(%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 - 2 + 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 - 2 + 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 - 2 + 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 - 2 + 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 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 3 2 then (temporary : array_tmp2 glob_h factorial_3(0, 2), 1 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 2 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 3, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 4 2 then (temporary : array_tmp2 glob_h factorial_3(1, 3), 2 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 3, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 5 2 then (temporary : array_tmp2 glob_h factorial_3(2, 4), 3 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 3, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 6 2 then (temporary : array_tmp2 glob_h factorial_3(3, 5), 4 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 3, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 7 2 then (temporary : array_tmp2 glob_h factorial_3(4, 6), 5 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 3, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 2, 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 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 3 2 then (temporary : array_tmp2 glob_h factorial_3(0, 2), 1 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 2 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 3, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 4 2 then (temporary : array_tmp2 glob_h factorial_3(1, 3), 2 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 3, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 5 2 then (temporary : array_tmp2 glob_h factorial_3(2, 4), 3 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 3, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 6 2 then (temporary : array_tmp2 glob_h factorial_3(3, 5), 4 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 3, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 7 2 then (temporary : array_tmp2 glob_h factorial_3(4, 6), 5 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 3, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 2, 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 - cos(x) (%o49) exact_soln_y(x) := 2.0 - cos(x) (%i50) exact_soln_yp(x) := sin(x) (%o50) exact_soln_yp(x) := sin(x) (%i51) mainprog() := (define_variable(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_disp_incr, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_iter, 0, fixnum), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(djd_debug2, true, boolean), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(years_in_century, 100.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_large_float, 9.0E+100, float), define_variable(days_in_year, 365.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(djd_debug, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_warned, false, boolean), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(centuries_in_millinium, 10.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/h2sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 2 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "sin(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 : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_y_higher_work, 1 + 3, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 3, 1 + max_terms), array(array_y_higher, 1 + 3, 1 + max_terms), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_g : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), ord : 1, term while ord <= 3 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_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_2 : 0.0, term : 1 + term), term array_const_2 : 2, 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 : 0.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), 1 + 0 array_y_init : exact_soln_yp(x_start), glob_h : 1.0E-5, 1 + 1 glob_look_poles : true, glob_max_iter : 100, glob_h : 0.001, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : true, 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 : 2, 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 : 2, ord : 3, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, 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 : 2, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 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 : 2, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 3, 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 : 3, 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 , 2 ) = sin(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, "2012-06-15T20:23:59-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h2sin"), logitem_str(html_log_file, "diff ( y , x , 2 ) = sin(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, "h2sin diffeq.max"), logitem_str(html_log_file, "h2sin 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)) (%o51) mainprog() := (define_variable(glob_iolevel, 5, fixnum), define_variable(INFO, 2, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_disp_incr, 0.1, float), define_variable(min_in_hour, 60.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_iter, 0, fixnum), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(djd_debug2, true, boolean), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(years_in_century, 100.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_large_float, 9.0E+100, float), define_variable(days_in_year, 365.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(djd_debug, true, boolean), define_variable(glob_html_log, true, boolean), define_variable(glob_warned, false, boolean), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_start, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_almost_1, 0.999, float), define_variable(centuries_in_millinium, 10.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/h2sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 2 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "sin(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 : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_y_higher_work, 1 + 3, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 3, 1 + max_terms), array(array_y_higher, 1 + 3, 1 + max_terms), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1_g : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y_init : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), ord : 1, term while ord <= 3 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_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_const_2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_2 : 0.0, term : 1 + term), term array_const_2 : 2, 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 : 0.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), 1 + 0 array_y_init : exact_soln_yp(x_start), glob_h : 1.0E-5, 1 + 1 glob_look_poles : true, glob_max_iter : 100, glob_h : 0.001, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : true, 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 : 2, 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 : 2, ord : 3, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, 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 : 2, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 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 : 2, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 3, 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 : 3, 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 , 2 ) = sin(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, "2012-06-15T20:23:59-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h2sin"), logitem_str(html_log_file, "diff ( y , x , 2 ) = sin(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, "h2sin diffeq.max"), logitem_str(html_log_file, "h2sin 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)) (%i52) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/h2sinpostode.ode#################" "diff ( y , x , 2 ) = sin(x);" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 50," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "array_y_init[1 + 1] : exact_soln_yp(x_start)," "glob_h : 0.00001," "glob_look_poles : true," "glob_max_iter : 100," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 - cos(x) " ");" "exact_soln_yp (x) := (" "sin(x) " ");" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 1.0049958347219743 " " y[1] (numeric) = 1.0049958347219743 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.101 " " y[1] (analytic) = 1.0050961656240234 " " y[1] (numeric) = 1.0050957182211593 " " absolute error = 4.4740286408995190000000E-7 " " relative error = 4.4513438553631100000E-5 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000001 " " y[1] (analytic) = 1.0051974914298238 " " y[1] (numeric) = 1.0051957025487066 " " absolute error = 1.7888811172372954000000E-6 " " relative error = 1.77963149777934260000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000001 " " y[1] (analytic) = 1.00529981203805 " " y[1] (numeric) = 1.0052957886994693 " " absolute error = 4.023338580738667000000E-6 " " relative error = 4.00212805429867650000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000001 " " y[1] (analytic) = 1.0054031273463815 " " y[1] (numeric) = 1.005395977668199 " " absolute error = 7.149678182383212000000E-6 " " relative error = 7.1112551651333830000E-4 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000001 " " y[1] (analytic) = 1.0055074372515027 " " y[1] (numeric) = 1.0054962704495443 " " absolute error = 1.11668019584509890000E-5 " " relative error = 1.1105638352088977000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000001 " " y[1] (analytic) = 1.0056127416491036 " " y[1] (numeric) = 1.0055966680380495 " " absolute error = 1.607361105415705500000E-5 " " relative error = 1.598389756657016000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10700000000000001 " " y[1] (analytic) = 1.0057190404338798 " " y[1] (numeric) = 1.0056971714281546 " " absolute error = 2.18690057252057800000E-5 " " relative error = 2.1744647208599346000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000001 " " y[1] (analytic) = 1.0058263334995332 " " y[1] (numeric) = 1.0057977816141939 " " absolute error = 2.855188533934516000000E-5 " " relative error = 2.838649614591584000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000001 " " y[1] (analytic) = 1.00593462073877 " " y[1] (numeric) = 1.0058984995903946 " " absolute error = 3.61211483754786400000E-5 " " relative error = 3.590804773072712000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000001 " " y[1] (analytic) = 1.0060439020433032 " " y[1] (numeric) = 1.0059993263508762 " " absolute error = 4.45756924269957700000E-5 " " relative error = 4.4307899820734764000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000002 " " y[1] (analytic) = 1.0061541773038516 " " y[1] (numeric) = 1.0061002628896496 " " absolute error = 5.391441420199428000000E-5 " " relative error = 5.358464479714872000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000002 " " y[1] (analytic) = 1.0062654464101397 " " y[1] (numeric) = 1.0062013102006155 " " absolute error = 6.41362095241682100000E-5 " " relative error = 6.373686958344308000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000002 " " y[1] (analytic) = 1.0063777092508988 " " y[1] (numeric) = 1.0063024692775644 " " absolute error = 7.52399733343622800000E-5 " " relative error = 7.476315566485217000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11400000000000002 " " y[1] (analytic) = 1.0064909657138656 " " y[1] (numeric) = 1.0064037411141744 " " absolute error = 8.72245996912379700000E-5 " " relative error = 8.666207910706172000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000002 " " y[1] (analytic) = 1.0066052156857843 " " y[1] (numeric) = 1.0065051267040115 " " absolute error = 1.00088981772827880000E-4 " " relative error = 9.943221057586000E-3 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000002 " " y[1] (analytic) = 1.0067204590524041 " " y[1] (numeric) = 1.0066066270405274 " " absolute error = 1.13832011876757730000E-4 " " relative error = 1.13072115355542100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000002 " " y[1] (analytic) = 1.0068366956984822 " " y[1] (numeric) = 1.0067082431170593 " " absolute error = 1.28452581422910940000E-4 " " relative error = 1.275803533698166800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000002 " " y[1] (analytic) = 1.006953925507782 " " y[1] (numeric) = 1.0068099759268285 " " absolute error = 1.43949580953428580000E-4 " " relative error = 1.429554792001415000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000002 " " y[1] (analytic) = 1.0070721483630733 " " y[1] (numeric) = 1.00691182646294 " " absolute error = 1.60321900133375550000E-4 " " relative error = 1.591960421047963500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000002 " " y[1] (analytic) = 1.0071913641461339 " " y[1] (numeric) = 1.0070137957183805 " " absolute error = 1.7756842775340510000E-4 " " relative error = 1.763005860400145300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000002 " " y[1] (analytic) = 1.007311572737747 " " y[1] (numeric) = 1.0071158846860182 " " absolute error = 1.9568805172887060000E-4 " " relative error = 1.942676496776612500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000003 " " y[1] (analytic) = 1.0074327740177051 " " y[1] (numeric) = 1.0072180943586018 " " absolute error = 2.14679659103378380000E-4 " " relative error = 2.13095766427393900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000003 " " y[1] (analytic) = 1.0075549678648064 " " y[1] (numeric) = 1.0073204257287591 " " absolute error = 2.34542136047233290000E-4 " " relative error = 2.327834644538263000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000003 " " y[1] (analytic) = 1.0076781541568571 " " y[1] (numeric) = 1.0074228797889961 " " absolute error = 2.55274367860991450000E-4 " " relative error = 2.53329266698834200E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000003 " " y[1] (analytic) = 1.0078023327706709 " " y[1] (numeric) = 1.0075254575316965 " " absolute error = 2.76875238974350070000E-4 " " relative error = 2.74731690899304600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12600000000000003 " " y[1] (analytic) = 1.0079275035820694 " " y[1] (numeric) = 1.00762815994912 " " absolute error = 2.9934363294947810000E-4 " " relative error = 2.969892496093637400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12700000000000003 " " y[1] (analytic) = 1.0080536664658815 " " y[1] (numeric) = 1.0077309880334013 " " absolute error = 3.22678432480127950000E-4 " " relative error = 3.201004502184897600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12800000000000003 " " y[1] (analytic) = 1.0081808212959444 " " y[1] (numeric) = 1.0078339427765501 " " absolute error = 3.46878519394300260000E-4 " " relative error = 3.44063794973219900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000003 " " y[1] (analytic) = 1.0083089679451036 " " y[1] (numeric) = 1.0079370251704491 " " absolute error = 3.7194277465446570000E-4 " " relative error = 3.68877780996504800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000003 " " y[1] (analytic) = 1.008438106285212 " " y[1] (numeric) = 1.0080402362068537 " " absolute error = 3.9787007835823120000E-4 " " relative error = 3.94540900307572700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000003 " " y[1] (analytic) = 1.0085682361871315 " " y[1] (numeric) = 1.0081435768773899 " " absolute error = 4.24659309741670650000E-4 " " relative error = 4.21051639844503900E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13200000000000003 " " y[1] (analytic) = 1.0086993575207321 " " y[1] (numeric) = 1.0082470481735548 " " absolute error = 4.5230934717732650000E-4 " " relative error = 4.48408481481589600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13300000000000003 " " y[1] (analytic) = 1.0088314701548928 " " y[1] (numeric) = 1.0083506510867146 " " absolute error = 4.8081906817820650000E-4 " " relative error = 4.76609902052701700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13400000000000004 " " y[1] (analytic) = 1.0089645739575008 " " y[1] (numeric) = 1.008454386608104 " " absolute error = 5.1018734939689560000E-4 " " relative error = 5.05654373369887500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13500000000000004 " " y[1] (analytic) = 1.0090986687954522 " " y[1] (numeric) = 1.0085582557288246 " " absolute error = 5.4041306662755420000E-4 " " relative error = 5.35540362244891400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13600000000000004 " " y[1] (analytic) = 1.0092337545346521 " " y[1] (numeric) = 1.008662259439845 " " absolute error = 5.7149509480702850000E-4 " " relative error = 5.662663305098623000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13700000000000004 " " y[1] (analytic) = 1.009369831040015 " " y[1] (numeric) = 1.008766398731999 " " absolute error = 6.0343230801596090000E-4 " " relative error = 5.978307350381258000E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13800000000000004 " " y[1] (analytic) = 1.0095068981754642 " " y[1] (numeric) = 1.0088706745959848 " " absolute error = 6.3622357947945570000E-4 " " relative error = 6.30232027764581400E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13900000000000004 " " y[1] (analytic) = 1.0096449558039327 " " y[1] (numeric) = 1.008975088022364 " " absolute error = 6.6986778156863380000E-4 " " relative error = 6.63468655707044700E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14000000000000004 " " y[1] (analytic) = 1.0097840037873629 " " y[1] (numeric) = 1.0090796400015607 " " absolute error = 7.0436378580218670000E-4 " " relative error = 6.975390609876500E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14100000000000004 " " y[1] (analytic) = 1.0099240419867068 " " y[1] (numeric) = 1.0091843315238604 " " absolute error = 7.3971046284637690000E-4 " " relative error = 7.32441680852779800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14200000000000004 " " y[1] (analytic) = 1.010065070261926 " " y[1] (numeric) = 1.0092891635794092 " " absolute error = 7.7590668251681370000E-4 " " relative error = 7.68174947694814100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14300000000000004 " " y[1] (analytic) = 1.0102070884719927 " " y[1] (numeric) = 1.0093941371582125 " " absolute error = 8.1295131378023020000E-4 " " relative error = 8.0473728907394100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14400000000000004 " " y[1] (analytic) = 1.0103500964748884 " " y[1] (numeric) = 1.009499253250134 " " absolute error = 8.5084322475448280000E-4 " " relative error = 8.42127127738271100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14500000000000005 " " y[1] (analytic) = 1.0104940941276053 " " y[1] (numeric) = 1.0096045128448952 " " absolute error = 8.8958128271010570000E-4 " " relative error = 8.80342881645550100E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14600000000000005 " " y[1] (analytic) = 1.0106390812861454 " " y[1] (numeric) = 1.009709916932074 " " absolute error = 9.2916435407142120000E-4 " " relative error = 9.19382963984492800E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14700000000000005 " " y[1] (analytic) = 1.010785057805522 " " y[1] (numeric) = 1.009815466501104 " " absolute error = 9.6959130441787170000E-4 " " relative error = 9.59245783196395300E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14800000000000005 " " y[1] (analytic) = 1.010932023539758 " " y[1] (numeric) = 1.0099211625412732 " " absolute error = 1.0108609984849082000E-3 " " relative error = 9.99929742996367600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14900000000000005 " " y[1] (analytic) = 1.0110799783418882 " " y[1] (numeric) = 1.0100270060417227 " " absolute error = 1.0529723001655444000E-3 " " relative error = 0.10414332423952823 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15000000000000005 " " y[1] (analytic) = 1.0112289220639576 " " y[1] (numeric) = 1.0101329979914466 " " absolute error = 1.095924072511023100E-3 " " relative error = 0.10837546757209034 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15100000000000005 " " y[1] (analytic) = 1.0113788545570226 " " y[1] (numeric) = 1.0102391393792907 " " absolute error = 1.1397151777319259000E-3 " " relative error = 0.11268924326395115 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15200000000000005 " " y[1] (analytic) = 1.0115297756711508 " " y[1] (numeric) = 1.0103454311939508 " " absolute error = 1.18434447719995000E-3 " " relative error = 0.11708448981782435 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15300000000000005 " " y[1] (analytic) = 1.0116816852554207 " " y[1] (numeric) = 1.0104518744239728 " " absolute error = 1.2298108314479084000E-3 " " relative error = 0.12156104527457333 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15400000000000005 " " y[1] (analytic) = 1.0118345831579232 " " y[1] (numeric) = 1.0105584700577508 " " absolute error = 1.2761131001723935000E-3 " " relative error = 0.12611874721554392 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15500000000000005 " " y[1] (analytic) = 1.0119884692257601 " " y[1] (numeric) = 1.0106652190835268 " " absolute error = 1.3232501422333343000E-3 " " relative error = 0.13075743276459567 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15600000000000006 " " y[1] (analytic) = 1.0121433433050455 " " y[1] (numeric) = 1.0107721224893893 " " absolute error = 1.3712208156562156000E-3 " " relative error = 0.13547693859040175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15700000000000006 " " y[1] (analytic) = 1.0122992052409052 " " y[1] (numeric) = 1.0108791812632723 " " absolute error = 1.420023977632967000E-3 " " relative error = 0.1402771009086224 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15800000000000006 " " y[1] (analytic) = 1.0124560548774775 " " y[1] (numeric) = 1.0109863963929544 " " absolute error = 1.4696584845230730000E-3 " " relative error = 0.14515775548410584 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15900000000000006 " " y[1] (analytic) = 1.0126138920579124 " " y[1] (numeric) = 1.0110937688660582 " " absolute error = 1.520123191854239000E-3 " " relative error = 0.15011873763305053 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16000000000000006 " " y[1] (analytic) = 1.0127727166243732 " " y[1] (numeric) = 1.0112012996700486 " " absolute error = 1.5714169543246115000E-3 " " relative error = 0.15515988222532595 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16100000000000006 " " y[1] (analytic) = 1.0129325284180348 " " y[1] (numeric) = 1.0113089897922323 " " absolute error = 1.6235386258025564000E-3 " " relative error = 0.16028102368655753 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16200000000000006 " " y[1] (analytic) = 1.013093327279086 " " y[1] (numeric) = 1.0114168402197568 " " absolute error = 1.6764870593293235000E-3 " " relative error = 0.16548199600050137 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16300000000000006 " " y[1] (analytic) = 1.0132551130467276 " " y[1] (numeric) = 1.011524851939609 " " absolute error = 1.7302611071186025000E-3 " " relative error = 0.17076263271111758 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16400000000000006 " " y[1] (analytic) = 1.0134178855591738 " " y[1] (numeric) = 1.0116330259386148 " " absolute error = 1.784859620558965000E-3 " " relative error = 0.17612276692493273 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16500000000000006 " " y[1] (analytic) = 1.0135816446536523 " " y[1] (numeric) = 1.0117413632034378 " " absolute error = 1.8402814502145315000E-3 " " relative error = 0.1815622313132326 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16600000000000006 " " y[1] (analytic) = 1.0137463901664039 " " y[1] (numeric) = 1.011849864720578 " " absolute error = 1.8965254458258585000E-3 " " relative error = 0.1870808581142813 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16700000000000007 " " y[1] (analytic) = 1.0139121219326834 " " y[1] (numeric) = 1.0119585314763715 " " absolute error = 1.9535904563119377000E-3 " " relative error = 0.19267847913565456 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16800000000000007 " " y[1] (analytic) = 1.0140788397867584 " " y[1] (numeric) = 1.012067364456989 " " absolute error = 2.0114753297693078000E-3 " " relative error = 0.19835492575629357 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16900000000000007 " " y[1] (analytic) = 1.014246543561912 " " y[1] (numeric) = 1.0121763646484352 " " absolute error = 2.070178913476716800E-3 " " relative error = 0.20411002892911 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17000000000000007 " " y[1] (analytic) = 1.0144152330904395 " " y[1] (numeric) = 1.0122855330365472 " " absolute error = 2.129700053892236200E-3 " " relative error = 0.20994361918285234 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17100000000000007 " " y[1] (analytic) = 1.0145849082036515 " " y[1] (numeric) = 1.012394870606994 " " absolute error = 2.190037596657479200E-3 " " relative error = 0.21585552662467616 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17200000000000007 " " y[1] (analytic) = 1.0147555687318737 " " y[1] (numeric) = 1.0125043783452758 " " absolute error = 2.2511903865978233000E-3 " " relative error = 0.2218455809423254 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17300000000000007 " " y[1] (analytic) = 1.0149272145044448 " " y[1] (numeric) = 1.0126140572367224 " " absolute error = 2.31315726772241000E-3 " " relative error = 0.22791361140629654 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17400000000000007 " " y[1] (analytic) = 1.0150998453497193 " " y[1] (numeric) = 1.012723908266492 " " absolute error = 2.375937083227253000E-3 " " relative error = 0.23405944687231253 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17500000000000007 " " y[1] (analytic) = 1.0152734610950667 " " y[1] (numeric) = 1.0128339324195714 " " absolute error = 2.4395286754952394000E-3 " " relative error = 0.24028291578349553 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17600000000000007 " " y[1] (analytic) = 1.0154480615668704 " " y[1] (numeric) = 1.012944130680774 " " absolute error = 2.5039308860963505000E-3 " " relative error = 0.24658384617256557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17700000000000007 " " y[1] (analytic) = 1.015623646590531 " " y[1] (numeric) = 1.013054504034739 " " absolute error = 2.5691425557921030000E-3 " " relative error = 0.2529620656644581 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17800000000000007 " " y[1] (analytic) = 1.0158002159904627 " " y[1] (numeric) = 1.0131650534659302 " " absolute error = 2.6351625245324417000E-3 " " relative error = 0.25941740147820397 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17900000000000008 " " y[1] (analytic) = 1.0159777695900964 " " y[1] (numeric) = 1.013275779958636 " " absolute error = 2.7019896314603997000E-3 " " relative error = 0.2659496804295764 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18000000000000008 " " y[1] (analytic) = 1.0161563072118787 " " y[1] (numeric) = 1.0133866844969674 " " absolute error = 2.769622714911213000E-3 " " relative error = 0.2725587289331974 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18100000000000008 " " y[1] (analytic) = 1.0163358286772715 " " y[1] (numeric) = 1.0134977680648574 " " absolute error = 2.838060612414095000E-3 " " relative error = 0.27924437300490923 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18200000000000008 " " y[1] (analytic) = 1.016516333806754 " " y[1] (numeric) = 1.0136090316460598 " " absolute error = 2.907302160694236000E-3 " " relative error = 0.28600643826417177 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18300000000000008 " " y[1] (analytic) = 1.0166978224198204 " " y[1] (numeric) = 1.0137204762241485 " " absolute error = 2.977346195671915000E-3 " " relative error = 0.2928447499361804 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18400000000000008 " " y[1] (analytic) = 1.0168802943349826 " " y[1] (numeric) = 1.0138321027825166 " " absolute error = 3.0481915524660510000E-3 " " relative error = 0.29975913285442324 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18500000000000008 " " y[1] (analytic) = 1.0170637493697685 " " y[1] (numeric) = 1.0139439123043748 " " absolute error = 3.11983706539376000E-3 " " relative error = 0.30674941146284995 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18600000000000008 " " y[1] (analytic) = 1.0172481873407233 " " y[1] (numeric) = 1.0140559057727512 " " absolute error = 3.192281567972133000E-3 " " relative error = 0.31381540981826206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18700000000000008 " " y[1] (analytic) = 1.0174336080634085 " " y[1] (numeric) = 1.0141680841704899 " " absolute error = 3.265523892918676000E-3 " " relative error = 0.3209569515925762 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18800000000000008 " " y[1] (analytic) = 1.017620011352404 " " y[1] (numeric) = 1.01428044848025 " " absolute error = 3.3395628721542003000E-3 " " relative error = 0.32817386007533045 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18900000000000008 " " y[1] (analytic) = 1.0178073970213064 " " y[1] (numeric) = 1.0143929996845045 " " absolute error = 3.414397336801933000E-3 " " relative error = 0.3354659581758235 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19000000000000009 " " y[1] (analytic) = 1.0179957648827296 " " y[1] (numeric) = 1.0145057387655398 " " absolute error = 3.4900261171897373000E-3 " " relative error = 0.34283306842556255 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1910000000000001 " " y[1] (analytic) = 1.0181851147483063 " " y[1] (numeric) = 1.0146186667054544 " " absolute error = 3.5664480428518885000E-3 " " relative error = 0.3502750129806709 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1920000000000001 " " y[1] (analytic) = 1.0183754464286865 " " y[1] (numeric) = 1.0147317844861579 " " absolute error = 3.643661942528631000E-3 " " relative error = 0.3577916136240805 