(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac (%i3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%o3) display_alot(iter) := if iter >= 0 then (ind_var : array_x , omniout_float(ALWAYS, 1 "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : abs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, abserr 100.0 20, " "), if abs(analytic_val_y) # 0.0 then relerr : ------------------- abs(analytic_val_y) else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")) (%i4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%o4) adjust_for_pole(h_param) := block(hnew : h_param, glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, if tmp < glob_normmax ! 1, 1! then glob_normmax : tmp), if glob_look_poles and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float) ! 1! 1 array_pole 1 then (sz2 : -----------, if sz2 < hnew 10.0 then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2) 1 (%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 2 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 2 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 2 + n, while (m >= 10) and ((!array_y_higher ! < glob_small_float) ! 1, m! or (!array_y_higher ! < glob_small_float) ! 1, m - 1! or (!array_y_higher ! < glob_small_float)) do m : m - 1, ! 1, m - 2! array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1, glob_h if abs(hdrc) > glob_small_float then (rcs : ------, hdrc convfloat(m - 1) rm0 ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs, hdrc 1, 1 array_real_pole : ord_no) else (array_real_pole : glob_large_float, 1, 2 1, 1 array_real_pole : glob_large_float)) 1, 2 else (array_real_pole : glob_large_float, 1, 1 array_real_pole : glob_large_float), n : - 1 - 2 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 3 2 then (temporary : array_tmp2 glob_h factorial_3(0, 2), 1 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 2 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 3, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 4 2 then (temporary : array_tmp2 glob_h factorial_3(1, 3), 2 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 3, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 5 2 then (temporary : array_tmp2 glob_h factorial_3(2, 4), 3 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 3, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 6 2 then (temporary : array_tmp2 glob_h factorial_3(3, 5), 4 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 3, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 7 2 then (temporary : array_tmp2 glob_h factorial_3(4, 6), 5 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 3, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 2, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : sin(array_x ), 1 1 array_tmp1_g : cos(array_x ), array_tmp2 : array_tmp1 + array_const_0D0 , 1 1 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 3 2 then (temporary : array_tmp2 glob_h factorial_3(0, 2), 1 array_y : temporary, array_y_higher : temporary, 3 1, 3 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 2 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 2, glob_h 3, 1 array_tmp1 : att(1, array_tmp1_g, array_x, 1), 2 array_tmp1_g : - att(1, array_tmp1, array_x, 1), 2 array_tmp2 : array_tmp1 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 4 2 then (temporary : array_tmp2 glob_h factorial_3(1, 3), 2 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 3 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 3, 2 array_tmp1 : att(2, array_tmp1_g, array_x, 1), 3 array_tmp1_g : - att(2, array_tmp1, array_x, 1), 3 array_tmp2 : array_tmp1 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 5 2 then (temporary : array_tmp2 glob_h factorial_3(2, 4), 3 array_y : temporary, array_y_higher : temporary, 5 1, 5 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 3, 3 array_tmp1 : att(3, array_tmp1_g, array_x, 1), 4 array_tmp1_g : - att(3, array_tmp1, array_x, 1), 4 array_tmp2 : array_tmp1 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 6 2 then (temporary : array_tmp2 glob_h factorial_3(3, 5), 4 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 5 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 3, 4 array_tmp1 : att(4, array_tmp1_g, array_x, 1), 5 array_tmp1_g : - att(4, array_tmp1, array_x, 1), 5 array_tmp2 : array_tmp1 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 7 2 then (temporary : array_tmp2 glob_h factorial_3(4, 6), 5 array_y : temporary, array_y_higher : temporary, 7 1, 7 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 6 temporary 3.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 3, 5 while kkk <= glob_max_terms do (array_tmp1 : kkk att(kkk - 1, array_tmp1_g, array_x, 1), array_tmp1_g : - att(kkk - 1, array_tmp1, array_x, 1), kkk array_tmp2 : array_tmp1 + array_const_0D0 , order_d : 2, kkk kkk kkk if 1 + order_d + kkk <= glob_max_terms then (if not array_y_set_initial 1, order_d + kkk order_d array_tmp2 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) log(x) (%i9) log10(x) := --------- log(10.0) log(x) (%o9) log10(x) := --------- log(10.0) (%i10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o10) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o11) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o12) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o13) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o14) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o15) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%o16) dump_series(iolevel, dump_label, series_name, array_series, numb) := if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i)) i (%i17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%o17) dump_series_2(iolevel, dump_label, series_name, array_series2, numb, subnum) := if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)) sub, i (%i18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o18) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%o19) logitem_time(fd, secs_in) := (secs : secs_in, printf(fd, ""), if secs >= 0.0 then (sec_in_millinium : sec_in_min min_in_hour hours_in_day days_in_year years_in_century secs centuries_in_millinium, milliniums : ----------------, sec_in_millinium millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) centuries_in_millinium, cent_int : floor(centuries), years : (centuries - cent_int) years_in_century, years_int : floor(years), days : (years - years_int) days_in_year, days_int : floor(days), hours : (days - days_int) hours_in_day, hours_int : floor(hours), minutes : (hours - hours_int) min_in_hour, minutes_int : floor(minutes), seconds : (minutes - minutes_int) sec_in_min, sec_int : floor(seconds), if millinium_int > 0 then printf(fd, "~d Millinia ~d\ Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(fd, "~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(fd, "~d Years ~d Days ~d Hours ~d Minutes ~d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "~d Hours ~d Minutes ~d Seconds", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "~d Minutes ~d Seconds", minutes_int, sec_int) else printf(fd, "~d Seconds", sec_int)) else printf(fd, "Unknown"), printf(fd, "")) (%i20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o20) omniout_timestr(secs_in) := (secs : convfloat(secs_in), if secs >= convfloat(0.0) then (sec_in_millinium : convfloat(sec_in_min) convfloat(min_in_hour) convfloat(hours_in_day) convfloat(days_in_year) convfloat(years_in_century) secs convfloat(centuries_in_millinium), milliniums : ---------------------------, convfloat(sec_in_millinium) millinium_int : floor(milliniums), centuries : (milliniums - millinium_int) convfloat(centuries_in_millinium), cent_int : floor(centuries), years : (centuries - cent_int) convfloat(years_in_century), years_int : floor(years), days : (years - years_int) convfloat(days_in_year), days_int : floor(days), hours : (days - days_int) convfloat(hours_in_day), hours_int : floor(hours), minutes : (hours - hours_int) convfloat(min_in_hour), minutes_int : floor(minutes), seconds : (minutes - minutes_int) convfloat(sec_in_min), sec_int : floor(seconds), if millinium_int > 0 then printf(true, "= ~d Millinia ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", millinium_int, cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif cent_int > 0 then printf(true, "= ~d Centuries ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", cent_int, years_int, days_int, hours_int, minutes_int, sec_int) elseif years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i21) mode_declare(ats, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o21) [ats] (%i22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o22) ats(mmm_ats, array_a, array_b, jjj_ats) := (ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : array_a array_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i23) mode_declare(att, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o23) [att] (%i24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o24) att(mmm_att, array_aa, array_bb, jjj_att) := (ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : array_aa array_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%o25) display_pole() := if (array_pole # glob_large_float) 1 and (array_pole > 0.0) and (array_pole # glob_large_float) 1 2 and (array_pole > 0.0) and glob_display_flag 2 then (omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole , 4, " "), omniout_float(ALWAYS, 1 "Order of pole ", 4, array_pole , 4, " ")) 2 (%i26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o26) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o27) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o28) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i29) log_revs(file, revs) := printf(file, revs) (%o29) log_revs(file, revs) := printf(file, revs) (%i30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o30) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%o31) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") else printf(file, "No Pole"), printf(file, "")) (%i32) logstart(file) := printf(file, "") (%o32) logstart(file) := printf(file, "") (%i33) logend(file) := printf(file, "~%") (%o33) logend(file) := printf(file, "~%") (%i34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o34) chk_data() := (errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i35) mode_declare(comp_expect_sec, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o35) [comp_expect_sec] (%i36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o36) comp_expect_sec(t_end2, t_start2, t2, clock_sec) := (ms2 : clock_sec, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if abs(sub2) > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i37) mode_declare(comp_percent, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o37) [comp_percent] (%i38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o38) comp_percent(t_end2, t_start2, t2) := (sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if abs(sub2) > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i39) mode_declare(factorial_1, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o39) [factorial_1] (%i40) factorial_1(nnn) := nnn! (%o40) factorial_1(nnn) := nnn! (%i41) mode_declare(factorial_3, bfloat) modedeclare: bfloat is not a built-in type; assuming it is a Maxima extension type. (%o41) [factorial_3] mmm2! (%i42) factorial_3(mmm2, nnn2) := ----- nnn2! mmm2! (%o42) factorial_3(mmm2, nnn2) := ----- nnn2! (%i43) convfp(mmm) := mmm (%o43) convfp(mmm) := mmm (%i44) convfloat(mmm) := mmm (%o44) convfloat(mmm) := mmm (%i45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%o45) elapsed_time_seconds() := (t : elapsed_real_time(), t) (%i46) arcsin(x) := asin(x) (%o46) arcsin(x) := asin(x) (%i47) arccos(x) := acos(x) (%o47) arccos(x) := acos(x) (%i48) arctan(x) := atan(x) (%o48) arctan(x) := atan(x) (%i49) exact_soln_y(x) := 2.0 - cos(x) (%o49) exact_soln_y(x) := 2.0 - cos(x) (%i50) exact_soln_yp(x) := sin(x) (%o50) exact_soln_yp(x) := sin(x) (%i51) mainprog() := (define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(days_in_year, 365.0, float), define_variable(djd_debug, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_clock_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(sec_in_min, 60.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_hmax, 1.0, float), define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(glob_html_log, true, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_dump, false, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_display_flag, true, boolean), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/h2sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 2 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.0001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 3, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 3, 1 + max_terms), array(array_y_higher, 1 + 3, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1_g : 0.0, term : 1 + term), ord : 1, term while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_2, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_2 : 0.0, term : 1 + term), term array_const_2 : 2, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 0.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), 1 + 0 array_y_init : exact_soln_yp(x_start), glob_h : 1.0E-5, 1 + 1 glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : true, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 2, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h term_no -------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, term_no - 1 array_y_init glob_h it array_y_higher : --------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (omniout_str (INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 3, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 3, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 3, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 2 ) = sin(x);"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-13T13:49:38-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h2sin"), logitem_str(html_log_file, "diff ( y , x , 2 ) = sin(x);"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "h2sin diffeq.max"), logitem_str(html_log_file, "h2sin maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%o51) mainprog() := (define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_last_good_h, 0.1, float), define_variable(days_in_year, 365.0, float), define_variable(djd_debug, true, boolean), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_clock_sec, 0.0, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_optimal_done, false, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(sec_in_min, 60.0, float), define_variable(djd_debug2, true, boolean), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_hmax, 1.0, float), define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_almost_1, 0.999, float), define_variable(glob_html_log, true, boolean), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_dump, false, boolean), define_variable(glob_max_minutes, 0.0, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(hours_in_day, 24.0, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(years_in_century, 100.