95630316240996400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.226445963348946 " " Order of pole = 0.9083119738781456 " " x[1] = -0.7129999999999997 " " y[1] (analytic) = 2.2361160334781895 " " y[1] (numeric) = 2.236116033478191 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.95795392369643100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.225868810905121 " " Order of pole = 0.9083627408796708 " " x[1] = -0.7119999999999997 " " y[1] (analytic) = 2.2354969674497287 " " y[1] (numeric) = 2.2354969674497296 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.97306922188924100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2252920999788817 " " Order of pole = 0.9084114807894998 " " x[1] = -0.7109999999999997 " " y[1] (analytic) = 2.2348785650159586 " " y[1] (numeric) = 2.2348785650159595 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.97416859064905370000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.224715828862194 " " Order of pole = 0.9084581423370839 " " x[1] = -0.7099999999999997 " " y[1] (analytic) = 2.234260826804101 " " y[1] (numeric) = 2.234260826804102 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.97526738617433700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2241399959369972 " " Order of pole = 0.9085026760658685 " " x[1] = -0.7089999999999997 " " y[1] (analytic) = 2.2336437534416804 " " y[1] (numeric) = 2.2336437534416813 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.97636560589210930000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2235645996777904 " " Order of pole = 0.9085450343888581 " " x[1] = -0.7079999999999997 " " y[1] (analytic) = 2.2330273455565215 " " y[1] (numeric) = 2.2330273455565224 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.97746324722580100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.222989638654328 " " Order of pole = 0.9085851716462905 " " x[1] = -0.7069999999999997 " " y[1] (analytic) = 2.2324116037767494 " " y[1] (numeric) = 2.2324116037767503 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.978560307595260000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.22241511153448 " " Order of pole = 0.9086230441670491 " " x[1] = -0.7059999999999997 " " y[1] (analytic) = 2.231796528730787 " " y[1] (numeric) = 2.2317965287307873 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.989828392208380400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.221841017086146 " " Order of pole = 0.9086586103105212 " " x[1] = -0.7049999999999997 " " y[1] (analytic) = 2.2311821210473517 " " y[1] (numeric) = 2.231182121047352 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.990376337551505000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.221267354181152 " " Order of pole = 0.9086918305490226 " " x[1] = -0.7039999999999997 " " y[1] (analytic) = 2.2305683813554573 " " y[1] (numeric) = 2.230568381355458 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.9818479770631500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2206941217947758 " " Order of pole = 0.9087226674614417 " " x[1] = -0.7029999999999997 " " y[1] (analytic) = 2.22995531028441 " " y[1] (numeric) = 2.229955310284411 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.9829426877027700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2201213190117501 " " Order of pole = 0.9087510858583592 " " x[1] = -0.7019999999999997 " " y[1] (analytic) = 2.2293429084638063 " " y[1] (numeric) = 2.2293429084638072 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.98403680442391160000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2195489450249917 " " Order of pole = 0.9087770527595982 " " x[1] = -0.7009999999999997 " " y[1] (analytic) = 2.2287311765235325 " " y[1] (numeric) = 2.2287311765235334 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.98513032462507600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.21897699914003 " " Order of pole = 0.9088005374875348 " " x[1] = -0.6999999999999997 " " y[1] (analytic) = 2.228120115093762 " " y[1] (numeric) = 2.228120115093763 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.986223245701228700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2184054807757712 " " Order of pole = 0.9088215116859093 " " x[1] = -0.6989999999999997 " " y[1] (analytic) = 2.2275097248049547 " " y[1] (numeric) = 2.227509724804956 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.98097334756571700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.217834389466601 " " Order of pole = 0.9088399493659782 " " x[1] = -0.6979999999999997 " " y[1] (analytic) = 2.226900006287855 " " y[1] (numeric) = 2.226900006287856 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.98261092006111200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2172637248646978 " " Order of pole = 0.9088558269568168 " " x[1] = -0.6969999999999997 " " y[1] (analytic) = 2.2262909601734884 " " y[1] (numeric) = 2.2262909601734897 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.9842475821146400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2166934867409032 " " Order of pole = 0.908869123326344 " " x[1] = -0.6959999999999997 " " y[1] (analytic) = 2.225682587093162 " " y[1] (numeric) = 2.2256825870931634 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.98588332979765700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2161236749866997 " " Order of pole = 0.9088798198250121 " " x[1] = -0.6949999999999997 " " y[1] (analytic) = 2.225074887678462 " " y[1] (numeric) = 2.2250748876784634 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.98751815917626400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2155542896157736 " " Order of pole = 0.9088879003207548 " " x[1] = -0.6939999999999997 " " y[1] (analytic) = 2.2244678625612515 " " y[1] (numeric) = 2.224467862561253 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.98915206631133500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2149853307649143 " " Order of pole = 0.9088933512206925 " " x[1] = -0.6929999999999997 " " y[1] (analytic) = 2.2238615123736682 " " y[1] (numeric) = 2.2238615123736696 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.99078504725851600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2144167986959382 " " Order of pole = 0.9088961615135549 " " x[1] = -0.6919999999999997 " " y[1] (analytic) = 2.2232558377481246 " " y[1] (numeric) = 2.223255837748126 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.99241709806823500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2138486937958353 " " Order of pole = 0.9088963227758775 " " x[1] = -0.6909999999999997 " " y[1] (analytic) = 2.2226508393173043 " " y[1] (numeric) = 2.2226508393173057 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.99404821478572300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2132810165784702 " " Order of pole = 0.9088938292099069 " " x[1] = -0.6899999999999997 " " y[1] (analytic) = 2.2220465177141615 " " y[1] (numeric) = 2.2220465177141624 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.99711892896734700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2127137676853248 " " Order of pole = 0.9088886776618299 " " x[1] = -0.6889999999999997 " " y[1] (analytic) = 2.221442873571917 " " y[1] (numeric) = 2.221442873571918 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.998205086732658500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2121469478859743 " " Order of pole = 0.9088808676348012 " " x[1] = -0.6879999999999997 " " y[1] (analytic) = 2.2208399075240597 " " y[1] (numeric) = 2.2208399075240606 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.99929061383954400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2115805580788166 " " Order of pole = 0.908870401306622 " " x[1] = -0.6869999999999997 " " y[1] (analytic) = 2.2202376202043417 " " y[1] (numeric) = 2.220237620204343 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.00056326145654400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2110145992916135 " " Order of pole = 0.9088572835440036 " " x[1] = -0.6859999999999997 " " y[1] (analytic) = 2.219636012246779 " " y[1] (numeric) = 2.2196360122467804 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.00218964821006100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2104490726816914 " " Order of pole = 0.9088415219096078 " " x[1] = -0.6849999999999997 " " y[1] (analytic) = 2.2190350842856477 " " y[1] (numeric) = 2.219035084285649 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.00381507703413300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.209883979536536 " " Order of pole = 0.9088231266771309 " " x[1] = -0.6839999999999997 " " y[1] (analytic) = 2.2184348369554834 " " y[1] (numeric) = 2.218434836955484 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.00181318131263200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.20931932127313 " " Order of pole = 0.9088021108205222 " " x[1] = -0.6829999999999997 " " y[1] (analytic) = 2.2178352708910762 " " y[1] (numeric) = 2.217835270891077 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.004708696616927600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2087550994387715 " " Order of pole = 0.9087784900336455 " " x[1] = -0.6819999999999997 " " y[1] (analytic) = 2.2172363867274756 " " y[1] (numeric) = 2.2172363867274765 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.005790383997034400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2081913157101187 " " Order of pole = 0.9087522827133085 " " x[1] = -0.6809999999999997 " " y[1] (analytic) = 2.2166381850999817 " " y[1] (numeric) = 2.2166381850999826 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.00687142209482370000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2076279718934404 " " Order of pole = 0.9087235099671549 " " x[1] = -0.6799999999999997 " " y[1] (analytic) = 2.216040666644146 " " y[1] (numeric) = 2.2160406666441474 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.01192771235422800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.207065069923861 " " Order of pole = 0.9086921956007732 " " x[1] = -0.6789999999999997 " " y[1] (analytic) = 2.2154438319957714 " " y[1] (numeric) = 2.2154438319957728 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.01354730961525400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.206502611864797 " " Order of pole = 0.9086583661085896 " " x[1] = -0.6779999999999997 " " y[1] (analytic) = 2.214847681790906 " " y[1] (numeric) = 2.2148476817909075 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.01516592090399800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2059405999071358 " " Order of pole = 0.9086220506594032 " " x[1] = -0.6769999999999997 " " y[1] (analytic) = 2.214252216665846 " " y[1] (numeric) = 2.214252216665847 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.01678354219410600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2053790363687755 " " Order of pole = 0.9085832810895038 " " x[1] = -0.6759999999999997 " " y[1] (analytic) = 2.213657437257129 " " y[1] (numeric) = 2.21365743725713 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.0122667796361400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2048179236932333 " " Order of pole = 0.9085420918760949 " " x[1] = -0.6749999999999997 " " y[1] (analytic) = 2.2130633442015366 " " y[1] (numeric) = 2.213063344201537 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.006671932882644300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2042572644483933 " " Order of pole = 0.9084985201139588 " " x[1] = -0.6739999999999997 " " y[1] (analytic) = 2.2124699381360875 " " y[1] (numeric) = 2.2124699381360884 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01442028382260400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2036970613256806 " " Order of pole = 0.9084526055004023 " " x[1] = -0.6729999999999997 " " y[1] (analytic) = 2.211877219698042 " " y[1] (numeric) = 2.2118772196980423 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.007748015555258500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.203137317138095 " " Order of pole = 0.9084043902969441 " " x[1] = -0.6719999999999997 " " y[1] (analytic) = 2.211285189524892 " " y[1] (numeric) = 2.2112851895248933 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.02485665739222700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2025780348192678 " " Order of pole = 0.908353919311736 " " x[1] = -0.6709999999999997 " " y[1] (analytic) = 2.210693848254368 " " y[1] (numeric) = 2.210693848254369 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01764550257132300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2020192174210904 " " Order of pole = 0.9083012398525803 " " x[1] = -0.6699999999999997 " " y[1] (analytic) = 2.2101031965244293 " " y[1] (numeric) = 2.21010319652443 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01871922133255800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2014608681125591 " " Order of pole = 0.9082464017048366 " " x[1] = -0.6689999999999997 " " y[1] (analytic) = 2.2095132349732656 " " y[1] (numeric) = 2.2095132349732665 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01979225850109900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2009029901772215 " " Order of pole = 0.9081894570804128 " " x[1] = -0.6679999999999997 " " y[1] (analytic) = 2.2089239642392955 " " y[1] (numeric) = 2.2089239642392964 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.020864611362909300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.2003455870113853 " " Order of pole = 0.9081304605823579 " " x[1] = -0.6669999999999997 " " y[1] (analytic) = 2.2083353849611624 " " y[1] (numeric) = 2.2083353849611633 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.02193627720069100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1997886621219869 " " Order of pole = 0.9080694691622497 " " x[1] = -0.6659999999999997 " " y[1] (analytic) = 2.2077474977777354 " " y[1] (numeric) = 2.207747497777736 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01150362664694220000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1992322191239093 " " Order of pole = 0.908006542066234 " " x[1] = -0.6649999999999997 " " y[1] (analytic) = 2.2071603033281026 " " y[1] (numeric) = 2.2071603033281035 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.024077536918686500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1986762617376645 " " Order of pole = 0.9079417407882193 " " x[1] = -0.6639999999999997 " " y[1] (analytic) = 2.206573802251575 " " y[1] (numeric) = 2.206573802251576 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.02514712534805400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1981207937869294 " " Order of pole = 0.9078751290202192 " " x[1] = -0.6629999999999997 " " y[1] (analytic) = 2.20598799518768 " " y[1] (numeric) = 2.2059879951876806 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01310800792585700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1975658191954193 " " Order of pole = 0.9078067725885219 " " x[1] = -0.6619999999999997 " " y[1] (analytic) = 2.2054028827761605 " " y[1] (numeric) = 2.205402882776161 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.013642102848089100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1970113419843533 " " Order of pole = 0.9077367394023099 " " x[1] = -0.6609999999999997 " " y[1] (analytic) = 2.2048184656569734 " " y[1] (numeric) = 2.204818465656974 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01417584607237330000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1964573662693403 " " Order of pole = 0.9076650993898419 " " x[1] = -0.6599999999999997 " " y[1] (analytic) = 2.204234744470287 " " y[1] (numeric) = 2.2042347444702877 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01470923622875900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1959038962572495 " " Order of pole = 0.9075919244343229 " " x[1] = -0.6589999999999997 " " y[1] (analytic) = 2.2036517198564796 " " y[1] (numeric) = 2.20365171985648 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.015242271945702500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1953509362430133 " " Order of pole = 0.9075172883082914 " " x[1] = -0.6579999999999997 " " y[1] (analytic) = 2.2030693924561366 " " y[1] (numeric) = 2.2030693924561366 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1947984906062505 " " Order of pole = 0.907441266603989 " " x[1] = -0.6569999999999997 " " y[1] (analytic) = 2.2024877629100477 " " y[1] (numeric) = 2.202487762910048 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01630727456713600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1942465638078534 " " Order of pole = 0.907363936662847 " " x[1] = -0.6559999999999997 " " y[1] (analytic) = 2.2019068318592074 " " y[1] (numeric) = 2.201906831859208 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.016839238720606300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1936951603864292 " " Order of pole = 0.9072853775018928 " " x[1] = -0.6549999999999997 " " y[1] (analytic) = 2.201326599944811 " " y[1] (numeric) = 2.201326599944811 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1931442849545713 " " Order of pole = 0.907205669736447 " " x[1] = -0.6539999999999997 " " y[1] (analytic) = 2.200747067808251 " " y[1] (numeric) = 2.2007470678082512 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01790208582368400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1925939421951308 " " Order of pole = 0.9071248955025375 " " x[1] = -0.6529999999999997 " " y[1] (analytic) = 2.2001682360911183 " " y[1] (numeric) = 2.200168236091119 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.018432966012836000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1920441368573818 " " Order of pole = 0.9070431383771709 " " x[1] = -0.6519999999999997 " " y[1] (analytic) = 2.199590105435198 " " y[1] (numeric) = 2.1995901054351985 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.018963482117490700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1914948737529318 " " Order of pole = 0.9069604832929326 " " x[1] = -0.6509999999999997 " " y[1] (analytic) = 2.1990126764824676 " " y[1] (numeric) = 2.199012676482468 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01949363275352300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1909461577517861 " " Order of pole = 0.9068770164557698 " " x[1] = -0.6499999999999997 " " y[1] (analytic) = 2.198435949875095 " " y[1] (numeric) = 2.198435949875095 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1903979937782085 " " Order of pole = 0.9067928252582895 " " x[1] = -0.6489999999999997 " " y[1] (analytic) = 2.1978599262554352 " " y[1] (numeric) = 2.1978599262554352 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1898503868063597 " " Order of pole = 0.906707998188379 " " x[1] = -0.6479999999999997 " " y[1] (analytic) = 2.1972846062660305 " " y[1] (numeric) = 2.1972846062660305 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1893033418561187 " " Order of pole = 0.9066226247413685 " " x[1] = -0.6469999999999997 " " y[1] (analytic) = 2.1967099905496053 " " y[1] (numeric) = 2.1967099905496057 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.021610552874819000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1887568639886783 " " Order of pole = 0.9065367953272556 " " x[1] = -0.6459999999999997 " " y[1] (analytic) = 2.196136079749067 " " y[1] (numeric) = 2.1961360797490674 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.022138855351826600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1882109583019413 " " Order of pole = 0.9064506011739013 " " x[1] = -0.6449999999999997 " " y[1] (analytic) = 2.1955628745075013 " " y[1] (numeric) = 2.1955628745075018 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.022666784023111600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1876656299262471 " " Order of pole = 0.9063641342366608 " " x[1] = -0.6439999999999997 " " y[1] (analytic) = 2.194990375468172 " " y[1] (numeric) = 2.194990375468172 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1871208840195253 " " Order of pole = 0.9062774870959611 " " x[1] = -0.6429999999999997 " " y[1] (analytic) = 2.194418583274515 " " y[1] (numeric) = 2.194418583274515 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1865767257628574 " " Order of pole = 0.9061907528634201 " " x[1] = -0.6419999999999997 " " y[1] (analytic) = 2.1938474985701415 " " y[1] (numeric) = 2.193847498570142 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.024248313246483600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1860331603556211 " " Order of pole = 0.9061040250787471 " " x[1] = -0.6409999999999997 " " y[1] (analytic) = 2.193277121998832 " " y[1] (numeric) = 2.1932771219988325 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.024774732731193200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1854901930108435 " " Order of pole = 0.906017397611194 " " x[1] = -0.6399999999999997 " " y[1] (analytic) = 2.1927074542045344 " " y[1] (numeric) = 2.192707454204535 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.025300771420820200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1849478289503554 " " Order of pole = 0.9059309645564699 " " x[1] = -0.6389999999999997 " " y[1] (analytic) = 2.1921384958313626 " " y[1] (numeric) = 2.192138495831363 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.02582642791300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.18440607339998 " " Order of pole = 0.9058448201343001 " " x[1] = -0.6379999999999997 " " y[1] (analytic) = 2.1915702475235945 " " y[1] (numeric) = 2.1915702475235945 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1838649315846834 " " Order of pole = 0.9057590585849837 " " x[1] = -0.6369999999999997 " " y[1] (analytic) = 2.1910027099256677 " " y[1] (numeric) = 2.191002709925668 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.026876588688148500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1833244087236099 " " Order of pole = 0.9056737740634002 " " x[1] = -0.6359999999999997 " " y[1] (analytic) = 2.1904358836821802 " " y[1] (numeric) = 2.1904358836821807 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.027401090158991700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1827845100252403 " " Order