(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : array_x + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp1 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1 : array_x + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp1 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1 : array_x + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp1 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1 : array_x + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp1 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1 : array_x + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp1 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk array_x + array_const_0D0 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp1 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : array_x + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 1 then (temporary : array_tmp1 glob_h factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 2, 1 array_tmp1 : array_x + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 3 1 then (temporary : array_tmp1 glob_h factorial_3(1, 2), 2 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 2, 2 array_tmp1 : array_x + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 1 then (temporary : array_tmp1 glob_h factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 2, 3 array_tmp1 : array_x + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 5 1 then (temporary : array_tmp1 glob_h factorial_3(3, 4), 4 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 2, 4 array_tmp1 : array_x + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 1 then (temporary : array_tmp1 glob_h factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk array_x + array_const_0D0 , order_d : 1, kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp1 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) := - x + x log(x) + 2.0 (%o49) exact_soln_y(x) := - x + x log(x) + 2.0 (%i50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(min_in_hour, 60.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_hmin, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(days_in_year, 365.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10normmin, 0.1, 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/logpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = log ( x ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 20.0,"), omniout_str(ALWAYS, "x_end : 30.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 20,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 + x*log(x)-x"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_log, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 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_log : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), ord : 1, term while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_log, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_log : 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_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 20.0, x_end : 30.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 20, glob_h : 0.001, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : false, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h term_no -------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, term_no - 1 array_y_init glob_h it array_y_higher : --------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (omniout_str (INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = log ( 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, "2012-06-15T20:51:10-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "log"), logitem_str(html_log_file, "diff ( y , x , 1 ) = log ( 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, "log diffeq.max"), logitem_str(html_log_file, "log maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o50) mainprog() := (define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(min_in_hour, 60.0, float), define_variable(sec_in_min, 60.0, float), define_variable(glob_html_log, true, boolean), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_percent_done, 0.0, float), define_variable(glob_iter, 0, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_hmin, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_normmax, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(days_in_year, 365.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_warned, false, boolean), define_variable(glob_look_poles, false, boolean), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10normmin, 0.1, 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/logpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = log ( x ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 20.0,"), omniout_str(ALWAYS, "x_end : 30.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 20,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 + x*log(x)-x"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_1st_rel_error, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_log, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_x : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 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_log : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), ord : 1, term while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_log, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_log : 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_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 20.0, x_end : 30.0, 1 array_y_init : exact_soln_y(x_start), glob_h : 1.0E-5, 1 + 0 glob_look_poles : true, glob_max_iter : 20, glob_h : 0.001, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : false, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h term_no -------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, term_no - 1 array_y_init glob_h it array_y_higher : --------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (omniout_str (INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = log ( 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, "2012-06-15T20:51:10-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "log"), logitem_str(html_log_file, "diff ( y , x , 1 ) = log ( 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, "log diffeq.max"), logitem_str(html_log_file, "log maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i51) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/logpostode.ode#################" "diff ( y , x , 1 ) = log ( x ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 20.0," "x_end : 30.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_h : 0.00001 ," "glob_look_poles : true," "glob_max_iter : 20," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 + x*log(x)-x" ");" "" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 20. " " y[1] (analytic) = 41.914645471079815 " " y[1] (numeric) = 41.914645471079815 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.001 " " y[1] (analytic) = 41.91764122835296 " " y[1] (numeric) = 41.93464597107982 " " absolute error = 1.70047427268542600E-2 " " relative error = 4.056703151357740600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.002000000000002 " " y[1] (analytic) = 41.920637035623606 " " y[1] (numeric) = 41.95464747107982 " " absolute error = 3.401043545621007500E-2 " " relative error = 8.11305310730570600E-2 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.003000000000004 " " y[1] (analytic) = 41.923632892889245 " " y[1] (numeric) = 41.97464997107981 " " absolute error = 5.101707819056855000E-2 " " relative error = 0.12169049929645212 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.004000000000005 " " y[1] (analytic) = 41.92662880014739 " " y[1] (numeric) = 41.994653471079815 " " absolute error = 6.8024670932423700E-2 " " relative error = 0.16224693680161703 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.005000000000006 " " y[1] (analytic) = 41.92962475739553 " " y[1] (numeric) = 42.014657971079814 " " absolute error = 8.50332136842837400E-2 " " relative error = 0.2027998442062986 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.006000000000007 " " y[1] (analytic) = 41.93262076463118 " " y[1] (numeric) = 42.03466347107982 " " absolute error = 0.10204270644863556 " " relative error = 0.24334922212805096 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.00700000000001 " " y[1] (analytic) = 41.93561682185184 " " y[1] (numeric) = 42.05466997107982 " " absolute error = 0.11905314922798027 " " relative error = 0.2838950711843208 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.00800000000001 " " y[1] (analytic) = 41.93861292905499 " " y[1] (numeric) = 42.074677471079816 " " absolute error = 0.1360645420248261 " " relative error = 0.32443739199243005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.00900000000001 " " y[1] (analytic) = 41.94160908623816 " " y[1] (numeric) = 42.09468597107982 " " absolute error = 0.15307688484165993 " " relative error = 0.36497618516950836 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.010000000000012 " " y[1] (analytic) = 41.94460529339883 " " y[1] (numeric) = 42.11469547107982 " " absolute error = 0.17009017768099 " " relative error = 0.40551145133259486 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.011000000000013 " " y[1] (analytic) = 41.947601550534515 " " y[1] (numeric) = 42.13470597107982 " " absolute error = 0.18710442054530319 " " relative error = 0.4460431910985362 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.012000000000015 " " y[1] (analytic) = 41.95059785764273 " " y[1] (numeric) = 42.15471747107982 " " absolute error = 0.2041196134370935 " " relative error = 0.48657140508405455 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.013000000000016 " " y[1] (analytic) = 41.95359421472095 " " y[1] (numeric) = 42.17472997107982 " " absolute error = 0.22113575635886917 " " relative error = 0.5270960939057651 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.014000000000017 " " y[1] (analytic) = 41.95659062176670 " " y[1] (numeric) = 42.19474347107982 " " absolute error = 0.2381528493131242 " " relative error = 0.5676172581801074 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.01500000000002 " " y[1] (analytic) = 41.95958707877746 " " y[1] (numeric) = 42.21475797107982 " " absolute error = 0.2551708923023597 " " relative error = 0.608134898523397 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.01600000000002 " " y[1] (analytic) = 41.96258358575076 " " y[1] (numeric) = 42.23477347107982 " " absolute error = 0.2721898853290625 " " relative error = 0.6486490155517738 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.01700000000002 " " y[1] (analytic) = 41.96558014268409 " " y[1] (numeric) = 42.254789971079816 " " absolute error = 0.28920982839572673 " " relative error = 0.6891596098812541 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.018000000000022 " " y[1] (analytic) = 41.96857674957495 " " y[1] (numeric) = 42.27480747107982 " " absolute error = 0.30623072150486763 " " relative error = 0.7296666821277638 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.019000000000023 " " y[1] (analytic) = 41.971573406420845 " " y[1] (numeric) = 42.29482597107982 " " absolute error = 0.3232525646589721 " " relative error = 0.7701702329070196 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.020000000000024 " " y[1] (analytic) = 41.97457011321931 " " y[1] (numeric) = 42.31484547107981 " " absolute error = 0.3402753578605058 " " relative error = 0.810670262834546 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.021000000000026 " " y[1] (analytic) = 41.9775668699678 " " y[1] (numeric) = 42.334865971079815 " " absolute error = 0.35729910111201235 " " relative error = 0.8511667725259142 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.022000000000027 " " y[1] (analytic) = 41.98056367666386 " " y[1] (numeric) = 42.35488747107981 " " absolute error = 0.3743237944159503 " " relative error = 0.8916597625963495 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.023000000000028 " " y[1] (analytic) = 41.98356053330498 " " y[1] (numeric) = 42.374909971079816 " " absolute error = 0.391349437774835 " " relative error = 0.9321492336610728 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.02400000000003 " " y[1] (analytic) = 41.986557439888664 " " y[1] (numeric) = 42.39493347107982 " " absolute error = 0.4083760311911533 " " relative error = 0.9726351863350962 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.02500000000003 " " y[1] (analytic) = 41.9895543964124 " " y[1] (numeric) = 42.414957971079815 " " absolute error = 0.4254035746674134 " " relative error = 1.0131176212333417 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.02600000000003 " " y[1] (analytic) = 41.992551402873744 " " y[1] (numeric) = 42.43498347107982 " " absolute error = 0.44243206820607384 " " relative error = 1.0535965389704713 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.027000000000033 " " y[1] (analytic) = 41.995548459270154 " " y[1] (numeric) = 42.45500997107982 " " absolute error = 0.4594615118096641 " " relative error = 1.0940719401611767 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.028000000000034 " " y[1] (analytic) = 41.998545565599166 " " y[1] (numeric) = 42.475037471079816 " " absolute error = 0.4764919054806498 " " relative error = 1.1345438254198554 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.029000000000035 " " y[1] (analytic) = 42.00154272185827 " " y[1] (numeric) = 42.49506597107982 " " absolute error = 0.4935232492215462 " " relative error = 1.1750121953608834 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.030000000000037 " " y[1] (analytic) = 42.00453992804498 " " y[1] (numeric) = 42.51509547107982 " " absolute error = 0.5105555430348403 " " relative error = 1.2154770505984285 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.031000000000038 " " y[1] (analytic) = 42.0075371841568 " " y[1] (numeric) = 42.535125971079815 " " absolute error = 0.5275887869230118 " " relative error = 1.2559383917464997 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.03200000000004 " " y[1] (analytic) = 42.01053449019124 " " y[1] (numeric) = 42.555157471079816 " " absolute error = 0.5446229808885761 " " relative error = 1.296396219419052 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.03300000000004 " " y[1] (analytic) = 42.01353184614581 " " y[1] (numeric) = 42.575189971079816 " " absolute error = 0.5616581249340058 " " relative error = 1.336850534229796 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.03400000000004 " " y[1] (analytic) = 42.01652925201802 " " y[1] (numeric) = 42.59522347107981 " " absolute error = 0.578694219061795 " " relative error = 1.3773013367923548 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.035000000000043 " " y[1] (analytic) = 42.01952670780537 " " y[1] (numeric) = 42.615257971079814 " " absolute error = 0.5957312632744447 " " relative error = 1.4177486277202265 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.036000000000044 " " y[1] (analytic) = 42.02252421350537 " " y[1] (numeric) = 42.63529347107981 " " absolute error = 0.6127692575744419 " " relative error = 1.4581924076267356 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.037000000000045 " " y[1] (analytic) = 42.02552176911554 " " y[1] (numeric) = 42.655329971079816 " " absolute error = 0.6298082019642735 " " relative error = 1.4986326771250655 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.038000000000046 " " y[1] (analytic) = 42.02851937463337 " " y[1] (numeric) = 42.67536747107982 " " absolute error = 0.6468480964464476 " " relative error = 1.5390694368283115 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.039000000000048 " " y[1] (analytic) = 42.03151703005639 " " y[1] (numeric) = 42.695405971079815 " " absolute error = 0.6638889410234228 " " relative error = 1.579502687349308 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.04000000000005 " " y[1] (analytic) = 42.034514735382096 " " y[1] (numeric) = 42.71544547107982 " " absolute error = 0.6809307356977214 " " relative error = 1.6199324293009034 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.04100000000005 " " y[1] (analytic) = 42.03751249060801 " " y[1] (numeric) = 42.73548597107982 " " absolute error = 0.6979734804718092 " " relative error = 1.6603586632956693 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.04200000000005 " " y[1] (analytic) = 42.040510295731615 " " y[1] (numeric) = 42.755527471079816 " " absolute error = 0.7150171753482013 " " relative error = 1.7007813899461568 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.043000000000053 " " y[1] (analytic) = 42.043508150750455 " " y[1] (numeric) = 42.77556997107982 " " absolute error = 0.7320618203293634 " " relative error = 1.7412006098646562 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.044000000000054 " " y[1] (analytic) = 42.046506055662014 " " y[1] (numeric) = 42.79561347107982 " " absolute error = 0.7491074154178037 " " relative error = 1.781616323663422 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.045000000000055 " " y[1] (analytic) = 42.04950401046382 " " y[1] (numeric) = 42.815657971079816 " " absolute error = 0.7661539606159948 " " relative error = 1.8220285319544816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.046000000000056 " " y[1] (analytic) = 42.05250201515338 " " y[1] (numeric) = 42.83570347107982 " " absolute error = 0.783201455926438 " " relative error = 1.8624372353497916 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.047000000000057 " " y[1] (analytic) = 42.0555000697282 " " y[1] (numeric) = 42.85574997107982 " " absolute error = 0.80024990135162 " " relative error = 1.902842434461134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.04800000000006 " " y[1] (analytic) = 42.0584981741858 " " y[1] (numeric) = 42.875797471079814 " " absolute error = 0.8172992968940136 " " relative error = 1.9432441299001173 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.04900000000006 " " y[1] (analytic) = 42.06149632852369 " " y[1] (numeric) = 42.895845971079815 " " absolute error = 0.834349642556127 " " relative error = 1.9836423222782948 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.05000000000006 " " y[1] (analytic) = 42.064494532739374 " " y[1] (numeric) = 42.915895471079814 " " absolute error = 0.85140093834044 " " relative error = 2.024037012207012 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.051000000000062 " " y[1] (analytic) = 42.06749278683037 " " y[1] (numeric) = 42.93594597107982 " " absolute error = 0.8684531842494465 " " relative error = 2.0644282002975087 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.052000000000064 " " y[1] (analytic) = 42.07049109079419 " " y[1] (numeric) = 42.95599747107982 " " absolute error = 0.8855063802856264 " " relative error = 2.104815887160851 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.053000000000065 " " y[1] (analytic) = 42.073489444628365 " " y[1] (numeric) = 42.97604997107982 " " absolute error = 0.9025605264514525 " " relative error = 2.145200073407947 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.054000000000066 " " y[1] (analytic) = 42.076487848330366 " " y[1] (numeric) = 42.99610347107982 " " absolute error = 0.9196156227494541 " " relative error = 2.185580759649704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.055000000000067 " " y[1] (analytic) = 42.079486301897745 " " y[1] (numeric) = 43.01615797107982 " " absolute error = 0.9366716691820756 " " relative error = 2.2259579464966817 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.05600000000007 " " y[1] (analytic) = 42.08248480532799 " " y[1] (numeric) = 43.03621347107982 " " absolute error = 0.9537286657518322 " " relative error = 2.2663316345594744 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.05700000000007 " " y[1] (analytic) = 42.08548335861862 " " y[1] (numeric) = 43.05626997107982 " " absolute error = 0.9707866124612039 " " relative error = 2.3067018244484485 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.05800000000007 " " y[1] (analytic) = 42.08848196176718 " " y[1] (numeric) = 43.07632747107982 " " absolute error = 0.9878455093126419 " " relative error = 2.3470685167737635 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.059000000000072 " " y[1] (analytic) = 42.09148061477114 " " y[1] (numeric) = 43.09638597107982 " " absolute error = 1.0049053563086758 " " relative error = 2.387431712145628 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.060000000000073 " " y[1] (analytic) = 42.094479317628036 " " y[1] (numeric) = 43.11644547107982 " " absolute error = 1.0219661534517854 " " relative error = 2.427791411173991 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.061000000000075 " " y[1] (analytic) = 42.097478070335384 " " y[1] (numeric) = 43.13650597107982 " " absolute error = 1.0390279007444363 " " relative error = 2.468147614468627 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.062000000000076 " " y[1] (analytic) = 42.100476872890695 " " y[1] (numeric) = 43.15656747107982 " " absolute error = 1.0560905981891224 " " relative error = 2.5085003226392417 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.063000000000077 " " y[1] (analytic) = 42.10347572529149 " " y[1] (numeric) = 43.17662997107982 " " absolute error = 1.0731542457883307 " " relative error = 2.5488495362953816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.064000000000078 " " y[1] (analytic) = 42.10647462753527 " " y[1] (numeric) = 43.19669347107982 " " absolute error = 1.0902188435445481 " " relative error = 2.5891952560464566 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.06500000000008 " " y[1] (analytic) = 42.10947357961956 " " y[1] (numeric) = 43.216757971079815 " " absolute error = 1.1072843914602544 " " relative error = 2.629537482501718 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.06600000000008 " " y[1] (analytic) = 42.11247258154189 " " y[1] (numeric) = 43.236823471079816 " " absolute error = 1.1243508895379293 " " relative error = 2.669876216270279 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.067000000000082 " " y[1] (analytic) = 42.11547163329976 " " y[1] (numeric) = 43.256889971079815 " " absolute error = 1.1414183377800526 " " relative error = 2.7102114579611136 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.068000000000083 " " y[1] (analytic) = 42.11847073489067 " " y[1] (numeric) = 43.27695747107982 " " absolute error = 1.1584867361891469 " " relative error = 2.750543208183159 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.069000000000084 " " y[1] (analytic) = 42.121469886312184 " " y[1] (numeric) = 43.29702597107982 " " absolute error = 1.175556084767635 " " relative error = 2.7908714675449735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.070000000000086 " " y[1] (analytic) = 42.12446908756177 " " y[1] (numeric) = 43.31709547107982 " " absolute error = 1.1926263835180464 " " relative error = 2.8311962366552343 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.071000000000087 " " y[1] (analytic) = 42.12746833863697 " " y[1] (numeric) = 43.33716597107982 " " absolute error = 1.2096976324428468 " " relative error = 2.871517516122324 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.072000000000088 " " y[1] (analytic) = 42.130467639535304 " " y[1] (numeric) = 43.35723747107982 " " absolute error = 1.226769831544516 " " relative error = 2.9118353065545204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.07300000000009 " " y[1] (analytic) = 42.13346699025428 " " y[1] (numeric) = 43.37730997107982 " " absolute error = 1.2438429808255407 " " relative error = 2.9521496085599814 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.07400000000009 " " y[1] (analytic) = 42.13646639079142 " " y[1] (numeric) = 43.39738347107982 " " absolute error = 1.2609170802884009 " " relative error = 2.992460422746707 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.07500000000009 " " y[1] (analytic) = 42.13946584114424 " " y[1] (numeric) = 43.41745797107982 " " absolute error = 1.2779921299355763 " " relative error = 3.032767749722558 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.076000000000093 " " y[1] (analytic) = 42.14246534131027 " " y[1] (numeric) = 43.43753347107982 " " absolute error = 1.2950681297695468 " " relative error = 3.0730715900952585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.077000000000094 " " y[1] (analytic) = 42.145464891287006 " " y[1] (numeric) = 43.45760997107982 " " absolute error = 1.3121450797928134 " " relative error = 3.1133719444724437 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.078000000000095 " " y[1] (analytic) = 42.14846449107199 " " y[1] (numeric) = 43.47768747107982 " " absolute error = 1.3292229800078275 " " relative error = 3.15366881346149 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.079000000000097 " " y[1] (analytic) = 42.151464140662725 " " y[1] (numeric) = 43.497765971079815 " " absolute error = 1.3463018304170902 " " relative error = 3.1939621976697556 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.080000000000098 " " y[1] (analytic) = 42.15446384005674 " " y[1] (numeric) = 43.517845471079816 " " absolute error = 1.3633816310230742 " " relative error = 3.234252097704391 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.0810000000001 " " y[1] (analytic) = 42.15746358925155 " " y[1] (numeric) = 43.537925971079815 " " absolute error = 1.3804623818282664 " " relative error = 3.274538514172443 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.0820000000001 " " y[1] (analytic) = 42.160463388244686 " " y[1] (numeric) = 43.55800747107982 " " absolute error = 1.3975440828351324 " " relative error = 3.3148214476807674 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.0830000000001 " " y[1] (analytic) = 42.16346323703365 " " y[1] (numeric) = 43.57808997107982 " " absolute error = 1.4146267340461662 " " relative error = 3.355100898836151 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.084000000000103 " " y[1] (analytic) = 42.16646313561598 " " y[1] (numeric) = 43.59817347107982 " " absolute error = 1.4317103354638405 " " relative error = 3.3953768682451906 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.085000000000104 " " y[1] (analytic) = 42.169463083989186 " " y[1] (numeric) = 43.61825797107982 " " absolute error = 1.448794887090635 " " relative error = 3.43564935651436 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.086000000000105 " " y[1] (analytic) = 42.172463082150784 " " y[1] (numeric) = 43.63834347107982 " " absolute error = 1.4658803889290368 " " relative error = 3.4759183642500147 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.087000000000106 " " y[1] (analytic) = 42.175463130098294 " " y[1] (numeric) = 43.65842997107982 " " absolute error = 1.4829668409815255 " " relative error = 3.5161838920583524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.088000000000108 " " y[1] (analytic) = 42.17846322782926 " " y[1] (numeric) = 43.67851747107982 " " absolute error = 1.5000542432505597 " " relative error = 3.5564459405453803 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.08900000000011 " " y[1] (analytic) = 42.181463375341195 " " y[1] (numeric) = 43.69860597107982 " " absolute error = 1.5171425957386262 " " relative error = 3.596704510317038 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.09000000000011 " " y[1] (analytic) = 42.18446357263160 " " y[1] (numeric) = 43.71869547107982 " " absolute error = 1.534231898448212 " " relative error = 3.636959601979126 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.09100000000011 " " y[1] (analytic) = 42.187463819698024 " " y[1] (numeric) = 43.73878597107982 " " absolute error = 1.5513221513817967 " " relative error = 3.6772112161372896 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.092000000000112 " " y[1] (analytic) = 42.190464116537974 " " y[1] (numeric) = 43.75887747107982 " " absolute error = 1.5684133545418462 " " relative error = 3.717459353397001 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.093000000000114 " " y[1] (analytic) = 42.193464463148985 " " y[1] (numeric) = 43.77896997107982 " " absolute error = 1.585505507930833 " " relative error = 3.7577040143636107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.094000000000115 " " y[1] (analytic) = 42.19646485952856 " " y[1] (numeric) = 43.79906347107982 " " absolute error = 1.602598611551258 " " relative error = 3.797945199642402 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.095000000000116 " " y[1] (analytic) = 42.19946530567425 " " y[1] (numeric) = 43.81915797107982 " " absolute error = 1.619692665405566 " " relative error = 3.8381829098383804 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.096000000000117 " " y[1] (analytic) = 42.20246580158355 " " y[1] (numeric) = 43.83925347107982 " " absolute error = 1.6367876694962717 " " relative error = 3.8784171455565875 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.09700000000012 " " y[1] (analytic) = 42.205466347254 " " y[1] (numeric) = 43.85934997107982 " " absolute error = 1.6538836238258199 " " relative error = 3.9186479074017524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.09800000000012 " " y[1] (analytic) = 42.208466942683124 " " y[1] (numeric) = 43.87944747107982 " " absolute error = 1.6709805283966972 " " relative error = 3.958875195978572 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.09900000000012 " " y[1] (analytic) = 42.21146758786844 " " y[1] (numeric) = 43.899545971079824 " " absolute error = 1.6880783832113835 " " relative error = 3.999099011891585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.100000000000122 " " y[1] (analytic) = 42.214468282807466 " " y[1] (numeric) = 43.919645471079825 " " absolute error = 1.7051771882723585 " " relative error = 4.039319355745196 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.101000000000123 " " y[1] (analytic) = 42.217469027497756 " " y[1] (numeric) = 43.93974597107982 " " absolute error = 1.7222769435820666 " " relative error = 4.079536228143581 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.102000000000125 " " y[1] (analytic) = 42.220469821936796 " " y[1] (numeric) = 43.959847471079826 " " absolute error = 1.7393776491430302 " " relative error = 4.119749629690973 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.103000000000126 " " y[1] (analytic) = 42.22347066612214 " " y[1] (numeric) = 43.979949971079826 " " absolute error = 1.7564793049576863 " " relative error = 4.159959560991256 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.104000000000127 " " y[1] (analytic) = 42.226471560051294 " " y[1] (numeric) = 44.00005347107982 " " absolute error = 1.7735819110285291 " " relative error = 4.200166022648317 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.10500000000013 " " y[1] (analytic) = 42.22947250372181 " " y[1] (numeric) = 44.020157971079826 " " absolute error = 1.790685467358017 " " relative error = 4.240369015265816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.10600000000013 " " y[1] (analytic) = 42.23247349713118 " " y[1] (numeric) = 44.040263471079825 " " absolute error = 1.807789973948644 " " relative error = 4.280568539447366 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.10700000000013 " " y[1] (analytic) = 42.235474540276954 " " y[1] (numeric) = 44.06036997107982 " " absolute error = 1.8248954308028686 " " relative error = 4.320764595796352 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.108000000000132 " " y[1] (analytic) = 42.23847563315665 " " y[1] (numeric) = 44.080477471079824 " " absolute error = 1.8420018379231706 " " relative error = 4.360957184916074 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.109000000000133 " " y[1] (analytic) = 42.241476775767794 " " y[1] (numeric) = 44.10058597107982 " " absolute error = 1.8591091953120298 " " relative error = 4.401146307409700 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.110000000000134 " " y[1] (analytic) = 42.24447796810792 " " y[1] (numeric) = 44.12069547107982 " " absolute error = 1.8762175029718975 " " relative error = 4.44133196388018 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.111000000000136 " " y[1] (analytic) = 42.247479210174546 " " y[1] (numeric) = 44.14080597107982 " " absolute error = 1.8933267609052749 " " relative error = 4.4815141549304585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.112000000000137 " " y[1] (analytic) = 42.25048050196520 " " y[1] (numeric) = 44.16091747107982 " " absolute error = 1.9104369691146132 " " relative error = 4.521692881163216 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.113000000000138 " " y[1] (analytic) = 42.25348184347743 " " y[1] (numeric) = 44.18102997107982 " " absolute error = 1.9275481276023925 " " relative error = 4.561868143181066 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.11400000000014 " " y[1] (analytic) = 42.25648323470873 " " y[1] (numeric) = 44.201143471079824 " " absolute error = 1.9446602363710923 " " relative error = 4.602039941586485 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.11500000000014 " " y[1] (analytic) = 42.25948467565665 " " y[1] (numeric) = 44.22125797107982 " " absolute error = 1.9617732954231712 " " relative error = 4.642208276981760 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.11600000000014 " " y[1] (analytic) = 42.262486166318716 " " y[1] (numeric) = 44.241373471079825 " " absolute error = 1.978887304761109 " " relative error = 4.6823731499690915 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.117000000000143 " " y[1] (analytic) = 42.265487706692454 " " y[1] (numeric) = 44.261489971079826 " " absolute error = 1.9960022643873714 " " relative error = 4.7225345611505105 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.118000000000144 " " y[1] (analytic) = 42.26848929677539 " " y[1] (numeric) = 44.28160747107982 " " absolute error = 2.013118174304431 " " relative error = 4.762692511127927 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.119000000000145 " " y[1] (analytic) = 42.27149093656507 " " y[1] (numeric) = 44.301725971079826 " " absolute error = 2.030235034514753 " " relative error = 4.802847000503094 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.120000000000147 " " y[1] (analytic) = 42.27449262605900 " " y[1] (numeric) = 44.321845471079826 " " absolute error = 2.047352845020832 " " relative error = 4.842998029877704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.121000000000148 " " y[1] (analytic) = 42.27749436525471 " " y[1] (numeric) = 44.34196597107982 " " absolute error = 2.064471605825112 " " relative error = 4.883145599853181 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.12200000000015 " " y[1] (analytic) = 42.28049615414975 " " y[1] (numeric) = 44.362087471079825 " " absolute error = 2.081591316930073 " " relative error = 4.923289711030907 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.12300000000015 " " y[1] (analytic) = 42.28349799274163 " " y[1] (numeric) = 44.382209971079824 " " absolute error = 2.0987119783381942 " " relative error = 4.9634303640121225 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.12400000000015 " " y[1] (analytic) = 42.28649988102791 " " y[1] (numeric) = 44.40233347107982 " " absolute error = 2.1158335900519134 " " relative error = 5.003567559397828 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.125000000000153 " " y[1] (analytic) = 42.28950181900608 " " y[1] (numeric) = 44.42245797107982 " " absolute error = 2.1329561520737457 " " relative error = 5.043701297789080 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.126000000000154 " " y[1] (analytic) = 42.29250380667370 " " y[1] (numeric) = 44.44258347107982 " " absolute error = 2.150079664406128 " " relative error = 5.083831579786603 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.127000000000155 " " y[1] (analytic) = 42.295505844028284 " " y[1] (numeric) = 44.462709971079825 " " absolute error = 2.1672041270515408 " " relative error = 5.123958405991091 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.128000000000156 " " y[1] (analytic) = 42.29850793106738 " " y[1] (numeric) = 44.482837471079826 " " absolute error = 2.184329540012449 " " relative error = 5.16408177700307 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.129000000000158 " " y[1] (analytic) = 42.3015100677885 " " y[1] (numeric) = 44.502965971079824 " " absolute error = 2.2014559032913255 " " relative error = 5.2042016934229425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.13000000000016 " " y[1] (analytic) = 42.304512254189206 " " y[1] (numeric) = 44.52309547107983 " " absolute error = 2.2185832168906217 " " relative error = 5.2443181558509195 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.13100000000016 " " y[1] (analytic) = 42.307514490266996 " " y[1] (numeric) = 44.54322597107983 " " absolute error = 2.2357114808128316 " " relative error = 5.284431164887187 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.13200000000016 " " y[1] (analytic) = 42.31051677601942 " " y[1] (numeric) = 44.563357471079826 " " absolute error = 2.2528406950604065 " " relative error = 5.324540721131684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.133000000000163 " " y[1] (analytic) = 42.31351911144401 " " y[1] (numeric) = 44.58348997107983 " " absolute error = 2.2699708596358192 " " relative error = 5.364646825184267 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.134000000000164 " " y[1] (analytic) = 42.31652149653830 " " y[1] (numeric) = 44.60362347107983 " " absolute error = 2.2871019745415353 " " relative error = 5.40474947764464 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.135000000000165 " " y[1] (analytic) = 42.3195239312998 " " y[1] (numeric) = 44.623757971079826 " " absolute error = 2.3042340397800274 " " relative error = 5.444848679112386 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.136000000000166 " " y[1] (analytic) = 42.32252641572608 " " y[1] (numeric) = 44.64389347107983 " " absolute error = 2.321367055353747 " " relative error = 5.484944430186899 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.137000000000167 " " y[1] (analytic) = 42.325528949814654 " " y[1] (numeric) = 44.66402997107983 " " absolute error = 2.3385010212651736 " " relative error = 5.525036731467508 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.13800000000017 " " y[1] (analytic) = 42.328531533563066 " " y[1] (numeric) = 44.684167471079824 " " absolute error = 2.355635937516759 " " relative error = 5.565125583553335 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.13900000000017 " " y[1] (analytic) = 42.33153416696884 " " y[1] (numeric) = 44.704305971079826 " " absolute error = 2.3727718041109895 " " relative error = 5.605210987043451 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.14000000000017 " " y[1] (analytic) = 42.334536850029494 " " y[1] (numeric) = 44.724445471079825 " " absolute error = 2.3899086210503313 " " relative error = 5.6452929425367415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.141000000000172 " " y[1] (analytic) = 42.33753958274260 " " y[1] (numeric) = 44.74458597107983 " " absolute error = 2.4070463883372355 " " relative error = 5.685371450631920 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.142000000000174 " " y[1] (analytic) = 42.34054236510567 " " y[1] (numeric) = 44.76472747107983 " " absolute error = 2.4241851059741606 " " relative error = 5.7254465119275775 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.143000000000175 " " y[1] (analytic) = 42.34354519711623 " " y[1] (numeric) = 44.78486997107983 " " absolute error = 2.4413247739636006 " " relative error = 5.765518127022262 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.144000000000176 " " y[1] (analytic) = 42.34654807877184 " " y[1] (numeric) = 44.80501347107983 " " absolute error = 2.4584653923079927 " " relative error = 5.8055862965142415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.145000000000177 " " y[1] (analytic) = 42.34955101007003 " " y[1] (numeric) = 44.82515797107983 " " absolute error = 2.4756069610098024 " " relative error = 5.845651021001719 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.14600000000018 " " y[1] (analytic) = 42.352553991008314 " " y[1] (numeric) = 44.84530347107983 " " absolute error = 2.4927494800715166 " " relative error = 5.8857123010828145 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.14700000000018 " " y[1] (analytic) = 42.35555702158426 " " y[1] (numeric) = 44.86544997107983 " " absolute error = 2.5098929494955726 " " relative error = 5.925770137355387 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.14800000000018 " " y[1] (analytic) = 42.35856010179537 " " y[1] (numeric) = 44.885597471079834 " " absolute error = 2.5270373692844643 " " relative error = 5.9658245304173025 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.149000000000182 " " y[1] (analytic) = 42.36156323163921 " " y[1] (numeric) = 44.90574597107983 " " absolute error = 2.544182739440622 " " relative error = 6.005875480866131 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.150000000000183 " " y[1] (analytic) = 42.364566411113294 " " y[1] (numeric) = 44.92589547107983 " " absolute error = 2.561329059966539 " " relative error = 6.045922989299467 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.151000000000185 " " y[1] (analytic) = 42.36756964021518 " " y[1] (numeric) = 44.94604597107983 " " absolute error = 2.578476330864653 " " relative error = 6.085967056314627 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.152000000000186 " " y[1] (analytic) = 42.370572918942386 " " y[1] (numeric) = 44.96619747107983 " " absolute error = 2.595624552137444 " " relative error = 6.126007682508896 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.153000000000187 " " y[1] (analytic) = 42.37357624729246 " " y[1] (numeric) = 44.98634997107983 " " absolute error = 2.6127737237873703 " " relative error = 6.1660448684793705 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.154000000000188 " " y[1] (analytic) = 42.37657962526295 " " y[1] (numeric) = 45.00650347107983 " " absolute error = 2.629923845816883 " " relative error = 6.206078614822998 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.15500000000019 " " y[1] (analytic) = 42.37958305285137 " " y[1] (numeric) = 45.02665797107983 " " absolute error = 2.647074918228455 " " relative error = 6.246108922136635 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.15600000000019 " " y[1] (analytic) = 42.38258653005526 " " y[1] (numeric) = 45.04681347107983 " " absolute error = 2.664226941024566 " " relative error = 6.286135791017029 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.157000000000192 " " y[1] (analytic) = 42.38559005687219 " " y[1] (numeric) = 45.06696997107983 " " absolute error = 2.681379914207639 " " relative error = 6.326159222060643 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.158000000000193 " " y[1] (analytic) = 42.38859363329967 " " y[1] (numeric) = 45.08712747107983 " " absolute error = 2.698533837780161 " " relative error = 6.366179215863968 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.159000000000194 " " y[1] (analytic) = 42.39159725933524 " " y[1] (numeric) = 45.10728597107983 " " absolute error = 2.7156887117445905 " " relative error = 6.406195773023288 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.160000000000196 " " y[1] (analytic) = 42.39460093497645 " " y[1] (numeric) = 45.12744547107983 " " absolute error = 2.7328445361033786 " " relative error = 6.446208894134734 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.161000000000197 " " y[1] (analytic) = 42.397604660220836 " " y[1] (numeric) = 45.147605971079834 " " absolute error = 2.7500013108589982 " " relative error = 6.486218579794349 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.162000000000198 " " y[1] (analytic) = 42.40060843506593 " " y[1] (numeric) = 45.167767471079834 " " absolute error = 2.767159036013908 " " relative error = 6.526224830598013 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.1630000000002 " " y[1] (analytic) = 42.40361225950929 " " y[1] (numeric) = 45.18792997107983 " " absolute error = 2.7843177115705444 " " relative error = 6.566227647141414 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.1640000000002 " " y[1] (analytic) = 42.40661613354843 " " y[1] (numeric) = 45.208093471079835 " " absolute error = 2.801477337531402 " " relative error = 6.606227030020245 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.1650000000002 " " y[1] (analytic) = 42.409620057180916 " " y[1] (numeric) = 45.228257971079834 " " absolute error = 2.818637913898918 " " relative error = 6.646222979829924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.166000000000203 " " y[1] (analytic) = 42.412624030404274 " " y[1] (numeric) = 45.24842347107983 " " absolute error = 2.835799440675558 " " relative error = 6.686215497165803 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.167000000000204 " " y[1] (analytic) = 42.415628053216054 " " y[1] (numeric) = 45.268589971079834 " " absolute error = 2.85296191786378 " " relative error = 6.726204582623083 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.168000000000205 " " y[1] (analytic) = 42.418632125613776 " " y[1] (numeric) = 45.28875747107983 " " absolute error = 2.8701253454660574 " " relative error = 6.766190236796865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.169000000000207 " " y[1] (analytic) = 42.421636247595 " " y[1] (numeric) = 45.30892597107983 " " absolute error = 2.8872897234848267 " " relative error = 6.8061724602820215 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.170000000000208 " " y[1] (analytic) = 42.42464041915727 " " y[1] (numeric) = 45.32909547107983 " " absolute error = 2.904455051922561 " " relative error = 6.846151253673385 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.17100000000021 " " y[1] (analytic) = 42.427644640298126 " " y[1] (numeric) = 45.34926597107983 " " absolute error = 2.9216213307817043 " " relative error = 6.886126617565577 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.17200000000021 " " y[1] (analytic) = 42.4306489110151 " " y[1] (numeric) = 45.369437471079834 " " absolute error = 2.9387885600647365 " " relative error = 6.926098552553176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.17300000000021 " " y[1] (analytic) = 42.43365323130574 " " y[1] (numeric) = 45.389609971079835 " " absolute error = 2.955956739774095 " " relative error = 6.966067059230516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.174000000000213 " " y[1] (analytic) = 42.43665760116759 " " y[1] (numeric) = 45.409783471079834 " " absolute error = 2.973125869912245 " " relative error = 7.006032138191872 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.175000000000214 " " y[1] (analytic) = 42.43966202059819 " " y[1] (numeric) = 45.42995797107984 " " absolute error = 2.990295950481645 " " relative error = 7.045993790031358 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.176000000000215 " " y[1] (analytic) = 42.4426664895951 " " y[1] (numeric) = 45.45013347107984 " " absolute error = 3.0074669814847397 " " relative error = 7.085952015342924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.177000000000216 " " y[1] (analytic) = 42.44567100815583 " " y[1] (numeric) = 45.470309971079836 " " absolute error = 3.0246389629240085 " " relative error = 7.125906814720475 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.178000000000218 " " y[1] (analytic) = 42.44867557627794 " " y[1] (numeric) = 45.49048747107984 " " absolute error = 3.0418118948018957 " " relative error = 7.165858188757683 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.17900000000022 " " y[1] (analytic) = 42.45168019395899 " " y[1] (numeric) = 45.51066597107984 " " absolute error = 3.0589857771208457 " " relative error = 7.205806138048098 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.18000000000022 " " y[1] (analytic) = 42.4546848611965 " " y[1] (numeric) = 45.530845471079836 " " absolute error = 3.0761606098833383 " " relative error = 7.245750663185215 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.18100000000022 " " y[1] (analytic) = 42.457689577988035 " " y[1] (numeric) = 45.55102597107984 " " absolute error = 3.0933363930918034 " " relative error = 7.285691764762271 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.182000000000222 " " y[1] (analytic) = 42.46069434433111 " " y[1] (numeric) = 45.57120747107984 " " absolute error = 3.110513126748728 " " relative error = 7.325629443372515 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.183000000000224 " " y[1] (analytic) = 42.4636991602233 " " y[1] (numeric) = 45.591389971079835 " " absolute error = 3.127690810856535 " " relative error = 7.365563699608896 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.184000000000225 " " y[1] (analytic) = 42.46670402566214 " " y[1] (numeric) = 45.611573471079836 " " absolute error = 3.1448694454176973 " " relative error = 7.405494534064355 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.185000000000226 " " y[1] (analytic) = 42.46970894064516 " " y[1] (numeric) = 45.631757971079836 " " absolute error = 3.162049030434673 " " relative error = 7.445421947331664 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.186000000000227 " " y[1] (analytic) = 42.47271390516994 " " y[1] (numeric) = 45.65194347107984 " " absolute error = 3.1792295659098997 " " relative error = 7.4853459400034055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.18700000000023 " " y[1] (analytic) = 42.475718919233984 " " y[1] (numeric) = 45.67212997107984 " " absolute error = 3.196411051845857 " " relative error = 7.525266512672133 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.18800000000023 " " y[1] (analytic) = 42.47872398283488 " " y[1] (numeric) = 45.69231747107984 " " absolute error = 3.2135934882449604 " " relative error = 7.56518366593011 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.18900000000023 " " y[1] (analytic) = 42.48172909597014 " " y[1] (numeric) = 45.71250597107984 " " absolute error = 3.2307768751097043 " " relative error = 7.605097400369655 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.190000000000232 " " y[1] (analytic) = 42.484734258637324 " " y[1] (numeric) = 45.73269547107984 " " absolute error = 3.247961212442519 " " relative error = 7.645007716582797 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.191000000000233 " " y[1] (analytic) = 42.48773947083397 " " y[1] (numeric) = 45.75288597107984 " " absolute error = 3.2651465002458693 " " relative error = 7.684914615161519 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.192000000000235 " " y[1] (analytic) = 42.49074473255765 " " y[1] (numeric) = 45.773077471079844 " " absolute error = 3.282332738522193 " " relative error = 7.724818096697594 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.193000000000236 " " y[1] (analytic) = 42.49375004380589 " " y[1] (numeric) = 45.793269971079845 " " absolute error = 3.2995199272739555 " " relative error = 7.764718161782738 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.194000000000237 " " y[1] (analytic) = 42.49675540457623 " " y[1] (numeric) = 45.81346347107984 " " absolute error = 3.3167080665036153 " " relative error = 7.80461481100851 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.19500000000024 " " y[1] (analytic) = 42.499760814866235 " " y[1] (numeric) = 45.833657971079845 " " absolute error = 3.3338971562136095 " " relative error = 7.8445080449662825 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.19600000000024 " " y[1] (analytic) = 42.50276627467345 " " y[1] (numeric) = 45.853853471079844 " " absolute error = 3.3510871964063966 " " relative error = 7.884397864247351 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.19700000000024 " " y[1] (analytic) = 42.505771783995414 " " y[1] (numeric) = 45.87404997107984 " " absolute error = 3.368278187084428 " " relative error = 7.924284269442855 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.198000000000242 " " y[1] (analytic) = 42.50877734282969 " " y[1] (numeric) = 45.894247471079844 " " absolute error = 3.385470128250155 " " relative error = 7.9641672611438 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.199000000000243 " " y[1] (analytic) = 42.511782951173814 " " y[1] (numeric) = 45.91444597107984 " " absolute error = 3.4026630199060293 " " relative error = 8.004046839941058 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.200000000000244 " " y[1] (analytic) = 42.514788609025345 " " y[1] (numeric) = 45.93464547107984 " " absolute error = 3.4198568620544947 " " relative error = 8.043923006425352 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.201000000000246 " " y[1] (analytic) = 42.517794316381824 " " y[1] (numeric) = 45.95484597107984 " " absolute error = 3.437051654698017 " " relative error = 8.08379576118732 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.202000000000247 " " y[1] (analytic) = 42.52080007324080 " " y[1] (numeric) = 45.97504747107984 " " absolute error = 3.4542473978390333 " " relative error = 8.123665104817396 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.203000000000248 " " y[1] (analytic) = 42.523805879599834 " " y[1] (numeric) = 45.99524997107984 " " absolute error = 3.4714440914800093 " " relative error = 8.163531037905953 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.20400000000025 " " y[1] (analytic) = 42.52681173545646 " " y[1] (numeric) = 46.015453471079844 " " absolute error = 3.488641735623382 " " relative error = 8.20339356104316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.20500000000025 " " y[1] (analytic) = 42.52981764080823 " " y[1] (numeric) = 46.03565797107984 " " absolute error = 3.50584033027161 " " relative error = 8.2432526748191 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.20600000000025 " " y[1] (analytic) = 42.53282359565271 " " y[1] (numeric) = 46.055863471079846 " " absolute error = 3.5230398754271377 " " relative error = 8.283108379823691 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.207000000000253 " " y[1] (analytic) = 42.53582959998744 " " y[1] (numeric) = 46.076069971079846 " " absolute error = 3.540240371092409 " " relative error = 8.322960676646717 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.208000000000254 " " y[1] (analytic) = 42.53883565380996 " " y[1] (numeric) = 46.096277471079844 " " absolute error = 3.5574418172698827 " " relative error = 8.362809565877864 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.209000000000255 " " y[1] (analytic) = 42.54184175711784 " " y[1] (numeric) = 46.11648597107985 " " absolute error = 3.57464421396201 " " relative error = 8.402655048106663 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.210000000000257 " " y[1] (analytic) = 42.544847909908626 " " y[1] (numeric) = 46.13669547107985 " " absolute error = 3.591847561171221 " " relative error = 8.442497123922461 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.211000000000258 " " y[1] (analytic) = 42.54785411217986 " " y[1] (numeric) = 46.156905971079844 " " absolute error = 3.6090518588999814 " " relative error = 8.482335793914563 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.21200000000026 " " y[1] (analytic) = 42.55086036392911 " " y[1] (numeric) = 46.177117471079846 " " absolute error = 3.6262571071507352 " " relative error = 8.522171058672079 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.21300000000026 " " y[1] (analytic) = 42.55386666515392 " " y[1] (numeric) = 46.197329971079846 " " absolute error = 3.643463305925927 " " relative error = 8.562002918783993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.21400000000026 " " y[1] (analytic) = 42.556873015851835 " " y[1] (numeric) = 46.21754347107984 " " absolute error = 3.660670455228008 " " relative error = 8.601831374839172 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.215000000000263 " " y[1] (analytic) = 42.55987941602041 " " y[1] (numeric) = 46.237757971079844 " " absolute error = 3.6778785550594364 " " relative error = 8.64165642742636 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.216000000000264 " " y[1] (analytic) = 42.56288586565721 " " y[1] (numeric) = 46.25797347107984 " " absolute error = 3.6950876054226356 " " relative error = 8.681478077134093 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.217000000000265 " " y[1] (analytic) = 42.565892364759776 " " y[1] (numeric) = 46.27818997107985 " " absolute error = 3.712297606320071 " " relative error = 8.721296324550865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.218000000000266 " " y[1] (analytic) = 42.56889891332566 " " y[1] (numeric) = 46.29840747107985 " " absolute error = 3.729508557754187 " " relative error = 8.761111170264991 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.219000000000268 " " y[1] (analytic) = 42.571905511352426 " " y[1] (numeric) = 46.31862597107985 " " absolute error = 3.7467204597274204 " " relative error = 8.800922614864637 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.22000000000027 " " y[1] (analytic) = 42.57491215883763 " " y[1] (numeric) = 46.33884547107985 " " absolute error = 3.763933312242223 " " relative error = 8.840730658937865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.22100000000027 " " y[1] (analytic) = 42.577918855778805 " " y[1] (numeric) = 46.35906597107985 " " absolute error = 3.781147115301046 " " relative error = 8.88053530307261 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.22200000000027 " " y[1] (analytic) = 42.58092560217353 " " y[1] (numeric) = 46.37928747107985 " " absolute error = 3.798361868906319 " " relative error = 8.920336547856614 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.223000000000273 " " y[1] (analytic) = 42.58393239801934 " " y[1] (numeric) = 46.39950997107985 " " absolute error = 3.8155775730605086 " " relative error = 8.96013439387758 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.224000000000274 " " y[1] (analytic) = 42.58693924331380 " " y[1] (numeric) = 46.41973347107985 " " absolute error = 3.8327942277660583 " " relative error = 8.999928841723023 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.225000000000275 " " y[1] (analytic) = 42.58994613805446 " " y[1] (numeric) = 46.43995797107985 " " absolute error = 3.850011833025391 " " relative error = 9.039719891980269 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.226000000000276 " " y[1] (analytic) = 42.59295308223888 " " y[1] (numeric) = 46.46018347107985 " " absolute error = 3.867230388840973 " " relative error = 9.079507545236622 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.227000000000277 " " y[1] (analytic) = 42.59596007586461 " " y[1] (numeric) = 46.48040997107985 " " absolute error = 3.8844498952152406 " " relative error = 9.119291802079177 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.22800000000028 " " y[1] (analytic) = 42.59896711892922 " " y[1] (numeric) = 