(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1_a1 : sin(array_x ), 1 1 array_tmp1_a1 1 array_tmp1_a2 : cos(array_x ), array_tmp1 : --------------, 1 1 1 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp2 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1_a1 : att(1, array_tmp1_a2, array_x, 1), 2 array_tmp1_a2 : - att(1, array_tmp1_a1, array_x, 1), 2 array_tmp1_a1 - ats(2, array_tmp1_a2, array_tmp1, 2) 2 array_tmp1 : -----------------------------------------------------, 2 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp2 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1_a1 : att(2, array_tmp1_a2, array_x, 1), 3 array_tmp1_a2 : - att(2, array_tmp1_a1, array_x, 1), 3 array_tmp1_a1 - ats(3, array_tmp1_a2, array_tmp1, 2) 3 array_tmp1 : -----------------------------------------------------, 3 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp2 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1_a1 : att(3, array_tmp1_a2, array_x, 1), 4 array_tmp1_a2 : - att(3, array_tmp1_a1, array_x, 1), 4 array_tmp1_a1 - ats(4, array_tmp1_a2, array_tmp1, 2) 4 array_tmp1 : -----------------------------------------------------, 4 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp2 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1_a1 : att(4, array_tmp1_a2, array_x, 1), 5 array_tmp1_a2 : - att(4, array_tmp1_a1, array_x, 1), 5 array_tmp1_a1 - ats(5, array_tmp1_a2, array_tmp1, 2) 5 array_tmp1 : -----------------------------------------------------, 5 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1_a1 : kkk att(kkk - 1, array_tmp1_a2, array_x, 1), array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_x, 1), kkk array_tmp1_a1 - ats(kkk, array_tmp1_a2, array_tmp1, 2) kkk array_tmp1 : ---------------------------------------------------------, kkk array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1_a1 : sin(array_x ), 1 1 array_tmp1_a1 1 array_tmp1_a2 : cos(array_x ), array_tmp1 : --------------, 1 1 1 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp2 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1_a1 : att(1, array_tmp1_a2, array_x, 1), 2 array_tmp1_a2 : - att(1, array_tmp1_a1, array_x, 1), 2 array_tmp1_a1 - ats(2, array_tmp1_a2, array_tmp1, 2) 2 array_tmp1 : -----------------------------------------------------, 2 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp2 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1_a1 : att(2, array_tmp1_a2, array_x, 1), 3 array_tmp1_a2 : - att(2, array_tmp1_a1, array_x, 1), 3 array_tmp1_a1 - ats(3, array_tmp1_a2, array_tmp1, 2) 3 array_tmp1 : -----------------------------------------------------, 3 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp2 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1_a1 : att(3, array_tmp1_a2, array_x, 1), 4 array_tmp1_a2 : - att(3, array_tmp1_a1, array_x, 1), 4 array_tmp1_a1 - ats(4, array_tmp1_a2, array_tmp1, 2) 4 array_tmp1 : -----------------------------------------------------, 4 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp2 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1_a1 : att(4, array_tmp1_a2, array_x, 1), 5 array_tmp1_a2 : - att(4, array_tmp1_a1, array_x, 1), 5 array_tmp1_a1 - ats(5, array_tmp1_a2, array_tmp1, 2) 5 array_tmp1 : -----------------------------------------------------, 5 array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp2 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1_a1 : kkk att(kkk - 1, array_tmp1_a2, array_x, 1), array_tmp1_a2 : - att(kkk - 1, array_tmp1_a1, array_x, 1), kkk array_tmp1_a1 - ats(kkk, array_tmp1_a2, array_tmp1, 2) kkk array_tmp1 : ---------------------------------------------------------, kkk array_tmp1_a2 1 array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 1, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%o31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) mode_declare(factorial_1, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o39) [factorial_1] (%i40) factorial_1(nnn) := nnn! (%o40) factorial_1(nnn) := nnn! (%i41) mode_declare(factorial_3, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o41) [factorial_3] mmm2! (%i42) factorial_3(mmm2, nnn2) := ----- nnn2! mmm2! (%o42) factorial_3(mmm2, nnn2) := ----- nnn2! (%i43) convfp(mmm) := mmm (%o43) convfp(mmm) := mmm (%i44) convfloat(mmm) := mmm (%o44) convfloat(mmm) := mmm (%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i46) arcsin(x) := asin(x) (%o46) arcsin(x) := asin(x) (%i47) arccos(x) := acos(x) (%o47) arccos(x) := acos(x) (%i48) arctan(x) := atan(x) (%o48) arctan(x) := atan(x) (%i49) exact_soln_y(x) := 2.0 - log(abs(cos(x))) (%o49) exact_soln_y(x) := 2.0 - log(abs(cos(x))) (%i50) mainprog() := (define_variable(glob_max_terms, 30, fixnum), define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(djd_debug, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(sec_in_min, 60.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_clock_start_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_h, 0.1, float), define_variable(glob_initial_pass, true, boolean), define_variable(days_in_year, 365.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_dump, false, boolean), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_clock_sec, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/tanpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = tan ( x ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.0,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - log(abs(cos((x))))"), 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_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_a2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_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_work : 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_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp1_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term array(array_tmp1_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_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, x_start : 0.0, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 10, glob_h : 0.001, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : false, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h term_no -------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, term_no - 1 array_y_init glob_h it array_y_higher : --------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (omniout_str (INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = tan ( 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, "2012-06-16T01:48:39-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "tan"), logitem_str(html_log_file, "diff ( y , x , 1 ) = tan ( x ) ;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "tan diffeq.max"), logitem_str(html_log_file, "tan maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o50) mainprog() := (define_variable(glob_max_terms, 30, fixnum), define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(djd_debug, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(sec_in_min, 60.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_clock_start_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_h, 0.1, float), define_variable(glob_initial_pass, true, boolean), define_variable(days_in_year, 365.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_dump, false, boolean), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_clock_sec, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/tanpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = tan ( x ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.0,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - log(abs(cos((x))))"), 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_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1_a1, 1 + max_terms), array(array_tmp1_a2, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_a2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_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_work : 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_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp1_a2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a2 : 0.0, term : 1 + term), term array(array_tmp1_a1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_a1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_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, x_start : 0.0, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 10, glob_h : 0.001, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : false, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h term_no -------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, term_no - 1 array_y_init glob_h it array_y_higher : --------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (omniout_str (INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = tan ( 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, "2012-06-16T01:48:39-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "tan"), logitem_str(html_log_file, "diff ( y , x , 1 ) = tan ( x ) ;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "tan diffeq.max"), logitem_str(html_log_file, "tan maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i51) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/tanpostode.ode#################" "diff ( y , x , 1 ) = tan ( x ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.0," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.00001 ," "glob_look_poles : true," "glob_max_iter : 10," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 - log(abs(cos((x))))" ");" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.0 " " y[1] (analytic) = 2. " " y[1] (numeric) = 2. " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.000E-3 " " y[1] (analytic) = 2.000000500000083 " " y[1] (numeric) = 2.000000500000083 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.000E-3 " " y[1] (analytic) = 2.0000020000013334 " " y[1] (numeric) = 2.000002000001333 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.22044382880500400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.000E-3 " " y[1] (analytic) = 2.00000450000675 " " y[1] (numeric) = 2.0000045000067495 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220441053250449300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.000E-3 " " y[1] (analytic) = 2.0000080000213334 " " y[1] (numeric) = 2.000008000021333 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220437167477958600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.000E-3 " " y[1] (analytic) = 2.0000125000520836 " " y[1] (numeric) = 2.000012500052083 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.22043217149141710000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.000E-3 " " y[1] (analytic) = 2.000018000108001 " " y[1] (numeric) = 2.0000180001080006 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220426065295821300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.000E-3 " " y[1] (analytic) = 2.000024500200086 " " y[1] (numeric) = 2.0000245002000856 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220418848897276500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.000E-3 " " y[1] (analytic) = 2.000032000341339 " " y[1] (numeric) = 2.000032000341339 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.000000000000001000E-3 " " y[1] (analytic) = 2.000040500546762 " " y[1] (numeric) = 2.0000405005467616 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220401085521315800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.000000000000000200E-2 " " y[1] (analytic) = 2.0000500008333555 " " y[1] (numeric) = 2.0000500008333555 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.100000000000000300E-2 " " y[1] (analytic) = 2.0000605012201227 " " y[1] (numeric) = 2.0000605012201227 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.200000000000000400E-2 " " y[1] (analytic) = 2.0000720017280664 " " y[1] (numeric) = 2.0000720017280664 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.300000000000000600E-2 " " y[1] (analytic) = 2.0000845023801905 " " y[1] (numeric) = 2.0000845023801905 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.400000000000000700E-2 " " y[1] (analytic) = 2.0000980032015008 " " y[1] (numeric) = 2.0000980032015008 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.500000000000000800E-2 " " y[1] (analytic) = 2.000112504219003 " " y[1] (numeric) = 2.000112504219003 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.600000000000001000E-2 " " y[1] (analytic) = 2.0001280054617063 " " y[1] (numeric) = 2.0001280054617063 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.700000000000001000E-2 " " y[1] (analytic) = 2.00014450696062 " " y[1] (numeric) = 2.00014450696062 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.80000000000000100E-2 " " y[1] (analytic) = 2.000162008748756 " " y[1] (numeric) = 2.000162008748756 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.90000000000000100E-2 " " y[1] (analytic) = 2.000180510861129 " " y[1] (numeric) = 2.000180510861129 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.00000000000000120E-2 " " y[1] (analytic) = 2.000200013334756 " " y[1] (numeric) = 2.0002000133347555 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220224012046035600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.10000000000000130E-2 " " y[1] (analytic) = 2.0002205162086564 " " y[1] (numeric) = 2.000220516208656 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220201254068812400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.200000000000001400E-2 " " y[1] (analytic) = 2.0002420195238533 " " y[1] (numeric) = 2.000242019523853 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220177386113384700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.300000000000001500E-2 " " y[1] (analytic) = 2.0002645233233736 " " y[1] (numeric) = 2.000264523323373 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220152408203606200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.400000000000001600E-2 " " y[1] (analytic) = 2.0002880276522474 " " y[1] (numeric) = 2.000288027652247 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220126320364439500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.500000000000001700E-2 " " y[1] (analytic) = 2.0003125325575097 " " y[1] (numeric) = 2.0003125325575093 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.22009912262195400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.600000000000002000E-2 " " y[1] (analytic) = 2.0003380380881994 " " y[1] (numeric) = 2.000338038088199 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220070815003327400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.700000000000002000E-2 " " y[1] (analytic) = 2.0003645442953615 " " y[1] (numeric) = 2.0003645442953606 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.440082795073687600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.800000000000002000E-2 " " y[1] (analytic) = 2.0003920512320446 " " y[1] (numeric) = 2.000392051232044 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.220010870251896000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 2.90000000000000200E-2 " " y[1] (analytic) = 2.000420558953305 " " y[1] (numeric) = 2.0004205589533046 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219979233178980500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.00000000000000200E-2 " " y[1] (analytic) = 2.0004500675162045 " " y[1] (numeric) = 2.000450067516204 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21994648634970400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.10000000000000200E-2 " " y[1] (analytic) = 2.0004805769798115 " " y[1] (numeric) = 2.000480576979811 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219912629796776400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.20000000000000230E-2 " " y[1] (analytic) = 2.000512087405202 " " y[1] (numeric) = 2.0005120874052014 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219877663554015700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.30000000000000240E-2 " " y[1] (analytic) = 2.0005445988554587 " " y[1] (numeric) = 2.0005445988554587 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.40000000000000250E-2 " " y[1] (analytic) = 2.0005781113956744 " " y[1] (numeric) = 2.0005781113956744 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.500000000000002600E-2 " " y[1] (analytic) = 2.000612625092949 " " y[1] (numeric) = 2.000612625092949 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.600000000000002600E-2 " " y[1] (analytic) = 2.000648140016392 " " y[1] (numeric) = 2.000648140016392 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.700000000000003000E-2 " " y[1] (analytic) = 2.0006846562371234 " " y[1] (numeric) = 2.000684656237123 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219686188253690600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.80000000000000300E-2 " " y[1] (analytic) = 2.0007221738282723 " " y[1] (numeric) = 2.0007221738282723 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 3.90000000000000300E-2 " " y[1] (analytic) = 2.0007606928649806 " " y[1] (numeric) = 2.0007606928649806 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.00000000000000300E-2 " " y[1] (analytic) = 2.0008002134244 " " y[1] (numeric) = 2.0008002134244 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.10000000000000300E-2 " " y[1] (analytic) = 2.000840735585695 " " y[1] (numeric) = 2.000840735585695 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.20000000000000300E-2 " " y[1] (analytic) = 2.000882259430044 " " y[1] (numeric) = 2.000882259430044 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.30000000000000300E-2 " " y[1] (analytic) = 2.000924785040637 " " y[1] (numeric) = 2.000924785040637 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.40000000000000340E-2 " " y[1] (analytic) = 2.0009683125026796 " " y[1] (numeric) = 2.0009683125026796 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.50000000000000340E-2 " " y[1] (analytic) = 2.0010128419033917 " " y[1] (numeric) = 2.0010128419033917 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.600000000000003500E-2 " " y[1] (analytic) = 2.0010583733320084 " " y[1] (numeric) = 2.001058373332009 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219271640290030300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.700000000000003600E-2 " " y[1] (analytic) = 2.001104906879782 " " y[1] (numeric) = 2.0011049068797826 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219220033508925700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.800000000000003700E-2 " " y[1] (analytic) = 2.001152442639981 " " y[1] (numeric) = 2.0011524426399814 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219167317729211500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 4.90000000000000400E-2 " " y[1] (analytic) = 2.0012009807078917 " " y[1] (numeric) = 2.001200980707892 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219113493003453400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.00000000000000300E-2 " " y[1] (analytic) = 2.001250521180819 " " y[1] (numeric) = 2.0012505211808196 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219058559385318200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.10000000000000300E-2 " " y[1] (analytic) = 2.0013010641580875 " " y[1] (numeric) = 2.001301064158088 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219002516929571600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.20000000000000400E-2 " " y[1] (analytic) = 2.001352609741041 " " y[1] (numeric) = 2.0013526097410415 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.218945365692076600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.30000000000000400E-2 " " y[1] (analytic) = 2.001405158033045 " " y[1] (numeric) = 2.0014051580330454 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21888710572979500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.40000000000000400E-2 " " y[1] (analytic) = 2.001458709139486 " " y[1] (numeric) = 2.0014587091394866 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21882773710078580000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.50000000000000400E-2 " " y[1] (analytic) = 2.0015132631677743 " " y[1] (numeric) = 2.0015132631677743 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.60000000000000400E-2 " " y[1] (analytic) = 2.0015688202273414 " " y[1] (numeric) = 2.001568820227342 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.218705674080305700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.700000000000004000E-2 " " y[1] (analytic) = 2.0016253804296458 " " y[1] (numeric) = 2.001625380429646 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.218642979810435400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.800000000000004000E-2 " " y[1] (analytic) = 2.001682943888169 " " y[1] (numeric) = 2.0016829438881696 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21857917711703880000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 5.900000000000004000E-2 " " y[1] (analytic) = 2.00174151071842 " " y[1] (numeric) = 2.0017415107184204 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.218514266063654200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.000000000000004000E-2 " " y[1] (analytic) = 2.0018010810379345 " " y[1] (numeric) = 2.0018010810379345 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.10000000000000400E-2 " " y[1] (analytic) = 2.0018616549662753 " " y[1] (numeric) = 2.0018616549662753 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.20000000000000400E-2 " " y[1] (analytic) = 2.0019232326250354 " " y[1] (numeric) = 2.0019232326250354 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.30000000000000400E-2 " " y[1] (analytic) = 2.0019858141378375 " " y[1] (numeric) = 2.001985814137837 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.218243539559301100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.40000000000000500E-2 " " y[1] (analytic) = 2.002049399630334 " " y[1] (numeric) = 2.0020493996303337 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21817308769734100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.50000000000000500E-2 " " y[1] (analytic) = 2.002113989230211 " " y[1] (numeric) = 2.0021139892302107 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21810152787958700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.60000000000000500E-2 " " y[1] (analytic) = 2.002179583067187 " " y[1] (numeric) = 2.002179583067186 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43605772035445200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.70000000000000500E-2 " " y[1] (analytic) = 2.002246181273013 " " y[1] (numeric) = 2.002246181273012 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.435910169325073500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.80000000000000500E-2 " " y[1] (analytic) = 2.002313783981477 " " y[1] (numeric) = 2.002313783981476 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43576040281777100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 6.90000000000000500E-2 " " y[1] (analytic) = 2.002382391328403 " " y[1] (numeric) = 2.002382391328402 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.435608420981458000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.00000000000000500E-2 " " y[1] (analytic) = 2.002452003451651 " " y[1] (numeric) = 2.00245200345165 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43545422396722300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.10000000000000500E-2 " " y[1] (analytic) = 2.0025226204911197 " " y[1] (numeric) = 2.002522620491119 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43529781192833200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.20000000000000500E-2 " " y[1] (analytic) = 2.0025942425887484 " " y[1] (numeric) = 2.0025942425887475 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43513918502022260000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.30000000000000500E-2 " " y[1] (analytic) = 2.002666869888516 " " y[1] (numeric) = 2.002666869888515 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43497834340050900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.40000000000000500E-2 " " y[1] (analytic) = 2.0027405025364433 " " y[1] (numeric) = 2.0027405025364424 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43481528722897200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.50000000000000600E-2 " " y[1] (analytic) = 2.0028151406805943 " " y[1] (numeric) = 2.0028151406805934 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.434650016667566000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.60000000000000600E-2 " " y[1] (analytic) = 2.0028907844710764 " " y[1] (numeric) = 2.002890784471076 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21724126594020800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.70000000000000600E-2 " " y[1] (analytic) = 2.0029674340600443 " " y[1] (numeric) = 2.0029674340600434 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43431283303380830000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.80000000000000600E-2 " " y[1] (analytic) = 2.0030450896016965 " " y[1] (numeric) = 2.003045089601696 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.217070460148100600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 7.90000000000000600E-2 " " y[1] (analytic) = 2.003123751252282 " " y[1] (numeric) = 2.0031237512522813 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43396679383821100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.00000000000000600E-2 " " y[1] (analytic) = 2.003203419170097 " " y[1] (numeric) = 2.0032034191700965 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.216895226916313000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.10000000000000600E-2 " " y[1] (analytic) = 2.003284093515489 " " y[1] (numeric) = 2.0032840935154885 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21680595022719400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.20000000000000600E-2 " " y[1] (analytic) = 2.0033657744508573 " " y[1] (numeric) = 2.0033657744508564 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43343113388060100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.30000000000000600E-2 " " y[1] (analytic) = 2.003448462140653 " " y[1] (numeric) = 2.003448462140652 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43324815429053100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.40000000000000600E-2 " " y[1] (analytic) = 2.0035321567513833 " " y[1] (numeric) = 2.003532156751382 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64959444279839300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.50000000000000600E-2 " " y[1] (analytic) = 2.003616858451609 " " y[1] (numeric) = 2.003616858451608 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43287555678937400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.60000000000000700E-2 " " y[1] (analytic) = 2.00370256741195 " " y[1] (numeric) = 2.003702567411949 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43268593924759300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.70000000000000700E-2 " " y[1] (analytic) = 2.0037892838050837 " " y[1] (numeric) = 2.0037892838050824 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.648741164142200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.80000000000000700E-2 " " y[1] (analytic) = 2.0038770078057464 " " y[1] (numeric) = 2.003877007805745 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64845010128154700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 8.90000000000000700E-2 " " y[1] (analytic) = 2.0039657395907366 " " y[1] (numeric) = 2.0039657395907358 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43210381371846700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.00000000000000700E-2 " " y[1] (analytic) = 2.004055479338916 " " y[1] (numeric) = 2.004055479338915 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.431905348214768600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.10000000000000700E-2 " " y[1] (analytic) = 2.004146227231209 " " y[1] (numeric) = 2.004146227231208 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.4317046712064100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.20000000000000700E-2 " " y[1] (analytic) = 2.004237983450606 " " y[1] (numeric) = 2.004237983450605 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43150178289201200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.30000000000000700E-2 " " y[1] (analytic) = 2.0043307481821655 " " y[1] (numeric) = 2.0043307481821646 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43129668347233400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.40000000000000700E-2 " " y[1] (analytic) = 2.004424521613013 " " y[1] (numeric) = 2.004424521613012 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.431089373150278000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.50000000000000700E-2 " " y[1] (analytic) = 2.0045193039323443 " " y[1] (numeric) = 2.004519303932344 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.21543992606544280000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.60000000000000700E-2 " " y[1] (analytic) = 2.004615095331429 " " y[1] (numeric) = 2.004615095331428 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.430668120621331600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.70000000000000800E-2 " " y[1] (analytic) = 2.004711896003606 " " y[1] (numeric) = 2.004711896003605 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.430454178830930000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.80000000000000800E-2 " " y[1] (analytic) = 2.0048097061442918 " " y[1] (numeric) = 2.004809706144291 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.43023802697112700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 9.90000000000000800E-2 " " y[1] (analytic) = 2.0049085259509782 " " y[1] (numeric) = 2.0049085259509773 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.430019665255501000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10000000000000007 " " y[1] (analytic) = 2.0050083556232354 " " y[1] (numeric) = 2.0050083556232345 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42979909389975830000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10100000000000008 " " y[1] (analytic) = 2.0051091953627123 " " y[1] (numeric) = 2.0051091953627114 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.429576313121735000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000008 " " y[1] (analytic) = 2.0052110453731395 " " y[1] (numeric) = 2.0052110453731387 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.429351323141393300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000008 " " y[1] (analytic) = 2.0053139058603304 " " y[1] (numeric) = 2.0053139058603295 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.429124124180819000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000008 " " y[1] (analytic) = 2.0054177770321826 " " y[1] (numeric) = 2.0054177770321817 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42889471646421900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000008 " " y[1] (analytic) = 2.0055226590986805 " " y[1] (numeric) = 2.005522659098679 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64299465032688200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000008 " " y[1] (analytic) = 2.005628552271895 " " y[1] (numeric) = 2.0056285522718937 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64264391350556300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10700000000000008 " " y[1] (analytic) = 2.0057354567659877 " " y[1] (numeric) = 2.005735456765987 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42819324305214370000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000008 " " y[1] (analytic) = 2.0058433727972123 " " y[1] (numeric) = 2.005843372797211 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64193250389385300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000008 " " y[1] (analytic) = 2.0059523005839135 " " y[1] (numeric) = 2.005952300583912 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64157183180466200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000008 " " y[1] (analytic) = 2.0060622403465325 " " y[1] (numeric) = 2.006062240346531 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64120784866599400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000008 " " y[1] (analytic) = 2.0061731923076063 " " y[1] (numeric) = 2.006173192307605 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64084055483636100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000009 " " y[1] (analytic) = 2.006285156691771 " " y[1] (numeric) = 2.00628515669177 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.64046995067743600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000009 " " y[1] (analytic) = 2.006398133725763 " " y[1] (numeric) = 2.006398133725762 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.426730691036032700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11400000000000009 " " y[1] (analytic) = 2.0065121236384202 " " y[1] (numeric) = 2.0065121236384194 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.42647920855611940000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000009 " " y[1] (analytic) = 2.006627126660685 " " y[1] (numeric) = 2.006627126660684 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.426225519925973700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000009 " " y[1] (analytic) = 2.0067431430256057 " " y[1] (numeric) = 2.006743143025605 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.425969625395113600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000009 " " y[1] (analytic) = 2.006860172968339 " " y[1] (numeric) = 2.0068601729683375 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63856728782272900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000009 " " y[1] (analytic) = 2.0069782167261496 " " y[1] (numeric) = 2.0069782167261483 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63817682945970100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000009 " " y[1] (analytic) = 2.0070972745384155 " " y[1] (numeric) = 2.007097274538414 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63778306338728800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000009 " " y[1] (analytic) = 2.0072173466466277 " " y[1] (numeric) = 2.0072173466466263 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63738598999231700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1210000000000001 " " y[1] (analytic) = 2.007338433294393 " " y[1] (numeric) = 2.0073384332943918 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63698560966475400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1220000000000001 " " y[1] (analytic) = 2.0074605347274357 " " y[1] (numeric) = 