of pole = 0.9055890605354229 " " x[1] = -0.6349999999999997 " " y[1] (analytic) = 2.1898697694378852 " " y[1] (numeric) = 2.1898697694378857 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.027925203808148300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.182245240682491 " " Order of pole = 0.9055050116730534 " " x[1] = -0.6339999999999997 " " y[1] (analytic) = 2.1893043678376904 " " y[1] (numeric) = 2.1893043678376913 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.05689785645178300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1817066058675987 " " Order of pole = 0.9054217207445774 " " x[1] = -0.6329999999999997 " " y[1] (analytic) = 2.1887396795266563 " " y[1] (numeric) = 2.1887396795266567 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.028972262001037500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1811686107273787 " " Order of pole = 0.9053392805129601 " " x[1] = -0.6319999999999997 " " y[1] (analytic) = 2.18817570514999 " " y[1] (numeric) = 2.188175705149991 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.058990407441912500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1806312603781415 " " Order of pole = 0.905257783126272 " " x[1] = -0.6309999999999997 " " y[1] (analytic) = 2.1876124453530497 " " y[1] (numeric) = 2.18761244535305 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.030017751971569500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1800945599007682 " " Order of pole = 0.905177320011795 " " x[1] = -0.6299999999999997 " " y[1] (analytic) = 2.187049900781334 " " y[1] (numeric) = 2.187049900781335 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.061079810674732600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1795585143357366 " " Order of pole = 0.9050979817687548 " " x[1] = -0.6289999999999997 " " y[1] (analytic) = 2.1864880720804876 " " y[1] (numeric) = 2.186488072080488 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.031061662401399700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1790231286783093 " " Order of pole = 0.905019858064346 " " x[1] = -0.6279999999999997 " " y[1] (analytic) = 2.1859269598962916 " " y[1] (numeric) = 2.1859269598962925 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.063166043490601000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1784884078735525 " " Order of pole = 0.904943037526019 " " x[1] = -0.6269999999999997 " " y[1] (analytic) = 2.185366564874668 " " y[1] (numeric) = 2.185366564874669 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.06420796389855400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1779543568113748 " " Order of pole = 0.9048676076340172 " " x[1] = -0.6259999999999997 " " y[1] (analytic) = 2.1848068876616726 " " y[1] (numeric) = 2.184806887661673 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.032624541592125700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1774209803219235 " " Order of pole = 0.9047936546215798 " " x[1] = -0.6249999999999997 " " y[1] (analytic) = 2.184247928903493 " " y[1] (numeric) = 2.184247928903493 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1768882831705092 " " Order of pole = 0.9047212633646442 " " x[1] = -0.6239999999999997 " " y[1] (analytic) = 2.1836896892464464 " " y[1] (numeric) = 2.183689689246447 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03366445350259520000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.176356270053082 " " Order of pole = 0.9046505172834003 " " x[1] = -0.6229999999999997 " " y[1] (analytic) = 2.183132169336981 " " y[1] (numeric) = 2.1831321693369814 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.034183802920795600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1758249455913106 " " Order of pole = 0.9045814982351228 " " x[1] = -0.6219999999999997 " " y[1] (analytic) = 2.182575369821668 " " y[1] (numeric) = 2.1825753698216683 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03470274607904100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1752943143281485 " " Order of pole = 0.9045142864173936 " " x[1] = -0.6209999999999997 " " y[1] (analytic) = 2.182019291347202 " " y[1] (numeric) = 2.1820192913472023 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.035221281549152700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1747643807229986 " " Order of pole = 0.9044489602623944 " " x[1] = -0.6199999999999997 " " y[1] (analytic) = 2.1814639345603974 " " y[1] (numeric) = 2.181463934560398 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03573940790157610000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.174235149147497 " " Order of pole = 0.9043855963446781 " " x[1] = -0.6189999999999997 " " y[1] (analytic) = 2.1809093001081883 " " y[1] (numeric) = 2.1809093001081887 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.036257123705386100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1737066238807405 " " Order of pole = 0.9043242692763886 " " x[1] = -0.6179999999999997 " " y[1] (analytic) = 2.1803553886376226 " " y[1] (numeric) = 2.180355388637623 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.036774427528294800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1731788091052278 " " Order of pole = 0.9042650516181094 " " x[1] = -0.6169999999999997 " " y[1] (analytic) = 2.179802200795862 " " y[1] (numeric) = 2.179802200795862 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1726517089022357 " " Order of pole = 0.9042080137772608 " " x[1] = -0.6159999999999997 " " y[1] (analytic) = 2.179249737230178 " " y[1] (numeric) = 2.1792497372301782 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.037807793495476600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1721253272479626 " " Order of pole = 0.9041532239227958 " " x[1] = -0.6149999999999997 " " y[1] (analytic) = 2.178697998587951 " " y[1] (numeric) = 2.1786979985879515 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.038323852768414400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1715996680092102 " " Order of pole = 0.9041007478900678 " " x[1] = -0.6139999999999997 " " y[1] (analytic) = 2.178146985516667 " " y[1] (numeric) = 2.178146985516667 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1710747349395563 " " Order of pole = 0.9040506490959181 " " x[1] = -0.6129999999999997 " " y[1] (analytic) = 2.1775966986639124 " " y[1] (numeric) = 2.177596698663913 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03935471670460500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1705505316751792 " " Order of pole = 0.9040029884461429 " " x[1] = -0.6119999999999997 " " y[1] (analytic) = 2.177047138677377 " " y[1] (numeric) = 2.1770471386773775 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.039869518488517700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1700270617315058 " " Order of pole = 0.9039578242609689 " " x[1] = -0.6109999999999997 " " y[1] (analytic) = 2.1764983062048473 " " y[1] (numeric) = 2.1764983062048477 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.040383898227880700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1695043284992175 " " Order of pole = 0.9039152121859431 " " x[1] = -0.6099999999999997 " " y[1] (analytic) = 2.175950201894204 " " y[1] (numeric) = 2.1759502018942047 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.08179570895946900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1689823352407294 " " Order of pole = 0.9038752051134988 " " x[1] = -0.6089999999999997 " " y[1] (analytic) = 2.1754028263934218 " " y[1] (numeric) = 2.1754028263934226 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.08282277159962700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1684610850870383 " " Order of pole = 0.9038378531120763 " " x[1] = -0.6079999999999997 " " y[1] (analytic) = 2.174856180350565 " " y[1] (numeric) = 2.1748561803505657 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.08384898148511100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1679405810342487 " " Order of pole = 0.9038032033482644 " " x[1] = -0.6069999999999997 " " y[1] (analytic) = 2.174310264413785 " " y[1] (numeric) = 2.1743102644137857 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.084874335722214500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1674208259404784 " " Order of pole = 0.9037713000170484 " " x[1] = -0.6059999999999997 " " y[1] (analytic) = 2.173765079231319 " " y[1] (numeric) = 2.1737650792313192 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.042949415707332700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.166901822522807 " " Order of pole = 0.9037421842728559 " " x[1] = -0.6049999999999996 " " y[1] (analytic) = 2.173220625451484 " " y[1] (numeric) = 2.1732206254514845 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.04346123283181890000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1663835733545829 " " Order of pole = 0.9037158941683554 " " x[1] = -0.6039999999999996 " " y[1] (analytic) = 2.17267690372268 " " y[1] (numeric) = 2.1726769037226803 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.043972617783882400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1658660808626844 " " Order of pole = 0.9036924645921065 " " x[1] = -0.6029999999999996 " " y[1] (analytic) = 2.172133914693381 " " y[1] (numeric) = 2.1721339146933816 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.044483569111577300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1653493473247734 " " Order of pole = 0.903671927205906 " " x[1] = -0.6019999999999996 " " y[1] (analytic) = 2.1715916590121376 " " y[1] (numeric) = 2.171591659012138 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.044994085361701600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.16483337486736 " " Order of pole = 0.903654310399876 " " x[1] = -0.6009999999999996 " " y[1] (analytic) = 2.171050137327571 " " y[1] (numeric) = 2.171050137327571 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1643181654630774 " " Order of pole = 0.9036396392299206 " " x[1] = -0.5999999999999996 " " y[1] (analytic) = 2.17050935028837 " " y[1] (numeric) = 2.1705093502883703 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.04601380681019300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1638037209291203 " " Order of pole = 0.9036279353809888 " " x[1] = -0.5989999999999996 " " y[1] (analytic) = 2.1699692985432923 " " y[1] (numeric) = 2.169969298543293 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.046523009095940500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1632900429249753 " " Order of pole = 0.9036192171141746 " " x[1] = -0.5979999999999996 " " y[1] (analytic) = 2.169429982741158 " " y[1] (numeric) = 2.1694299827411583 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.047031770478893000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1627771329510386 " " Order of pole = 0.9036134992336429 " " x[1] = -0.5969999999999996 " " y[1] (analytic) = 2.1688914035308473 " " y[1] (numeric) = 2.1688914035308478 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.047540089499674800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1622649923470634 " " Order of pole = 0.9036107930494683 " " x[1] = -0.5959999999999996 " " y[1] (analytic) = 2.1683535615612994 " " y[1] (numeric) = 2.1683535615613003 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.09609592939539800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1617536222905664 " " Order of pole = 0.903611106339639 " " x[1] = -0.5949999999999996 " " y[1] (analytic) = 2.1678164574815098 " " y[1] (numeric) = 2.1678164574815106 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.09711078922234300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.161243023795971 " " Order of pole = 0.9036144433279727 " " x[1] = -0.5939999999999996 " " y[1] (analytic) = 2.167280091940525 " " y[1] (numeric) = 2.167280091940526 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.14718713333130300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1607331977135242 " " Order of pole = 0.9036208046572156 " " x[1] = -0.5929999999999996 " " y[1] (analytic) = 2.1667444655874433 " " y[1] (numeric) = 2.166744465587444 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.099137825462607600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1602241447287385 " " Order of pole = 0.9036301873734267 " " x[1] = -0.5919999999999996 " " y[1] (analytic) = 2.166209579071408 " " y[1] (numeric) = 2.1662095790714093 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.15022499402524500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1597158653615367 " " Order of pole = 0.9036425849038832 " " x[1] = -0.5909999999999996 " " y[1] (analytic) = 2.1656754330416095 " " y[1] (numeric) = 2.165675433041611 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.15174189642567200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1592083599659888 " " Order of pole = 0.9036579870478256 " " x[1] = -0.5899999999999996 " " y[1] (analytic) = 2.165142028147278 " " y[1] (numeric) = 2.1651420281472795 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.1532574409920590000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.158701628730162 " " Order of pole = 0.903676379969788 " " x[1] = -0.5889999999999996 " " y[1] (analytic) = 2.164609365037684 " " y[1] (numeric) = 2.1646093650376854 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.1547716233177900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1581956716763298 " " Order of pole = 0.9036977462006455 " " x[1] = -0.5879999999999996 " " y[1] (analytic) = 2.164077444362133 " " y[1] (numeric) = 2.1640774443621345 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.15628443899278700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1576904886609671 " " Order of pole = 0.9037220646340547 " " x[1] = -0.5869999999999996 " " y[1] (analytic) = 2.1635462667699645 " " y[1] (numeric) = 2.163546266769966 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.15779588360353300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1571860793752864 " " Order of pole = 0.9037493105345877 " " x[1] = -0.5859999999999996 " " y[1] (analytic) = 2.163015832910548 " " y[1] (numeric) = 2.1630158329105496 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.15930595273309700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1566824433457683 " " Order of pole = 0.9037794555459335 " " x[1] = -0.5849999999999996 " " y[1] (analytic) = 2.1624861434332816 " " y[1] (numeric) = 2.1624861434332834 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.21441952261487800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.156179579935034 " " Order of pole = 0.9038124677064605 " " x[1] = -0.5839999999999996 " " y[1] (analytic) = 2.161957198987588 " " y[1] (numeric) = 2.1619571989875896 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.21642926248536200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1556774883431167 " " Order of pole = 0.903848311473558 " " x[1] = -0.5829999999999996 " " y[1] (analytic) = 2.161429000222911 " " y[1] (numeric) = 2.161429000222913 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.21843715068620100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1551761676087122 " " Order of pole = 0.9038869477476812 " " x[1] = -0.5819999999999996 " " y[1] (analytic) = 2.1609015477887157 " " y[1] (numeric) = 2.160901547788717 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.16533238598268400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1546756166101355 " " Order of pole = 0.9039283338896773 " " x[1] = -0.5809999999999996 " " y[1] (analytic) = 2.1603748423344813 " " y[1] (numeric) = 2.1603748423344826 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.16683551133446600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1541758340677277 " " Order of pole = 0.9039724237703108 " " x[1] = -0.5799999999999996 " " y[1] (analytic) = 2.1598488845097013 " " y[1] (numeric) = 2.159848884509703 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.22444964617741700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1536768185450796 " " Order of pole = 0.9040191677935745 " " x[1] = -0.5789999999999996 " " y[1] (analytic) = 2.159323674963881 " " y[1] (numeric) = 2.1593236749638822 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.16983755143828900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1531785684517495 " " Order of pole = 0.9040685129531276 " " x[1] = -0.5779999999999996 " " y[1] (analytic) = 2.1587992143465313 " " y[1] (numeric) = 2.1587992143465327 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.17133645730673200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.152681082044663 " " Order of pole = 0.9041204028593945 " " x[1] = -0.5769999999999996 " " y[1] (analytic) = 2.1582755033071694 " " y[1] (numeric) = 2.1582755033071708 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.17283394779177700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1521843574318151 " " Order of pole = 0.9041747778180085 " " x[1] = -0.5759999999999996 " " y[1] (analytic) = 2.1577525424953135 " " y[1] (numeric) = 2.1577525424953152 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.23244002459150600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1516883925742587 " " Order of pole = 0.9042315748701881 " " x[1] = -0.5749999999999996 " " y[1] (analytic) = 2.1572303325604825 " " y[1] (numeric) = 2.157230332560484 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.17582466480933700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.151193185288414 " " Order of pole = 0.9042907278397276 " " x[1] = -0.5739999999999996 " " y[1] (analytic) = 2.1567088741521885 " " y[1] (numeric) = 2.1567088741521903 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.23642384324376600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.150698733250391 " " Order of pole = 0.9043521674258201 " " x[1] = -0.5729999999999996 " " y[1] (analytic) = 2.1561881679199395 " " y[1] (numeric) = 2.156188167919941 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.178809666854900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1502050339984395 " " Order of pole = 0.9044158212532913 " " x[1] = -0.5719999999999996 " " y[1] (analytic) = 2.155668214513231 " " y[1] (numeric) = 2.155668214513233 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.24040001815106500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1497120849369924 " " Order of pole = 0.9044816139589233 " " x[1] = -0.5709999999999996 " " y[1] (analytic) = 2.155149014581549 " " y[1] (numeric) = 2.1551490145815504 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.18178891824269300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1492198833397322 " " Order of pole = 0.9045494672557943 " " x[1] = -0.5699999999999996 " " y[1] (analytic) = 2.1546305687743605 " " y[1] (numeric) = 2.154630568774362 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.18327637627472400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1487284263539888 " " Order of pole = 0.9046193000275711 " " x[1] = -0.5689999999999996 " " y[1] (analytic) = 2.1541128777411154 " " y[1] (numeric) = 2.1541128777411167 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.18476238323803300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1482377110044442 " " Order of pole = 0.9046910284070986 " " x[1] = -0.5679999999999996 " " y[1] (analytic) = 2.153595942131241 " " y[1] (numeric) = 2.153595942131243 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.24832924621102600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1477477341974975 " " Order of pole = 0.9047645658702539 " " x[1] = -0.5669999999999996 " " y[1] (analytic) = 2.1530797625941416 " " y[1] (numeric) = 2.1530797625941434 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.25030670141083900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1472584927256422 " " Order of pole = 0.9048398233296933 " " x[1] = -0.5659999999999996 " " y[1] (analytic) = 2.1525643397791914 " " y[1] (numeric) = 2.152564339779193 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.25228220394317200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1467699832722684 " " Order of pole = 0.9049167092384423 " " x[1] = -0.5649999999999996 " " y[1] (analytic) = 2.152049674335735 " " y[1] (numeric) = 2.152049674335737 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.25425574783050300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1462822024158814 " " Order of pole = 0.9049951296805592 " " x[1] = -0.5639999999999996 " " y[1] (analytic) = 2.1515357669130837 " " y[1] (numeric) = 2.151535766913085 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.19217049531860200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.14579514663559 " " Order of pole = 0.9050749884900302 " " x[1] = -0.5629999999999996 " " y[1] (analytic) = 2.15102261816051 " " y[1] (numeric) = 2.151022618160512 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.25819693574090500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1453088123157298 " " Order of pole = 0.9051561873508138 " " x[1] = -0.5619999999999996 " " y[1] (analytic) = 2.1505102287272493 " " y[1] (numeric) = 2.1505102287272506 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.195123425842400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1448231957514299 " " Order of pole = 0.9052386259177378 " " x[1] = -0.5609999999999996 " " y[1] (analytic) = 2.1499985992624913 " " y[1] (numeric) = 2.1499985992624926 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.19659766293425700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1443382931537276 " " Order of pole = 0.9053222019276088 " " x[1] = -0.5599999999999996 " " y[1] (analytic) = 2.1494877304153808 " " y[1] (numeric) = 2.1494877304153825 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.26409387811195200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1438541006552077 " " Order of pole = 0.9054068113221962 " " x[1] = -0.5589999999999996 " " y[1] (analytic) = 2.148977622835014 " " y[1] (numeric) = 2.148977622835016 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.26605554438864700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1433706143156501 " " Order of pole = 0.9054923483714195 " " x[1] = -0.5579999999999996 " " y[1] (analytic) = 2.1484682771704344 " " y[1] (numeric) = 2.148468277170436 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.26801521007207800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1428878301277028 " " Order of pole = 0.9055787057974101 " " x[1] = -0.5569999999999996 " " y[1] (analytic) = 2.1479596940706296 " " y[1] (numeric) = 2.1479596940706314 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.26997286915496600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1424057440228261 " " Order of pole = 0.9056657749045947 " " x[1] = -0.5559999999999996 " " y[1] (analytic) = 2.1474518741845294 " " y[1] (numeric) = 2.147451874184531 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.27192851562646400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.141924351877532 " " Order of pole = 0.9057534457167513 " " x[1] = -0.5549999999999996 " " y[1] (analytic) = 2.1469448181610025 " " y[1] (numeric) = 2.146944818161004 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.20541160760415700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1414436495189466 " " Order of pole = 0.9058416070989512 " " x[1] = -0.5539999999999996 " " y[1] (analytic) = 2.146438526648851 " " y[1] (numeric) = 2.1464385266488524 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.20687531000575300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1409636327319257 " " Order of pole = 0.9059301469143737 " " x[1] = -0.5529999999999996 " " y[1] (analytic) = 2.145933000296811 " " y[1] (numeric) = 2.1459330002968127 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.27778331921153600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.140484297264387 " " Order of pole = 0.9060189521417286 " " x[1] = -0.5519999999999996 " " y[1] (analytic) = 2.1454282397535467 " " y[1] (numeric) = 2.145428239753549 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03496635688238340000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1400056388343085 " " Order of pole = 0.9061079090296325 " " x[1] = -0.5509999999999996 " " y[1] (analytic) = 2.1449242456676494 " " y[1] (numeric) = 2.144924245667651 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.28167634818881300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.139527653136229 " " Order of pole = 0.9061969032404118 " " x[1] = -0.5499999999999996 " " y[1] (analytic) = 2.144421018687631 " " y[1] (numeric) = 2.1444210186876327 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.28361979256931100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1390503358476738 " " Order of pole = 0.9062858199922896 " " x[1] = -0.5489999999999996 " " y[1] (analytic) = 2.1439185594619237 " " y[1] (numeric) = 2.143918559461926 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03569514777072320000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1385736826354431 " " Order of pole = 0.906374544198842 " " x[1] = -0.5479999999999996 " " y[1] (analytic) = 2.1434168686388775 " " y[1] (numeric) = 2.1434168686388793 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.28750051094018300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1380976891631436 " " Order of pole = 0.9064629606360288 " " x[1] = -0.5469999999999996 " " y[1] (analytic) = 2.1429159468667534 " " y[1] (numeric) = 2.1429159468667547 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.21707832963841600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1376223510969998 " " Order of pole = 0.906550954071685 " " x[1] = -0.5459999999999996 " " y[1] (analytic) = 2.1424157947937226 " " y[1] (numeric) = 2.142415794793724 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.2185297213908100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1371476641132436 " " Order of pole = 0.9066384094296929 " " x[1] = -0.5449999999999996 " " y[1] (analytic) = 2.1419164130678636 " " y[1] (numeric) = 2.1419164130678654 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.29330607190211100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1366736239045179 " " Order of pole = 0.9067252119330007 " " x[1] = -0.5439999999999996 " " y[1] (analytic) = 2.141417802337159 " " y[1] (numeric) = 2.1414178023371604 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.22142782270765400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1362002261869746 " " Order of pole = 0.906811247261933 " " x[1] = -0.5429999999999996 " " y[1] (analytic) = 2.1409199632494893 " " y[1] (numeric) = 2.140919963249491 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.29716603092483300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1357274667070005 " " Order of pole = 0.9068964017046532 " " x[1] = -0.5419999999999996 " " y[1] (analytic) = 2.140422896452634 " " y[1] (numeric) = 2.1404228964526357 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.29909286778908300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1352553412478703 " " Order of pole = 0.9069805623060123 " " x[1] = -0.5409999999999996 " " y[1] (analytic) = 2.139926602594266 " " y[1] (numeric) = 2.139926602594267 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.15050880073817850000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1347838456368842 " " Order of pole = 0.9070636170276423 " " x[1] = -0.5399999999999996 " " y[1] (analytic) = 2.1394310823219467 " " y[1] (numeric) = 2.1394310823219476 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.15147011296188140000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.134312975751873 " " Order of pole = 0.9071454548939659 " " x[1] = -0.5389999999999996 " " y[1] (analytic) = 2.1389363362831264 " " y[1] (numeric) = 2.1389363362831273 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.152430367532729500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1338427275282517 " " Order of pole = 0.9072259661507402 " " x[1] = -0.5379999999999996 " " y[1] (analytic) = 2.138442365125139 " " y[1] (numeric) = 2.13844236512514 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.15338956141635400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1333730969655305 " " Order of pole = 0.9073050424116857 " " x[1] = -0.5369999999999996 " " y[1] (analytic) = 2.1379491694951986 " " y[1] (numeric) = 2.137949169495199 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.077173845788479000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1329040801340289 " " Order of pole = 0.9073825768098889 " " x[1] = -0.5359999999999996 " " y[1] (analytic) = 2.1374567500403963 " " y[1] (numeric) = 2.1374567500403967 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.07765237748866600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1324356731817489 " " Order of pole = 0.9074584641528727 " " x[1] = -0.5349999999999996 " " y[1] (analytic) = 2.1369651074076965 " " y[1] (numeric) = 2.1369651074076974 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.15626074857887660000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1319678723407365 " " Order of pole = 0.9075326010665972 " " x[1] = -0.5339999999999996 " " y[1] (analytic) = 2.1364742422439362 " " y[1] (numeric) = 2.1364742422439367 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.078607834670809200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.131500673933639 " " Order of pole = 0.9076048861438348 " " x[1] = -0.5329999999999996 " " y[1] (analytic) = 2.135984155195817 " " y[1] (numeric) = 2.1359841551958176 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.07908475711211680000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1310340743801202 " " Order of pole = 0.9076752200897253 " " x[1] = -0.5319999999999996 " " y[1] (analytic) = 2.135494846909906 " " y[1] (numeric) = 2.1354948469099067 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.07956114009203300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1305680702032523 " " Order of pole = 0.907743505866998 " " x[1] = -0.5309999999999996 " " y[1] (analytic) = 2.13500631803263 " " y[1] (numeric) = 2.135006318032631 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.16007396417714400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.130102658035725 " " Order of pole = 0.9078096488371532 " " x[1] = -0.5299999999999996 " " y[1] (analytic) = 2.134518569210274 " " y[1] (numeric) = 2.134518569210275 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.161024563158202700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.129637834625882 " " Order of pole = 0.9078735568981511 " " x[1] = -0.5289999999999996 " " y[1] (analytic) = 2.134031601088975 " " y[1] (numeric) = 2.1340316010889753 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.08098703704035300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.129173596843803 " " Order of pole = 0.9079351406231471 " " x[1] = -0.5279999999999996 " " y[1] (analytic) = 2.13354541431472 " " y[1] (numeric) = 2.133545414314721 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.162922493896863400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1287099416872175 " " Order of pole = 0.9079943133957844 " " x[1] = -0.5269999999999996 " " y[1] (analytic) = 2.133060009533346 " " y[1] (numeric) = 2.133060009533347 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.1638698195576496000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1282468662870413 " " Order of pole = 0.9080509915370545 " " x[1] = -0.5259999999999996 " " y[1] (analytic) = 2.132575387390531 " " y[1] (numeric) = 2.1325753873905318 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.164816048012826600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1277843679132618 " " Order of pole = 0.9081050944402786 " " x[1] = -0.5249999999999996 " " y[1] (analytic) = 2.1320915485317933 " " y[1] (numeric) = 2.1320915485317937 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.082880588105480400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1273224439800456 " " Order of pole = 0.9081565446886533 " " x[1] = -0.5239999999999996 " " y[1] (analytic) = 2.1316084936024877 " " y[1] (numeric) = 2.131608493602488 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.083352600549725800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1268610920512838 " " Order of pole = 0.908205268183039 " " x[1] = -0.5229999999999996 " " y[1] (analytic) = 2.131126223247803 " " y[1] (numeric) = 2.1311262232478034 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.083824059812269800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1264003098452644 " " Order of pole = 0.9082511942500222 " " x[1] = -0.5219999999999996 " " y[1] (analytic) = 2.130644738112757 " " y[1] (numeric) = 2.130644738112758 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.168589928731335500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1259400952402396 " " Order of pole = 0.908294255770274 " " x[1] = -0.5209999999999996 " " y[1] (analytic) = 2.1301640388421945 " " y[1] (numeric) = 2.1301640388421954 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.16953062536383700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1254804462784664 " " Order of pole = 0.908334389273044 " " x[1] = -0.5199999999999996 " " y[1] (analytic) = 2.1296841260807824 " " y[1] (numeric) = 2.1296841260807833 