46.50063747107985 " " absolute error = 3.9016703521506315 " " relative error = 9.159072663094902 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.22900000000028 " " y[1] (analytic) = 42.60197421143023 " " y[1] (numeric) = 46.52086597107985 " " absolute error = 3.9188917596496182 " " relative error = 9.198850128870715 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.23000000000028 " " y[1] (analytic) = 42.604981353365254 " " y[1] (numeric) = 46.54109547107985 " " absolute error = 3.9361141177145953 " " relative error = 9.238624199993206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.231000000000282 " " y[1] (analytic) = 42.607988544731796 " " y[1] (numeric) = 46.56132597107985 " " absolute error = 3.9533374263480567 " " relative error = 9.278394877049086 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.232000000000284 " " y[1] (analytic) = 42.610995785527436 " " y[1] (numeric) = 46.581557471079854 " " absolute error = 3.9705616855524184 " " relative error = 9.318162160624736 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.233000000000285 " " y[1] (analytic) = 42.61400307574972 " " y[1] (numeric) = 46.60178997107985 " " absolute error = 3.9877868953301316 " " relative error = 9.357926051306489 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.234000000000286 " " y[1] (analytic) = 42.617010415396216 " " y[1] (numeric) = 46.62202347107986 " " absolute error = 4.005013055683640 " " relative error = 9.39768654968053 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.235000000000287 " " y[1] (analytic) = 42.62001780446448 " " y[1] (numeric) = 46.64225797107986 " " absolute error = 4.022240166615376 " " relative error = 9.437443656332876 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.23600000000029 " " y[1] (analytic) = 42.62302524295207 " " y[1] (numeric) = 46.662493471079856 " " absolute error = 4.039468228127788 " " relative error = 9.477197371849467 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.23700000000029 " " y[1] (analytic) = 42.62603273085654 " " y[1] (numeric) = 46.68272997107986 " " absolute error = 4.056697240223322 " " relative error = 9.516947696816086 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.23800000000029 " " y[1] (analytic) = 42.629040268175444 " " y[1] (numeric) = 46.70296747107986 " " absolute error = 4.0739272029044145 " " relative error = 9.55669463181837 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.239000000000292 " " y[1] (analytic) = 42.63204785490635 " " y[1] (numeric) = 46.72320597107986 " " absolute error = 4.09115811617351 " " relative error = 9.596438177441847 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.240000000000293 " " y[1] (analytic) = 42.635055491046806 " " y[1] (numeric) = 46.74344547107986 " " absolute error = 4.108389980033053 " " relative error = 9.636178334271897 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.241000000000295 " " y[1] (analytic) = 42.63806317659437 " " y[1] (numeric) = 46.76368597107986 " " absolute error = 4.125622794485487 " " relative error = 9.675915102893782 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.242000000000296 " " y[1] (analytic) = 42.64107091154662 " " y[1] (numeric) = 46.783927471079856 " " absolute error = 4.142856559533236 " " relative error = 9.715648483892572 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.243000000000297 " " y[1] (analytic) = 42.6440786959011 " " y[1] (numeric) = 46.80416997107986 " " absolute error = 4.1600912751787575 " " relative error = 9.755378477853293 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.244000000000298 " " y[1] (analytic) = 42.647086529655375 " " y[1] (numeric) = 46.82441347107986 " " absolute error = 4.177326941424482 " " relative error = 9.795105085360772 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.2450000000003 " " y[1] (analytic) = 42.65009441280701 " " y[1] (numeric) = 46.844657971079855 " " absolute error = 4.194563558272847 " " relative error = 9.834828306999714 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.2460000000003 " " y[1] (analytic) = 42.65310234535353 " " y[1] (numeric) = 46.864903471079856 " " absolute error = 4.211801125726325 " " relative error = 9.874548143354788 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.247000000000302 " " y[1] (analytic) = 42.65611032729254 " " y[1] (numeric) = 46.885149971079855 " " absolute error = 4.229039643787317 " " relative error = 9.914264595010348 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.248000000000303 " " y[1] (analytic) = 42.65911835862158 " " y[1] (numeric) = 46.90539747107986 " " absolute error = 4.246279112458275 " " relative error = 9.953977662550743 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.249000000000304 " " y[1] (analytic) = 42.66212643933822 " " y[1] (numeric) = 46.92564597107986 " " absolute error = 4.263519531741636 " " relative error = 9.993687346560149 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.250000000000306 " " y[1] (analytic) = 42.66513456944002 " " y[1] (numeric) = 46.94589547107986 " " absolute error = 4.280760901639837 " " relative error = 10.033393647622619 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.251000000000307 " " y[1] (analytic) = 42.668142748924524 " " y[1] (numeric) = 46.96614597107986 " " absolute error = 4.298003222155337 " " relative error = 10.073096566322121 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.252000000000308 " " y[1] (analytic) = 42.67115097778931 " " y[1] (numeric) = 46.98639747107986 " " absolute error = 4.315246493290552 " " relative error = 10.112796103242385 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.25300000000031 " " y[1] (analytic) = 42.67415925603194 " " y[1] (numeric) = 47.00664997107986 " " absolute error = 4.332490715047918 " " relative error = 10.15249225896706 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.25400000000031 " " y[1] (analytic) = 42.67716758364996 " " y[1] (numeric) = 47.02690347107986 " " absolute error = 4.349735887429901 " " relative error = 10.192185034079738 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.25500000000031 " " y[1] (analytic) = 42.68017596064095 " " y[1] (numeric) = 47.04715797107986 " " absolute error = 4.36698201043891 " " relative error = 10.231874429163739 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.256000000000313 " " y[1] (analytic) = 42.68318438700246 " " y[1] (numeric) = 47.06741347107986 " " absolute error = 4.384229084077397 " " relative error = 10.27156044480235 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.257000000000314 " " y[1] (analytic) = 42.68619286273207 " " y[1] (numeric) = 47.08766997107986 " " absolute error = 4.401477108347791 " " relative error = 10.311243081578676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.258000000000315 " " y[1] (analytic) = 42.689201387827325 " " y[1] (numeric) = 47.10792747107986 " " absolute error = 4.418726083252537 " " relative error = 10.35092234007573 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.259000000000317 " " y[1] (analytic) = 42.6922099622858 " " y[1] (numeric) = 47.12818597107986 " " absolute error = 4.435976008794057 " " relative error = 10.390598220876333 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.260000000000318 " " y[1] (analytic) = 42.69521858610504 " " y[1] (numeric) = 47.14844547107986 " " absolute error = 4.453226884974818 " " relative error = 10.430270724563288 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.26100000000032 " " y[1] (analytic) = 42.69822725928263 " " y[1] (numeric) = 47.16870597107986 " " absolute error = 4.470478711797227 " " relative error = 10.469939851719117 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.26200000000032 " " y[1] (analytic) = 42.701235981816126 " " y[1] (numeric) = 47.18896747107986 " " absolute error = 4.487731489263737 " " relative error = 10.50960560292632 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.26300000000032 " " y[1] (analytic) = 42.70424475370308 " " y[1] (numeric) = 47.209229971079864 " " absolute error = 4.504985217376785 " " relative error = 10.549267978767231 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.264000000000323 " " y[1] (analytic) = 42.707253574941085 " " y[1] (numeric) = 47.22949347107986 " " absolute error = 4.522239896138778 " " relative error = 10.588926979823981 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.265000000000324 " " y[1] (analytic) = 42.71026244552769 " " y[1] (numeric) = 47.249757971079866 " " absolute error = 4.5394955255521765 " " relative error = 10.628582606678691 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.266000000000325 " " y[1] (analytic) = 42.71327136546044 " " y[1] (numeric) = 47.27002347107987 " " absolute error = 4.556752105619424 " " relative error = 10.668234859913317 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.267000000000326 " " y[1] (analytic) = 42.716280334736936 " " y[1] (numeric) = 47.290289971079865 " " absolute error = 4.574009636342929 " " relative error = 10.707883740109596 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.268000000000328 " " y[1] (analytic) = 42.71928935335472 " " y[1] (numeric) = 47.31055747107987 " " absolute error = 4.59126811772515 " " relative error = 10.747529247849252 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.26900000000033 " " y[1] (analytic) = 42.72229842131135 " " y[1] (numeric) = 47.33082597107987 " " absolute error = 4.608527549768517 " " relative error = 10.787171383713817 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.27000000000033 " " y[1] (analytic) = 42.72530753860442 " " y[1] (numeric) = 47.351095471079866 " " absolute error = 4.625787932475447 " " relative error = 10.826810148284643 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.27100000000033 " " y[1] (analytic) = 42.72831670523148 " " y[1] (numeric) = 47.37136597107987 " " absolute error = 4.64304926584839 " " relative error = 10.86644554214305 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.272000000000332 " " y[1] (analytic) = 42.7313259211901 " " y[1] (numeric) = 47.39163747107987 " " absolute error = 4.660311549889770 " " relative error = 10.906077565870149 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.273000000000334 " " y[1] (analytic) = 42.734335186477836 " " y[1] (numeric) = 47.411909971079865 " " absolute error = 4.6775747846020295 " " relative error = 10.94570622004698 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.274000000000335 " " y[1] (analytic) = 42.73734450109226 " " y[1] (numeric) = 47.43218347107987 " " absolute error = 4.694838969987607 " " relative error = 10.985331505254425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.275000000000336 " " y[1] (analytic) = 42.740353865030954 " " y[1] (numeric) = 47.452457971079866 " " absolute error = 4.712104106048912 " " relative error = 11.02495342207317 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.276000000000337 " " y[1] (analytic) = 42.74336327829146 " " y[1] (numeric) = 47.47273347107987 " " absolute error = 4.729370192788409 " " relative error = 11.064571971083907 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.27700000000034 " " y[1] (analytic) = 42.746372740871365 " " y[1] (numeric) = 47.49300997107987 " " absolute error = 4.746637230208506 " " relative error = 11.104187152867063 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.27800000000034 " " y[1] (analytic) = 42.749382252768235 " " y[1] (numeric) = 47.51328747107987 " " absolute error = 4.763905218311635 " " relative error = 11.143798968002978 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.27900000000034 " " y[1] (analytic) = 42.75239181397963 " " y[1] (numeric) = 47.533565971079874 " " absolute error = 4.781174157100246 " " relative error = 11.183407417071919 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.280000000000342 " " y[1] (analytic) = 42.75540142450311 " " y[1] (numeric) = 47.553845471079875 " " absolute error = 4.798444046576762 " " relative error = 11.223012500653951 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.281000000000343 " " y[1] (analytic) = 42.758411084336274 " " y[1] (numeric) = 47.57412597107987 " " absolute error = 4.815714886743600 " " relative error = 11.262614219328988 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.282000000000345 " " y[1] (analytic) = 42.76142079347665 " " y[1] (numeric) = 47.594407471079876 " " absolute error = 4.832986677603223 " " relative error = 11.30221257367694 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.283000000000346 " " y[1] (analytic) = 42.76443055192185 " " y[1] (numeric) = 47.614689971079876 " " absolute error = 4.850259419158029 " " relative error = 11.341807564277403 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.284000000000347 " " y[1] (analytic) = 42.7674403596694 " " y[1] (numeric) = 47.634973471079874 " " absolute error = 4.867533111410474 " " relative error = 11.38139919171001 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.28500000000035 " " y[1] (analytic) = 42.77045021671691 " " y[1] (numeric) = 47.65525797107988 " " absolute error = 4.884807754362967 " " relative error = 11.42098745655413 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.28600000000035 " " y[1] (analytic) = 42.773460123061916 " " y[1] (numeric) = 47.67554347107988 " " absolute error = 4.90208334801796 " " relative error = 11.460572359389118 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.28700000000035 " " y[1] (analytic) = 42.77647007870202 " " y[1] (numeric) = 47.695829971079874 " " absolute error = 4.919359892377855 " " relative error = 11.500153900794063 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.288000000000352 " " y[1] (analytic) = 42.77948008363475 " " y[1] (numeric) = 47.716117471079876 " " absolute error = 4.936637387445124 " " relative error = 11.53973208134811 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.289000000000353 " " y[1] (analytic) = 42.78249013785772 " " y[1] (numeric) = 47.736405971079876 " " absolute error = 4.953915833222155 " " relative error = 11.57930690163005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.290000000000354 " " y[1] (analytic) = 42.785500241368474 " " y[1] (numeric) = 47.75669547107987 " " absolute error = 4.971195229711398 " " relative error = 11.618878362218716 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.291000000000356 " " y[1] (analytic) = 42.78851039416459 " " y[1] (numeric) = 47.776985971079874 " " absolute error = 4.988475576915285 " " relative error = 11.658446463692746 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.292000000000357 " " y[1] (analytic) = 42.79152059624364 " " y[1] (numeric) = 47.79727747107987 " " absolute error = 5.00575687483623 " " relative error = 11.698011206630618 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.293000000000358 " " y[1] (analytic) = 42.7945308476032 " " y[1] (numeric) = 47.81756997107988 " " absolute error = 5.0230391234766785 " " relative error = 11.737572591610745 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.29400000000036 " " y[1] (analytic) = 42.79754114824083 " " y[1] (numeric) = 47.83786347107988 " " absolute error = 5.040322322839046 " " relative error = 11.777130619211345 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.29500000000036 " " y[1] (analytic) = 42.80055149815410 " " y[1] (numeric) = 47.858157971079876 " " absolute error = 5.0576064729257695 " " relative error = 11.816685290010557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.29600000000036 " " y[1] (analytic) = 42.803561897340614 " " y[1] (numeric) = 47.87845347107988 " " absolute error = 5.074891573739265 " " relative error = 11.85623660458633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.297000000000363 " " y[1] (analytic) = 42.8065723457979 " " y[1] (numeric) = 47.89874997107988 " " absolute error = 5.092177625281977 " " relative error = 11.895784563516562 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.298000000000364 " " y[1] (analytic) = 42.80958284352356 " " y[1] (numeric) = 47.91904747107988 " " absolute error = 5.109464627556320 " " relative error = 11.935329167378947 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.299000000000365 " " y[1] (analytic) = 42.81259339051515 " " y[1] (numeric) = 47.93934597107988 " " absolute error = 5.126752580564734 " " relative error = 11.974870416751097 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.300000000000367 " " y[1] (analytic) = 42.81560398677026 " " y[1] (numeric) = 47.95964547107988 " " absolute error = 5.144041484309618 " " relative error = 12.014408312210408 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.301000000000368 " " y[1] (analytic) = 42.818614632286454 " " y[1] (numeric) = 47.97994597107988 " " absolute error = 5.161331338793424 " " relative error = 12.053942854334275 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.30200000000037 " " y[1] (analytic) = 42.8216253270613 " " y[1] (numeric) = 48.00024747107988 " " absolute error = 5.178622144018583 " " relative error = 12.093474043699906 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.30300000000037 " " y[1] (analytic) = 42.82463607109237 " " y[1] (numeric) = 48.02054997107988 " " absolute error = 5.195913899987510 " " relative error = 12.133001880884338 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.30400000000037 " " y[1] (analytic) = 42.82764686437725 " " y[1] (numeric) = 48.04085347107988 " " absolute error = 5.213206606702627 " " relative error = 12.172526366464501 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.305000000000373 " " y[1] (analytic) = 42.83065770691351 " " y[1] (numeric) = 48.06115797107988 " " absolute error = 5.230500264166366 " " relative error = 12.21204750101721 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.306000000000374 " " y[1] (analytic) = 42.83366859869872 " " y[1] (numeric) = 48.08146347107988 " " absolute error = 5.2477948723811565 " " relative error = 12.251565285119153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.307000000000375 " " y[1] (analytic) = 42.83667953973047 " " y[1] (numeric) = 48.10176997107988 " " absolute error = 5.265090431349414 " " relative error = 12.291079719346852 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.308000000000376 " " y[1] (analytic) = 42.839690530006315 " " y[1] (numeric) = 48.12207747107988 " " absolute error = 5.282386941073568 " " relative error = 12.330590804276731 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.309000000000378 " " y[1] (analytic) = 42.84270156952384 " " y[1] (numeric) = 48.14238597107988 " " absolute error = 5.299684401556043 " " relative error = 12.37009854048507 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.31000000000038 " " y[1] (analytic) = 42.84571265828062 " " y[1] (numeric) = 48.162695471079886 " " absolute error = 5.316982812799267 " " relative error = 12.409602928548034 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.31100000000038 " " y[1] (analytic) = 42.84872379627423 " " y[1] (numeric) = 48.183005971079886 " " absolute error = 5.334282174805658 " " relative error = 12.449103969041623 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.31200000000038 " " y[1] (analytic) = 42.85173498350223 " " y[1] (numeric) = 48.203317471079885 " " absolute error = 5.351582487577652 " " relative error = 12.488601662541766 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.313000000000383 " " y[1] (analytic) = 42.85474621996222 " " y[1] (numeric) = 48.22362997107989 " " absolute error = 5.368883751117664 " " relative error = 12.528096009624198 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.314000000000384 " " y[1] (analytic) = 42.857757505651776 " " y[1] (numeric) = 48.24394347107989 " " absolute error = 5.386185965428112 " " relative error = 12.567587010864534 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.315000000000385 " " y[1] (analytic) = 42.86076884056847 " " y[1] (numeric) = 48.264257971079886 " " absolute error = 5.403489130511417 " " relative error = 12.607074666838267 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.316000000000386 " " y[1] (analytic) = 42.863780224709856 " " y[1] (numeric) = 48.28457347107989 " " absolute error = 5.420793246370032 " " relative error = 12.646558978120845 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.317000000000387 " " y[1] (analytic) = 42.86679165807354 " " y[1] (numeric) = 48.30488997107989 " " absolute error = 5.43809831300635 " " relative error = 12.686039945287432 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.31800000000039 " " y[1] (analytic) = 42.86980314065709 " " y[1] (numeric) = 48.325207471079885 " " absolute error = 5.455404330422795 " " relative error = 12.725517568913139 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.31900000000039 " " y[1] (analytic) = 42.87281467245808 " " y[1] (numeric) = 48.34552597107989 " " absolute error = 5.47271129862181 " " relative error = 12.764991849572999 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.32000000000039 " " y[1] (analytic) = 42.875826253474095 " " y[1] (numeric) = 48.365845471079886 " " absolute error = 5.490019217605791 " " relative error = 12.804462787841791 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.321000000000392 " " y[1] (analytic) = 42.8788378837027 " " y[1] (numeric) = 48.38616597107988 " " absolute error = 5.507328087377182 " " relative error = 12.84393038429429 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.322000000000394 " " y[1] (analytic) = 42.881849563141486 " " y[1] (numeric) = 48.406487471079885 " " absolute error = 5.5246379079383985 " " relative error = 12.88339463950507 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.323000000000395 " " y[1] (analytic) = 42.88486129178803 " " y[1] (numeric) = 48.426809971079884 " " absolute error = 5.541948679291856 " " relative error = 12.922855554048574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.324000000000396 " " y[1] (analytic) = 42.88787306963991 " " y[1] (numeric) = 48.44713347107989 " " absolute error = 5.559260401439978 " " relative error = 12.962313128499135 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.325000000000397 " " y[1] (analytic) = 42.890884896694686 " " y[1] (numeric) = 48.46745797107989 " " absolute error = 5.576573074385202 " " relative error = 13.001767363430991 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.3260000000004 " " y[1] (analytic) = 42.893896772949965 " " y[1] (numeric) = 48.48778347107989 " " absolute error = 5.593886698129921 " " relative error = 13.041218259418144 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.3270000000004 " " y[1] (analytic) = 42.89690869840332 " " y[1] (numeric) = 48.50810997107989 " " absolute error = 5.611201272676567 " " relative error = 13.080665817034557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.3280000000004 " " y[1] (analytic) = 42.89992067305233 " " y[1] (numeric) = 48.52843747107989 " " absolute error = 5.628516798027562 " " relative error = 13.120110036854044 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.329000000000402 " " y[1] (analytic) = 42.90293269689457 " " y[1] (numeric) = 48.54876597107989 " " absolute error = 5.645833274185321 " " relative error = 13.159550919450274 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.330000000000403 " " y[1] (analytic) = 42.90594476992761 " " y[1] (numeric) = 48.56909547107989 " " absolute error = 5.663150701152283 " " relative error = 13.19898846539684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.331000000000405 " " y[1] (analytic) = 42.908956892149035 " " y[1] (numeric) = 48.58942597107989 " " absolute error = 5.680469078930855 " " relative error = 13.238422675267127 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.332000000000406 " " y[1] (analytic) = 42.91196906355645 " " y[1] (numeric) = 48.60975747107989 " " absolute error = 5.69778840752344 " " relative error = 13.277853549634386 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.333000000000407 " " y[1] (analytic) = 42.9149812841474 " " y[1] (numeric) = 48.63008997107989 " " absolute error = 5.7151086869324885 " " relative error = 13.317281089071857 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.334000000000408 " " y[1] (analytic) = 42.9179935539195 " " y[1] (numeric) = 48.65042347107989 " " absolute error = 5.732429917160388 " " relative error = 13.356705294152487 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.33500000000041 " " y[1] (analytic) = 42.921005872870325 " " y[1] (numeric) = 48.67075797107989 " " absolute error = 5.749752098209562 " " relative error = 13.396126165449184 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.33600000000041 " " y[1] (analytic) = 42.92401824099743 " " y[1] (numeric) = 48.69109347107989 " " absolute error = 5.767075230082462 " " relative error = 13.435543703534808 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.337000000000412 " " y[1] (analytic) = 42.92703065829842 " " y[1] (numeric) = 48.71142997107989 " " absolute error = 5.784399312781467 " " relative error = 13.474957908981898 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.338000000000413 " " y[1] (analytic) = 42.93004312477086 " " y[1] (numeric) = 48.73176747107989 " " absolute error = 5.80172434630903 " " relative error = 13.514368782363055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.339000000000414 " " y[1] (analytic) = 42.93305564041235 " " y[1] (numeric) = 48.75210597107989 " " absolute error = 5.819050330667544 " " relative error = 13.553776324250597 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.340000000000416 " " y[1] (analytic) = 42.93606820522047 " " y[1] (numeric) = 48.77244547107989 " " absolute error = 5.836377265859419 " " relative error = 13.593180535216755 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.341000000000417 " " y[1] (analytic) = 42.939080819192796 " " y[1] (numeric) = 48.792785971079894 " " absolute error = 5.853705151887098 " " relative error = 13.632581415833721 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.342000000000418 " " y[1] (analytic) = 42.94209348232691 " " y[1] (numeric) = 48.813127471079895 " " absolute error = 5.871033988752984 " " relative error = 13.671978966673448 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.34300000000042 " " y[1] (analytic) = 42.94510619462041 " " y[1] (numeric) = 48.83346997107990 " " absolute error = 5.888363776459485 " " relative error = 13.711373188307778 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.34400000000042 " " y[1] (analytic) = 42.94811895607085 " " y[1] (numeric) = 48.853813471079896 " " absolute error = 5.905694515009046 " " relative error = 13.75076408130852 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.34500000000042 " " y[1] (analytic) = 42.95113176667584 " " y[1] (numeric) = 48.874157971079896 " " absolute error = 5.923026204404053 " " relative error = 13.790151646247201 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.346000000000423 " " y[1] (analytic) = 42.954144626432964 " " y[1] (numeric) = 48.894503471079894 " " absolute error = 5.94035884464693 " " relative error = 13.829535883695316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.347000000000424 " " y[1] (analytic) = 42.95715753533979 " " y[1] (numeric) = 48.914849971079896 " " absolute error = 5.957692435740107 " " relative error = 13.868916794224248 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.348000000000425 " " y[1] (analytic) = 42.96017049339392 " " y[1] (numeric) = 48.935197471079896 " " absolute error = 5.975026977685978 " " relative error = 13.90829437840516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.349000000000427 " " y[1] (analytic) = 42.96318350059292 " " y[1] (numeric) = 48.95554597107989 " " absolute error = 5.992362470486974 " " relative error = 13.947668636809176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.350000000000428 " " y[1] (analytic) = 42.96619655693438 " " y[1] (numeric) = 48.975895471079895 " " absolute error = 6.009698914145517 " " relative error = 13.987039570007282 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.35100000000043 " " y[1] (analytic) = 42.96920966241589 " " y[1] (numeric) = 48.996245971079894 " " absolute error = 6.027036308664002 " " relative error = 14.026407178570246 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.35200000000043 " " y[1] (analytic) = 42.972222817035046 " " y[1] (numeric) = 49.0165974710799 " " absolute error = 6.0443746540448515 " " relative error = 14.06577146306879 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.35300000000043 " " y[1] (analytic) = 42.97523602078941 " " y[1] (numeric) = 49.0369499710799 " " absolute error = 6.061713950290489 " " relative error = 14.105132424073517 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.354000000000433 " " y[1] (analytic) = 42.97824927367659 " " y[1] (numeric) = 49.0573034710799 " " absolute error = 6.079054197403309 " " relative error = 14.144490062154814 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.355000000000434 " " y[1] (analytic) = 42.98126257569416 " " y[1] (numeric) = 49.0776579710799 " " absolute error = 6.096395395385741 " " relative error = 14.183844377883036 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.356000000000435 " " y[1] (analytic) = 42.9842759268397 " " y[1] (numeric) = 49.0980134710799 " " absolute error = 6.113737544240202 " " relative error = 14.223195371828373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.357000000000436 " " y[1] (analytic) = 42.9872893271108 " " y[1] (numeric) = 49.1183699710799 " " absolute error = 