2.0074605347274344 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63658192279768700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1230000000000001 " " y[1] (analytic) = 2.0075836511935994 " " y[1] (numeric) = 2.007583651193598 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63617492978733100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1240000000000001 " " y[1] (analytic) = 2.00770778294285 " " y[1] (numeric) = 2.0077077829428482 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.8476861747106890000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000008 " " y[1] (analytic) = 2.007832930227276 " " y[1] (numeric) = 2.0078329302272744 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.84713470258292900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12600000000000008 " " y[1] (analytic) = 2.0079590933010927 " " y[1] (numeric) = 2.0079590933010913 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63493411790543200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12700000000000009 " " y[1] (analytic) = 2.008086272420643 " " y[1] (numeric) = 2.0080862724206416 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63451390434639500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12800000000000009 " " y[1] (analytic) = 2.0082144678443994 " " y[1] (numeric) = 2.0082144678443976 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.84545384889581600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1290000000000001 " " y[1] (analytic) = 2.008343679832966 " " y[1] (numeric) = 2.0083436798329646 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63366356529671600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1300000000000001 " " y[1] (analytic) = 2.008473908649082 " " y[1] (numeric) = 2.008473908649081 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63323344063893400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1310000000000001 " " y[1] (analytic) = 2.008605154557623 " " y[1] (numeric) = 2.0086051545576216 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63280001311959100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1320000000000001 " " y[1] (analytic) = 2.0087374178256017 " " y[1] (numeric) = 2.0087374178256003 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63236328316285300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1330000000000001 " " y[1] (analytic) = 2.008870698722173 " " y[1] (numeric) = 2.0088706987221716 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63192325119597200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1340000000000001 " " y[1] (analytic) = 2.009004997518634 " " y[1] (numeric) = 2.0090049975186326 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63147991764928800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1350000000000001 " " y[1] (analytic) = 2.0091403144884272 " " y[1] (numeric) = 2.0091403144884254 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.84137771060828700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1360000000000001 " " y[1] (analytic) = 2.0092766499071417 " " y[1] (numeric) = 2.00927664990714 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.84077779673766900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1370000000000001 " " y[1] (analytic) = 2.009414004052517 " " y[1] (numeric) = 2.0094140040525157 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.63013011187996300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1380000000000001 " " y[1] (analytic) = 2.009552377204445 " " y[1] (numeric) = 2.0095523772044435 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62967357637898300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1390000000000001 " " y[1] (analytic) = 2.0096917696449705 " " y[1] (numeric) = 2.0096917696449688 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.83895165532801700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1400000000000001 " " y[1] (analytic) = 2.009832181658296 " " y[1] (numeric) = 2.009832181658294 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.83833414357308800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1410000000000001 " " y[1] (analytic) = 2.0099736135307813 " " y[1] (numeric) = 2.00997361353078 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62828417538221100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1420000000000001 " " y[1] (analytic) = 2.01011606555095 " " y[1] (numeric) = 2.0101160655509482 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.83708592674409200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 733.1811127481521 " " Order of pole = 14127.16379344423 " " x[1] = 0.1430000000000001 " " y[1] (analytic) = 2.0102595380094868 " " y[1] (numeric) = 2.0102595380094854 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62734141716531200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 41.25960689242671 " " Order of pole = 771.4615690573368 " " x[1] = 0.1440000000000001 " " y[1] (analytic) = 2.010404031199244 " " y[1] (numeric) = 2.0104040311992426 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62686509216490700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 21.55505566922994 " " Order of pole = 391.12721274156456 " " x[1] = 0.1450000000000001 " " y[1] (analytic) = 2.0105495454152416 " " y[1] (numeric) = 2.0105495454152402 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.6263854705208600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 14.737289782040303 " " Order of pole = 259.53821705910076 " " x[1] = 0.1460000000000001 " " y[1] (analytic) = 2.010696080954671 " " y[1] (numeric) = 2.0106960809546695 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62590255270021800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 11.280848587993084 " " Order of pole = 192.83079511887755 " " x[1] = 0.1470000000000001 " " y[1] (analytic) = 2.0108436381168957 " " y[1] (numeric) = 2.0108436381168944 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62541633917305900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 9.192310137549038 " " Order of pole = 152.52721637474858 " " x[1] = 0.1480000000000001 " " y[1] (analytic) = 2.010992217203457 " " y[1] (numeric) = 2.0109922172034556 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62492683041248800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 7.794338526079512 " " Order of pole = 125.55330534600742 " " x[1] = 0.1490000000000001 " " y[1] (analytic) = 2.0111418185180723 " " y[1] (numeric) = 2.011141818518071 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62443402689463800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 6.793431491608628 " " Order of pole = 106.2437783095908 " " x[1] = 0.1500000000000001 " " y[1] (analytic) = 2.0112924423666416 " " y[1] (numeric) = 2.0112924423666403 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.6239379290986600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 6.041769908968364 " " Order of pole = 91.74537858971856 " " x[1] = 0.1510000000000001 " " y[1] (analytic) = 2.0114440890572474 " " y[1] (numeric) = 2.011444089057246 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62343853750672400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 5.456806601735295 " " Order of pole = 80.46475156293616 " " x[1] = 0.1520000000000001 " " y[1] (analytic) = 2.0115967589001578 " " y[1] (numeric) = 2.0115967589001564 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.6229358526040090000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 4.988820617637321 " " Order of pole = 71.44216588621632 " " x[1] = 0.1530000000000001 " " y[1] (analytic) = 2.0117504522078296 " " y[1] (numeric) = 2.011750452207828 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62242987487870700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 4.606075334275828 " " Order of pole = 64.06503004090288 " " x[1] = 0.1540000000000001 " " y[1] (analytic) = 2.011905169294911 " " y[1] (numeric) = 2.0119051692949097 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62192060482200600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 4.287361427296886 " " Order of pole = 57.92395408548164 " " x[1] = 0.1550000000000001 " " y[1] (analytic) = 2.0120609104782434 " " y[1] (numeric) = 2.012060910478242 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.621408042928100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 4.017966091707573 " " Order of pole = 52.73494614999083 " " x[1] = 0.1560000000000001 " " y[1] (analytic) = 2.0122176760768644 " " y[1] (numeric) = 2.012217676076863 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.62089218969417600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 3.787362534894805 " " Order of pole = 48.29481421906719 " " x[1] = 0.1570000000000001 " " y[1] (analytic) = 2.0123754664120113 " " y[1] (numeric) = 2.0123754664120095 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.82716406082721200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 3.5878200738084547 " " Order of pole = 44.45433773993044 " " x[1] = 0.1580000000000001 " " y[1] (analytic) = 2.0125342818071212 " " y[1] (numeric) = 2.01253428180712 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.61985061120996500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 3.4135335426417432 " " Order of pole = 41.101463144000235 " " x[1] = 0.1590000000000001 " " y[1] (analytic) = 2.012694122587838 " " y[1] (numeric) = 2.012694122587836 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.82576651595864500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 3.2600589122728687 " " Order of pole = 38.150409975492366 " " x[1] = 0.16000000000000011 " " y[1] (analytic) = 2.0128549890820095 " " y[1] (numeric) = 2.012854989082008 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.61879587340659400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 3.12393642578008 " " Order of pole = 35.534396521139875 " " x[1] = 0.16100000000000012 " " y[1] (analytic) = 2.0130168816196963 " " y[1] (numeric) = 2.013016881619695 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.61826357103488500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 3.002432377695693 " " Order of pole = 33.2006555430454 " " x[1] = 0.16200000000000012 " " y[1] (analytic) = 2.013179800533169 " " y[1] (numeric) = 2.013179800533168 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.61772798036892300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.893358133089916 " " Order of pole = 31.10694092187152 " " x[1] = 0.16300000000000012 " " y[1] (analytic) = 2.0133437461569152 " " y[1] (numeric) = 2.013343746156914 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.61718910192673000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.7949407115474107 " " Order of pole = 29.21902962371137 " " x[1] = 0.16400000000000012 " " y[1] (analytic) = 2.0135087188276386 " " y[1] (numeric) = 2.0135087188276377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.411097957486200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.7057285726487015 " " Order of pole = 27.50890313878226 " " x[1] = 0.16500000000000012 " " y[1] (analytic) = 2.0136747188842654 " " y[1] (numeric) = 2.0136747188842645 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.410734322533711400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.6245219166889453 " " Order of pole = 25.95340212185141 " " x[1] = 0.16600000000000012 " " y[1] (analytic) = 2.013841746667944 " " y[1] (numeric) = 2.0138417466679432 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.41036849677828300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.550320367784306 " " Order of pole = 24.533216553622715 " " x[1] = 0.16700000000000012 " " y[1] (analytic) = 2.0140098025220508 " " y[1] (numeric) = 2.01400980252205 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.410000480573137000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.4822831836846424 " " Order of pole = 23.23211769701863 " " x[1] = 0.16800000000000012 " " y[1] (analytic) = 2.0141788867921897 " " y[1] (numeric) = 2.014178886792189 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.409630274273458300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.419698627305669 " " Order of pole = 22.03636689619899 " " x[1] = 0.16900000000000012 " " y[1] (analytic) = 2.014348999826198 " " y[1] (numeric) = 2.014348999826197 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.409257878236388400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.3619601298628052 " " Order of pole = 20.93425546946939 " " x[1] = 0.17000000000000012 " " y[1] (analytic) = 2.014520141974147 " " y[1] (numeric) = 2.0145201419741463 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.408883292821022500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.3085475512551272 " " Order of pole = 19.915742991110257 " " x[1] = 0.17100000000000012 " " y[1] (analytic) = 2.014692313588348 " " y[1] (numeric) = 2.014692313588347 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.408506518388407600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.259012309811653 " " Order of pole = 18.972170261005317 " " x[1] = 0.17200000000000013 " " y[1] (analytic) = 2.014865515023351 " " y[1] (numeric) = 2.01486551502335 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40812755530153500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.2129654803026013 " " Order of pole = 18.09602956876944 " " x[1] = 0.17300000000000013 " " y[1] (analytic) = 2.015039746635951 " " y[1] (numeric) = 2.01503974663595 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.407746403925345600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.1700681912343813 " " Order of pole = 17.280779339467614 " " x[1] = 0.17400000000000013 " " y[1] (analytic) = 2.0152150087851903 " " y[1] (numeric) = 2.0152150087851894 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40736306462671700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.130023819370854 " " Order of pole = 16.520693470031695 " " x[1] = 0.17500000000000013 " " y[1] (analytic) = 2.01539130183236 " " y[1] (numeric) = 2.0153913018323593 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40697753777446740000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.092571600931397 " " Order of pole = 15.810738010877543 " " x[1] = 0.17600000000000013 " " y[1] (analytic) = 2.015568626141005 " " y[1] (numeric) = 2.015568626141004 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40658982373934900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.0574813682941433 " " Order of pole = 15.146469572423257 " " x[1] = 0.17700000000000013 " " y[1] (analytic) = 2.015746982076925 " " y[1] (numeric) = 2.0157469820769243 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40619992289404500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 2.0245491874814006 " " Order of pole = 14.523951118827128 " " x[1] = 0.17800000000000013 " " y[1] (analytic) = 2.015926370008181 " " y[1] (numeric) = 2.01592637000818 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.405807835613167500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.9935937215574169 " " Order of pole = 13.939681773545196 " " x[1] = 0.17900000000000013 " " y[1] (analytic) = 2.016106790305093 " " y[1] (numeric) = 2.016106790305092 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40541356227325200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.9644531828187664 " " Order of pole = 13.390537989974192 " " x[1] = 0.18000000000000013 " " y[1] (analytic) = 2.016288243340249 " " y[1] (numeric) = 2.0162882433402483 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.40501710325275630000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.9369827654842722 " " Order of pole = 12.873723996869678 " " x[1] = 0.18100000000000013 " " y[1] (analytic) = 2.0164707294885034 " " y[1] (numeric) = 2.016470729488503 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.202309229466028500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.9110524727667273 " " Order of pole = 12.386729856262775 " " x[1] = 0.18200000000000013 " " y[1] (analytic) = 2.0166542491269834 " " y[1] (numeric) = 2.016654249126983 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.202108814846721300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.8865452694100153 " " Order of pole = 11.927295803626329 " " x[1] = 0.18300000000000013 " " y[1] (analytic) = 2.0168388026350903 " " y[1] (numeric) = 2.01683880263509 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.201907307960557500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.8633555042046013 " " Order of pole = 11.493381799261286 " " x[1] = 0.18400000000000014 " " y[1] (analytic) = 2.0170243903945035 " " y[1] (numeric) = 2.0170243903945027 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.403409418001183500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.8413875575442857 " " Order of pole = 11.083141423509396 " " x[1] = 0.18500000000000014 " " y[1] (analytic) = 2.0172110127891822 " " y[1] (numeric) = 2.017211012789182 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.201501018160831300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.8205546774391277 " " Order of pole = 10.694899409613619 " " x[1] = 0.18600000000000014 " " y[1] (analytic) = 2.017398670205372 " " y[1] (numeric) = 2.0173986702053717 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.201296235636232300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.8007779740440688 " " Order of pole = 10.327132236305879 " " x[1] = 0.18700000000000014 " " y[1] (analytic) = 2.0175873630316046 " " y[1] (numeric) = 2.017587363031604 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.201090361622701000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.781985548071508 " " Order of pole = 9.978451304667587 " " x[1] = 0.18800000000000014 " " y[1] (analytic) = 2.0177770916587026 " " y[1] (numeric) = 2.017777091658702 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.200883396317090400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.764111732745611 " " Order of pole = 9.647588306614296 " " x[1] = 0.18900000000000014 " " y[1] (analytic) = 2.0179678564797827 " " y[1] (numeric) = 2.0179678564797827 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.7470964324025462 " " Order of pole = 9.333382458871 " " x[1] = 0.19000000000000014 " " y[1] (analytic) = 2.01815965789026 " " y[1] (numeric) = 2.01815965789026 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.730884543661565 " " Order of pole = 9.034769330757612 " " x[1] = 0.19100000000000014 " " y[1] (analytic) = 2.018352496287849 " " y[1] (numeric) = 2.018352496287849 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.7154254473856685 " " Order of pole = 8.750771038378822 " " x[1] = 0.19200000000000014 " " y[1] (analytic) = 2.0185463720725694 " " y[1] (numeric) = 2.0185463720725694 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.7006725615274407 " " Order of pole = 8.48048761403605 " " x[1] = 0.19300000000000014 " " y[1] (analytic) = 2.0187412856467475 " " y[1] (numeric) = 2.0187412856467475 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.6865829465184305 " " Order of pole = 8.223089389852497 " " x[1] = 0.19400000000000014 " " y[1] (analytic) = 2.018937237415021 " " y[1] (numeric) = 2.018937237415021 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.6731169561310564 " " Order of pole = 7.977810259119707 " " x[1] = 0.19500000000000015 " " y[1] (analytic) = 2.019134227784342 " " y[1] (numeric) = 2.019134227784342 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.6602379278159292 " " Order of pole = 7.743941699609210 " " x[1] = 0.19600000000000015 " " y[1] (analytic) = 2.0193322571639793 " " y[1] (numeric) = 2.0193322571639793 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.6479119074013573 " " Order of pole = 7.520827460150137 " " x[1] = 0.19700000000000015 " " y[1] (analytic) = 2.019531325965525 " " y[1] (numeric) = 2.019531325965525 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.6361074037869827 " " Order of pole = 7.307858826159936 " " x[1] = 0.19800000000000015 " " y[1] (analytic) = 2.019731434602894 " " y[1] (numeric) = 2.019731434602894 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.6247951698835663 " " Order of pole = 7.104470391781412 " " x[1] = 0.19900000000000015 " " y[1] (analytic) = 2.01993258349233 " " y[1] (numeric) = 2.01993258349233 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.613948006580487 " " Order of pole = 6.910136276503351 " " x[1] = 0.20000000000000015 " " y[1] (analytic) = 2.0201347730524084 " " y[1] (numeric) = 2.0201347730524084 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.603540586963534 " " Order of pole = 6.724366732653863 " " x[1] = 0.20100000000000015 " " y[1] (analytic) = 2.0203380037040404 " " y[1] (numeric) = 2.0203380037040404 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5935492983817166 " " Order of pole = 6.546705097414687 " " x[1] = 0.20200000000000015 " " y[1] (analytic) = 2.020542275870475 " " y[1] (numeric) = 2.020542275870475 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5839521002826351 " " Order of pole = 6.376725049198953 " " x[1] = 0.20300000000000015 " " y[1] (analytic) = 2.0207475899773057 " " y[1] (numeric) = 2.0207475899773053 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.197648098420100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5747283960096308 " " Order of pole = 6.214028133518077 " " x[1] = 0.20400000000000015 " " y[1] (analytic) = 2.0209539464524693 " " y[1] (numeric) = 2.020953946452469 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.197423699978940400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5658589169826638 " " Order of pole = 6.0582415278747845 " " x[1] = 0.20500000000000015 " " y[1] (analytic) = 2.021161345726254 " " y[1] (numeric) = 2.0211613457262536 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.197198213735332400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.55732561789106 " " Order of pole = 5.90901601920476 " " x[1] = 0.20600000000000016 " " y[1] (analytic) = 2.0213697882313015 " " y[1] (numeric) = 2.021369788231301 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.196971639902863500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5491115816921361 " " Order of pole = 5.766024170585997 " " x[1] = 0.20700000000000016 " " y[1] (analytic) = 2.02157927440261 " " y[1] (numeric) = 2.0215792744026095 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.196743978696031600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5412009333618981 " " Order of pole = 5.628958656876023 " " x[1] = 0.20800000000000016 " " y[1] (analytic) = 2.021789804677539 " " y[1] (numeric) = 2.021789804677538 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.39303046066049100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5335787614686076 " " Order of pole = 5.497530751339635 " " x[1] = 0.20900000000000016 " " y[1] (analytic) = 2.022001379495811 " " y[1] (numeric) = 2.0220013794958103 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.39257079004364400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5262310467543905 " " Order of pole = 5.371468947540546 " " x[1] = 0.21000000000000016 " " y[1] (analytic) = 2.022213999299519 " " y[1] (numeric) = 2.0222139992995185 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.196054472987982700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5191445970020532 " " Order of pole = 5.250517702542737 " " x[1] = 0.21100000000000016 " " y[1] (analytic) = 2.0224276645331267 " " y[1] (numeric) = 2.0224276645331263 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.195822464446854400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5123069875508008 " " Order of pole = 5.134436289139910 " " x[1] = 0.21200000000000016 " " y[1] (analytic) = 2.0226423756434735 " " y[1] (numeric) = 2.022642375643473 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.195589369617465300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.5057065068961186 " " Order of pole = 5.02299774621202 " " x[1] = 0.21300000000000016 " " y[1] (analytic) = 2.0228581330797795 " " y[1] (numeric) = 2.0228581330797786 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.39071037743948570000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4993321068728442 " " Order of pole = 4.915987917538747 " " x[1] = 0.21400000000000016 " " y[1] (analytic) = 2.0230749372936465 " " y[1] (numeric) = 2.023074937293646 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19511992197451500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4931733569756096 " " Order of pole = 4.8132045704638635 " " x[1] = 0.21500000000000016 " " y[1] (analytic) = 2.0232927887390657 " " y[1] (numeric) = 2.0232927887390653 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.194883569603502700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4872204024210653 " " Order of pole = 4.714456586775565 " " x[1] = 0.21600000000000016 " " y[1] (analytic) = 2.023511687872418 " " y[1] (numeric) = 2.0235116878724178 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.194646131829322800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4814639255973896 " " Order of pole = 4.619563218959247 " " x[1] = 0.21700000000000016 " " y[1] (analytic) = 2.0237316351524806 " " y[1] (numeric) = 2.02373163515248 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19440760887548300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.475895110585247 " " Order of pole = 4.528353405726403 " " x[1] = 0.21800000000000017 " " y[1] (analytic) = 2.0239526310404283 " " y[1] (numeric) = 2.023952631040428 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19416800096638200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.470505610467857 " " Order of pole = 4.440665141370072 " " x[1] = 0.21900000000000017 " " y[1] (analytic) = 2.0241746759998405 " " y[1] (numeric) = 2.02417467599984 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193927308327305600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4652875171761663 " " Order of pole = 4.356344894043396 " " x[1] = 0.22000000000000017 " " y[1] (analytic) = 2.0243977704967033 " " y[1] (numeric) = 2.0243977704967024 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.3873710623688494000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.460233333642168 " " Order of pole = 4.275247068580622 " " x[1] = 0.22100000000000017 " " y[1] (analytic) = 2.0246219149994125 " " y[1] (numeric) = 2.024621914999412 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193442669764796600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4553359480559995 " " Order of pole = 4.197233509915893 " " x[1] = 0.22200000000000017 " " y[1] (analytic) = 2.0248471099787806 " " y[1] (numeric) = 2.02484710997878 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.193198724296356600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4505886100428456 " " Order of pole = 4.122173043548585 " " x[1] = 0.22300000000000017 " " y[1] (analytic) = 2.0250733559080385 " " y[1] (numeric) = 2.025073355908038 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.19295369500792200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4459849085935108 " " Order of pole = 4.049941049847927 " " x[1] = 0.22400000000000017 " " y[1] (analytic) = 2.0253006532628404 " " y[1] (numeric) = 2.02530065326284 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.192707582129187500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4415187515997032 " " Order of pole = 3.980419069322423 " " x[1] = 0.22500000000000017 " " y[1] (analytic) = 2.0255290025212673 " " y[1] (numeric) = 2.025529002521267 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.192460385890721600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4371843468583212 " " Order of pole = 3.913494436234 " " x[1] = 0.22600000000000017 " " y[1] (analytic) = 2.0257584041638323 " " y[1] (numeric) = 2.025758404163832 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.192212106523967800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4329761844228555 " " Order of pole = 3.849059938204533 " " x[1] = 0.22700000000000017 " " y[1] (analytic) = 2.0259888586734838 " " y[1] (numeric) = 2.0259888586734833 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.191962744261239700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4288890201906985 " " Order of pole = 3.7870134996679248 " " x[1] = 0.22800000000000017 " " y[1] (analytic) = 2.0262203665356098 " " y[1] (numeric) = 2.0262203665356093 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.191712299335720000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4249178606262574 " " Order of pole = 3.727257887235801 " " x[1] = 0.22900000000000018 " " y[1] (analytic) = 2.0264529282380424 " " y[1] (numeric) = 2.0264529282380415 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.382921543962915400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4210579485284527 " " Order of pole = 3.669700435212185 " " x[1] = 0.23000000000000018 " " y[1] (analytic) = 2.026686544271061 " " y[1] (numeric) = 2.02668654427106 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.38241632486673800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.417304749759477 " " Order of pole = 3.614252789652518 " " x[1] = 0.23100000000000018 " " y[1] (analytic) = 2.0269212151273983 " " y[1] (numeric) = 2.0269212151273974 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.38190894185445900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4136539408602482 " " Order of pole = 3.5608306695287233 " " x[1] = 0.23200000000000018 " " y[1] (analytic) = 2.027156941302244 " " y[1] (numeric) = 2.027156941302243 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.381399395399352400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4101013974817969 " " Order of pole = 3.509353643632373 " " x[1] = 0.23300000000000018 " " y[1] (analytic) = 2.027393723293247 " " y[1] (numeric) = 2.027393723293246 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.38088768597641070000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4066431835726365 " " Order of pole = 3.4597449220621783 " " x[1] = 0.23400000000000018 " " y[1] (analytic) = 2.0276315616005234 " " y[1] (numeric) = 2.0276315616005225 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.380373814062334400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.4032755412624116 " " Order of pole = 3.411931161140277 " " x[1] = 0.23500000000000018 " " y[1] (analytic) = 2.0278704567266574 " " y[1] (numeric) = 2.0278704567266566 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.379857780135535400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3999948813905636 " " Order of pole = 3.3658422807696233 " " x[1] = 0.23600000000000018 " " y[1] (analytic) = 2.028110409176708 " " y[1] (numeric) = 2.028110409176707 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.37933958467612600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3967977746323774 " " Order of pole = 3.321411293313176 " " x[1] = 0.23700000000000018 " " y[1] (analytic) = 2.028351419458212 " " y[1] (numeric) = 2.028351419458211 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.37881922816591830000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3936809431777697 " " Order of pole = 3.2785741431324027 " " x[1] = 0.23800000000000018 " " y[1] (analytic) = 2.0285934880811887 " " y[1] (numeric) = 2.0285934880811882 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.189148355544209300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3906412529237622 " " Order of pole = 3.237269556032931 " " x[1] = 0.23900000000000018 " " y[1] (analytic) = 2.028836615558146 " " y[1] (numeric) = 2.028836615558145 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.37777203392882230000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3876757061421623 " " Order of pole = 3.1974388978725585 " " x[1] = 0.24000000000000019 " " y[1] (analytic) = 2.029080802404081 " " y[1] (numeric) = 2.0290808024040805 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.188622598587005600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.384781434590182 " " Order of pole = 3.159026041711037 " " x[1] = 0.2410000000000002 " " y[1] (analytic) = 2.0293260491364893 " " y[1] (numeric) = 2.029326049136489 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18835810065627300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3819556930318015 " " Order of pole = 3.1219772428789057 " " x[1] = 0.2420000000000002 " " y[1] (analytic) = 2.0295723562753656 " " y[1] (numeric) = 2.029572356275365 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.188092523417332600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3791958531424147 " " Order of pole = 3.0862410214371856 " " x[1] = 0.2430000000000002 " " y[1] (analytic) = 2.0298197243432106 " " y[1] (numeric) = 2.02981972434321 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.187825867116138500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3764993977680586 " " Order of pole = 3.051768051470713 " " x[1] = 0.2440000000000002 " " y[1] (analytic) = 2.030068153865034 " " y[1] (numeric) = 2.0300681538650336 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.187558131999479700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3738639155184995 " " Order of pole = 3.0185110568202482 " " x[1] = 0.2450000000000002 " " y[1] (analytic) = 2.0303176453683602 " " y[1] (numeric) = 2.03031764536836 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18728931831497500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3712870956680927 " " Order of pole = 2.986424712745066 " " x[1] = 0.2460000000000002 " " y[1] (analytic) = 2.0305681993832327 " " y[1] (numeric) = 2.0305681993832323 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18701942631107300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.368766723346464 " " Order of pole = 2.955465553173255 " " x[1] = 0.2470000000000002 " " y[1] (analytic) = 2.030819816442218 " " y[1] (numeric) = 2.0308198164422175 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.186748456237048400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3663006749983277 " " Order of pole = 2.9255918831386296 " " x[1] = 0.2480000000000002 " " y[1] (analytic) = 2.031072497080411 " " y[1] (numeric) = 2.0310724970804106 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.186476408343000200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3638869140954697 " " Order of pole = 2.896763696077649 " " x[1] = 0.2490000000000002 " " y[1] (analytic) = 2.0313262418354396 " " y[1] (numeric) = 2.031326241835439 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1862032828798500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3615234870846273 " " Order of pole = 2.8689425956728805 " " x[1] = 0.25000000000000017 " " y[1] (analytic) = 