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_warned2, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin_init, 0.001, float), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_display_flag, true, boolean), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/h2sinpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 2 ) = sin(x);"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), omniout_str(ALWAYS, "x_end : 5.0 ,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "array_y_init[1 + 1] : exact_soln_yp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.00001,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 100,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_h : 0.0001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 1000,"), omniout_str(ALWAYS, "glob_max_minutes : 15,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := ("), omniout_str(ALWAYS, "2.0 - cos(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yp (x) := ("), omniout_str(ALWAYS, "sin(x) "), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0, glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y_init, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp1_g, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_y_higher_work, 1 + 3, 1 + max_terms), array(array_complex_pole, 1 + 1, 1 + 3), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 3, 1 + max_terms), array(array_y_higher, 1 + 3, 1 + max_terms), term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_1st_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_norms : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_type_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_y : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_x : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_tmp1_g : 0.0, term : 1 + term), ord : 1, term while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 3 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1_g, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1_g : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_const_0D0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_const_2, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_2 : 0.0, term : 1 + term), term array_const_2 : 2, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, x_start : 0.1, x_end : 5.0, 1 array_y_init : exact_soln_y(x_start), 1 + 0 array_y_init : exact_soln_yp(x_start), glob_h : 1.0E-5, 1 + 1 glob_look_poles : true, glob_max_iter : 100, glob_h : 1.0E-4, glob_look_poles : true, glob_max_iter : 1000, glob_max_minutes : 15, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), glob_log10_abserr glob_log10_relerr glob_abserr : 10.0 , glob_relerr : 10.0 , chk_data(), array_y_set_initial : true, array_y_set_initial : true, 1, 1 1, 2 array_y_set_initial : false, array_y_set_initial : false, 1, 3 1, 4 array_y_set_initial : false, array_y_set_initial : false, 1, 5 1, 6 array_y_set_initial : false, array_y_set_initial : false, 1, 7 1, 8 array_y_set_initial : false, array_y_set_initial : false, 1, 9 1, 10 array_y_set_initial : false, array_y_set_initial : false, 1, 11 1, 12 array_y_set_initial : false, array_y_set_initial : false, 1, 13 1, 14 array_y_set_initial : false, array_y_set_initial : false, 1, 15 1, 16 array_y_set_initial : false, array_y_set_initial : false, 1, 17 1, 18 array_y_set_initial : false, array_y_set_initial : false, 1, 19 1, 20 array_y_set_initial : false, array_y_set_initial : false, 1, 21 1, 22 array_y_set_initial : false, array_y_set_initial : false, 1, 23 1, 24 array_y_set_initial : false, array_y_set_initial : false, 1, 25 1, 26 array_y_set_initial : false, array_y_set_initial : false, 1, 27 1, 28 array_y_set_initial : false, array_y_set_initial : false, 1, 29 1, 30 if glob_html_log then html_log_file : openw("html/entry.html"), omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, order_diff : 2, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no term_no - 1 array_y_init glob_h term_no -------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, term_no - 1 array_y_init glob_h it array_y_higher : --------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), start_array_y(), if !array_y_higher ! > glob_small_float ! 1, 1! then (tmp : !array_y_higher !, log10norm : log10(tmp), ! 1, 1! if log10norm < glob_log10normmin then glob_log10normmin : log10norm), display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < 1 convfloat(glob_max_sec)) do (omniout_str (INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), if glob_look_poles then check_for_pole(), array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 3, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 3, iii array_y_higher 3, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 3, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 2, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 3, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 3, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term calc_term - 1 temp_sum glob_h ----------------------------, term_no : glob_max_terms, convfp(calc_term - 1)! while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1), ord, term_no display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 2 ) = sin(x);"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2012-06-13T13:49:38-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "h2sin"), logitem_str(html_log_file, "diff ( y , x , 2 ) = sin(x);"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_integer(html_log_file, glob_max_terms), logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_pole(html_log_file, array_type_pole ), 1 if (array_type_pole = 1) or (array_type_pole = 2) 1 1 then (logitem_float(html_log_file, array_pole ), 1 logitem_float(html_log_file, array_pole ), 0) 2 else (logitem_str(html_log_file, "NA"), logitem_str(html_log_file, "NA"), 0), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_optimal_expect_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 090 "), logitem_str(html_log_file, "h2sin diffeq.max"), logitem_str(html_log_file, "h2sin maxima results"), logitem_str(html_log_file, "Test of revised logic - mostly affecting systems of eqs"), logend(html_log_file)), if glob_html_log then close(html_log_file)) (%i52) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/h2sinpostode.ode#################" "diff ( y , x , 2 ) = sin(x);" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 50," "max_terms : 