6.131080643969100 " " relative error = 14.262543044560873 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.358000000000438 " " y[1] (analytic) = 42.99030277650507 " " y[1] (numeric) = 49.1387274710799 " " absolute error = 6.148424694574835 " " relative error = 14.301887396650423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.35900000000044 " " y[1] (analytic) = 42.99331627502008 " " y[1] (numeric) = 49.159085971079904 " " absolute error = 6.165769696059826 " " relative error = 14.34122842866684 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.36000000000044 " " y[1] (analytic) = 42.9963298226534 " " y[1] (numeric) = 49.1794454710799 " " absolute error = 6.183115648426500 " " relative error = 14.38056614117983 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.36100000000044 " " y[1] (analytic) = 42.99934341940265 " " y[1] (numeric) = 49.199805971079904 " " absolute error = 6.200462551677255 " " relative error = 14.419900534758892 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.362000000000442 " " y[1] (analytic) = 43.00235706526538 " " y[1] (numeric) = 49.220167471079904 " " absolute error = 6.217810405814525 " " relative error = 14.459231609973502 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.363000000000444 " " y[1] (analytic) = 43.00537076023922 " " y[1] (numeric) = 49.2405299710799 " " absolute error = 6.235159210840685 " " relative error = 14.498559367392842 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.364000000000445 " " y[1] (analytic) = 43.008384504321725 " " y[1] (numeric) = 49.2608934710799 " " absolute error = 6.252508966758178 " " relative error = 14.537883807586148 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.365000000000446 " " y[1] (analytic) = 43.011398297510496 " " y[1] (numeric) = 49.2812579710799 " " absolute error = 6.269859673569407 " " relative error = 14.577204931122425 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.366000000000447 " " y[1] (analytic) = 43.014412139803134 " " y[1] (numeric) = 49.3016234710799 " " absolute error = 6.287211331276765 " " relative error = 14.616522738570525 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.36700000000045 " " y[1] (analytic) = 43.0174260311972 " " y[1] (numeric) = 49.3219899710799 " " absolute error = 6.304563939882698 " " relative error = 14.655837230499303 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.36800000000045 " " y[1] (analytic) = 43.020439971690315 " " y[1] (numeric) = 49.3423574710799 " " absolute error = 6.321917499389585 " " relative error = 14.695148407477319 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.36900000000045 " " y[1] (analytic) = 43.02345396128004 " " y[1] (numeric) = 49.362725971079904 " " absolute error = 6.339272009799863 " " relative error = 14.734456270073153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.370000000000452 " " y[1] (analytic) = 43.02646799996398 " " y[1] (numeric) = 49.383095471079905 " " absolute error = 6.356627471115928 " " relative error = 14.773760818855152 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.371000000000453 " " y[1] (analytic) = 43.02948208773971 " " y[1] (numeric) = 49.4034659710799 " " absolute error = 6.373983883340195 " " relative error = 14.813062054391585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.372000000000455 " " y[1] (analytic) = 43.03249622460485 " " y[1] (numeric) = 49.423837471079906 " " absolute error = 6.391341246475058 " " relative error = 14.852359977250535 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.373000000000456 " " y[1] (analytic) = 43.03551041055697 " " y[1] (numeric) = 49.44420997107990 " " absolute error = 6.40869956052294 " " relative error = 14.891654588000037 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.374000000000457 " " y[1] (analytic) = 43.038524645593654 " " y[1] (numeric) = 49.464583471079905 " " absolute error = 6.426058825486251 " " relative error = 14.930945887207963 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.37500000000046 " " y[1] (analytic) = 43.0415389297125 " " y[1] (numeric) = 49.48495797107991 " " absolute error = 6.443419041367406 " " relative error = 14.970233875442068 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.37600000000046 " " y[1] (analytic) = 43.044553262911116 " " y[1] (numeric) = 49.50533347107991 " " absolute error = 6.460780208168792 " " relative error = 15.00951855326991 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.37700000000046 " " y[1] (analytic) = 43.04756764518707 " " y[1] (numeric) = 49.525709971079905 " " absolute error = 6.478142325892833 " " relative error = 15.048799921259013 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.378000000000462 " " y[1] (analytic) = 43.05058207653795 " " y[1] (numeric) = 49.54608747107991 " " absolute error = 6.495505394541958 " " relative error = 15.088077979976793 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.379000000000463 " " y[1] (analytic) = 43.05359655696137 " " y[1] (numeric) = 49.56646597107991 " " absolute error = 6.512869414118540 " " relative error = 15.127352729990383 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.380000000000464 " " y[1] (analytic) = 43.056611086454915 " " y[1] (numeric) = 49.586845471079904 " " absolute error = 6.53023438462499 " " relative error = 15.166624171866891 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.381000000000466 " " y[1] (analytic) = 43.05962566501617 " " y[1] (numeric) = 49.607225971079906 " " absolute error = 6.547600306063735 " " relative error = 15.205892306173341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.382000000000467 " " y[1] (analytic) = 43.062640292642726 " " y[1] (numeric) = 49.627607471079905 " " absolute error = 6.564967178437179 " " relative error = 15.245157133476571 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.383000000000468 " " y[1] (analytic) = 43.065654969332186 " " y[1] (numeric) = 49.64798997107991 " " absolute error = 6.5823350017477225 " " relative error = 15.28441865434328 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.38400000000047 " " y[1] (analytic) = 43.06866969508214 " " y[1] (numeric) = 49.66837347107991 " " absolute error = 6.599703775997767 " " relative error = 15.323676869340042 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.38500000000047 " " y[1] (analytic) = 43.07168446989017 " " y[1] (numeric) = 49.68875797107991 " " absolute error = 6.617073501189736 " " relative error = 15.362931779033365 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.38600000000047 " " y[1] (analytic) = 43.07469929375388 " " y[1] (numeric) = 49.70914347107991 " " absolute error = 6.634444177326031 " " relative error = 15.402183383989566 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.387000000000473 " " y[1] (analytic) = 43.07771416667087 " " y[1] (numeric) = 49.72952997107991 " " absolute error = 6.65181580440904 " " relative error = 15.441431684774802 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.388000000000474 " " y[1] (analytic) = 43.08072908863872 " " y[1] (numeric) = 49.74991747107991 " " absolute error = 6.669188382441192 " " relative error = 15.480676681955217 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.389000000000475 " " y[1] (analytic) = 43.08374405965503 " " y[1] (numeric) = 49.770305971079914 " " absolute error = 6.6865619114248815 " " relative error = 15.519918376096724 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.390000000000477 " " y[1] (analytic) = 43.086759079717396 " " y[1] (numeric) = 49.790695471079914 " " absolute error = 6.703936391362518 " " relative error = 15.55915676776516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.391000000000478 " " y[1] (analytic) = 43.08977414882341 " " y[1] (numeric) = 49.81108597107991 " " absolute error = 6.721311822256503 " " relative error = 15.598391857526206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.39200000000048 " " y[1] (analytic) = 43.09278926697067 " " y[1] (numeric) = 49.831477471079914 " " absolute error = 6.738688204109245 " " relative error = 15.637623645945443 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.39300000000048 " " y[1] (analytic) = 43.09580443415676 " " y[1] (numeric) = 49.851869971079914 " " absolute error = 6.756065536923153 " " relative error = 15.676852133588318 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.39400000000048 " " y[1] (analytic) = 43.0988196503793 " " y[1] (numeric) = 49.87226347107991 " " absolute error = 6.773443820700614 " " relative error = 15.716077321020096 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.395000000000483 " " y[1] (analytic) = 43.10183491563585 " " y[1] (numeric) = 49.89265797107991 " " absolute error = 6.790823055444065 " " relative error = 15.75529920880605 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.396000000000484 " " y[1] (analytic) = 43.10485022992403 " " y[1] (numeric) = 49.91305347107991 " " absolute error = 6.80820324115588 " " relative error = 15.794517797511158 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.397000000000485 " " y[1] (analytic) = 43.10786559324144 " " y[1] (numeric) = 49.93344997107992 " " absolute error = 6.825584377838474 " " relative error = 15.833733087700372 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.398000000000486 " " y[1] (analytic) = 43.11088100558567 " " y[1] (numeric) = 49.95384747107992 " " absolute error = 6.84296646549425 " " relative error = 15.872945079938495 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.399000000000488 " " y[1] (analytic) = 43.1138964669543 " " y[1] (numeric) = 49.97424597107992 " " absolute error = 6.860349504125615 " " relative error = 15.912153774790218 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.40000000000049 " " y[1] (analytic) = 43.116911977344955 " " y[1] (numeric) = 49.99464547107992 " " absolute error = 6.877733493734965 " " relative error = 15.95135917282006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.40100000000049 " " y[1] (analytic) = 43.11992753675521 " " y[1] (numeric) = 50.01504597107992 " " absolute error = 6.895118434324708 " " relative error = 15.990561274592455 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.40200000000049 " " y[1] (analytic) = 43.122943145182674 " " y[1] (numeric) = 50.03544747107992 " " absolute error = 6.912504325897245 " " relative error = 16.0297600806717 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.403000000000493 " " y[1] (analytic) = 43.125958802624936 " " y[1] (numeric) = 50.05584997107992 " " absolute error = 6.929891168454986 " " relative error = 16.068955591621968 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.404000000000494 " " y[1] (analytic) = 43.128974509079605 " " y[1] (numeric) = 50.07625347107992 " " absolute error = 6.947278962000318 " " relative error = 16.108147808007267 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.405000000000495 " " y[1] (analytic) = 43.13199026454427 " " y[1] (numeric) = 50.09665797107992 " " absolute error = 6.96466770653565 " " relative error = 16.14733673039152 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.406000000000496 " " y[1] (analytic) = 43.13500606901653 " " y[1] (numeric) = 50.11706347107992 " " absolute error = 6.982057402063397 " " relative error = 16.18652235933854 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.407000000000497 " " y[1] (analytic) = 43.13802192249398 " " y[1] (numeric) = 50.13746997107992 " " absolute error = 6.999448048585947 " " relative error = 16.225704695411963 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.4080000000005 " " y[1] (analytic) = 43.141037824974234 " " y[1] (numeric) = 50.15787747107992 " " absolute error = 7.016839646105687 " " relative error = 16.26488373917527 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.4090000000005 " " y[1] (analytic) = 43.14405377645487 " " y[1] (numeric) = 50.17828597107992 " " absolute error = 7.034232194625055 " " relative error = 16.304059491191964 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.4100000000005 " " y[1] (analytic) = 43.1470697769335 " " y[1] (numeric) = 50.19869547107992 " " absolute error = 7.0516256941464235 " " relative error = 16.343231952025246 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.411000000000502 " " y[1] (analytic) = 43.15008582640772 " " y[1] (numeric) = 50.21910597107992 " " absolute error = 7.069020144672201 " " relative error = 16.382401122238285 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.412000000000504 " " y[1] (analytic) = 43.15310192487513 " " y[1] (numeric) = 50.23951747107992 " " absolute error = 7.08641554620479 " " relative error = 16.421567002394106 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.413000000000505 " " y[1] (analytic) = 43.15611807233333 " " y[1] (numeric) = 50.25992997107992 " " absolute error = 7.103811898746592 " " relative error = 16.460729593055607 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.414000000000506 " " y[1] (analytic) = 43.15913426877992 " " y[1] (numeric) = 50.280343471079924 " " absolute error = 7.121209202300001 " " relative error = 16.499888894785546 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.415000000000507 " " y[1] (analytic) = 43.1621505142125 " " y[1] (numeric) = 50.300757971079925 " " absolute error = 7.138607456867426 " " relative error = 16.539044908146582 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.41600000000051 " " y[1] (analytic) = 43.16516680862867 " " y[1] (numeric) = 50.32117347107992 " " absolute error = 7.156006662451254 " " relative error = 16.5781976337012 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.41700000000051 " " y[1] (analytic) = 43.16818315202603 " " y[1] (numeric) = 50.34158997107993 " " absolute error = 7.173406819053895 " " relative error = 16.617347072011814 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.41800000000051 " " y[1] (analytic) = 43.171199544402185 " " y[1] (numeric) = 50.36200747107993 " " absolute error = 7.190807926677742 " " relative error = 16.65649322364067 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.419000000000512 " " y[1] (analytic) = 43.17421598575473 " " y[1] (numeric) = 50.382425971079925 " " absolute error = 7.2082099853251975 " " relative error = 16.695636089149914 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.420000000000513 " " y[1] (analytic) = 43.17723247608128 " " y[1] (numeric) = 50.40284547107993 " " absolute error = 7.225612994998649 " " relative error = 16.734775669101516 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.421000000000515 " " y[1] (analytic) = 43.18024901537942 " " y[1] (numeric) = 50.42326597107993 " " absolute error = 7.2430169557005115 " " relative error = 16.773911964057415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.422000000000516 " " y[1] (analytic) = 43.18326560364675 " " y[1] (numeric) = 50.443687471079926 " " absolute error = 7.260421867433173 " " relative error = 16.813044974579327 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.423000000000517 " " y[1] (analytic) = 43.186282240880885 " " y[1] (numeric) = 50.46410997107993 " " absolute error = 7.277827730199043 " " relative error = 16.85217470122891 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.424000000000518 " " y[1] (analytic) = 43.189298927079435 " " y[1] (numeric) = 50.48453347107993 " " absolute error = 7.295234544000493 " " relative error = 16.891301144567606 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.42500000000052 " " y[1] (analytic) = 43.19231566223998 " " y[1] (numeric) = 50.504957971079925 " " absolute error = 7.312642308839948 " " relative error = 16.930424305156855 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.42600000000052 " " y[1] (analytic) = 43.195332446360126 " " y[1] (numeric) = 50.52538347107993 " " absolute error = 7.3300510247198005 " " relative error = 16.969544183557893 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.427000000000522 " " y[1] (analytic) = 43.198349279437494 " " y[1] (numeric) = 50.545809971079926 " " absolute error = 7.347460691642432 " " relative error = 17.008660780331805 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.428000000000523 " " y[1] (analytic) = 43.20136616146968 " " y[1] (numeric) = 50.56623747107993 " " absolute error = 7.364871309610251 " " relative error = 17.047774096039614 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.429000000000524 " " y[1] (analytic) = 43.20438309245428 " " y[1] (numeric) = 50.58666597107993 " " absolute error = 7.382282878625652 " " relative error = 17.086884131242186 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.430000000000526 " " y[1] (analytic) = 43.2074000723889 " " y[1] (numeric) = 50.60709547107993 " " absolute error = 7.39969539869103 " " relative error = 17.125990886500258 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.431000000000527 " " y[1] (analytic) = 43.21041710127115 " " y[1] (numeric) = 50.62752597107993 " " absolute error = 7.417108869808786 " " relative error = 17.165094362374468 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.432000000000528 " " y[1] (analytic) = 43.21343417909863 " " y[1] (numeric) = 50.647957471079934 " " absolute error = 7.434523291981307 " " relative error = 17.204194559425275 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.43300000000053 " " y[1] (analytic) = 43.21645130586893 " " y[1] (numeric) = 50.66838997107993 " " absolute error = 7.451938665211003 " " relative error = 17.24329147821308 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.43400000000053 " " y[1] (analytic) = 43.21946848157969 " " y[1] (numeric) = 50.688823471079935 " " absolute error = 7.469354989500246 " " relative error = 17.282385119298066 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.43500000000053 " " y[1] (analytic) = 43.22248570622848 " " y[1] (numeric) = 50.709257971079936 " " absolute error = 7.486772264851453 " " relative error = 17.321475483240402 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.436000000000533 " " y[1] (analytic) = 43.22550297981293 " " y[1] (numeric) = 50.72969347107993 " " absolute error = 7.504190491267003 " " relative error = 17.360562570600027 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.437000000000534 " " y[1] (analytic) = 43.22852030233062 " " y[1] (numeric) = 50.750129971079936 " " absolute error = 7.5216096687493135 " " relative error = 17.399646381936865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.438000000000535 " " y[1] (analytic) = 43.231537673779194 " " y[1] (numeric) = 50.770567471079936 " " absolute error = 7.539029797300742 " " relative error = 17.438726917810552 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.439000000000537 " " y[1] (analytic) = 43.23455509415622 " " y[1] (numeric) = 50.79100597107993 " " absolute error = 7.556450876923712 " " relative error = 17.477804178780776 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.440000000000538 " " y[1] (analytic) = 43.23757256345932 " " y[1] (numeric) = 50.811445471079935 " " absolute error = 7.573872907620618 " " relative error = 17.516878165407014 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.44100000000054 " " y[1] (analytic) = 43.24059008168610 " " y[1] (numeric) = 50.831885971079934 " " absolute error = 7.591295889393841 " " relative error = 17.55594887824859 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.44200000000054 " " y[1] (analytic) = 43.243607648834164 " " y[1] (numeric) = 50.85232747107994 " " absolute error = 7.608719822245774 " " relative error = 17.595016317864737 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.44300000000054 " " y[1] (analytic) = 43.24662526490113 " " y[1] (numeric) = 50.87276997107994 " " absolute error = 7.626144706178813 " " relative error = 17.63408048481456 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.444000000000543 " " y[1] (analytic) = 43.24964292988457 " " y[1] (numeric) = 50.89321347107994 " " absolute error = 7.643570541195366 " " relative error = 17.67314137965709 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.445000000000544 " " y[1] (analytic) = 43.252660643782136 " " y[1] (numeric) = 50.91365797107994 " " absolute error = 7.660997327297807 " " relative error = 17.712199002951113 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.446000000000545 " " y[1] (analytic) = 43.25567840659142 " " y[1] (numeric) = 50.93410347107994 " " absolute error = 7.678425064488522 " " relative error = 17.751253355255347 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.447000000000546 " " y[1] (analytic) = 43.25869621831002 " " y[1] (numeric) = 50.95454997107994 " " absolute error = 7.695853752769920 " " relative error = 17.79030443712844 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.448000000000548 " " y[1] (analytic) = 43.261714078935555 " " y[1] (numeric) = 50.974997471079945 " " absolute error = 7.71328339214439 " " relative error = 17.829352249128856 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.44900000000055 " " y[1] (analytic) = 43.26473198846563 " " y[1] (numeric) = 50.995445971079945 " " absolute error = 7.7307139826143185 " " relative error = 17.868396791814927 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.45000000000055 " " y[1] (analytic) = 43.26774994689784 " " y[1] (numeric) = 51.01589547107994 " " absolute error = 7.748145524182107 " " relative error = 17.907438065744913 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.45100000000055 " " y[1] (analytic) = 43.27076795422981 " " y[1] (numeric) = 51.036345971079946 " " absolute error = 7.765578016850135 " " relative error = 17.94647607147687 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.452000000000552 " " y[1] (analytic) = 43.27378601045915 " " y[1] (numeric) = 51.056797471079946 " " absolute error = 7.7830114606207985 " " relative error = 17.985510809568794 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.453000000000554 " " y[1] (analytic) = 43.27680411558346 " " y[1] (numeric) = 51.077249971079944 " " absolute error = 7.800445855496484 " " relative error = 18.024542280578515 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.454000000000555 " " y[1] (analytic) = 43.27982226960035 " " y[1] (numeric) = 51.097703471079946 " " absolute error = 7.817881201479594 " " relative error = 18.06357048506379 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.455000000000556 " " y[1] (analytic) = 43.28284047250743 " " y[1] (numeric) = 51.118157971079945 " " absolute error = 7.835317498572515 " " relative error = 18.1025954235822 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.456000000000557 " " y[1] (analytic) = 43.28585872430232 " " y[1] (numeric) = 51.13861347107994 " " absolute error = 7.85275474677762 " " relative error = 18.14161709669118 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.45700000000056 " " y[1] (analytic) = 43.288877024982625 " " y[1] (numeric) = 51.159069971079944 " " absolute error = 7.870192946097319 " " relative error = 18.180635504948118 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.45800000000056 " " y[1] (analytic) = 43.291895374545945 " " y[1] (numeric) = 51.17952747107994 " " absolute error = 7.8876320965339985 " " relative error = 18.219650648910232 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.45900000000056 " " y[1] (analytic) = 43.294913772989915 " " y[1] (numeric) = 51.19998597107995 " " absolute error = 7.905072198090032 " " relative error = 18.258662529134572 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.460000000000562 " " y[1] (analytic) = 43.29793222031211 " " y[1] (numeric) = 51.22044547107995 " " absolute error = 7.922513250767835 " " relative error = 18.297671146178182 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.461000000000563 " " y[1] (analytic) = 43.30095071651016 " " y[1] (numeric) = 51.24090597107995 " " absolute error = 7.939955254569789 " " relative error = 18.336676500597882 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.462000000000565 " " y[1] (analytic) = 43.30396926158169 " " y[1] (numeric) = 51.26136747107995 " " absolute error = 7.957398209498258 " " relative error = 18.37567859295033 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.463000000000566 " " y[1] (analytic) = 43.306987855524284 " " y[1] (numeric) = 51.28182997107995 " " absolute error = 7.974842115555667 " " relative error = 18.414677423792217 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.464000000000567 " " y[1] (analytic) = 43.310006498335575 " " y[1] (numeric) = 51.30229347107995 " " absolute error = 7.992286972744374 " " relative error = 18.45367299367993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.46500000000057 " " y[1] (analytic) = 43.313025190013164 " " y[1] (numeric) = 51.32275797107995 " " absolute error = 8.009732781066788 " " relative error = 18.492665303169865 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.46600000000057 " " y[1] (analytic) = 43.31604393055468 " " y[1] (numeric) = 51.34322347107995 " " absolute error = 8.027179540525275 " " relative error = 18.53165435281819 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.46700000000057 " " y[1] (analytic) = 43.319062719957714 " " y[1] (numeric) = 51.36368997107995 " " absolute error = 8.044627251122236 " " relative error = 18.570640143181034 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.468000000000572 " " y[1] (analytic) = 43.32208155821989 " " y[1] (numeric) = 51.38415747107995 " " absolute error = 8.06207591286006 " " relative error = 18.60962267481436 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.469000000000573 " " y[1] (analytic) = 43.325100445338805 " " y[1] (numeric) = 51.40462597107995 " " absolute error = 8.079525525741147 " " relative error = 18.648601948274063 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.470000000000574 " " y[1] (analytic) = 43.328119381312106 " " y[1] (numeric) = 51.42509547107995 " " absolute error = 8.096976089767843 " " relative error = 18.687577964115743 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.471000000000576 " " y[1] (analytic) = 43.33113836613737 " " y[1] (numeric) = 51.44556597107995 " " absolute error = 8.114427604942584 " " relative error = 18.726550722895126 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.472000000000577 " " y[1] (analytic) = 43.33415739981223 " " y[1] (numeric) = 51.46603747107995 " " absolute error = 8.131880071267723 " " relative error = 18.76552022516759 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.473000000000578 " " y[1] (analytic) = 43.3371764823343 " " y[1] (numeric) = 51.486509971079954 " " absolute error = 8.149333488745654 " " relative error = 18.804486471488513 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.47400000000058 " " y[1] (analytic) = 43.340195613701184 " " y[1] (numeric) = 51.506983471079955 " " absolute error = 8.166787857378772 " " relative error = 18.843449462413123 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.47500000000058 " " y[1] (analytic) = 43.343214793910505 " " y[1] (numeric) = 51.527457971079954 " " absolute error = 8.18424317716945 " " relative error = 18.882409198496493 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.47600000000058 " " y[1] (analytic) = 43.34623402295987 " " y[1] (numeric) = 51.54793347107996 " " absolute error = 8.201699448120088 " " relative error = 18.921365680293626 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.477000000000583 " " y[1] (analytic) = 43.34925330084691 " " y[1] (numeric) = 51.56840997107996 " " absolute error = 8.219156670233048 " " relative error = 18.960318908359305 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.478000000000584 " " y[1] (analytic) = 43.352272627569214 " " y[1] (numeric) = 51.58888747107996 " " absolute error = 8.236614843510743 " " relative error = 18.999268883248337 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.479000000000585 " " y[1] (analytic) = 43.35529200312443 " " y[1] (numeric) = 51.60936597107996 " " absolute error = 8.254073967955527 " " relative error = 19.03821560551522 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.480000000000587 " " y[1] (analytic) = 43.35831142751014 " " y[1] (numeric) = 51.62984547107996 " " absolute error = 8.271534043569822 " " relative error = 19.077159075714533 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.481000000000588 " " y[1] (analytic) = 43.361330900723985 " " y[1] (numeric) = 51.65032597107996 " " absolute error = 8.288995070355973 " " relative error = 19.116099294400524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.48200000000059 " " y[1] (analytic) = 43.364350422763565 " " y[1] (numeric) = 51.67080747107996 " " absolute error = 8.306457048316396 " " relative error = 19.15503626212749 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.48300000000059 " " y[1] (analytic) = 43.3673699936265 " " y[1] (numeric) = 51.69128997107996 " " absolute error = 8.323919977453464 " " relative error = 19.19396997944951 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.48400000000059 " " y[1] (analytic) = 43.370389613310415 " " y[1] (numeric) = 51.71177347107996 " " absolute error = 8.341383857769543 " " relative error = 19.232900446920507 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.485000000000593 " " y[1] (analytic) = 43.37340928181291 " " y[1] (numeric) = 51.73225797107996 " " absolute error = 8.358848689267049 " " relative error = 19.271827665094413 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.486000000000594 " " y[1] (analytic) = 43.376428999131626 " " y[1] (numeric) = 51.75274347107996 " " absolute error = 8.376314471948334 " " relative