2.0315810512474695 " " y[1] (numeric) = 2.031581051247469 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.185929080099337800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3592085195553298 " " Order of pole = 2.84209172193399 " " x[1] = 0.25100000000000017 " " y[1] (analytic) = 2.0318369258592086 " " y[1] (numeric) = 2.031836925859208 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.185653800254020700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3569402126149934 " " Order of pole = 2.8161756812736627 " " x[1] = 0.25200000000000017 " " y[1] (analytic) = 2.0320938662159116 " " y[1] (numeric) = 2.032093866215911 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.185377443597272300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3547168394570008 " " Order of pole = 2.791160480300782 " " x[1] = 0.25300000000000017 " " y[1] (analytic) = 2.032351872865385 " " y[1] (numeric) = 2.0323518728653847 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.185100010383277400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3525367421102394 " " Order of pole = 2.767013463109812 " " x[1] = 0.25400000000000017 " " y[1] (analytic) = 2.032610946357993 " " y[1] (numeric) = 2.0326109463579924 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18482150086703100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.350398328359173 " " Order of pole = 2.743703251855795 " " x[1] = 0.25500000000000017 " " y[1] (analytic) = 2.0328710872466598 " " y[1] (numeric) = 2.0328710872466598 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3483000688239688 " " Order of pole = 2.721199690413119 " " x[1] = 0.25600000000000017 " " y[1] (analytic) = 2.033132296086878 " " y[1] (numeric) = 2.033132296086878 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3462404941896586 " " Order of pole = 2.6994737909030597 " " x[1] = 0.2570000000000002 " " y[1] (analytic) = 2.0333945734367096 " " y[1] (numeric) = 2.0333945734367096 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.344218192577957 " " Order of pole = 2.6784976829717166 " " x[1] = 0.2580000000000002 " " y[1] (analytic) = 2.033657919856794 " " y[1] (numeric) = 2.033657919856794 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3422318070507473 " " Order of pole = 2.658244565601933 " " x[1] = 0.2590000000000002 " " y[1] (analytic) = 2.0339223359103515 " " y[1] (numeric) = 2.0339223359103515 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.340280033238734 " " Order of pole = 2.638688661336257 " " x[1] = 0.2600000000000002 " " y[1] (analytic) = 2.0341878221631884 " " y[1] (numeric) = 2.0341878221631884 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3383616170881765 " " Order of pole = 2.619805172774619 " " x[1] = 0.2610000000000002 " " y[1] (analytic) = 2.0344543791837024 " " y[1] (numeric) = 2.0344543791837024 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3364753527181361 " " Order of pole = 2.6015702411995356 " " x[1] = 0.2620000000000002 " " y[1] (analytic) = 2.034722007542887 " " y[1] (numeric) = 2.034722007542887 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.334620080382036 " " Order of pole = 2.5839609072096152 " " x[1] = 0.2630000000000002 " " y[1] (analytic) = 2.0349907078143374 " " y[1] (numeric) = 2.0349907078143374 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3327946845282885 " " Order of pole = 2.5669550732615036 " " x[1] = 0.2640000000000002 " " y[1] (analytic) = 2.035260480574255 " " y[1] (numeric) = 2.035260480574255 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3309980919534632 " " Order of pole = 2.5505314679927515 " " x[1] = 0.2650000000000002 " " y[1] (analytic) = 2.0355313264014527 " " y[1] (numeric) = 2.0355313264014527 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3292292700437596 " " Order of pole = 2.5346696122455405 " " x[1] = 0.2660000000000002 " " y[1] (analytic) = 2.03580324587736 " " y[1] (numeric) = 2.03580324587736 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3274872250989955 " " Order of pole = 2.519349786678287 " " x[1] = 0.2670000000000002 " " y[1] (analytic) = 2.036076239586027 " " y[1] (numeric) = 2.036076239586027 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3257710007357206 " " Order of pole = 2.5045530009017654 " " x[1] = 0.2680000000000002 " " y[1] (analytic) = 2.036350308114133 " " y[1] (numeric) = 2.036350308114133 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.324079676363472 " " Order of pole = 2.490260964021367 " " x[1] = 0.2690000000000002 " " y[1] (analytic) = 2.036625452050987 " " y[1] (numeric) = 2.0366254520509877 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.180514877700471800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3224123657325724 " " Order of pole = 2.476456056559016 " " x[1] = 0.2700000000000002 " " y[1] (analytic) = 2.036901671988538 " " y[1] (numeric) = 2.0369016719885384 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18021918267914100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.320768215547326 " " Order of pole = 2.463121303632157 " " x[1] = 0.2710000000000002 " " y[1] (analytic) = 2.037178968521375 " " y[1] (numeric) = 2.0371789685213755 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17992241581205480000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3191464041424443 " " Order of pole = 2.4502403493503877 " " x[1] = 0.2720000000000002 " " y[1] (analytic) = 2.037457342246737 " " y[1] (numeric) = 2.037457342246737 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.317546140219527 " " Order of pole = 2.437797432368818 " " x[1] = 0.2730000000000002 " " y[1] (analytic) = 2.0377367937645148 " " y[1] (numeric) = 2.0377367937645148 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3159666616396615 " " Order of pole = 2.425777362521174 " " x[1] = 0.2740000000000002 " " y[1] (analytic) = 2.038017323677259 " " y[1] (numeric) = 2.0380173236772587 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17902568683164300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3144072342695494 " " Order of pole = 2.4141654984826957 " " x[1] = 0.2750000000000002 " " y[1] (analytic) = 2.0382989325901835 " " y[1] (numeric) = 2.0382989325901835 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.312867150879269 " " Order of pole = 2.4029477264288133 " " x[1] = 0.2760000000000002 " " y[1] (analytic) = 2.038581621111172 " " y[1] (numeric) = 2.038581621111172 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3113457300875135 " " Order of pole = 2.3921104396058794 " " x[1] = 0.2770000000000002 " " y[1] (analytic) = 2.0388653898507836 " " y[1] (numeric) = 2.038865389850783 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.178119320974710200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3098423153530465 " " Order of pole = 2.3816405187923166 " " x[1] = 0.2780000000000002 " " y[1] (analytic) = 2.0391502394222565 " " y[1] (numeric) = 2.039150239422256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.177815058766265600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3083562740101529 " " Order of pole = 2.371525313607634 " " x[1] = 0.2790000000000002 " " y[1] (analytic) = 2.0394361704415154 " " y[1] (numeric) = 2.039436170441515 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.177509726886535700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3068869963445613 " " Order of pole = 2.361752624598502 " " x[1] = 0.2800000000000002 " " y[1] (analytic) = 2.039723183527177 " " y[1] (numeric) = 2.0397231835271765 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17720332561070620000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3054338947101778 " " Order of pole = 2.3523106861134337 " " x[1] = 0.2810000000000002 " " y[1] (analytic) = 2.0400112793005536 " " y[1] (numeric) = 2.0400112793005536 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.303996402681838 " " Order of pole = 2.3431881498680625 " " x[1] = 0.2820000000000002 " " y[1] (analytic) = 2.0403004583856617 " " y[1] (numeric) = 2.0403004583856617 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3025739742448805 " " Order of pole = 2.3343740692215356 " " x[1] = 0.2830000000000002 " " y[1] (analytic) = 2.0405907214092247 " " y[1] (numeric) = 2.0405907214092243 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17627770816960410000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.3011660830179637 " " Order of pole = 2.3258578840917643 " " x[1] = 0.2840000000000002 " " y[1] (analytic) = 2.0408820690006797 " " y[1] (numeric) = 2.0408820690006793 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.175967032076044600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2997722215089151 " " Order of pole = 2.3176294065080647 " " x[1] = 0.2850000000000002 " " y[1] (analytic) = 2.041174501792184 " " y[1] (numeric) = 2.0411745017921836 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.175655287973395400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2983919004007456 " " Order of pole = 2.309678806743438 " " x[1] = 0.2860000000000002 " " y[1] (analytic) = 2.04146802041862 " " y[1] (numeric) = 2.0414680204186197 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.175342476141254600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2970246478674246 " " Order of pole = 2.301996600020786 " " x[1] = 0.2870000000000002 " " y[1] (analytic) = 2.0417626255176007 " " y[1] (numeric) = 2.0417626255176002 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17502859685994600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2956700089176199 " " Order of pole = 2.294573633757814 " " x[1] = 0.2880000000000002 " " y[1] (analytic) = 2.0420583177294755 " " y[1] (numeric) = 2.042058317729475 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.174713650410516600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2943275447653146 " " Order of pole = 2.287401075329914 " " x[1] = 0.2890000000000002 " " y[1] (analytic) = 2.042355097697336 " " y[1] (numeric) = 2.042355097697336 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2929968322254701 " " Order of pole = 2.2804704003147585 " " x[1] = 0.2900000000000002 " " y[1] (analytic) = 2.042652966067024 " " y[1] (numeric) = 2.042652966067024 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2916774631347112 " " Order of pole = 2.2737733812204475 " " x[1] = 0.2910000000000002 " " y[1] (analytic) = 2.042951923487133 " " y[1] (numeric) = 2.042951923487133 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2903690437945234 " " Order of pole = 2.2673020766459864 " " x[1] = 0.2920000000000002 " " y[1] (analytic) = 2.0432519706090178 " " y[1] (numeric) = 2.0432519706090173 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.173443198577687300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2890711944373656 " " Order of pole = 2.2610488208850796 " " x[1] = 0.2930000000000002 " " y[1] (analytic) = 2.0435531080867984 " " y[1] (numeric) = 2.043553108086798 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.173122920528475200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2877835487132652 " " Order of pole = 2.255006213923018 " " x[1] = 0.2940000000000002 " " y[1] (analytic) = 2.043855336577367 " " y[1] (numeric) = 2.0438553365773666 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.172801577012455600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2865057531974866 " " Order of pole = 2.24916711184191 " " x[1] = 0.2950000000000002 " " y[1] (analytic) = 2.044158656740394 " " y[1] (numeric) = 2.0441586567403935 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.172479168315659000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2852374669170052 " " Order of pole = 2.2435246175871413 " " x[1] = 0.2960000000000002 " " y[1] (analytic) = 2.044463069238333 " " y[1] (numeric) = 2.0444630692383328 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.172155694724818600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2839783608955946 " " Order of pole = 2.238072072093022 " " x[1] = 0.2970000000000002 " " y[1] (analytic) = 2.044768574736428 " " y[1] (numeric) = 2.0447685747364277 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.171831156527363700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2827281177166567 " " Order of pole = 2.2328030457509023 " " x[1] = 0.2980000000000002 " " y[1] (analytic) = 2.045075173902718 " " y[1] (numeric) = 2.0450751739027178 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.171505554011421700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2814864311036822 " " Order of pole = 2.2277113302188774 " " x[1] = 0.2990000000000002 " " y[1] (analytic) = 2.045382867408045 " " y[1] (numeric) = 2.0453828674080445 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.171178887465809200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.280253005515394 " " Order of pole = 2.222790930511369 " " x[1] = 0.3000000000000002 " " y[1] (analytic) = 2.045691655926058 " " y[1] (numeric) = 2.0456916559260576 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.170851157180035400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2790275557585247 " " Order of pole = 2.218036057433906 " " x[1] = 0.3010000000000002 " " y[1] (analytic) = 2.0460015401332217 " " y[1] (numeric) = 2.046001540133221 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.17052236344429400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2778098066135186 " " Order of pole = 2.213441120263056 " " x[1] = 0.3020000000000002 " " y[1] (analytic) = 2.04631252070882 " " y[1] (numeric) = 2.0463125207088195 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.170192506549464300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2765994924755966 " " Order of pole = 2.209000719725431 " " x[1] = 0.3030000000000002 " " y[1] (analytic) = 2.0466245983349642 " " y[1] (numeric) = 2.046624598334964 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.169861586787104600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2753963570096558 " " Order of pole = 2.2047096412445057 " " x[1] = 0.3040000000000002 " " y[1] (analytic) = 2.046937773696598 " " y[1] (numeric) = 2.0469377736965977 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.169529604449454000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2742001528172386 " " Order of pole = 2.200562848418251 " " x[1] = 0.3050000000000002 " " y[1] (analytic) = 2.047252047481505 " " y[1] (numeric) = 2.0472520474815044 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.169196559829424700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2730106411170736 " " Order of pole = 2.1965554767614357 " " x[1] = 0.3060000000000002 " " y[1] (analytic) = 2.0475674203803136 " " y[1] (numeric) = 2.0475674203803127 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.337724906441204000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2718275914372181 " " Order of pole = 2.192682827671309 " " x[1] = 0.3070000000000002 " " y[1] (analytic) = 2.047883893086504 " " y[1] (numeric) = 2.047883893086503 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.33705456983448200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2706507813187204 " " Order of pole = 2.1889403626158916 " " x[1] = 0.3080000000000002 " " y[1] (analytic) = 2.0482014662964154 " " y[1] (numeric) = 2.0482014662964145 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.336382110428526600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2694799960303815 " " Order of pole = 2.1853236975371857 " " x[1] = 0.3090000000000002 " " y[1] (analytic) = 2.0485201407092513 " " y[1] (numeric) = 2.0485201407092504 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.335707528814506400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2683150282943219 " " Order of pole = 2.1818285974638556 " " x[1] = 0.3100000000000002 " " y[1] (analytic) = 2.048839917027086 " " y[1] (numeric) = 2.048839917027085 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.335030825584912400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2671556780216087 " " Order of pole = 2.178450971318309 " " x[1] = 0.3110000000000002 " " y[1] (analytic) = 2.0491607959548714 " " y[1] (numeric) = 2.0491607959548706 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.33435200133355240000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2660017520576519 " " Order of pole = 2.175186866913002 " " x[1] = 0.3120000000000002 " " y[1] (analytic) = 2.049482778200444 " " y[1] (numeric) = 2.049482778200443 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.333671056655541400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2648530639369941 " " Order of pole = 2.1720324661285595 " " x[1] = 0.3130000000000002 " " y[1] (analytic) = 2.04980586447453 " " y[1] (numeric) = 2.049805864474529 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.33298799214729900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2637094336472725 " " Order of pole = 2.1689840802701603 " " x[1] = 0.3140000000000002 " " y[1] (analytic) = 2.0501300554907536 " " y[1] (numeric) = 2.0501300554907527 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.332302808406542400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2625706874016656 " " Order of pole = 2.1660381455877697 " " x[1] = 0.3150000000000002 " " y[1] (analytic) = 2.050455351965642 " " y[1] (numeric) = 2.0504553519656414 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.165807753016140400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2614366574197093 " " Order of pole = 2.1631912189589677 " " x[1] = 0.3160000000000002 " " y[1] (analytic) = 2.0507817546186335 " " y[1] (numeric) = 2.050781754618633 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.165463042812403600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2603071817164972 " " Order of pole = 2.160439973735219 " " x[1] = 0.3170000000000002 " " y[1] (analytic) = 2.0511092641720836 " " y[1] (numeric) = 2.051109264172083 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.165117273892847600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2591821038986912 " " Order of pole = 2.1577811957182007 " " x[1] = 0.3180000000000002 " " y[1] (analytic) = 2.0514378813512706 " " y[1] (numeric) = 2.05143788135127 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.164770446558896300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2580612729688816 " " Order of pole = 2.155211779300643 " " x[1] = 0.31900000000000023 " " y[1] (analytic) = 2.051767606884404 " " y[1] (numeric) = 2.0517676068844035 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16442256111260700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2569445431365076 " " Order of pole = 2.152728723733137 " " x[1] = 0.32000000000000023 " " y[1] (analytic) = 2.0520984415026304 " " y[1] (numeric) = 2.05209844150263 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.164073617856667500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.255831773635883 " " Order of pole = 2.1503291295298332 " " x[1] = 0.32100000000000023 " " y[1] (analytic) = 2.0524303859400406 " " y[1] (numeric) = 2.05243038594004 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.163723617094393300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2547228285502297 " " Order of pole = 2.1480101949893786 " " x[1] = 0.32200000000000023 " " y[1] (analytic) = 2.0527634409336764 " " y[1] (numeric) = 2.052763440933676 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.163372559129724300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.253617576643078 " " Order of pole = 2.1457692128617687 " " x[1] = 0.32300000000000023 " " y[1] (analytic) = 2.053097607223537 " " y[1] (numeric) = 2.0530976072235365 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.163020444267222400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.252515891194503 " " Order of pole = 2.1436035671063216 " " x[1] = 0.32400000000000023 " " y[1] (analytic) = 2.0534328855525867 " " y[1] (numeric) = 2.0534328855525863 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16266727281206720000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2514176498443847 " " Order of pole = 2.141510729789065 " " x[1] = 0.32500000000000023 " " y[1] (analytic) = 2.053769276666761 " " y[1] (numeric) = 2.0537692766667606 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16231304507005400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2503227344402172 " " Order of pole = 2.1394882580662227 " " x[1] = 0.32600000000000023 " " y[1] (analytic) = 2.054106781314975 " " y[1] (numeric) = 2.054106781314974 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.323915522695179000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2492310308913643 " " Order of pole = 2.1375337912957626 " " x[1] = 0.32700000000000023 " " y[1] (analytic) = 2.0544454002491275 " " y[1] (numeric) = 2.0544454002491266 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.32320284390338300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2481424290275915 " " Order of pole = 2.135645048229989 " " x[1] = 0.32800000000000024 " " y[1] (analytic) = 2.054785134224112 " " y[1] (numeric) = 2.0547851342241112 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.32248805437996260000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2470568224632632 " " Order of pole = 2.1338198243202235 " " x[1] = 0.32900000000000024 " " y[1] (analytic) = 2.055125983997821 " " y[1] (numeric) = 2.05512598399782 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.32177115474136800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2459741084662346 " " Order of pole = 2.132055989112768 " " x[1] = 0.33000000000000024 " " y[1] (analytic) = 2.0554679503311526 " " y[1] (numeric) = 2.055467950331152 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.16052607280262500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2448941878309991 " " Order of pole = 2.130351483726887 " " x[1] = 0.33100000000000024 " " y[1] (analytic) = 2.0558110339880216 " " y[1] (numeric) = 2.055811033988021 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.160165513795224100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2438169647569357 " " Order of pole = 2.128704318434014 " " x[1] = 0.33200000000000024 " " y[1] (analytic) = 2.0561552357353614 " " y[1] (numeric) = 2.056155235735361 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.159803900658497600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2427423467303809 " " Order of pole = 2.127112570310377 " " x[1] = 0.33300000000000024 " " y[1] (analytic) = 2.056500556343135 " " y[1] (numeric) = 2.0565005563431344 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15944123370304900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2416702444110634 " " Order of pole = 2.1255743809755607 " " x[1] = 0.33400000000000024 " " y[1] (analytic) = 2.056846996584341 " " y[1] (numeric) = 2.0568469965843406 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.159077513240070200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2406005715226645 " " Order of pole = 2.124087954411973 " " x[1] = 0.33500000000000024 " " y[1] (analytic) = 2.0571945572350208 " " y[1] (numeric) = 2.0571945572350203 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.158712739581336600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2395332447467724 " " Order of pole = 2.1226515548495257 " " x[1] = 0.33600000000000024 " " y[1] (analytic) = 2.057543239074266 " " y[1] (numeric) = 2.0575432390742656 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.158346913039203600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2384681836211258 " " Order of pole = 2.1212635047359747 " " x[1] = 0.33700000000000024 " " y[1] (analytic) = 2.057893042884226 " " y[1] (numeric) = 2.0578930428842255 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15798003392660500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2374053104410532 " " Order of pole = 2.1199221827685797 " " x[1] = 0.33800000000000024 " " y[1] (analytic) = 2.0582439694501145 " " y[1] (numeric) = 2.0582439694501145 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2363445501645245 " " Order of pole = 2.1186260219972723 " " x[1] = 0.33900000000000025 " " y[1] (analytic) = 2.0585960195602193 " " y[1] (numeric) = 2.0585960195602193 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.235285830320407 " " Order of pole = 2.1173735079901768 " " x[1] = 0.34000000000000025 " " y[1] (analytic) = 2.058949194005907 " " y[1] (numeric) = 2.0589491940059066 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.156873084303937100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.234229080920018 " " Order of pole = 2.116163177064088 " " x[1] = 0.34100000000000025 " " y[1] (analytic) = 2.059303493581631 " " y[1] (numeric) = 2.059303493581631 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2331742343717627 " " Order of pole = 2.11499361457566 " " x[1] = 0.34200000000000025 " " y[1] (analytic) = 2.0596589190849413 " " y[1] (numeric) = 2.0596589190849413 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.23212122539886 " " Order of pole = 2.1138634532733143 " " x[1] = 0.34300000000000025 " " y[1] (analytic) = 2.0600154713164893 " " y[1] (numeric) = 2.0600154713164893 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.231069990959431 " " Order of pole = 2.112771371694439 " " x[1] = 0.34400000000000025 " " y[1] (analytic) = 2.0603731510800367 " " y[1] (numeric) = 2.0603731510800367 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2300204701701942 " " Order of pole = 2.111716092635671 " " x[1] = 0.34500000000000025 " " y[1] (analytic) = 2.0607319591824638 " " y[1] (numeric) = 2.0607319591824638 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2289726042319944 " " Order of pole = 2.1106963816570286 " " x[1] = 0.34600000000000025 " " y[1] (analytic) = 2.0610918964337754 " " y[1] (numeric) = 2.0610918964337754 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2279263363584318 " " Order of pole = 2.1097110456485417 " " x[1] = 0.34700000000000025 " " y[1] (analytic) = 2.0614529636471106 " " y[1] (numeric) = 2.0614529636471106 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.226881611706947 " " Order of pole = 2.108758931445198 " " x[1] = 0.34800000000000025 " " y[1] (analytic) = 2.061815161638749 " " y[1] (numeric) = 2.061815161638749 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2258383773118442 " " Order of pole = 2.107838924478795 " " x[1] = 0.34900000000000025 " " y[1] (analytic) = 2.0621784912281185 " " y[1] (numeric) = 2.0621784912281185 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.224796582020216 " " Order of pole = 2.1069499474887543 " " x[1] = 0.35000000000000026 " " y[1] (analytic) = 2.062542953237805 " " y[1] (numeric) = 2.062542953237805 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2237561764297702 " " Order of pole = 2.1060909592694763 " " x[1] = 0.35100000000000026 " " y[1] (analytic) = 2.0629085484935574 " " y[1] (numeric) = 2.0629085484935574 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2227171128286927 " " Order of pole = 2.105260953457737 " " x[1] = 0.35200000000000026 " " y[1] (analytic) = 2.063275277824299 " " y[1] (numeric) = 2.0632752778242986 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.15235075330495800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2216793451379713 " " Order of pole = 2.1044589573696193 " " x[1] = 0.35300000000000026 " " y[1] (analytic) = 2.0636431420621317 " " y[1] (numeric) = 2.0636431420621313 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.151967076082246800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2206428288554534 " " Order of pole = 2.1036840308711504 " " x[1] = 0.35400000000000026 " " y[1] (analytic) = 2.064012142042347 " " y[1] (numeric) = 2.0640121420423467 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.151582351694088200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2196075210016537 " " Order of pole = 2.102935265282998 " " x[1] = 0.35500000000000026 " " y[1] (analytic) = 2.0643822786034325 " " y[1] (numeric) = 2.0643822786034325 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2185733800679501 " " Order of pole = 2.1022117823339244 " " x[1] = 0.35600000000000026 " " y[1] (analytic) = 2.0647535525870806 " " y[1] (numeric) = 2.0647535525870806 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.217540365965949 " " Order of pole = 2.101512733135692 " " x[1] = 0.35700000000000026 " " y[1] (analytic) = 2.065125964838196 " " y[1] (numeric) = 2.065125964838196 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2165084399792163 " " Order of pole = 2.1008372972065708 " " x[1] = 0.35800000000000026 " " y[1] (analytic) = 2.0654995162049046 " " y[1] (numeric) = 2.0654995162049046 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2154775647161213 " " Order of pole = 2.100184681515451 " " x[1] = 0.35900000000000026 " " y[1] (analytic) = 2.0658742075385614 " " y[1] (numeric) = 2.0658742075385614 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2144477040647506 " " Order of pole = 2.099554119568232 " " x[1] = 0.36000000000000026 " " y[1] (analytic) = 2.066250039693758 " " y[1] (numeric) = 2.066250039693758 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2134188231487724 " " Order of pole = 2.0989448705114846 " " x[1] = 0.36100000000000027 " " y[1] (analytic) = 2.066627013528333 " " y[1] (numeric) = 2.066627013528333 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2123908882857461 " " Order of pole = 2.098356218287279 " " x[1] = 0.36200000000000027 " " y[1] (analytic) = 2.0670051299033774 " " y[1] (numeric) = 2.0670051299033774 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2113638669458828 " " Order of pole = 2.0977874707941915 " " x[1] = 0.36300000000000027 " " y[1] (analytic) = 2.067384389683245 " " y[1] (numeric) = 2.067384389683245 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.210337727712734 " " Order of pole = 2.0972379590881935 " " x[1] = 0.36400000000000027 " " y[1] (analytic) = 2.06776479373556 " " y[1] (numeric) = 2.06776479373556 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2093124402454847 " " Order of pole = 2.0967070366162375 " " x[1] = 0.36500000000000027 " " y[1] (analytic) = 2.068146342931226 " " y[1] (numeric) = 2.068146342931226 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2082879752415638 " " Order of pole = 2.096194078453287 " " x[1] = 0.36600000000000027 " " y[1] (analytic) = 2.068529038144435 " " y[1] (numeric) = 2.0685290381444346 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.14688409812429300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2072643044018758 " " Order of pole = 2.0956984805955265 " " x[1] = 0.36700000000000027 " " y[1] (analytic) = 2.0689128802526726 " " y[1] (numeric) = 2.0689128802526726 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2062414003961233 " " Order of pole = 2.0952196592522583 " " x[1] = 0.36800000000000027 " " y[1] (analytic) = 2.0692978701367317 " " y[1] (numeric) = 2.0692978701367317 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.205219236829672 " " Order of pole = 2.0947570501695125 " " x[1] = 0.36900000000000027 " " y[1] (analytic) = 2.069684008680717 " " y[1] (numeric) = 2.069684008680717 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2041977882118657 " " Order of pole = 2.0943101079836524 " " x[1] = 0.3700000000000003 " " y[1] (analytic) = 2.0700712967720554 " " y[1] (numeric) = 2.0700712967720554 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2031770299249 " " Order of pole = 2.0938783055845533 " " x[1] = 0.3710000000000003 " " y[1] (analytic) = 2.0704597353015037 " " y[1] (numeric) = 2.070459735301504 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1448821354905198000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.2021569381943171 " " Order of pole = 2.0934611335129034 " " x[1] = 0.3720000000000003 " " y[1] (analytic) = 2.07084932516316 " " y[1] (numeric) = 2.07084932516316 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.201137490059771 " " Order of pole = 2.093058099360711 " " x[1] = 0.3730000000000003 " " y[1] (analytic) = 2.0712400672544677 " " y[1] (numeric) = 2.0712400672544677 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.200118663347569 " " Order of pole = 2.092668727209677 " " x[1] = 0.3740000000000003 " " y[1] (analytic) = 2.071631962476229 " " y[1] (numeric) = 2.0716319624762294 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.143668459909458300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1991004366437985 " " Order of pole = 2.092292557080352 " " x[1] = 0.3750000000000003 " " y[1] (analytic) = 2.0720250117326118 " " y[1] (numeric) = 2.072025011732612 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.14326182037116700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1980827892683275 " " Order of pole = 2.091929144398531 " " x[1] = 0.3760000000000003 " " y[1] (analytic) = 2.072419215931158 " " y[1] (numeric) = 2.0724192159311583 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.14285414088157380000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.197065701249481 " " Order of pole = 2.0915780594747595 " " x[1] = 0.3770000000000003 " " y[1] (analytic) = 2.0728145759827927 " " y[1] (numeric) = 2.072814575982793 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.142445421773940500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1960491533003004 " " Order of pole = 2.091238887017706 " " x[1] = 0.3780000000000003 " " y[1] (analytic) = 2.0732110928018344 " " y[1] (numeric) = 2.0732110928018352 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.2840713267639300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1950331267949925 " " Order of pole = 2.0909112256494566 " " x[1] = 0.3790000000000003 " " y[1] (analytic) = 2.0736087673060037 " " y[1] (numeric) = 2.073608767306004 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.141624866039776600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1940176037462018 " " Order of pole = 2.090594687437502 " " x[1] = 0.3800000000000003 " " y[1] (analytic) = 2.07400760041643 " " y[1] (numeric) = 2.0740076004164307 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.282426060163870000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.193002566783406 " " Order of pole = 2.090288897450371 " " x[1] = 0.3810000000000003 " " y[1] (analytic) = 2.074407593057664 " " y[1] (numeric) = 2.074407593057665 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.281600311686844500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1919879991316804 " " Order of pole = 2.0899934933195503 " " x[1] = 0.3820000000000003 " " y[1] (analytic) = 2.074808746157686 " " y[1] (numeric) = 2.0748087461576863 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.140386243659644400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1909738845915747 " " Order of pole = 2.0897081248250586 " " x[1] = 0.3830000000000003 " " y[1] (analytic) = 2.0752110606479115 " " y[1] (numeric) = 2.075211060647912 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.139971293866424500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1899602075192584 " " Order of pole = 2.0894324534851023 " " x[1] = 0.3840000000000003 " " y[1] (analytic) = 2.0756145374632067 " " y[1] (numeric) = 2.075614537463207 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.139555306799997600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1889469528077088 " " Order of pole = 2.089166152168044 " " x[1] = 0.3850000000000003 " " y[1] (analytic) = 2.0760191775418924 " " y[1] (numeric) = 2.0760191775418932 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.27827656559402140000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1879341058681974 " " Order of pole = 2.088908904709079 " " x[1] = 0.3860000000000003 " " y[1] (analytic) = 2.0764249818257565 " " y[1] (numeric) = 2.0764249818257574 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.27744044438903200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1869216526128037 " " Order of pole = 2.088660405549277 " " x[1] = 0.3870000000000003 " " y[1] (analytic) = 2.0768319512600626 " " y[1] (numeric) = 2.076831951260063 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.138301125329968300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1859095794370518 " " Order of pole = 2.0884203593753234 " " x[1] = 0.3880000000000003 " " y[1] (analytic) = 2.077240086793557 " " y[1] (numeric) = 2.077240086793558 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.275761985082446300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1848978732036963 " " Order of pole = 2.088188480784389 " " x[1] = 0.3890000000000003 " " y[1] (analytic) = 2.0776493893784833 " " y[1] (numeric) = 2.077649389378484 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.27491964833305540000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1838865212264689 " " Order of pole = 2.087964493946412 " " x[1] = 0.3900000000000003 " " y[1] (analytic) = 2.078059859970587 " " y[1] (numeric) = 2.0780598599705877 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.274075241089045000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.182875511254849 " " Order of pole = 2.0877481322885743 " " x[1] = 0.3910000000000003 " " y[1] (analytic) = 2.0784714995291274 " " y[1] (numeric) = 2.0784714995291282 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.273228764028469400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.181864831459124 " " Order of pole = 2.087539138184873 " " x[1] = 0.3920000000000003 " " y[1] (analytic) = 2.078884309016887 " " y[1] (numeric) = 2.078884309016888 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.272380217830151000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1808544704161004 " " Order of pole = 2.0873372626594353 " " x[1] = 0.3930000000000003 " " y[1] (analytic) = 2.0792982894001817 " " y[1] (numeric) = 2.0792982894001826 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.271529603173671600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1798444170948967 " " Order of pole = 2.0871422650902574 " " x[1] = 0.3940000000000003 " " y[1] (analytic) = 2.079713441648868 " " y[1] (numeric) = 2.079713441648869 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.270676920739363600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1788346608440323 " " Order of pole = 2.0869539129416914 " " x[1] = 0.3950000000000003 " " y[1] (analytic) = 2.0801297667363565 " " y[1] (numeric) = 2.0801297667363574 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26982217120830400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1778251913780144 " " Order of pole = 2.0867719814839596 " " x[1] = 0.3960000000000003 " " y[1] (analytic) = 2.080547265639618 " " y[1] (numeric) = 2.0805472656396193 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.4034480328934600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1768159987650055 " " Order of pole = 2.0865962535365057 " " x[1] = 0.3970000000000003 " " y[1] (analytic) = 2.080965939339197 " " y[1] (numeric) = 2.080965939339198 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.268106473583911400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1758070734148303 " " Order of pole = 2.086426519218051 " " x[1] = 0.3980000000000003 " " y[1] (analytic) = 2.081385788819218 " " y[1] (numeric) = 2.081385788819219 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.26724552685638300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.174798406067071 " " Order of pole = 2.0862625756974573 " " x[1] = 0.3990000000000003 " " y[1] (analytic) = 2.0818068150673983 " " y[1] (numeric) = 2.0818068150673987 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.133191257881847400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.173789987779981 " " Order of pole = 2.086104226962558 " " x[1] = 0.4000000000000003 " " y[1] (analytic) = 2.0822290190750556 " " y[1] (numeric) = 2.082229019075056 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.13275872049526500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.172781809919486 " " Order of pole = 2.085951283589935 " " x[1] = 0.4010000000000003 " " y[1] (analytic) = 2.082652401837121 " " y[1] (numeric) = 2.0826524018371213 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.132325151611131600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1717738641486417 " " Order of pole = 2.0858035625242266 " " x[1] = 0.4020000000000003 " " y[1] (analytic) = 2.0830769643521454 " " y[1] (numeric) = 2.083076964352146 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.131890551572481800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1707661424175566 " " Order of pole = 2.0856608868672524 " " x[1] = 0.4030000000000003 " " y[1] (analytic) = 2.0835027076223134 " " y[1] (numeric) = 2.083502707622314 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.13145492072268900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1697586369534534 " " Order of pole = 2.0855230856695 " " x[1] = 0.4040000000000003 " " y[1] (analytic) = 2.0839296326534504 " " y[1] (numeric) = 2.083929632653451 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.13101825940546500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1687513402514251 " " Order of pole = 2.0853899937367153 " " x[1] = 0.4050000000000003 " " y[1] (analytic) = 2.084357740455035 " " y[1] (numeric) = 2.0843577404550353 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.13058056796485320000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1677442450648805 " " Order of pole = 2.0852614514284085 " " x[1] = 0.4060000000000003 " " y[1] (analytic) = 2.0847870320402078 " " y[1] (numeric) = 2.0847870320402078 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1667373443970235 " " Order of pole = 2.0851373044796055 " " x[1] = 0.4070000000000003 " " y[1] (analytic) = 2.085217508425782 " " y[1] (numeric) = 2.0852175084257825 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.129702096091280700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1657306314921687 " " Order of pole = 2.0850174038179716 " " x[1] = 0.4080000000000003 " " y[1] (analytic) = 2.0856491706322555 " " y[1] (numeric) = 2.085649170632256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.129261316348036200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.164724099827504 " " Order of pole = 2.08490160539041 " " x[1] = 0.4090000000000003 " " y[1] (analytic) = 2.0860820196838183 " " y[1] (numeric) = 2.086082019683819 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.12881950786082690000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1637177431051209 " " Order of pole = 2.0847897699953926 " " x[1] = 0.4100000000000003 " " y[1] (analytic) = 2.086516056608366 " " y[1] (numeric) = 2.0865160566083665 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.128376670975300800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1627115552443015 " " Order of pole = 2.0846817631201837 " " x[1] = 0.4110000000000003 " " y[1] (analytic) = 2.0869512824375085 " " y[1] (numeric) = 2.0869512824375085 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.161705530374157 " " Order of pole = 2.0845774547859612 " " x[1] = 0.4120000000000003 " " y[1] (analytic) = 2.08738769820658 " " y[1] (numeric) = 2.08738769820658 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.160699662826151 " " Order of pole = 2.0844767193890483 " " x[1] = 0.4130000000000003 " " y[1] (analytic) = 2.0878253049546527 " " y[1] (numeric) = 2.0878253049546527 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1596939471275511 " " Order of pole = 2.0843794355637577 " " x[1] = 0.4140000000000003 " " y[1] (analytic) = 2.0882641037245437 " " y[1] (numeric) = 2.0882641037245437 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1586883779945814 " " Order of pole = 2.0842854860371034 " " x[1] = 0.4150000000000003 " " y[1] (analytic) = 2.088704095562828 " " y[1] (numeric) = 2.088704095562828 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1576829503256993 " " Order of pole = 2.0841947574859745 " " x[1] = 0.4160000000000003 " " y[1] (analytic) = 2.08914528151985 " " y[1] (numeric) = 2.08914528151985 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1566776591957366 " " Order of pole = 2.0841071404140834 " " x[1] = 0.4170000000000003 " " y[1] (analytic) = 2.0895876626497314 " " y[1] (numeric) = 2.0895876626497314 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1556724998495682 " " Order of pole = 2.0840225290170196 " " x[1] = 0.4180000000000003 " " y[1] (analytic) = 2.0900312400103846 " " y[1] (numeric) = 2.0900312400103846 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1546674676963735 " " Order of pole = 2.0839408210607395 " " x[1] = 0.4190000000000003 " " y[1] (analytic) = 2.0904760146635235 " " y[1] (numeric) = 2.0904760146635235 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1536625583039823 " " Order of pole = 2.08386191776156 " " x[1] = 0.4200000000000003 " " y[1] (analytic) = 2.0909219876746725 " " y[1] (numeric) = 2.0909219876746725 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1526577673935277 " " Order of pole = 2.0837857236727544 " " x[1] = 0.4210000000000003 " " y[1] (analytic) = 2.0913691601131803 " " y[1] (numeric) = 2.0913691601131803 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1516530908340412 " " Order of pole = 2.0837121465693578 " " x[1] = 0.4220000000000003 " " y[1] (analytic) = 2.091817533052229 " " y[1] (numeric) = 2.091817533052229 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1506485246374005 " " Order of pole = 2.0836410973405677 " " x[1] = 0.4230000000000003 " " y[1] (analytic) = 2.0922671075688455 " " y[1] (numeric) = 2.0922671075688455 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1496440649534896 " " Order of pole = 2.083572489886979 " " x[1] = 0.4240000000000003 " " y[1] (analytic) = 2.092717884743914 " " y[1] (numeric) = 2.092717884743914 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1486397080654542 " " Order of pole = 2.0835062410193927 " " x[1] = 0.4250000000000003 " " y[1] (analytic) = 2.0931698656621864 " " y[1] (numeric) = 2.0931698656621864 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.147635450384994 " " Order of pole = 2.0834422703580664 " " x[1] = 0.4260000000000003 " " y[1] (analytic) = 2.0936230514122927 " " y[1] (numeric) = 2.0936230514122927 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.146631288448199 " " Order of pole = 2.0833805002444485 " " x[1] = 0.4270000000000003 " " y[1] (analytic) = 2.094077443086754 " " y[1] (numeric) = 2.094077443086754 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1456272189109868 " " Order of pole = 2.083320855643027 " " x[1] = 0.4280000000000003 " " y[1] (analytic) = 2.0945330417819927 " " y[1] (numeric) = 2.0945330417819927 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.144623238545164 " " Order of pole = 2.0832632640575177 " " x[1] = 0.4290000000000003 " " y[1] (analytic) = 2.094989848598346 " " y[1] (numeric) = 2.094989848598346 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.143619344234405 " " Order of pole = 2.083207655444724 " " x[1] = 0.4300000000000003 " " y[1] (analytic) = 2.0954478646400734 " " y[1] (numeric) = 2.0954478646400734 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1426155329703342 " " Order of pole = 2.0831539621304707 " " x[1] = 0.4310000000000003 " " y[1] (analytic) = 2.0959070910153734 " " y[1] (numeric) = 2.0959070910153734 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1416118018489827 " " Order of pole = 2.083102118734054 " " x[1] = 0.43200000000000033 " " y[1] (analytic) = 2.0963675288363905 " " y[1] (numeric) = 2.096367528836391 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.118374777997819300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1406081480669743 " " Order of pole = 2.0830520620859083 " " x[1] = 0.43300000000000033 " " y[1] (analytic) = 2.0968291792192315 " " y[1] (numeric) = 2.0968291792192315 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1396045689182182 " " Order of pole = 2.083003731156939 " " x[1] = 0.43400000000000033 " " y[1] (analytic) = 2.097292043283972 " " y[1] (numeric) = 2.0972920432839723 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11744096999815500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1386010617905566 " " Order of pole = 2.0829570669865127 " " x[1] = 0.43500000000000033 " " y[1] (analytic) = 2.097756122154673 " " y[1] (numeric) = 2.0977561221546734 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.116972536320972700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1375976241623902 " " Order of pole = 2.082912012609519 " " x[1] = 0.43600000000000033 " " y[1] (analytic) = 2.09822141695939 " " y[1] (numeric) = 2.0982214169593907 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.23300616665717500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1365942535997413 " " Order of pole = 2.082868512993649 " " x[1] = 0.43700000000000033 " " y[1] (analytic) = 2.098687928830186 " " y[1] (numeric) = 2.0986879288301865 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.116032611373521700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.135590947753133 " " Order of pole = 2.0828265149718668 " " x[1] = 0.43800000000000033 " " y[1] (analytic) = 2.099155658903143 " " y[1] (numeric) = 2.0991556589031437 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.23112224161698860000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1345877043546218 " " Order of pole = 2.08278596717831 " " x[1] = 0.43900000000000033 " " y[1] (analytic) = 2.0996246083183747 " " y[1] (numeric) = 2.099624608318375 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.115088611986412600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1335845212152176 " " Order of pole = 2.0827468199932966 " " x[1] = 0.44000000000000034 " " y[1] (analytic) = 2.1000947782200377 " " y[1] (numeric) = 2.100094778220038 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.114615085260371500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1325813962218247 " " Order of pole = 2.0827090254762695 " " x[1] = 0.44100000000000034 " " y[1] (analytic) = 2.1005661697563447 " " y[1] (numeric) = 2.100566169756345 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.114140540983647200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1315783273349658 " " Order of pole = 2.082672537317592 " " x[1] = 0.44200000000000034 " " y[1] (analytic) = 2.1010387840795754 " " y[1] (numeric) = 2.101038784079576 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11366497950969300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.130575312585958 " " Order of pole = 2.082637310776672 " " x[1] = 0.44300000000000034 " " y[1] (analytic) = 2.1015126223460907 " " y[1] (numeric) = 2.101512622346091 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11318840119213500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1295723500746593 " " Order of pole = 2.082603302633732 " " x[1] = 0.44400000000000034 " " y[1] (analytic) = 2.1019876857163435 " " y[1] (numeric) = 2.101987685716344 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.11271080638476700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.128569437967055 " " Order of pole = 2.082570471137352 " " x[1] = 0.44500000000000034 " " y[1] (analytic) = 2.1024639753548913 " " y[1] (numeric) = 2.1024639753548917 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.112232195441547700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1275665744929275 " " Order of pole = 2.082538775953825 " " x[1] = 0.44600000000000034 " " y[1] (analytic) = 2.102941492430409 " " y[1] (numeric) = 2.1029414924304093 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.111752568716595300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1265637579437044 " " Order of pole = 2.082508178120605 " " x[1] = 0.44700000000000034 " " y[1] (analytic) = 2.1034202381157017 " " y[1] (numeric) = 2.1034202381157017 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.125560986670236 " " Order of pole = 2.0824786399977917 " " x[1] = 0.44800000000000034 " " y[1] (analytic) = 2.1039002135877163 " " y[1] (numeric) = 2.1039002135877163 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1245582590809695 " " Order of pole = 2.0824501252290233 " " x[1] = 0.44900000000000034 " " y[1] (analytic) = 2.104381420027556 " " y[1] (numeric) = 2.104381420027556 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.123555573639653 " " Order of pole = 2.0824225986907727 " " x[1] = 0.45000000000000034 " " y[1] (analytic) = 2.10486385862049 " " y[1] (numeric) = 2.10486385862049 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1225529288637037 " " Order of pole = 2.082396026457509 " " x[1] = 0.45100000000000035 " " y[1] (analytic) = 2.105347530555971 " " y[1] (numeric) = 2.1053475305559703 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10933921077053500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1215503233221167 " " Order of pole = 2.08237037575552 " " x[1] = 0.45200000000000035 " " y[1] (analytic) = 2.105832437027641 " " y[1] (numeric) = 2.105832437027641 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1205477556339039 " " Order of pole = 2.0823456149294834 " " x[1] = 0.45300000000000035 " " y[1] (analytic) = 2.1063185792333528 " " y[1] (numeric) = 2.1063185792333528 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1195452244661201 " " Order of pole = 2.0823217133986986 " " x[1] = 0.45400000000000035 " " y[1] (analytic) = 2.106805958375175 " " y[1] (numeric) = 2.106805958375175 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1185427285324867 " " Order of pole = 2.082298641627794 " " x[1] = 0.45500000000000035 " " y[1] (analytic) = 2.1072945756594104 " " y[1] (numeric) = 2.1072945756594104 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1175402665914782 " " Order of pole = 2.08227637108412 " " x[1] = 0.45600000000000035 " " y[1] (analytic) = 2.1077844322966066 " " y[1] (numeric) = 2.1077844322966066 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1165378374450066 " " Order of pole = 2.082254874209564 " " x[1] = 0.45700000000000035 " " y[1] (analytic) = 2.10827552950157 " " y[1] (numeric) = 2.10827552950157 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1155354399368023 " " Order of pole = 2.082234124384815 " " x[1] = 0.45800000000000035 " " y[1] (analytic) = 2.1087678684933784 " " y[1] (numeric) = 2.108767868493379 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.105917946138589300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.114533072951047 " " Order of pole = 2.0822140958995696 " " x[1] = 0.45900000000000035 " " y[1] (analytic) = 2.1092614504953953 " " y[1] (numeric) = 2.1092614504953957 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10542514654008800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.113530735410787 " " Order of pole = 2.082194763917286 " " x[1] = 0.46000000000000035 " " y[1] (analytic) = 2.109756276735282 " " y[1] (numeric) = 2.1097562767352827 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.104931336131694300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.112528426276881 " " Order of pole = 2.0821761044527953 " " x[1] = 0.46100000000000035 " " y[1] (analytic) = 2.1102523484450124 " " y[1] (numeric) = 2.110252348445013 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.1044365152693700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1115261445463491 " " Order of pole = 2.082158094335224 " " x[1] = 0.46200000000000035 " " y[1] (analytic) = 2.110749666860884 " " y[1] (numeric) = 2.110749666860885 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.20788136861832600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1105238892514806 " " Order of pole = 2.0821407111892434 " " x[1] = 0.46300000000000036 " " y[1] (analytic) = 2.111248233223536 " " y[1] (numeric) = 2.1112482332235363 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.103443843607201000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1095216594582942 " " Order of pole = 2.0821239334004282 " " x[1] = 0.46400000000000036 " " y[1] (analytic) = 2.1117480487779567 " " y[1] (numeric) = 2.111748048777957 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.102945993519689500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1085194542654846 " " Order of pole = 2.0821077400922228 " " x[1] = 0.46500000000000036 " " y[1] (analytic) = 2.112249114773503 " " y[1] (numeric) = 2.1122491147735034 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10244713440290600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1075172728034737 " " Order of pole = 2.082092111105684 " " x[1] = 0.46600000000000036 " " y[1] (analytic) = 2.1127514324639107 " " y[1] (numeric) = 2.112751432463911 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.101947266613193300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1065151142329412 " " Order of pole = 2.082077026965962 " " x[1] = 0.46700000000000036 " " y[1] (analytic) = 2.1132550031073096 " " y[1] (numeric) = 2.11325500310731 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.10144639050695800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1055129777440562 " " Order of pole = 2.0820624688661233 " " x[1] = 0.46800000000000036 " " y[1] (analytic) = 2.1137598279662364 " " y[1] (numeric) = 2.113759827966237 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.100944506440663200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.104510862555424 " " Order of pole = 2.082048418643815 " " x[1] = 0.46900000000000036 " " y[1] (analytic) = 2.11426590830765 " " y[1] (numeric) = 2.1142659083076505 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.100441614770825200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.103508767912932 " " Order of pole = 2.0820348587552324 " " x[1] = 0.47000000000000036 " " y[1] (analytic) = 2.1147732454029446 " " y[1] (numeric) = 2.114773245402945 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.099937715854007500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.1025066930889873 " " Order of pole = 2.082021772258816 " " x[1] = 0.47100000000000036 " " y[1] (analytic) = 2.115281840527964 " " y[1] (numeric) = 2.1152818405279645 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.099432810046816800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.101504637381512 " " Order of pole = 2.0820091427927068 " " x[1] = 0.47200000000000036 " " y[1] (analytic) = 2.115791694963016 " " y[1] (numeric) = 2.115791694963016 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.100502600113005 " " Order of pole = 2.081996954553798 " " x[1] = 0.47300000000000036 " " y[1] (analytic) = 2.1163028099928844 " " y[1] (numeric) = 2.1163028099928844 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0995005806298817 " " Order of pole = 2.081985192283689 " " x[1] = 0.47400000000000037 " " y[1] (analytic) = 2.116815186906848 " " y[1] (numeric) = 2.116815186906848 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.098498578301322 " " Order of pole = 2.0819738412421174 " " x[1] = 0.47500000000000037 " " y[1] (analytic) = 2.117328826998691 " " y[1] (numeric) = 2.117328826998691 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0974965925188478 " " Order of pole = 2.081962887198639 " " x[1] = 0.47600000000000037 " " y[1] (analytic) = 2.1178437315667185 " " y[1] (numeric) = 2.1178437315667185 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.096494622695179 " " Order of pole = 2.0819523164061664 " " x[1] = 0.47700000000000037 " " y[1] (analytic) = 2.1183599019137707 " " y[1] (numeric) = 2.1183599019137707 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0954926682638424 " " Order of pole = 2.0819421155931614 " " x[1] = 0.47800000000000037 " " y[1] (analytic) = 2.118877339347239 " " y[1] (numeric) = 2.1188773393472387 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09587030642780300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0944907286782006 " " Order of pole = 2.0819322719413798 " " x[1] = 0.47900000000000037 " " y[1] (analytic) = 2.1193960451790783 " " y[1] (numeric) = 2.119396045179078 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.095357358339032500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.093488803410833 " " Order of pole = 2.0819227730722503 " " x[1] = 0.48000000000000037 " " y[1] (analytic) = 2.1199160207258236 " " y[1] (numeric) = 2.119916020725823 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.094843406570482700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0924868919529 " " Order of pole = 2.0819136070326714 " " x[1] = 0.48100000000000037 " " y[1] (analytic) = 2.1204372673086045 " " y[1] (numeric) = 2.1204372673086036 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.18865690295784400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0914849938133993 " " Order of pole = 2.0819047622782954 " " x[1] = 0.4820000000000004 " " y[1] (analytic) = 2.1209597862531586 " " y[1] (numeric) = 2.1209597862531577 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.18762498684221600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0904831085187792 " " Order of pole = 2.0818962276653963 " " x[1] = 0.4830000000000004 " " y[1] (analytic) = 2.1214835788898476 " " y[1] (numeric) = 2.121483578889847 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.09329553275378300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0894812356120167 " " Order of pole = 2.081887992429433 " " x[1] = 0.4840000000000004 " " y[1] (analytic) = 2.122008646553674 " " y[1] (numeric) = 2.122008646553673 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.18555513966733400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0884793746522146 " " Order of pole = 2.081880046176451 " " x[1] = 0.4850000000000004 " " y[1] (analytic) = 2.1225349905842914 " " y[1] (numeric) = 2.1225349905842905 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.184517210034909300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0874775252140247 " " Order of pole = 2.081872378870166 " " x[1] = 0.4860000000000004 " " y[1] (analytic) = 2.123062612326025 " " y[1] (numeric) = 2.123062612326024 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.183477277323620600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.086475686887162 " " Order of pole = 2.0818649808212086 " " x[1] = 0.4870000000000004 " " y[1] (analytic) = 2.123591513127884 " " y[1] (numeric) = 2.123591513127883 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.182435342246720300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0854738592756865 " " Order of pole = 2.0818578426704164 " " x[1] = 0.4880000000000004 " " y[1] (analytic) = 2.124121694343576 " " y[1] (numeric) = 2.1241216943435752 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.18139140551738340000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0844720419977245 " " Order of pole = 2.0818509553832243 " " x[1] = 0.4890000000000004 " " y[1] (analytic) = 2.124653157331526 " " y[1] (numeric) = 2.1246531573315246 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.27051820177303400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0834702346848273 " " Order of pole = 2.0818443102348176 " " x[1] = 0.4900000000000004 " " y[1] (analytic) = 2.1251859034548866 " " y[1] (numeric) = 2.1251859034548857 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.179297529953616700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.082468436981546 " " Order of pole = 2.0818378988006643 " " x[1] = 0.4910000000000004 " " y[1] (analytic) = 2.1257199340815593 " " y[1] (numeric) = 2.1257199340815585 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.178247592545028500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0814666485450295 " " Order of pole = 2.0818317129476007 " " x[1] = 0.4920000000000004 " " y[1] (analytic) = 2.1262552505842063 " " y[1] (numeric) = 2.126255250584205 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.26579348450350100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0804648690445335 " " Order of pole = 2.081825744822666 " " x[1] = 0.4930000000000004 " " y[1] (analytic) = 2.126791854340266 " " y[1] (numeric) = 2.1267918543402646 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.26421258305721400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0794630981609197 " " Order of pole = 2.081819986841456 " " x[1] = 0.4940000000000004 " " y[1] (analytic) = 2.127329746731971 " " y[1] (numeric) = 2.12732974673197 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.17508579036491800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0784613355864372 " " Order of pole = 2.0818144316838563 " " x[1] = 0.4950000000000004 " " y[1] (analytic) = 2.1278689291463637 " " y[1] (numeric) = 2.1278689291463624 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.26104179304245400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0774595810241236 " " Order of pole = 2.081809072279839 " " x[1] = 0.4960000000000004 " " y[1] (analytic) = 2.1284094029753096 " " y[1] (numeric) = 2.1284094029753082 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.2594519066106700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0764578341876005 " " Order of pole = 2.081803901805337 " " x[1] = 0.4970000000000004 " " y[1] (analytic) = 2.128951169615516 " " y[1] (numeric) = 2.128951169615515 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.25785902731997600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0754560948005822 " " Order of pole = 2.0817989136708093 " " x[1] = 0.4980000000000004 " " y[1] (analytic) = 2.1294942304685476 " " y[1] (numeric) = 2.1294942304685462 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.25626315623805300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.074454362596554 " " Order of pole = 2.0817941015139887 " " x[1] = 0.4990000000000004 " " y[1] (analytic) = 2.130038586940841 " " y[1] (numeric) = 2.13003858694084 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.25466429443228500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.073452637318515 " " Order of pole = 2.081789459194333 " " x[1] = 0.5000000000000003 " " y[1] (analytic) = 2.130584240443723 " " y[1] (numeric) = 2.1305842404437216 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.25306244296975100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0724509187184699 " " Order of pole = 2.081784980780938 " " x[1] = 0.5010000000000003 " " y[1] (analytic) = 2.131131192393425 " " y[1] (numeric) = 2.131131192393424 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.16763840194480100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.071449206557196 " " Order of pole = 2.0817806605474978 " " x[1] = 0.5020000000000003 " " y[1] (analytic) = 2.1316794442111022 " " y[1] (numeric) = 2.1316794442111013 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.16656651689402900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.070447500604054 " " Order of pole = 2.0817764929683378 " " x[1] = 0.5030000000000003 " " y[1] (analytic) = 2.132228997322847 " " y[1] (numeric) = 2.1322289973228457 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.24823896130733200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0694458006365126 " " Order of pole = 2.0817724727071294 " " x[1] = 0.5040000000000003 " " y[1] (analytic) = 2.132779853159706 " " y[1] (numeric) = 2.132779853159705 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.24662516188174700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0684441064400025 " " Order of pole = 2.0817685946138553 " " x[1] = 0.5050000000000003 " " y[1] (analytic) = 2.1333320131576996 " " y[1] (numeric) = 2.1333320131576983 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.24500837812958100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0674424178074526 " " Order of pole = 2.0817648537137963 " " x[1] = 0.5060000000000003 " " y[1] (analytic) = 2.133885478757835 " " y[1] (numeric) = 2.1338854787578336 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.24338861111571800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.066440734539299 " " Order of pole = 2.0817612452085292 " " x[1] = 0.5070000000000003 " " y[1] (analytic) = 2.1344402514061254 " " y[1] (numeric) = 2.134440251406124 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.24176586190462500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0654390564428395 " " Order of pole = 2.081757764459933 " " x[1] = 0.5080000000000003 " " y[1] (analytic) = 2.134996332553605 " " y[1] (numeric) = 2.134996332553604 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.24014013156033200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0644373833325231 " " Order of pole = 2.081754406998556 " " x[1] = 0.5090000000000003 " " y[1] (analytic) = 2.135553723656349 " " y[1] (numeric) = 2.1355537236563475 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.23851142114641100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0634357150290548 " " Order of pole = 2.0817511685010537 " " x[1] = 0.5100000000000003 " " y[1] (analytic) = 2.1361124261754862 " " y[1] (numeric) = 2.136112426175485 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.2368797317259690000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0624340513598043 " " Order of pole = 2.081748044801536 " " x[1] = 0.5110000000000003 " " y[1] (analytic) = 2.1366724415772205 " " y[1] (numeric) = 2.136672441577219 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.23524506436163100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0614323921580588 " " Order of pole = 2.081745031872803 " " x[1] = 0.5120000000000003 " " y[1] (analytic) = 2.1372337713328453 " " y[1] (numeric) = 2.137233771332844 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.23360742011550900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0604307372631923 " " Order of pole = 2.081742125831461 " " x[1] = 0.5130000000000003 " " y[1] (analytic) = 2.1377964169187624 " " y[1] (numeric) = 2.137796416918761 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.23196680004920700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0594290865202844 " " Order of pole = 2.081739322928616 " " x[1] = 0.5140000000000003 " " y[1] (analytic) = 2.1383603798164983 " " y[1] (numeric) = 2.138360379816497 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.23032320522378600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0584274397797748 " " Order of pole = 2.081736619541445 " " x[1] = 0.5150000000000003 " " y[1] (analytic) = 2.138925661512722 " " y[1] (numeric) = 2.1389256615127206 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.22867663669976400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0574257968976184 " " Order of pole = 2.081734012177911 " " x[1] = 0.5160000000000003 " " y[1] (analytic) = 2.1394922634992635 " " y[1] (numeric) = 2.1394922634992617 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.30270279404944500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.056424157734791 " " Order of pole = 2.0817314974643573 " " x[1] = 0.5170000000000003 " " y[1] (analytic) = 2.140060187273129 " " y[1] (numeric) = 2.1400601872731277 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.22537458279510800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0554225221572713 " " Order of pole = 2.081729072145677 " " x[1] = 0.5180000000000003 " " y[1] (analytic) = 2.140629434336523 " " y[1] (numeric) = 2.140629434336521 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.2982921327101300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0544208900357643 " " Order of pole = 2.0817267330785505 " " x[1] = 0.5190000000000003 " " y[1] (analytic) = 2.14120000619686 " " y[1] (numeric) = 2.141200006196858 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.29608086241026200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0534192612456688 " " Order of pole = 2.0817244772311128 " " x[1] = 0.5200000000000004 " " y[1] (analytic) = 2.1417719043667884 " " y[1] (numeric) = 2.1417719043667867 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.29386563423721600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0524176356667654 " " Order of pole = 2.081722301675338 " " x[1] = 0.5210000000000004 " " y[1] (analytic) = 2.1423451303642054 " " y[1] (numeric) = 2.1423451303642036 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.29164644960013600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0514160131830956 " " Order of pole = 2.0817202035843074 " " x[1] = 0.5220000000000004 " " y[1] (analytic) = 2.1429196857122754 " " y[1] (numeric) = 2.1429196857122736 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.28942330990727400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0504143936829486 " " Order of pole = 2.081718180232336 " " x[1] = 0.5230000000000004 " " y[1] (analytic) = 2.1434955719394484 " " y[1] (numeric) = 2.1434955719394466 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.2871962165659700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.049412777058523 " " Order of pole = 2.081716228986547 " " x[1] = 0.5240000000000004 " " y[1] (analytic) = 2.144072790579478 " " y[1] (numeric) = 2.1440727905794765 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.21372387823697100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0484111632058912 " " Order of pole = 2.0817143473063666 " " x[1] = 0.5250000000000004 " " y[1] (analytic) = 2.144651343171441 " " y[1] (numeric) = 2.1446513431714394 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.28273017456269400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0474095520248645 " " Order of pole = 2.081712532740397 " " x[1] = 0.5260000000000004 " " y[1] (analytic) = 2.1452312312597543 " " y[1] (numeric) = 2.1452312312597526 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.28049122871063100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0464079434187656 " " Order of pole = 2.0817107829208403 " " x[1] = 0.5270000000000004 " " y[1] (analytic) = 2.1458124563941947 " " y[1] (numeric) = 2.1458124563941925 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03478104185373770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0454063372944364 " " Order of pole = 2.0817090955640687 " " x[1] = 0.5280000000000004 " " y[1] (analytic) = 2.1463950201299156 " " y[1] (numeric) = 2.146395020129914 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.27600149432294200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.044404733562073 " " Order of pole = 2.0817074684666963 " " x[1] = 0.5290000000000004 " " y[1] (analytic) = 2.1469789240274695 " " y[1] (numeric) = 2.1469789240274673 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03421883857389170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0434031321350055 " " Order of pole = 2.0817058995000686 " " x[1] = 0.5300000000000004 " " y[1] (analytic) = 2.1475641696528216 " " y[1] (numeric) = 2.14756416965282 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.27149597903479200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0424015329297536 " " Order of pole = 2.081704386612163 " " x[1] = 0.5310000000000004 " " y[1] (analytic) = 2.1481507585773745 " " y[1] (numeric) = 2.1481507585773723 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03365466338164110000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0413999358657937 " " Order of pole = 2.0817029278216737 " " x[1] = 0.5320000000000004 " " y[1] (analytic) = 2.1487386923779814 " " y[1] (numeric) = 2.1487386923779797 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.2669746940442490000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0403983408654667 " " Order of pole = 2.081701521216015 " " x[1] = 0.5330000000000004 " " y[1] (analytic) = 2.1493279726369714 " " y[1] (numeric) = 2.149327972636969 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03308851767563810000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0393967478539412 " " Order of pole = 2.0817001649505826 " " x[1] = 0.5340000000000004 " " y[1] (analytic) = 2.1499186009421623 " " y[1] (numeric) = 2.14991860094216 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03280470631643610000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0383951567589516 " " Order of pole = 2.0816988572421025 " " x[1] = 0.5350000000000004 " " y[1] (analytic) = 2.1505105788868852 " " y[1] (numeric) = 2.150510578886883 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03252040285225040000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0373935675110784 " " Order of pole = 2.0816975963764364 " " x[1] = 0.5360000000000004 " " y[1] (analytic) = 2.151103908070001 " " y[1] (numeric) = 2.1511039080699987 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03223560745725510000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0363919800431114 " " Order of pole = 2.081696380691902 " " x[1] = 0.5370000000000004 " " y[1] (analytic) = 2.1516985900959207 " " y[1] (numeric) = 2.1516985900959185 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03195032030546990000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0353903942903937 " " Order of pole = 2.0816952085887195 " " x[1] = 0.5380000000000004 " " y[1] (analytic) = 2.152294626574626 " " y[1] (numeric) = 2.1522946265746232 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.23799744988490740000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0343888101906202 " " Order of pole = 2.081694078523885 " " x[1] = 0.5390000000000004 " " y[1] (analytic) = 2.152892019121686 " " y[1] (numeric) = 2.152892019121684 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03137827142681630000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0333872276836804 " " Order of pole = 2.0816929890072764 " " x[1] = 0.5400000000000004 " " y[1] (analytic) = 2.1534907693582817 " " y[1] (numeric) = 2.1534907693582794 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03109151004718890000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0323856467115844 " " Order of pole = 2.0816919385999135 " " x[1] = 0.5410000000000004 " " y[1] (analytic) = 2.1540908789112208 " " y[1] (numeric) = 2.154090878911219 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.24643406084196800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0313840672184964 " " Order of pole = 2.081690925915108 " " x[1] = 0.5420000000000004 " " y[1] (analytic) = 2.1546923494129624 " " y[1] (numeric) = 2.15469234941296 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.0305165142741910000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.030382489150579 " " Order of pole = 2.0816899496144785 " " x[1] = 0.5430000000000004 " " y[1] (analytic) = 2.1552951825016327 " " y[1] (numeric) = 2.1552951825016304 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.03022828022705470000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0293809124558804 " " Order of pole = 2.081689008405256 " " x[1] = 0.5440000000000004 " " y[1] (analytic) = 2.155899379821049 " " y[1] (numeric) = 2.155899379821047 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02993955563669290000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0283793370844 " " Order of pole = 2.081688101042193 " " x[1] = 0.5450000000000004 " " y[1] (analytic) = 2.1565049430207384 " " y[1] (numeric) = 2.156504943020736 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02965034067578290000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0273777629878424 " " Order of pole = 2.0816872263211366 " " x[1] = 0.5460000000000004 " " y[1] (analytic) = 2.1571118737559574 " " y[1] (numeric) = 2.157111873755955 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02936063551682110000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.026376190119768 " " Order of pole = 2.0816863830833867 " " x[1] = 0.5470000000000004 " " y[1] (analytic) = 2.157720173687714 " " y[1] (numeric) = 2.1577201736877116 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02907044033211950000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.025374618435282 " " Order of pole = 2.081685570207469 " " x[1] = 0.5480000000000004 " " y[1] (analytic) = 2.158329844482787 " " y[1] (numeric) = 2.1583298444827848 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02877975529380290000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.024373047891212 " " Order of pole = 2.0816847866140833 " " x[1] = 0.5490000000000004 " " y[1] (analytic) = 2.1589408878137477 " " y[1] (numeric) = 2.1589408878137455 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02848858057380560000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0233714784459638 " " Order of pole = 2.08168403126248 " " x[1] = 0.5500000000000004 " " y[1] (analytic) = 2.159553305358981 " " y[1] (numeric) = 2.159553305358979 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02819691634386850000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0223699100593002 " " Order of pole = 2.081683303144601 " " x[1] = 0.5510000000000004 " " y[1] (analytic) = 2.1601670988027046 " " y[1] (numeric) = 2.1601670988027024 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02790476277553650000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0213683426925606 " " Order of pole = 2.081682601291188 " " x[1] = 0.5520000000000004 " " y[1] (analytic) = 2.160782269834992 " " y[1] (numeric) = 2.1607822698349897 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02761212004015450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0203667763084525 " " Order of pole = 2.0816819247663787 " " x[1] = 0.5530000000000004 " " y[1] (analytic) = 2.1613988201517924 " " y[1] (numeric) = 2.16139882015179 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02731898830886460000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0193652108710252 " " Order of pole = 2.081681272667094 " " x[1] = 0.5540000000000004 " " y[1] (analytic) = 2.162016751454953 " " y[1] (numeric) = 2.1620167514549506 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02702536775260400000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0183636463456038 " " Order of pole = 2.081680644121402 " " x[1] = 0.5550000000000004 " " y[1] (analytic) = 2.162636065452239 " " y[1] (numeric) = 2.162636065452237 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.02673125854210010000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0173620826988532 " " Order of pole = 2.081680038290475 " " x[1] = 0.5560000000000004 " " y[1] (analytic) = 2.1632567638573565 " " y[1] (numeric) = 2.1632567638573548 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.21149328678295500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.016360519898546 " " Order of pole = 2.0816794543623267 " " x[1] = 0.5570000000000004 " " y[1] (analytic) = 2.163878848389974 " " y[1] (numeric) = 2.163878848389972 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.209132598721700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0153589579136215 " " Order of pole = 2.081678891553711 " " x[1] = 0.5580000000000004 " " y[1] (analytic) = 2.1645023207757417 " " y[1] (numeric) = 2.16450232077574 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.20676800551369800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0143573967142792 " " Order of pole = 2.0816783491126145 " " x[1] = 0.5590000000000004 " " y[1] (analytic) = 2.165127182746317 " " y[1] (numeric) = 2.1651271827463154 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.20439950851784100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0133558362715984 " " Order of pole = 2.0816778263081765 " " x[1] = 0.5600000000000004 " " y[1] (analytic) = 2.1657534360393846 " " y[1] (numeric) = 2.165753436039383 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.20202710909122700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0123542765578906 " " Order of pole = 2.081677322440367 " " x[1] = 0.5610000000000004 " " y[1] (analytic) = 2.1663810823986775 " " y[1] (numeric) = 2.1663810823986758 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.19965080858912600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0113527175463592 " " Order of pole = 2.0816768368308303 " " x[1] = 0.5620000000000004 " " y[1] (analytic) = 2.167010123574001 " " y[1] (numeric) = 2.1670101235739994 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.19727060836497200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0103511592111643 " " Order of pole = 2.0816763688247306 " " x[1] = 0.5630000000000004 " " y[1] (analytic) = 2.1676405613212544 " " y[1] (numeric) = 2.1676405613212526 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.19488650977031600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.009349601527514 " " Order of pole = 2.081675917793479 " " x[1] = 0.5640000000000004 " " y[1] (analytic) = 2.1682723974024523 " " y[1] (numeric) = 2.1682723974024505 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 8.19249851415482200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0083480444714799 " " Order of pole = 2.0816754831296507 " " x[1] = 0.5650000000000004 " " y[1] (analytic) = 2.1689056335857484 " " y[1] (numeric) = 2.168905633585747 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.14257996714967000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0073464880199479 " " Order of pole = 2.081675064245868 " " x[1] = 0.5660000000000004 " " y[1] (analytic) = 2.1695402716454586 " " y[1] (numeric) = 2.1695402716454573 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.14078312793773300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0063449321506182 " " Order of pole = 2.081674660574837 " " x[1] = 0.5670000000000004 " " y[1] (analytic) = 2.1701763133620817 " " y[1] (numeric) = 2.1701763133620804 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.1389833689881700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.005343376842137 " " Order of pole = 2.081674271573039 " " x[1] = 0.5680000000000004 " " y[1] (analytic) = 2.170813760522324 " " y[1] (numeric) = 2.1708137605223228 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 6.13718069130733800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.004341822073801 " " Order of pole = 2.081673896712786 " " x[1] = 0.5690000000000004 " " y[1] (analytic) = 2.1714526149191213 " " y[1] (numeric) = 2.1714526149191204 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.090250063933385500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0033402678257348 " " Order of pole = 2.0816735354871554 " " x[1] = 0.5700000000000004 " " y[1] (analytic) = 2.172092878351663 " " y[1] (numeric) = 2.172092878351662 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.08904438917979200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.0023387140787245 " " Order of pole = 2.081673187405471 " " x[1] = 0.5710000000000004 " " y[1] (analytic) = 2.172734552625414 " " y[1] (numeric) = 2.172734552625413 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.08783677061194060000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.001337160814305 " " Order of pole = 2.0816728519958403 " " x[1] = 0.5720000000000004 " " y[1] (analytic) = 2.1733776395521387 " " y[1] (numeric) = 2.173377639552138 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.08662720889660700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 1.000335608014688 " " Order of pole = 2.081672528803203 " " x[1] = 0.5730000000000004 " " y[1] (analytic) = 2.1740221409499245 " " y[1] (numeric) = 2.174022140949924 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0427078523497500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9993340556626906 " " Order of pole = 2.0816722173875384 " " x[1] = 0.5740000000000004 " " y[1] (analytic) = 2.174668058643206 " " y[1] (numeric) = 2.1746680586432054 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.04210112934262580000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9983325037418069 " " Order of pole = 2.081671917325753 " " x[1] = 0.5750000000000004 " " y[1] (analytic) = 2.175315394462787 " " y[1] (numeric) = 2.1753153944627868 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.041493435758699500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9973309522360748 " " Order of pole = 2.0816716282082766 " " x[1] = 0.5760000000000004 " " y[1] (analytic) = 2.1759641502458664 " " y[1] (numeric) = 2.175964150245866 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.040884771929188700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9963294011301577 " " Order of pole = 2.08167134964123 " " x[1] = 0.5770000000000004 " " y[1] (analytic) = 2.1766143278360595 " " y[1] (numeric) = 2.176614327836059 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.040275138184751400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.995327850409278 " " Order of pole = 2.0816710812447425 " " x[1] = 0.5780000000000004 " " y[1] (analytic) = 2.1772659290834246 " " y[1] (numeric) = 2.177265929083424 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03966453485547900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9943263000592012 " " Order of pole = 2.0816708226525336 " " x[1] = 0.5790000000000004 " " y[1] (analytic) = 2.1779189558444867 " " y[1] (numeric) = 2.1779189558444862 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03905296227089080000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9933247500661885 " " Order of pole = 2.0816705735107135 " " x[1] = 0.5800000000000004 " " y[1] (analytic) = 2.17857340998226 " " y[1] (numeric) = 2.17857340998226 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9923232004169994 " " Order of pole = 2.081670333477849 " " x[1] = 0.5810000000000004 " " y[1] (analytic) = 2.1792292933662747 " " y[1] (numeric) = 2.1792292933662742 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0378269106509400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9913216510988988 " " Order of pole = 2.0816701022252992 " " x[1] = 0.5820000000000004 " " y[1] (analytic) = 2.1798866078725996 " " y[1] (numeric) = 2.179886607872599 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.037212432271691700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.990320102099643 " " Order of pole = 2.08166987943682 " " x[1] = 0.5830000000000004 " " y[1] (analytic) = 2.1805453553838685 " " y[1] (numeric) = 2.180545355383868 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.036596985949343200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9893185534073151 " " Order of pole = 2.0816696648040676 " " x[1] = 0.5840000000000004 " " y[1] (analytic) = 2.181205537789304 " " y[1] (numeric) = 2.1812055377893036 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03598057201044900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9883170050106501 " " Order of pole = 2.0816694580356945 " " x[1] = 0.5850000000000004 " " y[1] (analytic) = 2.181867156984742 " " y[1] (numeric) = 2.181867156984742 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9873154568986271 " " Order of pole = 2.0816692588460555 " " x[1] = 0.5860000000000004 " " y[1] (analytic) = 2.182530214872659 " " y[1] (numeric) = 2.1825302148726586 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.03474484258616900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.98631390906062 " " Order of pole = 2.081669066959474 " " x[1] = 0.5870000000000004 " " y[1] (analytic) = 2.1831947133621936 " " y[1] (numeric) = 2.1831947133621936 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9853123614864837 " " Order of pole = 2.081668882112634 " " x[1] = 0.5880000000000004 " " y[1] (analytic) = 2.1838606543691763 " " y[1] (numeric) = 2.183860654369176 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.033505246598899500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9843108141664579 " " Order of pole = 2.081668704052003 " " x[1] = 0.5890000000000004 " " y[1] (analytic) = 2.1845280398161506 " " y[1] (numeric) = 2.18452803981615 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.032883999453891600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9833092670910095 " " Order of pole = 2.081668532529445 " " x[1] = 0.5900000000000004 " " y[1] (analytic) = 2.1851968716324017 " " y[1] (numeric) = 2.1851968716324017 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9823077202510928 " " Order of pole = 2.081668367309529 " " x[1] = 0.5910000000000004 " " y[1] (analytic) = 2.185867151753982 " " y[1] (numeric) = 2.185867151753982 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9813061736379023 " " Order of pole = 2.0816682081626823 " " x[1] = 0.5920000000000004 " " y[1] (analytic) = 2.1865388821237346 " " y[1] (numeric) = 2.1865388821237346 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9803046272430299 " " Order of pole = 2.0816680548696276 " " x[1] = 0.5930000000000004 " " y[1] (analytic) = 2.1872120646913222 " " y[1] (numeric) = 2.1872120646913222 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9793030810582948 " " Order of pole = 2.0816679072166053 " " x[1] = 0.5940000000000004 " " y[1] (analytic) = 2.1878867014132513 " " y[1] (numeric) = 2.1878867014132513 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9783015350758981 " " Order of pole = 2.0816677649998354 " " x[1] = 0.5950000000000004 " " y[1] (analytic) = 2.188562794252899 " " y[1] (numeric) = 2.1885627942528996 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0291362487575300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9772999892882783 " " Order of pole = 2.081667628021428 " " x[1] = 0.5960000000000004 " " y[1] (analytic) = 2.1892403451805413 " " y[1] (numeric) = 2.189240345180542 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.028508248661202400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9762984436881804 " " Order of pole = 2.0816674960913737 " " x[1] = 0.5970000000000004 " " y[1] (analytic) = 2.189919356173376 " " y[1] (numeric) = 2.1899193561733763 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.027879285135210700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9752968982685348 " " Order of pole = 2.081667369024167 " " x[1] = 0.5980000000000004 " " y[1] (analytic) = 2.190599829215552 " " y[1] (numeric) = 2.1905998292155524 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.027249358496890600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.974295353022709 " " Order of pole = 2.08166724664596 " " x[1] = 0.5990000000000004 " " y[1] (analytic) = 2.1912817662981956 " " y[1] (numeric) = 2.191281766298196 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.02661846906286800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9732938079441238 " " Order of pole = 2.0816671287837316 " " x[1] = 0.6000000000000004 " " y[1] (analytic) = 2.1919651694194378 " " y[1] (numeric) = 2.191965169419438 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.025986617149048000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9722922630265771 " " Order of pole = 2.0816670152745154 " " x[1] = 0.6010000000000004 " " y[1] (analytic) = 2.192650040584441 " " y[1] (numeric) = 2.192650040584441 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9712907182639936 " " Order of pole = 2.08166690595824 " " x[1] = 0.6020000000000004 " " y[1] (analytic) = 2.193336381805426 " " y[1] (numeric) = 2.193336381805426 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.970289173650621 " " Order of pole = 2.0816668006834576 " " x[1] = 0.6030000000000004 " " y[1] (analytic) = 2.1940241951016994 " " y[1] (numeric) = 2.1940241951016994 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9692876291808026 " " Order of pole = 2.0816666993008113 " " x[1] = 0.6040000000000004 " " y[1] (analytic) = 2.194713482499683 " " y[1] (numeric) = 2.194713482499683 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9682860848492368 " " Order of pole = 2.081666601670463 " " x[1] = 0.6050000000000004 " " y[1] (analytic) = 2.1954042460329384 " " y[1] (numeric) = 2.1954042460329384 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9672845406506966 " " Order of pole = 2.0816665076541874 " " x[1] = 0.6060000000000004 " " y[1] (analytic) = 2.1960964877421976 " " y[1] (numeric) = 2.1960964877421976 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9662829965802109 " " Order of pole = 2.0816664171205055 " " x[1] = 0.6070000000000004 " " y[1] (analytic) = 2.1967902096753895 " " y[1] (numeric) = 2.1967902096753895 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.965281452632987 " " Order of pole = 2.0816663299425144 " " x[1] = 0.6080000000000004 " " y[1] (analytic) = 2.197485413887669 " " y[1] (numeric) = 2.197485413887669 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9642799088043265 " " Order of pole = 2.0816662459955104 " " x[1] = 0.6090000000000004 " " y[1] (analytic) = 2.198182102441444 " " y[1] (numeric) = 2.198182102441444 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9632783650898465 " " Order of pole = 2.0816661651633304 " " x[1] = 0.6100000000000004 " " y[1] (analytic) = 2.198880277406405 " " y[1] (numeric) = 2.198880277406405 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9622768214852693 " " Order of pole = 2.0816660873323762 " " x[1] = 0.6110000000000004 " " y[1] (analytic) = 2.1995799408595538 " " y[1] (numeric) = 2.1995799408595538 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9612752779863964 " " Order of pole = 2.0816660123908832 " " x[1] = 0.6120000000000004 " " y[1] (analytic) = 2.2002810948852316 " " y[1] (numeric) = 2.2002810948852316 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9602737345892941 " " Order of pole = 2.081665940234206 " " x[1] = 0.6130000000000004 " " y[1] (analytic) = 2.2009837415751474 " " y[1] (numeric) = 2.200983741575148 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.0176850989923600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9592721912901139 " " Order of pole = 2.0816658707597924 " " x[1] = 0.6140000000000004 " " y[1] (analytic) = 2.2016878830284097 " " y[1] (numeric) = 2.2016878830284097 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9582706480851675 " " Order of pole = 2.0816658038692637 " " x[1] = 0.6150000000000004 " " y[1] (analytic) = 2.2023935213515515 " " y[1] (numeric) = 2.2023935213515515 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.957269104970904 " " Order of pole = 2.0816657394678195 " " x[1] = 0.6160000000000004 " " y[1] (analytic) = 2.2031006586585637 " " y[1] (numeric) = 2.2031006586585637 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9562675619439377 " " Order of pole = 2.081665677465036 " " x[1] = 0.6170000000000004 " " y[1] (analytic) = 2.203809297070923 " " y[1] (numeric) = 2.2038092970709227 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.01509817768851570000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9552660190009322 " " Order of pole = 2.0816656177715664 " " x[1] = 0.6180000000000004 " " y[1] (analytic) = 2.2045194387176203 " " y[1] (numeric) = 2.2045194387176203 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9542644761387382 " " Order of pole = 2.0816655603031187 " " x[1] = 0.6190000000000004 " " y[1] (analytic) = 2.2052310857351936 " " y[1] (numeric) = 2.2052310857351936 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9532629333542922 " " Order of pole = 2.0816655049775363 " " x[1] = 0.6200000000000004 " " y[1] (analytic) = 2.2059442402677547 " " y[1] (numeric) = 2.2059442402677547 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9522613906446953 " " Order of pole = 2.0816654517171145 " " x[1] = 0.6210000000000004 " " y[1] (analytic) = 2.206658904467022 " " y[1] (numeric) = 2.206658904467022 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9512598480070898 " " Order of pole = 2.081665400445022 " " x[1] = 0.6220000000000004 " " y[1] (analytic) = 2.2073750804923495 " " y[1] (numeric) = 2.2073750804923495 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9502583054387456 " " Order of pole = 2.081665351087839 " " x[1] = 0.6230000000000004 " " y[1] (analytic) = 2.208092770510757 " " y[1] (numeric) = 2.2080927705107576 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.011189093958854200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9492567629370455 " " Order of pole = 2.0816653035751216 " " x[1] = 0.6240000000000004 " " y[1] (analytic) = 2.208811976696963 " " y[1] (numeric) = 2.2088119766969636 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.010534235304851400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9482552204994579 " " Order of pole = 2.0816652578386368 " " x[1] = 0.6250000000000004 " " y[1] (analytic) = 2.2095327012334125 " " y[1] (numeric) = 2.209532701233413 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.009878421813633700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9472536781235891 " " Order of pole = 2.0816652138139027 " " x[1] = 0.6260000000000004 " " y[1] (analytic) = 2.210254946310309 " " y[1] (numeric) = 2.21025494631031 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.0184433075596400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9462521358070802 " " Order of pole = 2.081665171437173 " " x[1] = 0.6270000000000004 " " y[1] (analytic) = 2.2109787141256487 " " y[1] (numeric) = 2.210978714125649 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.00856393149710500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.945250593547665 " " Order of pole = 2.0816651306471847 " " x[1] = 0.6280000000000004 " " y[1] (analytic) = 2.211704006885246 " " y[1] (numeric) = 2.2117040068852467 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.015810510516511500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9442490513432144 " " Order of pole = 2.0816650913863946 " " x[1] = 0.6290000000000004 " " y[1] (analytic) = 2.2124308268027706 " " y[1] (numeric) = 2.2124308268027715 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.014491250710198000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9432475091915915 " " Order of pole = 2.0816650535968257 " " x[1] = 0.6300000000000004 " " y[1] (analytic) = 2.2131591760997757 " " y[1] (numeric) = 2.2131591760997766 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.013170084157035600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9422459670908283 " " Order of pole = 2.0816650172251983 " " x[1] = 0.6310000000000004 " " y[1] (analytic) = 2.2138890570057317 " " y[1] (numeric) = 2.2138890570057326 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01184701143687760000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9412444250390227 " " Order of pole = 2.081664982219973 " " x[1] = 0.6320000000000005 " " y[1] (analytic) = 2.214620471758057 " " y[1] (numeric) = 2.214620471758058 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.01052203312765600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9402428830342121 " " Order of pole = 2.0816649485275853 " " x[1] = 0.6330000000000005 " " y[1] (analytic) = 2.2153534226021514 " " y[1] (numeric) = 2.2153534226021523 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.00919514980536130000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9392413410746883 " " Order of pole = 2.08166491610179 " " x[1] = 0.6340000000000005 " " y[1] (analytic) = 2.2160879117914267 " " y[1] (numeric) = 2.2160879117914276 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.00786636204402800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9382397991587277 " " Order of pole = 2.08166488489562 " " x[1] = 0.6350000000000005 " " y[1] (analytic) = 2.2168239415873416 " " y[1] (numeric) = 2.2168239415873425 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.00653567041571700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.937238257284651 " " Order of pole = 2.0816648548632912 " " x[1] = 0.6360000000000005 " " y[1] (analytic) = 2.2175615142594323 " " y[1] (numeric) = 2.217561514259433 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.005203075490501600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9362367154508625 " " Order of pole = 2.081664825961276 " " x[1] = 0.6370000000000005 " " y[1] (analytic) = 2.218300632085347 " " y[1] (numeric) = 2.218300632085348 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.00386857783644800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9352351736558131 " " Order of pole = 2.0816647981472265 " " x[1] = 0.6380000000000005 " " y[1] (analytic) = 2.219041297350878 " " y[1] (numeric) = 2.2190412973508784 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.001266089009800800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9342336318980324 " " Order of