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1930000000000001 " " y[1] (analytic) = 1.0185667597335382 " " y[1] (numeric) = 1.0148450930893698 " " absolute error = 3.7216666441683977000E-3 " " relative error = 0.36538269176799004 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940000000000001 " " y[1] (analytic) = 1.0187590544715488 " " y[1] (numeric) = 1.014958593496619 " " absolute error = 3.800460974929809000E-3 " " relative error = 0.37304806845630306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1950000000000001 " " y[1] (analytic) = 1.0189523304504227 " " y[1] (numeric) = 1.0150722866892428 " " absolute error = 3.8800437611798966000E-3 " " relative error = 0.38078756436670036 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960000000000001 " " y[1] (analytic) = 1.0191465874768846 " " y[1] (numeric) = 1.0151861736483854 " " absolute error = 3.96041382849920960E-3 " " relative error = 0.3886009998133891 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1970000000000001 " " y[1] (analytic) = 1.0193418253566775 " " y[1] (numeric) = 1.0153002553549972 " " absolute error = 4.041570001680261400E-3 " " relative error = 0.3964881947492027 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1980000000000001 " " y[1] (analytic) = 1.019538043894563 " " y[1] (numeric) = 1.0154145327898343 " " absolute error = 4.123511104728639000E-3 " " relative error = 0.40444896876796466 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1990000000000001 " " y[1] (analytic) = 1.019735242894323 " " y[1] (numeric) = 1.0155290069334566 " " absolute error = 4.2062359608663336000E-3 " " relative error = 0.412483141107072 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2000000000000001 " " y[1] (analytic) = 1.0199334221587584 " " y[1] (numeric) = 1.0156436787662275 " " absolute error = 4.289743392530853700E-3 " " relative error = 0.4205905306496693 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2010000000000001 " " y[1] (analytic) = 1.02013258148969 " " y[1] (numeric) = 1.0157585492683128 " " absolute error = 4.374032221377222000E-3 " " relative error = 0.42877095592710746 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2020000000000001 " " y[1] (analytic) = 1.0203327206879584 " " y[1] (numeric) = 1.0158736194196791 " " absolute error = 4.4591012682793085000E-3 " " relative error = 0.43702423512134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2030000000000001 " " y[1] (analytic) = 1.0205338395534245 " " y[1] (numeric) = 1.0159888902000942 " " absolute error = 4.544949353330274300E-3 " " relative error = 0.4453501860672351 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2040000000000001 " " y[1] (analytic) = 1.0207359378849694 " " y[1] (numeric) = 1.0161043625891244 " " absolute error = 4.631575295845014000E-3 " " relative error = 0.4537486262550857 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2050000000000001 " " y[1] (analytic) = 1.020939015480495 " " y[1] (numeric) = 1.016220037566135 " " absolute error = 4.718977914359934000E-3 " " relative error = 0.46221937283286146 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2060000000000001 " " y[1] (analytic) = 1.0211430721369235 " " y[1] (numeric) = 1.0163359161102887 " " absolute error = 4.807156026634729000E-3 " " relative error = 0.4707622426086582 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2070000000000001 " " y[1] (analytic) = 1.021348107650198 " " y[1] (numeric) = 1.0164519992005443 " " absolute error = 4.896108449653713300E-3 " " relative error = 0.47937705205310704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2080000000000001 " " y[1] (analytic) = 1.0215541218152835 " " y[1] (numeric) = 1.0165682878156561 " " absolute error = 4.985833999627376000E-3 " " relative error = 0.48806361730180653 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2090000000000001 " " y[1] (analytic) = 1.0217611144261656 " " y[1] (numeric) = 1.0166847829341732 " " absolute error = 5.076331491992381000E-3 " " relative error = 0.4968217541576061 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2100000000000001 " " y[1] (analytic) = 1.0219690852758516 " " y[1] (numeric) = 1.0168014855344378 " " absolute error = 5.167599741413786000E-3 " " relative error = 0.5056512780931078 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2110000000000001 " " y[1] (analytic) = 1.0221780341563713 " " y[1] (numeric) = 1.016918396594585 " " absolute error = 5.259637561786379000E-3 " " relative error = 0.5145520042530837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2120000000000001 " " y[1] (analytic) = 1.022387960858775 " " y[1] (numeric) = 1.017035517092541 " " absolute error = 5.352443766234005000E-3 " " relative error = 0.5235237474567007 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2130000000000001 " " y[1] (analytic) = 1.0225988651731364 " " y[1] (numeric) = 1.0171528480060228 " " absolute error = 5.44601716711357000E-3 " " relative error = 0.5325663222002016 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2140000000000001 " " y[1] (analytic) = 1.0228107468885512 " " y[1] (numeric) = 1.0172703903125373 " " absolute error = 5.540356576013927000E-3 " " relative error = 0.54167954265909 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2150000000000001 " " y[1] (analytic) = 1.0230236057931377 " " y[1] (numeric) = 1.0173881449893794 " " absolute error = 5.635460803758319000E-3 " " relative error = 0.5508632226906646 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2160000000000001 " " y[1] (analytic) = 1.0232374416740369 " " y[1] (numeric) = 1.017506113013632 " " absolute error = 5.731328660404822000E-3 " " relative error = 0.5601171758363586 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2170000000000001 " " y[1] (analytic) = 1.0234522543174132 " " y[1] (numeric) = 1.0176242953621646 " " absolute error = 5.827958955248569000E-3 " " relative error = 0.5694412153242556 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2180000000000001 " " y[1] (analytic) = 1.0236680435084535 " " y[1] (numeric) = 1.0177426930116324 " " absolute error = 5.92535049682108000E-3 " " relative error = 0.5788351540713255 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2190000000000001 " " y[1] (analytic) = 1.0238848090313692 " " y[1] (numeric) = 1.0178613069384752 " " absolute error = 6.02350209289404000E-3 " " relative error = 0.5882988046860939 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2200000000000001 " " y[1] (analytic) = 1.0241025506693946 " " y[1] (numeric) = 1.0179801381189166 " " absolute error = 6.1224125504779630000E-3 " " relative error = 0.5978319794708165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2210000000000001 " " y[1] (analytic) = 1.0243212682047877 " " y[1] (numeric) = 1.018099187528963 " " absolute error = 6.222080675824859000E-3 " " relative error = 0.6074344904240442 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22200000000000011 " " y[1] (analytic) = 1.0245409614188317 " " y[1] (numeric) = 1.018218456144402 " " absolute error = 6.3225052744295680000E-3 " " relative error = 0.6171061492430592 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22300000000000011 " " y[1] (analytic) = 1.0247616300918327 " " y[1] (numeric) = 1.0183379449408032 " " absolute error = 6.4236851510295350000E-3 " " relative error = 0.6268467673261618 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22400000000000012 " " y[1] (analytic) = 1.0249832740031222 " " y[1] (numeric) = 1.018457654893515 " " absolute error = 6.52561910960725000E-3 " " relative error = 0.6366561557752183 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22500000000000012 " " y[1] (analytic) = 1.0252058929310568 " " y[1] (numeric) = 1.0185775869776648 " " absolute error = 6.628305953392033000E-3 " " relative error = 0.6465341253981433 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22600000000000012 " " y[1] (analytic) = 1.025429486653017 " " y[1] (numeric) = 1.0186977421681582 " " absolute error = 6.731744484858693000E-3 " " relative error = 0.6564804867110837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22700000000000012 " " y[1] (analytic) = 1.0256540549454094 " " y[1] (numeric) = 1.0188181214396774 " " absolute error = 6.8359335057319730000E-3 " " relative error = 0.6664950499411633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22800000000000012 " " y[1] (analytic) = 1.0258795975836656 " " y[1] (numeric) = 1.0189387257666807 " " absolute error = 6.940871816984995000E-3 " " relative error = 0.6765776250286459 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.22900000000000012 " " y[1] (analytic) = 1.0261061143422432 " " y[1] (numeric) = 1.0190595561234013 " " absolute error = 7.046558218841925000E-3 " " relative error = 0.6867280216295101 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23000000000000012 " " y[1] (analytic) = 1.0263336049946252 " " y[1] (numeric) = 1.0191806134838461 " " absolute error = 7.152991510779083000E-3 " " relative error = 0.6969460491178736 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23100000000000012 " " y[1] (analytic) = 1.026562069313321 " " y[1] (numeric) = 1.0193018988217957 " " absolute error = 7.260170491525386000E-3 " " relative error = 0.7072315165883536 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23200000000000012 " " y[1] (analytic) = 1.0267915070698665 " " y[1] (numeric) = 1.0194234131108018 " " absolute error = 7.368093959064792000E-3 " " relative error = 0.7175842328586226 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23300000000000012 " " y[1] (analytic) = 1.0270219180348237 " " y[1] (numeric) = 1.0195451573241878 " " absolute error = 7.476760710635855000E-3 " " relative error = 0.7280040064716844 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23400000000000012 " " y[1] (analytic) = 1.0272533019777819 " " y[1] (numeric) = 1.019667132435047 " " absolute error = 7.586169542734833000E-3 " " relative error = 0.7384906456984951 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23500000000000013 " " y[1] (analytic) = 1.027485658667357 " " y[1] (numeric) = 1.0197893394162418 " " absolute error = 7.696319251115247000E-3 " " relative error = 0.7490439585402416 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23600000000000013 " " y[1] (analytic) = 1.0277189878711925 " " y[1] (numeric) = 1.0199117792404029 " " absolute error = 7.807208630789653000E-3 " " relative error = 0.7596637527308346 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23700000000000013 " " y[1] (analytic) = 1.0279532893559589 " " y[1] (numeric) = 1.0200344528799277 " " absolute error = 7.918836476031199000E-3 " " relative error = 0.7703498357393816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23800000000000013 " " y[1] (analytic) = 1.028188562887355 " " y[1] (numeric) = 1.02015736130698 " " absolute error = 8.031201580374958000E-3 " " relative error = 0.7811020147726376 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.23900000000000013 " " y[1] (analytic) = 1.0284248082301075 " " y[1] (numeric) = 1.0202805054934891 " " absolute error = 8.14430273661837000E-3 " " relative error = 0.791920096777372 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24000000000000013 " " y[1] (analytic) = 1.0286620251479706 " " y[1] (numeric) = 1.0204038864111482 " " absolute error = 8.258138736822351000E-3 " " relative error = 0.802803888442799 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24100000000000013 " " y[1] (analytic) = 1.0289002134037273 " " y[1] (numeric) = 1.020527505031414 " " absolute error = 8.372708372313298000E-3 " " relative error = 0.8137531962030952 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24200000000000013 " " y[1] (analytic) = 1.02913937275919 " " y[1] (numeric) = 1.0206513623255054 " " absolute error = 8.488010433684634000E-3 " " relative error = 0.8247678262398729 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24300000000000013 " " y[1] (analytic) = 1.029379502975199 " " y[1] (numeric) = 1.0207754592644023 " " absolute error = 8.604043710796816000E-3 " " relative error = 0.835847584484506 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24400000000000013 " " y[1] (analytic) = 1.0296206038116242 " " y[1] (numeric) = 1.0208997968188456 " " absolute error = 8.720806992778662000E-3 " " relative error = 0.8469922766205823 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24500000000000013 " " y[1] (analytic) = 1.0298626750273647 " " y[1] (numeric) = 1.0210243759593352 " " absolute error = 8.838299068029576000E-3 " " relative error = 0.8582017080864428 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24600000000000014 " " y[1] (analytic) = 1.030105716380349 " " y[1] (numeric) = 1.021149197656129 " " absolute error = 8.956518724219986000E-3 " " relative error = 0.8694756840775499 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24700000000000014 " " y[1] (analytic) = 1.0303497276275366 " " y[1] (numeric) = 1.0212742628792435 " " absolute error = 9.075464748293127000E-3 " " relative error = 0.8808140095489827 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24800000000000014 " " y[1] (analytic) = 1.0305947085249154 " " y[1] (numeric) = 1.0213995725984506 " " absolute error = 9.195135926464815000E-3 " " relative error = 0.8922164892177413 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.24900000000000014 " " y[1] (analytic) = 1.0308406588275052 " " y[1] (numeric) = 1.0215251277832782 " " absolute error = 9.315531044226999000E-3 " " relative error = 0.9036829275654139 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2500000000000001 " " y[1] (analytic) = 1.0310875782893554 " " y[1] (numeric) = 1.0216509294030085 " " absolute error = 9.436648886346877000E-3 " " relative error = 0.9152131288404154 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2510000000000001 " " y[1] (analytic) = 1.0313354666635464 " " y[1] (numeric) = 1.0217769784266775 " " absolute error = 9.55848823686889000E-3 " " relative error = 0.9268068970605047 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2520000000000001 " " y[1] (analytic) = 1.03158432370219 " " y[1] (numeric) = 1.0219032758230735 " " absolute error = 9.6810478791165000E-3 " " relative error = 0.9384640360152797 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2530000000000001 " " y[1] (analytic) = 1.0318341491564291 " " y[1] (numeric) = 1.0220298225607367 " " absolute error = 9.804326595692414000E-3 " " relative error = 0.9501843492685227 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2540000000000001 " " y[1] (analytic) = 1.0320849427764385 " " y[1] (numeric) = 1.022156619607958 " " absolute error = 9.92832316848058000E-3 " " relative error = 0.9619676401607158 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2550000000000001 " " y[1] (analytic) = 1.0323367043114244 " " y[1] (numeric) = 1.0222836679327776 " " absolute error = 1.005303637864685100E-2 " " relative error = 0.9738137118114283 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2560000000000001 " " y[1] (analytic) = 1.0325894335096255 " " y[1] (numeric) = 1.022410968502985 " " absolute error = 1.017846500664054700E-2 " " relative error = 0.9857223671217885 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2570000000000001 " " y[1] (analytic) = 1.0328431301183123 " " y[1] (numeric) = 1.0225385222861167 " " absolute error = 1.030460783219555600E-2 " " relative error = 0.9976934087769129 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2580000000000001 " " y[1] (analytic) = 1.0330977938837886 " " y[1] (numeric) = 1.0226663302494567 " " absolute error = 1.043146363433189400E-2 " " relative error = 1.0097266392483761 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2590000000000001 " " y[1] (analytic) = 1.0333534245513902 " " y[1] (numeric) = 1.0227943933600347 " " absolute error = 1.055903119135548400E-2 " " relative error = 1.0218218607965108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2600000000000001 " " y[1] (analytic) = 1.0336100218654867 " " y[1] (numeric) = 1.0229227125846247 " " absolute error = 1.068730928086192300E-2 " " relative error = 1.0339788754730903 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2610000000000001 " " y[1] (analytic) = 1.033867585569481 " " y[1] (numeric) = 1.0230512888897454 " " absolute error = 1.081629667973560400E-2 " " relative error = 1.0461974851235623 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2620000000000001 " " y[1] (analytic) = 1.034126115405809 " " y[1] (numeric) = 1.0231801232416575 " " absolute error = 1.094599216415148600E-2 " " relative error = 1.058477491389538 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2630000000000001 " " y[1] (analytic) = 1.0343856111159413 " " y[1] (numeric) = 1.0233092166063646 " " absolute error = 1.107639450957664800E-2 " " relative error = 1.070818695711258 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2640000000000001 " " y[1] (analytic) = 1.034646072440382 " " y[1] (numeric) = 1.0234385699496107 " " absolute error = 1.120750249077140400E-2 " " relative error = 1.0832208993300168 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2650000000000001 " " y[1] (analytic) = 1.0349074991186697 " " y[1] (numeric) = 1.0235681842368798 " " absolute error = 1.133931488178996400E-2 " " relative error = 1.0956839032905412 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2660000000000001 " " y[1] (analytic) = 1.035169890889378 " " y[1] (numeric) = 1.0236980604333952 " " absolute error = 1.147183045598287900E-2 " " relative error = 1.108207508443539 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2670000000000001 " " y[1] (analytic) = 1.035433247490115 " " y[1] (numeric) = 1.0238281995041183 " " absolute error = 1.160504798599659700E-2 " " relative error = 1.1207915154479708 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.2680000000000001 " " y[1] (analytic) = 1.035697568657524 " " y[1] (numeric) = 1.0239586024137475 " " absolute error = 1.173896624377657200E-2 " " relative error = 1.133435724773659 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.26900000000000013 " " y[1] (analytic) = 1.035962854127284 " " y[1] (numeric) = 1.0240892701267172 " " absolute error = 1.187358400056681700E-2 " " relative error = 1.1461399367035572 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27000000000000013 " " y[1] (analytic) = 1.0362291036341094 " " y[1] (numeric) = 1.0242202036071975 " " absolute error = 1.200890002691190600E-2 " " relative error = 1.1589039513362507 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27100000000000013 " " y[1] (analytic) = 1.0364963169117511 " " y[1] (numeric) = 1.0243514038190922 " " absolute error = 1.214491309265897100E-2 " " relative error = 1.1717275685884572 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27200000000000013 " " y[1] (analytic) = 1.0367644936929956 " " y[1] (numeric) = 1.0244828717260386 " " absolute error = 1.228162196695703500E-2 " " relative error = 1.184610588197269 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27300000000000013 " " y[1] (analytic) = 1.0370336337096662 " " y[1] (numeric) = 1.0246146082914063 " " absolute error = 1.2419025418259899E-2 " " relative error = 1.1975528097227366 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27400000000000013 " " y[1] (analytic) = 1.0373037366926225 " " y[1] (numeric) = 1.0247466144782964 " " absolute error = 1.255712221432614400E-2 " " relative error = 1.2105540325501705 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27500000000000013 " " y[1] (analytic) = 1.0375748023717621 " " y[1] (numeric) = 1.0248788912495401 " " absolute error = 1.269591112222201400E-2 " " relative error = 1.2236140558927222 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27600000000000013 " " y[1] (analytic) = 1.037846830476019 " " y[1] (numeric) = 1.0250114395676981 " " absolute error = 1.283539090832097600E-2 " " relative error = 1.2367326787936417 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27700000000000014 " " y[1] (analytic) = 1.0381198207333653 " " y[1] (numeric) = 1.0251442603950596 " " absolute error = 1.297556033830571400E-2 " " relative error = 1.2499097001287685 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27800000000000014 " " y[1] (analytic) = 1.038393772870811 " " y[1] (numeric) = 1.0252773546936413 " " absolute error = 1.311641817716968600E-2 " " relative error = 1.2631449186089765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.27900000000000014 " " y[1] (analytic) = 1.0386686866144035 " " y[1] (numeric) = 1.0254107234251864 " " absolute error = 1.325796318921712600E-2 " " relative error = 1.2764381327824728 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28000000000000014 " " y[1] (analytic) = 1.0389445616892292 " " y[1] (numeric) = 1.0255443675511635 " " absolute error = 1.340019413806570200E-2 " " relative error = 1.2897891410373434 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28100000000000014 " " y[1] (analytic) = 1.039221397819413 " " y[1] (numeric) = 1.0256782880327662 " " absolute error = 1.354310978664674500E-2 " " relative error = 1.3031977416038687 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28200000000000014 " " y[1] (analytic) = 1.0394991947281191 " " y[1] (numeric) = 1.0258124858309114 " " absolute error = 1.368670889720769000E-2 " " relative error = 1.316663732557046 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28300000000000014 " " y[1] (analytic) = 1.0397779521375505 " " y[1] (numeric) = 1.025946961906239 " " absolute error = 1.383099023131162400E-2 " " relative error = 1.3301869118188365 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28400000000000014 " " y[1] (analytic) = 1.0400576697689496 " " y[1] (numeric) = 1.0260817172191101 " " absolute error = 1.397595254983952000E-2 " " relative error = 1.3437670771606636 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28500000000000014 " " y[1] (analytic) = 1.040338347342599 " " y[1] (numeric) = 1.0262167527296073 " " absolute error = 1.412159461299156100E-2 " " relative error = 1.3574040262058233 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28600000000000014 " " y[1] (analytic) = 1.040619984577821 " " y[1] (numeric) = 1.0263520693975323 " " absolute error = 1.426791518028869300E-2 " " relative error = 1.3710975564319168 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28700000000000014 " " y[1] (analytic) = 1.0409025811929786 " " y[1] (numeric) = 1.026487668182406 " " absolute error = 1.441491301057262800E-2 " " relative error = 1.3848474651731282 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28800000000000014 " " y[1] (analytic) = 1.041186136905475 " " y[1] (numeric) = 1.026623550043467 " " absolute error = 1.456258686200784200E-2 " " relative error = 1.3986535496226955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.28900000000000015 " " y[1] (analytic) = 1.0414706514317547 " " y[1] (numeric) = 1.0267597159396713 " " absolute error = 1.471093549208335500E-2 " " relative error = 1.412515606835353 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29000000000000015 " " y[1] (analytic) = 1.041756124487303 " " y[1] (numeric) = 1.02689616682969 " " absolute error = 1.485995765761294300E-2 " " relative error = 1.4264334337296287 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29100000000000015 " " y[1] (analytic) = 1.0420425557866468 " " y[1] (numeric) = 1.0270329036719101 " " absolute error = 1.500965211473670500E-2 " " relative error = 1.4404068270902612 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29200000000000015 " " y[1] (analytic) = 1.0423299450433552 " " y[1] (numeric) = 1.0271699274244321 " " absolute error = 1.51600176189230500E-2 " " relative error = 1.4544355835706588 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29300000000000015 " " y[1] (analytic) = 1.0426182919700386 " " y[1] (numeric) = 1.02730723904507 " " absolute error = 1.531105292496870400E-2 " " relative error = 1.4685194996951667 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29400000000000015 " " y[1] (analytic) = 1.0429075962783503 " " y[1] (numeric) = 1.0274448394913491 " " absolute error = 1.546275678700115300E-2 " " relative error = 1.4826583718615631 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29500000000000015 " " y[1] (analytic) = 1.0431978576789862 " " y[1] (numeric) = 1.0275827297205071 " " absolute error = 1.56151279584790800E-2 " " relative error = 1.496851996343361 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29600000000000015 " " y[1] (analytic) = 1.0434890758816846 " " y[1] (numeric) = 1.027720910689491 " " absolute error = 1.576816519219370600E-2 " " relative error = 1.511100169292196 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29700000000000015 " " y[1] (analytic) = 1.0437812505952273 " " y[1] (numeric) = 1.0278593833549572 " " absolute error = 1.592186724027011600E-2 " " relative error = 1.5254026867402055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29800000000000015 " " y[1] (analytic) = 1.0440743815274396 " " y[1] (numeric) = 1.0279981486732708 " " absolute error = 1.607623285416881500E-2 " " relative error = 1.5397593446024336 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.29900000000000015 " " y[1] (analytic) = 1.0443684683851908 " " y[1] (numeric) = 1.0281372076005038 " " absolute error = 1.623126078468706300E-2 " " relative error = 1.554169938679204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30000000000000016 " " y[1] (analytic) = 1.044663510874394 " " y[1] (numeric) = 1.0282765610924347 " " absolute error = 1.638694978195931500E-2 " " relative error = 1.5686342646584133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30100000000000016 " " y[1] (analytic) = 1.0449595087000068 " " y[1] (numeric) = 1.0284162101045478 " " absolute error = 1.654329859545900E-2 " " relative error = 1.5831521181179422 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30200000000000016 " " y[1] (analytic) = 1.0452564615660314 " " y[1] (numeric) = 1.0285561555920313 " " absolute error = 1.670030597400007400E-2 " " relative error = 1.597723294528046 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30300000000000016 " " y[1] (analytic) = 1.0455543691755145 " " y[1] (numeric) = 1.0286963985097775 " " absolute error = 1.68579706657370200E-2 " " relative error = 1.6123475892535932 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30400000000000016 " " y[1] (analytic) = 1.045853231230549 " " y[1] (numeric) = 1.0288369398123807 " " absolute error = 1.701629141816840600E-2 " " relative error = 1.6270247975566388 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30500000000000016 " " y[1] (analytic) = 1.046153047432273 " " y[1] (numeric) = 1.0289777804541371 " " absolute error = 1.717526697813598300E-2 " " relative error = 1.6417547145985725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30600000000000016 " " y[1] (analytic) = 1.04645381748087 " " y[1] (numeric) = 1.029118921389044 " " absolute error = 1.733489609182603500E-2 " " relative error = 1.6565371354424756 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30700000000000016 " " y[1] (analytic) = 1.0467555410755698 " " y[1] (numeric) = 1.0292603635707973 " " absolute error = 1.749517750477247400E-2 " " relative error = 1.671371855055642 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30800000000000016 " " y[1] (analytic) = 1.0470582179146493 " " y[1] (numeric) = 1.0294021079527929 " " absolute error = 1.765610996185640300E-2 " " relative error = 1.6862586683117593 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.30900000000000016 " " y[1] (analytic) = 1.0473618476954316 " " y[1] (numeric) = 1.0295441554881235 " " absolute error = 1.78176922073081100E-2 " " relative error = 1.7011973699933187 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31000000000000016 " " y[1] (analytic) = 1.0476664301142866 " " y[1] (numeric) = 1.0296865071295793 " " absolute error = 1.797992298470729700E-2 " " relative error = 1.716187754793854 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31100000000000017 " " y[1] (analytic) = 1.0479719648666324 " " y[1] (numeric) = 1.0298291638296462 " " absolute error = 1.814280103698617800E-2 " " relative error = 1.731229617320448 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31200000000000017 " " y[1] (analytic) = 1.0482784516469337 " " y[1] (numeric) = 1.0299721265405049 " " absolute error = 1.830632510642882200E-2 " " relative error = 1.746322752095881 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31300000000000017 " " y[1] (analytic) = 1.0485858901487042 " " y[1] (numeric) = 1.0301153962140301 " " absolute error = 1.847049393467403700E-2 " " relative error = 1.761466953561111 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31400000000000017 " " y[1] (analytic) = 1.0488942800645051 " " y[1] (numeric) = 1.03025897380179 " " absolute error = 1.863530626271514600E-2 " " relative error = 1.776662016077455 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31500000000000017 " " y[1] (analytic) = 1.0492036210859468 " " y[1] (numeric) = 1.0304028602550441 " " absolute error = 1.880076083090265200E-2 " " relative error = 1.791907733929043 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31600000000000017 " " y[1] (analytic) = 1.0495139129036881 " " y[1] (numeric) = 1.0305470565247437 " " absolute error = 1.896685637894446300E-2 " " relative error = 1.8072039013250332 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31700000000000017 " " y[1] (analytic) = 1.0498251552074374 " " y[1] (numeric) = 1.03069156356153 " " absolute error = 1.913359164590744400E-2 " " relative error = 1.8225503124019535 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.31800000000000017 " " y[1] (analytic) = 1.0501373476859523 " " y[1] (numeric) = 1.0308363823157332 " " absolute error = 1.930096537021919200E-2 " " relative error = 1.8379467612260583 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3190000000000002 " " y[1] (analytic) = 1.0504504900270404 " " y[1] (numeric) = 1.0309815137373723 " " absolute error = 1.94689762896680390E-2 " " relative error = 1.8533930417955133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3200000000000002 " " y[1] (analytic) = 1.050764581917559 " " y[1] (numeric) = 1.0311269587761533 " " absolute error = 1.963762314140571300E-2 " " relative error = 1.8688889480428303 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3210000000000002 " " y[1] (analytic) = 1.051079623043417 " " y[1] (numeric) = 1.031272718381469 " " absolute error = 1.98069046619480100E-2 " " relative error = 1.8844342738371065 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3220000000000002 " " y[1] (analytic) = 1.0513956130895727 " " y[1] (numeric) = 1.0314187935023968 " " absolute error = 1.997681958717589800E-2 " " relative error = 1.9000288129863054 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3230000000000002 " " y[1] (analytic) = 1.0517125517400363 " " y[1] (numeric) = 1.0315651850876992 " " absolute error = 2.014736665233707300E-2 " " relative error = 1.9156723592395735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3240000000000002 " " y[1] (analytic) = 1.0520304386778692 " " y[1] (numeric) = 1.0317118940858223 " " absolute error = 2.03185445920468500E-2 " " relative error = 1.931364706289489 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3250000000000002 " " y[1] (analytic) = 1.0523492735851843 " " y[1] (numeric) = 1.0318589214448946 " " absolute error = 2.049035214028971400E-2 " " relative error = 1.9471056477743733 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3260000000000002 " " y[1] (analytic) = 1.0526690561431469 " " y[1] (numeric) = 1.032006268112726 " " absolute error = 2.066278803042087600E-2 " " relative error = 1.9628949772805948 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3270000000000002 " " y[1] (analytic) = 1.0529897860319744 " " y[1] (numeric) = 1.0321539350368076 " " absolute error = 2.083585099516671600E-2 " " relative error = 1.9787324883447663 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3280000000000002 " " y[1] (analytic) = 1.053311462930937 " " y[1] (numeric) = 1.0323019231643098 " " absolute error = 2.100953976662722800E-2 " " relative error = 1.9946179744561243 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3290000000000002 " " y[1] (analytic) = 1.0536340865183578 " " y[1] (numeric) = 1.032450233442082 " " absolute error = 2.118385307627579400E-2 " " relative error = 2.010551229058657 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3300000000000002 " " y[1] (analytic) = 1.053957656471613 " " y[1] (numeric) = 1.0325988668166515 " " absolute error = 2.13587896549616300E-2 " " relative error = 2.0265320455534734 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3310000000000002 " " y[1] (analytic) = 1.0542821724671332 " " y[1] (numeric) = 1.0327478242342223 " " absolute error = 2.153434823291089400E-2 " " relative error = 2.0425602173010486 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3320000000000002 " " y[1] (analytic) = 1.0546076341804018 " " y[1] (numeric) = 1.0328971066406747 " " absolute error = 2.17105275397271300E-2 " " relative error = 2.0586355376234 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3330000000000002 " " y[1] (analytic) = 1.0549340412859576 " " y[1] (numeric) = 1.0330467149815636 " " absolute error = 2.18873263043939400E-2 " " relative error = 2.0747577998064632 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3340000000000002 " " y[1] (analytic) = 1.0552613934573936 " " y[1] (numeric) = 1.0331966502021184 " " absolute error = 2.206474325527518800E-2 " " relative error = 2.090926797102244 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3350000000000002 " " y[1] (analytic) = 1.055589690367357 " " y[1] (numeric) = 1.033346913247241 " " absolute error = 2.22427771201159090E-2 " " relative error = 2.10714232273102 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3360000000000002 " " y[1] (analytic) = 1.0559189316875517 " " y[1] (numeric) = 1.0334975050615063 " " absolute error = 2.242142662604540400E-2 " " relative error = 2.1234041698837487 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3370000000000002 " " y[1] (analytic) = 1.0562491170887358 " " y[1] (numeric) = 1.0336484265891597 " " absolute error = 2.260069049957613700E-2 " " relative error = 2.1397121317240777 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3380000000000002 " " y[1] (analytic) = 1.056580246240724 " " y[1] (numeric) = 1.033799678774117 " " absolute error = 2.27805674666070600E-2 " " relative error = 2.156066001390763 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3390000000000002 " " y[1] (analytic) = 1.0569123188123877 " " y[1] (numeric) = 1.033951262559964 " " absolute error = 2.296105625242361700E-2 " " relative error = 2.1724655719997745 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3400000000000002 " " y[1] (analytic) = 1.057245334471654 " " y[1] (numeric) = 1.0341031788899542 " " absolute error = 2.31421555816997420E-2 " " relative error = 2.18891063664658 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3410000000000002 " " y[1] (analytic) = 1.057579292885507 " " y[1] (numeric) = 1.0342554287070087 " " absolute error = 2.3323864178498300E-2 " " relative error = 2.205400988408283 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3420000000000002 " " y[1] (analytic) = 1.0579141937199887 " " y[1] (numeric) = 1.0344080129537152 " " absolute error = 2.350618076627353200E-2 " " relative error = 2.22193642034594 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3430000000000002 " " y[1] (analytic) = 1.0582500366401981 " " y[1] (numeric) = 1.034560932572327 " " absolute error = 2.36891040678710580E-2 " " relative error = 2.2385167255066474 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3440000000000002 " " y[1] (analytic) = 1.0585868213102925 " " y[1] (numeric) = 1.034714188504762 " " absolute error = 2.387263280553053600E-2 " " relative error = 2.255141696925868 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3450000000000002 " " y[1] (analytic) = 1.0589245473934872 " " y[1] (numeric) = 1.0348677816926017 " " absolute error = 2.40567657008854400E-2 " " relative error = 2.271811127629489 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3460000000000002 " " y[1] (analytic) = 1.0592632145520557 " " y[1] (numeric) = 1.0350217130770905 " " absolute error = 2.424150147496528800E-2 " " relative error = 2.288524810636099 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3470000000000002 " " y[1] (analytic) = 1.0596028224473315 " " y[1] (numeric) = 1.0351759835991343 " " absolute error = 2.442683884819718500E-2 " " relative error = 2.3052825389592 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3480000000000002 " " y[1] (analytic) = 1.0599433707397066 " " y[1] (numeric) = 1.0353305941993005 " " absolute error = 2.461277654040605600E-2 " " relative error = 2.3220841056092882 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3490000000000002 " " y[1] (analytic) = 1.0602848590886325 " " y[1] (numeric) = 1.0354855458178156 " " absolute error = 2.47993132708168580E-2 " " relative error = 2.3389293035961205 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3500000000000002 " " y[1] (analytic) = 1.060627287152621 " " y[1] (numeric) = 1.0356408393945657 " " absolute error = 2.498644775805525200E-2 " " relative error = 2.355817925930825 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3510000000000002 " " y[1] (analytic) = 1.0609706545892443 " " y[1] (numeric) = 1.0357964758690947 " " absolute error = 2.517417872014960000E-2 " " relative error = 2.372749765628136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3520000000000002 " " y[1] (analytic) = 1.0613149610551345 " " y[1] (numeric) = 1.0359524561806037 " " absolute error = 2.536250487453073400E-2 " " relative error = 2.3897246157084155 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3530000000000002 " " y[1] (analytic) = 1.0616602062059854 " " y[1] (numeric) = 1.0361087812679497 " " absolute error = 2.55514249380357500E-2 " " relative error = 2.406742269200039 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3540000000000002 " " y[1] (analytic) = 1.0620063896965521 " " y[1] (numeric) = 1.0362654520696453 " " absolute error = 2.57409376269068800E-2 " " relative error = 2.423802519141326 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3550000000000002 " " y[1] (analytic) = 1.0623535111806508 " " y[1] (numeric) = 1.036422469523857 " " absolute error = 2.59310416567937200E-2 " " relative error = 2.4409051585827726 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3560000000000002 " " y[1] (analytic) = 1.0627015703111602 " " y[1] (numeric) = 1.0365798345684052 " " absolute error = 2.612173574275500300E-2 " " relative error = 2.458049980589238 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3570000000000002 " " y[1] (analytic) = 1.0630505667400212 " " y[1] (numeric) = 1.036737548140762 " " absolute error = 2.631301859925927500E-2 " " relative error = 2.475236778242024 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3580000000000002 " " y[1] (analytic) = 1.0634005001182374 " " y[1] (numeric) = 1.0368956111780514 " " absolute error = 2.65048889401859900E-2 " " relative error = 2.4924653446409857 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3590000000000002 " " y[1] (analytic) = 1.0637513700958754 " " y[1] (numeric) = 1.0370540246170479 " " absolute error = 2.669734547882751700E-2 " " relative error = 2.509735472906728 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3600000000000002 " " y[1] (analytic) = 1.0641031763220652 " " y[1] (numeric) = 1.0372127893941756 " " absolute error = 2.689038692788958700E-2 " " relative error = 2.5270469561826445 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3610000000000002 " " y[1] (analytic) = 1.0644559184450006 " " y[1] (numeric) = 1.0373719064455074 " " absolute error = 2.708401199949328500E-2 " " relative error = 2.5443995876370984 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3620000000000002 " " y[1] (analytic) = 1.06480959611194 " " y[1] (numeric) = 1.0375313767067633 " " absolute error = 2.727821940517660700E-2 " " relative error = 2.561793160465558 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3630000000000002 " " y[1] (analytic) = 1.065164208969205 " " y[1] (numeric) = 1.037691201113311 " " absolute error = 2.747300785589401600E-2 " " relative error = 2.5792274678925384 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3640000000000002 " " y[1] (analytic) = 1.0655197566621832 " " y[1] (numeric) = 1.0378513806001635 " " absolute error = 2.766837606201977000E-2 " " relative error = 2.596702303173893 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3650000000000002 " " y[1] (analytic) = 1.065876238835327 " " y[1] (numeric) = 1.0380119161019785 " " absolute error = 2.78643227333483800E-2 " " relative error = 2.6142174595988243 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3660000000000002 " " y[1] (analytic) = 1.066233655132154 " " y[1] (numeric) = 1.0381728085530584 " " absolute error = 2.80608465790956900E-2 " " relative error = 2.631772730491957 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3670000000000002 " " y[1] (analytic) = 1.0665920051952482 " " y[1] (numeric) = 1.038334058887348 " " absolute error = 2.82579463079002400E-2 " " relative error = 2.6493679092154263 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3680000000000002 " " y[1] (analytic) = 1.0669512886662593 " " y[1] (numeric) = 1.0384956680384345 " " absolute error = 2.845562062782480700E-2 " " relative error = 2.6670027891709758 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3690000000000002 " " y[1] (analytic) = 1.067311505185904 " " y[1] (numeric) = 1.0386576369395464 " " absolute error = 2.865386824635751700E-2 " " relative error = 2.684677163802015 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3700000000000002 " " y[1] (analytic) = 1.0676726543939656 " " y[1] (numeric) = 1.0388199665235522 " " absolute error = 2.885268787041339600E-2 " " relative error = 2.7023908265957055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3710000000000002 " " y[1] (analytic) = 1.0680347359292952 " " y[1] (numeric) = 1.03898265772296 " " absolute error = 2.905207820633526300E-2 " " relative error = 2.7201435710849893 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3720000000000002 " " y[1] (analytic) = 1.0683977494298116 " " y[1] (numeric) = 1.0391457114699156 " " absolute error = 2.92520379598959500E-2 " " relative error = 2.737935190850724 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3730000000000002 " " y[1] (analytic) = 1.0687616945325005 " " y[1] (numeric) = 1.0393091286962033 " " absolute error = 2.945256583629718400E-2 " " relative error = 2.755765479523513 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3740000000000002 " " y[1] (analytic) = 1.0691265708734172 " " y[1] (numeric) = 1.0394729103332432 " " absolute error = 2.965366054017404000E-2 " " relative error = 2.7736342307860373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3750000000000002 " " y[1] (analytic) = 1.069492378087686 " " y[1] (numeric) = 1.039637057312091 " " absolute error = 2.98553207755949400E-2 " " relative error = 2.791541238374973 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3760000000000002 " " y[1] (analytic) = 1.0698591158094986 " " y[1] (numeric) = 1.0398015705634374 " " absolute error = 3.00575452460611900E-2 " " relative error = 2.809486296082867 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3770000000000002 " " y[1] (analytic) = 1.0702267836721182 " " y[1] (numeric) = 1.0399664510176065 " " absolute error = 3.026033265451167000E-2 " " relative error = 2.827469197760465 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3780000000000002 " " y[1] (analytic) = 1.0705953813078763 " " y[1] (numeric) = 1.0401316996045555 " " absolute error = 3.04636817033208100E-2 " " relative error = 2.845489737318437 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3790000000000002 " " y[1] (analytic) = 1.070964908348176 " " y[1] (numeric) = 1.0402973172538734 " " absolute error = 3.066759109430261500E-2 " " relative error = 2.8635477087296337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3800000000000002 " " y[1] (analytic) = 1.07133536442349 " " y[1] (numeric) = 1.04046330489478 " " absolute error = 3.087205952870997000E-2 " " relative error = 2.881642906030917 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.3810000000000002 " " y[1] (analytic) = 1.0717067491633618 " " y[1] (numeric) = 1.040629663456125 " " absolute error = 3.107708570723688400E-2 " " relative error = 2.8997751233252482 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38200000000000023 " " y[1] (analytic) = 1.0720790621964074 " " y[1] (numeric) = 1.0407963938663873 " " absolute error = 3.128266833002002500E-2 " " relative error = 2.9179441547837044 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38300000000000023 " " y[1] (analytic) = 1.0724523031503133 " " y[1] (numeric) = 1.0409634970536743 " " absolute error = 3.148880609663895500E-2 " " relative error = 2.936149794647374 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38400000000000023 " " y[1] (analytic) = 1.0728264716518388 " " y[1] (numeric) = 1.0411309739457202 " " absolute error = 3.16954977061185700E-2 " " relative error = 2.954391837229443 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38500000000000023 " " y[1] (analytic) = 1.0732015673268154 " " y[1] (numeric) = 1.0412988254698856 " " absolute error = 3.19027418569297600E-2 " " relative error = 2.9726700769171184 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38600000000000023 " " y[1] (analytic) = 1.0735775898001474 " " y[1] (numeric) = 1.0414670525531564 " " absolute error = 3.21105372469909800E-2 " " relative error = 2.9909843081736214 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38700000000000023 " " y[1] (analytic) = 1.0739545386958125 " " y[1] (numeric) = 1.0416356561221431 " " absolute error = 3.23188825736693300E-2 " " relative error = 3.009334325540138 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38800000000000023 " " y[1] (analytic) = 1.0743324136368617 " " y[1] (numeric) = 1.0418046371030796 " " absolute error = 3.25277765337821400E-2 " " relative error = 3.027719923637801 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.38900000000000023 " " y[1] (analytic) = 1.07471121424542 " " y[1] (numeric) = 1.0419739964218224 " " absolute error = 3.27372178235976200E-2 " " relative error = 3.0461408971695887 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39000000000000024 " " y[1] (analytic) = 1.0750909401426871 " " y[1] (numeric) = 1.0421437350038498 " " absolute error = 3.29472051388373100E-2 " " relative error = 3.064597040922373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39100000000000024 " " y[1] (analytic) = 1.0754715909489367 " " y[1] (numeric) = 1.0423138537742607 " " absolute error = 3.31577371746760700E-2 " " relative error = 3.0830881497687463 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39200000000000024 " " y[1] (analytic) = 1.0758531662835187 " " y[1] (numeric) = 1.0424843536577737 " " absolute error = 3.33688126257449800E-2 " " relative error = 3.1016140186690984 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39300000000000024 " " y[1] (analytic) = 1.076235665764857 " " y[1] (numeric) = 1.0426552355787264 " " absolute error = 3.35804301861306600E-2 " " relative error = 3.12017444267337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39400000000000024 " " y[1] (analytic) = 1.076619089010453 " " y[1] (numeric) = 1.0428265004610746 " " absolute error = 3.37925885493783900E-2 " " relative error = 3.1387692169231354 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39500000000000024 " " y[1] (analytic) = 1.077003435636883 " " y[1] (numeric) = 1.0429981492283906 " " absolute error = 3.40052864084923200E-2 " " relative error = 3.1573981366534256 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39600000000000024 " " y[1] (analytic) = 1.0773887052598001 " " y[1] (numeric) = 1.0431701828038635 " " absolute error = 3.421852245593659500E-2 " " relative error = 3.1760609971946185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39700000000000024 " " y[1] (analytic) = 1.0777748974939354 " " y[1] (numeric) = 1.0433426021102972 " " absolute error = 3.443229538363823400E-2 " " relative error = 3.194757593974486 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39800000000000024 " " y[1] (analytic) = 1.0781620119530961 " " y[1] (numeric) = 1.0435154080701097 " " absolute error = 3.46466038829864600E-2 " " relative error = 3.2134877225199165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.39900000000000024 " " y[1] (analytic) = 1.0785500482501682 " " y[1] (numeric) = 1.0436886016053324 " " absolute error = 3.486144664483581400E-2 " " relative error = 3.2322511784589665 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40000000000000024 " " y[1] (analytic) = 1.078939005997115 " " y[1] (numeric) = 1.0438621836376096 " " absolute error = 3.507682235950526600E-2 " " relative error = 3.251047757522547 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40100000000000025 " " y[1] (analytic) = 1.0793288848049793 " " y[1] (numeric) = 1.0440361550881967 " " absolute error = 3.529272971678265600E-2 " " relative error = 3.2698772555465885 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40200000000000025 " " y[1] (analytic) = 1.0797196842838819 " " y[1] (numeric) = 1.0442105168779596 " " absolute error = 3.55091674059222500E-2 " " relative error = 3.2887394684735702 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40300000000000025 " " y[1] (analytic) = 1.0801114040430235 " " y[1] (numeric) = 1.0443852699273741 " " absolute error = 3.5726134115649400E-2 " " relative error = 3.3076341923546932 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40400000000000025 " " y[1] (analytic) = 1.0805040436906848 " " y[1] (numeric) = 1.0445604151565249 " " absolute error = 3.59436285341598900E-2 " " relative error = 3.326561223351557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40500000000000025 " " y[1] (analytic) = 1.0808976028342254 " " y[1] (numeric) = 1.044735953485104 " " absolute error = 3.61616493491214700E-2 " " relative error = 3.3455203577380397 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40600000000000025 " " y[1] (analytic) = 1.0812920810800866 " " y[1] (numeric) = 1.0449118858324105 " " absolute error = 3.638019524767610600E-2 " " relative error = 3.3645113919022203 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40700000000000025 " " y[1] (analytic) = 1.0816874780337904 " " y[1] (numeric) = 1.0450882131173498 " " absolute error = 3.65992649164406100E-2 " " relative error = 3.383534122348165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40800000000000025 " " y[1] (analytic) = 1.0820837932999394 " " y[1] (numeric) = 1.0452649362584319 " " absolute error = 3.68188570415075600E-2 " " relative error = 3.4025883456977213 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.40900000000000025 " " y[1] (analytic) = 1.0824810264822187 " " y[1] (numeric) = 1.0454420561737714 " " absolute error = 3.70389703084472700E-2 " " relative error = 3.4216738586924036 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41000000000000025 " " y[1] (analytic) = 1.082879177183395 " " y[1] (numeric) = 1.0456195737810858 " " absolute error = 3.72596034023091600E-2 " " relative error = 3.44079045819522 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41100000000000025 " " y[1] (analytic) = 1.0832782450053178 " " y[1] (numeric) = 1.045797489997695 " " absolute error = 3.748075500762282400E-2 " " relative error = 3.459937941192462 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41200000000000025 " " y[1] (analytic) = 1.083678229548919 " " y[1] (numeric) = 1.0459758057405202 " " absolute error = 3.77024238083987200E-2 " " relative error = 3.4791161047954575 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41300000000000026 " " y[1] (analytic) = 1.0840791304142146 " " y[1] (numeric) = 1.046154521926083 " " absolute error = 3.792460848813150600E-2 " " relative error = 3.4983247462425493 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41400000000000026 " " y[1] (analytic) = 1.0844809472003032 " " y[1] (numeric) = 1.0463336394705052 " " absolute error = 3.81473077297980200E-2 " " relative error = 3.5175636629005917 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41500000000000026 " " y[1] (analytic) = 1.0848836795053685 " " y[1] (numeric) = 1.0465131592895063 " " absolute error = 3.83705202158621800E-2 " " relative error = 3.5368326522670586 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41600000000000026 " " y[1] (analytic) = 1.0852873269266778 " " y[1] (numeric) = 1.0466930822984042 " " absolute error = 3.859424462827365500E-2 " " relative error = 3.556131511971584 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41700000000000026 " " y[1] (analytic) = 1.085691889060584 " " y[1] (numeric) = 1.0468734094121135 " " absolute error = 3.881847964847051600E-2 " " relative error = 3.575460039777856 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41800000000000026 " " y[1] (analytic) = 1.0860973655025252 " " y[1] (numeric) = 1.0470541415451444 " " absolute error = 3.9043223957380800E-2 " " relative error = 3.5948180335854083 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.41900000000000026 " " y[1] (analytic) = 1.0865037558470245 " " y[1] (numeric) = 1.0472352796116025 " " absolute error = 3.92684762354220700E-2 " " relative error = 3.6142052914312166 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42000000000000026 " " y[1] (analytic) = 1.0869110596876919 " " y[1] (numeric) = 1.047416824525187 " " absolute error = 3.94942351625049400E-2 " " relative error = 3.6336216114916557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42100000000000026 " " y[1] (analytic) = 1.0873192766172235 " " y[1] (numeric) = 1.0475987771991906 " " absolute error = 3.972049941803290600E-2 " " relative error = 3.6530667920841053 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42200000000000026 " " y[1] (analytic) = 1.0877284062274024 " " y[1] (numeric) = 1.0477811385464981 " " absolute error = 3.994726768090428600E-2 " " relative error = 3.672540631668751 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42300000000000026 " " y[1] (analytic) = 1.088138448109099 " " y[1] (numeric) = 1.0479639094795856 " " absolute error = 4.01745386295133700E-2 " " relative error = 3.6920429288502987 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42400000000000027 " " y[1] (analytic) = 1.0885494018522717 " " y[1] (numeric) = 1.0481470909105197 " " absolute error = 4.04023109417519500E-2 " " relative error = 3.711573482379718 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42500000000000027 " " y[1] (analytic) = 1.0889612670459665 " " y[1] (numeric) = 1.0483306837509567 " " absolute error = 4.06305832950097900E-2 " " relative error = 3.731132091155885 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42600000000000027 " " y[1] (analytic) = 1.089374043278318 " " y[1] (numeric) = 1.048514688912141 " " absolute error = 4.08593543661770500E-2 " " relative error = 3.7507185542273946 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42700000000000027 " " y[1] (analytic) = 1.089787730136551 " " y[1] (numeric) = 1.048699107304905 " " absolute error = 4.10886228316460500E-2 " " relative error = 3.770332670794304 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42800000000000027 " " y[1] (analytic) = 1.0902023272069776 " " y[1] (numeric) = 1.0488839398396679 " " absolute error = 4.13183873673097500E-2 " " relative error = 3.7899742402095744 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.42900000000000027 " " y[1] (analytic) = 1.0906178340750012 " " y[1] (numeric) = 1.0490691874264346 " " absolute error = 4.15486466485666100E-2 " " relative error = 3.80964306198108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43000000000000027 " " y[1] (analytic) = 1.091034250325115 " " y[1] (numeric) = 1.049254850974795 " " absolute error = 4.177939935031993500E-2 " " relative error = 3.8293389357731145 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.43100000000000027 " " y[1] (analytic) = 1.0914515755409027 " " y[1] (numeric) = 1.049440931393923 " " absolute error = 4.20106441469796370E-2 " " relative error = 3.8490616614081077 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4320000000000003 " " y[1] (analytic) = 1.0918698093050392 " " y[1] (numeric) = 1.0496274295925758 " " absolute error = 4.22423797124633600E-2 " " relative error = 3.868811038868277 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4330000000000003 " " y[1] (analytic) = 1.0922889511992906 " " y[1] (numeric) = 1.0498143464790928 " " absolute error = 4.24746047201978170E-2 " " relative error = 3.8885868682972906 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4340000000000003 " " y[1] (analytic) = 1.0927090008045153 " " y[1] (numeric) = 1.0500016829613945 " " absolute error = 4.27073178431207600E-2 " " relative error = 3.9083889500019837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4350000000000003 " " y[1] (analytic) = 1.0931299577006635 " " y[1] (numeric) = 1.050189439946982 " " absolute error = 4.29405177536814600E-2 " " relative error = 3.9282170844539284 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4360000000000003 " " y[1] (analytic) = 1.0935518214667783 " " y[1] (numeric) = 1.0503776183429356 " " absolute error = 4.31742031238426800E-2 " " relative error = 3.948071072291136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4370000000000003 " " y[1] (analytic) = 1.0939745916809964 " " y[1] (numeric) = 1.0505662190559146 " " absolute error = 4.34083726250817900E-2 " " relative error = 3.96795071431967 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4380000000000003 " " y[1] (analytic) = 1.094398267920547 " " y[1] (numeric) = 1.0507552429921558 " " absolute error = 4.36430249283912300E-2 " " relative error = 3.9878558115152 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4390000000000003 " " y[1] (analytic) = 1.0948228497617545 " " y[1] (numeric) = 1.0509446910574727 " " absolute error = 4.3878158704281800E-2 " " relative error = 4.007786165024796 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4400000000000003 " " y[1] (analytic) = 1.0952483367800367 " " y[1] (numeric) = 1.0511345641572547 " " absolute error = 4.411377262278204400E-2 " " relative error = 4.027741576168364 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4410000000000003 " " y[1] (analytic) = 1.0956747285499067 " " y[1] (numeric) = 1.0513248631964662 " " absolute error = 4.43498653534404300E-2 " " relative error = 4.047721846440337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4420000000000003 " " y[1] (analytic) = 1.0961020246449729 " " y[1] (numeric) = 1.051515589079646 " " absolute error = 4.45864355653269300E-2 " " relative error = 4.067726777511288 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4430000000000003 " " y[1] (analytic) = 1.096530224637939 " " y[1] (numeric) = 1.0517067427109053 " " absolute error = 4.48234819270336700E-2 " " relative error = 4.087756171229466 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4440000000000003 " " y[1] (analytic) = 1.0969593281006051 " " y[1] (numeric) = 1.051898324993928 " " absolute error = 4.506100310667715500E-2 " " relative error = 4.10780982962246 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4450000000000003 " " y[1] (analytic) = 1.097389334603868 " " y[1] (numeric) = 1.0520903368319696 " " absolute error = 4.529899777189827500E-2 " " relative error = 4.12788755489866 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4460000000000003 " " y[1] (analytic) = 1.0978202437177211 " " y[1] (numeric) = 1.0522827791278557 " " absolute error = 4.553746458986540600E-2 " " relative error = 4.1479891494489785 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4470000000000003 " " y[1] (analytic) = 1.0982520550112551 " " y[1] (numeric) = 1.0524756527839814 " " absolute error = 4.57764022272737500E-2 " " relative error = 4.1681144158482475 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4480000000000003 " " y[1] (analytic) = 1.0986847680526592 " " y[1] (numeric) = 1.0526689587023106 " " absolute error = 4.60158093503486600E-2 " " relative error = 4.18826315685694 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4490000000000003 " " y[1] (analytic) = 1.0991183824092199 " " y[1] (numeric) = 1.052862697784375 " " absolute error = 4.62556846248449700E-2 " " relative error = 4.208435175422553 