error = 19.31075163452488 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.487000000000595 " " y[1] (analytic) = 43.37944876526416 " " y[1] (numeric) = 51.773229971079964 " " absolute error = 8.393781205815806 " " relative error = 19.349672355765566 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.488000000000596 " " y[1] (analytic) = 43.382468580208126 " " y[1] (numeric) = 51.793717471079965 " " absolute error = 8.411248890871839 " " relative error = 19.38858982936993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.489000000000598 " " y[1] (analytic) = 43.385488443961165 " " y[1] (numeric) = 51.814205971079964 " " absolute error = 8.428717527118799 " " relative error = 19.427504055891283 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.4900000000006 " " y[1] (analytic) = 43.38850835652087 " " y[1] (numeric) = 51.83469547107997 " " absolute error = 8.446187114559095 " " relative error = 19.466415035882918 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.4910000000006 " " y[1] (analytic) = 43.39152831788488 " " y[1] (numeric) = 51.85518597107997 " " absolute error = 8.463657653195092 " " relative error = 19.505322769897898 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.4920000000006 " " y[1] (analytic) = 43.394548328050796 " " y[1] (numeric) = 51.87567747107997 " " absolute error = 8.481129143029172 " " relative error = 19.544227258489197 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.493000000000603 " " y[1] (analytic) = 43.39756838701625 " " y[1] (numeric) = 51.89616997107997 " " absolute error = 8.49860158406372 " " relative error = 19.58312850220969 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.494000000000604 " " y[1] (analytic) = 43.400588494778845 " " y[1] (numeric) = 51.91666347107997 " " absolute error = 8.516074976301127 " " relative error = 19.622026501612122 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.495000000000605 " " y[1] (analytic) = 43.403608651336214 " " y[1] (numeric) = 51.93715797107997 " " absolute error = 8.533549319743756 " " relative error = 19.660921257249065 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.496000000000606 " " y[1] (analytic) = 43.40662885668597 " " y[1] (numeric) = 51.95765347107997 " " absolute error = 8.551024614394002 " " relative error = 19.699812769673034 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.497000000000607 " " y[1] (analytic) = 43.40964911082574 " " y[1] (numeric) = 51.97814997107997 " " absolute error = 8.568500860254233 " " relative error = 19.73870103943635 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.49800000000061 " " y[1] (analytic) = 43.41266941375313 " " y[1] (numeric) = 51.99864747107997 " " absolute error = 8.585978057326841 " " relative error = 19.777586067091292 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.49900000000061 " " y[1] (analytic) = 43.41568976546577 " " y[1] (numeric) = 52.01914597107997 " " absolute error = 8.6034562056142 " " relative error = 19.816467853189945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.50000000000061 " " y[1] (analytic) = 43.41871016596128 " " y[1] (numeric) = 52.03964547107997 " " absolute error = 8.620935305118692 " " relative error = 19.8553463982843 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.501000000000612 " " y[1] (analytic) = 43.421730615237266 " " y[1] (numeric) = 52.06014597107997 " " absolute error = 8.638415355842703 " " relative error = 19.89422170292625 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.502000000000614 " " y[1] (analytic) = 43.42475111329138 " " y[1] (numeric) = 52.08064747107997 " " absolute error = 8.655896357788592 " " relative error = 19.933093767667465 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.503000000000615 " " y[1] (analytic) = 43.42777166012121 " " y[1] (numeric) = 52.10114997107997 " " absolute error = 8.67337831095876 " " relative error = 19.971962593059633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.504000000000616 " " y[1] (analytic) = 43.43079225572439 " " y[1] (numeric) = 52.12165347107997 " " absolute error = 8.690861215355582 " " relative error = 20.01082817965423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.505000000000617 " " y[1] (analytic) = 43.433812900098545 " " y[1] (numeric) = 52.142157971079975 " " absolute error = 8.70834507098143 " " relative error = 20.049690528002603 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.50600000000062 " " y[1] (analytic) = 43.436833593241296 " " y[1] (numeric) = 52.16266347107997 " " absolute error = 8.725829877838677 " " relative error = 20.08854963865599 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.50700000000062 " " y[1] (analytic) = 43.43985433515026 " " y[1] (numeric) = 52.18316997107998 " " absolute error = 8.743315635929719 " " relative error = 20.12740551216555 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.50800000000062 " " y[1] (analytic) = 43.44287512582306 " " y[1] (numeric) = 52.20367747107998 " " absolute error = 8.76080234525692 " " relative error = 20.166258149082257 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.509000000000622 " " y[1] (analytic) = 43.44589596525731 " " y[1] (numeric) = 52.224185971079976 " " absolute error = 8.778290005822669 " " relative error = 20.205107549957003 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.510000000000623 " " y[1] (analytic) = 43.448916853450655 " " y[1] (numeric) = 52.24469547107998 " " absolute error = 8.795778617629324 " " relative error = 20.243953715340492 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.511000000000625 " " y[1] (analytic) = 43.45193779040069 " " y[1] (numeric) = 52.26520597107998 " " absolute error = 8.813268180679287 " " relative error = 20.282796645783417 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.512000000000626 " " y[1] (analytic) = 43.45495877610507 " " y[1] (numeric) = 52.28571747107998 " " absolute error = 8.830758694974904 " " relative error = 20.321636341836193 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.513000000000627 " " y[1] (analytic) = 43.45797981056138 " " y[1] (numeric) = 52.30622997107998 " " absolute error = 8.848250160518596 " " relative error = 20.360472804049323 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.514000000000628 " " y[1] (analytic) = 43.461000893767284 " " y[1] (numeric) = 52.32674347107998 " " absolute error = 8.865742577312695 " " relative error = 20.399306032972945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.51500000000063 " " y[1] (analytic) = 43.46402202572038 " " y[1] (numeric) = 52.347257971079976 " " absolute error = 8.883235945359594 " " relative error = 20.438136029157235 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.51600000000063 " " y[1] (analytic) = 43.46704320641829 " " y[1] (numeric) = 52.36777347107998 " " absolute error = 8.90073026466169 " " relative error = 20.476962793152257 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.517000000000632 " " y[1] (analytic) = 43.470064435858646 " " y[1] (numeric) = 52.38828997107998 " " absolute error = 8.918225535221332 " " relative error = 20.515786325507833 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.518000000000633 " " y[1] (analytic) = 43.473085714039065 " " y[1] (numeric) = 52.40880747107998 " " absolute error = 8.935721757040916 " " relative error = 20.554606626773772 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.519000000000634 " " y[1] (analytic) = 43.4761070409572 " " y[1] (numeric) = 52.42932597107998 " " absolute error = 8.95321893012278 " " relative error = 20.593423697499617 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.520000000000636 " " y[1] (analytic) = 43.479128416610635 " " y[1] (numeric) = 52.44984547107998 " " absolute error = 8.970717054469347 " " relative error = 20.632237538235017 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.521000000000637 " " y[1] (analytic) = 43.48214984099701 " " y[1] (numeric) = 52.470365971079985 " " absolute error = 8.988216130082975 " " relative error = 20.671048149529312 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.522000000000638 " " y[1] (analytic) = 43.48517131411396 " " y[1] (numeric) = 52.490887471079986 " " absolute error = 9.005716156966024 " " relative error = 20.709855531931737 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.52300000000064 " " y[1] (analytic) = 43.48819283595911 " " y[1] (numeric) = 52.511409971079985 " " absolute error = 9.023217135120873 " " relative error = 20.74865968599146 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.52400000000064 " " y[1] (analytic) = 43.49121440653006 " " y[1] (numeric) = 52.53193347107999 " " absolute error = 9.040719064549926 " " relative error = 20.78746061225757 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.52500000000064 " " y[1] (analytic) = 43.49423602582448 " " y[1] (numeric) = 52.55245797107999 " " absolute error = 9.05822194525551 " " relative error = 20.826258311278853 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.526000000000643 " " y[1] (analytic) = 43.49725769383996 " " y[1] (numeric) = 52.572983471079986 " " absolute error = 9.075725777240024 " " relative error = 20.865052783604146 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.527000000000644 " " y[1] (analytic) = 43.50027941057415 " " y[1] (numeric) = 52.59350997107999 " " absolute error = 9.093230560505837 " " relative error = 20.903844029782103 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.528000000000645 " " y[1] (analytic) = 43.50330117602465 " " y[1] (numeric) = 52.61403747107999 " " absolute error = 9.11073629505534 " " relative error = 20.942632050361293 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.529000000000647 " " y[1] (analytic) = 43.50632299018912 " " y[1] (numeric) = 52.63456597107999 " " absolute error = 9.128242980890867 " " relative error = 20.98141684589003 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.530000000000648 " " y[1] (analytic) = 43.50934485306514 " " y[1] (numeric) = 52.65509547107999 " " absolute error = 9.145750618014851 " " relative error = 21.02019841691676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.53100000000065 " " y[1] (analytic) = 43.512366764650395 " " y[1] (numeric) = 52.67562597107999 " " absolute error = 9.163259206429593 " " relative error = 21.058976763989445 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.53200000000065 " " y[1] (analytic) = 43.51538872494247 " " y[1] (numeric) = 52.69615747107999 " " absolute error = 9.180768746137524 " " relative error = 21.097751887656294 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.53300000000065 " " y[1] (analytic) = 43.51841073393899 " " y[1] (numeric) = 52.716689971079994 " " absolute error = 9.198279237141001 " " relative error = 21.136523788465183 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.534000000000653 " " y[1] (analytic) = 43.52143279163763 " " y[1] (numeric) = 52.73722347108000 " " absolute error = 9.215790679442364 " " relative error = 21.175292466963818 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.535000000000654 " " y[1] (analytic) = 43.524454898035984 " " y[1] (numeric) = 52.75775797108 " " absolute error = 9.233303073044013 " " relative error = 21.21405792369995 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.536000000000655 " " y[1] (analytic) = 43.52747705313166 " " y[1] (numeric) = 52.77829347108 " " absolute error = 9.250816417948336 " " relative error = 21.252820159221173 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.537000000000656 " " y[1] (analytic) = 43.530499256922326 " " y[1] (numeric) = 52.798829971079996 " " absolute error = 9.26833071415767 " " relative error = 21.291579174074826 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.538000000000658 " " y[1] (analytic) = 43.53352150940561 " " y[1] (numeric) = 52.81936747108 " " absolute error = 9.28584596167439 " " relative error = 21.330334968808213 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.53900000000066 " " y[1] (analytic) = 43.536543810579104 " " y[1] (numeric) = 52.83990597108 " " absolute error = 9.303362160500896 " " relative error = 21.36908754396861 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.54000000000066 " " y[1] (analytic) = 43.53956616044046 " " y[1] (numeric) = 52.86044547108 " " absolute error = 9.32087931063954 " " relative error = 21.40783690010302 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.54100000000066 " " y[1] (analytic) = 43.542588558987305 " " y[1] (numeric) = 52.88098597108 " " absolute error = 9.338397412092696 " " relative error = 21.44658303775839 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.542000000000662 " " y[1] (analytic) = 43.54561100621729 " " y[1] (numeric) = 52.90152747108 " " absolute error = 9.355916464862709 " " relative error = 21.48532595748146 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.543000000000664 " " y[1] (analytic) = 43.54863350212801 " " y[1] (numeric) = 52.92206997108 " " absolute error = 9.373436468951986 " " relative error = 21.52406565981904 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.544000000000665 " " y[1] (analytic) = 43.55165604671713 " " y[1] (numeric) = 52.94261347108 " " absolute error = 9.390957424362874 " " relative error = 21.562802145317626 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.545000000000666 " " y[1] (analytic) = 43.55467863998226 " " y[1] (numeric) = 52.96315797108 " " absolute error = 9.408479331097745 " " relative error = 21.60153541452367 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.546000000000667 " " y[1] (analytic) = 43.55770128192102 " " y[1] (numeric) = 52.98370347108 " " absolute error = 9.426002189158979 " " relative error = 21.640265467983543 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.54700000000067 " " y[1] (analytic) = 43.560723972531065 " " y[1] (numeric) = 53.00424997108 " " absolute error = 9.443525998548935 " " relative error = 21.678992306243405 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.54800000000067 " " y[1] (analytic) = 43.56374671181 " " y[1] (numeric) = 53.02479747108 " " absolute error = 9.461050759270002 " " relative error = 21.717715929849394 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.54900000000067 " " y[1] (analytic) = 43.56676949975548 " " y[1] (numeric) = 53.04534597108 " " absolute error = 9.478576471324523 " " relative error = 21.756436339347403 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.550000000000672 " " y[1] (analytic) = 43.56979233636513 " " y[1] (numeric) = 53.065895471080005 " " absolute error = 9.496103134714872 " " relative error = 21.795153535283287 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.551000000000673 " " y[1] (analytic) = 43.5728152216366 " " y[1] (numeric) = 53.08644597108 " " absolute error = 9.5136307494434 " " relative error = 21.83386751820271 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.552000000000675 " " y[1] (analytic) = 43.57583815556748 " " y[1] (numeric) = 53.10699747108000 " " absolute error = 9.531159315512525 " " relative error = 21.8725782886514 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.553000000000676 " " y[1] (analytic) = 43.57886113815542 " " y[1] (numeric) = 53.12754997108001 " " absolute error = 9.54868883292459 " " relative error = 21.91128584717476 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.554000000000677 " " y[1] (analytic) = 43.58188416939807 " " y[1] (numeric) = 53.148103471080006 " " absolute error = 9.566219301681933 " " relative error = 21.94999019431806 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.55500000000068 " " y[1] (analytic) = 43.58490724929305 " " y[1] (numeric) = 53.16865797108001 " " absolute error = 9.583750721786956 " " relative error = 21.988691330626622 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.55600000000068 " " y[1] (analytic) = 43.58793037783799 " " y[1] (numeric) = 53.18921347108001 " " absolute error = 9.601283093242017 " " relative error = 22.027389256645524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.55700000000068 " " y[1] (analytic) = 43.590953555030524 " " y[1] (numeric) = 53.20976997108001 " " absolute error = 9.618816416049484 " " relative error = 22.066083972919753 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.558000000000682 " " y[1] (analytic) = 43.593976780868296 " " y[1] (numeric) = 53.23032747108001 " " absolute error = 9.636350690211714 " " relative error = 22.10477547999414 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.559000000000683 " " y[1] (analytic) = 43.59700005534893 " " y[1] (numeric) = 53.25088597108001 " " absolute error = 9.653885915731081 " " relative error = 22.143463778413448 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.560000000000684 " " y[1] (analytic) = 43.60002337847007 " " y[1] (numeric) = 53.27144547108000 " " absolute error = 9.671422092609937 " " relative error = 22.182148868722255 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.561000000000686 " " y[1] (analytic) = 43.60304675022931 " " y[1] (numeric) = 53.29200597108001 " " absolute error = 9.688959220850698 " " relative error = 22.22083075146519 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.562000000000687 " " y[1] (analytic) = 43.606070170624356 " " y[1] (numeric) = 53.31256747108001 " " absolute error = 9.706497300455652 " " relative error = 22.259509427186416 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.563000000000688 " " y[1] (analytic) = 43.609093639652784 " " y[1] (numeric) = 53.33312997108001 " " absolute error = 9.724036331427229 " " relative error = 22.29818489643036 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.56400000000069 " " y[1] (analytic) = 43.61211715731224 " " y[1] (numeric) = 53.353693471080014 " " absolute error = 9.741576313767773 " " relative error = 22.336857159741093 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.56500000000069 " " y[1] (analytic) = 43.615140723600376 " " y[1] (numeric) = 53.37425797108001 " " absolute error = 9.759117247479637 " " relative error = 22.375526217662593 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.56600000000069 " " y[1] (analytic) = 43.61816433851484 " " y[1] (numeric) = 53.39482347108002 " " absolute error = 9.776659132565179 " " relative error = 22.414192070738725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.567000000000693 " " y[1] (analytic) = 43.62118800205323 " " y[1] (numeric) = 53.41538997108002 " " absolute error = 9.794201969026787 " " relative error = 22.452854719513322 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.568000000000694 " " y[1] (analytic) = 43.62421171421319 " " y[1] (numeric) = 53.435957471080016 " " absolute error = 9.811745756866827 " " relative error = 22.491514164530027 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.569000000000695 " " y[1] (analytic) = 43.62723547499236 " " y[1] (numeric) = 53.45652597108002 " " absolute error = 9.829290496087658 " " relative error = 22.530170406332353 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.570000000000697 " " y[1] (analytic) = 43.630259284388394 " " y[1] (numeric) = 53.47709547108002 " " absolute error = 9.846836186691625 " " relative error = 22.568823445463643 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.571000000000698 " " y[1] (analytic) = 43.63328314239892 " " y[1] (numeric) = 53.49766597108002 " " absolute error = 9.864382828681094 " " relative error = 22.607473282467186 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.5720000000007 " " y[1] (analytic) = 43.63630704902155 " " y[1] (numeric) = 53.51823747108002 " " absolute error = 9.881930422058467 " " relative error = 22.64611991788624 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.5730000000007 " " y[1] (analytic) = 43.63933100425396 " " y[1] (numeric) = 53.53880997108002 " " absolute error = 9.89947896682606 " " relative error = 22.684763352263715 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.5740000000007 " " y[1] (analytic) = 43.642355008093766 " " y[1] (numeric) = 53.55938347108002 " " absolute error = 9.917028462986252 " " relative error = 22.723403586142574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.575000000000703 " " y[1] (analytic) = 43.6453790605386 " " y[1] (numeric) = 53.57995797108002 " " absolute error = 9.934578910541418 " " relative error = 22.762040620065637 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.576000000000704 " " y[1] (analytic) = 43.6484031615861 " " y[1] (numeric) = 53.60053347108002 " " absolute error = 9.952130309493917 " " relative error = 22.800674454575567 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.577000000000705 " " y[1] (analytic) = 43.65142731123393 " " y[1] (numeric) = 53.621109971080024 " " absolute error = 9.969682659846093 " " relative error = 22.839305090214864 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.578000000000706 " " y[1] (analytic) = 43.65445150947969 " " y[1] (numeric) = 53.641687471080026 " " absolute error = 9.987235961600334 " " relative error = 22.87793252752603 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.579000000000708 " " y[1] (analytic) = 43.65747575632106 " " y[1] (numeric) = 53.662265971080025 " " absolute error = 10.004790214758962 " " relative error = 22.916556767051272 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.58000000000071 " " y[1] (analytic) = 43.66050005175565 " " y[1] (numeric) = 53.68284547108003 " " absolute error = 10.022345419324381 " " relative error = 22.955177809332877 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.58100000000071 " " y[1] (analytic) = 43.663524395781096 " " y[1] (numeric) = 53.70342597108003 " " absolute error = 10.039901575298934 " " relative error = 22.99379565491287 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.58200000000071 " " y[1] (analytic) = 43.66654878839504 " " y[1] (numeric) = 53.72400747108003 " " absolute error = 10.057458682684988 " " relative error = 23.03241030433321 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.583000000000713 " " y[1] (analytic) = 43.66957322959513 " " y[1] (numeric) = 53.74458997108003 " " absolute error = 10.075016741484902 " " relative error = 23.071021758135714 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.584000000000714 " " y[1] (analytic) = 43.67259771937901 " " y[1] (numeric) = 53.76517347108003 " " absolute error = 10.09257575170102 " " relative error = 23.10963001686204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.585000000000715 " " y[1] (analytic) = 43.67562225774432 " " y[1] (numeric) = 53.78575797108003 " " absolute error = 10.110135713335708 " " relative error = 23.14823508105379 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.586000000000716 " " y[1] (analytic) = 43.67864684468868 " " y[1] (numeric) = 53.806343471080034 " " absolute error = 10.127696626391355 " " relative error = 23.18683695125249 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.587000000000717 " " y[1] (analytic) = 43.681671480209744 " " y[1] (numeric) = 53.826929971080034 " " absolute error = 10.14525849087029 " " relative error = 23.22543562799941 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.58800000000072 " " y[1] (analytic) = 43.68469616430515 " " y[1] (numeric) = 53.84751747108003 " " absolute error = 10.16282130677488 " " relative error = 23.264031111835774 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.58900000000072 " " y[1] (analytic) = 43.68772089697255 " " y[1] (numeric) = 53.868105971080034 " " absolute error = 10.180385074107484 " " relative error = 23.302623403302686 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.59000000000072 " " y[1] (analytic) = 43.69074567820956 " " y[1] (numeric) = 53.888695471080034 " " absolute error = 10.197949792870475 " " relative error = 23.34121250294116 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.591000000000722 " " y[1] (analytic) = 43.69377050801384 " " y[1] (numeric) = 53.90928597108003 " " absolute error = 10.21551546306619 " " relative error = 23.379798411291993 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.592000000000724 " " y[1] (analytic) = 43.69679538638303 " " y[1] (numeric) = 53.92987747108003 " " absolute error = 10.233082084697003 " " relative error = 23.418381128895955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.593000000000725 " " y[1] (analytic) = 43.699820313314774 " " y[1] (numeric) = 53.95046997108003 " " absolute error = 10.250649657765258 " " relative error = 23.45696065629363 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.594000000000726 " " y[1] (analytic) = 43.70284528880669 " " y[1] (numeric) = 53.971063471080036 " " absolute error = 10.268218182273344 " " relative error = 23.495536994025585 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.595000000000727 " " y[1] (analytic) = 43.705870312856476 " " y[1] (numeric) = 53.99165797108004 " " absolute error = 10.285787658223562 " " relative error = 23.53411014263204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.59600000000073 " " y[1] (analytic) = 43.7088953854617 " " y[1] (numeric) = 54.01225347108004 " " absolute error = 10.303358085618335 " " relative error = 23.572680102653436 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.59700000000073 " " y[1] (analytic) = 43.71192050662005 " " y[1] (numeric) = 54.03284997108004 " " absolute error = 10.320929464459994 " " relative error = 23.611246874629813 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.59800000000073 " " y[1] (analytic) = 43.71494567632917 " " y[1] (numeric) = 54.05344747108004 " " absolute error = 10.338501794750869 " " relative error = 23.64981045910112 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.599000000000732 " " y[1] (analytic) = 43.717970894586685 " " y[1] (numeric) = 54.07404597108004 " " absolute error = 10.356075076493354 " " relative error = 23.68837085660735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.600000000000733 " " y[1] (analytic) = 43.72099616139025 " " y[1] (numeric) = 54.09464547108004 " " absolute error = 10.373649309689796 " " relative error = 23.72692806768823 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.601000000000735 " " y[1] (analytic) = 43.724021476737505 " " y[1] (numeric) = 54.11524597108004 " " absolute error = 10.391224494342538 " " relative error = 23.76548209288339 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.602000000000736 " " y[1] (analytic) = 43.72704684062608 " " y[1] (numeric) = 54.13584747108004 " " absolute error = 10.40880063045396 " " relative error = 23.804032932732415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.603000000000737 " " y[1] (analytic) = 43.73007225305365 " " y[1] (numeric) = 54.15644997108004 " " absolute error = 10.426377718026394 " " relative error = 23.84258058777464 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.604000000000738 " " y[1] (analytic) = 43.73309771401783 " " y[1] (numeric) = 54.17705347108004 " " absolute error = 10.443955757062213 " " relative error = 23.881125058549415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.60500000000074 " " y[1] (analytic) = 43.73612322351627 " " y[1] (numeric) = 54.19765797108004 " " absolute error = 10.461534747563768 " " relative error = 23.919666345595882 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.60600000000074 " " y[1] (analytic) = 43.73914878154664 " " y[1] (numeric) = 54.21826347108004 " " absolute error = 10.479114689533404 " " relative error = 23.958204449453067 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.607000000000742 " " y[1] (analytic) = 43.74217438810655 " " y[1] (numeric) = 54.23886997108004 " " absolute error = 10.496695582973494 " " relative error = 23.99673937065994 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.608000000000743 " " y[1] (analytic) = 43.74520004319365 " " y[1] (numeric) = 54.25947747108005 " " absolute error = 10.514277427886398 " " relative error = 24.035271109755328 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.609000000000744 " " y[1] (analytic) = 43.7482257468056 " " y[1] (numeric) = 54.28008597108005 " " absolute error = 10.531860224274446 " " relative error = 24.073799667277843 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.610000000000746 " " y[1] (analytic) = 43.75125149894004 " " y[1] (numeric) = 54.30069547108005 " " absolute error = 10.549443972140004 " " relative error = 24.112325043766084 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.611000000000747 " " y[1] (analytic) = 43.75427729959465 " " y[1] (numeric) = 54.32130597108005 " " absolute error = 10.567028671485403 " " relative error = 24.150847239758427 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.612000000000748 " " y[1] (analytic) = 43.75730314876701 " " y[1] (numeric) = 54.34191747108005 " " absolute error = 10.584614322313044 " " relative error = 24.18936625579334 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.61300000000075 " " y[1] (analytic) = 43.760329046454785 " " y[1] (numeric) = 54.36252997108005 " " absolute error = 10.602200924625265 " " relative error = 24.227882092408983 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.61400000000075 " " y[1] (analytic) = 43.76335499265564 " " y[1] (numeric) = 54.383143471080054 " " absolute error = 10.619788478424411 " " relative error = 24.26639475014341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.61500000000075 " " y[1] (analytic) = 43.76638098736724 " " y[1] (numeric) = 54.403757971080054 " " absolute error = 10.637376983712812 " " relative error = 24.30490422953452 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.616000000000753 " " y[1] (analytic) = 43.76940703058719 " " y[1] (numeric) = 54.42437347108005 " " absolute error = 10.654966440492863 " " relative error = 24.34341053112028 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.617000000000754 " " y[1] (analytic) = 43.77243312231316 " " y[1] (numeric) = 54.444989971080055 " " absolute error = 10.672556848766895 " " relative error = 24.381913655438357 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.618000000000755 " " y[1] (analytic) = 43.7754592625428 " " y[1] (numeric) = 54.465607471080055 " " absolute error = 10.690148208537252 " " relative error = 24.42041360302633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.619000000000757 " " y[1] (analytic) = 43.77848545127374 " " y[1] (numeric) = 54.48622597108005 " " absolute error = 10.707740519806315 " " relative error = 24.458910374421762 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.620000000000758 " " y[1] (analytic) = 43.78151168850364 " " y[1] (numeric) = 54.506845471080055 " " absolute error = 10.725333782576413 " " relative error = 24.497403970161958 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.62100000000076 " " y[1] (analytic) = 43.78453797423013 " " y[1] (numeric) = 54.527465971080055 " " absolute error = 10.742927996849922 " " relative error = 24.53589439078423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.62200000000076 " " y[1] (analytic) = 43.78756430845089 " " y[1] (numeric) = 54.54808747108006 " " absolute error = 10.76052316262917 " " relative error = 24.57438163682563 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.62300000000076 " " y[1] (analytic) = 43.79059069116356 " " y[1] (numeric) = 54.56870997108006 " " absolute error = 10.778119279916503 " " relative error = 24.61286570882316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.624000000000763 " " y[1] (analytic) = 43.79361712236576 " " y[1] (numeric) = 54.58933347108006 " " absolute error = 10.7957163487143 " " relative error = 24.651346607313783 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.625000000000764 " " y[1] (analytic) = 43.79664360205517 " " y[1] (numeric) = 54.609957971080064 " " absolute error = 10.813314369024894 " " relative error = 24.68982433283421 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.626000000000765 " " y[1] (analytic) = 43.79967013022944 " " y[1] (numeric) = 54.630583471080065 " " absolute error = 10.830913340850628 " " relative error = 24.72829888592107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.627000000000766 " " y[1] (analytic) = 43.80269670688618 " " y[1] (numeric) = 54.651209971080064 " " absolute error = 10.848513264193883 " " relative error = 24.766770267110974 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.628000000000767 " " y[1] (analytic) = 43.80572333202308 " " y[1] (numeric) = 54.67183747108007 " " absolute error = 10.86611413905699 " " relative error = 24.80523847694027 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.62900000000077 " " y[1] (analytic) = 43.808750005637776 " " y[1] (numeric) = 54.69246597108007 " " absolute error = 10.883715965442292 " " relative error = 24.84370351594524 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.63000000000077 " " y[1] (analytic) = 43.811776727727924 " " y[1] (numeric) = 54.71309547108007 " " absolute error = 10.901318743352142 " " relative error = 24.882165384662052 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.63100000000077 " " y[1] (analytic) = 43.814803498291184 " " y[1] (numeric) = 54.73372597108007 " " absolute error = 10.918922472788886 " " relative error = 24.920624083626745 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.632000000000772 " " y[1] (analytic) = 43.81783031732516 " " y[1] (numeric) = 54.75435747108007 " " absolute error = 10.93652715375491 " " relative error = 24.959079613375355 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.633000000000774 " " y[1] (analytic) = 43.82085718482756 " " y[1] (numeric) = 54.77498997108007 " " absolute error = 10.954132786252508 " " relative error = 24.99753197444354 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.634000000000775 " " y[1] (analytic) = 43.823884100796 " " y[1] (numeric) = 54.79562347108007 " " absolute error = 10.97173937028407 " " relative error = 25.035981167367094 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.635000000000776 " " y[1] (analytic) = 43.826911065228146 " " y[1] (numeric) = 54.81625797108007 " " absolute error = 10.989346905851924 " " relative error = 25.074427192681547 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.636000000000777 " " y[1] (analytic) = 43.82993807812163 " " y[1] (numeric) = 54.83689347108007 " " absolute error = 11.006955392958439 " " relative error = 25.1128700509224 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.63700000000078 " " y[1] (analytic) = 43.832965139474126 " " y[1] (numeric) = 54.85752997108007 " " absolute error = 11.024564831605943 " " relative error = 25.151309742624928 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.63800000000078 " " y[1] (analytic) = 43.83599224928329 " " y[1] (numeric) = 54.87816747108007 " " absolute error = 11.042175221796782 " " relative error = 25.18974626832434 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.63900000000078 " " y[1] (analytic) = 43.83901940754674 " " y[1] (numeric) = 54.89880597108007 " " absolute error = 11.05978656353333 " " relative error = 25.228179628555797 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.640000000000782 " " y[1] (analytic) = 43.84204661426216 " " y[1] (numeric) = 54.919445471080074 " " absolute error = 11.077398856817915 " " relative error = 25.266609823854235 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.641000000000783 " " y[1] (analytic) = 43.84507386942718 " " y[1] (numeric) = 54.94008597108007 " " absolute error = 11.095012101652891 " " relative error = 25.30503685475452 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.642000000000785 " " y[1] (analytic) = 43.84810117303949 " " y[1] (numeric) = 54.96072747108008 " " absolute error = 11.112626298040588 " " relative error = 25.343460721791335 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.643000000000786 " " y[1] (analytic) = 43.85112852509671 " " y[1] (numeric) = 54.98136997108008 " " absolute error = 11.130241445983366 " " relative error = 25.38188142549934 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.644000000000787 " " y[1] (analytic) = 43.85415592559649 " " y[1] (numeric) = 55.002013471080076 " " absolute error = 11.147857545483589 " " relative error = 25.420298966413093 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.64500000000079 " " y[1] (analytic) = 43.85718337453649 " " y[1] (numeric) = 55.02265797108008 " " absolute error = 11.16547459654359 " " relative error = 25.458713345066915 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.64600000000079 " " y[1] (analytic) = 43.8602108719144 " " y[1] (numeric) = 55.04330347108008 " " absolute error = 11.183092599165683 " " relative error = 25.497124561994987 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.64700000000079 " " y[1] (analytic) = 43.863238417727814 " " y[1] (numeric) = 55.06394997108008 " " absolute error = 11.200711553352264 " " relative error = 25.5355326177316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.648000000000792 " " y[1] (analytic) = 43.86626601197442 " " y[1] (numeric) = 55.08459747108008 " " absolute error = 11.218331459105663 " " relative error = 25.57393751281072 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.649000000000793 " " y[1] (analytic) = 43.86929365465187 " " y[1] (numeric) = 55.10524597108008 " " absolute error = 11.235952316428211 " " relative error = 25.612339247766208 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.650000000000794 " " y[1] (analytic) = 43.872321345757804 " " y[1] (numeric) = 55.12589547108008 " " absolute error = 11.253574125322274 " " relative error = 25.65073782313192 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.651000000000796 " " y[1] (analytic) = 43.875349085289926 " " y[1] (numeric) = 55.14654597108008 " " absolute error = 11.271196885790154 " " relative error = 25.689133239441382 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.652000000000797 " " y[1] (analytic) = 43.87837687324581 " " y[1] (numeric) = 55.16719747108008 " " absolute error = 11.288820597834267 " " relative error = 25.727525497228356 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.653000000000798 " " y[1] (analytic) = 43.88140470962317 " " y[1] (numeric) = 55.187849971080084 " " absolute error = 11.306445261456915 " " relative error = 25.765914597026146 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.6540000000008 " " y[1] (analytic) = 43.88443259441964 " " y[1] (numeric) = 55.208503471080085 " " absolute error = 11.324070876660443 " " relative error = 25.804300539368068 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.6550000000008 " " y[1] (analytic) = 43.887460527632896 " " y[1] (numeric) = 55.229157971080085 " " absolute error = 11.341697443447188 " " relative error = 25.842683324787284 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.6560000000008 " " y[1] (analytic) = 43.890488509260564 " " y[1] (numeric) = 55.24981347108009 " " absolute error = 11.359324961819524 " " relative error = 25.881062953816958 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.657000000000803 " " y[1] (analytic) = 43.89351653930032 " " y[1] (numeric) = 55.27046997108009 " " absolute error = 11.376953431779768 " " relative error = 25.919439426989964 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.658000000000804 " " y[1] (analytic) = 43.896544617749846 " " y[1] (numeric) = 55.29112747108009 " " absolute error = 11.394582853330242 " " relative error = 25.957812744839078 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.659000000000805 " " y[1] (analytic) = 43.89957274460673 " " y[1] (numeric) = 55.31178597108009 " " absolute error = 11.412213226473362 " " relative error = 25.99618290789722 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.660000000000807 " " y[1] (analytic) = 43.902600919868675 " " y[1] (numeric) = 55.33244547108009 " " absolute error = 11.429844551211417 " " relative error = 26.034549916696843 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.661000000000808 " " y[1] (analytic) = 43.905629143533346 " " y[1] (numeric) = 55.35310597108009 " " absolute error = 11.447476827546744 " " relative error = 26.0729137717704 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.66200000000081 " " y[1] (analytic) = 43.90865741559836 " " y[1] (numeric) = 55.37376747108010 " " absolute error = 11.46511005548173 " " relative error = 26.11127447365038 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.66300000000081 " " y[1] (analytic) = 43.911685736061415 " " y[1] (numeric) = 55.39442997108010 " " absolute error = 11.482744235018679 " " relative error = 26.149632022868918 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.66400000000081 " " y[1] (analytic) = 43.91471410492015 " " y[1] (numeric) = 55.41509347108009 " " absolute error = 11.50037936615994 " " relative error = 26.187986419958165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.665000000000813 " " y[1] (analytic) = 43.91774252217223 " " y[1] (numeric) = 55.43575797108010 " " absolute error = 11.51801544890786 " " relative error = 26.22633766545012 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.666000000000814 " " y[1] (analytic) = 43.92077098781531 " " y[1] (numeric) = 55.45642347108010 " " absolute error = 11.535652483264784 " " relative error = 26.2646857598767 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.667000000000815 " " y[1] (analytic) = 43.92379950184706 " " y[1] (numeric) = 55.4770899710801 " " absolute error = 11.55329046923304 " " relative error = 26.303030703769625 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.668000000000816 " " y[1] (analytic) = 43.92682806426511 " " y[1] (numeric) = 55.4977574710801 " " absolute error = 11.57092940681499 " " relative error = 26.341372497660604 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.669000000000818 " " y[1] (analytic) = 43.929856675067114 " " y[1] (numeric) = 55.5184259710801 " " absolute error = 11.588569296012984 " " relative error = 26.379711142081206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.67000000000082 " " y[1] (analytic) = 43.93288533425078 " " y[1] (numeric) = 55.5390954710801 " " absolute error = 11.606210136829326 " " relative error = 26.418046637562725 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.67100000000082 " " y[1] (analytic) = 43.93591404181373 " " y[1] (numeric) = 55.559765971080104 " " absolute error = 11.623851929266372 " " relative error = 26.45637898463652 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.67200000000082 " " y[1] (analytic) = 43.93894279775364 " " y[1] (numeric) = 55.5804374710801 " " absolute error = 11.641494673326463 " " relative error = 26.494708183833747 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.673000000000822 " " y[1] (analytic) = 43.941971602068165 " " y[1] (numeric) = 55.601109971080106 " " absolute error = 11.659138369011941 " " relative error = 26.533034235685488 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.674000000000824 " " y[1] (analytic) = 43.945000454754954 " " y[1] (numeric) = 55.62178347108011 " " absolute error = 11.676783016325153 " " relative error = 26.5713571407227 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.675000000000825 " " y[1] (analytic) = 43.948029355811684 " " y[1] (numeric) = 55.642457971080105 " " absolute error = 11.694428615268421 " " relative error = 26.609676899476156 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.676000000000826 " " y[1] (analytic) = 43.951058305236 " " y[1] (numeric) = 55.66313347108011 " " absolute error = 11.712075165844105 " " relative error = 26.647993512476617 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.677000000000827 " " y[1] (analytic) = 43.954087303025574 " " y[1] (numeric) = 55.68380997108011 " " absolute error = 11.729722668054535 " " relative error = 26.686306980254646 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.67800000000083 " " y[1] (analytic) = 43.95711634917807 " " y[1] (numeric) = 55.70448747108010 " " absolute error = 11.747371121902034 " " relative error = 26.724617303340676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.67900000000083 " " y[1] (analytic) = 43.96014544369115 " " y[1] (numeric) = 55.72516597108011 " " absolute error = 11.765020527388963 " " relative error = 26.7629244822651 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.68000000000083 " " y[1] (analytic) = 43.963174586562445 " " y[1] (numeric) = 55.74584547108011 " " absolute error = 11.782670884517664 " " relative error = 26.801228517558176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.681000000000832 " " y[1] (analytic) = 43.966203777789644 " " y[1] (numeric) = 55.76652597108010 " " absolute error = 11.800322193290462 " " relative error = 26.83952940974999 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.682000000000833 " " y[1] (analytic) = 43.96923301737042 " " y[1] (numeric) = 55.78720747108011 " " absolute error = 11.817974453709688 " " relative error = 26.877827159370497 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.683000000000835 " " y[1] (analytic) = 43.97226230530241 " " y[1] (numeric) = 55.80788997108011 " " absolute error = 11.8356276657777 " " relative error = 26.916121766949654 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.684000000000836 " " y[1] (analytic) = 43.97529164158327 " " y[1] (numeric) = 55.82857347108011 " " absolute error = 11.853281829496844 " " relative error = 26.954413233017238 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.685000000000837 " " y[1] (analytic) = 43.97832102621068 " " y[1] (numeric) = 55.849257971080114 " " absolute error = 11.870936944869435 " " relative error = 26.99270155810283 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.68600000000084 " " y[1] (analytic) = 43.98135045918233 " " y[1] (numeric) = 55.86994347108011 " " absolute error = 11.888593011897783 " " relative error = 27.030986742735884 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.68700000000084 " " y[1] (analytic) = 43.98437994049584 " " y[1] (numeric) = 55.890629971080116 " " absolute error = 11.906250030584275 " " relative error = 27.06926878744594 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.68800000000084 " " y[1] (analytic) = 43.987409470148876 " " y[1] (numeric) = 55.91131747108012 " " absolute error = 11.923908000931242 " " relative error = 27.10754769276229 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.689000000000842 " " y[1] (analytic) = 43.99043904813912 " " y[1] (numeric) = 55.932005971080116 " " absolute error = 11.941566922940993 " " relative error = 27.145823459214014 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.690000000000843 " " y[1] (analytic) = 43.99346867446423 " " y[1] (numeric) = 55.95269547108012 " " absolute error = 11.959226796615887 " " relative error = 27.184096087330243 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.691000000000844 " " y[1] (analytic) = 43.996498349121865 " " y[1] (numeric) = 55.97338597108012 " " absolute error = 11.976887621958255 " " relative error = 27.222365577639895 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.692000000000846 " " y[1] (analytic) = 43.9995280721097 " " y[1] (numeric) = 55.99407747108012 " " absolute error = 11.99454939897042 " " relative error = 27.26063193067176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.693000000000847 " " y[1] (analytic) = 44.00255784342538 " " y[1] (numeric) = 56.01476997108012 " " absolute error = 12.012212127654742 " " relative error = 27.2988951469546 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.694000000000848 " " y[1] (analytic) = 44.005587663066585 " " y[1] (numeric) = 56.03546347108012 " " absolute error = 12.029875808013536 " " relative error = 27.337155227016954 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.69500000000085 " " y[1] (analytic) = 44.00861753103098 " " y[1] (numeric) = 56.05615797108012 " " absolute error = 12.04754044004914 " " relative error = 27.3754121713873 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.69600000000085 " " y[1] (analytic) = 44.01164744731622 " " y[1] (numeric) = 56.07685347108012 " " absolute error = 12.0652060237639 " " relative error = 27.41366598059401 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.697000000000852 " " y[1] (analytic) = 44.01467741191996 " " y[1] (numeric) = 56.09754997108012 " " absolute error = 12.082872559160158 " " relative error = 27.451916655165352 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.698000000000853 " " y[1] (analytic) = 44.017707424839905 " " y[1] (numeric) = 56.118247471080124 " " absolute error = 12.10054004624022 " " relative error = 27.490164195629344 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.699000000000854 " " y[1] (analytic) = 44.020737486073685 " " y[1] (numeric) = 56.138945971080126 " " absolute error = 12.118208485006441 " " relative error = 27.528408602514062 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.700000000000855 " " y[1] (analytic) = 44.02376759561899 " " y[1] (numeric) = 56.159645471080125 " " absolute error = 12.135877875461134 " " relative error = 27.566649876347316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.701000000000857 " " y[1] (analytic) = 44.02679775347346 " " y[1] (numeric) = 56.18034597108013 " " absolute error = 12.15354821760667 " " relative error = 27.604888017656982 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.702000000000858 " " y[1] (analytic) = 44.02982795963478 " " y[1] (numeric) = 56.20104747108013 " " absolute error = 12.17121951144535 " " relative error = 27.643123026970624 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.70300000000086 " " y[1] (analytic) = 44.03285821410063 " " y[1] (numeric) = 56.22174997108013 " " absolute error = 12.188891756979501 " " relative error = 27.68135490481573 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.70400000000086 " " y[1] (analytic) = 44.035888516868624 " " y[1] (numeric) = 56.24245347108013 " " absolute error = 12.206564954211508 " " relative error = 27.719583651719883 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.70500000000086 " " y[1] (analytic) = 44.038918867936474 " " y[1] (numeric) = 56.26315797108013 " " absolute error = 12.22423910314366 " " relative error = 27.75780926821024 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.706000000000863 " " y[1] (analytic) = 44.04194926730185 " " y[1] (numeric) = 56.28386347108013 " " absolute error = 12.241914203778279 " " relative error = 27.796031754813963 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.707000000000864 " " y[1] (analytic) = 44.044979714962395 " " y[1] (numeric) = 56.304569971080134 " " absolute error = 12.25959025611774 " " relative error = 27.834251112058226 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.708000000000865 " " y[1] (analytic) = 44.04801021091579 " " y[1] (numeric) = 56.325277471080135 " " absolute error = 12.277267260164344 " " relative error = 27.872467340469885 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.709000000000866 " " y[1] (analytic) = 44.051040755159704 " " y[1] (numeric) = 56.34598597108013 " " absolute error = 12.294945215920428 " " relative error = 27.91068044057579 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.710000000000868 " " y[1] (analytic) = 44.054071347691796 " " y[1] (numeric) = 56.366695471080135 " " absolute error = 12.31262412338834 " " relative error = 27.94889041290268 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.71100000000087 " " y[1] (analytic) = 44.05710198850976 " " y[1] (numeric) = 56.387405971080135 " " absolute error = 12.330303982570378 " " relative error = 27.987097257977076 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.71200000000087 " " y[1] (analytic) = 44.06013267761122 " " y[1] (numeric) = 56.40811747108013 " " absolute error = 12.34798479346891 " " relative error = 28.02530097632555 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.71300000000087 " " y[1] (analytic) = 44.06316341499388 " " y[1] (numeric) = 56.428829971080134 " " absolute error = 12.365666556086254 " " relative error = 28.06350156847442 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.714000000000873 " " y[1] (analytic) = 44.066194200655396 " " y[1] (numeric) = 56.44954347108013 " " absolute error = 12.383349270424738 " " relative error = 28.101699034949924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.715000000000874 " " y[1] (analytic) = 44.06922503459346 " " y[1] (numeric) = 56.47025797108014 " " absolute error = 12.40103293648668 " " relative error = 28.139893376278156 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.716000000000875 " " y[1] (analytic) = 44.0722559168057 " " y[1] (numeric) = 56.49097347108014 " " absolute error = 12.418717554274437 " " relative error = 28.178084592985204 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.717000000000876 " " y[1] (analytic) = 44.0752868472898 " " y[1] (numeric) = 56.51168997108014 " " absolute error = 12.436403123790335 " " relative error = 28.216272685596945 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.718000000000877 " " y[1] (analytic) = 44.07831782604345 " " y[1] (numeric) = 56.53240747108014 " " absolute error = 12.454089645036689 " " relative error = 28.254457654639108 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.71900000000088 " " y[1] (analytic) = 44.0813488530643 " " y[1] (numeric) = 56.55312597108014 " " absolute error = 12.471777118015844 " " relative error = 28.292639500637407 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.72000000000088 " " y[1] (analytic) = 44.084379928350046 " " y[1] (numeric) = 56.57384547108014 " " absolute error = 12.489465542730095 " " relative error = 28.33081822411728 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.72100000000088 " " y[1] (analytic) = 44.087411051898314 " " y[1] (numeric) = 56.594565971080144 " " absolute error = 12.50715491918183 " " relative error = 28.36899382560432 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.722000000000882 " " y[1] (analytic) = 44.09044222370682 " " y[1] (numeric) = 56.615287471080144 " " absolute error = 12.524845247373321 " " relative error = 28.40716630562368 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.723000000000884 " " y[1] (analytic) = 44.09347344377322 " " y[1] (numeric) = 56.63600997108014 " " absolute error = 12.542536527306922 " " relative error = 28.445335664700625 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.724000000000885 " " y[1] (analytic) = 44.096504712095154 " " y[1] (numeric) = 56.656733471080145 " " absolute error = 12.56022875898499 " " relative error = 28.483501903360306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.725000000000886 " " y[1] (analytic) = 44.09953602867034 " " y[1] (numeric) = 56.677457971080145 " " absolute error = 12.577921942409802 " " relative error = 28.521665022127543 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.726000000000887 " " y[1] (analytic) = 44.10256739349642 " " y[1] (numeric) = 56.69818347108014 " " absolute error = 12.59561607758372 " " relative error = 28.559825021527274 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.72700000000089 " " y[1] (analytic) = 44.105598806571095 " " y[1] (numeric) = 56.718909971080144 " " absolute error = 12.61331116450905 " " relative error = 28.597981902084165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.72800000000089 " " y[1] (analytic) = 44.10863026789201 " " y[1] (numeric) = 56.739637471080144 " " absolute error = 12.631007203188133 " " relative error = 28.63613566432286 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.72900000000089 " " y[1] (analytic) = 44.111661777456845 " " y[1] (numeric) = 56.76036597108015 " " absolute error = 12.648704193623303 " " relative error = 28.67428630876788 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.730000000000892 " " y[1] (analytic) = 44.114693335263276 " " y[1] (numeric) = 56.78109547108015 " " absolute error = 12.666402135816874 " " relative error = 28.712433835943568 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.731000000000893 " " y[1] (analytic) = 44.11772494130898 " " y[1] (numeric) = 56.80182597108015 " " absolute error = 12.68410102977117 " " relative error = 28.750578246374168 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.732000000000895 " " y[1] (analytic) = 44.12075659559163 " " y[1] (numeric) = 56.82255747108015 " " absolute error = 12.701800875488523 " " relative error = 28.788719540583845 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.733000000000896 " " y[1] (analytic) = 44.12378829810886 " " y[1] (numeric) = 56.843289971080154 " " absolute error = 12.71950167297129 " " relative error = 28.826857719096722 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.734000000000897 " " y[1] (analytic) = 44.1268200488584 " " y[1] (numeric) = 56.86402347108015 " " absolute error = 12.737203422221754 " " relative error = 28.864992782436577 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.7350000000009 " " y[1] (analytic) = 44.1298518478379 " " y[1] (numeric) = 56.884757971080155 " " absolute error = 12.754906123242257 " " relative error = 28.903124731127267 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.7360000000009 " " y[1] (analytic) = 44.132883695045024 " " y[1] (numeric) = 56.905493471080156 " " absolute error = 12.772609776035132 " " relative error = 28.94125356569248 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.7370000000009 " " y[1] (analytic) = 44.13591559047748 " " y[1] (numeric) = 56.926229971080154 " " absolute error = 12.790314380602673 " " relative error = 28.9793792866557 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.738000000000902 " " y[1] (analytic) = 44.13894753413289 " " y[1] (numeric) = 56.94696747108016 " " absolute error = 12.808019936947268 " " relative error = 29.017501894540548 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.739000000000903 " " y[1] (analytic) = 44.14197952600898 " " y[1] (numeric) = 56.96770597108016 " " absolute error = 12.825726445071176 " " relative error = 29.055621389870165 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.740000000000904 " " y[1] (analytic) = 44.14501156610339 " " y[1] (numeric) = 56.988445471080155 " " absolute error = 12.843433904976763 " " relative error = 29.093737773167906 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.741000000000906 " " y[1] (analytic) = 44.14804365441381 " " y[1] (numeric) = 57.00918597108016 " " absolute error = 12.861142316666346 " " relative error = 29.13185104495683 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.742000000000907 " " y[1] (analytic) = 44.15107579093792 " " y[1] (numeric) = 57.02992747108016 " " absolute error = 12.87885168014224 " " relative error = 29.1699612057599 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.743000000000908 " " y[1] (analytic) = 44.154107975673384 " " y[1] (numeric) = 57.05066997108016 " " absolute error = 12.896561995406778 " " relative error = 29.208068256100006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.74400000000091 " " y[1] (analytic) = 44.157140208617875 " " y[1] (numeric) = 57.07141347108016 " " absolute error = 12.914273262462288 " " relative error = 