pole = 2.081664771380982 " " x[1] = 0.6390000000000005 " " y[1] (analytic) = 2.219783512349995 " " y[1] (numeric) = 2.2197835123499954 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.00059693830198500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9332320901761431 " " Order of pole = 2.0816647456249306 " " x[1] = 0.6400000000000005 " " y[1] (analytic) = 2.220527279384879 " " y[1] (numeric) = 2.2205272793848794 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.999926837075752300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.932230548488712 " " Order of pole = 2.08166472083969 " " x[1] = 0.6410000000000005 " " y[1] (analytic) = 2.2212726007659565 " " y[1] (numeric) = 2.2212726007659565 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9312290068344616 " " Order of pole = 2.0816646969902877 " " x[1] = 0.6420000000000005 " " y[1] (analytic) = 2.222019478811931 " " y[1] (numeric) = 2.2220194788119314 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.998583784186753500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9302274652121082 " " Order of pole = 2.0816646740414733 " " x[1] = 0.6430000000000005 " " y[1] (analytic) = 2.2227679158498206 " " y[1] (numeric) = 2.2227679158498206 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9292259236204226 " " Order of pole = 2.0816646519594393 " " x[1] = 0.6440000000000005 " " y[1] (analytic) = 2.2235179142149883 " " y[1] (numeric) = 2.2235179142149883 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9282243820582592 " " Order of pole = 2.081664630712744 " " x[1] = 0.6450000000000005 " " y[1] (analytic) = 2.2242694762511794 " " y[1] (numeric) = 2.2242694762511794 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.927222840524489 " " Order of pole = 2.081664610270291 " " x[1] = 0.6460000000000005 " " y[1] (analytic) = 2.225022604310555 " " y[1] (numeric) = 2.225022604310555 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9262212990179676 " " Order of pole = 2.081664590600397 " " x[1] = 0.6470000000000005 " " y[1] (analytic) = 2.225777300753726 " " y[1] (numeric) = 2.225777300753726 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9252197575377037 " " Order of pole = 2.0816645716758337 " " x[1] = 0.6480000000000005 " " y[1] (analytic) = 2.226533567949789 " " y[1] (numeric) = 2.226533567949789 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.924218216082695 " " Order of pole = 2.08166455346894 " " x[1] = 0.6490000000000005 " " y[1] (analytic) = 2.2272914082763613 " " y[1] (numeric) = 2.2272914082763613 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9232166746519266 " " Order of pole = 2.081664535951518 " " x[1] = 0.6500000000000005 " " y[1] (analytic) = 2.2280508241196166 " " y[1] (numeric) = 2.2280508241196166 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.922215133244517 " " Order of pole = 2.081664519099288 " " x[1] = 0.6510000000000005 " " y[1] (analytic) = 2.2288118178743193 " " y[1] (numeric) = 2.2288118178743193 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9212135918595299 " " Order of pole = 2.0816645028862233 " " x[1] = 0.6520000000000005 " " y[1] (analytic) = 2.229574391943861 " " y[1] (numeric) = 2.2295743919438613 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.991811582760789300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.920212050496137 " " Order of pole = 2.081664487289416 " " x[1] = 0.6530000000000005 " " y[1] (analytic) = 2.2303385487402974 " " y[1] (numeric) = 2.2303385487402974 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9192105091535023 " " Order of pole = 2.0816644722856275 " " x[1] = 0.6540000000000005 " " y[1] (analytic) = 2.231104290684382 " " y[1] (numeric) = 2.231104290684382 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9182089678307832 " " Order of pole = 2.081664457851357 " " x[1] = 0.6550000000000005 " " y[1] (analytic) = 2.2318716202056055 " " y[1] (numeric) = 2.2318716202056055 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9172074265272689 " " Order of pole = 2.0816644439669254 " " x[1] = 0.6560000000000005 " " y[1] (analytic) = 2.2326405397422295 " " y[1] (numeric) = 2.2326405397422295 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9162058852421642 " " Order of pole = 2.0816644306100685 " " x[1] = 0.6570000000000005 " " y[1] (analytic) = 2.2334110517413253 " " y[1] (numeric) = 2.233411051741325 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.988389954029372600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9152043439748201 " " Order of pole = 2.0816644177628056 " " x[1] = 0.6580000000000005 " " y[1] (analytic) = 2.2341831586588086 " " y[1] (numeric) = 2.2341831586588086 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9142028027245439 " " Order of pole = 2.0816644054057996 " " x[1] = 0.6590000000000005 " " y[1] (analytic) = 2.2349568629594803 " " y[1] (numeric) = 2.23495686295948 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.987014681178273500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9132012614906285 " " Order of pole = 2.081664393519169 " " x[1] = 0.6600000000000005 " " y[1] (analytic) = 2.235732167117059 " " y[1] (numeric) = 2.235732167117059 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9121997202724812 " " Order of pole = 2.0816643820864336 " " x[1] = 0.6610000000000005 " " y[1] (analytic) = 2.2365090736142235 " " y[1] (numeric) = 2.2365090736142235 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9111981790694695 " " Order of pole = 2.081664371089815 " " x[1] = 0.6620000000000005 " " y[1] (analytic) = 2.2372875849426466 " " y[1] (numeric) = 2.2372875849426466 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9101966378810235 " " Order of pole = 2.081664360513365 " " x[1] = 0.6630000000000005 " " y[1] (analytic) = 2.238067703603035 " " y[1] (numeric) = 2.2380677036030354 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.984252795995087300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9091950967065846 " " Order of pole = 2.081664350341402 " " x[1] = 0.6640000000000005 " " y[1] (analytic) = 2.2388494321051686 " " y[1] (numeric) = 2.2388494321051686 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9081935555455952 " " Order of pole = 2.0816643405582624 " " x[1] = 0.6650000000000005 " " y[1] (analytic) = 2.239632772967935 " " y[1] (numeric) = 2.2396327729679353 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.982866187752561000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9071920143975514 " " Order of pole = 2.0816643311497707 " " x[1] = 0.6660000000000005 " " y[1] (analytic) = 2.2404177287193727 " " y[1] (numeric) = 2.240417728719373 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.982171468103427800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9061904732619446 " " Order of pole = 2.081664322101613 " " x[1] = 0.6670000000000005 " " y[1] (analytic) = 2.2412043018967074 " " y[1] (numeric) = 2.241204301896708 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.981475805102795300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9051889321382688 " " Order of pole = 2.0816643133994717 " " x[1] = 0.6680000000000005 " " y[1] (analytic) = 2.2419924950463908 " " y[1] (numeric) = 2.241992495046391 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.980779198999386700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.904187391026102 " " Order of pole = 2.081664305031527 " " x[1] = 0.6690000000000005 " " y[1] (analytic) = 2.2427823107241407 " " y[1] (numeric) = 2.2427823107241416 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.96016330008128900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9031858499249755 " " Order of pole = 2.0816642969844708 " " x[1] = 0.6700000000000005 " " y[1] (analytic) = 2.2435737514949814 " " y[1] (numeric) = 2.2435737514949823 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.958766316945440700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9021843088344689 " " Order of pole = 2.0816642892464685 " " x[1] = 0.6710000000000005 " " y[1] (analytic) = 2.2443668199332816 " " y[1] (numeric) = 2.2443668199332825 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.95736744908093100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9011827677541653 " " Order of pole = 2.0816642818056863 " " x[1] = 0.6720000000000005 " " y[1] (analytic) = 2.2451615186227953 " " y[1] (numeric) = 2.2451615186227962 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.95596669697484750000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.9001812266836543 " " Order of pole = 2.08166427465045 " " x[1] = 0.6730000000000005 " " y[1] (analytic) = 2.245957850156702 " " y[1] (numeric) = 2.245957850156703 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.954564061111638400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8991796856225718 " " Order of pole = 2.0816642677704884 " " x[1] = 0.6740000000000005 " " y[1] (analytic) = 2.2467558171376467 " " y[1] (numeric) = 2.2467558171376476 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.953159541973097500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8981781445705463 " " Order of pole = 2.081664261155236 " " x[1] = 0.6750000000000005 " " y[1] (analytic) = 2.247555422177781 " " y[1] (numeric) = 2.247555422177782 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.951753140038344300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8971766035272214 " " Order of pole = 2.0816642547945463 " " x[1] = 0.6760000000000005 " " y[1] (analytic) = 2.2483566678988027 " " y[1] (numeric) = 2.248356667898804 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.92551728367570800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8961750624922663 " " Order of pole = 2.0816642486790222 " " x[1] = 0.6770000000000005 " " y[1] (analytic) = 2.249159556932 " " y[1] (numeric) = 2.2491595569320015 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.92340203452478600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8951735214653506 " " Order of pole = 2.081664242799242 " " x[1] = 0.6780000000000005 " " y[1] (analytic) = 2.2499640919182893 " " y[1] (numeric) = 2.2499640919182906 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.92128396331122900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.894171980446182 " " Order of pole = 2.0816642371469207 " " x[1] = 0.6790000000000005 " " y[1] (analytic) = 2.2507702755082577 " " y[1] (numeric) = 2.250770275508259 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.9191630707373800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8931704394344004 " " Order of pole = 2.0816642317116454 " " x[1] = 0.6800000000000005 " " y[1] (analytic) = 2.251578110362207 " " y[1] (numeric) = 2.2515781103622077 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.94469290500095440000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8921688984297912 " " Order of pole = 2.0816642264874297 " " x[1] = 0.6810000000000005 " " y[1] (analytic) = 2.2523875991501914 " " y[1] (numeric) = 2.2523875991501927 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.91491282429739100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8911673574319974 " " Order of pole = 2.081664221463896 " " x[1] = 0.6820000000000005 " " y[1] (analytic) = 2.2531987445520656 " " y[1] (numeric) = 2.253198744552067 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.91278347181505200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8901658164407992 " " Order of pole = 2.08166421663487 " " x[1] = 0.6830000000000005 " " y[1] (analytic) = 2.254011549257522 " " y[1] (numeric) = 2.2540115492575232 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 5.91065130073996500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8891642754559492 " " Order of pole = 2.081664211993246 " " x[1] = 0.6840000000000005 " " y[1] (analytic) = 2.254826015966135 " " y[1] (numeric) = 2.254826015966137 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.87802174900455600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.888162734477147 " " Order of pole = 2.081664207530295 " " x[1] = 0.6850000000000005 " " y[1] (analytic) = 2.255642147387407 " " y[1] (numeric) = 2.255642147387409 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.87517134070983800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8871611935042235 " " Order of pole = 2.0816642032413313 " " x[1] = 0.6860000000000005 " " y[1] (analytic) = 2.256459946240807 " " y[1] (numeric) = 2.256459946240809 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.87231717699933700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8861596525369051 " " Order of pole = 2.08166419911835 " " x[1] = 0.6870000000000005 " " y[1] (analytic) = 2.257279415255817 " " y[1] (numeric) = 2.2572794152558187 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.86945925876410100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8851581115749539 " " Order of pole = 2.0816641951544703 " " x[1] = 0.6880000000000005 " " y[1] (analytic) = 2.2581005571719746 " " y[1] (numeric) = 2.2581005571719768 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.83324698361166100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8841565706182124 " " Order of pole = 2.081664191345272 " " x[1] = 0.6890000000000005 " " y[1] (analytic) = 2.2589233747389184 " " y[1] (numeric) = 2.258923374738921 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.17955982433814820000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8831550296664359 " " Order of pole = 2.0816641876836 " " x[1] = 0.6900000000000005 " " y[1] (analytic) = 2.259747870716431 " " y[1] (numeric) = 2.2597478707164336 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.17912944785986730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8821534887194491 " " Order of pole = 2.0816641841644383 " " x[1] = 0.6910000000000005 " " y[1] (analytic) = 2.260574047874483 " " y[1] (numeric) = 2.2605740478744853 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.82248757273887700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8811519477770409 " " Order of pole = 2.081664180781626 " " x[1] = 0.6920000000000005 " " y[1] (analytic) = 2.261401908993279 " " y[1] (numeric) = 2.2614019089932813 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.81889172561458400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8801504068390688 " " Order of pole = 2.081664177531099 " " x[1] = 0.6930000000000005 " " y[1] (analytic) = 2.2622314568633017 " " y[1] (numeric) = 2.2622314568633044 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.177834943023420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8791488659053353 " " Order of pole = 2.0816641744071127 " " x[1] = 0.6940000000000005 " " y[1] (analytic) = 2.263062694285359 " " y[1] (numeric) = 2.2630626942853613 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.81168597254216200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8781473249756468 " " Order of pole = 2.0816641714039648 " " x[1] = 0.6950000000000005 " " y[1] (analytic) = 2.263895624070626 " " y[1] (numeric) = 2.2638956240706287 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.17696912824513280000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8771457840499051 " " Order of pole = 2.0816641685189374 " " x[1] = 0.6960000000000005 " " y[1] (analytic) = 2.2647302490406953 " " y[1] (numeric) = 2.2647302490406975 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.80446148140980500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8761442431279105 " " Order of pole = 2.081664165746133 " " x[1] = 0.6970000000000005 " " y[1] (analytic) = 2.2655665720276184 " " y[1] (numeric) = 2.2655665720276206 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.8008422116816300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8751427022095136 " " Order of pole = 2.0816641630811823 " " x[1] = 0.6980000000000005 " " y[1] (analytic) = 2.2664045958739556 " " y[1] (numeric) = 2.266404595873958 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.79721826055545800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8741411612945921 " " Order of pole = 2.081664160520564 " " x[1] = 0.6990000000000005 " " y[1] (analytic) = 2.2672443234328217 " " y[1] (numeric) = 2.267244323432824 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.79358962905395500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8731396203830012 " " Order of pole = 2.0816641580600432 " " x[1] = 0.7000000000000005 " " y[1] (analytic) = 2.2680857575679316 " " y[1] (numeric) = 2.268085757567934 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.78995631819185500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8721380794745951 " " Order of pole = 2.081664155695332 " " x[1] = 0.7010000000000005 " " y[1] (analytic) = 2.2689289011536484 " " y[1] (numeric) = 2.2689289011536506 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.78631832897591500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8711365385692752 " " Order of pole = 2.081664153423599 " " x[1] = 0.7020000000000005 " " y[1] (analytic) = 2.2697737570750314 " " y[1] (numeric) = 2.2697737570750336 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.78267566240485200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8701349976669102 " " Order of pole = 2.0816641512409824 " " x[1] = 0.7030000000000005 " " y[1] (analytic) = 2.2706203282278827 " " y[1] (numeric) = 2.270620328227885 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.77902831946929500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8691334567673538 " " Order of pole = 2.0816641491431156 " " x[1] = 0.7040000000000005 " " y[1] (analytic) = 2.2714686175187957 " " y[1] (numeric) = 2.271468617518798 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.77537630115173600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8681319158705446 " " Order of pole = 2.081664147128322 " " x[1] = 0.7050000000000005 " " y[1] (analytic) = 2.2723186278652032 " " y[1] (numeric) = 2.2723186278652054 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.77171960842646700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8671303749763315 " " Order of pole = 2.081664145192061 " " x[1] = 0.7060000000000005 " " y[1] (analytic) = 2.273170362195426 " " y[1] (numeric) = 2.2731703621954282 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.76805824225953700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.866128834084631 " " Order of pole = 2.0816641433319063 " " x[1] = 0.7070000000000005 " " y[1] (analytic) = 2.2740238234487222 " " y[1] (numeric) = 2.2740238234487244 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.76439220360869200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.865127293195354 " " Order of pole = 2.081664141545268 " " x[1] = 0.7080000000000005 " " y[1] (analytic) = 2.274879014575335 " " y[1] (numeric) = 2.2748790145753373 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.76072149342331900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8641257523083713 " " Order of pole = 2.08166413982827 " " x[1] = 0.7090000000000005 " " y[1] (analytic) = 2.275735938536543 " " y[1] (numeric) = 2.275735938536546 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.17084553351732780000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8631242114236188 " " Order of pole = 2.081664138179093 " " x[1] = 0.7100000000000005 " " y[1] (analytic) = 2.2765945983047113 " " y[1] (numeric) = 2.276594598304714 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.17040392746453340000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8621226705410115 " " Order of pole = 2.0816641365951867 " " x[1] = 0.7110000000000005 " " y[1] (analytic) = 2.2774549968633377 " " y[1] (numeric) = 2.2774549968633404 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16996176116329430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8611211296604238 " " Order of pole = 2.0816641350727814 " " x[1] = 0.7120000000000005 " " y[1] (analytic) = 2.2783171372071065 " " y[1] (numeric) = 2.278317137207109 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16951903472346170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8601195887818143 " " Order of pole = 2.0816641336107296 " " x[1] = 0.7130000000000005 " " y[1] (analytic) = 2.279181022341938 " " y[1] (numeric) = 2.2791810223419406 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16907574825384980000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8591180479051055 " " Order of pole = 2.0816641322067326 " " x[1] = 0.7140000000000005 " " y[1] (analytic) = 2.2800466552850382 " " y[1] (numeric) = 2.280046655285041 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16863190186223210000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8581165070302086 " " Order of pole = 2.081664130858144 " " x[1] = 0.7150000000000005 " " y[1] (analytic) = 2.280914039064952 " " y[1] (numeric) = 2.2809140390649545 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16818749565533260000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8571149661570252 " " Order of pole = 2.0816641295619327 " " x[1] = 0.7160000000000005 " " y[1] (analytic) = 2.2817831767216123 " " y[1] (numeric) = 2.281783176721615 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16774252973881970000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8561134252855205 " " Order of pole = 2.0816641283172004 " " x[1] = 0.7170000000000005 " " y[1] (analytic) = 2.282654071306394 " " y[1] (numeric) = 2.2826540713063967 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16729700421729930000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8551118844156512 " " Order of pole = 2.081664127122668 " " x[1] = 0.7180000000000005 " " y[1] (analytic) = 2.283526725882165 " " y[1] (numeric) = 2.283526725882168 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1668509191943090000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8541103435472948 " " Order of pole = 2.0816641259745587 " " x[1] = 0.7190000000000005 " " y[1] (analytic) = 2.2844011435233385 " " y[1] (numeric) = 2.2844011435233416 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.3608049872343620000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8531088026804092 " " Order of pole = 2.081664124871665 " " x[1] = 0.7200000000000005 " " y[1] (analytic) = 2.285277327315926 " " y[1] (numeric) = 2.285277327315929 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16595707105268080000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8521072618149655 " " Order of pole = 2.081664123813198 " " x[1] = 0.7210000000000005 " " y[1] (analytic) = 2.2861552803575895 " " y[1] (numeric) = 2.2861552803575926 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.35976085949166240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8511057209508819 " " Order of pole = 2.0816641227966564 " " x[1] = 0.7220000000000005 " " y[1] (analytic) = 2.287035005757697 " " y[1] (numeric) = 2.2870350057576996 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16506098612059180000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8501041800880921 " " Order of pole = 2.081664121819994 " " x[1] = 0.7230000000000005 " " y[1] (analytic) = 2.2879165066373726 " " y[1] (numeric) = 2.2879165066373752 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16461210510541420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.849102639226573 " " Order of pole = 2.081664120882632 " " x[1] = 0.7240000000000005 " " y[1] (analytic) = 2.2887997861295544 " " y[1] (numeric) = 2.2887997861295566 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.70135554322630400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8481010983662499 " " Order of pole = 2.081664119982232 " " x[1] = 0.7250000000000005 " " y[1] (analytic) = 2.289684847379045 " " y[1] (numeric) = 2.2896848473790476 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1637126664616810000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8470995575070683 " " Order of pole = 2.0816641191171676 " " x[1] = 0.7260000000000005 " " y[1] (analytic) = 2.29057169354257 " " y[1] (numeric) = 2.2905716935425726 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.16326210902372520000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8460980166490218 " " Order of pole = 2.081664118287307 " " x[1] = 0.7270000000000005 " " y[1] (analytic) = 2.2914603277888297 " " y[1] (numeric) = 2.2914603277888324 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1628109929668949000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8450964757920076 " " Order of pole = 2.0816641174894563 " " x[1] = 0.7280000000000005 " " y[1] (analytic) = 2.292350753298556 " " y[1] (numeric) = 2.292350753298558 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.68632765319715500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8440949349360524 " " Order of pole = 2.0816641167245606 " " x[1] = 0.7290000000000005 " " y[1] (analytic) = 2.293242973264566 " " y[1] (numeric) = 2.2932429732645683 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.68255904471115600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8430933940810472 " " Order of pole = 2.081664115989163 " " x[1] = 0.7300000000000005 " " y[1] (analytic) = 2.294136990891822 " " y[1] (numeric) = 2.294136990891824 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.67878578335088000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.842091853227015 " " Order of pole = 2.0816641152841235 " " x[1] = 0.7310000000000005 " " y[1] (analytic) = 2.295032809397483 " " y[1] (numeric) = 2.2950328093974854 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.67500786985807200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8410903123738703 " " Order of pole = 2.0816641146067383 " " x[1] = 0.7320000000000005 " " y[1] (analytic) = 2.295930432010965 " " y[1] (numeric) = 2.2959304320109677 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1605470365957720000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8400887715215906 " " Order of pole = 2.08166411395635 " " x[1] = 0.7330000000000005 " " y[1] (analytic) = 2.296829861973996 " " y[1] (numeric) = 2.2968298619739986 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.1600925707271839000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.839087230670152 " " Order of pole = 2.0816641133322733 " " x[1] = 0.7340000000000005 " " y[1] (analytic) = 2.297731102540673 " " y[1] (numeric) = 2.2977311025406757 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15963754686269240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8380856898194925 " " Order of pole = 2.081664112732536 " " x[1] = 0.7350000000000005 " " y[1] (analytic) = 2.2986341569775215 " " y[1] (numeric) = 2.298634156977524 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15918196508659660000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8370841489696179 " " Order of pole = 2.081664112157423 " " x[1] = 0.7360000000000005 " " y[1] (analytic) = 2.2995390285635513 " " y[1] (numeric) = 2.299539028563554 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15872582548199930000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8360826081204517 " " Order of pole = 2.081664111604489 " " x[1] = 0.7370000000000005 " " y[1] (analytic) = 2.300445720590316 " " y[1] (numeric) = 2.300445720590319 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15826912813080020000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8350810672720215 " " Order of pole = 2.0816641110747156 " " x[1] = 0.7380000000000005 " " y[1] (analytic) = 2.3013542363619726 " " y[1] (numeric) = 2.3013542363619752 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15781187311368760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.83407952642426 " " Order of pole = 2.0816641105659492 " " x[1] = 0.7390000000000005 " " y[1] (analytic) = 2.302264579195338 " " y[1] (numeric) = 2.3022645791953407 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15735406051013250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8330779855771313 " " Order of pole = 2.081664110077096 " " x[1] = 0.7400000000000005 " " y[1] (analytic) = 2.303176752419951 " " y[1] (numeric) = 2.303176752419953 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.64079741998649200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8320764447306488 " " Order of pole = 2.081664109608621 " " x[1] = 0.7410000000000005 " " y[1] (analytic) = 2.304090759378129 " " y[1] (numeric) = 2.3040907593781315 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.156436762855439900000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8310749038847343 " " Order of pole = 2.0816641091580195 " " x[1] = 0.7420000000000005 " " y[1] (analytic) = 2.3050066034250323 " " y[1] (numeric) = 2.305006603425035 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.15597727795708540000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8300733630394219 " " Order of pole = 2.081664108726514 " " x[1] = 0.7430000000000005 " " y[1] (analytic) = 2.3059242879287214 " " y[1] (numeric) = 2.3059242879287236 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.62931029814865100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8290718221946413 " " Order of pole = 2.0816641083117773 " " x[1] = 0.7440000000000005 " " y[1] (analytic) = 2.306843816270218 " " y[1] (numeric) = 2.30684381627022 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.62547196992471200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8280702813503846 " " Order of pole = 2.081664107913628 " " x[1] = 0.7450000000000006 " " y[1] (analytic) = 2.307765191843567 " " y[1] (numeric) = 2.3077651918435693 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.62162899890391900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8270687405066519 " " Order of pole = 2.08166410753212 " " x[1] = 0.7460000000000006 " " y[1] (analytic) = 2.3086884180558997 " " y[1] (numeric) = 2.308688418055902 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.61778138567570900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8260671996634029 " " Order of pole = 2.081664107165963 " " x[1] = 0.7470000000000006 " " y[1] (analytic) = 2.309613498327492 " " y[1] (numeric) = 2.309613498327494 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.6139291308188600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8250656588206102 " " Order of pole = 2.0816641068142907 " " x[1] = 0.7480000000000006 " " y[1] (analytic) = 2.3105404360918294 " " y[1] (numeric) = 2.3105404360918316 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.6100722349014300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8240641179782769 " " Order of pole = 2.0816641064772554 " " x[1] = 0.7490000000000006 " " y[1] (analytic) = 2.31146923479567 " " y[1] (numeric) = 2.311469234795672 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.60621069848068700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8230625771363562 " " Order of pole = 2.0816641061533403 " " x[1] = 0.7500000000000006 " " y[1] (analytic) = 2.312399897899106 " " y[1] (numeric) = 2.312399897899108 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.6023445221030500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8220610362948432 " " Order of pole = 2.0816641058424317 " " x[1] = 0.7510000000000006 " " y[1] (analytic) = 2.313332428875628 " " y[1] (numeric) = 2.31333242887563 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.59847370630402000000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8210594954537269 " " Order of pole = 2.081664105544192 " " x[1] = 0.7520000000000006 " " y[1] (analytic) = 2.314266831212189 " " y[1] (numeric) = 2.314266831212191 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5945982516081200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8200579546129919 " " Order of pole = 2.0816641052581524 " " x[1] = 0.7530000000000006 " " y[1] (analytic) = 2.315203108409268 " " y[1] (numeric) = 2.3152031084092703 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.59071815852881800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8190564137726303 " " Order of pole = 2.081664104984071 " " x[1] = 0.7540000000000006 " " y[1] (analytic) = 2.3161412639809367 " " y[1] (numeric) = 2.316141263980939 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5868334275684700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8180548729325867 " " Order of pole = 2.08166410472014 " " x[1] = 0.7550000000000006 " " y[1] (analytic) = 2.3170813014549214 " " y[1] (numeric) = 2.3170813014549236 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.5829440592182500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8170533320929096 " " Order of pole = 2.081664104468011 " " x[1] = 0.7560000000000006 " " y[1] (analytic) = 2.3180232243726713 " " y[1] (numeric) = 2.3180232243726735 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.57905005395808500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8160517912535413 " " Order of pole = 2.081664104225794 " " x[1] = 0.7570000000000006 " " y[1] (analytic) = 2.318967036289423 " " y[1] (numeric) = 2.318967036289425 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.57515141225658400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8150502504144734 " " Order of pole = 2.0816641039932193 " " x[1] = 0.7580000000000006 " " y[1] (analytic) = 2.319912740774266 " " y[1] (numeric) = 2.319912740774268 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.57124813457097500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8140487095756854 " " Order of pole = 2.0816641037696613 " " x[1] = 0.7590000000000006 " " y[1] (analytic) = 2.320860341410212 " " y[1] (numeric) = 2.3208603414102145 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.14808082656164420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8130471687372101 " " Order of pole = 2.0816641035562213 " " x[1] = 0.7600000000000006 " " y[1] (analytic) = 2.32180984179426 " " y[1] (numeric) = 2.3218098417942623 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.56342767301901600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.812045627898985 " " Order of pole = 2.081664103350832 " " x[1] = 0.7610000000000006 " " y[1] (analytic) = 2.322761245537464 " " y[1] (numeric) = 2.322761245537466 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55951049000959100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8110440870610137 " " Order of pole = 2.081664103153628 " " x[1] = 0.7620000000000006 " " y[1] (analytic) = 2.323714556265001 " " y[1] (numeric) = 2.3237145562650032 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55558867272977100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8100425462233223 " " Order of pole = 2.081664102965533 " " x[1] = 0.7630000000000006 " " y[1] (analytic) = 2.3246697776162404 " " y[1] (numeric) = 2.3246697776162426 