30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start : 0.1," "x_end : 5.0 ," "array_y_init[0 + 1] : exact_soln_y(x_start)," "array_y_init[1 + 1] : exact_soln_yp(x_start)," "glob_h : 0.00001," "glob_look_poles : true," "glob_max_iter : 100," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_h : 0.0001 ," "glob_look_poles : true," "glob_max_iter : 1000," "glob_max_minutes : 15," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (" "2.0 - cos(x) " ");" "exact_soln_yp (x) := (" "sin(x) " ");" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" x[1] = 0.1 " " y[1] (analytic) = 1.0049958347219743 " " y[1] (numeric) = 1.0049958347219743 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10010000000000001 " " y[1] (analytic) = 1.0050058230386432 " " y[1] (numeric) = 1.005005818562972 " " absolute error = 4.475671167014639000000000E-9 " " relative error = 4.45337834310492950000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10020000000000001 " " y[1] (analytic) = 1.0050158213052538 " " y[1] (numeric) = 1.0050158034032988 " " absolute error = 1.79019550294867700000000E-8 " " relative error = 1.7812610159944342000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10030000000000001 " " y[1] (analytic) = 1.0050258295217063 " " y[1] (numeric) = 1.0050257892439496 " " absolute error = 4.02777566854695100000000E-8 " " relative error = 4.007633983361181000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10040000000000002 " " y[1] (analytic) = 1.0050358476879002 " " y[1] (numeric) = 1.0050357760859197 " " absolute error = 7.16019805668821600000000E-8 " " relative error = 7.124321060945595000000E-6 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10050000000000002 " " y[1] (analytic) = 1.0050458758037357 " " y[1] (numeric) = 1.0050457639302037 " " absolute error = 1.11873531993822440000000E-7 " " relative error = 1.113118661417889200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10060000000000002 " " y[1] (analytic) = 1.0050559138691129 " " y[1] (numeric) = 1.005055752777797 " " absolute error = 1.61091315842298850000000E-7 " " relative error = 1.602809491684435700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10070000000000003 " " y[1] (analytic) = 1.0050659618839304 " " y[1] (numeric) = 1.0050657426296943 " " absolute error = 2.1925423610014150000000E-7 " " relative error = 2.18149101069111700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10080000000000003 " " y[1] (analytic) = 1.0050760198480884 " " y[1] (numeric) = 1.0050757334868905 " " absolute error = 2.8636119786540350000000E-7 " " relative error = 2.84914963853863900000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10090000000000003 " " y[1] (analytic) = 1.0050860877614864 " " y[1] (numeric) = 1.0050857253503807 " " absolute error = 3.6241110579204870000000E-7 " " relative error = 3.605771786168144300000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10100000000000003 " " y[1] (analytic) = 1.0050961656240234 " " y[1] (numeric) = 1.0050957182211595 " " absolute error = 4.4740286386790730000000E-7 " " relative error = 4.45134385315392200000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10110000000000004 " " y[1] (analytic) = 1.0051062534355988 " " y[1] (numeric) = 1.005105712100222 " " absolute error = 5.4133537674694310000000E-7 " " relative error = 5.385852240960399000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10120000000000004 " " y[1] (analytic) = 1.0051163511961114 " " y[1] (numeric) = 1.0051157069885632 " " absolute error = 6.4420754819494160000000E-7 " " relative error = 6.40928333747948700000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10130000000000004 " " y[1] (analytic) = 1.0051264589054607 " " y[1] (numeric) = 1.0051257028871778 " " absolute error = 7.5601828286586680000000E-7 " " relative error = 7.52162353470565400000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10140000000000005 " " y[1] (analytic) = 1.0051365765635454 " " y[1] (numeric) = 1.0051356997970609 " " absolute error = 8.7676648452550410000000E-7 " " relative error = 8.72285921106438100000E-5 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10150000000000005 " " y[1] (analytic) = 1.0051467041702642 " " y[1] (numeric) = 1.005145697719207 " " absolute error = 1.0064510571616836000000E-6 " " relative error = 1.0012976742459660000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10160000000000005 " " y[1] (analytic) = 1.0051568417255161 " " y[1] (numeric) = 1.0051556966546114 " " absolute error = 1.1450709047622354000000E-6 " " relative error = 1.13919625000664950000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10170000000000005 " " y[1] (analytic) = 1.0051669892291994 " " y[1] (numeric) = 1.0051656966042686 " " absolute error = 1.2926249308709004000000E-6 " " relative error = 1.28598028459145340000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10180000000000006 " " y[1] (analytic) = 1.0051771466812132 " " y[1] (numeric) = 1.0051756975691737 " " absolute error = 1.4491120394755086000000E-6 " " relative error = 1.44164841417259880000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10190000000000006 " " y[1] (analytic) = 1.005187314081455 " " y[1] (numeric) = 1.0051856995503214 " " absolute error = 1.6145311334536672000000E-6 " " relative error = 1.60619927334541970000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000006 " " y[1] (analytic) = 1.0051974914298238 " " y[1] (numeric) = 1.0051957025487066 " " absolute error = 1.7888811172372954000000E-6 " " relative error = 1.77963149777934260000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10210000000000007 " " y[1] (analytic) = 1.0052076787262179 " " y[1] (numeric) = 1.005205706565324 " " absolute error = 1.972160893926045000000E-6 " " relative error = 1.96194372134635250000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10220000000000007 " " y[1] (analytic) = 1.005217875970535 " " y[1] (numeric) = 1.0052157116011684 " " absolute error = 2.1643693666195674000000E-6 " " relative error = 2.15313457744658100000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10230000000000007 " " y[1] (analytic) = 1.0052280831626734 " " y[1] (numeric) = 1.0052257176572346 " " absolute error = 2.3655054388616037000000E-6 " " relative error = 2.353202699450250000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10240000000000007 " " y[1] (analytic) = 1.0052383003025311 " " y[1] (numeric) = 1.0052357247345174 " " absolute error = 2.5755680137518056000000E-6 " " relative error = 2.5621467198142733000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10250000000000008 " " y[1] (analytic) = 1.0052485273900056 " " y[1] (numeric) = 1.0052457328340116 " " absolute error = 2.7945559939457354000000E-6 " " relative error = 2.77996527008244340000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10260000000000008 " " y[1] (analytic) = 1.0052587644249948 " " y[1] (numeric) = 1.005255741956712 " " absolute error = 3.0224682827650895000000E-6 " " relative error = 3.0066569819900380000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10270000000000008 " " y[1] (analytic) = 1.0052690114073966 " " y[1] (numeric) = 1.0052657521036132 " " absolute error = 3.2593037833095195000000E-6 " " relative error = 