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.170470206464952400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1250213611709878 " " Order of pole = 0.9083715350470261 " " x[1] = -0.5189999999999996 " " y[1] (analytic) = 2.1292050004730076 " " y[1] (numeric) = 2.1292050004730085 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.171408668976517000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1245628383021518 " " Order of pole = 0.9084056372455596 " " x[1] = -0.5179999999999996 " " y[1] (analytic) = 2.1287266626631722 " " y[1] (numeric) = 2.128726662663173 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.17234600983931670000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.124104876233349 " " Order of pole = 0.9084366439747313 " " x[1] = -0.5169999999999996 " " y[1] (analytic) = 2.128249113295391 " " y[1] (numeric) = 2.1282491132953916 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.08664111299655500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1236474737068836 " " Order of pole = 0.9084645073840925 " " x[1] = -0.5159999999999996 " " y[1] (analytic) = 2.127772353013587 " " y[1] (numeric) = 2.127772353013588 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.17421731437664600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1231906296501815 " " Order of pole = 0.9084891837652478 " " x[1] = -0.5149999999999996 " " y[1] (analytic) = 2.1272963824614894 " " y[1] (numeric) = 2.1272963824614903 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.17515127192768560000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.122734343178474 " " Order of pole = 0.9085106336164355 " " x[1] = -0.5139999999999996 " " y[1] (analytic) = 2.1268212022826294 " " y[1] (numeric) = 2.12682120228263 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.088042047791511500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.122278613598356 " " Order of pole = 0.9085288217265433 " " x[1] = -0.5129999999999996 " " y[1] (analytic) = 2.126346813120334 " " y[1] (numeric) = 2.126346813120335 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.177015782278511400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1218234404105658 " " Order of pole = 0.9085437172420416 " " x[1] = -0.5119999999999996 " " y[1] (analytic) = 2.125873215617729 " " y[1] (numeric) = 2.1258732156177294 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.088973164474536600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1213688233125476 " " Order of pole = 0.9085552937286678 " " x[1] = -0.5109999999999996 " " y[1] (analytic) = 2.1254004104177278 " " y[1] (numeric) = 2.1254004104177278 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1209147622014177 " " Order of pole = 0.9085635292425511 " " x[1] = -0.5099999999999996 " " y[1] (analytic) = 2.124928398163032 " " y[1] (numeric) = 2.124928398163032 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1204612571751673 " " Order of pole = 0.9085684063616526 " " x[1] = -0.5089999999999996 " " y[1] (analytic) = 2.1244571794961282 " " y[1] (numeric) = 2.1244571794961287 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.090365549073529600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1200083085353671 " " Order of pole = 0.9085699122510338 " " x[1] = -0.5079999999999996 " " y[1] (analytic) = 2.1239867550592835 " " y[1] (numeric) = 2.123986755059284 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.090828527024724500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1195559167882916 " " Order of pole = 0.9085680386923602 " " x[1] = -0.5069999999999996 " " y[1] (analytic) = 2.123517125494541 " " y[1] (numeric) = 2.1235171254945415 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.091290927294215700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1191040826464191 " " Order of pole = 0.9085627821222939 " " x[1] = -0.5059999999999996 " " y[1] (analytic) = 2.123048291443717 " " y[1] (numeric) = 2.1230482914437174 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.091752748346919500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1186528070290784 " " Order of pole = 0.9085541436512283 " " x[1] = -0.5049999999999996 " " y[1] (analytic) = 2.122580253548398 " " y[1] (numeric) = 2.122580253548398 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1182020910640325 " " Order of pole = 0.908542129103493 " " x[1] = -0.5039999999999996 " " y[1] (analytic) = 2.1221130124499354 " " y[1] (numeric) = 2.1221130124499354 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1177519360869146 " " Order of pole = 0.9085267490087663 " " x[1] = -0.5029999999999996 " " y[1] (analytic) = 2.1216465687894437 " " y[1] (numeric) = 2.121646568789444 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.093134720847725200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1173023436421152 " " Order of pole = 0.9085080186266659 " " x[1] = -0.5019999999999996 " " y[1] (analytic) = 2.1211809232077967 " " y[1] (numeric) = 2.1211809232077967 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1168533154822045 " " Order of pole = 0.90848595793776 " " x[1] = -0.5009999999999996 " " y[1] (analytic) = 2.120716076345621 " " y[1] (numeric) = 2.1207160763456216 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.094053111604213300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1164048535678655 " " Order of pole = 0.9084605916463939 " " x[1] = -0.49999999999999956 " " y[1] (analytic) = 2.1202520288432978 " " y[1] (numeric) = 2.120252028843298 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.094511425098530600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1159569600668684 " " Order of pole = 0.9084319491617148 " " x[1] = -0.49899999999999956 " " y[1] (analytic) = 2.119788781340953 " " y[1] (numeric) = 2.1197887813409535 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.094969148620255700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1155096373530466 " " Order of pole = 0.9084000645786876 " " x[1] = -0.49799999999999955 " " y[1] (analytic) = 2.1193263344784583 " " y[1] (numeric) = 2.1193263344784583 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.115062888005254 " " Order of pole = 0.9083649766585999 " " x[1] = -0.49699999999999955 " " y[1] (analytic) = 2.118864688895424 " " y[1] (numeric) = 2.1188646888954246 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.095882819594151500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1146167148053332 " " Order of pole = 0.9083267287871664 " " x[1] = -0.49599999999999955 " " y[1] (analytic) = 2.118403845231199 " " y[1] (numeric) = 2.1184038452311995 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.096338763969697600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1141711207365672 " " Order of pole = 0.9082853689434334 " " x[1] = -0.49499999999999955 " " y[1] (analytic) = 2.1179438041248644 " " y[1] (numeric) = 2.117943804124865 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.096794112219424700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1137261089809807 " " Order of pole = 0.908240949642666 " " x[1] = -0.49399999999999955 " " y[1] (analytic) = 2.1174845662152295 " " y[1] (numeric) = 2.11748456621523 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.097248862804337600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1132816829174126 " " Order of pole = 0.9081935278964739 " " x[1] = -0.49299999999999955 " " y[1] (analytic) = 2.1170261321408304 " " y[1] (numeric) = 2.117026132140831 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09770301418518600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1128378461181174 " " Order of pole = 0.9081431651396201 " " x[1] = -0.49199999999999955 " " y[1] (analytic) = 2.116568502539924 " " y[1] (numeric) = 2.1165685025399243 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.098156564822479500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1123946023459743 " " Order of pole = 0.9080899271703995 " " x[1] = -0.49099999999999955 " " y[1] (analytic) = 2.1161116780504856 " " y[1] (numeric) = 2.116111678050486 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.098609513176495000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1119519555510522 " " Order of pole = 0.908033884076314 " " x[1] = -0.48999999999999955 " " y[1] (analytic) = 2.115655659310205 " " y[1] (numeric) = 2.1156556593102054 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.099061857707292800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1115099098667216 " " Order of pole = 0.9079751101494651 " " x[1] = -0.48899999999999955 " " y[1] (analytic) = 2.1152004469564814 " " y[1] (numeric) = 2.115200446956482 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09951359687472420000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1110684696058637 " " Order of pole = 0.9079136838038231 " " x[1] = -0.48799999999999955 " " y[1] (analytic) = 2.1147460416264217 " " y[1] (numeric) = 2.114746041626422 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.099964729138444600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.110627639256601 " " Order of pole = 0.9078496874816384 " " x[1] = -0.48699999999999954 " " y[1] (analytic) = 2.114292443956835 " " y[1] (numeric) = 2.1142924439568356 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.100415252957925400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1101874234775662 " " Order of pole = 0.9077832075491514 " " x[1] = -0.48599999999999954 " " y[1] (analytic) = 2.1138396545842304 " " y[1] (numeric) = 2.113839654584231 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10086516679246500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.10974782709331 " " Order of pole = 0.9077143341953331 " " x[1] = -0.48499999999999954 " " y[1] (analytic) = 2.1133876741448105 " " y[1] (numeric) = 2.1133876741448114 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.202628938202403500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1093088550890753 " " Order of pole = 0.9076431613161464 " " x[1] = -0.48399999999999954 " " y[1] (analytic) = 2.1129365032744727 " " y[1] (numeric) = 2.112936503274473 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.101763158343121200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1088705126055258 " " Order of pole = 0.9075697863973478 " " x[1] = -0.48299999999999954 " " y[1] (analytic) = 2.1124861426087977 " " y[1] (numeric) = 2.112486142608798 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.102211232977075400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1084328049331622 " " Order of pole = 0.9074943103903461 " " x[1] = -0.48199999999999954 " " y[1] (analytic) = 2.112036592783053 " " y[1] (numeric) = 2.112036592783054 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.205317382923574600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1079957375063418 " " Order of pole = 0.9074168375785838 " " x[1] = -0.48099999999999954 " " y[1] (analytic) = 2.1115878544321864 " " y[1] (numeric) = 2.1115878544321873 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.206211064511733000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1075593158974535 " " Order