29.246172196499924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.74500000000091 " " y[1] (analytic) = 44.16017248976908 " " y[1] (numeric) = 57.09215797108016 " " absolute error = 12.93198548131108 " " relative error = 29.284273027482243 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.74600000000091 " " y[1] (analytic) = 44.16320481912468 " " y[1] (numeric) = 57.112903471080166 " " absolute error = 12.949698651955487 " " relative error = 29.322370749569508 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.747000000000913 " " y[1] (analytic) = 44.166237196682346 " " y[1] (numeric) = 57.13364997108017 " " absolute error = 12.967412774397822 " " relative error = 29.360465363284106 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.748000000000914 " " y[1] (analytic) = 44.16926962243973 " " y[1] (numeric) = 57.154397471080166 " " absolute error = 12.985127848640438 " " relative error = 29.398556869148415 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.749000000000915 " " y[1] (analytic) = 44.172302096394546 " " y[1] (numeric) = 57.17514597108017 " " absolute error = 13.002843874685624 " " relative error = 29.436645267684497 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.750000000000917 " " y[1] (analytic) = 44.17533461854446 " " y[1] (numeric) = 57.19589547108017 " " absolute error = 13.02056085253571 " " relative error = 29.474730559414436 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.751000000000918 " " y[1] (analytic) = 44.17836718888714 " " y[1] (numeric) = 57.21664597108017 " " absolute error = 13.038278782193032 " " relative error = 29.51281274486023 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.75200000000092 " " y[1] (analytic) = 44.18139980742026 " " y[1] (numeric) = 57.23739747108017 " " absolute error = 13.055997663659909 " " relative error = 29.550891824543676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.75300000000092 " " y[1] (analytic) = 44.184432474141516 " " y[1] (numeric) = 57.25814997108017 " " absolute error = 13.073717496938656 " " relative error = 29.588967798986477 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.75400000000092 " " y[1] (analytic) = 44.187465189048574 " " y[1] (numeric) = 57.27890347108017 " " absolute error = 13.091438282031596 " " relative error = 29.627040668710233 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.755000000000923 " " y[1] (analytic) = 44.190497952139125 " " y[1] (numeric) = 57.29965797108017 " " absolute error = 13.109160018941047 " " relative error = 29.665110434236404 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.756000000000924 " " y[1] (analytic) = 44.19353076341082 " " y[1] (numeric) = 57.32041347108017 " " absolute error = 13.126882707669353 " " relative error = 29.70317709608643 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.757000000000925 " " y[1] (analytic) = 44.19656362286136 " " y[1] (numeric) = 57.34116997108017 " " absolute error = 13.144606348218808 " " relative error = 29.741240654781485 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.758000000000926 " " y[1] (analytic) = 44.19959653048843 " " y[1] (numeric) = 57.36192747108017 " " absolute error = 13.162330940591744 " " relative error = 29.779301110842727 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.759000000000928 " " y[1] (analytic) = 44.20262948628968 " " y[1] (numeric) = 57.38268597108017 " " absolute error = 13.18005648479049 " " relative error = 29.81735846479121 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.76000000000093 " " y[1] (analytic) = 44.205662490262824 " " y[1] (numeric) = 57.403445471080175 " " absolute error = 13.197782980817351 " " relative error = 29.855412717147775 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.76100000000093 " " y[1] (analytic) = 44.20869554240551 " " y[1] (numeric) = 57.42420597108018 " " absolute error = 13.21551042867467 " " relative error = 29.893463868433294 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.76200000000093 " " y[1] (analytic) = 44.211728642715435 " " y[1] (numeric) = 57.444967471080176 " " absolute error = 13.23323882836474 " " relative error = 29.931511919168354 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.763000000000932 " " y[1] (analytic) = 44.2147617911903 " " y[1] (numeric) = 57.46572997108018 " " absolute error = 13.250968179889881 " " relative error = 29.96955686987351 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.764000000000934 " " y[1] (analytic) = 44.21779498782773 " " y[1] (numeric) = 57.48649347108018 " " absolute error = 13.26869848325245 " " relative error = 30.00759872106933 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.765000000000935 " " y[1] (analytic) = 44.22082823262545 " " y[1] (numeric) = 57.50725797108018 " " absolute error = 13.286429738454729 " " relative error = 30.045637473276006 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.766000000000936 " " y[1] (analytic) = 44.223861525581135 " " y[1] (numeric) = 57.52802347108018 " " absolute error = 13.304161945499047 " " relative error = 30.0836731270138 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.767000000000937 " " y[1] (analytic) = 44.22689486669245 " " y[1] (numeric) = 57.54878997108018 " " absolute error = 13.321895104387735 " " relative error = 30.12170568280284 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.76800000000094 " " y[1] (analytic) = 44.22992825595708 " " y[1] (numeric) = 57.56955747108018 " " absolute error = 13.339629215123104 " " relative error = 30.15973514116308 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.76900000000094 " " y[1] (analytic) = 44.232961693372715 " " y[1] (numeric) = 57.59032597108018 " " absolute error = 13.357364277707468 " " relative error = 30.197761502614373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.77000000000094 " " y[1] (analytic) = 44.23599517893705 " " y[1] (numeric) = 57.61109547108018 " " absolute error = 13.37510029214313 " " relative error = 30.235784767676435 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.771000000000942 " " y[1] (analytic) = 44.23902871264774 " " y[1] (numeric) = 57.63186597108018 " " absolute error = 13.392837258432444 " " relative error = 30.273804936869 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.772000000000943 " " y[1] (analytic) = 44.242062294502475 " " y[1] (numeric) = 57.65263747108018 " " absolute error = 13.410575176577709 " " relative error = 30.31182201071153 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.773000000000945 " " y[1] (analytic) = 44.245095924498926 " " y[1] (numeric) = 57.67340997108018 " " absolute error = 13.428314046581256 " " relative error = 30.34983598972349 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.774000000000946 " " y[1] (analytic) = 44.24812960263481 " " y[1] (numeric) = 57.69418347108019 " " absolute error = 13.446053868445375 " " relative error = 30.387846874424074 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.775000000000947 " " y[1] (analytic) = 44.25116332890778 " " y[1] (numeric) = 57.71495797108019 " " absolute error = 13.46379464217241 " " relative error = 30.425854665332537 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.77600000000095 " " y[1] (analytic) = 44.25419710331553 " " y[1] (numeric) = 57.73573347108019 " " absolute error = 13.481536367764654 " " relative error = 30.46385936296789 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.77700000000095 " " y[1] (analytic) = 44.25723092585574 " " y[1] (numeric) = 57.75650997108019 " " absolute error = 13.499279045224455 " " relative error = 30.50186096784915 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.77800000000095 " " y[1] (analytic) = 44.260264796526094 " " y[1] (numeric) = 57.77728747108020 " " absolute error = 13.517022674554099 " " relative error = 30.539859480495075 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.779000000000952 " " y[1] (analytic) = 44.26329871532427 " " y[1] (numeric) = 57.79806597108019 " " absolute error = 13.534767255755924 " " relative error = 30.57785490142444 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.780000000000953 " " y[1] (analytic) = 44.26633268224796 " " y[1] (numeric) = 57.818845471080195 " " absolute error = 13.552512788832232 " " relative error = 30.615847231155808 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.781000000000954 " " y[1] (analytic) = 44.26936669729484 " " y[1] (numeric) = 57.839625971080196 " " absolute error = 13.570259273785354 " " relative error = 30.653836470207715 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.782000000000956 " " y[1] (analytic) = 44.272400760462624 " " y[1] (numeric) = 57.860407471080194 " " absolute error = 13.58800671061757 " " relative error = 30.69182261909842 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.783000000000957 " " y[1] (analytic) = 44.275434871748956 " " y[1] (numeric) = 57.8811899710802 " " absolute error = 13.60575509933124 " " relative error = 30.729805678346327 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.784000000000958 " " y[1] (analytic) = 44.27846903115153 " " y[1] (numeric) = 57.9019734710802 " " absolute error = 13.623504439928666 " " relative error = 30.767785648469534 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.78500000000096 " " y[1] (analytic) = 44.28150323866804 " " y[1] (numeric) = 57.922757971080195 " " absolute error = 13.641254732412158 " " relative error = 30.80576252998605 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.78600000000096 " " y[1] (analytic) = 44.28453749429617 " " y[1] (numeric) = 57.9435434710802 " " absolute error = 13.65900597678403 " " relative error = 30.8437363234138 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.787000000000962 " " y[1] (analytic) = 44.28757179803361 " " y[1] (numeric) = 57.9643299710802 " " absolute error = 13.676758173046586 " " relative error = 30.88170702927055 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.788000000000963 " " y[1] (analytic) = 44.29060614987803 " " y[1] (numeric) = 57.9851174710802 " " absolute error = 13.694511321202171 " " relative error = 30.919674648074068 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.789000000000964 " " y[1] (analytic) = 44.29364054982713 " " y[1] (numeric) = 58.0059059710802 " " absolute error = 13.712265421253072 " " relative error = 30.957639180341854 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.790000000000965 " " y[1] (analytic) = 44.296674997878604 " " y[1] (numeric) = 58.0266954710802 " " absolute error = 13.730020473201598 " " relative error = 30.995600626591358 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.791000000000967 " " y[1] (analytic) = 44.29970949403011 " " y[1] (numeric) = 58.04748597108020 " " absolute error = 13.747776477050095 " " relative error = 31.033558987340005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.792000000000968 " " y[1] (analytic) = 44.30274403827936 " " y[1] (numeric) = 58.06827747108021 " " absolute error = 13.76553343280085 " " relative error = 31.071514263104955 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.79300000000097 " " y[1] (analytic) = 44.30577863062402 " " y[1] (numeric) = 58.08906997108020 " " absolute error = 13.783291340456188 " " relative error = 31.10946645440335 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.79400000000097 " " y[1] (analytic) = 44.3088132710618 " " y[1] (numeric) = 58.10986347108021 " " absolute error = 13.801050200018409 " " relative error = 31.14741556175216 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.79500000000097 " " y[1] (analytic) = 44.31184795959037 " " y[1] (numeric) = 58.13065797108021 " " absolute error = 13.818810011489845 " " relative error = 31.18536158566832 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.796000000000973 " " y[1] (analytic) = 44.31488269620742 " " y[1] (numeric) = 58.15145347108021 " " absolute error = 13.83657077487279 " " relative error = 31.22330452666855 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.797000000000974 " " y[1] (analytic) = 44.31791748091065 " " y[1] (numeric) = 58.17224997108021 " " absolute error = 13.854332490169561 " " relative error = 31.26124438526952 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.798000000000975 " " y[1] (analytic) = 44.32095231369774 " " y[1] (numeric) = 58.19304747108021 " " absolute error = 13.872095157382475 " " relative error = 31.299181161987793 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.799000000000976 " " y[1] (analytic) = 44.32398719456637 " " y[1] (numeric) = 58.21384597108021 " " absolute error = 13.88985877651384 " " relative error = 31.33711485733978 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.800000000000978 " " y[1] (analytic) = 44.32702212351424 " " y[1] (numeric) = 58.23464547108021 " " absolute error = 13.907623347565973 " " relative error = 31.375045471841812 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.80100000000098 " " y[1] (analytic) = 44.33005710053902 " " y[1] (numeric) = 58.25544597108021 " " absolute error = 13.925388870541191 " " relative error = 31.412973006010112 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.80200000000098 " " y[1] (analytic) = 44.33309212563842 " " y[1] (numeric) = 58.27624747108021 " " absolute error = 13.943155345441788 " " relative error = 31.450897460360707 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.80300000000098 " " y[1] (analytic) = 44.33612719881013 " " y[1] (numeric) = 58.29704997108021 " " absolute error = 13.96092277227008 " " relative error = 31.488818835409592 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.804000000000983 " " y[1] (analytic) = 44.33916232005181 " " y[1] (numeric) = 58.31785347108021 " " absolute error = 13.9786911510284 " " relative error = 31.526737131672686 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.805000000000984 " " y[1] (analytic) = 44.34219748936117 " " y[1] (numeric) = 58.33865797108022 " " absolute error = 13.996460481719048 " " relative error = 31.564652349665707 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.806000000000985 " " y[1] (analytic) = 44.345232706735906 " " y[1] (numeric) = 58.35946347108022 " " absolute error = 14.014230764344312 " " relative error = 31.602564489904214 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.807000000000986 " " y[1] (analytic) = 44.348267972173716 " " y[1] (numeric) = 58.38026997108022 " " absolute error = 14.032001998906502 " " relative error = 31.64047355290373 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.808000000000987 " " y[1] (analytic) = 44.35130328567226 " " y[1] (numeric) = 58.40107747108022 " " absolute error = 14.049774185407962 " " relative error = 31.678379539179762 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.80900000000099 " " y[1] (analytic) = 44.35433864722924 " " y[1] (numeric) = 58.42188597108022 " " absolute error = 14.067547323850981 " " relative error = 31.71628244924753 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.81000000000099 " " y[1] (analytic) = 44.35737405684235 " " y[1] (numeric) = 58.44269547108022 " " absolute error = 14.085321414237868 " " relative error = 31.754182283622207 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.81100000000099 " " y[1] (analytic) = 44.3604095145093 " " y[1] (numeric) = 58.463505971080224 " " absolute error = 14.103096456570924 " " relative error = 31.792079042818838 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.812000000000992 " " y[1] (analytic) = 44.36344502022773 " " y[1] (numeric) = 58.484317471080224 " " absolute error = 14.120872450852495 " " relative error = 31.829972727352477 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.813000000000994 " " y[1] (analytic) = 44.366480573995375 " " y[1] (numeric) = 58.50512997108022 " " absolute error = 14.138649397084848 " " relative error = 31.86786333773783 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.814000000000995 " " y[1] (analytic) = 44.36951617580993 " " y[1] (numeric) = 58.525943471080225 " " absolute error = 14.156427295270298 " " relative error = 31.90575087448964 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.815000000000996 " " y[1] (analytic) = 44.37255182566906 " " y[1] (numeric) = 58.546757971080226 " " absolute error = 14.174206145411162 " " relative error = 31.943635338122544 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.816000000000997 " " y[1] (analytic) = 44.37558752357046 " " y[1] (numeric) = 58.56757347108022 " " absolute error = 14.191985947509764 " " relative error = 31.981516729151075 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.817000000001 " " y[1] (analytic) = 44.37862326951182 " " y[1] (numeric) = 58.588389971080225 " " absolute error = 14.209766701568405 " " relative error = 32.0193950480896 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.818000000001 " " y[1] (analytic) = 44.381659063490865 " " y[1] (numeric) = 58.609207471080225 " " absolute error = 14.22754840758936 " " relative error = 32.05727029545228 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.819000000001 " " y[1] (analytic) = 44.384694905505256 " " y[1] (numeric) = 58.63002597108023 " " absolute error = 14.245331065574973 " " relative error = 32.09514247175338 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.820000000001002 " " y[1] (analytic) = 44.387730795552685 " " y[1] (numeric) = 58.65084547108023 " " absolute error = 14.263114675527547 " " relative error = 32.13301157750692 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.821000000001003 " " y[1] (analytic) = 44.390766733630855 " " y[1] (numeric) = 58.67166597108023 " " absolute error = 14.280899237449376 " " relative error = 32.17087761322679 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.822000000001005 " " y[1] (analytic) = 44.39380271973749 " " y[1] (numeric) = 58.692487471080234 " " absolute error = 14.298684751342748 " " relative error = 32.20874057942676 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.823000000001006 " " y[1] (analytic) = 44.39683875387021 " " y[1] (numeric) = 58.713309971080236 " " absolute error = 14.316471217210022 " " relative error = 32.24660047662067 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.824000000001007 " " y[1] (analytic) = 44.39987483602677 " " y[1] (numeric) = 58.734133471080234 " " absolute error = 14.334258635053466 " " relative error = 32.28445730532200 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.82500000000101 " " y[1] (analytic) = 44.40291096620484 " " y[1] (numeric) = 58.75495797108024 " " absolute error = 14.352047004875395 " " relative error = 32.32231106604423 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.82600000000101 " " y[1] (analytic) = 44.4059471444021 " " y[1] (numeric) = 58.77578347108024 " " absolute error = 14.36983632667814 " " relative error = 32.360161759300816 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.82700000000101 " " y[1] (analytic) = 44.4089833706163 " " y[1] (numeric) = 58.79660997108024 " " absolute error = 14.387626600463939 " " relative error = 32.39800938560479 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.828000000001012 " " y[1] (analytic) = 44.41201964484506 " " y[1] (numeric) = 58.81743747108024 " " absolute error = 14.40541782623518 " " relative error = 32.43585394546953 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.829000000001013 " " y[1] (analytic) = 44.41505596708613 " " y[1] (numeric) = 58.83826597108024 " " absolute error = 14.423210003994107 " " relative error = 32.47369543940788 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.830000000001014 " " y[1] (analytic) = 44.41809233733718 " " y[1] (numeric) = 58.85909547108024 " " absolute error = 14.44100313374306 " " relative error = 32.51153386793284 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.831000000001016 " " y[1] (analytic) = 44.42112875559593 " " y[1] (numeric) = 58.87992597108024 " " absolute error = 14.45879721548431 " " relative error = 32.54936923155711 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.832000000001017 " " y[1] (analytic) = 44.42416522186002 " " y[1] (numeric) = 58.90075747108024 " " absolute error = 14.476592249220218 " " relative error = 32.587201530793536 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.833000000001018 " " y[1] (analytic) = 44.427201736127216 " " y[1] (numeric) = 58.921589971080245 " " absolute error = 14.494388234953028 " " relative error = 32.625030766154495 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.83400000000102 " " y[1] (analytic) = 44.43023829839516 " " y[1] (numeric) = 58.94242347108025 " " absolute error = 14.512185172685086 " " relative error = 32.66285693815257 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.83500000000102 " " y[1] (analytic) = 44.43327490866157 " " y[1] (numeric) = 58.963257971080246 " " absolute error = 14.529983062418673 " " relative error = 32.70068004730005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.83600000000102 " " y[1] (analytic) = 44.43631156692415 " " y[1] (numeric) = 58.98409347108025 " " absolute error = 14.547781904156103 " " relative error = 32.73850009410916 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.837000000001023 " " y[1] (analytic) = 44.43934827318057 " " y[1] (numeric) = 59.00492997108025 " " absolute error = 14.565581697899681 " " relative error = 32.77631707909205 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.838000000001024 " " y[1] (analytic) = 44.442385027428564 " " y[1] (numeric) = 59.02576747108025 " " absolute error = 14.583382443651686 " " relative error = 32.81413100276064 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.839000000001025 " " y[1] (analytic) = 44.445421829665804 " " y[1] (numeric) = 59.046605971080254 " " absolute error = 14.60118414141445 " " relative error = 32.851941865626884 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.840000000001027 " " y[1] (analytic) = 44.448458679889995 " " y[1] (numeric) = 59.067445471080255 " " absolute error = 14.61898679119026 " " relative error = 32.88974966820253 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.841000000001028 " " y[1] (analytic) = 44.451495578098815 " " y[1] (numeric) = 59.08828597108025 " " absolute error = 14.636790392981439 " " relative error = 32.927554410999306 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.84200000000103 " " y[1] (analytic) = 44.45453252428998 " " y[1] (numeric) = 59.10912747108026 " " absolute error = 14.654594946790276 " " relative error = 32.965356094528715 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.84300000000103 " " y[1] (analytic) = 44.4575695184612 " " y[1] (numeric) = 59.12996997108026 " " absolute error = 14.672400452619058 " " relative error = 33.003154719302145 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.84400000000103 " " y[1] (analytic) = 44.460606560610145 " " y[1] (numeric) = 59.150813471080255 " " absolute error = 14.69020691047011 " " relative error = 33.040950285830995 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.845000000001033 " " y[1] (analytic) = 44.463643650734525 " " y[1] (numeric) = 59.17165797108026 " " absolute error = 14.708014320345733 " " relative error = 33.078742794626464 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.846000000001034 " " y[1] (analytic) = 44.46668078883204 " " y[1] (numeric) = 59.19250347108026 " " absolute error = 14.725822682248214 " " relative error = 33.11653224619962 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.847000000001035 " " y[1] (analytic) = 44.469717974900405 " " y[1] (numeric) = 59.213349971080255 " " absolute error = 14.74363199617985 " " relative error = 33.15431864106143 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.848000000001036 " " y[1] (analytic) = 44.472755208937286 " " y[1] (numeric) = 59.23419747108026 " " absolute error = 14.761442262142971 " " relative error = 33.19210197972285 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.849000000001038 " " y[1] (analytic) = 44.47579249094039 " " y[1] (numeric) = 59.25504597108026 " " absolute error = 14.779253480139865 " " relative error = 33.229882262694616 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.85000000000104 " " y[1] (analytic) = 44.47882982090746 " " y[1] (numeric) = 59.27589547108026 " " absolute error = 14.797065650172804 " " relative error = 33.267659490487276 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.85100000000104 " " y[1] (analytic) = 44.48186719883614 " " y[1] (numeric) = 59.29674597108026 " " absolute error = 14.814878772244121 " " relative error = 33.305433663611474 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.85200000000104 " " y[1] (analytic) = 44.48490462472414 " " y[1] (numeric) = 59.31759747108026 " " absolute error = 14.832692846356125 " " relative error = 33.34320478257765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.853000000001042 " " y[1] (analytic) = 44.48794209856918 " " y[1] (numeric) = 59.338449971080266 " " absolute error = 14.850507872511088 " " relative error = 33.38097284789604 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.854000000001044 " " y[1] (analytic) = 44.490979620368954 " " y[1] (numeric) = 59.35930347108027 " " absolute error = 14.868323850711313 " " relative error = 33.418737860076845 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.855000000001045 " " y[1] (analytic) = 44.494017190121156 " " y[1] (numeric) = 59.380157971080266 " " absolute error = 14.88614078095911 " " relative error = 33.45649981963019 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.856000000001046 " " y[1] (analytic) = 44.4970548078235 " " y[1] (numeric) = 59.40101347108027 " " absolute error = 14.903958663256766 " " relative error = 33.494258727066004 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.857000000001047 " " y[1] (analytic) = 44.50009247347367 " " y[1] (numeric) = 59.42186997108027 " " absolute error = 14.921777497606598 " " relative error = 33.532014582894206 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.85800000000105 " " y[1] (analytic) = 44.50313018706937 " " y[1] (numeric) = 59.44272747108027 " " absolute error = 14.939597284010901 " " relative error = 33.56976738762454 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.85900000000105 " " y[1] (analytic) = 44.50616794860831 " " y[1] (numeric) = 59.46358597108027 " " absolute error = 14.957418022471963 " " relative error = 33.607517141766586 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.86000000000105 " " y[1] (analytic) = 44.509205758088186 " " y[1] (numeric) = 59.48444547108027 " " absolute error = 14.975239712992085 " " relative error = 33.6452638458299 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.861000000001052 " " y[1] (analytic) = 44.51224361550669 " " y[1] (numeric) = 59.50530597108027 " " absolute error = 14.993062355573578 " " relative error = 33.683007500323924 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.862000000001053 " " y[1] (analytic) = 44.51528152086154 " " y[1] (numeric) = 59.52616747108027 " " absolute error = 15.010885950218729 " " relative error = 33.72074810575793 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.863000000001055 " " y[1] (analytic) = 44.518319474150445 " " y[1] (numeric) = 59.54702997108027 " " absolute error = 15.028710496929826 " " relative error = 33.75848566264107 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.864000000001056 " " y[1] (analytic) = 44.521357475371076 " " y[1] (numeric) = 59.567893471080275 " " absolute error = 15.046535995709199 " " relative error = 33.79622017148252 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.865000000001057 " " y[1] (analytic) = 44.52439552452117 " " y[1] (numeric) = 59.58875797108028 " " absolute error = 15.064362446559109 " " relative error = 33.83395163279113 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.86600000000106 " " y[1] (analytic) = 44.52743362159841 " " y[1] (numeric) = 59.609623471080276 " " absolute error = 15.082189849481864 " " relative error = 33.871680047075785 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.86700000000106 " " y[1] (analytic) = 44.53047176660051 " " y[1] (numeric) = 59.63048997108028 " " absolute error = 15.100018204479767 " " relative error = 33.909405414845246 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.86800000000106 " " y[1] (analytic) = 44.53350995952515 " " y[1] (numeric) = 59.65135747108028 " " absolute error = 15.117847511555134 " " relative error = 33.94712773660819 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.869000000001062 " " y[1] (analytic) = 44.53654820037006 " " y[1] (numeric) = 59.67222597108028 " " absolute error = 15.135677770710217 " " relative error = 33.98484701287302 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.870000000001063 " " y[1] (analytic) = 44.53958648913294 " " y[1] (numeric) = 59.693095471080284 " " absolute error = 15.153508981947347 " " relative error = 34.022563244148216 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.871000000001064 " " y[1] (analytic) = 44.54262482581149 " " y[1] (numeric) = 59.713965971080285 " " absolute error = 15.171341145268798 " " relative error = 34.06027643094202 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.872000000001066 " " y[1] (analytic) = 44.545663210403404 " " y[1] (numeric) = 59.73483747108028 " " absolute error = 15.189174260676879 " " relative error = 34.09798657376265 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.873000000001067 " " y[1] (analytic) = 44.548701642906394 " " y[1] (numeric) = 59.755709971080286 " " absolute error = 15.207008328173892 " " relative