3.24222048658043200000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10280000000000009 " " y[1] (analytic) = 1.005279268337108 " " y[1] (numeric) = 1.00527576327571 " " absolute error = 3.5050613977904990000000E-6 " " relative error = 3.48665441354264600000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10290000000000009 " " y[1] (analytic) = 1.0052895352140268 " " y[1] (numeric) = 1.0052857754739972 " " absolute error = 3.7597400295297234000000E-6 " " relative error = 3.73995739319943570000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000009 " " y[1] (analytic) = 1.00529981203805 " " y[1] (numeric) = 1.0052957886994693 " " absolute error = 4.023338580738667000000E-6 " " relative error = 4.00212805429867650000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1031000000000001 " " y[1] (analytic) = 1.0053100988090755 " " y[1] (numeric) = 1.0053058029531212 " " absolute error = 4.295855954294936000000E-6 " " relative error = 4.2731650257805560000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1032000000000001 " " y[1] (analytic) = 1.0053203955269998 " " y[1] (numeric) = 1.0053158182359476 " " absolute error = 4.5772910521879595000000E-6 " " relative error = 4.55306693523162200000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1033000000000001 " " y[1] (analytic) = 1.0053307021917202 " " y[1] (numeric) = 1.005325834548943 " " absolute error = 4.8676427770733000000E-6 " " relative error = 4.84183241043107340000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1034000000000001 " " y[1] (analytic) = 1.0053410188031333 " " y[1] (numeric) = 1.0053358518931024 " " absolute error = 5.166910030940386000000E-6 " " relative error = 5.1394600780256970000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1035000000000001 " " y[1] (analytic) = 1.0053513453611367 " " y[1] (numeric) = 1.0053458702694202 " " absolute error = 5.47509171644478000000E-6 " " relative error = 5.4459485648552530000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10360000000000011 " " y[1] (analytic) = 1.0053616818656264 " " y[1] (numeric) = 1.0053558896788912 " " absolute error = 5.792186735131821000000E-6 " " relative error = 5.7612964961857260000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10370000000000011 " " y[1] (analytic) = 1.005372028316499 " " y[1] (numeric) = 1.0053659101225099 " " absolute error = 6.118193989212983000000E-6 " " relative error = 6.0855024974764140000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10380000000000011 " " y[1] (analytic) = 1.0053823847136516 " " y[1] (numeric) = 1.005375931601271 " " absolute error = 6.453112380677695000000E-6 " " relative error = 6.4185651934966410000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10390000000000012 " " y[1] (analytic) = 1.0053927510569802 " " y[1] (numeric) = 1.0053859541161692 " " absolute error = 6.796940811071295000000E-6 " " relative error = 6.7604832081050880000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000012 " " y[1] (analytic) = 1.0054031273463815 " " y[1] (numeric) = 1.0053959776681989 " " absolute error = 7.149678182605257000000E-6 " " relative error = 7.1112551653542340000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10410000000000012 " " y[1] (analytic) = 1.0054135135817512 " " y[1] (numeric) = 1.0054060022583549 " " absolute error = 7.511323396380831000000E-6 " " relative error = 7.4708796877237090000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10420000000000013 " " y[1] (analytic) = 1.0054239097629862 " " y[1] (numeric) = 1.0054160278876316 " " absolute error = 7.881875354609491000000E-6 " " relative error = 7.8393553983289770000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10430000000000013 " " y[1] (analytic) = 1.0054343158899819 " " y[1] (numeric) = 1.005426054557024 " " absolute error = 8.261332957948397000000E-6 " " relative error = 8.2166809182713250000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10440000000000013 " " y[1] (analytic) = 1.0054447319626343 " " y[1] (numeric) = 1.0054360822675261 " " absolute error = 8.649695108164934000000E-6 " " relative error = 8.6028548692882170000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10450000000000013 " " y[1] (analytic) = 1.0054551579808395 " " y[1] (numeric) = 1.005446111020133 " " absolute error = 9.046960706582396000000E-6 " " relative error = 8.997875872207520000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10460000000000014 " " y[1] (analytic) = 1.005465593944493 " " y[1] (numeric) = 1.005456140815839 " " absolute error = 9.45312865407999000000E-6 " " relative error = 9.401742546947710000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10470000000000014 " " y[1] (analytic) = 1.0054760398534905 " " y[1] (numeric) = 1.0054661716556383 " " absolute error = 9.868197852203053000000E-6 " " relative error = 9.8144535136222280000E-4 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10480000000000014 " " y[1] (analytic) = 1.0054864957077276 " " y[1] (numeric) = 1.005476203540526 " " absolute error = 1.029216720160874800000E-5 " " relative error = 1.0236007390993793000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10490000000000015 " " y[1] (analytic) = 1.0054969615071 " " y[1] (numeric) = 1.0054862364714965 " " absolute error = 1.07250356036203700000E-5 " " relative error = 1.0666402798020426000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000015 " " y[1] (analytic) = 1.0055074372515027 " " y[1] (numeric) = 1.005496270449544 " " absolute error = 1.116680195867303400000E-5 " " relative error = 1.1105638352309805000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10510000000000015 " " y[1] (analytic) = 1.0055179229408306 " " y[1] (numeric) = 1.0055063054756632 " " absolute error = 1.161746516742390200000E-5 " " relative error = 1.155371267122359000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10520000000000015 " " y[1] (analytic) = 1.0055284185749798 " " y[1] (numeric) = 1.0055163415508486 " " absolute error = 1.207702413119626800000E-5 " " relative error = 1.2010624372319233000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10530000000000016 " " y[1] (analytic) = 1.0055389241538446 " " y[1] (numeric) = 1.0055263786760946 " " absolute error = 1.25454777499811600000E-5 " " relative error = 1.2476372071362736000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10540000000000016 " " y[1] (analytic) = 1.0055494396773201 " " y[1] (numeric) = 1.0055364168523957 " " absolute error = 1.302282492443573900000E-5 " " relative error = 1.295095438431625000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10550000000000016 " " y[1] (analytic) = 1.0055599651453013 " " y[1] (numeric) = 1.0055464560807466 " " absolute error = 1.350906455477307600000E-5 " " relative error = 1.3434369926234130000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10560000000000017 " " y[1] (analytic) = 1.005570500557683 " " y[1] (numeric) = 1.0055564963621413 " " absolute error = 1.400419554165033300000E-5 " " relative error = 1.3926617312146383000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10570000000000017 " " y[1] (analytic) = 1.0055810459143593 " " y[1] (numeric) = 1.0055665376975744 " " absolute error = 1.450821678483649200000E-5 " " relative error = 