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.55166222157884200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.809041005385836 " " Order of pole = 2.081664102784032 " " x[1] = 0.7640000000000006 " " y[1] (analytic) = 2.325626913244812 " " y[1] (numeric) = 2.325626913244814 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.54773113694429100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8080394645485959 " " Order of pole = 2.081664102610546 " " x[1] = 0.7650000000000006 " " y[1] (analytic) = 2.326585966818674 " " y[1] (numeric) = 2.326585966818677 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.14525545030420950000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8070379237115627 " " Order of pole = 2.0816641024437565 " " x[1] = 0.7660000000000006 " " y[1] (analytic) = 2.3275469420201866 " " y[1] (numeric) = 2.327546942020189 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53985506871489500000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8060363828747633 " " Order of pole = 2.08166410228462 " " x[1] = 0.7670000000000006 " " y[1] (analytic) = 2.3285098425461763 " " y[1] (numeric) = 2.3285098425461785 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.53591008583542100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8050348420381236 " " Order of pole = 2.0816641021306133 " " x[1] = 0.7680000000000006 " " y[1] (analytic) = 2.329474672108012 " " y[1] (numeric) = 2.329474672108014 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.62556837672234100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8040333012017128 " " Order of pole = 2.081664101984124 " " x[1] = 0.7690000000000006 " " y[1] (analytic) = 2.3304414344316724 " " y[1] (numeric) = 2.330441434431674 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.622404979395900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8030317603654811 " " Order of pole = 2.081664101843483 " " x[1] = 0.7700000000000006 " " y[1] (analytic) = 2.3314101332578185 " " y[1] (numeric) = 2.3314101332578208 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52404734617650200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8020302195294059 " " Order of pole = 2.081664101707908 " " x[1] = 0.7710000000000006 " " y[1] (analytic) = 2.3323807723418666 " " y[1] (numeric) = 2.332380772341869 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.52008383700075100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8010286786935117 " " Order of pole = 2.08166410157828 " " x[1] = 0.7720000000000006 " " y[1] (analytic) = 2.333353355454059 " " y[1] (numeric) = 2.333353355454061 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51611569700820400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.8000271378577957 " " Order of pole = 2.081664101454507 " " x[1] = 0.7730000000000006 " " y[1] (analytic) = 2.334327886379537 " " y[1] (numeric) = 2.334327886379539 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.51214292647700600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7990255970222043 " " Order of pole = 2.0816641013347805 " " x[1] = 0.7740000000000006 " " y[1] (analytic) = 2.3353043689184156 " " y[1] (numeric) = 2.3353043689184174 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.60653242053823100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.79802405618679 " " Order of pole = 2.081664101220916 " " x[1] = 0.7750000000000006 " " y[1] (analytic) = 2.3362828068858548 " " y[1] (numeric) = 2.336282806885857 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50418349484861300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7970225153515008 " " Order of pole = 2.0816641011111336 " " x[1] = 0.7760000000000006 " " y[1] (analytic) = 2.3372632041121366 " " y[1] (numeric) = 2.337263204112139 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.50019683424486600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7960209745163591 " " Order of pole = 2.0816641010062256 " " x[1] = 0.7770000000000006 " " y[1] (analytic) = 2.3382455644427376 " " y[1] (numeric) = 2.3382455644427393 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 7.59696443527136800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7950194336813498 " " Order of pole = 2.0816641009056696 " " x[1] = 0.7780000000000006 " " y[1] (analytic) = 2.3392298917384036 " " y[1] (numeric) = 2.339229891738406 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.49220962459651200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7940178928464516 " " Order of pole = 2.0816641008087693 " " x[1] = 0.7790000000000006 " " y[1] (analytic) = 2.3402161898752283 " " y[1] (numeric) = 2.3402161898752305 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48820907596874200000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7930163520116813 " " Order of pole = 2.081664100716111 " " x[1] = 0.7800000000000006 " " y[1] (analytic) = 2.341204462744726 " " y[1] (numeric) = 2.341204462744728 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48420389839492700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7920148111770452 " " Order of pole = 2.0816641006279077 " " x[1] = 0.7810000000000006 " " y[1] (analytic) = 2.34219471425391 " " y[1] (numeric) = 2.342194714253912 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.48019409205105700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7910132703425086 " " Order of pole = 2.0816641005429872 " " x[1] = 0.7820000000000006 " " y[1] (analytic) = 2.343186948325369 " " y[1] (numeric) = 2.3431869483253713 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.47617965710001700000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7900117295080714 " " Order of pole = 2.081664100461367 " " x[1] = 0.7830000000000006 " " y[1] (analytic) = 2.3441811688973453 " " y[1] (numeric) = 2.3441811688973475 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.47216059369150800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7890101886737456 " " Order of pole = 2.081664100383449 " " x[1] = 0.7840000000000006 " " y[1] (analytic) = 2.3451773799238116 " " y[1] (numeric) = 2.345177379923814 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.46813690196197100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7880086478395179 " " Order of pole = 2.0816641003087994 " " x[1] = 0.7850000000000006 " " y[1] (analytic) = 2.346175585374551 " " y[1] (numeric) = 2.3461755853745534 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4641085820345100000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7870071070053799 " " Order of pole = 2.081664100237134 " " x[1] = 0.7860000000000006 " " y[1] (analytic) = 2.347175789235235 " " y[1] (numeric) = 2.347175789235237 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.46007563401881600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7860055661713095 " " Order of pole = 2.0816641001676786 " " x[1] = 0.7870000000000006 " " y[1] (analytic) = 2.3481779955075033 " " y[1] (numeric) = 2.3481779955075055 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.45603805801108400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.785004025337347 " " Order of pole = 2.0816641001018716 " " x[1] = 0.7880000000000006 " " y[1] (analytic) = 2.349182208209044 " " y[1] (numeric) = 2.3491822082090463 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4519958540939400000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.784002484503479 " " Order of pole = 2.0816641000392337 " " x[1] = 0.7890000000000006 " " y[1] (analytic) = 2.3501884313736743 " " y[1] (numeric) = 2.3501884313736765 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4479490223363600000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7830009436696602 " " Order of pole = 2.0816640999781875 " " x[1] = 0.7900000000000006 " " y[1] (analytic) = 2.351196669051421 " " y[1] (numeric) = 2.3511966690514234 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.44389756279359300000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7819994028359404 " " Order of pole = 2.0816640999205127 " " x[1] = 0.7910000000000006 " " y[1] (analytic) = 2.352206925308603 " " y[1] (numeric) = 2.352206925308605 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.43984147550707900000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7809978620022868 " " Order of pole = 2.0816640998650406 " " x[1] = 0.7920000000000006 " " y[1] (analytic) = 2.353219204227912 " " y[1] (numeric) = 2.3532192042279143 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.43578076050436800000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7799963211686867 " " Order of pole = 2.0816640998113343 " " x[1] = 0.7930000000000006 " " y[1] (analytic) = 2.354233509908497 " " y[1] (numeric) = 2.3542335099084997 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13180585013588530000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7789947803351648 " " Order of pole = 2.0816640997602818 " " x[1] = 0.7940000000000006 " " y[1] (analytic) = 2.3552498464660467 " " y[1] (numeric) = 2.3552498464660494 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13131745368687680000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7779932395016963 " " Order of pole = 2.08166409971102 " " x[1] = 0.7950000000000006 " " y[1] (analytic) = 2.3562682180328727 " " y[1] (numeric) = 2.356268218032875 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 9.4235708492645610000000000000E-14 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7769916986683021 " " Order of pole = 2.081664099664277 " " x[1] = 0.7960000000000006 " " y[1] (analytic) = 2.3572886287579933 " " y[1] (numeric) = 2.357288628757996 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.13033899480703980000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7759901578349739 " " Order of pole = 2.0816640996197826 " " x[1] = 0.7970000000000006 " " y[1] (analytic) = 2.358311082807221 " " y[1] (numeric) = 2.358311082807224 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12984893236758230000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7749886170016911 " " Order of pole = 2.081664099576802 " " x[1] = 0.7980000000000006 " " y[1] (analytic) = 2.3593355843632446 " " y[1] (numeric) = 2.3593355843632478 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.31758470035089030000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7739870761684606 " " Order of pole = 2.0816640995355975 " " x[1] = 0.7990000000000006 " " y[1] (analytic) = 2.3603621376257182 " " y[1] (numeric) = 2.360362137625721 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12886714145509230000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7729855353352796 " " Order of pole = 2.0816640994960522 " " x[1] = 0.8000000000000006 " " y[1] (analytic) = 2.3613907468113444 " " y[1] (numeric) = 2.361390746811347 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.128375412963050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7719839945021465 " " Order of pole = 2.0816640994581412 " " x[1] = 0.8010000000000006 " " y[1] (analytic) = 2.362421416153964 " " y[1] (numeric) = 2.3624214161539667 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12788312909821780000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7709824536690473 " " Order of pole = 2.081664099421353 " " x[1] = 0.8020000000000006 " " y[1] (analytic) = 2.363454149904643 " " y[1] (numeric) = 2.3634541499046455 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12739028984669770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7699809128360161 " " Order of pole = 2.08166409938692 " " x[1] = 0.8030000000000006 " " y[1] (analytic) = 2.36448895233176 " " y[1] (numeric) = 2.3644889523317625 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12689689519281640000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7689793720030272 " " Order of pole = 2.0816640993539295 " " x[1] = 0.8040000000000006 " " y[1] (analytic) = 2.365525827721095 " " y[1] (numeric) = 2.365525827721098 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.3141367693056352000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7679778311700749 " " Order of pole = 2.0816640993221824 " " x[1] = 0.8050000000000006 " " y[1] (analytic) = 2.3665647803759216 " " y[1] (numeric) = 2.366564780375924 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.12590843960634050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7669762903371521 " " Order of pole = 2.0816640992914266 " " x[1] = 0.8060000000000006 " " y[1] (analytic) = 2.367605814617091 " " y[1] (numeric) = 2.367605814617094 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.31298227507233550000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7659747495042697 " " Order of pole = 2.081664099262049 " " x[1] = 0.8070000000000006 " " y[1] (analytic) = 2.368648934783129 " " y[1] (numeric) = 2.368648934783132 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.31240405587375930000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7649732086714167 " " Order of pole = 2.08166409923367 " " x[1] = 0.8080000000000006 " " y[1] (analytic) = 2.369694145230323 " " y[1] (numeric) = 2.369694145230326 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.31182518858284770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7639716678386167 " " Order of pole = 2.081664099207142 " " x[1] = 0.8090000000000006 " " y[1] (analytic) = 2.3707414503328152 " " y[1] (numeric) = 2.3707414503328184 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.3112456731686350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7629701270058497 " " Order of pole = 2.08166409918174 " " x[1] = 0.8100000000000006 " " y[1] (analytic) = 2.371790854482695 " " y[1] (numeric) = 2.371790854482698 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.31066550959800050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7619685861731219 " " Order of pole = 2.081664099157706 " " x[1] = 0.8110000000000006 " " y[1] (analytic) = 2.372842362090092 " " y[1] (numeric) = 2.372842362090095 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.31008469783565420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7609670453403976 " " Order of pole = 2.0816640991337465 " " x[1] = 0.8120000000000006 " " y[1] (analytic) = 2.3738959775832678 " " y[1] (numeric) = 2.3738959775832713 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.49657512896471670000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7599655045077103 " " Order of pole = 2.0816640991110695 " " x[1] = 0.8130000000000006 " " y[1] (analytic) = 2.374951705408713 " " y[1] (numeric) = 2.3749517054087166 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.49590986238143430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7589639636750635 " " Order of pole = 2.0816640990898208 " " x[1] = 0.8140000000000006 " " y[1] (analytic) = 2.3760095500312404 " " y[1] (numeric) = 2.376009550031244 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.49524385487162240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7579624228424358 " " Order of pole = 2.081664099069215 " " x[1] = 0.8150000000000006 " " y[1] (analytic) = 2.3770695159340804 " " y[1] (numeric) = 2.3770695159340836 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.3077549680867830000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7569608820098359 " " Order of pole = 2.0816640990495863 " " x[1] = 0.8160000000000006 " " y[1] (analytic) = 2.378131607618977 " " y[1] (numeric) = 2.3781316076189802 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.30717091475977740000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7559593411772412 " " Order of pole = 2.0816640990300854 " " x[1] = 0.8170000000000006 " " y[1] (analytic) = 2.3791958296062856 " " y[1] (numeric) = 2.3791958296062887 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.306586212983090200000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.754957800344682 " " Order of pole = 2.081664099011846 " " x[1] = 0.8180000000000006 " " y[1] (analytic) = 2.380262186435069 " " y[1] (numeric) = 2.3802621864350724 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.49257241452103170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7539562595121541 " " Order of pole = 2.081664098994704 " " x[1] = 0.8190000000000006 " " y[1] (analytic) = 2.3813306826631964 " " y[1] (numeric) = 2.3813306826632 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4919027015715730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7529547186796463 " " Order of pole = 2.081664098978262 " " x[1] = 0.8200000000000006 " " y[1] (analytic) = 2.3824013228674414 " " y[1] (numeric) = 2.382401322867445 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4912322473547320000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7519531778471419 " " Order of pole = 2.0816640989619124 " " x[1] = 0.8210000000000006 " " y[1] (analytic) = 2.3834741116435816 " " y[1] (numeric) = 2.383474111643585 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.49056105180460400000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7509516370146709 " " Order of pole = 2.0816640989467494 " " x[1] = 0.8220000000000006 " " y[1] (analytic) = 2.3845490536064986 " " y[1] (numeric) = 2.3845490536065026 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.67612525420922670000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7499500961822431 " " Order of pole = 2.081664098933139 " " x[1] = 0.8230000000000006 " " y[1] (analytic) = 2.3856261533902794 " " y[1] (numeric) = 2.385626153390283 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4892164364276610000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7489485553497967 " " Order of pole = 2.0816640989188144 " " x[1] = 0.8240000000000006 " " y[1] (analytic) = 2.386705415648315 " " y[1] (numeric) = 2.3867054156483185 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.48854301645578500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7479470145173804 " " Order of pole = 2.081664098905577 " " x[1] = 0.8250000000000006 " " y[1] (analytic) = 2.387786845053406 " " y[1] (numeric) = 2.3877868450534097 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.4878688548604680000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.746945473684956 " " Order of pole = 2.0816640988920057 " " x[1] = 0.8260000000000006 " " y[1] (analytic) = 2.388870446297863 " " y[1] (numeric) = 2.388870446297867 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.67309319550777000000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7459439328525808 " " Order of pole = 2.0816640988802106 " " x[1] = 0.8270000000000006 " " y[1] (analytic) = 2.3899562240936114 " " y[1] (numeric) = 2.389956224093615 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.48651830647980350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7449423920202065 " " Order of pole = 2.08166409886843 " " x[1] = 0.8280000000000006 " " y[1] (analytic) = 2.3910441831722933 " " y[1] (numeric) = 2.3910441831722973 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.67157215946877520000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7439408511878409 " " Order of pole = 2.081664098856944 " " x[1] = 0.8290000000000006 " " y[1] (analytic) = 2.3921343282853753 " " y[1] (numeric) = 2.3921343282853793 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.67081038944638880000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7429393103555071 " " Order of pole = 2.0816640988466055 " " x[1] = 0.8300000000000006 " " y[1] (analytic) = 2.393226664204251 " " y[1] (numeric) = 2.3932266642042554 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.85560864957905050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7419377695231759 " " Order of pole = 2.0816640988363453 " " x[1] = 0.8310000000000006 " " y[1] (analytic) = 2.39432119572035 " " y[1] (numeric) = 2.3943211957203543 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.85476038320938370000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.740936228690863 " " Order of pole = 2.0816640988267316 " " x[1] = 0.8320000000000006 " " y[1] (analytic) = 2.3954179276452425 " " y[1] (numeric) = 2.3954179276452465 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6685200701405470000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7399346878585519 " " Order of pole = 2.081664098817182 " " x[1] = 0.8330000000000006 " " y[1] (analytic) = 2.3965168648107475 " " y[1] (numeric) = 2.396516864810752 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.85306106696283250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7389331470262517 " " Order of pole = 2.0816640988080124 " " x[1] = 0.8340000000000006 " " y[1] (analytic) = 2.397618012069044 " " y[1] (numeric) = 2.397618012069048 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6669890151523720000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7379316061939687 " " Order of pole = 2.0816640987994646 " " x[1] = 0.8350000000000006 " " y[1] (analytic) = 2.3987213742927747 " " y[1] (numeric) = 2.3987213742927787 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.66622223468074040000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7369300653617017 " " Order of pole = 2.0816640987914887 " " x[1] = 0.8360000000000006 " " y[1] (analytic) = 2.399826956375161 " " y[1] (numeric) = 2.399826956375165 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6654546187311642000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7359285245294284 " " Order of pole = 2.0816640987832606 " " x[1] = 0.8370000000000006 " " y[1] (analytic) = 2.400934763230111 " " y[1] (numeric) = 2.400934763230115 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.66468616717992070000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7349269836971751 " " Order of pole = 2.0816640987757786 " " x[1] = 0.8380000000000006 " " y[1] (analytic) = 2.4020447997923315 " " y[1] (numeric) = 2.4020447997923355 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.66391687990003620000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7339254428649308 " " Order of pole = 2.081664098768595 " " x[1] = 0.8390000000000006 " " y[1] (analytic) = 2.4031570710174397 " " y[1] (numeric) = 2.403157071017444 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.84794084084585360000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7329239020327002 " " Order of pole = 2.081664098761923 " " x[1] = 0.8400000000000006 " " y[1] (analytic) = 2.4042715818820777 " " y[1] (numeric) = 2.404271581882082 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.84708421958898280000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7319223612004596 " " Order of pole = 2.0816640987548496 " " x[1] = 0.8410000000000006 " " y[1] (analytic) = 2.4053883373840237 " " y[1] (numeric) = 2.405388337384028 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.84622666929960700000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7309208203682421 " " Order of pole = 2.081664098748643 " " x[1] = 0.8420000000000006 " " y[1] (analytic) = 2.4065073425423082 " " y[1] (numeric) = 2.406507342542313 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02990500880418870000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7299192795360332 " " Order of pole = 2.081664098742742 " " x[1] = 0.8430000000000006 " " y[1] (analytic) = 2.4076286023973297 " " y[1] (numeric) = 2.4076286023973346 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.0289596590963420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7289177387038183 " " Order of pole = 2.0816640987365957 " " x[1] = 0.8440000000000006 " " y[1] (analytic) = 2.408752122010969 " " y[1] (numeric) = 2.408752122010974 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02801328692651720000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7279161978716372 " " Order of pole = 2.0816640987317285 " " x[1] = 0.8450000000000006 " " y[1] (analytic) = 2.4098779064667077 " " y[1] (numeric) = 2.4098779064667126 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02706589211106760000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.726914657039447 " " Order of pole = 2.0816640987264954 " " x[1] = 0.8460000000000006 " " y[1] (analytic) = 2.4110059608697445 " " y[1] (numeric) = 2.4110059608697494 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02611747446218850000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7259131162072457 " " Order of pole = 2.0816640987208253 " " x[1] = 0.8470000000000006 " " y[1] (analytic) = 2.412136290347115 " " y[1] (numeric) = 2.4121362903471195 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.84106184889808430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7249115753750744 " " Order of pole = 2.0816640987162955 " " x[1] = 0.8480000000000006 " " y[1] (analytic) = 2.4132689000478096 " " y[1] (numeric) = 2.4132689000478145 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02421756989198840000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7239100345428917 " " Order of pole = 2.081664098711304 " " x[1] = 0.8490000000000006 " " y[1] (analytic) = 2.414403795142895 " " y[1] (numeric) = 2.4144037951429 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02326608257405170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7229084937107252 " " Order of pole = 2.0816640987069306 " " x[1] = 0.8500000000000006 " " y[1] (analytic) = 2.4155409808256354 " " y[1] (numeric) = 2.4155409808256403 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02231357162940580000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7219069528785649 " " Order of pole = 2.0816640987027704 " " x[1] = 0.8510000000000006 " " y[1] (analytic) = 2.4166804623116116 " " y[1] (numeric) = 2.4166804623116165 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02136003684909550000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7209054120463977 " " Order of pole = 2.081664098698358 " " x[1] = 0.8520000000000006 " " y[1] (analytic) = 2.4178222448388467 " " y[1] (numeric) = 2.4178222448388516 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.02040547801986330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7199038712142677 " " Order of pole = 2.081664098695345 " " x[1] = 0.8530000000000006 " " y[1] (analytic) = 2.418966333667928 " " y[1] (numeric) = 2.4189663336679335 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.20303624900813430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7189023303821269 " " Order of pole = 2.0816640986919133 " " x[1] = 0.8540000000000006 " " y[1] (analytic) = 2.420112734082134 " " y[1] (numeric) = 2.4201127340821387 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.01849328733993700000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7179007895499712 " " Order of pole = 2.0816640986879023 " " x[1] = 0.8550000000000006 " " y[1] (analytic) = 2.421261451387553 " " y[1] (numeric) = 2.4212614513875583 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.20094798731744530000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7168992487178243 " " Order of pole = 2.0816640986842216 " " x[1] = 0.8560000000000006 " " y[1] (analytic) = 2.4224124909132185 " " y[1] (numeric) = 2.422412490913224 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.19990217941444000000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7158977078856978 " " Order of pole = 2.0816640986813155 " " x[1] = 0.8570000000000007 " " y[1] (analytic) = 2.4235658580112287 " " y[1] (numeric) = 2.423565858011234 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.1988552531325770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7148961670535624 " " Order of pole = 2.0816640986780506 " " x[1] = 0.8580000000000007 " " y[1] (analytic) = 2.424721558056878 " " y[1] (numeric) = 2.4247215580568833 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.19780720821047960000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7138946262214432 " " Order of pole = 2.0816640986754145 " " x[1] = 0.8590000000000007 " " y[1] (analytic) = 2.4258795964487843 " " y[1] (numeric) = 2.42587959644879 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3798212147470438000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7128930853893244 " " Order of pole = 2.0816640986727926 " " x[1] = 0.8600000000000007 " " y[1] (analytic) = 2.427039978609021 " " y[1] (numeric) = 2.4270399786090264 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.1957077613756220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.711891544557206 " " Order of pole = 2.0816640986701707 " " x[1] = 0.8610000000000007 " " y[1] (analytic) = 2.428202709983244 " " y[1] (numeric) = 2.4282027099832497 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3775443888252032000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7108900037250835 " " Order of pole = 2.081664098667382 " " x[1] = 0.8620000000000007 " " y[1] (analytic) = 2.429367796040827 " " y[1] (numeric) = 2.429367796040833 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.37640415644737260000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7098884628929943 " " Order of pole = 2.0816640986659003 " " x[1] = 0.8630000000000007 " " y[1] (analytic) = 2.4305352422749915 " " y[1] (numeric) = 2.4305352422749973 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.375262710713510000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7088869220608555 " " Order of pole = 2.0816640986624577 " " x[1] = 0.8640000000000007 " " y[1] (analytic) = 2.431705054202941 " " y[1] (numeric) = 2.4317050542029466 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3741200513082490000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7078853812287483 " " Order of pole = 2.081664098660255 " " x[1] = 0.8650000000000007 " " y[1] (analytic) = 2.432877237365995 " " y[1] (numeric) = 2.4328772373660006 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3729761779107460000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7068838403966421 " " Order of pole = 2.0816640986580808 " " x[1] = 0.8660000000000007 " " y[1] (analytic) = 2.4340517973297255 " " y[1] (numeric) = 2.4340517973297313 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.37183109019465150000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7058822995645365 " " Order of pole = 2.0816640986559243 " " x[1] = 0.8670000000000007 " " y[1] (analytic) = 2.435228739684092 " " y[1] (numeric) = 2.4352287396840984 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5530451561225430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7048807587324377 " " Order of pole = 2.0816640986540307 " " x[1] = 0.8680000000000007 " " y[1] (analytic) = 2.43640807004358 " " y[1] (numeric) = 2.436408070043586 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.55180936820229350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7038792179003419 " " Order of pole = 2.081664098652247 " " x[1] = 0.8690000000000007 " " y[1] (analytic) = 2.4375897940473377 " " y[1] (numeric) = 2.4375897940473434 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.3683885377880360000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7028776770682441 " " Order of pole = 2.081664098650375 " " x[1] = 0.8700000000000007 " " y[1] (analytic) = 2.4387739173593155 " " y[1] (numeric) = 2.4387739173593217 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.549333865532260000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7018761362361576 " " Order of pole = 2.0816640986489574 " " x[1] = 0.8710000000000007 " " y[1] (analytic) = 2.4399604456684085 " " y[1] (numeric) = 2.4399604456684147 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.54809415002533350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.7008745954040688 " " Order of pole = 2.0816640986474297 " " x[1] = 0.8720000000000007 " " y[1] (analytic) = 2.4411493846885945 " " y[1] (numeric) = 2.4411493846886008 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5468531245554970000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6998730545719692 " " Order of pole = 2.0816640986454864 " " x[1] = 0.8730000000000007 " " y[1] (analytic) = 2.442340740159078 " " y[1] (numeric) = 2.4423407401590844 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.54561078872881800000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6988715137398732 " " Order of pole = 2.0816640986436887 " " x[1] = 0.8740000000000007 " " y[1] (analytic) = 2.4435345178444345 " " y[1] (numeric) = 2.4435345178444408 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.54436714214515250000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6978699729077933 " " Order of pole = 2.081664098642502 " " x[1] = 0.8750000000000007 " " y[1] (analytic) = 2.444730723534751 " " y[1] (numeric) = 2.4447307235347577 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.72477376899797840000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6968684320757127 " " Order of pole = 2.0816640986412835 " " x[1] = 0.8760000000000007 " " y[1] (analytic) = 2.445929363045777 " " y[1] (numeric) = 2.4459293630457832 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.5418759150750330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.69586689124363 " " Order of pole = 2.081664098639987 " " x[1] = 0.8770000000000007 " " y[1] (analytic) = 2.4471304422190645 " " y[1] (numeric) = 2.447130442219071 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7221017861681374000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6948653504115613 " " Order of pole = 2.0816640986392514 " " x[1] = 0.8780000000000007 " " y[1] (analytic) = 2.4483339669221214 " " y[1] (numeric) = 2.448333966922128 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.72076368573406670000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.693863809579482 " " Order of pole = 2.081664098638079 " " x[1] = 0.8790000000000007 " " y[1] (analytic) = 2.4495399430485554 " " y[1] (numeric) = 2.449539943048562 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7194241786727610000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6928622687474082 " " Order of pole = 2.081664098637134 " " x[1] = 0.8800000000000007 " " y[1] (analytic) = 2.4507483765182263 " " y[1] (numeric) = 2.4507483765182334 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.8992888154824240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6918607279153212 " " Order of pole = 2.081664098635656 " " x[1] = 0.8810000000000007 " " y[1] (analytic) = 2.4519592732773967 " " y[1] (numeric) = 2.4519592732774034 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 2.7167409427837280000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6908591870832468 " " Order of pole = 2.081664098634672 " " x[1] = 0.8820000000000007 " " y[1] (analytic) = 2.453172639298881 " " y[1] (numeric) = 2.453172639298888 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.89642369386271140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6898576462511601 " " Order of pole = 2.0816640986331976 " " x[1] = 