of pole = 0.9073374754474415 " " x[1] = -0.47999999999999954 " " y[1] (analytic) = 2.11113992819082 " " y[1] (numeric) = 2.1111399281908207 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.207103507635640600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1071235458103306 " " Order of pole = 0.9072563345365428 " " x[1] = -0.47899999999999954 " " y[1] (analytic) = 2.110692814693249 " " y[1] (numeric) = 2.1106928146932495 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.103997354606065300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1066884330738407 " " Order of pole = 0.9071735282958411 " " x[1] = -0.47799999999999954 " " y[1] (analytic) = 2.1102465145734373 " " y[1] (numeric) = 2.1102465145734377 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.104442333078940200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1062539836351262 " " Order of pole = 0.9070891729336452 " " x[1] = -0.47699999999999954 " " y[1] (analytic) = 2.1098010284650126 " " y[1] (numeric) = 2.109801028465013 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.104886687694716400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1058202035526252 " " Order of pole = 0.907003387259385 " " x[1] = -0.47599999999999953 " " y[1] (analytic) = 2.1093563570012646 " " y[1] (numeric) = 2.109356357001265 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.105330416911609700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1053870989888808 " " Order of pole = 0.9069162925213252 " " x[1] = -0.47499999999999953 " " y[1] (analytic) = 2.108912500815139 " " y[1] (numeric) = 2.108912500815139 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.104954676203172 " " Order of pole = 0.9068280122399948 " " x[1] = -0.47399999999999953 " " y[1] (analytic) = 2.1084694605392333 " " y[1] (numeric) = 2.1084694605392333 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.104522941544024 " " Order of pole = 0.9067386720387258 " " x[1] = -0.47299999999999953 " " y[1] (analytic) = 2.108027236805796 " " y[1] (numeric) = 2.108027236805796 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.104091901441443 " " Order of pole = 0.9066483994675867 " " x[1] = -0.47199999999999953 " " y[1] (analytic) = 2.107585830246719 " " y[1] (numeric) = 2.1075858302467196 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.107099048953448600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1036615623990393 " " Order of pole = 0.9065573238245968 " " x[1] = -0.47099999999999953 " " y[1] (analytic) = 2.1071452414935377 " " y[1] (numeric) = 2.1071452414935377 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.103231930986124 " " Order of pole = 0.9064655759760303 " " x[1] = -0.46999999999999953 " " y[1] (analytic) = 2.1067054711774214 " " y[1] (numeric) = 2.1067054711774214 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1028030138293259 " " Order of pole = 0.9063732881657369 " " x[1] = -0.46899999999999953 " " y[1] (analytic) = 2.1062665199291746 " " y[1] (numeric) = 2.106266519929175 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.108418880745422400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1023748176045323 " " Order of pole = 0.9062805938312852 " " x[1] = -0.4679999999999995 " " y[1] (analytic) = 2.1058283883792317 " " y[1] (numeric) = 2.105828388379232 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.108857551264467200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1019473490283185 " " Order of pole = 0.9061876274085385 " " x[1] = -0.4669999999999995 " " y[1] (analytic) = 2.1053910771576514 " " y[1] (numeric) = 2.1053910771576514 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.101520614849584 " " Order of pole = 0.9060945241404923 " " x[1] = -0.4659999999999995 " " y[1] (analytic) = 2.1049545868941135 " " y[1] (numeric) = 2.1049545868941135 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1010946218407787 " " Order of pole = 0.9060014198766186 " " x[1] = -0.4649999999999995 " " y[1] (analytic) = 2.104518918217915 " " y[1] (numeric) = 2.1045189182179156 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.110169721002616300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1006693767894038 " " Order of pole = 0.9059084508780852 " " x[1] = -0.4639999999999995 " " y[1] (analytic) = 2.104084071757969 " " y[1] (numeric) = 2.104084071757969 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.1002448864891266 " " Order of pole = 0.9058157536141493 " " x[1] = -0.4629999999999995 " " y[1] (analytic) = 2.1036500481427947 " " y[1] (numeric) = 2.103650048142795 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.111041283896655200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.09982115773106 " " Order of pole = 0.9057234645619108 " " x[1] = -0.4619999999999995 " " y[1] (analytic) = 2.103216848000519 " " y[1] (numeric) = 2.103216848000519 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0993981972949138 " " Order of pole = 0.9056317200028658 " " x[1] = -0.4609999999999995 " " y[1] (analytic) = 2.1027844719588678 " " y[1] (numeric) = 2.102784471958868 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.111910258859612500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0989760119400331 " " Order of pole = 0.905540655816738 " " x[1] = -0.4599999999999995 " " y[1] (analytic) = 2.102352920645167 " " y[1] (numeric) = 2.1023529206451674 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.112343772014173600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0985546083966922 " " Order of pole = 0.9054504072809006 " " x[1] = -0.4589999999999995 " " y[1] (analytic) = 2.1019221946863347 " " y[1] (numeric) = 2.101922194686335 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.112776633562942500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0981339933570402 " " Order of pole = 0.9053611088615359 " " x[1] = -0.4579999999999995 " " y[1] (analytic) = 2.101492294708878 " " y[1] (numeric) = 2.1014922947088785 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.113208841965241400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0977141734662461 " " Order of pole = 0.9052728940090891 " " x[1] = -0.4569999999999995 " " y[1] (analytic) = 2.1010632213388907 " " y[1] (numeric) = 2.1010632213388907 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0972951553138053 " " Order of pole = 0.905185894957425 " " x[1] = -0.4559999999999995 " " y[1] (analytic) = 2.1006349752020457 " " y[1] (numeric) = 2.1006349752020457 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0968769454244913 " " Order of pole = 0.9051002425142336 " " x[1] = -0.4549999999999995 " " y[1] (analytic) = 2.1002075569235945 " " y[1] (numeric) = 2.100207556923595 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11450153288929700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0964595502497752 " " Order of pole = 0.9050160658622399 " " x[1] = -0.4539999999999995 " " y[1] (analytic) = 2.099780967128362 " " y[1] (numeric) = 2.0997809671283623 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.114931113302709600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.096042976159084 " " Order of pole = 0.9049334923564825 " " x[1] = -0.4529999999999995 " " y[1] (analytic) = 2.0993552064407415 " " y[1] (numeric) = 2.0993552064407415 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.09562722943116 " " Order of pole = 0.9048526473233984 " " x[1] = -0.4519999999999995 " " y[1] (analytic) = 2.098930275484691 " " y[1] (numeric) = 2.098930275484691 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0952123162455052 " " Order of pole = 0.904773653862021 " " x[1] = -0.4509999999999995 " " y[1] (analytic) = 2.0985061748837297 " " y[1] (numeric) = 2.0985061748837297 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0947982426741123 " " Order of pole = 0.9046966326512944 " " x[1] = -0.4499999999999995 " " y[1] (analytic) = 2.0980829052609336 " " y[1] (numeric) = 2.0980829052609336 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0943850146729983 " " Order of pole = 0.9046217017526974 " " x[1] = -0.4489999999999995 " " y[1] (analytic) = 2.0976604672389314 " " y[1] (numeric) = 2.0976604672389314 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.093972638074156 " " Order of pole = 0.9045489764223404 " " x[1] = -0.4479999999999995 " " y[1] (analytic) = 2.0972388614399007 " " y[1] (numeric) = 2.0972388614399007 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0935611185774576 " " Order of pole = 0.9044785689216326 " " x[1] = -0.4469999999999995 " " y[1] (analytic) = 2.0968180884855623 " " y[1] (numeric) = 2.0968180884855627 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11791958629471920000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0931504617429324 " " Order of pole = 0.9044105883364715 " " x[1] = -0.4459999999999995 " " y[1] (analytic) = 2.0963981489971792 " " y[1] (numeric) = 2.0963981489971792 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.092740672982914 " " Order of pole = 0.9043451403932306 " " x[1] = -0.4449999999999995 " " y[1] (analytic) = 2.0959790435955488 " " y[1] (numeric) = 2.0959790435955488 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.092331757554663 " " Order of pole = 0.9042823272853955 " " x[1] = -0.4439999999999995 " " y[1] (analytic) = 2.095560772901001 " " y[1] (numeric) = 2.095560772901001 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0919237205530388 " " Order of pole = 0.9042222475012469 " " x[1] = -0.4429999999999995 " " y[1] (analytic) = 2.095143337533394 " " y[1] (numeric) = 2.095143337533394 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0915165669034839 " " Order of pole = 0.9041649956586717 " " x[1] = -0.4419999999999995 " " y[1] (analytic) = 2.094726738112109 " " y[1] (numeric) = 2.094726738112109 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0911103013549355 " " Order of pole = 0.9041106623378319 " " x[1] = -0.4409999999999995 " " y[1] (analytic) = 2.0943109752560476 " " y[1] (numeric) = 2.0943109752560476 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0907049284735137 " " Order of pole = 0.9040593339319418 " " x[1] = -0.4399999999999995 " " y[1] (analytic) = 2.093896049583626 " " y[1] (numeric) = 2.093896049583626 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.090300452635949 " " Order of pole = 0.9040110924915847 " " x[1] = -0.4389999999999995 " " y[1] (analytic) = 2.093481961712772 " " y[1] (numeric) = 2.0934819617127722 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.121294656328126500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0898968780234461 " " Order of pole = 0.9039660155791545 " " x[1] = -0.4379999999999995 " " y[1] (analytic) = 2.0930687122609197 " " y[1] (numeric) = 2.09306871226092 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.121713478628994600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.089494208615954 " " Order of pole = 0.9039241761323993 " " x[1] = -0.4369999999999995 " " y[1] (analytic) = 2.092656301845007 " " y[1] (numeric) = 2.0926563018450075 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.12213161549045510000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0890924481865292 " " Order of pole = 0.9038856423301436 " " x[1] = -0.4359999999999995 " " y[1] (analytic) = 2.09224473108147 " " y[1] (numeric) = 2.0922447310814705 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.122549065378768200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0886916002960632 " " Order of pole = 0.903850477466074 " " x[1] = -0.4349999999999995 " " y[1] (analytic) = 2.0918340005862386 " " y[1] (numeric) = 2.091834000586239 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.122965826760661600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0882916682882475 " " Order of pole = 0.9038187398282052 " " x[1] = -0.4339999999999995 " " y[1] (analytic) = 2.0914241109747334 " " y[1] (numeric) = 2.0914241109747334 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0878926552849846 " " Order of pole = 0.9037904825882475 " " x[1] = -0.4329999999999995 " " y[1] (analytic) = 2.09101506286186 " " y[1] (numeric) = 2.0910150628618602 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.12379727787451500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0874945641821532 " " Order of pole = 0.9037657536993677 " " x[1] = -0.4319999999999995 " " y[1] (analytic) = 2.090606856862007 " " y[1] (numeric) = 2.0906068568620073 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.12421196454238600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0870973976452805 " " Order of pole = 0.9037445957914265 " " x[1] = -0.4309999999999995 " " y[1] (analytic) = 2.090199493589039 " " y[1] (numeric) = 2.09019949358904 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.249251913151371000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0867011581061374 " " Order of pole = 0.9037270460877647 " " x[1] = -0.4299999999999995 " " y[1] (analytic) = 2.089792973656296 " " y[1] (numeric) = 2.0897929736562966 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.125039252443678000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0863058477593468 " " Order of pole = 0.9037131363220041 " " x[1] = -0.4289999999999995 " " y[1] (analytic) = 2.089387297676584 " " y[1] (numeric) = 2.089387297676585 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25090370123235140000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0859114685593503 " " Order of pole = 0.9037028926633397 " " x[1] = -0.4279999999999995 " " y[1] (analytic) = 2.088982466262176 " " y[1] (numeric) = 2.088982466262177 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25172749912710400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0855180222177054 " " Order of pole = 0.9036963356491672 " " x[1] = -0.4269999999999995 " " y[1] (analytic) = 2.0885784800248044 " " y[1] (numeric) = 2.0885784800248053 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.252549895513512700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.085125510201132 " " Order of pole = 0.9036934801352903 " " x[1] = -0.4259999999999995 " " y[1] (analytic) = 2.088175339575657 " " y[1] (numeric) = 2.0881753395756584 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3800563310019800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0847339337292996 " " Order of pole = 0.9036943352399778 " " x[1] = -0.4249999999999995 " " y[1] (analytic) = 2.0877730455253753 " " y[1] (numeric) = 2.0877730455253762 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25419047153480500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0843432937734363 " " Order of pole = 0.9036989043069976 " " x[1] = -0.4239999999999995 " " y[1] (analytic) = 2.0873715984840464 " " y[1] (numeric) = 2.0873715984840473 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.255008645059485000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0839535910554075 " " Order of pole = 0.9037071848797531 " " x[1] = -0.4229999999999995 " " y[1] (analytic) = 2.0869709990612018 " " y[1] (numeric) = 2.0869709990612026 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.255825404855464500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.083564826046652 " " Order of pole = 0.9037191686719659 " " x[1] = -0.4219999999999995 " " y[1] (analytic) = 2.0865712478658116 " " y[1] (numeric) = 2.0865712478658125 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25664074787080740000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.083176998968033 " " Order of pole = 0.9037348415596078 " " x[1] = -0.4209999999999995 " " y[1] (analytic) = 2.08617234550628 " " y[1] (numeric) = 2.0861723455062813 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.38618200658233800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0827901097899635 " " Order of pole = 0.9037541835793252 " " x[1] = -0.4199999999999995 " " y[1] (analytic) = 2.0857742925904423 " " y[1] (numeric) = 2.0857742925904437 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.38740075703765900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0824041582325352 " " Order of pole = 0.9037771689270429 " " x[1] = -0.4189999999999995 " " y[1] (analytic) = 2.0853770897255597 " " y[1] (numeric) = 2.085377089725561 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.3886173686003100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0820191437668345 " " Order of pole = 0.9038037659839606 " " x[1] = -0.4179999999999995 " " y[1] (analytic) = 2.084980737518315 " " y[1] (numeric) = 2.084980737518316 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.25988789113368570000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.081635065615782 " " Order of pole = 0.9038339373317967 " " x[1] = -0.4169999999999995 " " y[1] (analytic) = 2.084585236574807 " " y[1] (numeric) = 2.0845852365748083 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.39104415677069700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0812519227559347 " " Order of pole = 0.9038676397904961 " " x[1] = -0.4159999999999995 " " y[1] (analytic) = 2.084190587500549 " " y[1] (numeric) = 2.0841905875005504 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.39225432424536800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0808697139196455 " " Order of pole = 0.9039048244640497 " " x[1] = -0.4149999999999995 " " y[1] (analytic) = 2.0837967909004633 " " y[1] (numeric) = 2.083796790900464 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26230822304088540000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.080488437597332 " " Order of pole = 0.903945436789348 " " x[1] = -0.4139999999999995 " " y[1] (analytic) = 2.083403847378874 " " y[1] (numeric) = 2.083403847378875 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.39466818315762900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0801080920400465 " " Order of pole = 0.9039894165916955 " " x[1] = -0.4129999999999995 " " y[1] (analytic) = 2.083011757539508 " " y[1] (numeric) = 2.083011757539509 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.263914576983751600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0797286752643573 " " Order of pole = 0.9040366981954904 " " x[1] = -0.4119999999999995 " " y[1] (analytic) = 2.0826205219854854 " " y[1] (numeric) = 2.0826205219854863 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26471558463935700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0793501850529619 " " Order of pole = 0.9040872104329054 " " x[1] = -0.4109999999999995 " " y[1] (analytic) = 2.082230141319319 " " y[1] (numeric) = 2.08223014131932 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.2655151420359700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0789726189613624 " " Order of pole = 0.9041408767974719 " " x[1] = -0.4099999999999995 " " y[1] (analytic) = 2.081840616142907 " " y[1] (numeric) = 2.0818406161429084 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.39946986920892600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0785959743215037 " " Order of pole = 0.9041976155244953 " " x[1] = -0.4089999999999995 " " y[1] (analytic) = 2.0814519470575323 " " y[1] (numeric) = 2.0814519470575332 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26710989391664130000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0782202482461716 " " Order of pole = 0.9042573396903286 " " x[1] = -0.4079999999999995 " " y[1] (analytic) = 2.081064134663852 " " y[1] (numeric) = 2.0810641346638534 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.40185762350560600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.07784543763453 " " Order of pole = 0.904319957338144 " " x[1] = -0.4069999999999995 " " y[1] (analytic) = 2.080677179561901 " " y[1] (numeric) = 2.080677179561902 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26869880837130400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.077471539177475 " " Order of pole = 0.9043853715998527 " " x[1] = -0.4059999999999995 " " y[1] (analytic) = 2.08029108235108 " " y[1] (numeric) = 2.080291082351081 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26949106899181530000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0770985493639071 " " Order of pole = 0.9044534808394324 " " x[1] = -0.40499999999999947 " " y[1] (analytic) = 2.079905843630156 " " y[1] (numeric) = 2.0799058436301574 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.40542279175926200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0767264644865817 " " Order of pole = 0.9045241787866747 " " x[1] = -0.40399999999999947 " " y[1] (analytic) = 2.079521463997257 " " y[1] (numeric) = 2.079521463997258 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.40660677283562400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0763552806489232 " " Order of pole = 0.9045973546937454 " " x[1] = -0.40299999999999947 " " y[1] (analytic) = 2.0791379440498647 " " y[1] (numeric) = 2.079137944049866 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.40778854218359500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0759849937720913 " " Order of pole = 0.9046728934977786 " " x[1] = -0.40199999999999947 " " y[1] (analytic) = 2.078755284384815 " " y[1] (numeric) = 2.078755284384816 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.27264539684848900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0756155996020131 " " Order of pole = 0.9047506759829336 " " x[1] = -0.40099999999999947 " " y[1] (analytic) = 2.0783734855982883 " " y[1] (numeric) = 2.078373485598289 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.273430285050287500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Complex estimate of poles used" Radius of convergence = 1.0752470937172307 " " Order of pole = 0.9048305789616364 " " x[1] = -0.39999999999999947 " " y[1] (analytic) = 2.0779925482858093 " " y[1] (numeric) = 2.07799254828581 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.27421368971128870000000000000E-14 "%" h = 1.000E-3 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = arctan ( x ) ;" Iterations = 600 "Total Elapsed Time "= 15 Minutes 3 Seconds "Elapsed Time(since restart) "= 15 Minutes 2 Seconds "Expected Time Remaining "= 2 Hours 15 Minutes 18 Seconds "Optimized Time Remaining "= 2 Hours 15 Minutes 11 Seconds "Time to Timeout " Unknown Percent Done = 10.016666666666675 "%" (%o49) true (%o49) diffeq.max