1.4427695155733963000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10580000000000017 " " y[1] (analytic) = 1.0055916012152253 " " y[1] (numeric) = 1.0055765800880405 " " absolute error = 1.50211271847666700000E-5 " " relative error = 1.4937602070874614000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10590000000000017 " " y[1] (analytic) = 1.005602166460175 " " y[1] (numeric) = 1.0055866235345339 " " absolute error = 1.554292564120984800000E-5 " " relative error = 1.5456336670318220000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000018 " " y[1] (analytic) = 1.0056127416491036 " " y[1] (numeric) = 1.005596668038049 " " absolute error = 1.607361105460114500000E-5 " " relative error = 1.5983897567011770000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10610000000000018 " " y[1] (analytic) = 1.0056233267819046 " " y[1] (numeric) = 1.0056067135995803 " " absolute error = 1.661318232426545200000E-5 " " relative error = 1.6520283372333158000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10620000000000018 " " y[1] (analytic) = 1.005633921858472 " " y[1] (numeric) = 1.005616760220122 " " absolute error = 1.716163834997175300000E-5 " " relative error = 1.7065492697636941000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10630000000000019 " " y[1] (analytic) = 1.0056445268787004 " " y[1] (numeric) = 1.0056268079006685 " " absolute error = 1.77189780319331200000E-5 " " relative error = 1.7619524154254518000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10640000000000019 " " y[1] (analytic) = 1.0056551418424835 " " y[1] (numeric) = 1.0056368566422142 " " absolute error = 1.8285200269252400000E-5 " " relative error = 1.8182376351948712000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10650000000000019 " " y[1] (analytic) = 1.0056657667497153 " " y[1] (numeric) = 1.0056469064457534 " " absolute error = 1.88603039619206210000E-5 " " relative error = 1.8754047900901127000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1066000000000002 " " y[1] (analytic) = 1.0056764016002893 " " y[1] (numeric) = 1.0056569573122804 " " absolute error = 1.94442880088185900000E-5 " " relative error = 1.9334537409725172000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1067000000000002 " " y[1] (analytic) = 1.0056870463940992 " " y[1] (numeric) = 1.0056670092427897 " " absolute error = 2.00371513094932400000E-5 " " relative error = 1.9923843487232576000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1068000000000002 " " y[1] (analytic) = 1.0056977011310386 " " y[1] (numeric) = 1.0056770622382756 " " absolute error = 2.063889276304742300000E-5 " " relative error = 2.0521964741329612000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1069000000000002 " " y[1] (analytic) = 1.0057083658110013 " " y[1] (numeric) = 1.0056871162997323 " " absolute error = 2.124951126902807600000E-5 " " relative error = 2.112889977990042000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1070000000000002 " " y[1] (analytic) = 1.0057190404338798 " " y[1] (numeric) = 1.0056971714281542 " " absolute error = 2.18690057256498700000E-5 " " relative error = 2.1744647209040913000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10710000000000021 " " y[1] (analytic) = 1.0057297249995685 " " y[1] (numeric) = 1.0057072276245356 " " absolute error = 2.249737503290383200000E-5 " " relative error = 2.2369205636149897000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10720000000000021 " " y[1] (analytic) = 1.0057404195079596 " " y[1] (numeric) = 1.0057172848898706 " " absolute error = 2.313461808900463300000E-5 " " relative error = 2.3002573666396775000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10730000000000021 " " y[1] (analytic) = 1.0057511239589465 " " y[1] (numeric) = 1.0057273432251534 " " absolute error = 2.37807337930551200000E-5 " " relative error = 2.3644749905371043000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10740000000000022 " " y[1] (analytic) = 1.0057618383524223 " " y[1] (numeric) = 1.0057374026313786 " " absolute error = 2.443572104371405400000E-5 " " relative error = 2.4295732957757837000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10750000000000022 " " y[1] (analytic) = 1.0057725626882794 " " y[1] (numeric) = 1.0057474631095402 " " absolute error = 2.509957873919610400000E-5 " " relative error = 2.4955521427338095000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10760000000000022 " " y[1] (analytic) = 1.0057832969664111 " " y[1] (numeric) = 1.0057575246606325 " " absolute error = 2.57723057786041200000E-5 " " relative error = 2.5624113918313370000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10770000000000023 " " y[1] (analytic) = 1.00579404118671 " " y[1] (numeric) = 1.0057675872856497 " " absolute error = 2.645390106015277400000E-5 " " relative error = 2.6301509033539820000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10780000000000023 " " y[1] (analytic) = 1.005804795349068 " " y[1] (numeric) = 1.0057776509855862 " " absolute error = 2.714436348183469000000E-5 " " relative error = 2.698770537519076000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10790000000000023 " " y[1] (analytic) = 1.0058155594533784 " " y[1] (numeric) = 1.005787715761436 " " absolute error = 2.784369194230862400000E-5 " " relative error = 2.7682701545639826000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000023 " " y[1] (analytic) = 1.0058263334995332 " " y[1] (numeric) = 1.0057977816141934 " " absolute error = 2.85518853397892500000E-5 " " relative error = 2.838649614635736000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10810000000000024 " " y[1] (analytic) = 1.0058371174874245 " " y[1] (numeric) = 1.0058078485448525 " " absolute error = 2.926894257204715000000E-5 " " relative error = 2.909908777791061000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10820000000000024 " " y[1] (analytic) = 1.0058479114169447 " " y[1] (numeric) = 1.0058179165544074 " " absolute error = 2.999486253729699600000E-5 " " relative error = 2.9820475040846910000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10830000000000024 " " y[1] (analytic) = 1.0058587152879856 " " y[1] (numeric) = 1.0058279856438523 " " absolute error = 3.072964413330936400000E-5 " " relative error = 3.055065653481087000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10840000000000025 " " y[1] (analytic) = 1.0058695291004396 " " y[1] (numeric) = 1.0058380558141815 " " absolute error = 3.14732862580768800000E-5 " " relative error = 3.1289630859206760000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10850000000000025 " " y[1] (analytic) = 1.0058803528541982 " " y[1] (numeric) = 1.0058481270663888 " " absolute error = 3.22257878093701300000E-5 " " relative error = 3.2037396612757230000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10860000000000025 " " y[1] (analytic) = 1.0058911865491533 " " y[1] (numeric) = 1.0058581994014686 " " absolute error = 3.29871476847376500000E-5 " " relative error = 3.279395239350346700E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10870000000000025 " " y[1] (analytic) = 1.0059020301851964 " " y[1] (numeric) = 1.005868272820415 " " absolute error = 3.37573647815059300000E-5 " " relative error = 