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4500000000000003 " " y[1] (analytic) = 1.0995528976473232 " " y[1] (numeric) = 1.0530568709312726 " " absolute error = 4.649602671605057600E-2 " " relative error = 4.2286302746813345 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4510000000000003 " " y[1] (analytic) = 1.099988313332454 " " y[1] (numeric) = 1.0532514790436682 " " absolute error = 4.67368342887857200E-2 " " relative error = 4.248848257959652 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4520000000000003 " " y[1] (analytic) = 1.1004246290291961 " " y[1] (numeric) = 1.053446523021791 " " absolute error = 4.69781060074050400E-2 " " relative error = 4.269088928775570 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4530000000000003 " " y[1] (analytic) = 1.1008618443012343 " " y[1] (numeric) = 1.0536420037654348 " " absolute error = 4.72198405357995300E-2 " " relative error = 4.289352090840431 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4540000000000003 " " y[1] (analytic) = 1.1012999587113534 " " y[1] (numeric) = 1.053837922173956 " " absolute error = 4.746203653739744500E-2 " " relative error = 4.309637548060334 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4550000000000003 " " y[1] (analytic) = 1.101738971821439 " " y[1] (numeric) = 1.0540342791462738 " " absolute error = 4.770469267516519500E-2 " " relative error = 4.329945104537591 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4560000000000003 " " y[1] (analytic) = 1.1021788831924777 " " y[1] (numeric) = 1.0542310755808688 " " absolute error = 4.794780761160888400E-2 " " relative error = 4.350274564572254 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4570000000000003 " " y[1] (analytic) = 1.1026196923845586 " " y[1] (numeric) = 1.054428312375782 " " absolute error = 4.81913800087765400E-2 " " relative error = 4.370625732663672 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4580000000000003 " " y[1] (analytic) = 1.1030613989568723 " " y[1] (numeric) = 1.0546259904286144 " " absolute error = 4.843540852825789500E-2 " " relative error = 4.390998413511851 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4590000000000003 " " y[1] (analytic) = 1.1035040024677123 " " y[1] (numeric) = 1.054824110636525 " " absolute error = 4.86798918311872600E-2 " " relative error = 4.411392412019058 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4600000000000003 " " y[1] (analytic) = 1.103947502474475 " " y[1] (numeric) = 1.0550226738962314 " " absolute error = 4.89248285782435400E-2 " " relative error = 4.431807533291173 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4610000000000003 " " y[1] (analytic) = 1.1043918985336605 " " y[1] (numeric) = 1.0552216811040078 " " absolute error = 4.91702174296526630E-2 " " relative error = 4.452243582639249 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4620000000000003 " " y[1] (analytic) = 1.104837190200873 " " y[1] (numeric) = 1.0554211331556844 " " absolute error = 4.94160570451884800E-2 " " relative error = 4.472700365580926 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4630000000000003 " " y[1] (analytic) = 1.1052833770308206 " " y[1] (numeric) = 1.0556210309466467 " " absolute error = 4.96623460841738600E-2 " " relative error = 4.493177687841861 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4640000000000003 " " y[1] (analytic) = 1.1057304585773164 " " y[1] (numeric) = 1.0558213753718346 " " absolute error = 4.99090832054818200E-2 " " relative error = 4.513675355357140 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4650000000000003 " " y[1] (analytic) = 1.1061784343932795 " " y[1] (numeric) = 1.056022167325741 " " absolute error = 5.015626706753840000E-2 " " relative error = 4.534193174272854 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4660000000000003 " " y[1] (analytic) = 1.1066273040307335 " " y[1] (numeric) = 1.0562234077024115 " " absolute error = 5.040389632832198000E-2 " " relative error = 4.554730950947344 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4670000000000003 " " y[1] (analytic) = 1.1070770670408092 " " y[1] (numeric) = 1.0564250973954432 " " absolute error = 5.065196964536600E-2 " " relative error = 4.575288491952734 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4680000000000003 " " y[1] (analytic) = 1.1075277229737432 " " y[1] (numeric) = 1.056627237297984 " " absolute error = 5.09004856757593300E-2 " " relative error = 4.595865604076265 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4690000000000003 " " y[1] (analytic) = 1.10797927137888 " " y[1] (numeric) = 1.056829828302731 " " absolute error = 5.11494430761489900E-2 " " relative error = 4.616462094321811 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4700000000000003 " " y[1] (analytic) = 1.1084317118046711 " " y[1] (numeric) = 1.0570328713019315 " " absolute error = 5.139884050273968000E-2 " " relative error = 4.6370777699111185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4710000000000003 " " y[1] (analytic) = 1.1088850437986761 " " y[1] (numeric) = 1.0572363671873795 " " absolute error = 5.164867661129668000E-2 " " relative error = 4.657712438285332 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4720000000000003 " " y[1] (analytic) = 1.109339266907563 " " y[1] (numeric) = 1.0574403168504167 " " absolute error = 5.18989500571462900E-2 " " relative error = 4.678365907106290 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4730000000000003 " " y[1] (analytic) = 1.109794380677109 " " y[1] (numeric) = 1.057644721181931 " " absolute error = 5.2149659495177800E-2 " " relative error = 4.699037984257966 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4740000000000003 " " y[1] (analytic) = 1.1102503846521998 " " y[1] (numeric) = 1.0578495810723558 " " absolute error = 5.240080357984400E-2 " " relative error = 4.719728477847744 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4750000000000003 " " y[1] (analytic) = 1.110707278376832 " " y[1] (numeric) = 1.0580548974116684 " " absolute error = 5.26523809651635600E-2 " " relative error = 4.740437196207881 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4760000000000003 " " y[1] (analytic) = 1.1111650613941115 " " y[1] (numeric) = 1.05826067108939 " " absolute error = 5.290439030472149000E-2 " " relative error = 4.761163947896774 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4770000000000003 " " y[1] (analytic) = 1.1116237332462557 " " y[1] (numeric) = 1.0584669029945846 " " absolute error = 5.31568302516711700E-2 " " relative error = 4.781908541700364 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4780000000000003 " " y[1] (analytic) = 1.1120832934745928 " " y[1] (numeric) = 1.0586735940158576 " " absolute error = 5.340969945873519000E-2 " " relative error = 4.802670786633431 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4790000000000003 " " y[1] (analytic) = 1.112543741619562 " " y[1] (numeric) = 1.0588807450413555 " " absolute error = 5.3662996578206500E-2 " " relative error = 4.823450491940903 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4800000000000003 " " y[1] (analytic) = 1.1130050772207158 " " y[1] (numeric) = 1.059088356958765 " " absolute error = 5.39167202619508200E-2 " " relative error = 4.844247467099272 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4810000000000003 " " y[1] (analytic) = 1.1134672998167185 " " y[1] (numeric) = 1.0592964306553116 " " absolute error = 5.4170869161406900E-2 " " relative error = 4.8650615218178075 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4820000000000003 " " y[1] (analytic) = 1.1139304089453477 " " y[1] (numeric) = 1.0595049670177592 " " absolute error = 5.44254419275884700E-2 " " relative error = 4.885892466039925 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4830000000000003 " " y[1] (analytic) = 1.114394404143494 " " y[1] (numeric) = 1.0597139669324087 " " absolute error = 5.4680437211085400E-2 " " relative error = 4.906740109944460 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4840000000000003 " " y[1] (analytic) = 1.1148592849471624 " " y[1] (numeric) = 1.0599234312850978 " " absolute error = 5.49358536620645500E-2 " " relative error = 4.927604263946923 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4850000000000003 " " y[1] (analytic) = 1.1153250508914718 " " y[1] (numeric) = 1.0601333609611996 " " absolute error = 5.519168993027224000E-2 " " relative error = 4.9484847387008735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4860000000000003 " " y[1] (analytic) = 1.1157917015106569 " " y[1] (numeric) = 1.060343756845622 " " absolute error = 5.54479446650348900E-2 " " relative error = 4.969381345099142 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4870000000000003 " " y[1] (analytic) = 1.1162592363380666 " " y[1] (numeric) = 1.0605546198228066 " " absolute error = 5.57046165152599300E-2 " " relative error = 4.990293894275059 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4880000000000003 " " y[1] (analytic) = 1.1167276549061664 " " y[1] (numeric) = 1.060765950776728 " " absolute error = 5.59617041294384600E-2 " " relative error = 5.011222197603826 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4890000000000003 " " y[1] (analytic) = 1.1171969567465376 " " y[1] (numeric) = 1.0609777505908926 " " absolute error = 5.62192061556450200E-2 " " relative error = 5.032166066703641 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4900000000000003 " " y[1] (analytic) = 1.1176671413898787 " " y[1] (numeric) = 1.0611900201483384 " " absolute error = 5.64771212415402500E-2 " " relative error = 5.053125313437053 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4910000000000003 " " y[1] (analytic) = 1.1181382083660047 " " y[1] (numeric) = 1.0614027603316332 " " absolute error = 5.67354480343715800E-2 " " relative error = 5.074099749912144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4920000000000003 " " y[1] (analytic) = 1.118610157203849 " " y[1] (numeric) = 1.0616159720228742 " " absolute error = 5.699418518097477000E-2 " " relative error = 5.095089188483784 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4930000000000003 " " y[1] (analytic) = 1.1190829874314625 " " y[1] (numeric) = 1.0618296561036873 " " absolute error = 5.725333132777521000E-2 " " relative error = 5.116093441754842 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.4940000000000003 " " y[1] (analytic) = 1.119556698576015 " " y[1] (numeric) = 1.062043813455226 " " absolute error = 5.751288512078911000E-2 " " relative error = 5.137112322577393 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49500000000000033 " " y[1] (analytic) = 1.1200312901637959 " " y[1] (numeric) = 1.0622584449581702 " " absolute error = 5.777284520562564000E-2 " " relative error = 5.158145644053999 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49600000000000033 " " y[1] (analytic) = 1.1205067617202134 " " y[1] (numeric) = 1.0624735514927262 " " absolute error = 5.8033210227487200E-2 " " relative error = 5.179193219538812 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49700000000000033 " " y[1] (analytic) = 1.1209831127697956 " " y[1] (numeric) = 1.0626891339386249 " " absolute error = 5.82939788311707100E-2 " " relative error = 5.200254862638768 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49800000000000033 " " y[1] (analytic) = 1.1214603428361918 " " y[1] (numeric) = 1.0629051931751212 " " absolute error = 5.85551496610705600E-2 " " relative error = 5.221330387214907 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.49900000000000033 " " y[1] (analytic) = 1.1219384514421717 " " y[1] (numeric) = 1.0631217300809936 " " absolute error = 5.881672136117810000E-2 " " relative error = 5.2424196073834 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5000000000000003 " " y[1] (analytic) = 1.1224174381096275 " " y[1] (numeric) = 1.0633387455345427 " " absolute error = 5.9078692575084800E-2 " " relative error = 5.263522337516867 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5010000000000003 " " y[1] (analytic) = 1.1228973023595716 " " y[1] (numeric) = 1.0635562404135903 " " absolute error = 5.93410619459813200E-2 " " relative error = 5.284638392245355 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5020000000000003 " " y[1] (analytic) = 1.1233780437121408 " " y[1] (numeric) = 1.0637742155954792 " " absolute error = 5.96038281166615400E-2 " " relative error = 5.305767586457715 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5030000000000003 " " y[1] (analytic) = 1.1238596616865928 " " y[1] (numeric) = 1.0639926719570716 " " absolute error = 5.9866989729521200E-2 " " relative error = 5.326909735302531 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5040000000000003 " " y[1] (analytic) = 1.12434215580131 " " y[1] (numeric) = 1.0642116103747488 " " absolute error = 6.013054542656127000E-2 " " relative error = 5.348064654189426 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5050000000000003 " " y[1] (analytic) = 1.1248255255737987 " " y[1] (numeric) = 1.06443103172441 " " absolute error = 6.039449384938878000E-2 " " relative error = 5.369232158790155 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5060000000000003 " " y[1] (analytic) = 1.125309770520689 " " y[1] (numeric) = 1.064650936881471 " " absolute error = 6.06588336392179800E-2 " " relative error = 5.390412065039718 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5070000000000003 " " y[1] (analytic) = 1.1257948901577357 " " y[1] (numeric) = 1.0648713267208643 " " absolute error = 6.09235634368714400E-2 " " relative error = 5.411604189137456 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5080000000000003 " " y[1] (analytic) = 1.1262808839998195 " " y[1] (numeric) = 1.0650922021170377 " " absolute error = 6.118868188278181000E-2 " " relative error = 5.432808347548196 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5090000000000003 " " y[1] (analytic) = 1.1267677515609464 " " y[1] (numeric) = 1.0653135639439533 " " absolute error = 6.14541876169931700E-2 " " relative error = 5.454024357003364 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5100000000000003 " " y[1] (analytic) = 1.1272554923542488 " " y[1] (numeric) = 1.0655354130750867 " " absolute error = 6.17200792791621200E-2 " " relative error = 5.475252034502051 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5110000000000003 " " y[1] (analytic) = 1.1277441058919864 " " y[1] (numeric) = 1.0657577503834263 " " absolute error = 6.19863555085600200E-2 " " relative error = 5.496491197312183 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5120000000000003 " " y[1] (analytic) = 1.1282335916855453 " " y[1] (numeric) = 1.0659805767414723 " " absolute error = 6.22530149440729800E-2 " " relative error = 5.51774166297149 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5130000000000003 " " y[1] (analytic) = 1.12872394924544 " " y[1] (numeric) = 1.0662038930212359 " " absolute error = 6.25200562242040900E-2 " " relative error = 5.53900324928865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5140000000000003 " " y[1] (analytic) = 1.1292151780813127 " " y[1] (numeric) = 1.0664277000942382 " " absolute error = 6.27874779870745100E-2 " " relative error = 5.560275774344339 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5150000000000003 " " y[1] (analytic) = 1.1297072777019346 " " y[1] (numeric) = 1.0666519988315097 " " absolute error = 6.30552788704248400E-2 " " relative error = 5.58155905649229 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5160000000000003 " " y[1] (analytic) = 1.1302002476152064 " " y[1] (numeric) = 1.0668767901035894 " " absolute error = 6.33234575116170500E-2 " " relative error = 5.6028529143604 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5170000000000003 " " y[1] (analytic) = 1.1306940873281583 " " y[1] (numeric) = 1.067102074780523 " " absolute error = 6.35920125476352500E-2 " " relative error = 5.6241571668517185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5180000000000003 " " y[1] (analytic) = 1.1311887963469505 " " y[1] (numeric) = 1.067327853731864 " " absolute error = 6.38609426150864600E-2 " " relative error = 5.645471633145442 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5190000000000003 " " y[1] (analytic) = 1.1316843741768736 " " y[1] (numeric) = 1.0675541278266705 " " absolute error = 6.41302463502031500E-2 " " relative error = 5.666796132698045 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5200000000000004 " " y[1] (analytic) = 1.1321808203223502 " " y[1] (numeric) = 1.067780897933506 " " absolute error = 6.43999223888442900E-2 " " relative error = 5.6881304852442724 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5210000000000004 " " y[1] (analytic) = 1.1326781342869343 " " y[1] (numeric) = 1.0680081649204378 " " absolute error = 6.4669969366496490E-2 " " relative error = 5.709474510798144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5220000000000004 " " y[1] (analytic) = 1.1331763155733119 " " y[1] (numeric) = 1.0682359296550368 " " absolute error = 6.49403859182751100E-2 " " relative error = 5.730828029653937 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5230000000000004 " " y[1] (analytic) = 1.1336753636833015 " " y[1] (numeric) = 1.0684641930043755 " " absolute error = 6.52111706789260100E-2 " " relative error = 5.752190862387225 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5240000000000004 " " y[1] (analytic) = 1.1341752781178553 " " y[1] (numeric) = 1.068692955835028 " " absolute error = 6.54823222828273500E-2 " " relative error = 5.773562829855907 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5250000000000004 " " y[1] (analytic) = 1.134676058377059 " " y[1] (numeric) = 1.0689222190130692 " " absolute error = 6.57538393639898200E-2 " " relative error = 5.794943753201098 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5260000000000004 " " y[1] (analytic) = 1.135177703960132 " " y[1] (numeric) = 1.0691519834040732 " " absolute error = 6.60257205560588200E-2 " " relative error = 5.816333453848180 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5270000000000004 " " y[1] (analytic) = 1.135680214365429 " " y[1] (numeric) = 1.0693822498731134 " " absolute error = 6.62979644923156200E-2 " " relative error = 5.837731753507758 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5280000000000004 " " y[1] (analytic) = 1.1361835890904395 " " y[1] (numeric) = 1.0696130192847604 " " absolute error = 6.6570569805679100E-2 " " relative error = 5.859138474176652 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5290000000000004 " " y[1] (analytic) = 1.136687827631789 " " y[1] (numeric) = 1.0698442925030827 " " absolute error = 6.68435351287064400E-2 " " relative error = 5.8805534381388025 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5300000000000004 " " y[1] (analytic) = 1.1371929294852392 " " y[1] (numeric) = 1.0700760703916443 " " absolute error = 6.71168590935948800E-2 " " relative error = 5.901976467966253 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5310000000000004 " " y[1] (analytic) = 1.1376988941456878 " " y[1] (numeric) = 1.0703083538135052 " " absolute error = 6.73905403321826100E-2 " " relative error = 5.923407386520052 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5320000000000004 " " y[1] (analytic) = 1.1382057211071703 " " y[1] (numeric) = 1.070541143631219 " " absolute error = 6.76645774759512300E-2 " " relative error = 5.944846016951281 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5330000000000004 " " y[1] (analytic) = 1.1387134098628602 " " y[1] (numeric) = 1.070774440706834 " " absolute error = 6.79389691560261500E-2 " " relative error = 5.966292182701907 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5340000000000004 " " y[1] (analytic) = 1.1392219599050681 " " y[1] (numeric) = 1.0710082459018901 " " absolute error = 6.821371400317799E-2 " " relative error = 5.987745707505697 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5350000000000004 " " y[1] (analytic) = 1.1397313707252446 " " y[1] (numeric) = 1.0712425600774198 " " absolute error = 6.84888106478247500E-2 " " relative error = 6.009206415389207 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5360000000000004 " " y[1] (analytic) = 1.1402416418139785 " " y[1] (numeric) = 1.0714773840939464 " " absolute error = 6.87642577200320300E-2 " " relative error = 6.030674130672591 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5370000000000004 " " y[1] (analytic) = 1.140752772660999 " " y[1] (numeric) = 1.0717127188114834 " " absolute error = 6.9040053849515500E-2 " " relative error = 6.052148677970590 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5380000000000004 " " y[1] (analytic) = 1.1412647627551753 " " y[1] (numeric) = 1.0719485650895337 " " absolute error = 6.93161976656415700E-2 " " relative error = 6.073629882193368 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5390000000000004 " " y[1] (analytic) = 1.141777611584517 " " y[1] (numeric) = 1.0721849237870886 " " absolute error = 6.95926877974284400E-2 " " relative error = 6.095117568547370 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5400000000000004 " " y[1] (analytic) = 1.142291318636176 " " y[1] (numeric) = 1.0724217957626268 " " absolute error = 6.9869522873549310E-2 " " relative error = 6.1166115625363515 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5410000000000004 " " y[1] (analytic) = 1.1428058833964447 " " y[1] (numeric) = 1.0726591818741136 " " absolute error = 7.01467015223311600E-2 " " relative error = 6.138111689962042 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5420000000000004 " " y[1] (analytic) = 1.1433213053507587 " " y[1] (numeric) = 1.0728970829790005 " " absolute error = 7.04242223717581600E-2 " " relative error = 6.159617776925163 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5430000000000004 " " y[1] (analytic) = 1.1438375839836958 " " y[1] (numeric) = 1.0731354999342242 " " absolute error = 7.07020840494716500E-2 " " relative error = 6.181129649826179 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5440000000000004 " " y[1] (analytic) = 1.1443547187789775 " " y[1] (numeric) = 1.073374433596205 " " absolute error = 7.09802851827725500E-2 " " relative error = 6.202647135366232 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5450000000000004 " " y[1] (analytic) = 1.1448727092194693 " " y[1] (numeric) = 1.073613884820847 " " absolute error = 7.1258824398622300E-2 " " relative error = 6.224170060547942 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5460000000000004 " " y[1] (analytic) = 1.1453915547871807 " " y[1] (numeric) = 1.073853854463536 " " absolute error = 7.15377003236445900E-2 " " relative error = 6.245698252676277 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5470000000000004 " " y[1] (analytic) = 1.145911254963266 " " y[1] (numeric) = 1.0740943433791406 " " absolute error = 7.1816911584125400E-2 " " relative error = 6.267231539359268 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5480000000000004 " " y[1] (analytic) = 1.1464318092280252 " " y[1] (numeric) = 1.0743353524220087 " " absolute error = 7.2096456806016510E-2 " " relative error = 6.288769748509004 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5490000000000004 " " y[1] (analytic) = 1.1469532170609038 " " y[1] (numeric) = 1.0745768824459692 " " absolute error = 7.23763346149346500E-2 " " relative error = 6.310312708342264 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5500000000000004 " " y[1] (analytic) = 1.1474754779404943 " " y[1] (numeric) = 1.0748189343043293 " " absolute error = 7.26565436361650300E-2 " " relative error = 6.331860247381499 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5510000000000004 " " y[1] (analytic) = 1.147998591344536 " " y[1] (numeric) = 1.0750615088498747 " " absolute error = 7.29370824946613500E-2 " " relative error = 6.353412194455520 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5520000000000004 " " y[1] (analytic) = 1.1485225567499153 " " y[1] (numeric) = 1.0753046069348686 " " absolute error = 7.3217949815046700E-2 " " relative error = 6.374968378700247 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5530000000000004 " " y[1] (analytic) = 1.149047373632667 " " y[1] (numeric) = 1.07554822941105 " " absolute error = 7.34991442216168500E-2 " " relative error = 6.396528629559656 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5540000000000004 " " y[1] (analytic) = 1.1495730414679741 " " y[1] (numeric) = 1.0757923771296345 " " absolute error = 7.37806643383396300E-2 " " relative error = 6.418092776786388 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5550000000000004 " " y[1] (analytic) = 1.1500995597301689 " " y[1] (numeric) = 1.0760370509413115 " " absolute error = 7.40625087888573400E-2 " " relative error = 6.439660650442606 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5560000000000004 " " y[1] (analytic) = 1.1506269278927328 " " y[1] (numeric) = 1.0762822516962447 " " absolute error = 7.4344676196488100E-2 " " relative error = 6.46123208090076 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5570000000000004 " " y[1] (analytic) = 1.1511551454282984 " " y[1] (numeric) = 1.076527980244071 " " absolute error = 7.4627165184227410E-2 " " relative error = 6.482806898844347 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5580000000000004 " " y[1] (analytic) = 1.1516842118086477 " " y[1] (numeric) = 1.0767742374338993 " " absolute error = 7.49099743747483300E-2 " " relative error = 6.504384935268577 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5590000000000004 " " y[1] (analytic) = 1.1522141265047146 " " y[1] (numeric) = 1.0770210241143099 " " absolute error = 7.51931023904046600E-2 " " relative error = 6.525966021481251 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5600000000000004 " " y[1] (analytic) = 1.1527448889865841 " " y[1] (numeric) = 1.0772683411333537 " " absolute error = 7.54765478532304400E-2 " " relative error = 6.547549989103343 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5610000000000004 " " y[1] (analytic) = 1.153276498723494 " " y[1] (numeric) = 1.0775161893385512 " " absolute error = 7.57603093849428300E-2 " " relative error = 6.569136670069861 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5620000000000004 " " y[1] (analytic) = 1.1538089551838349 " " y[1] (numeric) = 1.0777645695768916 " " absolute error = 7.60443856069432700E-2 " " relative error = 6.59072589663054 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5630000000000004 " " y[1] (analytic) = 1.1543422578351499 " " y[1] (numeric) = 1.0780134826948322 " " absolute error = 7.63287751403176600E-2 " " relative error = 6.61231750135046 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5640000000000004 " " y[1] (analytic) = 1.1548764061441368 " " y[1] (numeric) = 1.0782629295382975 " " absolute error = 7.66134766058392800E-2 " " relative error = 6.633911317110878 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5650000000000004 " " y[1] (analytic) = 1.1554113995766468 " " y[1] (numeric) = 1.078512910952678 " " absolute error = 7.68984886239687500E-2 " " relative error = 6.65550717710982 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5660000000000004 " " y[1] (analytic) = 1.1559472375976871 " " y[1] (numeric) = 1.07876342778283 " " absolute error = 7.71838098148571700E-2 " " relative error = 6.677104914862907 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5670000000000004 " " y[1] (analytic) = 1.1564839196714196 " " y[1] (numeric) = 1.079014480873074 " " absolute error = 7.74694387983456700E-2 " " relative error = 6.698704364203897 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5680000000000004 " " y[1] (analytic) = 1.1570214452611618 " " y[1] (numeric) = 1.0792660710671944 " " absolute error = 7.77553741939673900E-2 " " relative error = 6.720305359285412 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5690000000000004 " " y[1] (analytic) = 1.1575598138293888 " " y[1] (numeric) = 1.0795181992084388 " " absolute error = 7.80416146209499400E-2 " " relative error = 6.7419077345797005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5700000000000004 " " y[1] (analytic) = 1.1580990248377314 " " y[1] (numeric) = 1.0797708661395164 " " absolute error = 7.83281586982149700E-2 " " relative error = 6.7635113248791505 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5710000000000004 " " y[1] (analytic) = 1.1586390777469793 " " y[1] (numeric) = 1.0800240727025978 " " absolute error = 7.86150050443814600E-2 " " relative error = 6.785115965297107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5720000000000004 " " y[1] (analytic) = 1.1591799720170792 " " y[1] (numeric) = 1.080277819739314 " " absolute error = 7.89021522777653100E-2 " " relative error = 6.806721491268380 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5730000000000004 " " y[1] (analytic) = 1.159721707107137 " " y[1] (numeric) = 1.080532108090755 " " absolute error = 7.918959901638201E-2 " " relative error = 6.828327738549981 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5740000000000004 " " y[1] (analytic) = 1.160264282475418 " " y[1] (numeric) = 1.0807869385974707 " " absolute error = 7.94773438779472500E-2 " " relative error = 6.849934543221717 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5750000000000004 " " y[1] (analytic) = 1.160807697579346 " " y[1] (numeric) = 1.0810423120994677 " " absolute error = 7.97653854798783300E-2 " " relative error = 6.871541741686808 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5760000000000004 " " y[1] (analytic) = 1.1613519518755069 " " y[1] (numeric) = 1.08129822943621 " " absolute error = 8.00537224392969800E-2 " " relative error = 6.893149170672637 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5770000000000004 " " y[1] (analytic) = 1.161897044819646 " " y[1] (numeric) = 1.0815546914466176 " " absolute error = 8.03423533730283100E-2 " " relative error = 6.9147566672311624 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5780000000000004 " " y[1] (analytic) = 1.1624429758666701 " " y[1] (numeric) = 1.0818116989690665 " " absolute error = 8.06312768976036300E-2 " " relative error = 6.9363640687396515 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5790000000000004 " " y[1] (analytic) = 1.1629897444706487 " " y[1] (numeric) = 1.0820692528413864 " " absolute error = 8.09204916292622900E-2 " " relative error = 6.957971212901315 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5800000000000004 " " y[1] (analytic) = 1.1635373500848134 " " y[1] (numeric) = 1.0823273539008609 " " absolute error = 8.12099961839525300E-2 " " relative error = 6.979577937745867 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5810000000000004 " " y[1] (analytic) = 1.164085792161558 " " y[1] (numeric) = 1.0825860029842265 " " absolute error = 8.14997891773314700E-2 " " relative error = 7.001184081629999 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5820000000000004 " " y[1] (analytic) = 1.1646350701524408 " " y[1] (numeric) = 1.0828452009276717 " " absolute error = 8.17898692247691600E-2 " " relative error = 7.022789483238175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5830000000000004 " " y[1] (analytic) = 1.165185183508184 " " y[1] (numeric) = 1.083104948566836 " " absolute error = 8.20802349413478600E-2 " " relative error = 7.044393981583045 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5840000000000004 " " y[1] (analytic) = 1.1657361316786738 " " y[1] (numeric) = 1.0833652467368093 " " absolute error = 8.23708849418645100E-2 " " relative error = 7.0659974160060965 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5850000000000004 " " y[1] (analytic) = 1.1662879141129627 " " y[1] (numeric) = 1.083626096272131 " " absolute error = 8.26618178408318200E-2 " " relative error = 7.0875996261781955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5860000000000004 " " y[1] (analytic) = 1.1668405302592677 " " y[1] (numeric) = 1.083887498006789 " " absolute error = 8.29530322524787400E-2 " " relative error = 7.1092004521000725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5870000000000004 " " y[1] (analytic) = 1.1673939795649733 " " y[1] (numeric) = 1.084149452774219 " " absolute error = 8.32445267907542300E-2 " " relative error = 7.130799734103058 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5880000000000004 " " y[1] (analytic) = 1.1679482614766301 " " y[1] (numeric) = 1.084411961407304 " " absolute error = 8.35363000693261100E-2 " " relative error = 7.15239731284943 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5890000000000004 " " y[1] (analytic) = 1.1685033754399559 " " y[1] (numeric) = 1.0846750247383727 " " absolute error = 8.38283507015831200E-2 " " relative error = 7.17399302933299 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5900000000000004 " " y[1] (analytic) = 1.1690593208998368 " " y[1] (numeric) = 1.0849386435991992 " " absolute error = 8.41206773006375500E-2 " " relative error = 7.195586724879711 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5910000000000004 " " y[1] (analytic) = 1.1696160973003276 " " y[1] (numeric) = 1.0852028188210023 " " absolute error = 8.44132784793252300E-2 " " relative error = 7.217178241148135 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5920000000000004 " " y[1] (analytic) = 1.170173704084652 " " y[1] (numeric) = 1.0854675512344443 " " absolute error = 8.47061528502077700E-2 " " relative error = 7.238767420129961 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5930000000000004 " " y[1] (analytic) = 1.1707321406952031 " " y[1] (numeric) = 1.0857328416696301 " " absolute error = 8.49992990255730200E-2 " " relative error = 7.260354104150485 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5940000000000004 " " y[1] (analytic) = 1.1712914065735445 " " y[1] (numeric) = 1.085998690956107 " " absolute error = 8.52927156174374500E-2 " " relative error = 7.28193813586918 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5950000000000004 " " y[1] (analytic) = 1.1718515011604103 " " y[1] (numeric) = 1.0862650999228631 " " absolute error = 8.55864012375471300E-2 " " relative error = 7.303519358280153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5960000000000004 " " y[1] (analytic) = 1.1724124238957057 " " y[1] (numeric) = 1.0865320693983271 " " absolute error = 8.58803544973785200E-2 " " relative error = 7.3250976147126 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5970000000000004 " " y[1] (analytic) = 1.1729741742185085 " " y[1] (numeric) = 1.0867996002103668 " " absolute error = 8.61745740081416600E-2 " " relative error = 7.34667274883143 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5980000000000004 " " y[1] (analytic) = 1.173536751567068 " " y[1] (numeric) = 1.087067693186289 " " absolute error = 8.64690583807790100E-2 " " relative error = 7.368244604637528 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.5990000000000004 " " y[1] (analytic) = 1.174100155378807 " " y[1] (numeric) = 1.0873363491528383 " " absolute error = 8.6763806225968800E-2 " " relative error = 7.3898130264684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6000000000000004 " " y[1] (analytic) = 1.1746643850903218 " " y[1] (numeric) = 1.0876055689361963 " " absolute error = 8.70588161541254700E-2 " " relative error = 7.4113778589985415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6010000000000004 " " y[1] (analytic) = 1.1752294401373828 " " y[1] (numeric) = 1.0878753533619805 " " absolute error = 8.73540867754023500E-2 " " relative error = 7.432938947240019 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6020000000000004 " " y[1] (analytic) = 1.1757953199549351 " " y[1] (numeric) = 1.0881457032552442 " " absolute error = 8.76496166996909600E-2 " " relative error = 7.454496136542738 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6030000000000004 " " y[1] (analytic) = 1.1763620239770987 " " y[1] (numeric) = 1.088416619440475 " " absolute error = 8.7945404536623700E-2 " " relative error = 7.476049272595 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6040000000000004 " " y[1] (analytic) = 1.1769295516371696 " " y[1] (numeric) = 1.088688102741594 " " absolute error = 8.82414488955756100E-2 " " relative error = 7.49759820142397 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6050000000000004 " " y[1] (analytic) = 1.1774979023676202 " " y[1] (numeric) = 1.0889601539819558 " " absolute error = 8.85377483856644200E-2 " " relative error = 7.5191427693959945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6060000000000004 " " y[1] (analytic) = 1.1780670756001 " " y[1] (numeric) = 1.0892327739843464 " " absolute error = 8.88343016157535600E-2 " " relative error = 7.540682823217170 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6070000000000004 " " y[1] (analytic) = 1.1786370707654357 " " y[1] (numeric) = 1.0895059635709834 " " absolute error = 8.91311071944522700E-2 " " relative error = 7.562218209933645 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6080000000000004 " " y[1] (analytic) = 1.1792078872936322 " " y[1] (numeric) = 1.0897797235635147 " " absolute error = 8.94281637301175300E-2 " " relative error = 7.583748776932087 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6090000000000004 " " y[1] (analytic) = 1.179779524613873 " " y[1] (numeric) = 1.0900540547830178 " " absolute error = 8.97254698308551600E-2 " " relative error = 7.6052743719400615 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6100000000000004 " " y[1] (analytic) = 1.1803519821545208 " " y[1] (numeric) = 1.0903289580499989 " " absolute error = 9.0023024104521900E-2 " " relative error = 7.626794843026486 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6110000000000004 " " y[1] (analytic) = 1.180925259343118 " " y[1] (numeric) = 1.0906044341843923 " " absolute error = 9.03208251587257500E-2 " " relative error = 7.648310038601945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6120000000000004 " " y[1] (analytic) = 1.181499355606388 " " y[1] (numeric) = 1.0908804840055597 " " absolute error = 9.06188716008282700E-2 " " relative error = 7.669819807419143 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6130000000000004 " " y[1] (analytic) = 1.1820742703702338 " " y[1] (numeric) = 1.0911571083322884 " " absolute error = 9.09171620379454200E-2 " " relative error = 7.691323998573249 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6140000000000004 " " y[1] (analytic) = 1.182650003059741 " " y[1] (numeric) = 1.0914343079827917 " " absolute error = 9.12156950769493800E-2 " " relative error = 7.712822461502302 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6150000000000004 " " y[1] (analytic) = 1.1832265530991775 " " y[1] (numeric) = 1.0917120837747076 " " absolute error = 9.15144693244698300E-2 " " relative error = 7.734315045987574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6160000000000004 " " y[1] (analytic) = 1.1838039199119925 " " y[1] (numeric) = 1.0919904365250976 " " absolute error = 9.18134833868948800E-2 " " relative error = 7.755801602153892 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6170000000000004 " " y[1] (analytic) = 1.1843821029208197 " " y[1] (numeric) = 1.0922693670504466 " " absolute error = 9.21127358703730500E-2 " " relative error = 7.777281980470042 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6180000000000004 " " y[1] (analytic) = 1.1849611015474757 " " y[1] (numeric) = 1.0925488761666615 " " absolute error = 9.24122253808141700E-2 " " relative error = 7.798756031749087 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6190000000000004 " " y[1] (analytic) = 1.1855409152129628 " " y[1] (numeric) = 1.0928289646890708 " " absolute error = 9.27119505238920300E-2 " " relative error = 7.820223607148797 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6200000000000004 " " y[1] (analytic) = 1.1861215433374663 " " y[1] (numeric) = 1.0931096334324235 " " absolute error = 9.30119099050428200E-2 " " relative error = 7.8416845581717745 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6210000000000004 " " y[1] (analytic) = 1.186702985340359 " " y[1] (numeric) = 1.0933908832108883 " " absolute error = 9.33121021294707200E-2 " " relative error = 7.863138736666094 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6220000000000004 " " y[1] (analytic) = 1.1872852406401981 " " y[1] (numeric) = 1.093672714838053 " " absolute error = 9.36125258021451900E-2 " " relative error = 7.884585994825322 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6230000000000004 " " y[1] (analytic) = 1.1878683086547293 " " y[1] (numeric) = 1.0939551291269234 " " absolute error = 9.39131795278058700E-2 " " relative error = 7.906026185189108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6240000000000004 " " y[1] (analytic) = 1.188452188800884 " " y[1] (numeric) = 1.0942381268899228 " " absolute error = 9.42140619109612700E-2 " " relative error = 7.927459160643280 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6250000000000004 " " y[1] (analytic) = 1.1890368804947824 " " y[1] (numeric) = 1.094521708938891 " " absolute error = 9.4515171555891400E-2 " " relative error = 7.948884774420262 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6260000000000004 " " y[1] (analytic) = 1.1896223831517325 " " y[1] (numeric) = 1.0948058760850832 " " absolute error = 9.48165070666493500E-2 " " relative error = 7.970302880099374 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6270000000000004 " " y[1] (analytic) = 1.1902086961862322 " " y[1] (numeric) = 1.09509062913917 " " absolute error = 9.51180670470621600E-2 " " relative error = 7.991713331607100 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6280000000000004 " " y[1] (analytic) = 1.190795819011968 " " y[1] (numeric) = 1.095375968911236 " " absolute error = 9.54198501007321700E-2 " " relative error = 8.013115983217368 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6290000000000004 " " y[1] (analytic) = 1.1913837510418173 " " y[1] (numeric) = 1.0956618962107785 " " absolute error = 9.57218548310387900E-2 " " relative error = 8.034510689551865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6300000000000004 " " y[1] (analytic) = 1.1919724916878485 " " y[1] (numeric) = 1.095948411846708 " " absolute error = 9.60240798411404800E-2 " " relative error = 8.05589730558036 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6310000000000004 " " y[1] (analytic) = 1.1925620403613204 " " y[1] (numeric) = 1.0962355166273463 " " absolute error = 9.6326523733974100E-2 " " relative error = 8.07727568662082 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6320000000000005 " " y[1] (analytic) = 1.1931523964726847 " " y[1] (numeric) = 1.0965232113604262 " " absolute error = 9.66291851122584900E-2 " " relative error = 8.098645688339834 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6330000000000005 " " y[1] (analytic) = 1.1937435594315853 " " y[1] (numeric) = 1.0968114968530904 " " absolute error = 9.69320625784948500E-2 " " relative error = 8.120007166752814 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6340000000000005 " " y[1] (analytic) = 1.1943355286468593 " " y[1] (numeric) = 1.0971003739118912 " " absolute error = 9.72351547349681300E-2 " " relative error = 8.141359978224227 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6350000000000005 " " y[1] (analytic) = 1.1949283035265374 " " y[1] (numeric) = 1.0973898433427887 " " absolute error = 9.75384601837487900E-2 " " relative error = 8.162703979467889 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6360000000000005 " " y[1] (analytic) = 1.195521883477845 " " y[1] (numeric) = 1.097679905951151 " " absolute error = 9.78419775266938800E-2 " " relative error = 8.184039027547175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6370000000000005 " " y[1] (analytic) = 1.1961162679072022 " " y[1] (numeric) = 1.0979705625417533 " " absolute error = 9.81457053654488700E-2 " " relative error = 8.20536497987529 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6380000000000005 " " y[1] (analytic) = 1.1967114562202243 " " y[1] (numeric) = 1.0982618139187763 " " absolute error = 9.84496423014480400E-2 " " relative error = 8.226681694215426 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6390000000000005 " " y[1] (analytic) = 1.1973074478217234 " " y[1] (numeric) = 1.0985536608858062 " " absolute error = 9.87537869359171900E-2 " " relative error = 8.24798902868108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6400000000000005 " " y[1] (analytic) = 1.1979042421157078 " " y[1] (numeric) = 1.0988461042458335 " " absolute error = 9.90581378698742700E-2 " " relative error = 8.269286841736225 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6410000000000005 " " y[1] (analytic) = 1.1985018385053832 " " y[1] (numeric) = 1.0991391448012524 " " absolute error = 9.93626937041307600E-2 " " relative error = 8.290574992195513 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6420000000000005 " " y[1] (analytic) = 1.199100236393153 " " y[1] (numeric) = 1.09943278335386 " " absolute error = 9.96674530392931400E-2 " " relative error = 8.311853339224498 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6430000000000005 " " y[1] (analytic) = 1.1996994351806198 " " y[1] (numeric) = 1.099727020704855 " " absolute error = 9.99724144757647700E-2 " " relative error = 8.333121742339864 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6440000000000005 " " y[1] (analytic) = 1.2002994342685849 " " y[1] (numeric) = 1.1000218576548377 " " absolute error = 0.10027757661374714 " " relative error = 8.354380061409621 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6450000000000005 " " y[1] (analytic) = 1.200900233057049 " " y[1] (numeric) = 1.1003172950038087 " " absolute error = 0.10058293805324037 " " relative error = 8.375628156653223 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6460000000000005 " " y[1] (analytic) = 1.2015018309452137 " " y[1] (numeric) = 1.100613333551168 " " absolute error = 0.1008884973940456 " " relative error = 8.396865888641825 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6470000000000005 " " y[1] (analytic) = 1.2021042273314806 " " y[1] (numeric) = 1.100909974095715 " " absolute error = 0.1011942532357657 " " relative error = 8.418093118298415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6480000000000005 " " y[1] (analytic) = 1.2027074216134537 " " y[1] (numeric) = 1.101207217435646 " " absolute error = 0.1015002041778077 " " relative error = 8.43930970689807 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6490000000000005 " " y[1] (analytic) = 1.2033114131879388 " " y[1] (numeric) = 1.1015050643685556 " " absolute error = 0.10180634881938322 " " relative error = 8.460515516068046 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6500000000000005 " " y[1] (analytic) = 1.2039162014509444 " " y[1] (numeric) = 1.1018035156914343 " " absolute error = 0.10211268575951005 " " relative error = 8.481710407787947 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6510000000000005 " " y[1] (analytic) = 1.2045217857976822 " " y[1] (numeric) = 1.1021025722006683 " " absolute error = 0.10241921359701389 " " relative error = 8.502894244389928 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6520000000000005 " " y[1] (analytic) = 1.2051281656225679 " " y[1] (numeric) = 1.1024022346920388 " " absolute error = 0.10272593093052906 " " relative error = 8.524066888558774 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6530000000000005 " " y[1] (analytic) = 1.2057353403192217 " " y[1] (numeric) = 1.1027025039607206 " " absolute error = 0.10303283635850113 " " relative error = 8.545228203332162 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6540000000000005 " " y[1] (analytic) = 1.206343309280469 " " y[1] (numeric) = 1.1030033808012818 " " absolute error = 0.10333992847918716 " " relative error = 8.566378052100685 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6550000000000005 " " y[1] (analytic) = 1.2069520718983409 " " y[1] (numeric) = 1.1033048660076834 " " absolute error = 0.10364720589065746 " " relative error = 8.58751629860804 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6560000000000005 " " y[1] (analytic) = 1.2075616275640746 " " y[1] (numeric) = 1.1036069603732774 " " absolute error = 0.10395466719079716 " " relative error = 8.608642806951167 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6570000000000005 " " y[1] (analytic) = 1.2081719756681149 " " y[1] (numeric) = 1.1039096646908073 " " absolute error = 0.10426231097730754 " " relative error = 8.629757441580356 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6580000000000005 " " y[1] (analytic) = 1.2087831156001136 " " y[1] (numeric) = 1.104212979752406 " " absolute error = 0.10457013584770758 " " relative error = 8.650860067299384 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6590000000000005 " " y[1] (analytic) = 1.2093950467489307 " " y[1] (numeric) = 1.104516906349596 " " absolute error = 0.10487814039933463 " " relative error = 8.671950549265581 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6600000000000005 " " y[1] (analytic) = 1.2100077685026354 " " y[1] (numeric) = 1.1048214452732885 " " absolute error = 0.10518632322934685 " " relative error = 8.693028752990006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6610000000000005 " " y[1] (analytic) = 1.2106212802485055 " " y[1] (numeric) = 1.1051265973137818 " " absolute error = 0.10549468293472364 " " relative error = 8.714094544337486 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6620000000000005 " " y[1] (analytic) = 1.2112355813730296 " " y[1] (numeric) = 1.1054323632607614 " " absolute error = 0.10580321811226812 " " relative error = 8.735147789526787 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6630000000000005 " " y[1] (analytic) = 1.2118506712619064 " " y[1] (numeric) = 1.105738743903299 " " absolute error = 0.1061119273586073 " " relative error = 8.756188355130622 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6640000000000005 " " y[1] (analytic) = 1.2124665493000464 " " y[1] (numeric) = 1.1060457400298513 " " absolute error = 0.10642080927019504 " " relative error = 8.777216108075846 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6650000000000005 " " y[1] (analytic) = 1.2130832148715716 " " y[1] (numeric) = 1.1063533524282598 " " absolute error = 0.10672986244331173 " " relative error = 8.798230915643423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6660000000000005 " " y[1] (analytic) = 1.2137006673598163 " " y[1] (numeric) = 1.1066615818857497 " " absolute error = 0.1070390854740666 " " relative error = 8.819232645468553 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6670000000000005 " " y[1] (analytic) = 1.214318906147328 " " y[1] (numeric) = 1.1069704291889289 " " absolute error = 0.10734847695839922 " " relative error = 8.840221165540768 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6680000000000005 " " y[1] (analytic) = 1.2149379306158683 " " y[1] (numeric) = 1.1072798951237877 " " absolute error = 0.10765803549208064 " " relative error = 8.861196344203966 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6690000000000005 " " y[1] (analytic) = 1.2155577401464124 " " y[1] (numeric) = 1.1075899804756977 " " absolute error = 0.1079677596707147 " " relative error = 8.882158050156475 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6700000000000005 " " y[1] (analytic) = 1.216178334119151 " " y[1] (numeric) = 1.107900686029411 " " absolute error = 0.10827764808974005 " " relative error = 8.903106152451151 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6710000000000005 " " y[1] (analytic) = 1.2167997119134903 " " y[1] (numeric) = 1.1082120125690595 " " absolute error = 0.1085876993444308 " " relative error = 8.92404052049537 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6720000000000005 " " y[1] (analytic) = 1.2174218729080521 " " y[1] (numeric) = 1.1085239608781543 " " absolute error = 0.10889791202989785 " " relative error = 8.944961024051073 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6730000000000005 " " y[1] (analytic) = 1.218044816480676 " " y[1] (numeric) = 1.1088365317395845 " " absolute error = 0.10920828474109157 " " relative error = 8.965867533234901 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6740000000000005 " " y[1] (analytic) = 1.2186685420084182 " " y[1] (numeric) = 1.109149725935617 " " absolute error = 0.10951881607280134 " " relative error = 8.986759918518091 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6750000000000005 " " y[1] (analytic) = 1.2192930488675535 " " y[1] (numeric) = 1.1094635442478948 " " absolute error = 0.10982950461965868 " " relative error = 9.007638050726637 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6760000000000005 " " y[1] (analytic) = 1.2199183364335746 " " y[1] (numeric) = 1.1097779874574374 " " absolute error = 0.11014034897613723 " " relative error = 9.028501801041207 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6770000000000005 " " y[1] (analytic) = 1.2205444040811944 " " y[1] (numeric) = 1.110093056344639 " " absolute error = 0.1104513477365554 " " relative error = 9.049351040997264 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6780000000000005 " " y[1] (analytic) = 1.221171251184345 " " y[1] (numeric) = 1.110408751689268 " " absolute error = 0.1107624994950771 " " relative error = 9.070185642485017 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6790000000000005 " " y[1] (analytic) = 1.2217988771161798 " " y[1] (numeric) = 1.1107250742704669 " " absolute error = 0.111073802845713 " " relative error = 9.091005477749436 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6800000000000005 " " y[1] (analytic) = 1.2224272812490724 " " y[1] (numeric) = 1.1110420248667505 " " absolute error = 0.11138525638232188 " " relative error = 9.111810419390245 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6810000000000005 " " y[1] (analytic) = 1.223056462954619 " " y[1] (numeric) = 1.1113596042560057 " " absolute error = 0.11169685869861334 " " relative error = 9.13260034036203 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6820000000000005 " " y[1] (analytic) = 1.223686421603638 " " y[1] (numeric) = 1.1116778132154905 " " absolute error = 0.11200860838814752 " " relative error = 9.153375113974095 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6830000000000005 " " y[1] (analytic) = 1.2243171565661706 " " y[1] (numeric) = 1.1119966525218337 " " absolute error = 0.11232050404433691 " " relative error = 9.174134613890493 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6840000000000005 " " y[1] (analytic) = 1.224948667211482 " " y[1] (numeric) = 1.1123161229510334 " " absolute error = 0.11263254426044855 " " relative error = 9.194878714130072 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6850000000000005 " " y[1] (analytic) = 1.2255809529080617 " " y[1] (numeric) = 1.1126362252784567 " " absolute error = 0.11294472762960495 " " relative error = 9.215607289066414 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6860000000000005 " " y[1] (analytic) = 1.2262140130236237 " " y[1] (numeric) = 1.112956960278839 " " absolute error = 0.1132570527447847 " " relative error = 9.236320213427765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6870000000000005 " " y[1] (analytic) = 1.2268478469251085 " " y[1] (numeric) = 1.1132783287262824 " " absolute error = 0.1135695181988261 " " relative error = 9.257017362297153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6880000000000005 " " y[1] (analytic) = 1.2274824539786817 " " y[1] (numeric) = 1.1136003313942562 " " absolute error = 0.11388212258442554 " " relative error = 9.277698611112154 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6890000000000005 " " y[1] (analytic) = 1.2281178335497365 " " y[1] (numeric) = 1.1139229690555952 " " absolute error = 0.11419486449414129 " " relative error = 9.29836383566501 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6900000000000005 " " y[1] (analytic) = 1.2287539850028937 " " y[1] (numeric) = 1.1142462424824993 " " absolute error = 0.11450774252039442 " " relative error = 9.319012912102561 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6910000000000005 " " y[1] (analytic) = 1.2293909077020015 " " y[1] (numeric) = 1.1145701524465326 " " absolute error = 0.11482075525546898 " " relative error = 9.339645716926107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6920000000000005 " " y[1] (analytic) = 1.2300286010101376 " " y[1] (numeric) = 1.1148946997186227 " " absolute error = 0.1151339012915149 " " relative error = 9.360262126991469 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6930000000000005 " " y[1] (analytic) = 1.2306670642896083 " " y[1] (numeric) = 1.1152198850690598 " " absolute error = 0.11544717922054848 " " relative error = 9.380862019508855 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6940000000000005 " " y[1] (analytic) = 1.2313062969019506 " " y[1] (numeric) = 1.1155457092674959 " " absolute error = 0.11576058763445474 " " relative error = 9.401445272042883 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6950000000000005 " " y[1] (analytic) = 1.231946298207932 " " y[1] (numeric) = 1.1158721730829444 " " absolute error = 0.11607412512498749 " " relative error = 9.422011762512405 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6960000000000005 " " y[1] (analytic) = 1.232587067567551 " " y[1] (numeric) = 1.1161992772837792 " " absolute error = 0.11638779028377177 " " relative error = 9.442561369190516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6970000000000005 " " y[1] (analytic) = 1.2332286043400384 " " y[1] (numeric) = 1.1165270226377335 " " absolute error = 0.11670158170230494 " " relative error = 9.46309397070446 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6980000000000005 " " y[1] (analytic) = 1.233870907883858 " " y[1] (numeric) = 1.1168554099118995 " " absolute error = 0.11701549797195843 " " relative error = 9.483609446035574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.6990000000000005 " " y[1] (analytic) = 1.2345139775567056 " " y[1] (numeric) = 1.1171844398727273 " " absolute error = 0.11732953768397825 " " relative error = 9.504107674519133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7000000000000005 " " y[1] (analytic) = 1.2351578127155118 " " y[1] (numeric) = 1.1175141132860247 " " absolute error = 0.11764369942948716 " " relative error = 9.524588535844325 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7010000000000005 " " y[1] (analytic) = 1.2358024127164418 " " y[1] (numeric) = 1.1178444309169555 " " absolute error = 0.11795798179948624 " " relative error = 9.54505191005417 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7020000000000005 " " y[1] (analytic) = 1.2364477769148952 " " y[1] (numeric) = 1.1181753935300398 " " absolute error = 0.11827238338485535 " " relative error = 9.565497677545347 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7030000000000005 " " y[1] (analytic) = 1.237093904665508 " " y[1] (numeric) = 1.1185070018891525 " " absolute error = 0.11858690277635553 " " relative error = 9.585925719068165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7040000000000005 " " y[1] (analytic) = 1.2377407953221526 " " y[1] (numeric) = 1.1188392567575227 " " absolute error = 0.11890153856462993 " " relative error = 9.606335915726431 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7050000000000005 " " y[1] (analytic) = 1.2383884482379386 " " y[1] (numeric) = 1.119172158897733 " " absolute error = 0.11921628934020556 " " relative error = 9.62672814897736 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7060000000000005 " " y[1] (analytic) = 1.2390368627652126 " " y[1] (numeric) = 1.1195057090717189 " " absolute error = 0.11953115369349376 " " relative error = 9.647102300631385 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7070000000000005 " " y[1] (analytic) = 1.2396860382555608 " " y[1] (numeric) = 1.1198399080407675 " " absolute error = 0.11984613021479329 " " relative error = 9.667458252852168 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7080000000000005 " " y[1] (analytic) = 1.240335974059807 " " y[1] (numeric) = 1.1201747565655176 " " absolute error = 0.12016121749428943 " " relative error = 9.687795888156305 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7090000000000005 " " y[1] (analytic) = 1.240986669528016 " " y[1] (numeric) = 1.120510255405958 " " absolute error = 0.120476414122058 " " relative error = 9.70811508941339 