error = 34.135693673118176 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.874000000001068 " " y[1] (analytic) = 44.551740123318176 " " y[1] (numeric) = 59.776583471080286 " " absolute error = 15.22484334776211 " " relative error = 34.17339772951651 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.87500000000107 " " y[1] (analytic) = 44.55477865163644 " " y[1] (numeric) = 59.797457971080284 " " absolute error = 15.242679319443845 " " relative error = 34.211098743465534 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.87600000000107 " " y[1] (analytic) = 44.55781722785889 " " y[1] (numeric) = 59.81833347108029 " " absolute error = 15.260516243221396 " " relative error = 34.24879671547299 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.877000000001072 " " y[1] (analytic) = 44.56085585198325 " " y[1] (numeric) = 59.83920997108029 " " absolute error = 15.278354119097038 " " relative error = 34.28649164604646 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.878000000001073 " " y[1] (analytic) = 44.56389452400719 " " y[1] (numeric) = 59.86008747108029 " " absolute error = 15.296192947073102 " " relative error = 34.32418353569352 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.879000000001074 " " y[1] (analytic) = 44.56693324392846 " " y[1] (numeric) = 59.88096597108030 " " absolute error = 15.314032727151833 " " relative error = 34.361872384921455 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.880000000001075 " " y[1] (analytic) = 44.56997201174474 " " y[1] (numeric) = 59.90184547108029 " " absolute error = 15.331873459335554 " " relative error = 34.39955819423763 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.881000000001077 " " y[1] (analytic) = 44.573010827453714 " " y[1] (numeric) = 59.9227259710803 " " absolute error = 15.349715143626582 " " relative error = 34.437240964149275 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.882000000001078 " " y[1] (analytic) = 44.57604969105315 " " y[1] (numeric) = 59.9436074710803 " " absolute error = 15.367557780027148 " " relative error = 34.47492069516328 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.88300000000108 " " y[1] (analytic) = 44.57908860254072 " " y[1] (numeric) = 59.9644899710803 " " absolute error = 15.385401368539576 " " relative error = 34.51259738778668 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.88400000000108 " " y[1] (analytic) = 44.582127561914106 " " y[1] (numeric) = 59.9853734710803 " " absolute error = 15.403245909166195 " " relative error = 34.55027104252641 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.88500000000108 " " y[1] (analytic) = 44.58516656917105 " " y[1] (numeric) = 60.0062579710803 " " absolute error = 15.421091401909251 " " relative error = 34.58794165988908 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.886000000001083 " " y[1] (analytic) = 44.588205624309246 " " y[1] (numeric) = 60.0271434710803 " " absolute error = 15.438937846771054 " " relative error = 34.62560924038134 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.887000000001084 " " y[1] (analytic) = 44.59124472732641 " " y[1] (numeric) = 60.048029971080304 " " absolute error = 15.456785243753892 " " relative error = 34.66327378450968 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.888000000001085 " " y[1] (analytic) = 44.59428387822024 " " y[1] (numeric) = 60.068917471080304 " " absolute error = 15.474633592860066 " " relative error = 34.700935292780535 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.889000000001086 " " y[1] (analytic) = 44.597323076988445 " " y[1] (numeric) = 60.0898059710803 " " absolute error = 15.492482894091857 " " relative error = 34.73859376570014 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.890000000001088 " " y[1] (analytic) = 44.60036232362874 " " y[1] (numeric) = 60.110695471080305 " " absolute error = 15.510333147451568 " " relative error = 34.7762492037747 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.89100000000109 " " y[1] (analytic) = 44.60340161813882 " " y[1] (numeric) = 60.131585971080305 " " absolute error = 15.528184352941487 " " relative error = 34.81390160751026 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.89200000000109 " " y[1] (analytic) = 44.60644096051642 " " y[1] (numeric) = 60.1524774710803 " " absolute error = 15.54603651056388 " " relative error = 34.8515509774127 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.89300000000109 " " y[1] (analytic) = 44.60948035075921 " " y[1] (numeric) = 60.173369971080305 " " absolute error = 15.563889620321092 " " relative error = 34.88919731398800 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.894000000001093 " " y[1] (analytic) = 44.61251978886494 " " y[1] (numeric) = 60.194263471080305 " " absolute error = 15.581743682215368 " " relative error = 34.926840617741775 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.895000000001094 " " y[1] (analytic) = 44.6155592748313 " " y[1] (numeric) = 60.21515797108031 " " absolute error = 15.59959869624901 " " relative error = 34.964480889179654 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.896000000001095 " " y[1] (analytic) = 44.61859880865599 " " y[1] (numeric) = 60.23605347108031 " " absolute error = 15.617454662424322 " " relative error = 35.00211812880718 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.897000000001096 " " y[1] (analytic) = 44.62163839033673 " " y[1] (numeric) = 60.25694997108031 " " absolute error = 15.635311580743583 " " relative error = 35.03975233712971 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.898000000001097 " " y[1] (analytic) = 44.62467801987122 " " y[1] (numeric) = 60.277847471080314 " " absolute error = 15.653169451209095 " " relative error = 35.077383514652574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.8990000000011 " " y[1] (analytic) = 44.62771769725718 " " y[1] (numeric) = 60.298745971080315 " " absolute error = 15.671028273823133 " " relative error = 35.11501166188087 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.9000000000011 " " y[1] (analytic) = 44.63075742249234 " " y[1] (numeric) = 60.319645471080314 " " absolute error = 15.688888048587977 " " relative error = 35.15263677931965 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.9010000000011 " " y[1] (analytic) = 44.63379719557439 " " y[1] (numeric) = 60.34054597108032 " " absolute error = 15.706748775505929 " " relative error = 35.190258867473894 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.902000000001102 " " y[1] (analytic) = 44.636837016501026 " " y[1] (numeric) = 60.36144747108032 " " absolute error = 15.724610454579292 " " relative error = 35.22787792684847 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.903000000001104 " " y[1] (analytic) = 44.63987688526997 " " y[1] (numeric) = 60.382349971080316 " " absolute error = 15.742473085810346 " " relative error = 35.26549395794809 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.904000000001105 " " y[1] (analytic) = 44.64291680187894 " " y[1] (numeric) = 60.40325347108032 " " absolute error = 15.76033666920138 " " relative error = 35.30310696127735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.905000000001106 " " y[1] (analytic) = 44.64595676632564 " " y[1] (numeric) = 60.42415797108032 " " absolute error = 15.77820120475468 " " relative error = 35.340716937340765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.906000000001107 " " y[1] (analytic) = 44.6489967786078 " " y[1] (numeric) = 60.44506347108032 " " absolute error = 15.796066692472515 " " relative error = 35.378323886642654 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.90700000000111 " " y[1] (analytic) = 44.65203683872312 " " y[1] (numeric) = 60.46596997108032 " " absolute error = 15.8139331323572 " " relative error = 35.41592780968739 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.90800000000111 " " y[1] (analytic) = 44.6550769466693 " " y[1] (numeric) = 60.48687747108032 " " absolute error = 15.831800524411022 " " relative error = 35.45352870697914 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.90900000000111 " " y[1] (analytic) = 44.65811710244405 " " y[1] (numeric) = 60.507785971080324 " " absolute error = 15.849668868636272 " " relative error = 35.49112657902196 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.910000000001112 " " y[1] (analytic) = 44.66115730604513 " " y[1] (numeric) = 60.528695471080326 " " absolute error = 15.867538165035192 " " relative error = 35.52872142631967 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.911000000001113 " " y[1] (analytic) = 44.66419755747019 " " y[1] (numeric) = 60.549605971080325 " " absolute error = 15.885408413610136 " " relative error = 35.56631324937633 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.912000000001115 " " y[1] (analytic) = 44.66723785671698 " " y[1] (numeric) = 60.57051747108033 " " absolute error = 15.903279614363349 " " relative error = 35.603902048695495 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.913000000001116 " " y[1] (analytic) = 44.6702782037832 " " y[1] (numeric) = 60.59142997108033 " " absolute error = 15.921151767297133 " " relative error = 35.641487824780874 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.914000000001117 " " y[1] (analytic) = 44.67331859866656 " " y[1] (numeric) = 60.61234347108033 " " absolute error = 15.939024872413768 " " relative error = 35.67907057813593 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.91500000000112 " " y[1] (analytic) = 44.67635904136479 " " y[1] (numeric) = 60.63325797108033 " " absolute error = 15.956898929715543 " " relative error = 35.71665030926407 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.91600000000112 " " y[1] (analytic) = 44.6793995318756 " " y[1] (numeric) = 60.654173471080334 " " absolute error = 15.97477393920473 " " relative error = 35.75422701866854 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.91700000000112 " " y[1] (analytic) = 44.68244007019668 " " y[1] (numeric) = 60.67508997108033 " " absolute error = 15.992649900883656 " " relative error = 35.79180070685263 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.918000000001122 " " y[1] (analytic) = 44.68548065632577 " " y[1] (numeric) = 60.696007471080335 " " absolute error = 16.010526814754563 " " relative error = 35.82937137431927 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.919000000001123 " " y[1] (analytic) = 44.68852129026061 " " y[1] (numeric) = 60.716925971080336 " " absolute error = 16.028404680819726 " " relative error = 35.866939021571405 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.920000000001124 " " y[1] (analytic) = 44.69156197199885 " " y[1] (numeric) = 60.737845471080334 " " absolute error = 16.046283499081483 " " relative error = 35.90450364911201 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.921000000001126 " " y[1] (analytic) = 44.69460270153823 " " y[1] (numeric) = 60.75876597108034 " " absolute error = 16.064163269542107 " " relative error = 35.942065257443794 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.922000000001127 " " y[1] (analytic) = 44.69764347887650 " " y[1] (numeric) = 60.77968747108034 " " absolute error = 16.082043992203843 " " relative error = 35.979623847069256 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.923000000001128 " " y[1] (analytic) = 44.70068430401133 " " y[1] (numeric) = 60.80060997108034 " " absolute error = 16.09992566706901 " " relative error = 36.017179418491004 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.92400000000113 " " y[1] (analytic) = 44.70372517694045 " " y[1] (numeric) = 60.82153347108034 " " absolute error = 16.11780829413989 " " relative error = 36.05473197221146 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.92500000000113 " " y[1] (analytic) = 44.706766097661585 " " y[1] (numeric) = 60.84245797108034 " " absolute error = 16.135691873418757 " " relative error = 36.092281508732846 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.92600000000113 " " y[1] (analytic) = 44.70980706617245 " " y[1] (numeric) = 60.86338347108035 " " absolute error = 16.153576404907895 " " relative error = 36.12982802855736 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.927000000001133 " " y[1] (analytic) = 44.71284808247076 " " y[1] (numeric) = 60.88430997108035 " " absolute error = 16.171461888609592 " " relative error = 36.1673715321871 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.928000000001134 " " y[1] (analytic) = 44.71588914655422 " " y[1] (numeric) = 60.90523747108035 " " absolute error = 16.18934832452613 " " relative error = 36.20491202012399 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.929000000001135 " " y[1] (analytic) = 44.718930258420556 " " y[1] (numeric) = 60.92616597108035 " " absolute error = 16.207235712659795 " " relative error = 36.24244949286992 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.930000000001137 " " y[1] (analytic) = 44.721971418067476 " " y[1] (numeric) = 60.94709547108035 " " absolute error = 16.225124053012877 " " relative error = 36.279983950926635 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.931000000001138 " " y[1] (analytic) = 44.725012625492724 " " y[1] (numeric) = 60.96802597108035 " " absolute error = 16.243013345587627 " " relative error = 36.31751539479567 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.93200000000114 " " y[1] (analytic) = 44.72805388069396 " " y[1] (numeric) = 60.988957471080354 " " absolute error = 16.26090359038639 " " relative error = 36.355043824978736 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.93300000000114 " " y[1] (analytic) = 44.731095183668984 " " y[1] (numeric) = 61.009889971080355 " " absolute error = 16.27879478741137 " " relative error = 36.39256924197700 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.93400000000114 " " y[1] (analytic) = 44.73413653441545 " " y[1] (numeric) = 61.03082347108035 " " absolute error = 16.296686936664905 " " relative error = 36.43009164629192 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.935000000001143 " " y[1] (analytic) = 44.737177932931104 " " y[1] (numeric) = 61.051757971080356 " " absolute error = 16.314580038149252 " " relative error = 36.46761103842463 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.936000000001144 " " y[1] (analytic) = 44.74021937921364 " " y[1] (numeric) = 61.072693471080356 " " absolute error = 16.332474091866715 " " relative error = 36.50512741887628 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.937000000001145 " " y[1] (analytic) = 44.743260873260795 " " y[1] (numeric) = 61.093629971080354 " " absolute error = 16.35036909781956 " " relative error = 36.542640788147764 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.938000000001146 " " y[1] (analytic) = 44.746302415070296 " " y[1] (numeric) = 61.114567471080356 " " absolute error = 16.36826505601006 " " relative error = 36.580151146739944 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.939000000001148 " " y[1] (analytic) = 44.74934400463984 " " y[1] (numeric) = 61.135505971080356 " " absolute error = 16.38616196644052 " " relative error = 36.61765849515362 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.94000000000115 " " y[1] (analytic) = 44.752385641967166 " " y[1] (numeric) = 61.15644547108036 " " absolute error = 16.404059829113194 " " relative error = 36.65516283388938 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.94100000000115 " " y[1] (analytic) = 44.75542732704997 " " y[1] (numeric) = 61.17738597108036 " " absolute error = 16.42195864403039 " " relative error = 36.6926641634478 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.94200000000115 " " y[1] (analytic) = 44.75846905988599 " " y[1] (numeric) = 61.19832747108036 " " absolute error = 16.439858411194372 " " relative error = 36.730162484329284 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.943000000001152 " " y[1] (analytic) = 44.76151084047295 " " y[1] (numeric) = 61.219269971080365 " " absolute error = 16.457759130607414 " " relative error = 36.7676577970341 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.944000000001154 " " y[1] (analytic) = 44.76455266880856 " " y[1] (numeric) = 61.24021347108037 " " absolute error = 16.475660802271804 " " relative error = 36.80515010206248 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.945000000001155 " " y[1] (analytic) = 44.76759454489053 " " y[1] (numeric) = 61.261157971080365 " " absolute error = 16.493563426189837 " " relative error = 36.84263939991455 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.946000000001156 " " y[1] (analytic) = 44.770636468716596 " " y[1] (numeric) = 61.28210347108037 " " absolute error = 16.511467002363773 " " relative error = 36.88012569109026 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.947000000001157 " " y[1] (analytic) = 44.773678440284485 " " y[1] (numeric) = 61.30304997108037 " " absolute error = 16.529371530795885 " " relative error = 36.91760897608944 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.94800000000116 " " y[1] (analytic) = 44.776720459591886 " " y[1] (numeric) = 61.32399747108037 " " absolute error = 16.547277011488482 " " relative error = 36.95508925541194 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.94900000000116 " " y[1] (analytic) = 44.77976252663656 " " y[1] (numeric) = 61.34494597108037 " " absolute error = 16.56518344444381 " " relative error = 36.99256652955732 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.95000000000116 " " y[1] (analytic) = 44.78280464141621 " " y[1] (numeric) = 61.36589547108037 " " absolute error = 16.583090829664158 " " relative error = 37.030040799025166 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.951000000001162 " " y[1] (analytic) = 44.78584680392855 " " y[1] (numeric) = 61.38684597108037 " " absolute error = 16.60099916715182 " " relative error = 37.06751206431493 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.952000000001163 " " y[1] (analytic) = 44.7888890141713 " " y[1] (numeric) = 61.40779747108037 " " absolute error = 16.618908456909068 " " relative error = 37.10498032592594 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.953000000001165 " " y[1] (analytic) = 44.79193127214220 " " y[1] (numeric) = 61.42874997108037 " " absolute error = 16.63681869893818 " " relative error = 37.1424455843574 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.954000000001166 " " y[1] (analytic) = 44.79497357783897 " " y[1] (numeric) = 61.449703471080376 " " absolute error = 16.65472989324141 " " relative error = 37.17990784010834 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.955000000001167 " " y[1] (analytic) = 44.798015931259314 " " y[1] (numeric) = 61.47065797108038 " " absolute error = 16.672642039821064 " " relative error = 37.21736709367785 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.95600000000117 " " y[1] (analytic) = 44.801058332400984 " " y[1] (numeric) = 61.49161347108038 " " absolute error = 16.690555138679393 " " relative error = 37.25482334556472 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.95700000000117 " " y[1] (analytic) = 44.80410078126165 " " y[1] (numeric) = 61.51256997108038 " " absolute error = 16.70846918981873 " " relative error = 37.29227659626792 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.95800000000117 " " y[1] (analytic) = 44.807143277839096 " " y[1] (numeric) = 61.53352747108038 " " absolute error = 16.726384193241287 " " relative error = 37.3297268462859 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.959000000001172 " " y[1] (analytic) = 44.81018582213102 " " y[1] (numeric) = 61.55448597108038 " " absolute error = 16.744300148949364 " " relative error = 37.36717409611729 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.960000000001173 " " y[1] (analytic) = 44.813228414135125 " " y[1] (numeric) = 61.575445471080386 " " absolute error = 16.76221705694526 " " relative error = 37.40461834626061 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.961000000001174 " " y[1] (analytic) = 44.816271053849164 " " y[1] (numeric) = 61.59640597108039 " " absolute error = 16.780134917231223 " " relative error = 37.44205959721412 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.962000000001176 " " y[1] (analytic) = 44.819313741270854 " " y[1] (numeric) = 61.617367471080385 " " absolute error = 16.79805372980953 " " relative error = 37.47949784947604 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.963000000001177 " " y[1] (analytic) = 44.822356476397914 " " y[1] (numeric) = 61.63832997108039 " " absolute error = 16.815973494682474 " " relative error = 37.51693310354455 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.964000000001178 " " y[1] (analytic) = 44.825399259228064 " " y[1] (numeric) = 61.65929347108039 " " absolute error = 16.833894211852325 " " relative error = 37.55436535991765 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.96500000000118 " " y[1] (analytic) = 44.82844208975904 " " y[1] (numeric) = 61.68025797108039 " " absolute error = 16.85181588132135 " " relative error = 37.5917946190932 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.96600000000118 " " y[1] (analytic) = 44.831484967988565 " " y[1] (numeric) = 61.70122347108039 " " absolute error = 16.869738503091824 " " relative error = 37.629220881569005 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.967000000001182 " " y[1] (analytic) = 44.834527893914355 " " y[1] (numeric) = 61.72218997108039 " " absolute error = 16.887662077166034 " " relative error = 37.66664414784279 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.968000000001183 " " y[1] (analytic) = 44.83757086753414 " " y[1] (numeric) = 61.743157471080394 " " absolute error = 16.905586603546254 " " relative error = 37.704064418412116 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.969000000001184 " " y[1] (analytic) = 44.84061388884564 " " y[1] (numeric) = 61.7641259710804 " " absolute error = 16.92351208223476 " " relative error = 37.741481693774446 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.970000000001185 " " y[1] (analytic) = 44.8436569578466 " " y[1] (numeric) = 61.785095471080396 " " absolute error = 16.9414385132338 " " relative error = 37.77889597442708 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.971000000001187 " " y[1] (analytic) = 44.84670007453472 " " y[1] (numeric) = 61.8060659710804 " " absolute error = 16.959365896545677 " " relative error = 37.81630726086735 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.972000000001188 " " y[1] (analytic) = 44.84974323890775 " " y[1] (numeric) = 61.8270374710804 " " absolute error = 16.977294232172653 " " relative error = 37.853715553592345 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.97300000000119 " " y[1] (analytic) = 44.85278645096340 " " y[1] (numeric) = 61.8480099710804 " " absolute error = 16.99522352011701 " " relative error = 37.891120853099125 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.97400000000119 " " y[1] (analytic) = 44.85582971069939 " " y[1] (numeric) = 61.868983471080405 " " absolute error = 17.013153760381016 " " relative error = 37.928523159884605 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.97500000000119 " " y[1] (analytic) = 44.85887301811346 " " y[1] (numeric) = 61.889957971080406 " " absolute error = 17.03108495296695 " " relative error = 37.9659224744456 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.976000000001193 " " y[1] (analytic) = 44.86191637320334 " " y[1] (numeric) = 61.910933471080405 " " absolute error = 17.049017097877062 " " relative error = 38.00331879727876 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.977000000001194 " " y[1] (analytic) = 44.86495977596675 " " y[1] (numeric) = 61.93190997108041 " " absolute error = 17.066950195113655 " " relative error = 38.04071212888075 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.978000000001195 " " y[1] (analytic) = 44.86800322640142 " " y[1] (numeric) = 61.95288747108041 " " absolute error = 17.08488424467899 " " relative error = 38.07810246974804 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.979000000001196 " " y[1] (analytic) = 44.87104672450509 " " y[1] (numeric) = 61.97386597108041 " " absolute error = 17.102819246575315 " " relative error = 38.115489820376936 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.980000000001198 " " y[1] (analytic) = 44.87409027027546 " " y[1] (numeric) = 61.99484547108041 " " absolute error = 17.12075520080495 " " relative error = 38.15287418126383 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.9810000000012 " " y[1] (analytic) = 44.877133863710256 " " y[1] (numeric) = 62.01582597108041 " " absolute error = 17.138692107370154 " " relative error = 38.190255552904866 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.9820000000012 " " y[1] (analytic) = 44.88017750480724 " " y[1] (numeric) = 62.03680747108041 " " absolute error = 17.156629966273165 " " relative error = 38.22763393579598 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.9830000000012 " " y[1] (analytic) = 44.88322119356414 " " y[1] (numeric) = 62.05778997108041 " " absolute error = 17.17456877751627 " " relative error = 38.26500933043316 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.984000000001203 " " y[1] (analytic) = 44.88626492997865 " " y[1] (numeric) = 62.07877347108041 " " absolute error = 17.19250854110176 " " relative error = 38.3023817373123 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.985000000001204 " " y[1] (analytic) = 44.889308714048525 " " y[1] (numeric) = 62.099757971080415 " " absolute error = 17.21044925703189 " " relative error = 38.33975115692909 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.986000000001205 " " y[1] (analytic) = 44.89235254577148 " " y[1] (numeric) = 62.12074347108042 " " absolute error = 17.228390925308936 " " relative error = 38.377117589779154 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.987000000001206 " " y[1] (analytic) = 44.89539642514525 " " y[1] (numeric) = 62.141729971080416 " " absolute error = 17.246333545935165 " " relative error = 38.41448103635799 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.988000000001207 " " y[1] (analytic) = 44.898440352167555 " " y[1] (numeric) = 62.16271747108042 " " absolute error = 17.264277118912865 " " relative error = 38.45184149716105 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.98900000000121 " " y[1] (analytic) = 44.90148432683614 " " y[1] (numeric) = 62.18370597108042 " " absolute error = 17.28222164424428 " " relative error = 38.489198972683546 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.99000000000121 " " y[1] (analytic) = 44.90452834914873 " " y[1] (numeric) = 62.20469547108042 " " absolute error = 17.300167121931693 " " relative error = 38.52655346342071 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.99100000000121 " " y[1] (analytic) = 44.90757241910306 " " y[1] (numeric) = 62.22568597108042 " " absolute error = 17.318113551977362 " " relative error = 38.563904969867565 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.992000000001212 " " y[1] (analytic) = 44.910616536696836 " " y[1] (numeric) = 62.246677471080424 " " absolute error = 17.33606093438359 " " relative error = 38.60125349251919 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.993000000001214 " " y[1] (analytic) = 44.913660701927824 " " y[1] (numeric) = 62.26766997108042 " " absolute error = 17.3540092691526 " " relative error = 38.63859903187030 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.994000000001215 " " y[1] (analytic) = 44.91670491479375 " " y[1] (numeric) = 62.288663471080426 " " absolute error = 17.37195855628668 " " relative error = 38.67594158841571 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.995000000001216 " " y[1] (analytic) = 44.919749175292324 " " y[1] (numeric) = 62.309657971080426 " " absolute error = 17.389908795788102 " " relative error = 38.71328116265007 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.996000000001217 " " y[1] (analytic) = 44.92279348342127 " " y[1] (numeric) = 62.330653471080424 " " absolute error = 17.40785998765915 " " relative error = 38.75061775506795 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.99700000000122 " " y[1] (analytic) = 44.92583783917834 " " y[1] (numeric) = 62.35164997108043 " " absolute error = 17.425812131902084 " " relative error = 38.787951366163746 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.99800000000122 " " y[1] (analytic) = 44.928882242561265 " " y[1] (numeric) = 62.37264747108043 " " absolute error = 17.443765228519162 " " relative error = 38.825281996431755 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 20.99900000000122 " " y[1] (analytic) = 44.93192669356779 " " y[1] (numeric) = 62.39364597108043 " " absolute error = 17.461719277512643 " " relative error = 38.86260964636615 "%" h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 21.000000000001222 " " y[1] (analytic) = 44.934971192195604 " " y[1] (numeric) = 62.41464547108043 " " absolute error = 17.47967427888483 " " relative error = 38.89993431646115 "%" h = 1.000E-3 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 1 ) = log ( x ) ;" Iterations = 1000 "Total Elapsed Time "= 3 Minutes 12 Seconds "Elapsed Time(since restart) "= 3 Minutes 12 Seconds "Expected Time Remaining "= 28 Minutes 51 Seconds "Optimized Time Remaining "= 28 Minutes 50 Seconds "Time to Timeout "= 11 Minutes 47 Seconds Percent Done = 10.010000000012234 "%" (%o51) true (%o51) diffeq.max