0.8830000000000007 " " y[1] (analytic) = 2.4543884805822014 " " y[1] (numeric) = 2.454388480582209 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.0759256846170730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6888561054190867 " " Order of pole = 2.0816640986322525 " " x[1] = 0.8840000000000007 " " y[1] (analytic) = 2.4556068031537412 " " y[1] (numeric) = 2.455606803153749 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.0743995975883450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6878545645870295 " " Order of pole = 2.081664098631954 " " x[1] = 0.8850000000000007 " " y[1] (analytic) = 2.4568276130668987 " " y[1] (numeric) = 2.4568276130669062 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.0728719130712140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6868530237549576 " " Order of pole = 2.081664098631066 " " x[1] = 0.8860000000000007 " " y[1] (analytic) = 2.4580509164022435 " " y[1] (numeric) = 2.4580509164022515 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.252009844043860000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6858514829228745 " " Order of pole = 2.081664098629723 " " x[1] = 0.8870000000000007 " " y[1] (analytic) = 2.459276719267676 " " y[1] (numeric) = 2.459276719267684 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.25038891096462900000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6848499420908216 " " Order of pole = 2.081664098629602 " " x[1] = 0.8880000000000007 " " y[1] (analytic) = 2.460505027798584 " " y[1] (numeric) = 2.460505027798592 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.24876628455948060000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6838484012587475 " " Order of pole = 2.0816640986286004 " " x[1] = 0.8890000000000007 " " y[1] (analytic) = 2.4617358481580025 " " y[1] (numeric) = 2.46173584815801 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.06674518840029100000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.682846860426674 " " Order of pole = 2.0816640986276482 " " x[1] = 0.8900000000000007 " " y[1] (analytic) = 2.462969186536775 " " y[1] (numeric) = 2.4629691865367827 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 3.0652095075807970000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6818453195946141 " " Order of pole = 2.0816640986272326 " " x[1] = 0.8910000000000007 " " y[1] (analytic) = 2.4642050491537164 " " y[1] (numeric) = 2.4642050491537244 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.24388823894601500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6808437787625498 " " Order of pole = 2.0816640986266393 " " x[1] = 0.8920000000000007 " " y[1] (analytic) = 2.465443442255775 " " y[1] (numeric) = 2.465443442255783 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 3.242258832750720000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6798422379304955 " " Order of pole = 2.0816640986264545 " " x[1] = 0.8930000000000007 " " y[1] (analytic) = 2.466684372118197 " " y[1] (numeric) = 2.4666843721182055 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.4206626038278060000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6788406970984152 " " Order of pole = 2.0816640986252146 " " x[1] = 0.8940000000000007 " " y[1] (analytic) = 2.4679278450446933 " " y[1] (numeric) = 2.4679278450447018 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.41893909260478630000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6778391562663532 " " Order of pole = 2.0816640986246995 " " x[1] = 0.8950000000000007 " " y[1] (analytic) = 2.4691738673676054 " " y[1] (numeric) = 2.469173867367614 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.41721378905838100000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6768376154342872 " " Order of pole = 2.081664098624028 " " x[1] = 0.8960000000000007 " " y[1] (analytic) = 2.470422445448074 " " y[1] (numeric) = 2.4704224454480825 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 3.41548669244737150000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6758360746022437 " " Order of pole = 2.0816640986242803 " " x[1] = 0.8970000000000007 " " y[1] (analytic) = 2.471673585676208 " " y[1] (numeric) = 2.471673585676217 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5934292652851840000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6748345337701688 " " Order of pole = 2.08166409862325 " " x[1] = 0.8980000000000007 " " y[1] (analytic) = 2.472927294471256 " " y[1] (numeric) = 2.472927294471265 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5916074915984510000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6738329929381122 " " Order of pole = 2.081664098622955 " " x[1] = 0.8990000000000007 " " y[1] (analytic) = 2.474183578281777 " " y[1] (numeric) = 2.474183578281786 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5897838280736233000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.672831452106046 " " Order of pole = 2.081664098622273 " " x[1] = 0.9000000000000007 " " y[1] (analytic) = 2.4754424435858153 " " y[1] (numeric) = 2.475442443585824 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.5879582738896150000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6718299112739798 " " Order of pole = 2.081664098621598 " " x[1] = 0.9010000000000007 " " y[1] (analytic) = 2.4767038968910726 " " y[1] (numeric) = 2.476703896891082 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.765437369625730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6708283704419286 " " Order of pole = 2.081664098621527 " " x[1] = 0.9020000000000007 " " y[1] (analytic) = 2.477967944735087 " " y[1] (numeric) = 2.477967944735096 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.58430149020784850000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6698268296098652 " " Order of pole = 2.081664098620955 " " x[1] = 0.9030000000000007 " " y[1] (analytic) = 2.4792345936854066 " " y[1] (numeric) = 2.479234593685416 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.7615937719666587000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6688252887778027 " " Order of pole = 2.081664098620408 " " x[1] = 0.9040000000000007 " " y[1] (analytic) = 2.480503850339771 " " y[1] (numeric) = 2.4805038503397805 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.75966899046493660000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6678237479457418 " " Order of pole = 2.0816640986199495 " " x[1] = 0.9050000000000007 " " y[1] (analytic) = 2.48177572132629 " " y[1] (numeric) = 2.4817757213262994 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.7577422192958910000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.666822207113698 " " Order of pole = 2.0816640986201804 " " x[1] = 0.9060000000000007 " " y[1] (analytic) = 2.483050213303623 " " y[1] (numeric) = 2.483050213303633 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.93466171741357450000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6658206662816414 " " Order of pole = 2.0816640986198856 " " x[1] = 0.9070000000000007 " " y[1] (analytic) = 2.4843273329611657 " " y[1] (numeric) = 2.4843273329611755 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.9326390234801230000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6648191254495759 " " Order of pole = 2.0816640986192283 " " x[1] = 0.9080000000000007 " " y[1] (analytic) = 2.485607087019229 " " y[1] (numeric) = 2.485607087019239 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.9306142421800210000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6638175846175136 " " Order of pole = 2.081664098618692 " " x[1] = 0.9090000000000007 " " y[1] (analytic) = 2.486889482229228 " " y[1] (numeric) = 2.486889482229238 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.1071595258007390000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6628160437854572 " " Order of pole = 2.0816640986184005 " " x[1] = 0.9100000000000007 " " y[1] (analytic) = 2.488174525373867 " " y[1] (numeric) = 2.488174525373877 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.10503834131840160000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6618145029534198 " " Order of pole = 2.0816640986188943 " " x[1] = 0.9110000000000007 " " y[1] (analytic) = 2.4894622232673287 " " y[1] (numeric) = 2.489462223267339 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.102914971389230000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6608129621213515 " " Order of pole = 2.0816640986181127 " " x[1] = 0.9120000000000007 " " y[1] (analytic) = 2.4907525827554626 " " y[1] (numeric) = 2.490752582755473 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.10078941492128000000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6598114212893045 " " Order of pole = 2.0816640986182087 " " x[1] = 0.9130000000000007 " " y[1] (analytic) = 2.492045610715977 " " y[1] (numeric) = 2.492045610715987 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.09866167080982600000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6588098804572581 " " Order of pole = 2.0816640986183366 " " x[1] = 0.9140000000000007 " " y[1] (analytic) = 2.49334131405863 " " y[1] (numeric) = 2.49334131405864 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0965317379372884000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6578083396251867 " " Order of pole = 2.0816640986174235 " " x[1] = 0.9150000000000007 " " y[1] (analytic) = 2.494639699725425 " " y[1] (numeric) = 2.494639699725435 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0943996151731490000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6568067987931289 " " Order of pole = 2.081664098617061 " " x[1] = 0.9160000000000007 " " y[1] (analytic) = 2.4959407746908058 " " y[1] (numeric) = 2.495940774690816 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0922653013738860000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.655805257961077 " " Order of pole = 2.081664098616958 " " x[1] = 0.9170000000000007 " " y[1] (analytic) = 2.4972445459618524 " " y[1] (numeric) = 2.4972445459618626 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.09012879538288850000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6548037171290312 " " Order of pole = 2.0816640986171073 " " x[1] = 0.9180000000000007 " " y[1] (analytic) = 2.4985510205784807 " " y[1] (numeric) = 2.498551020578491 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.08799009603038550000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6538021762969818 " " Order of pole = 2.0816640986171073 " " x[1] = 0.9190000000000007 " " y[1] (analytic) = 2.499860205613642 " " y[1] (numeric) = 2.499860205613652 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.90820358464930240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6528006354649275 " " Order of pole = 2.081664098616912 " " x[1] = 0.9200000000000007 " " y[1] (analytic) = 2.501172108173523 " " y[1] (numeric) = 2.501172108173533 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.08370611249548770000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.651799094632864 " " Order of pole = 2.081664098616315 " " x[1] = 0.9210000000000007 " " y[1] (analytic) = 2.502486735397752 " " y[1] (numeric) = 2.502486735397762 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0815608259070324000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6507975538008047 " " Order of pole = 2.0816640986158816 " " x[1] = 0.9220000000000007 " " y[1] (analytic) = 2.5038040944596 " " y[1] (numeric) = 2.50380409445961 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.07941334114478900000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6497960129687727 " " Order of pole = 2.081664098616624 " " x[1] = 0.9230000000000007 " " y[1] (analytic) = 2.5051241925661896 " " y[1] (numeric) = 2.5051241925662 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.07726365697199560000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6487944721367077 " " Order of pole = 2.0816640986159705 " " x[1] = 0.9240000000000007 " " y[1] (analytic) = 2.506447036958701 " " y[1] (numeric) = 2.5064470369587113 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0751117721382507000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6477929313046495 " " Order of pole = 2.081664098615594 " " x[1] = 0.9250000000000007 " " y[1] (analytic) = 2.507772634912582 " " y[1] (numeric) = 2.5077726349125924 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0729576853794364000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6467913904726135 " " Order of pole = 2.081664098616148 " " x[1] = 0.9260000000000007 " " y[1] (analytic) = 2.5091009937377593 " " y[1] (numeric) = 2.5091009937377695 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.0708013954176330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6457898496405549 " " Order of pole = 2.0816640986157715 " " x[1] = 0.9270000000000007 " " y[1] (analytic) = 2.5104321207788503 " " y[1] (numeric) = 2.5104321207788605 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.06864290096104140000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6447883088085087 " " Order of pole = 2.0816640986158923 " " x[1] = 0.9280000000000007 " " y[1] (analytic) = 2.5117660234153782 " " y[1] (numeric) = 2.5117660234153885 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 4.06648220070389530000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6437867679764563 " " Order of pole = 2.081664098615775 " " x[1] = 0.9290000000000007 " " y[1] (analytic) = 2.5131027090619873 " " y[1] (numeric) = 2.513102709061998 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.24102882781883630000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6427852271443991 " " Order of pole = 2.081664098615434 " " x[1] = 0.9300000000000007 " " y[1] (analytic) = 2.5144421851686616 " " y[1] (numeric) = 2.5144421851686722 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2387695765160670000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6417836863123515 " " Order of pole = 2.081664098615512 " " x[1] = 0.9310000000000007 " " y[1] (analytic) = 2.515784459220942 " " y[1] (numeric) = 2.515784459220953 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2365080193324620000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6407821454802892 " " Order of pole = 2.0816640986149615 " " x[1] = 0.9320000000000007 " " y[1] (analytic) = 2.517129538740151 " " y[1] (numeric) = 2.5171295387401615 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2342441548463217000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6397806046482388 " " Order of pole = 2.081664098614908 " " x[1] = 0.9330000000000007 " " y[1] (analytic) = 2.518477431283611 " " y[1] (numeric) = 2.5184774312836216 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2319779816209390000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.638779063816196 " " Order of pole = 2.0816640986151924 " " x[1] = 0.9340000000000007 " " y[1] (analytic) = 2.5198281444448725 " " y[1] (numeric) = 2.519828144444883 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2297094982045020000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6377775229841463 " " Order of pole = 2.0816640986151747 " " x[1] = 0.9350000000000007 " " y[1] (analytic) = 2.521181685853939 " " y[1] (numeric) = 2.5211816858539495 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2274387031300080000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6367759821520794 " " Order of pole = 2.081664098614411 " " x[1] = 0.9360000000000007 " " y[1] (analytic) = 2.5225380631774947 " " y[1] (numeric) = 2.5225380631775054 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.2251655949151706000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6357744413200316 " " Order of pole = 2.081664098614482 " " x[1] = 0.9370000000000007 " " y[1] (analytic) = 2.523897284119135 " " y[1] (numeric) = 2.523897284119146 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.22289017206233000000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6347729004879891 " " Order of pole = 2.0816640986147803 " " x[1] = 0.9380000000000007 " " y[1] (analytic) = 2.5252593564195984 " " y[1] (numeric) = 2.525259356419609 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.22061243305835800000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6337713596559281 " " Order of pole = 2.0816640986142723 " " x[1] = 0.9390000000000007 " " y[1] (analytic) = 2.5266242878569987 " " y[1] (numeric) = 2.5266242878570098 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.39409622539017050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6327698188238867 " " Order of pole = 2.0816640986146133 " " x[1] = 0.9400000000000007 " " y[1] (analytic) = 2.5279920862470626 " " y[1] (numeric) = 2.5279920862470733 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 4.21605000046660500000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6317682779918473 " " Order of pole = 2.081664098615061 " " x[1] = 0.9410000000000007 " " y[1] (analytic) = 2.529362759443364 " " y[1] (numeric) = 2.529362759443375 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.38933885809832560000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6307667371597929 " " Order of pole = 2.0816640986148336 " " x[1] = 0.9420000000000007 " " y[1] (analytic) = 2.5307363153375673 " " y[1] (numeric) = 2.5307363153375784 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.38695654658540430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.629765196327723 " " Order of pole = 2.0816640986139276 " " x[1] = 0.9430000000000007 " " y[1] (analytic) = 2.5321127618596635 " " y[1] (numeric) = 2.5321127618596746 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.38457181428908270000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.628763655495682 " " Order of pole = 2.08166409861429 " " x[1] = 0.9440000000000007 " " y[1] (analytic) = 2.5334921069782173 " " y[1] (numeric) = 2.533492106978229 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5574720459158320000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6277621146636222 " " Order of pole = 2.0816640986138424 " " x[1] = 0.9450000000000007 " " y[1] (analytic) = 2.5348743587006104 " " y[1] (numeric) = 2.5348743587006215 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.3797950806298050000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6267605738315755 " " Order of pole = 2.081664098613949 " " x[1] = 0.9460000000000007 " " y[1] (analytic) = 2.536259525073287 " " y[1] (numeric) = 2.536259525073298 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.377403075866520000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6257590329995258 " " Order of pole = 2.0816640986139383 " " x[1] = 0.9470000000000007 " " y[1] (analytic) = 2.5376476141820055 " " y[1] (numeric) = 2.5376476141820166 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 4.375008643518970000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.624757492167481 " " Order of pole = 2.08166409861413 " " x[1] = 0.9480000000000007 " " y[1] (analytic) = 2.539038634152087 " " y[1] (numeric) = 2.5390386341520985 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5475162531181910000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6237559513354255 " " Order of pole = 2.08166409861386 " " x[1] = 0.9490000000000007 " " y[1] (analytic) = 2.5404325931486698 " " y[1] (numeric) = 2.5404325931486813 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.54502098864621230000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6227544105033797 " " Order of pole = 2.0816640986140094 " " x[1] = 0.9500000000000007 " " y[1] (analytic) = 2.5418294993769632 " " y[1] (numeric) = 2.5418294993769748 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5425231939954220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6217528696713301 " " Order of pole = 2.0816640986140094 " " x[1] = 0.9510000000000007 " " y[1] (analytic) = 2.543229361082505 " " y[1] (numeric) = 2.5432293610825165 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.54002286729932650000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6207513288392774 " " Order of pole = 2.0816640986138566 " " x[1] = 0.9520000000000007 " " y[1] (analytic) = 2.54463218655142 " " y[1] (numeric) = 2.5446321865514316 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5375200066731960000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6197497880072385 " " Order of pole = 2.081664098614322 " " x[1] = 0.9530000000000007 " " y[1] (analytic) = 2.5460379841106824 " " y[1] (numeric) = 2.546037984110694 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.53501461021395440000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.618748247175183 " " Order of pole = 2.0816640986140413 " " x[1] = 0.9540000000000007 " " y[1] (analytic) = 2.547446762128377 " " y[1] (numeric) = 2.5474467621283887 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.53250667600006900000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6177467063431327 " " Order of pole = 2.0816640986140023 " " x[1] = 0.9550000000000007 " " y[1] (analytic) = 2.5488585290139674 " " y[1] (numeric) = 2.548858529013979 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 4.5299962020914330000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6167451655110759 " " Order of pole = 2.0816640986136683 " " x[1] = 0.9560000000000007 " " y[1] (analytic) = 2.55027329321856 " " y[1] (numeric) = 2.550273293218572 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 4.7016171552419206000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6157436246790214 " " Order of pole = 2.081664098613434 " " x[1] = 0.9570000000000007 " " y[1] (analytic) = 2.5516910632351775 " " y[1] (numeric) = 2.5516910632351895 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 4.6990048437719480000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6147420838469844 " " Order of pole = 2.081664098613981 " " x[1] = 0.9580000000000007 " " y[1] (analytic) = 2.553111847599028 " " y[1] (numeric) = 2.55311184759904 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 4.6963898887655820000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6137405430149279 " " Order of pole = 2.0816640986136576 " " x[1] = 0.9590000000000007 " " y[1] (analytic) = 2.554535654887781 " " y[1] (numeric) = 2.554535654887793 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 4.6937722881297667000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6127390021828836 " " Order of pole = 2.081664098613892 " " x[1] = 0.9600000000000007 " " y[1] (analytic) = 2.555962493721842 " " y[1] (numeric) = 2.555962493721854 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 4.6911520397515544000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6117374613508331 " " Order of pole = 2.0816640986138353 " " x[1] = 0.9610000000000007 " " y[1] (analytic) = 2.5573923727646326 " " y[1] (numeric) = 2.557392372764645 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 4.8621783689608866000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6107359205187799 " " Order of pole = 2.081664098613661 " " x[1] = 0.9620000000000007 " " y[1] (analytic) = 2.558825300722872 " " y[1] (numeric) = 2.558825300722884 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 4.6859035912160096000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6097343796867415 " " Order of pole = 2.0816640986141515 " " x[1] = 0.9630000000000007 " " y[1] (analytic) = 2.5602612863468575 " " y[1] (numeric) = 2.56026128634687 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 4.8567300306852980000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.60873283885468 " " Order of pole = 2.0816640986136044 " " x[1] = 0.9640000000000007 " " y[1] (analytic) = 2.5617003384307537 " " y[1] (numeric) = 2.561700338430766 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 4.8540017305142240000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.607731298022635 " " Order of pole = 2.0816640986137998 " " x[1] = 0.9650000000000007 " " y[1] (analytic) = 2.563142465812877 " " y[1] (numeric) = 2.56314246581289 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0245303401687780000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6067297571905866 " " Order of pole = 2.0816640986138424 " " x[1] = 0.9660000000000007 " " y[1] (analytic) = 2.56458767737599 " " y[1] (numeric) = 2.564587677376003 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0216988872179270000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6057282163585307 " " Order of pole = 2.0816640986135404 " " x[1] = 0.9670000000000007 " " y[1] (analytic) = 2.5660359820475893 " " y[1] (numeric) = 2.566035982047602 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0188645739001850000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.604726675526483 " " Order of pole = 2.081664098613615 " " x[1] = 0.9680000000000007 " " y[1] (analytic) = 2.5674873888002048 " " y[1] (numeric) = 2.5674873888002177 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0160273977704020000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6037251346944329 " " Order of pole = 2.081664098613583 " " x[1] = 0.9690000000000007 " " y[1] (analytic) = 2.568941906651695 " " y[1] (numeric) = 2.568941906651708 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0131873563608510000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6027235938623815 " " Order of pole = 2.0816640986134836 " " x[1] = 0.9700000000000008 " " y[1] (analytic) = 2.570399544665549 " " y[1] (numeric) = 2.570399544665562 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0103444471810820000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6017220530303238 " " Order of pole = 2.0816640986131 " " x[1] = 0.9710000000000008 " " y[1] (analytic) = 2.571860311951187 " " y[1] (numeric) = 2.5718603119512005 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 5.1801710355701220000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.6007205121982802 " " Order of pole = 2.081664098613359 " " x[1] = 0.9720000000000008 " " y[1] (analytic) = 2.5733242176642674 " " y[1] (numeric) = 2.5733242176642803 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 5.0046500154346420000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5997189713662279 " " Order of pole = 2.0816640986132278 " " x[1] = 0.9730000000000008 " " y[1] (analytic) = 2.574791271006992 " " y[1] (numeric) = 2.574791271007005 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 5.1742742976953730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.598717430534183 " " Order of pole = 2.0816640986134267 " " x[1] = 0.9740000000000008 " " y[1] (analytic) = 2.576261481228419 " " y[1] (numeric) = 2.5762614812284323 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 5.1713214642907010000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5977158897021404 " " Order of pole = 2.081664098613736 " " x[1] = 0.9750000000000008 " " y[1] (analytic) = 2.5777348576247747 " " y[1] (numeric) = 2.5777348576247885 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 5.3406445060207530000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5967143488700841 " " Order of pole = 2.081664098613416 " " x[1] = 0.9760000000000008 " " y[1] (analytic) = 2.579211409539769 " " y[1] (numeric) = 2.579211409539783 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 5.3375870835684860000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5957128080380386 " " Order of pole = 2.0816640986135937 " " x[1] = 0.9770000000000008 " " y[1] (analytic) = 2.580691146364913 " " y[1] (numeric) = 2.580691146364927 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 5.5066080786997720000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5947112672059865 " " Order of pole = 2.0816640986134693 " " x[1] = 0.9780000000000008 " " y[1] (analytic) = 2.582174077539841 " " y[1] (numeric) = 2.582174077539855 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 5.5034456579865270000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5937097263739409 " " Order of pole = 2.0816640986136328 " " x[1] = 0.9790000000000008 " " y[1] (analytic) = 2.583660212552633 " " y[1] (numeric) = 2.583660212552647 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 5.5002800469500620000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5927081855418879 " " Order of pole = 2.0816640986134587 " " x[1] = 0.9800000000000008 " " y[1] (analytic) = 2.5851495609401414 " " y[1] (numeric) = 2.5851495609401556 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 5.4971112425827860000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5917066447098384 " " Order of pole = 2.0816640986134516 " " x[1] = 0.9810000000000008 " " y[1] (analytic) = 2.58664213228832 " " y[1] (numeric) = 2.586642132288335 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 5.6656248431580690000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5907051038777837 " " Order of pole = 2.08166409861321 " " x[1] = 0.9820000000000008 " " y[1] (analytic) = 2.588137936232557 " " y[1] (numeric) = 2.588137936232572 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.8339367942966570000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.58970356304574 " " Order of pole = 2.0816640986134693 " " x[1] = 0.9830000000000008 " " y[1] (analytic) = 2.5896369824580074 " " y[1] (numeric) = 2.5896369824580225 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.8305597414547930000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.588702022213694 " " Order of pole = 2.0816640986136257 " " x[1] = 0.9840000000000008 " " y[1] (analytic) = 2.5911392806999323 " " y[1] (numeric) = 2.5911392806999474 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.8271792826294920000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5877004813816418 " " Order of pole = 2.0816640986134836 " " x[1] = 0.9850000000000008 " " y[1] (analytic) = 2.5926448407440383 " " y[1] (numeric) = 2.5926448407440534 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.8237954144806820000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5866989405495789 " " Order of pole = 2.081664098612844 " " x[1] = 0.9860000000000008 " " y[1] (analytic) = 2.5941536724268217 " " y[1] (numeric) = 2.594153672426837 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.8204081336388360000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5856973997175415 " " Order of pole = 2.0816640986134054 " " x[1] = 0.9870000000000008 " " y[1] (analytic) = 2.595665785635914 " " y[1] (numeric) = 2.5956657856359295 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 5.9881061848431580000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5846958588854796 " " Order of pole = 2.0816640986128085 " " x[1] = 0.9880000000000008 " " y[1] (analytic) = 2.5971811903104323 " " y[1] (numeric) = 2.5971811903104474 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.8136233202495170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5836943180534467 " " Order of pole = 2.08166409861359 " " x[1] = 0.9890000000000008 " " y[1] (analytic) = 2.5986998964413286 " " y[1] (numeric) = 2.598699896441344 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 5.9811147743673730000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5826927772213863 " " Order of pole = 2.081664098613061 " " x[1] = 0.9900000000000008 " " y[1] (analytic) = 2.6002219140717493 " " y[1] (numeric) = 2.6002219140717653 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 6.1484027451978130000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5816912363893452 " " Order of pole = 2.0816640986134445 " " x[1] = 0.9910000000000008 " " y[1] (analytic) = 2.601747253297391 " " y[1] (numeric) = 2.6017472532974066 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 5.9741092548683260000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5806896955572921 " " Order of pole = 2.0816640986132775 " " x[1] = 0.9920000000000008 " " y[1] (analytic) = 2.603275924266861 " " y[1] (numeric) = 2.603275924266877 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 6.1411898007333210000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5796881547252416 " " Order of pole = 2.0816640986132207 " " x[1] = 0.9930000000000008 " " y[1] (analytic) = 2.604807937182043 " " y[1] (numeric) = 2.6048079371820596 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.3080661456476430000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5786866138931999 " " Order of pole = 2.081664098613576 " " x[1] = 0.9940000000000008 " " y[1] (analytic) = 2.606343302298468 " " y[1] (numeric) = 2.6063433022984843 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.304350140659509000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5776850730611375 " " Order of pole = 2.0816640986129507 " " x[1] = 0.9950000000000008 " " y[1] (analytic) = 2.607882029925678 " " y[1] (numeric) = 2.6078820299256944 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.3006303873801350000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5766835322290946 " " Order of pole = 2.0816640986132597 " " x[1] = 0.9960000000000008 " " y[1] (analytic) = 2.6094241304276067 " " y[1] (numeric) = 2.609424130427623 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.2969068818106310000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5756819913970462 " " Order of pole = 2.0816640986133024 " " x[1] = 0.9970000000000008 " " y[1] (analytic) = 2.6109696142229537 " " y[1] (numeric) = 2.61096961422297 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.2931796199177170000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5746804505649971 " " Order of pole = 2.081664098613313 " " x[1] = 0.9980000000000008 " " y[1] (analytic) = 2.6125184917855657 " " y[1] (numeric) = 2.612518491785582 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.2894485976335010000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5736789097329528 " " Order of pole = 2.081664098613551 " " x[1] = 0.9990000000000008 " " y[1] (analytic) = 2.6140707736448205 " " y[1] (numeric) = 2.6140707736448374 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 6.4555979679053920000000000000E-13 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "Real estimate of pole used" Radius of convergence = 0.5726773689009024 " " Order of pole = 2.0816640986134907 " " x[1] = 1.0000000000000007 " " y[1] (analytic) = 2.6156264703860153 " " y[1] (numeric) = 2.6156264703860326 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 6.6215414854692240000000000000E-13 "%" h = 1.000E-3 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 1 ) = tan ( x ) ;" Iterations = 1000 "Total Elapsed Time "= 12 Minutes 48 Seconds "Elapsed Time(since restart) "= 12 Minutes 48 Seconds "Expected Time Remaining "= 51 Minutes 10 Seconds "Optimized Time Remaining "= 51 Minutes 9 Seconds "Time to Timeout "= 2 Minutes 11 Seconds Percent Done = 20.02000000000001 "%" (%o51) true (%o51) diffeq.max