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7100000000000005 " " y[1] (analytic) = 1.241638124009492 " " y[1] (numeric) = 1.1208464053214278 " " absolute error = 0.12079171868806426 " " relative error = 9.728415739845698 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7110000000000005 " " y[1] (analytic) = 1.2422903368527811 " " y[1] (numeric) = 1.121183207070614 " " absolute error = 0.12110712978216709 " " relative error = 9.748697723028252 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7120000000000005 " " y[1] (analytic) = 1.2429433074056702 " " y[1] (numeric) = 1.121520661411553 " " absolute error = 0.12142264599411723 " " relative error = 9.768960922888454 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7130000000000005 " " y[1] (analytic) = 1.2435970350151886 " " y[1] (numeric) = 1.1218587691016273 " " absolute error = 0.1217382659135613 " " relative error = 9.789205223706123 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7140000000000005 " " y[1] (analytic) = 1.244251519027609 " " y[1] (numeric) = 1.1221975308975671 " " absolute error = 0.12205398813004198 " " relative error = 9.809430510113259 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7150000000000005 " " y[1] (analytic) = 1.2449067587884475 " " y[1] (numeric) = 1.1225369475554483 " " absolute error = 0.12236981123299917 " " relative error = 9.82963666709388 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7160000000000005 " " y[1] (analytic) = 1.2455627536424643 " " y[1] (numeric) = 1.1228770198306914 " " absolute error = 0.12268573381177283 " " relative error = 9.84982357998395 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7170000000000005 " " y[1] (analytic) = 1.2462195029336645 " " y[1] (numeric) = 1.1232177484780619 " " absolute error = 0.12300175445560257 " " relative error = 9.869991134471107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7180000000000005 " " y[1] (analytic) = 1.246877006005299 " " y[1] (numeric) = 1.1235591342516686 " " absolute error = 0.12331787175363029 " " relative error = 9.89013921659457 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7190000000000005 " " y[1] (analytic) = 1.2475352621998645 " " y[1] (numeric) = 1.1239011779049632 " " absolute error = 0.1236340842949013 " " relative error = 9.910267712744956 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7200000000000005 " " y[1] (analytic) = 1.2481942708591054 " " y[1] (numeric) = 1.1242438801907397 " " absolute error = 0.12395039066836566 " " relative error = 9.930376509664098 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7210000000000005 " " y[1] (analytic) = 1.2488540313240126 " " y[1] (numeric) = 1.1245872418611331 " " absolute error = 0.1242667894628795 " " relative error = 9.950465494444861 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7220000000000005 " " y[1] (analytic) = 1.249514542934826 " " y[1] (numeric) = 1.1249312636676194 " " absolute error = 0.12458327926720658 " " relative error = 9.970534554530973 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7230000000000005 " " y[1] (analytic) = 1.2501758050310339 " " y[1] (numeric) = 1.1252759463610142 " " absolute error = 0.12489985867001963 " " relative error = 9.990583577716828 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7240000000000005 " " y[1] (analytic) = 1.2508378169513743 " " y[1] (numeric) = 1.1256212906914724 " " absolute error = 0.12521652625990187 " " relative error = 10.010612452147312 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7250000000000005 " " y[1] (analytic) = 1.2515005780338353 " " y[1] (numeric) = 1.1259672974084873 " " absolute error = 0.12553328062534796 " " relative error = 10.030621066317565 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7260000000000005 " " y[1] (analytic) = 1.2521640876156557 " " y[1] (numeric) = 1.1263139672608897 " " absolute error = 0.12585012035476595 " " relative error = 10.05060930907283 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7270000000000005 " " y[1] (analytic) = 1.2528283450333264 " " y[1] (numeric) = 1.1266613009968471 " " absolute error = 0.12616704403647927 " " relative error = 10.070577069608296 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7280000000000005 " " y[1] (analytic) = 1.2534933496225897 " " y[1] (numeric) = 1.1270092993638634 " " absolute error = 0.12648405025872633 " " relative error = 10.090524237468752 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7290000000000005 " " y[1] (analytic) = 1.2541591007184412 " " y[1] (numeric) = 1.1273579631087776 " " absolute error = 0.1268011376096636 " " relative error = 10.110450702548501 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7300000000000005 " " y[1] (analytic) = 1.2548255976551301 " " y[1] (numeric) = 1.1277072929777636 " " absolute error = 0.1271183046773665 " " relative error = 10.130356355091113 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7310000000000005 " " y[1] (analytic) = 1.2554928397661589 " " y[1] (numeric) = 1.128057289716329 " " absolute error = 0.12743555004982987 " " relative error = 10.150241085689132 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7320000000000005 " " y[1] (analytic) = 1.2561608263842858 " " y[1] (numeric) = 1.1284079540693146 " " absolute error = 0.12775287231497123 " " relative error = 10.170104785283996 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7330000000000005 " " y[1] (analytic) = 1.2568295568415246 " " y[1] (numeric) = 1.1287592867808935 " " absolute error = 0.1280702700606311 " " relative error = 10.189947345165727 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7340000000000005 " " y[1] (analytic) = 1.2574990304691447 " " y[1] (numeric) = 1.1291112885945707 " " absolute error = 0.12838774187457402 " " relative error = 10.209768656972678 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7350000000000005 " " y[1] (analytic) = 1.2581692465976722 " " y[1] (numeric) = 1.1294639602531817 " " absolute error = 0.1287052863444904 " " relative error = 10.229568612691327 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7360000000000005 " " y[1] (analytic) = 1.2588402045568914 " " y[1] (numeric) = 1.1298173024988927 " " absolute error = 0.1290229020579987 " " relative error = 10.249347104656104 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7370000000000005 " " y[1] (analytic) = 1.2595119036758442 " " y[1] (numeric) = 1.1301713160731985 " " absolute error = 0.12934058760264566 " " relative error = 10.269104025549055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7380000000000005 " " y[1] (analytic) = 1.2601843432828317 " " y[1] (numeric) = 1.1305260017169234 " " absolute error = 0.12965834156590827 " " relative error = 10.288839268399654 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7390000000000005 " " y[1] (analytic) = 1.2608575227054142 " " y[1] (numeric) = 1.1308813601702192 " " absolute error = 0.12997616253519495 " " relative error = 10.308552726584516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7400000000000005 " " y[1] (analytic) = 1.2615314412704124 " " y[1] (numeric) = 1.131237392172565 " " absolute error = 0.13029404909784748 " " relative error = 10.328244293827206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7410000000000005 " " y[1] (analytic) = 1.2622060983039078 " " y[1] (numeric) = 1.131594098462766 " " absolute error = 0.1306119998411419 " " relative error = 10.347913864197936 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7420000000000005 " " y[1] (analytic) = 1.2628814931312435 " " y[1] (numeric) = 1.1319514797789536 " " absolute error = 0.13093001335228993 " " relative error = 10.367561332113304 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7430000000000005 " " y[1] (analytic) = 1.2635576250770246 " " y[1] (numeric) = 1.1323095368585843 " " absolute error = 0.13124808821844036 " " relative error = 10.387186592336038 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7440000000000005 " " y[1] (analytic) = 1.2642344934651193 " " y[1] (numeric) = 1.132668270438438 " " absolute error = 0.1315662230266812 " " relative error = 10.406789539974781 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7450000000000006 " " y[1] (analytic) = 1.2649120976186592 " " y[1] (numeric) = 1.1330276812546192 " " absolute error = 0.13188441636404002 " " relative error = 10.426370070483745 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7460000000000006 " " y[1] (analytic) = 1.2655904368600401 " " y[1] (numeric) = 1.1333877700425543 " " absolute error = 0.13220266681748583 " " relative error = 10.445928079662469 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7470000000000006 " " y[1] (analytic) = 1.266269510510923 " " y[1] (numeric) = 1.1337485375369922 " " absolute error = 0.13252097297393073 " " relative error = 10.465463463655558 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7480000000000006 " " y[1] (analytic) = 1.2669493178922342 " " y[1] (numeric) = 1.1341099844720028 " " absolute error = 0.13283933342023135 " " relative error = 10.484976118952423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7490000000000006 " " y[1] (analytic) = 1.2676298583241665 " " y[1] (numeric) = 1.1344721115809766 " " absolute error = 0.13315774674318992 " " relative error = 10.504465942386943 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7500000000000006 " " y[1] (analytic) = 1.2683111311261794 " " y[1] (numeric) = 1.134834919596624 " " absolute error = 0.13347621152955536 " " relative error = 10.523932831137182 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7510000000000006 " " y[1] (analytic) = 1.2689931356170003 " " y[1] (numeric) = 1.1351984092509748 " " absolute error = 0.13379472636602552 " " relative error = 10.543376682725148 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7520000000000006 " " y[1] (analytic) = 1.2696758711146248 " " y[1] (numeric) = 1.1355625812753767 " " absolute error = 0.13411328983924808 " " relative error = 10.562797395016457 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7530000000000006 " " y[1] (analytic) = 1.270359336936317 " " y[1] (numeric) = 1.1359274364004952 " " absolute error = 0.13443190053582188 " " relative error = 10.582194866220041 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7540000000000006 " " y[1] (analytic) = 1.2710435323986116 " " y[1] (numeric) = 1.1362929753563127 " " absolute error = 0.13475055704229888 " " relative error = 10.601568994887879 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7550000000000006 " " y[1] (analytic) = 1.2717284568173128 " " y[1] (numeric) = 1.1366591988721277 " " absolute error = 0.1350692579451851 " " relative error = 10.62091967991467 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7560000000000006 " " y[1] (analytic) = 1.2724141095074968 " " y[1] (numeric) = 1.1370261076765542 " " absolute error = 0.13538800183094257 " " relative error = 10.640246820537548 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7570000000000006 " " y[1] (analytic) = 1.2731004897835105 " " y[1] (numeric) = 1.137393702497521 " " absolute error = 0.13570678728598962 " " relative error = 10.659550316335705 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7580000000000006 " " y[1] (analytic) = 1.2737875969589743 " " y[1] (numeric) = 1.1377619840622706 " " absolute error = 0.13602561289670367 " " relative error = 10.678830067230177 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7590000000000006 " " y[1] (analytic) = 1.27447543034678 " " y[1] (numeric) = 1.1381309530973593 " " absolute error = 0.13634447724942067 " " relative error = 10.69808597348337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7600000000000006 " " y[1] (analytic) = 1.2751639892590951 " " y[1] (numeric) = 1.1385006103286555 " " absolute error = 0.13666337893043967 " " relative error = 10.717317935698984 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7610000000000006 " " y[1] (analytic) = 1.2758532730073608 " " y[1] (numeric) = 1.1388709564813393 " " absolute error = 0.13698231652602155 " " relative error = 10.736525854821494 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7620000000000006 " " y[1] (analytic) = 1.2765432809022927 " " y[1] (numeric) = 1.1392419922799022 " " absolute error = 0.13730128862239055 " " relative error = 10.755709632135822 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7630000000000006 " " y[1] (analytic) = 1.2772340122538837 " " y[1] (numeric) = 1.1396137184481459 " " absolute error = 0.13762029380573781 " " relative error = 10.774869169267173 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7640000000000006 " " y[1] (analytic) = 1.2779254663714021 " " y[1] (numeric) = 1.1399861357091816 " " absolute error = 0.13793933066222053 " " relative error = 10.794004368180527 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7650000000000006 " " y[1] (analytic) = 1.2786176425633942 " " y[1] (numeric) = 1.1403592447854298 " " absolute error = 0.13825839777796434 " " relative error = 10.813115131180387 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7660000000000006 " " y[1] (analytic) = 1.2793105401376834 " " y[1] (numeric) = 1.140733046398619 " " absolute error = 0.13857749373906447 " " relative error = 10.83220136091041 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7670000000000006 " " y[1] (analytic) = 1.2800041584013724 " " y[1] (numeric) = 1.1411075412697849 " " absolute error = 0.13889661713158752 " " relative error = 10.851262960353099 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7680000000000006 " " y[1] (analytic) = 1.2806984966608432 " " y[1] (numeric) = 1.14148273011927 " " absolute error = 0.1392157665415732 " " relative error = 10.870299832829472 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7690000000000006 " " y[1] (analytic) = 1.2813935542217572 " " y[1] (numeric) = 1.1418586136667233 " " absolute error = 0.1395349405550339 " " relative error = 10.889311881998594 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7700000000000006 " " y[1] (analytic) = 1.282089330389057 " " y[1] (numeric) = 1.1422351926310987 " " absolute error = 0.1398541377579583 " " relative error = 10.908299011857371 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7710000000000006 " " y[1] (analytic) = 1.2827858244669668 " " y[1] (numeric) = 1.1426124677306548 " " absolute error = 0.14017335673631193 " " relative error = 10.927261126740145 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7720000000000006 " " y[1] (analytic) = 1.2834830357589921 " " y[1] (numeric) = 1.1429904396829538 " " absolute error = 0.14049259607603837 " " relative error = 10.946198131318313 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7730000000000006 " " y[1] (analytic) = 1.2841809635679222 " " y[1] (numeric) = 1.1433691092048615 " " absolute error = 0.14081185436306076 " " relative error = 10.965109930599981 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7740000000000006 " " y[1] (analytic) = 1.284879607195829 " " y[1] (numeric) = 1.1437484770125457 " " absolute error = 0.14113113018328338 " " relative error = 10.983996429929604 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7750000000000006 " " y[1] (analytic) = 1.285578965944069 " " y[1] (numeric) = 1.1441285438214763 " " absolute error = 0.14145042212259273 " " relative error = 11.002857534987605 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7760000000000006 " " y[1] (analytic) = 1.2862790391132837 " " y[1] (numeric) = 1.144509310346424 " " absolute error = 0.14176972876685978 " " relative error = 11.02169315179006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7770000000000006 " " y[1] (analytic) = 1.2869798260033996 " " y[1] (numeric) = 1.1448907773014596 " " absolute error = 0.14208904870193995 " " relative error = 11.040503186688229 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7780000000000006 " " y[1] (analytic) = 1.28768132591363 " " y[1] (numeric) = 1.145272945399954 " " absolute error = 0.142408380513676 " " relative error = 11.059287546368278 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7790000000000006 " " y[1] (analytic) = 1.2883835381424753 " " y[1] (numeric) = 1.1456558153545762 " " absolute error = 0.14272772278789914 " " relative error = 11.07804613785089 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7800000000000006 " " y[1] (analytic) = 1.289086461987723 " " y[1] (numeric) = 1.146039387877294 " " absolute error = 0.14304707411042883 " " relative error = 11.096778868490762 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7810000000000006 " " y[1] (analytic) = 1.2897900967464495 " " y[1] (numeric) = 1.1464236636793725 " " absolute error = 0.14336643306707697 " " relative error = 11.11548564597642 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7820000000000006 " " y[1] (analytic) = 1.2904944417150204 " " y[1] (numeric) = 1.1468086434713733 " " absolute error = 0.14368579824364702 " " relative error = 11.134166378329674 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7830000000000006 " " y[1] (analytic) = 1.29119949618909 " " y[1] (numeric) = 1.1471943279631542 " " absolute error = 0.1440051682259358 " " relative error = 11.152820973905254 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7840000000000006 " " y[1] (analytic) = 1.2919052594636047 " " y[1] (numeric) = 1.1475807178638682 " " absolute error = 0.1443245415997365 " " relative error = 11.171449341390533 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7850000000000006 " " y[1] (analytic) = 1.2926117308328007 " " y[1] (numeric) = 1.1479678138819627 " " absolute error = 0.144643916950838 " " relative error = 11.19005138980498 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7860000000000006 " " y[1] (analytic) = 1.293318909590207 " " y[1] (numeric) = 1.1483556167251794 " " absolute error = 0.14496329286502752 " " relative error = 11.208627028499853 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7870000000000006 " " y[1] (analytic) = 1.2940267950286448 " " y[1] (numeric) = 1.148744127100553 " " absolute error = 0.14528266792809186 " " relative error = 11.227176167157795 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7880000000000006 " " y[1] (analytic) = 1.2947353864402287 " " y[1] (numeric) = 1.1491333457144106 " " absolute error = 0.14560204072581806 " " relative error = 11.245698715792361 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7890000000000006 " " y[1] (analytic) = 1.2954446831163673 " " y[1] (numeric) = 1.1495232732723712 " " absolute error = 0.14592140984399604 " " relative error = 11.264194584747715 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7900000000000006 " " y[1] (analytic) = 1.2961546843477643 " " y[1] (numeric) = 1.1499139104793448 " " absolute error = 0.1462407738684195 " " relative error = 11.282663684698178 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7910000000000006 " " y[1] (analytic) = 1.2968653894244182 " " y[1] (numeric) = 1.1503052580395317 " " absolute error = 0.14656013138488655 " " relative error = 11.301105926647766 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7920000000000006 " " y[1] (analytic) = 1.297576797635624 " " y[1] (numeric) = 1.1506973166564216 " " absolute error = 0.14687948097920245 " " relative error = 11.319521221929868 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7930000000000006 " " y[1] (analytic) = 1.2982889082699738 " " y[1] (numeric) = 1.1510900870327936 " " absolute error = 0.1471988212371802 " " relative error = 11.337909482206777 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7940000000000006 " " y[1] (analytic) = 1.2990017206153568 " " y[1] (numeric) = 1.1514835698707149 " " absolute error = 0.14751815074464192 " " relative error = 11.35627061946926 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7950000000000006 " " y[1] (analytic) = 1.2997152339589606 " " y[1] (numeric) = 1.15187776587154 " " absolute error = 0.1478374680874206 " " relative error = 11.374604546036172 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7960000000000006 " " y[1] (analytic) = 1.3004294475872724 " " y[1] (numeric) = 1.1522726757359107 " " absolute error = 0.14815677185136167 " " relative error = 11.392911174554035 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7970000000000006 " " y[1] (analytic) = 1.3011443607860782 " " y[1] (numeric) = 1.1526683001637545 " " absolute error = 0.14847606062232366 " " relative error = 11.411190417996568 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7980000000000006 " " y[1] (analytic) = 1.3018599728404647 " " y[1] (numeric) = 1.1530646398542845 " " absolute error = 0.1487953329861802 " " relative error = 11.429442189664295 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.7990000000000006 " " y[1] (analytic) = 1.3025762830348204 " " y[1] (numeric) = 1.1534616955059986 " " absolute error = 0.14911458752882178 " " relative error = 11.447666403184133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8000000000000006 " " y[1] (analytic) = 1.3032932906528352 " " y[1] (numeric) = 1.1538594678166785 " " absolute error = 0.1494338228361567 " " relative error = 11.465862972508935 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8010000000000006 " " y[1] (analytic) = 1.3040109949775007 " " y[1] (numeric) = 1.1542579574833896 " " absolute error = 0.14975303749411117 " " relative error = 11.484031811916969 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8020000000000006 " " y[1] (analytic) = 1.3047293952911136 " " y[1] (numeric) = 1.1546571652024795 " " absolute error = 0.15007223008863413 " " relative error = 11.502172836011695 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8030000000000006 " " y[1] (analytic) = 1.3054484908752733 " " y[1] (numeric) = 1.1550570916695784 " " absolute error = 0.1503913992056949 " " relative error = 11.520285959721084 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8040000000000006 " " y[1] (analytic) = 1.3061682810108841 " " y[1] (numeric) = 1.155457737579597 " " absolute error = 0.1507105434312872 " " relative error = 11.538371098297352 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8050000000000006 " " y[1] (analytic) = 1.3068887649781562 " " y[1] (numeric) = 1.155859103626727 " " absolute error = 0.15102966135142926 " " relative error = 11.556428167316415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8060000000000006 " " y[1] (analytic) = 1.3076099420566054 " " y[1] (numeric) = 1.15626119050444 " " absolute error = 0.15134875155216543 " " relative error = 11.574457082677462 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8070000000000006 " " y[1] (analytic) = 1.308331811525055 " " y[1] (numeric) = 1.1566639989054865 " " absolute error = 0.15166781261956852 " " relative error = 11.592457760602578 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8080000000000006 " " y[1] (analytic) = 1.3090543726616355 " " y[1] (numeric) = 1.1570675295218957 " " absolute error = 0.15198684313973976 " " relative error = 11.61043011763617 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8090000000000006 " " y[1] (analytic) = 1.3097776247437856 " " y[1] (numeric) = 1.1574717830449746 " " absolute error = 0.152305841698811 " " relative error = 11.628374070644595 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8100000000000006 " " y[1] (analytic) = 1.3105015670482534 " " y[1] (numeric) = 1.157876760165307 " " absolute error = 0.15262480688294633 " " relative error = 11.646289536815686 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8110000000000006 " " y[1] (analytic) = 1.311226198851097 " " y[1] (numeric) = 1.1582824615727536 " " absolute error = 0.15294373727834332 " " relative error = 11.664176433658312 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8120000000000006 " " y[1] (analytic) = 1.311951519427684 " " y[1] (numeric) = 1.1586888879564503 " " absolute error = 0.15326263147123376 " " relative error = 11.68203467900185 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8130000000000006 " " y[1] (analytic) = 1.3126775280526943 " " y[1] (numeric) = 1.1590960400048083 " " absolute error = 0.15358148804788607 " " relative error = 11.699864190995804 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8140000000000006 " " y[1] (analytic) = 1.3134042240001191 " " y[1] (numeric) = 1.159503918405513 " " absolute error = 0.1539003055946062 " " relative error = 11.717664888109287 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8150000000000006 " " y[1] (analytic) = 1.314131606543263 " " y[1] (numeric) = 1.1599125238455235 " " absolute error = 0.15421908269773965 " " relative error = 11.735436689130614 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8160000000000006 " " y[1] (analytic) = 1.3148596749547432 " " y[1] (numeric) = 1.160321857011072 " " absolute error = 0.15453781794367116 " " relative error = 11.753179513166703 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8170000000000006 " " y[1] (analytic) = 1.3155884285064912 " " y[1] (numeric) = 1.1607319185876628 " " absolute error = 0.15485650991882838 " " relative error = 11.770893279642761 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8180000000000006 " " y[1] (analytic) = 1.316317866469754 " " y[1] (numeric) = 1.161142709260072 " " absolute error = 0.155175157209682 " " relative error = 11.788577908301724 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8190000000000006 " " y[1] (analytic) = 1.317047988115093 " " y[1] (numeric) = 1.161554229712346 " " absolute error = 0.15549375840274693 " " relative error = 11.806233319203765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8200000000000006 " " y[1] (analytic) = 1.317778792712387 " " y[1] (numeric) = 1.1619664806278023 " " absolute error = 0.15581231208458468 " " relative error = 11.823859432725873 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8210000000000006 " " y[1] (analytic) = 1.3185102795308312 " " y[1] (numeric) = 1.1623794626890274 " " absolute error = 0.15613081684180385 " " relative error = 11.841456169561324 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8220000000000006 " " y[1] (analytic) = 1.3192424478389395 " " y[1] (numeric) = 1.1627931765778767 " " absolute error = 0.15644927126106278 " " relative error = 11.85902345071927 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8230000000000006 " " y[1] (analytic) = 1.319975296904543 " " y[1] (numeric) = 1.163207622975474 " " absolute error = 0.1567676739290691 " " relative error = 11.876561197524147 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8240000000000006 " " y[1] (analytic) = 1.3207088259947932 " " y[1] (numeric) = 1.1636228025622104 " " absolute error = 0.15708602343258282 " " relative error = 11.894069331615274 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8250000000000006 " " y[1] (analytic) = 1.3214430343761605 " " y[1] (numeric) = 1.1640387160177437 " " absolute error = 0.15740431835841684 " " relative error = 11.911547774946333 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8260000000000006 " " y[1] (analytic) = 1.3221779213144371 " " y[1] (numeric) = 1.164455364020998 " " absolute error = 0.1577225572934391 " " relative error = 11.928996449784908 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8270000000000006 " " y[1] (analytic) = 1.3229134860747358 " " y[1] (numeric) = 1.164872747250163 " " absolute error = 0.1580407388245728 " " relative error = 11.946415278711926 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8280000000000006 " " y[1] (analytic) = 1.323649727921492 " " y[1] (numeric) = 1.1652908663826929 " " absolute error = 0.1583588615387992 " " relative error = 11.963804184621244 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8290000000000006 " " y[1] (analytic) = 1.324386646118464 " " y[1] (numeric) = 1.1657097220953059 " " absolute error = 0.15867692402315803 " " relative error = 11.981163090719104 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8300000000000006 " " y[1] (analytic) = 1.3251242399287335 " " y[1] (numeric) = 1.166129315063984 " " absolute error = 0.15899492486474953 " " relative error = 11.998491920523652 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8310000000000006 " " y[1] (analytic) = 1.3258625086147067 " " y[1] (numeric) = 1.1665496459639717 " " absolute error = 0.15931286265073497 " " relative error = 12.015790597864399 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8320000000000006 " " y[1] (analytic) = 1.3266014514381153 " " y[1] (numeric) = 1.1669707154697757 " " absolute error = 0.15963073596833954 " " relative error = 12.033059046881812 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8330000000000006 " " y[1] (analytic) = 1.3273410676600161 " " y[1] (numeric) = 1.167392524255164 " " absolute error = 0.1599485434048522 " " relative error = 12.050297192026704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8340000000000006 " " y[1] (analytic) = 1.3280813565407934 " " y[1] (numeric) = 1.1678150729931651 " " absolute error = 0.16026628354762829 " " relative error = 12.067504958059814 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8350000000000006 " " y[1] (analytic) = 1.3288223173401583 " " y[1] (numeric) = 1.1682383623560681 " " absolute error = 0.16058395498409017 " " relative error = 12.084682270051243 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8360000000000006 " " y[1] (analytic) = 1.3295639493171496 " " y[1] (numeric) = 1.1686623930154212 " " absolute error = 0.16090155630172842 " " relative error = 12.10182905337993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8370000000000006 " " y[1] (analytic) = 1.330306251730136 " " y[1] (numeric) = 1.169087165642031 " " absolute error = 0.1612190860881051 " " relative error = 12.118945233733275 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8380000000000006 " " y[1] (analytic) = 1.3310492238368146 " " y[1] (numeric) = 1.1695126809059624 " " absolute error = 0.16153654293085218 " " relative error = 12.136030737106415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8390000000000006 " " y[1] (analytic) = 1.3317928648942137 " " y[1] (numeric) = 1.1699389394765378 " " absolute error = 0.16185392541767585 " " relative error = 12.15308548980191 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8400000000000006 " " y[1] (analytic) = 1.3325371741586922 " " y[1] (numeric) = 1.1703659420223362 " " absolute error = 0.16217123213635598 " " relative error = 12.170109418429101 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8410000000000006 " " y[1] (analytic) = 1.3332821508859412 " " y[1] (numeric) = 1.1707936892111925 " " absolute error = 0.16248846167474862 " " relative error = 12.187102449903652 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8420000000000006 " " y[1] (analytic) = 1.3340277943309835 " " y[1] (numeric) = 1.171222181710197 " " absolute error = 0.1628056126207864 " " relative error = 12.204064511446976 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8430000000000006 " " y[1] (analytic) = 1.334774103748176 " " y[1] (numeric) = 1.171651420185695 " " absolute error = 0.16312268356248105 " " relative error = 12.220995530585784 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8440000000000006 " " y[1] (analytic) = 1.3355210783912095 " " y[1] (numeric) = 1.172081405303285 " " absolute error = 0.1634396730879244 " " relative error = 12.237895435151536 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8450000000000006 " " y[1] (analytic) = 1.336268717513109 " " y[1] (numeric) = 1.17251213772782 " " absolute error = 0.1637565797852889 " " relative error = 12.254764153279854 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8460000000000006 " " y[1] (analytic) = 1.3370170203662357 " " y[1] (numeric) = 1.1729436181234048 " " absolute error = 0.16407340224283096 " " relative error = 12.271601613410125 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8470000000000006 " " y[1] (analytic) = 1.3377659862022868 " " y[1] (numeric) = 1.1733758471533964 " " absolute error = 0.16439013904889044 " " relative error = 12.288407744284852 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8480000000000006 " " y[1] (analytic) = 1.3385156142722965 " " y[1] (numeric) = 1.1738088254804036 " " absolute error = 0.16470678879189293 " " relative error = 12.305182474949175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8490000000000006 " " y[1] (analytic) = 1.3392659038266368 " " y[1] (numeric) = 1.1742425537662855 " " absolute error = 0.1650233500603513 " " relative error = 12.321925734750353 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8500000000000006 " " y[1] (analytic) = 1.3400168541150184 " " y[1] (numeric) = 1.1746770326721514 " " absolute error = 0.16533982144286696 " " relative error = 12.33863745333723 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8510000000000006 " " y[1] (analytic) = 1.3407684643864908 " " y[1] (numeric) = 1.1751122628583597 " " absolute error = 0.1656562015281311 " " relative error = 12.355317560659671 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8520000000000006 " " y[1] (analytic) = 1.3415207338894437 " " y[1] (numeric) = 1.1755482449845178 " " absolute error = 0.16597248890492589 " " relative error = 12.371965986968032 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8530000000000006 " " y[1] (analytic) = 1.3422736618716078 " " y[1] (numeric) = 1.1759849797094812 " " absolute error = 0.16628868216212656 " " relative error = 12.388582662812654 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8540000000000006 " " y[1] (analytic) = 1.3430272475800555 " " y[1] (numeric) = 1.1764224676913528 " " absolute error = 0.1666047798887027 " " relative error = 12.40516751904333 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8550000000000006 " " y[1] (analytic) = 1.3437814902612009 " " y[1] (numeric) = 1.176860709587482 " " absolute error = 0.16692078067371896 " " relative error = 12.421720486808708 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8560000000000006 " " y[1] (analytic) = 1.344536389160801 " " y[1] (numeric) = 1.1772997060544643 " " absolute error = 0.16723668310633677 " " relative error = 12.438241497555776 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8570000000000007 " " y[1] (analytic) = 1.3452919435239576 " " y[1] (numeric) = 1.177739457748141 " " absolute error = 0.1675524857758166 " " relative error = 12.454730483029369 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8580000000000007 " " y[1] (analytic) = 1.346048152595116 " " y[1] (numeric) = 1.178179965323598 " " absolute error = 0.16786818727151798 " " relative error = 12.471187375271544 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8590000000000007 " " y[1] (analytic) = 1.3468050156180673 " " y[1] (numeric) = 1.178621229435165 " " absolute error = 0.1681837861829023 " " relative error = 12.487612106621127 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8600000000000007 " " y[1] (analytic) = 1.3475625318359485 " " y[1] (numeric) = 1.1790632507364156 " " absolute error = 0.16849928109953294 " " relative error = 12.504004609713053 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8610000000000007 " " y[1] (analytic) = 1.3483207004912439 " " y[1] (numeric) = 1.1795060298801658 " " absolute error = 0.16881467061107802 " " relative error = 12.520364817477956 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8620000000000007 " " y[1] (analytic) = 1.349079520825784 " " y[1] (numeric) = 1.1799495675184741 " " absolute error = 0.16912995330730984 " " relative error = 12.536692663141448 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8630000000000007 " " y[1] (analytic) = 1.3498389920807492 " " y[1] (numeric) = 1.1803938643026406 " " absolute error = 0.1694451277781086 " " relative error = 12.55298808022373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8640000000000007 " " y[1] (analytic) = 1.3505991134966682 " " y[1] (numeric) = 1.1808389208832057 " " absolute error = 0.16976019261346242 " " relative error = 12.569251002538971 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8650000000000007 " " y[1] (analytic) = 1.3513598843134196 " " y[1] (numeric) = 1.1812847379099507 " " absolute error = 0.17007514640346888 " " relative error = 12.58548136419473 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8660000000000007 " " y[1] (analytic) = 1.3521213037702324 " " y[1] (numeric) = 1.1817313160318959 " " absolute error = 0.17038998773833658 " " relative error = 12.601679099591433 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8670000000000007 " " y[1] (analytic) = 1.3528833711056878 " " y[1] (numeric) = 1.1821786558973004 " " absolute error = 0.17070471520838737 " " relative error = 12.617844143421868 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8680000000000007 " " y[1] (analytic) = 1.353646085557718 " " y[1] (numeric) = 1.1826267581536625 " " absolute error = 0.17101932740405545 " " relative error = 12.633976430670465 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8690000000000007 " " y[1] (analytic) = 1.3544094463636087 " " y[1] (numeric) = 1.1830756234477169 " " absolute error = 0.17133382291589183 " " relative error = 12.650075896612954 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8700000000000007 " " y[1] (analytic) = 1.3551734527599995 " " y[1] (numeric) = 1.1835252524254363 " " absolute error = 0.17164820033456318 " " relative error = 12.666142476815622 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8710000000000007 " " y[1] (analytic) = 1.3559381039828833 " " y[1] (numeric) = 1.183975645732029 " " absolute error = 0.17196245825085432 " " relative error = 12.682176107134836 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8720000000000007 " " y[1] (analytic) = 1.3567033992676099 " " y[1] (numeric) = 1.1844268040119392 " " absolute error = 0.17227659525567063 " " relative error = 12.698176723716534 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8730000000000007 " " y[1] (analytic) = 1.3574693378488836 " " y[1] (numeric) = 1.1848787279088462 " " absolute error = 0.1725906099400374 " " relative error = 12.714144262995541 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8740000000000007 " " y[1] (analytic) = 1.3582359189607658 " " y[1] (numeric) = 1.1853314180656636 " " absolute error = 0.17290450089510223 " " relative error = 12.730078661695059 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8750000000000007 " " y[1] (analytic) = 1.3590031418366753 " " y[1] (numeric) = 1.1857848751245388 " " absolute error = 0.17321826671213647 " " relative error = 12.7459798568261 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8760000000000007 " " y[1] (analytic) = 1.35977100570939 " " y[1] (numeric) = 1.1862390997268522 " " absolute error = 0.17353190598253776 " " relative error = 12.761847785687008 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8770000000000007 " " y[1] (analytic) = 1.3605395098110453 " " y[1] (numeric) = 1.1866940925132168 " " absolute error = 0.17384541729782854 " " relative error = 12.777682385862692 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8780000000000007 " " y[1] (analytic) = 1.3613086533731376 " " y[1] (numeric) = 1.1871498541234773 " " absolute error = 0.17415879924966027 " " relative error = 12.793483595224233 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8790000000000007 " " y[1] (analytic) = 1.3620784356265232 " " y[1] (numeric) = 1.1876063851967098 " " absolute error = 0.1744720504298134 " " relative error = 12.809251351928237 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8800000000000007 " " y[1] (analytic) = 1.3628488558014205 " " y[1] (numeric) = 1.1880636863712206 " " absolute error = 0.17478516943019984 " " relative error = 12.82498559441632 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8810000000000007 " " y[1] (analytic) = 1.3636199131274083 " " y[1] (numeric) = 1.188521758284546 " " absolute error = 0.17509815484286229 " " relative error = 12.840686261414413 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8820000000000007 " " y[1] (analytic) = 1.36439160683343 " " y[1] (numeric) = 1.1889806015734516 " " absolute error = 0.17541100525997844 " " relative error = 12.856353291932356 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8830000000000007 " " y[1] (analytic) = 1.3651639361477923 " " y[1] (numeric) = 1.189440216873932 " " absolute error = 0.17572371927386032 " " relative error = 12.87198662526319 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8840000000000007 " " y[1] (analytic) = 1.3659369002981654 " " y[1] (numeric) = 1.189900604821209 " " absolute error = 0.17603629547695632 " " relative error = 12.887586200982637 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8850000000000007 " " y[1] (analytic) = 1.3667104985115852 " " y[1] (numeric) = 1.1903617660497325 " " absolute error = 0.17634873246185268 " " relative error = 12.90315195894852 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8860000000000007 " " y[1] (analytic) = 1.367484730014454 " " y[1] (numeric) = 1.1908237011931786 " " absolute error = 0.17666102882127532 " " relative error = 12.918683839300208 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8870000000000007 " " y[1] (analytic) = 1.3682595940325397 " " y[1] (numeric) = 1.1912864108844496 " " absolute error = 0.17697318314809007 " " relative error = 12.934181782457966 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8880000000000007 " " y[1] (analytic) = 1.3690350897909789 " " y[1] (numeric) = 1.1917498957556736 " " absolute error = 0.1772851940353053 " " relative error = 12.949645729122459 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8890000000000007 " " y[1] (analytic) = 1.3698112165142757 " " y[1] (numeric) = 1.192214156438203 " " absolute error = 0.1775970600760728 " " relative error = 12.965075620274126 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8900000000000007 " " y[1] (analytic) = 1.3705879734263036 " " y[1] (numeric) = 1.1926791935626146 " " absolute error = 0.17790877986368892 " " relative error = 12.980471397172598 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8910000000000007 " " y[1] (analytic) = 1.3713653597503055 " " y[1] (numeric) = 1.1931450077587091 " " absolute error = 0.17822035199159636 " " relative error = 12.995833001356125 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8920000000000007 " " y[1] (analytic) = 1.3721433747088954 " " y[1] (numeric) = 1.1936115996555097 " " absolute error = 0.1785317750533857 " " relative error = 13.011160374641008 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8930000000000007 " " y[1] (analytic) = 1.3729220175240582 " " y[1] (numeric) = 1.1940789698812622 " " absolute error = 0.17884304764279602 " " relative error = 13.026453459120965 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8940000000000007 " " y[1] (analytic) = 1.373701287417151 " " y[1] (numeric) = 1.1945471190634336 " " absolute error = 0.17915416835371745 " " relative error = 13.041712197166618 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8950000000000007 " " y[1] (analytic) = 1.3744811836089044 " " y[1] (numeric) = 1.1950160478287124 " " absolute error = 0.17946513578019196 " " relative error = 13.056936531424869 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8960000000000007 " " y[1] (analytic) = 1.375261705319422 " " y[1] (numeric) = 1.1954857568030073 " " absolute error = 0.17977594851641476 " " relative error = 13.072126404818311 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8970000000000007 " " y[1] (analytic) = 1.3760428517681824 " " y[1] (numeric) = 1.195956246611447 " " absolute error = 0.18008660515673536 " " relative error = 13.087281760544618 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8980000000000007 " " y[1] (analytic) = 1.376824622174039 " " y[1] (numeric) = 1.1964275178783792 " " absolute error = 0.1803971042956598 " " relative error = 13.10240254207602 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.8990000000000007 " " y[1] (analytic) = 1.3776070157552214 " " y[1] (numeric) = 1.19689957122737 " " absolute error = 0.18070744452785137 " " relative error = 13.117488693158645 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9000000000000007 " " y[1] (analytic) = 1.378390031729336 " " y[1] (numeric) = 1.1973724072812038 " " absolute error = 0.1810176244481323 " " relative error = 13.132540157811976 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9010000000000007 " " y[1] (analytic) = 1.3791736693133674 " " y[1] (numeric) = 1.1978460266618818 " " absolute error = 0.1813276426514856 " " relative error = 13.147556880328278 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9020000000000007 " " y[1] (analytic) = 1.3799579277236775 " " y[1] (numeric) = 1.1983204299906223 " " absolute error = 0.18163749773305526 " " relative error = 13.162538805271918 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9030000000000007 " " y[1] (analytic) = 1.3807428061760083 " " y[1] (numeric) = 1.1987956178878596 " " absolute error = 0.1819471882881487 " " relative error = 13.177485877478853 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9040000000000007 " " y[1] (analytic) = 1.3815283038854813 " " y[1] (numeric) = 1.1992715909732432 " " absolute error = 0.1822567129122381 " " relative error = 13.19239804205603 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9050000000000007 " " y[1] (analytic) = 1.3823144200665989 " " y[1] (numeric) = 1.1997483498656376 " " absolute error = 0.18256607020096127 " " relative error = 13.207275244380751 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9060000000000007 " " y[1] (analytic) = 1.383101153933245 " " y[1] (numeric) = 1.2002258951831213 " " absolute error = 0.18287525875012367 " " relative error = 13.222117430100134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9070000000000007 " " y[1] (analytic) = 1.3838885046986857 " " y[1] (numeric) = 1.2007042275429867 " " absolute error = 0.18318427715569907 " " relative error = 13.236924545130448 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9080000000000007 " " y[1] (analytic) = 1.3846764715755704 " " y[1] (numeric) = 1.2011833475617388 " " absolute error = 0.18349312401383155 " " relative error = 13.251696535656574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9090000000000007 " " y[1] (analytic) = 1.385465053775932 " " y[1] (numeric) = 1.2016632558550953 " " absolute error = 0.18380179792083684 " " relative error = 13.266433348131397 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9100000000000007 " " y[1] (analytic) = 1.386254250511189 " " y[1] (numeric) = 1.2021439530379854 " " absolute error = 0.18411029747320362 " " relative error = 13.281134929275199 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9110000000000007 " " y[1] (analytic) = 1.3870440609921442 " " y[1] (numeric) = 1.2026254397245493 " " absolute error = 0.1844186212675949 " " relative error = 13.295801226075065 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9120000000000007 " " y[1] (analytic) = 1.3878344844289874 " " y[1] (numeric) = 1.2031077165281379 " " absolute error = 0.18472676790084952 " " relative error = 13.3104321857843 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9130000000000007 " " y[1] (analytic) = 1.388625520031295 " " y[1] (numeric) = 1.203590784061312 " " absolute error = 0.18503473596998288 " " relative error = 13.325027755921756 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9140000000000007 " " y[1] (analytic) = 1.3894171670080318 " " y[1] (numeric) = 1.2040746429358418 " " absolute error = 0.18534252407218998 " " relative error = 13.339587884271376 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9150000000000007 " " y[1] (analytic) = 1.3902094245675505 " " y[1] (numeric) = 1.2045592937627054 " " absolute error = 0.18565013080484505 " " relative error = 13.354112518881452 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9160000000000007 " " y[1] (analytic) = 1.391002291917594 " " y[1] (numeric) = 1.20504473715209 " " absolute error = 0.1859575547655039 " " relative error = 13.368601608064097 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9170000000000007 " " y[1] (analytic) = 1.3917957682652946 " " y[1] (numeric) = 1.2055309737133897 " " absolute error = 0.18626479455190492 " " relative error = 13.383055100394614 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9180000000000007 " " y[1] (analytic) = 1.3925898528171763 " " y[1] (numeric) = 1.206018004055205 " " absolute error = 0.1865718487619712 " " relative error = 13.397472944710948 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9190000000000007 " " y[1] (analytic) = 1.3933845447791549 " " y[1] (numeric) = 1.2065058287853436 " " absolute error = 0.18687871599381123 " " relative error = 13.41185509011302 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9200000000000007 " " y[1] (analytic) = 1.3941798433565378 " " y[1] (numeric) = 1.2069944485108182 " " absolute error = 0.1871853948457196 " " relative error = 13.426201485962105 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9210000000000007 " " y[1] (analytic) = 1.3949757477540268 " " y[1] (numeric) = 1.2074838638378464 " " absolute error = 0.18749188391618032 " " relative error = 13.440512081880323 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9220000000000007 " " y[1] (analytic) = 1.395772257175718 " " y[1] (numeric) = 1.2079740753718506 " " absolute error = 0.18779818180386743 " " relative error = 13.454786827750006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9230000000000007 " " y[1] (analytic) = 1.3965693708251012 " " y[1] (numeric) = 1.2084650837174569 " " absolute error = 0.18810428710764437 " " relative error = 13.469025673712956 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9240000000000007 " " y[1] (analytic) = 1.3973670879050637 " " y[1] (numeric) = 1.2089568894784941 " " absolute error = 0.1884101984265696 " " relative error = 13.483228570170107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9250000000000007 " " y[1] (analytic) = 1.398165407617888 " " y[1] (numeric) = 1.2094494932579942 " " absolute error = 0.18871591435989377 " " relative error = 13.497395467780658 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9260000000000007 " " y[1] (analytic) = 1.3989643291652545 " " y[1] (numeric) = 1.209942895658191 " " absolute error = 0.18902143350706346 " " relative error = 13.511526317461598 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9270000000000007 " " y[1] (analytic) = 1.3997638517482418 " " y[1] (numeric) = 1.2104370972805196 " " absolute error = 0.18932675446772218 " " relative error = 13.525621070387096 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9280000000000007 " " y[1] (analytic) = 1.4005639745673273 " " y[1] (numeric) = 1.210932098725616 " " absolute error = 0.18963187584171126 " " relative error = 13.539679677987845 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9290000000000007 " " y[1] (analytic) = 1.401364696822388 " " y[1] (numeric) = 1.2114279005933162 " " absolute error = 0.1899367962290719 " " relative error = 13.553702091950509 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9300000000000007 " " y[1] (analytic) = 1.4021660177127022 " " y[1] (numeric) = 1.2119245034826558 " " absolute error = 0.19024151423004643 " " relative error = 13.56768826421709 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9310000000000007 " " y[1] (analytic) = 1.4029679364369492 " " y[1] (numeric) = 1.2124219079918694 " " absolute error = 0.19054602844507973 " " relative error = 13.581638146984341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9320000000000007 " " y[1] (analytic) = 1.4037704521932095 " " y[1] (numeric) = 1.2129201147183901 " " absolute error = 0.1908503374748194 " " relative error = 13.595551692703069 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9330000000000007 " " y[1] (analytic) = 1.404573564178968 " " y[1] (numeric) = 1.2134191242588488 " " absolute error = 0.19115443992011927 " " relative error = 13.609428854077644 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9340000000000007 " " y[1] (analytic) = 1.405377271591113 " " y[1] (numeric) = 1.2139189372090733 " " absolute error = 0.19145833438203974 " " relative error = 13.623269584065362 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9350000000000007 " " y[1] (analytic) = 1.4061815736259367 " " y[1] (numeric) = 1.2144195541640883 " " absolute error = 0.19176201946184834 " " relative error = 13.63707383587574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9360000000000007 " " y[1] (analytic) = 1.4069864694791372 " " y[1] (numeric) = 1.2149209757181143 " " absolute error = 0.1920654937610229 " " relative error = 13.650841562970044 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9370000000000007 " " y[1] (analytic) = 1.407791958345819 " " y[1] (numeric) = 1.2154232024645675 " " absolute error = 0.19236875588125146 " " relative error = 13.664572719060581 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9380000000000007 " " y[1] (analytic) = 1.4085980394204929 " " y[1] (numeric) = 1.2159262349960585 " " absolute error = 0.19267180442443443 " " relative error = 13.678267258110125 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9390000000000007 " " y[1] (analytic) = 1.409404711897078 " " y[1] (numeric) = 1.2164300739043923 " " absolute error = 0.19297463799268577 " " relative error = 13.691925134331306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9400000000000007 " " y[1] (analytic) = 1.4102119749689024 " " y[1] (numeric) = 1.2169347197805676 " " absolute error = 0.19327725518833483 " " relative error = 13.705546302186018 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9410000000000007 " " y[1] (analytic) = 1.4110198278287025 " " y[1] (numeric) = 1.217440173214776 " " absolute error = 0.19357965461392657 " " relative error = 13.719130716384736 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9420000000000007 " " y[1] (analytic) = 1.4118282696686255 " " y[1] (numeric) = 1.2179464347964015 " " absolute error = 0.193881834872224 " " relative error = 13.732678331885973 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9430000000000007 " " y[1] (analytic) = 1.41263729968023 " " y[1] (numeric) = 1.2184535051140202 " " absolute error = 0.19418379456620993 " " relative error = 13.746189103895679 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9440000000000007 " " y[1] (analytic) = 1.4134469170544857 " " y[1] (numeric) = 1.2189613847553993 " " absolute error = 0.19448553229908638 " " relative error = 13.759662987866516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9450000000000007 " " y[1] (analytic) = 1.4142571209817758 " " y[1] (numeric) = 1.2194700743074967 " " absolute error = 0.19478704667427915 " " relative error = 13.773099939497436 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9460000000000007 " " y[1] (analytic) = 1.4150679106518957 " " y[1] (numeric) = 1.2199795743564603 " " absolute error = 0.19508833629543543 " " relative error = 13.786499914732842 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9470000000000007 " " y[1] (analytic) = 1.4158792852540565 " " y[1] (numeric) = 1.2204898854876276 " " absolute error = 0.19538939976642888 " " relative error = 13.799862869762196 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9480000000000007 " " y[1] (analytic) = 1.4166912439768833 " " y[1] (numeric) = 1.221001008285525 " " absolute error = 0.19569023569135835 " " relative error = 13.81318876101923 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9490000000000007 " " y[1] (analytic) = 1.4175037860084174 " " y[1] (numeric) = 1.2215129433338672 " " absolute error = 0.19599084267455025 " " relative error = 13.826477545181415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9500000000000007 " " y[1] (analytic) = 1.418316910536117 " " y[1] (numeric) = 1.222025691215557 " " absolute error = 0.19629121932056015 " " relative error = 13.839729179169344 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9510000000000007 " " y[1] (analytic) = 1.4191306167468576 " " y[1] (numeric) = 1.2225392525126835 " " absolute error = 0.19659136423417412 " " relative error = 13.852943620146121 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9520000000000007 " " y[1] (analytic) = 1.4199449038269332 " " y[1] (numeric) = 1.2230536278065234 " " absolute error = 0.1968912760204098 " " relative error = 13.866120825516724 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9530000000000007 " " y[1] (analytic) = 1.4207597709620565 " " y[1] (numeric) = 1.2235688176775388 " " absolute error = 0.19719095328451774 " " relative error = 13.879260752927388 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9540000000000007 " " y[1] (analytic) = 1.4215752173373606 " " y[1] (numeric) = 1.2240848227053773 " " absolute error = 0.19749039463198326 " " relative error = 13.892363360265016 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9550000000000007 " " y[1] (analytic) = 1.4223912421373992 " " y[1] (numeric) = 1.2246016434688716 " " absolute error = 0.19778959866852763 " " relative error = 13.905428605656564 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9560000000000007 " " y[1] (analytic) = 1.4232078445461473 " " y[1] (numeric) = 1.2251192805460382 " " absolute error = 0.1980885640001091 " " relative error = 13.918456447468387 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9570000000000007 " " y[1] (analytic) = 1.424025023747003 " " y[1] (numeric) = 1.2256377345140776 " " absolute error = 0.19838728923292526 " " relative error = 13.931446844305695 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9580000000000007 " " y[1] (analytic) = 1.424842778922787 " " y[1] (numeric) = 1.2261570059493736 " " absolute error = 0.1986857729734135 " " relative error = 13.944399755011874 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9590000000000007 " " y[1] (analytic) = 1.4256611092557439 " " y[1] (numeric) = 1.2266770954274921 " " absolute error = 0.1989840138282517 " " relative error = 13.957315138667834 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9600000000000007 " " y[1] (analytic) = 1.426480013927544 " " y[1] (numeric) = 1.227198003523181 " " absolute error = 0.19928201040436289 " " relative error = 13.97019295459159 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9610000000000007 " " y[1] (analytic) = 1.4272994921192823 " " y[1] (numeric) = 1.2277197308103702 " " absolute error = 0.19957976130891208 " " relative error = 13.983033162337367 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9620000000000007 " " y[1] (analytic) = 1.4281195430114806 " " y[1] (numeric) = 1.2282422778621696 " " absolute error = 0.19987726514931103 " " relative error = 13.9958357216952 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9630000000000007 " " y[1] (analytic) = 1.4289401657840881 " " y[1] (numeric) = 1.2287656452508697 " " absolute error = 0.20017452053321838 " " relative error = 14.008600592690222 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9640000000000007 " " y[1] (analytic) = 1.4297613596164824 " " y[1] (numeric) = 1.2292898335479407 " " absolute error = 0.20047152606854168 " " relative error = 14.021327735582108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9650000000000007 " " y[1] (analytic) = 1.4305831236874698 " " y[1] (numeric) = 1.229814843324032 " " absolute error = 0.20076828036343786 " " relative error = 14.034017110864395 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9660000000000007 " " y[1] (analytic) = 1.431405457175286 " " y[1] (numeric) = 1.230340675148971 " " absolute error = 0.20106478202631495 " " relative error = 14.04666867926389 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9670000000000007 " " y[1] (analytic) = 1.4322283592575973 " " y[1] (numeric) = 1.2308673295917636 " " absolute error = 0.2013610296658337 " " relative error = 14.059282401740054 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9680000000000007 " " y[1] (analytic) = 1.4330518291115024 " " y[1] (numeric) = 1.231394807220593 " " absolute error = 0.2016570218909095 " " relative error = 14.071858239484445 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9690000000000007 " " y[1] (analytic) = 1.4338758659135307 " " y[1] (numeric) = 1.2319231086028188 " " absolute error = 0.20195275731071183 " " relative error = 14.084396153919961 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9700000000000008 " " y[1] (analytic) = 1.4347004688396463 " " y[1] (numeric) = 1.2324522343049775 " " absolute error = 0.20224823453466878 " " relative error = 14.096896106700422 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9710000000000008 " " y[1] (analytic) = 1.4355256370652458 " " y[1] (numeric) = 1.2329821848927809 " " absolute error = 0.20254345217246494 " " relative error = 14.109358059709747 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9720000000000008 " " y[1] (analytic) = 1.4363513697651613 " " y[1] (numeric) = 1.2335129609311157 " " absolute error = 0.20283840883404558 " " relative error = 14.121781975061506 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9730000000000008 " " y[1] (analytic) = 1.43717766611366 " " y[1] (numeric) = 1.2340445629840437 " " absolute error = 0.2031331031296162 " " relative error = 14.134167815098186 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9740000000000008 " " y[1] (analytic) = 1.4380045252844456 " " y[1] (numeric) = 1.2345769916148002 " " absolute error = 0.2034275336696454 " " relative error = 14.14651554239068 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9750000000000008 " " y[1] (analytic) = 1.4388319464506591 " " y[1] (numeric) = 1.235110247385794 " " absolute error = 0.20372169906486515 " " relative error = 14.158825119737584 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9760000000000008 " " y[1] (analytic) = 1.4396599287848795 " " y[1] (numeric) = 1.2356443308586071 " " absolute error = 0.20401559792627233 " " relative error = 14.171096510164608 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9770000000000008 " " y[1] (analytic) = 1.4404884714591244 " " y[1] (numeric) = 1.2361792425939935 " " absolute error = 0.20430922886513092 " " relative error = 14.183329676924002 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9780000000000008 " " y[1] (analytic) = 1.4413175736448511 " " y[1] (numeric) = 1.2367149831518789 " " absolute error = 0.20460259049297225 " " relative error = 14.195524583493873 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9790000000000008 " " y[1] (analytic) = 1.4421472345129578 " " y[1] (numeric) = 1.2372515530913604 " " absolute error = 0.20489568142159742 " " relative error = 14.207681193577633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9800000000000008 " " y[1] (analytic) = 1.4429774532337833 " " y[1] (numeric) = 1.2377889529707053 " " absolute error = 0.205188500263078 " " relative error = 14.219799471103341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9810000000000008 " " y[1] (analytic) = 1.4438082289771093 " " y[1] (numeric) = 1.2383271833473517 " " absolute error = 0.20548104562975755 " " relative error = 14.231879380223102 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9820000000000008 " " y[1] (analytic) = 1.4446395609121598 " " y[1] (numeric) = 1.2388662447779064 " " absolute error = 0.20577331613425343 " " relative error = 14.243920885312466 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9830000000000008 " " y[1] (analytic) = 1.4454714482076032 " " y[1] (numeric) = 1.2394061378181458 " " absolute error = 0.2060653103894574 " " relative error = 14.255923950969779 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9840000000000008 " " y[1] (analytic) = 1.4463038900315524 " " y[1] (numeric) = 1.2399468630230142 " " absolute error = 0.2063570270085382 " " relative error = 14.26788854201563 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9850000000000008 " " y[1] (analytic) = 1.447136885551565 " " y[1] (numeric) = 1.240488420946624 " " absolute error = 0.2066484646049409 " " relative error = 14.279814623492127 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9860000000000008 " " y[1] (analytic) = 1.4479704339346462 " " y[1] (numeric) = 1.2410308121422549 " " absolute error = 0.20693962179239134 " " relative error = 14.291702160662453 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9870000000000008 " " y[1] (analytic) = 1.4488045343472475 " " y[1] (numeric) = 1.241574037162353 " " absolute error = 0.2072304971848946 " " relative error = 14.30355111901009 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9880000000000008 " " y[1] (analytic) = 1.4496391859552684 " " y[1] (numeric) = 1.2421180965585308 " " absolute error = 0.20752108939673763 " " relative error = 14.315361464238256 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9890000000000008 " " y[1] (analytic) = 1.4504743879240576 " " y[1] (numeric) = 1.2426629908815667 " " absolute error = 0.20781139704249085 " " relative error = 14.327133162269337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9900000000000008 " " y[1] (analytic) = 1.4513101394184131 " " y[1] (numeric) = 1.2432087206814038 " " absolute error = 0.20810141873700938 " " relative error = 14.338866179244249 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9910000000000008 " " y[1] (analytic) = 1.4521464396025834 " " y[1] (numeric) = 1.2437552865071497 " " absolute error = 0.20839115309543366 " " relative error = 14.350560481521766 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9920000000000008 " " y[1] (analytic) = 1.4529832876402684 " " y[1] (numeric) = 1.2443026889070765 " " absolute error = 0.2086805987331919 " " relative error = 14.36221603567799 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9930000000000008 " " y[1] (analytic) = 1.4538206826946203 " " y[1] (numeric) = 1.2448509284286189 " " absolute error = 0.2089697542660014 " " relative error = 14.373832808505735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9940000000000008 " " y[1] (analytic) = 1.454658623928244 " " y[1] (numeric) = 1.2454000056183752 " " absolute error = 0.2092586183098688 " " relative error = 14.38541076701383 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9950000000000008 " " y[1] (analytic) = 1.455497110503198 " " y[1] (numeric) = 1.2459499210221054 " " absolute error = 0.20954718948109252 " " relative error = 14.396949878426579 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9960000000000008 " " y[1] (analytic) = 1.4563361415809966 " " y[1] (numeric) = 1.246500675184732 " " absolute error = 0.2098354663962645 " " relative error = 14.408450110183175 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9970000000000008 " " y[1] (analytic) = 1.4571757163226078 " " y[1] (numeric) = 1.2470522686503385 " " absolute error = 0.21012344767226931 " " relative error = 14.419911429936947 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9980000000000008 " " y[1] (analytic) = 1.458015833888458 " " y[1] (numeric) = 1.2476047019621685 " " absolute error = 0.21041113192628935 " " relative error = 14.431333805554978 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.9990000000000008 " " y[1] (analytic) = 1.4588564934384287 " " y[1] (numeric) = 1.2481579756626264 " " absolute error = 0.21069851777580229 " " relative error = 14.44271720511726 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0000000000000007 " " y[1] (analytic) = 1.4596976941318607 " " y[1] (numeric) = 1.2487120902932762 " " absolute error = 0.21098560383858445 " " relative error = 14.454061596916192 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0010000000000006 " " y[1] (analytic) = 1.4605394351275538 " " y[1] (numeric) = 1.2492670463948408 " " absolute error = 0.21127238873271303 " " relative error = 14.465366949456035 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0020000000000004 " " y[1] (analytic) = 1.461381715583767 " " y[1] (numeric) = 1.2498228445072013 " " absolute error = 0.21155887107656568 " " relative error = 14.476633231452187 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0030000000000003 " " y[1] (analytic) = 1.4622245346582194 " " y[1] (numeric) = 1.2503794851693975 " " absolute error = 0.211845049488822 " " relative error = 14.487860411830573 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0040000000000002 " " y[1] (analytic) = 1.4630678915080924 " " y[1] (numeric) = 1.250936968919626 " " absolute error = 0.21213092258846644 " " relative error = 14.499048459727142 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0050000000000001 " " y[1] (analytic) = 1.4639117852900294 " " y[1] (numeric) = 1.2514952962952406 " " absolute error = 0.21241648899478882 " " relative error = 14.510197344487187 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.006 " " y[1] (analytic) = 1.464756215160136 " " y[1] (numeric) = 1.2520544678327516 " " absolute error = 0.21270174732738445 " " relative error = 14.521307035664677 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.007 " " y[1] (analytic) = 1.4656011802739832 " " y[1] (numeric) = 1.252614484067825 " " absolute error = 0.21298669620615818 " " relative error = 14.532377503021792 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0079999999999998 " " y[1] (analytic) = 1.4664466797866054 " " y[1] (numeric) = 1.253175345535282 " " absolute error = 0.21327133425132327 " " relative error = 14.543408716528182 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0089999999999997 " " y[1] (analytic) = 1.4672927128525033 " " y[1] (numeric) = 1.253737052769099 " " absolute error = 0.21355566008340432 " " relative error = 14.554400646360437 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0099999999999996 " " y[1] (analytic) = 1.4681392786256442 " " y[1] (numeric) = 1.254299606302406 " " absolute error = 0.2138396723232383 " " relative error = 14.565353262901464 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0109999999999995 " " y[1] (analytic) = 1.468986376259462 " " y[1] (numeric) = 1.2548630066674868 " " absolute error = 0.2141233695919751 " " relative error = 14.576266536739837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0119999999999993 " " y[1] (analytic) = 1.4698340049068594 " " y[1] (numeric) = 1.255427254395779 " " absolute error = 0.2144067505110805 " " relative error = 14.587140438669264 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0129999999999992 " " y[1] (analytic) = 1.4706821637202077 " " y[1] (numeric) = 1.2559923500178722 " " absolute error = 0.21468981370233542 " " relative error = 14.597974939687882 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0139999999999991 " " y[1] (analytic) = 1.471530851851348 " " y[1] (numeric) = 1.2565582940635085 " " absolute error = 0.2149725577878394 " " relative error = 14.608770010997748 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.014999999999999 " " y[1] (analytic) = 1.4723800684515924 " " y[1] (numeric) = 1.257125087061581 " " absolute error = 0.2152549813900113 " " relative error = 14.619525624004213 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.015999999999999 " " y[1] (analytic) = 1.4732298126717245 " " y[1] (numeric) = 1.2576927295401348 " " absolute error = 0.2155370831315897 " " relative error = 14.630241750315244 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0169999999999988 " " y[1] (analytic) = 1.4740800836619998 " " y[1] (numeric) = 1.2582612220263645 " " absolute error = 0.21581886163563535 " " relative error = 14.6409183617409 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0179999999999987 " " y[1] (analytic) = 1.474930880572148 " " y[1] (numeric) = 1.2588305650466152 " " absolute error = 0.21610031552553277 " " relative error = 14.65155543029272 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0189999999999986 " " y[1] (analytic) = 1.4757822025513718 " " y[1] (numeric) = 1.2594007591263814 " " absolute error = 0.21638144342499044 " " relative error = 14.66215292818306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0199999999999985 " " y[1] (analytic) = 1.4766340487483491 " " y[1] (numeric) = 1.2599718047903068 " " absolute error = 0.21666224395804234 " " relative error = 14.6727108278245 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0209999999999984 " " y[1] (analytic) = 1.4774864183112342 " " y[1] (numeric) = 1.260543702562183 " " absolute error = 0.2169427157490511 " " relative error = 14.68322910182934 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0219999999999982 " " y[1] (analytic) = 1.4783393103876574 " " y[1] (numeric) = 1.2611164529649501 " " absolute error = 0.2172228574227073 " " relative error = 14.693707723008872 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0229999999999981 " " y[1] (analytic) = 1.4791927241247267 " " y[1] (numeric) = 1.261690056520695 " " absolute error = 0.2175026676040317 " " relative error = 14.704146664372837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.023999999999998 " " y[1] (analytic) = 1.4800466586690286 " " y[1] (numeric) = 1.2622645137506516 " " absolute error = 0.217782144918377 " " relative error = 14.714545899128844 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.024999999999998 " " y[1] (analytic) = 1.4809011131666285 " " y[1] (numeric) = 1.2628398251752004 " " absolute error = 0.2180612879914281 " " relative error = 14.724905400681688 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0259999999999978 " " y[1] (analytic) = 1.481756086763072 " " y[1] (numeric) = 1.2634159913138676 " " absolute error = 0.2183400954492043 " " relative error = 14.735225142632817 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0269999999999977 " " y[1] (analytic) = 1.4826115786033855 " " y[1] (numeric) = 1.2639930126853243 " " absolute error = 0.21861856591806128 " " relative error = 14.745505098779757 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0279999999999976 " " y[1] (analytic) = 1.4834675878320773 " " y[1] (numeric) = 1.2645708898073869 " " absolute error = 0.21889669802469047 " " relative error = 14.755745243115397 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0289999999999975 " " y[1] (analytic) = 1.484324113593138 " " y[1] (numeric) = 1.2651496231970156 " " absolute error = 0.21917449039612236 " " relative error = 14.765945549827494 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0299999999999974 " " y[1] (analytic) = 1.4851811550300424 " " y[1] (numeric) = 1.2657292133703149 " " absolute error = 0.2194519416597276 " " relative error = 14.776105993298069 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0309999999999973 " " y[1] (analytic) = 1.4860387112857487 " " y[1] (numeric) = 1.2663096608425317 " " absolute error = 0.219729050443217 " " relative error = 14.786226548102725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0319999999999971 " " y[1] (analytic) = 1.486896781502701 " " y[1] (numeric) = 1.2668909661280565 " " absolute error = 0.22000581537464448 " " relative error = 14.796307189010136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.032999999999997 " " y[1] (analytic) = 1.487755364822829 " " y[1] (numeric) = 1.2674731297404214 " " absolute error = 0.22028223508240763 " " relative error = 14.806347890981405 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.033999999999997 " " y[1] (analytic) = 1.4886144603875495 " " y[1] (numeric) = 1.2680561521923002 " " absolute error = 0.22055830819524935 " " relative error = 14.81634862916948 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0349999999999968 " " y[1] (analytic) = 1.4894740673377669 " " y[1] (numeric) = 1.268640033995508 " " absolute error = 0.22083403334225893 " " relative error = 14.82630937891855 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0359999999999967 " " y[1] (analytic) = 1.4903341848138747 " " y[1] (numeric) = 1.2692247756610007 " " absolute error = 0.22110940915287403 " " relative error = 14.836230115763467 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0369999999999966 " " y[1] (analytic) = 1.491194811955755 " " y[1] (numeric) = 1.269810377698874 " " absolute error = 0.22138443425688092 " " relative error = 14.846110815429096 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0379999999999965 " " y[1] (analytic) = 1.4920559479027808 " " y[1] (numeric) = 1.2703968406183637 " " absolute error = 0.22165910728441718 " " relative error = 14.855951453829801 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0389999999999964 " " y[1] (analytic) = 1.4929175917938167 " " y[1] (numeric) = 1.270984164927844 " " absolute error = 0.22193342686597273 " " relative error = 14.865752007068815 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0399999999999963 " " y[1] (analytic) = 1.4937797427672184 " " y[1] (numeric) = 1.2715723511348285 " " absolute error = 0.2222073916323899 " " relative error = 14.875512451437585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0409999999999962 " " y[1] (analytic) = 1.4946423999608351 " " y[1] (numeric) = 1.2721613997459682 " " absolute error = 0.22248100021486694 " " relative error = 14.8852327634153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.041999999999996 " " y[1] (analytic) = 1.4955055625120097 " " y[1] (numeric) = 1.2727513112670523 " " absolute error = 0.2227542512449574 " " relative error = 14.894912919668165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.042999999999996 " " y[1] (analytic) = 1.49636922955758 " " y[1] (numeric) = 1.2733420862030067 " " absolute error = 0.2230271433545732 " " relative error = 14.904552897048942 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0439999999999958 " " y[1] (analytic) = 1.4972334002338785 " " y[1] (numeric) = 1.2739337250578942 " " absolute error = 0.22329967517598437 " " relative error = 14.914152672596227 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0449999999999957 " " y[1] (analytic) = 1.4980980736767349 " " y[1] (numeric) = 1.274526228334913 " " absolute error = 0.22357184534182184 " " relative error = 14.923712223533972 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0459999999999956 " " y[1] (analytic) = 1.4989632490214757 " " y[1] (numeric) = 1.275119596536398 " " absolute error = 0.22384365248507776 " " relative error = 14.933231527270802 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0469999999999955 " " y[1] (analytic) = 1.499828925402926 " " y[1] (numeric) = 1.275713830163818 " " absolute error = 0.224115095239108 " " relative error = 14.942710561399524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0479999999999954 " " y[1] (analytic) = 1.5006951019554091 " " y[1] (numeric) = 1.2763089297177772 " " absolute error = 0.2243861722376319 " " relative error = 14.952149303696416 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0489999999999953 " " y[1] (analytic) = 1.5015617778127486 " " y[1] (numeric) = 1.2769048956980136 " " absolute error = 0.224656882114735 " " relative error = 14.961547732120732 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0499999999999952 " " y[1] (analytic) = 1.5024289521082688 " " y[1] (numeric) = 1.2775017286033985 " " absolute error = 0.22492722350487027 " " relative error = 14.970905824814102 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.050999999999995 " " y[1] (analytic) = 1.5032966239747954 " " y[1] (numeric) = 1.2780994289319367 " " absolute error = 0.22519719504285862 " " relative error = 14.980223560099896 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.051999999999995 " " y[1] (analytic) = 1.5041647925446566 " " y[1] (numeric) = 1.2786979971807655 " " absolute error = 0.22546679536389114 " " relative error = 14.989500916482681 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0529999999999948 " " y[1] (analytic) = 1.505033456949684 " " y[1] (numeric) = 1.279297433846154 " " absolute error = 0.22573602310352991 " " relative error = 14.998737872647618 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0539999999999947 " " y[1] (analytic) = 1.5059026163212132 " " y[1] (numeric) = 1.2798977394235034 " " absolute error = 0.22600487689770987 " " relative error = 15.007934407459878 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0549999999999946 " " y[1] (analytic) = 1.506772269790085 " " y[1] (numeric) = 1.2804989144073453 " " absolute error = 0.22627335538273963 " " relative error = 15.017090499964057 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0559999999999945 " " y[1] (analytic) = 1.5076424164866458 " " y[1] (numeric) = 1.2811009592913425 " " absolute error = 0.22654145719530328 " " relative error = 15.026206129383592 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0569999999999944 " " y[1] (analytic) = 1.5085130555407489 " " y[1] (numeric) = 1.2817038745682876 " " absolute error = 0.22680918097246128 " " relative error = 15.035281275120166 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0579999999999943 " " y[1] (analytic) = 1.5093841860817556 " " y[1] (numeric) = 1.2823076607301027 " " absolute error = 0.2270765253516529 " " relative error = 15.044315916753174 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0589999999999942 " " y[1] (analytic) = 1.5102558072385355 " " y[1] (numeric) = 1.2829123182678395 " " absolute error = 0.227343488970696 " " relative error = 15.053310034039058 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.059999999999994 " " y[1] (analytic) = 1.5111279181394672 " " y[1] (numeric) = 1.2835178476716778 " " absolute error = 0.22761007046778947 " " relative error = 15.062263606910777 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.060999999999994 " " y[1] (analytic) = 1.51200051791244 " " y[1] (numeric) = 1.2841242494309255 " " absolute error = 0.22787626848151454 " " relative error = 15.071176615477247 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0619999999999938 " " y[1] (analytic) = 1.5128736056848544 " " y[1] (numeric) = 1.2847315240340187 " " absolute error = 0.22814208165083572 " " relative error = 15.0800490400227 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0629999999999937 " " y[1] (analytic) = 1.5137471805836225 " " y[1] (numeric) = 1.2853396719685204 " " absolute error = 0.22840750861510206 " " relative error = 15.088880861006126 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0639999999999936 " " y[1] (analytic) = 1.5146212417351694 " " y[1] (numeric) = 1.28594869372112 " " absolute error = 0.22867254801404946 " " relative error = 15.097672059060738 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0649999999999935 " " y[1] (analytic) = 1.515495788265434 " " y[1] (numeric) = 1.2865585897776333 " " absolute error = 0.2289371984878008 " " relative error = 15.106422614993319 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0659999999999934 " " y[1] (analytic) = 1.5163708192998702 " " y[1] (numeric) = 1.287169360623002 " " absolute error = 0.22920145867686825 " " relative error = 15.11513250978371 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0669999999999933 " " y[1] (analytic) = 1.5172463339634468 " " y[1] (numeric) = 1.2877810067412925 " " absolute error = 0.2294653272221543 " " relative error = 15.1238017245842 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0679999999999932 " " y[1] (analytic) = 1.518122331380649 " " y[1] (numeric) = 1.2883935286156964 " " absolute error = 0.22972880276495244 " " relative error = 15.132430240718923 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.068999999999993 " " y[1] (analytic) = 1.5189988106754797 " " y[1] (numeric) = 1.2890069267285293 " " absolute error = 0.22999188394695036 " " relative error = 15.14101803968338 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.069999999999993 " " y[1] (analytic) = 1.5198757709714596 " " y[1] (numeric) = 1.2896212015612307 " " absolute error = 0.23025456941022893 " " relative error = 15.149565103143726 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0709999999999928 " " y[1] (analytic) = 1.5207532113916287 " " y[1] (numeric) = 1.2902363535943633 " " absolute error = 0.23051685779726538 " " relative error = 15.158071412936312 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0719999999999927 " " y[1] (analytic) = 1.5216311310585464 " " y[1] (numeric) = 1.2908523833076126 " " absolute error = 0.23077874775093377 " " relative error = 15.16653695106704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0729999999999926 " " y[1] (analytic) = 1.5225095290942932 " " y[1] (numeric) = 1.2914692911797865 " " absolute error = 0.23104023791450667 " " relative error = 15.17496169971083 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0739999999999925 " " y[1] (analytic) = 1.523388404620471 " " y[1] (numeric) = 1.2920870776888145 " " absolute error = 0.23130132693165661 " " relative error = 15.183345641211035 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0749999999999924 " " y[1] (analytic) = 1.5242677567582046 " " y[1] (numeric) = 1.2927057433117477 " " absolute error = 0.23156201344645688 " " relative error = 15.191688758078852 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0759999999999923 " " y[1] (analytic) = 1.5251475846281417 " " y[1] (numeric) = 1.2933252885247581 " " absolute error = 0.23182229610338356 " " relative error = 15.199991032992784 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0769999999999922 " " y[1] (analytic) = 1.5260278873504547 " " y[1] (numeric) = 1.293945713803138 " " absolute error = 0.23208217354731664 " " relative error = 15.20825244879805 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.077999999999992 " " y[1] (analytic) = 1.5269086640448406 " " y[1] (numeric) = 1.2945670196212995 " " absolute error = 0.2323416444235411 " " relative error = 15.216472988506007 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.078999999999992 " " y[1] (analytic) = 1.5277899138305233 " " y[1] (numeric) = 1.2951892064527746 " " absolute error = 0.23260070737774874 " " relative error = 15.22465263529361 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0799999999999919 " " y[1] (analytic) = 1.5286716358262529 " " y[1] (numeric) = 1.2958122747702137 " " absolute error = 0.23285936105603922 " " relative error = 15.232791372502824 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0809999999999917 " " y[1] (analytic) = 1.529553829150307 " " y[1] (numeric) = 1.2964362250453862 " " absolute error = 0.23311760410492077 " " relative error = 15.240889183640013 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0819999999999916 " " y[1] (analytic) = 1.5304364929204932 " " y[1] (numeric) = 1.2970610577491795 " " absolute error = 0.23337543517131376 " " relative error = 15.24894605237551 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0829999999999915 " " y[1] (analytic) = 1.531319626254147 " " y[1] (numeric) = 1.2976867733515982 " " absolute error = 0.23363285290254887 " " relative error = 15.25696196254287 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0839999999999914 " " y[1] (analytic) = 1.5322032282681357 " " y[1] (numeric) = 1.2983133723217644 " " absolute error = 0.23388985594637135 " " relative error = 15.264936898138462 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0849999999999913 " " y[1] (analytic) = 1.533087298078857 " " y[1] (numeric) = 1.2989408551279165 " " absolute error = 0.23414644295094056 " " relative error = 15.272870843320812 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0859999999999912 " " y[1] (analytic) = 1.5339718348022413 " " y[1] (numeric) = 1.2995692222374093 " " absolute error = 0.23440261256483197 " " relative error = 15.28076378241006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.086999999999991 " " y[1] (analytic) = 1.5348568375537521 " " y[1] (numeric) = 1.3001984741167134 " " absolute error = 0.23465836343703872 " " relative error = 15.288615699887435 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.087999999999991 " " y[1] (analytic) = 1.5357423054483865 " " y[1] (numeric) = 1.3008286112314142 " " absolute error = 0.23491369421697228 " " relative error = 15.29642658039463 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0889999999999909 " " y[1] (analytic) = 1.5366282376006768 " " y[1] (numeric) = 1.3014596340462123 " " absolute error = 0.23516860355446445 " " relative error = 15.304196408733294 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0899999999999908 " " y[1] (analytic) = 1.537514633124691 " " y[1] (numeric) = 1.3020915430249225 " " absolute error = 0.23542309009976847 " " relative error = 15.311925169864441 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0909999999999906 " " y[1] (analytic) = 1.5384014911340333 " " y[1] (numeric) = 1.3027243386304732 " " absolute error = 0.23567715250356014 " " relative error = 15.319612848907902 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0919999999999905 " " y[1] (analytic) = 1.539288810741846 " " y[1] (numeric) = 1.3033580213249065 " " absolute error = 0.23593078941693957 " " relative error = 15.327259431141767 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0929999999999904 " " y[1] (analytic) = 1.5401765910608098 " " y[1] (numeric) = 1.303992591569377 " " absolute error = 0.23618399949143276 " " relative error = 15.334864902001856 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0939999999999903 " " y[1] (analytic) = 1.541064831203144 " " y[1] (numeric) = 1.3046280498241523 " " absolute error = 0.23643678137899182 " " relative error = 15.342429247081078 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0949999999999902 " " y[1] (analytic) = 1.5419535302806089 " " y[1] (numeric) = 1.3052643965486115 " " absolute error = 0.2366891337319974 " " relative error = 15.34995245212896 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.09599999999999 " " y[1] (analytic) = 1.5428426874045054 " " y[1] (numeric) = 1.3059016322012453 " " absolute error = 0.23694105520326003 " " relative error = 15.357434503051081 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.09699999999999 " " y[1] (analytic) = 1.5437323016856763 " " y[1] (numeric) = 1.306539757239656 " " absolute error = 0.23719254444602034 " " relative error = 15.36487538590844 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0979999999999899 " " y[1] (analytic) = 1.5446223722345074 " " y[1] (numeric) = 1.3071787721205557 " " absolute error = 0.2374436001139517 " " relative error = 15.372275086917012 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0989999999999898 " " y[1] (analytic) = 1.5455128981609283 " " y[1] (numeric) = 1.3078186772997673 " " absolute error = 0.237694220861161 " " relative error = 15.379633592447107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 1.0999999999999897 " " y[1] (analytic) = 1.5464038785744134 " " y[1] (numeric) = 1.308459473232223 " " absolute error = 0.2379444053421904 " " relative error = 15.386950889022907 "%" h = 1.000E-3 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 2 ) = sin(x);" Iterations = 1000 "Total Elapsed Time "= 11 Minutes 41 Seconds "Elapsed Time(since restart) "= 11 Minutes 41 Seconds "Expected Time Remaining "= 45 Minutes 32 Seconds "Optimized Time Remaining "= 45 Minutes 30 Seconds "Time to Timeout "= 3 Minutes 18 Seconds Percent Done = 20.42857142857121 "%" (%o52) true (%o52) diffeq.max