3.3559296798805416000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10880000000000026 " " y[1] (analytic) = 1.0059128837622193 " " y[1] (numeric) = 1.0058783473242219 " " absolute error = 3.453643799744554600000E-5 " " relative error = 3.4333428426004110000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10890000000000026 " " y[1] (analytic) = 1.0059237472801135 " " y[1] (numeric) = 1.0058884229138836 " " absolute error = 3.532436622988300000E-5 " " relative error = 3.5116345871538945000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000026 " " y[1] (analytic) = 1.00593462073877 " " y[1] (numeric) = 1.0058984995903941 " " absolute error = 3.61211483759227300000E-5 " " relative error = 3.590804773116859000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10910000000000027 " " y[1] (analytic) = 1.0059455041380803 " " y[1] (numeric) = 1.0059085773547476 " " absolute error = 3.69267833326691900000E-5 " " relative error = 3.6708532600191895000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10920000000000027 " " y[1] (analytic) = 1.0059563974779355 " " y[1] (numeric) = 1.005918656207938 " " absolute error = 3.77412699974488700000E-5 " " relative error = 3.7517799073668780000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10930000000000027 " " y[1] (analytic) = 1.0059673007582268 " " y[1] (numeric) = 1.0059287361509595 " " absolute error = 3.85646072673662130000E-5 " " relative error = 3.8335845745978970000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10940000000000027 " " y[1] (analytic) = 1.0059782139788451 " " y[1] (numeric) = 1.005938817184806 " " absolute error = 3.939679403908158400000E-5 " " relative error = 3.916267121060144600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10950000000000028 " " y[1] (analytic) = 1.0059891371396814 " " y[1] (numeric) = 1.0059488993104717 " " absolute error = 4.02378292096994270000E-5 " " relative error = 3.9998274060997550000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10960000000000028 " " y[1] (analytic) = 1.006000070240626 " " y[1] (numeric) = 1.0059589825289503 " " absolute error = 4.108771167565805600000E-5 " " relative error = 4.084265288950751000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10970000000000028 " " y[1] (analytic) = 1.00601101328157 " " y[1] (numeric) = 1.005969066841236 " " absolute error = 4.19464403340619200000E-5 " " relative error = 4.169580628867492000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10980000000000029 " " y[1] (analytic) = 1.006021966262404 " " y[1] (numeric) = 1.0059791522483228 " " absolute error = 4.28140140811272830000E-5 " " relative error = 4.255773284970198000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10990000000000029 " " y[1] (analytic) = 1.0060329291830183 " " y[1] (numeric) = 1.0059892387512048 " " absolute error = 4.36904318135145100000E-5 " " relative error = 4.342843116377388000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000029 " " y[1] (analytic) = 1.0060439020433032 " " y[1] (numeric) = 1.0059993263508757 " " absolute error = 4.45756924274398600000E-5 " " relative error = 4.430789982117618300E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1101000000000003 " " y[1] (analytic) = 1.0060548848431492 " " y[1] (numeric) = 1.0060094150483296 " " absolute error = 4.5469794819563700000E-5 " " relative error = 4.519613741217782000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1102000000000003 " " y[1] (analytic) = 1.0060658775824463 " " y[1] (numeric) = 1.0060195048445606 " " absolute error = 4.63727378856582100000E-5 " " relative error = 4.609314252570702600E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1103000000000003 " " y[1] (analytic) = 1.0060768802610844 " " y[1] (numeric) = 1.0060295957405625 " " absolute error = 4.728452052193965500000E-5 " " relative error = 4.699891375067576400E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1104000000000003 " " y[1] (analytic) = 1.0060878928789538 " " y[1] (numeric) = 1.0060396877373292 " " absolute error = 4.820514162462430400000E-5 " " relative error = 4.791344967553848300E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1105000000000003 " " y[1] (analytic) = 1.0060989154359445 " " y[1] (numeric) = 1.0060497808358546 " " absolute error = 4.913460008992842600000E-5 " " relative error = 4.883674888829227500E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11060000000000031 " " y[1] (analytic) = 1.0061099479319457 " " y[1] (numeric) = 1.0060598750371326 " " absolute error = 5.00728948131801100000E-5 " " relative error = 4.976880997559433000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11070000000000031 " " y[1] (analytic) = 1.0061209903668478 " " y[1] (numeric) = 1.0060699703421572 " " absolute error = 5.10200246905956300000E-5 " " relative error = 5.07096315245276000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11080000000000031 " " y[1] (analytic) = 1.0061320427405396 " " y[1] (numeric) = 1.0060800667519223 " " absolute error = 5.19759886172810300000E-5 " " relative error = 5.1659212120614830000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11090000000000032 " " y[1] (analytic) = 1.006143105052911 " " y[1] (numeric) = 1.0060901642674216 " " absolute error = 5.29407854894525800000E-5 " " relative error = 5.261755035002553000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000032 " " y[1] (analytic) = 1.0061541773038516 " " y[1] (numeric) = 1.0061002628896492 " " absolute error = 5.391441420243837000000E-5 " " relative error = 5.358464479759009000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11110000000000032 " " y[1] (analytic) = 1.0061652594932502 " " y[1] (numeric) = 1.0061103626195986 " " absolute error = 5.48968736515664800000E-5 " " relative error = 5.456049404768258000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11120000000000033 " " y[1] (analytic) = 1.0061763516209963 " " y[1] (numeric) = 1.0061204634582641 " " absolute error = 5.588816273216501000000E-5 " " relative error = 5.554509668422103000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11130000000000033 " " y[1] (analytic) = 1.0061874536869788 " " y[1] (numeric) = 1.0061305654066393 " " absolute error = 5.68882803395620600000E-5 " " relative error = 5.653845129066755000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11140000000000033 " " y[1] (analytic) = 1.0061985656910868 " " y[1] (numeric) = 1.006140668465718 " " absolute error = 5.78972253688636600000E-5 " " relative error = 5.754055644980783000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11150000000000033 " " y[1] (analytic) = 1.0062096876332092 " " y[1] (numeric) = 1.0061507726364938 " " absolute error = 5.891499671539790000000E-5 " " relative error = 5.855141074419274000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11160000000000034 " " y[1] (analytic) = 1.0062208195132345 " " y[1] (numeric) = 1.0061608779199607 " " absolute error = 5.994159327382675000000E-5 " " relative error = 5.957101275525573000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11170000000000034 " " y[1] (analytic) = 1.0062319613310517 " " y[1] (numeric) = 1.0061709843171125 " " absolute error = 6.09770139392562500000E-5 " " relative error = 6.059936106441637000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11180000000000034 " " y[1] (analytic) = 1.0062431130865495 " " y[1] (numeric) = 1.006181091828943 " " absolute error = 6.20212576063483600000E-5 " " relative error = 6.163645425219795000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11190000000000035 " " y[1] (analytic) = 1.0062542747796162 " " y[1] (numeric) = 1.0061912004564462 " " absolute error = 6.30743231699870700000E-5 " " relative error = 6.2682290898889570000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000035 " " y[1] (analytic) = 1.00626544641014 " " y[1] (numeric) = 1.0062013102006153 " " absolute error = 6.4136209524612300000E-5 " " relative error = 6.373686958388439000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11210000000000035 " " y[1] (analytic) = 1.0062766279780089 " " y[1] (numeric) = 1.0062114210624444 " " absolute error = 6.52069155644419100000E-5 " " relative error = 6.4800188885900410000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11220000000000036 " " y[1] (analytic) = 1.006287819483112 " " y[1] (numeric) = 1.0062215330429272 " " absolute error = 6.62864401848040100000E-5 " " relative error = 6.587224738430460000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11230000000000036 " " y[1] (analytic) = 1.0062990209253369 " " y[1] (numeric) = 1.0062316461430572 " " absolute error = 6.7374782279694400000E-5 " " relative error = 6.695304365668594000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11240000000000036 " " y[1] (analytic) = 1.0063102323045714 " " y[1] (numeric) = 1.0062417603638283 " " absolute error = 6.84719407431089200000E-5 " " relative error = 6.804257628017947000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11250000000000036 " " y[1] (analytic) = 1.0063214536207035 " " y[1] (numeric) = 1.0062518757062342 " " absolute error = 6.95779144692654200000E-5 " " relative error = 6.914084383168712000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11260000000000037 " " y[1] (analytic) = 1.0063326848736214 " " y[1] (numeric) = 1.0062619921712685 " " absolute error = 7.06927023528258800000E-5 " " relative error = 7.024784488809851000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11270000000000037 " " y[1] (analytic) = 1.006343926063212 " " y[1] (numeric) = 1.006272109759925 " " absolute error = 7.18163032871199600000E-5 " " relative error = 7.136357802452611000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11280000000000037 " " y[1] (analytic) = 1.0063551771893637 " " y[1] (numeric) = 1.0062822284731974 " " absolute error = 7.29487161663655600000E-5 " " relative error = 7.248804181651162000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11290000000000038 " " y[1] (analytic) = 1.0063664382519635 " " y[1] (numeric) = 1.0062923483120791 " " absolute error = 7.40899398843364300000E-5 " " relative error = 7.362123483870253000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000038 " " y[1] (analytic) = 1.0063777092508988 " " y[1] (numeric) = 1.006302469277564 " " absolute error = 7.52399733348063600000E-5 " " relative error = 7.476315566529345000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11310000000000038 " " y[1] (analytic) = 1.006388990186057 " " y[1] (numeric) = 1.0063125913706454 " " absolute error = 7.63988154115491400000E-5 " " relative error = 7.591380287002627000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11320000000000038 " " y[1] (analytic) = 1.0064002810573256 " " y[1] (numeric) = 1.0063227145923173 " " absolute error = 7.75664650083385300000E-5 " " relative error = 7.707317502619047000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11330000000000039 " " y[1] (analytic) = 1.0064115818645911 " " y[1] (numeric) = 1.006332838943573 " " absolute error = 7.87429210180601300000E-5 " " relative error = 7.824127070574064000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11340000000000039 " " y[1] (analytic) = 1.0064228926077408 " " y[1] (numeric) = 1.0063429644254063 " " absolute error = 7.99281823344877300000E-5 " " relative error = 7.941808848106182000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11350000000000039 " " y[1] (analytic) = 1.0064342132866615 " " y[1] (numeric) = 1.0063530910388108 " " absolute error = 8.11222478507289700000E-5 " " relative error = 8.060362692342516000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1136000000000004 " " y[1] (analytic) = 1.0064455439012403 " " y[1] (numeric) = 1.0063632187847797 " " absolute error = 8.23251164605576200000E-5 " " relative error = 8.179788460431193000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1137000000000004 " " y[1] (analytic) = 1.0064568844513633 " " y[1] (numeric) = 1.006373347664307 " " absolute error = 8.35367870561931600000E-5 " " relative error = 8.300086009320756000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1138000000000004 " " y[1] (analytic) = 1.0064682349369178 " " y[1] (numeric) = 1.0063834776783862 " " absolute error = 8.47572585316314100000E-5 " " relative error = 8.421255196091083000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1139000000000004 " " y[1] (analytic) = 1.0064795953577899 " " y[1] (numeric) = 1.0063936088280105 " " absolute error = 8.59865297793138700000E-5 " " relative error = 8.54329587762251900E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1140000000000004 " " y[1] (analytic) = 1.0064909657138656 " " y[1] (numeric) = 1.0064037411141737 " " absolute error = 8.7224599691904100000E-5 " " relative error = 8.666207910772356000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11410000000000041 " " y[1] (analytic) = 1.006502346005032 " " y[1] (numeric) = 1.0064138745378695 " " absolute error = 8.84714671625097500000E-5 " " relative error = 8.78999115239692000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11420000000000041 " " y[1] (analytic) = 1.0065137362311751 " " y[1] (numeric) = 1.0064240091000909 " " absolute error = 8.97271310842384700000E-5 " " relative error = 8.914645459307474000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11430000000000042 " " y[1] (analytic) = 1.0065251363921806 " " y[1] (numeric) = 1.0064341448018317 " " absolute error = 9.09915903488656100000E-5 " " relative error = 9.04017068813787000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11440000000000042 " " y[1] (analytic) = 1.0065365464879346 " " y[1] (numeric) = 1.0064442816440853 " " absolute error = 9.2264843849276800000E-5 " " relative error = 9.16656669558722000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11450000000000042 " " y[1] (analytic) = 1.0065479665183235 " " y[1] (numeric) = 1.0064544196278453 " " absolute error = 9.35468904781355800000E-5 " " relative error = 9.293833338287573000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11460000000000042 " " y[1] (analytic) = 1.0065593964832322 " " y[1] (numeric) = 1.006464558754105 " " absolute error = 9.48377291272173300000E-5 " " relative error = 9.42197047273774000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11470000000000043 " " y[1] (analytic) = 1.0065708363825474 " " y[1] (numeric) = 1.006474699023858 " " absolute error = 9.61373586894076500000E-5 " " relative error = 9.550977955501845000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11480000000000043 " " y[1] (analytic) = 1.0065822862161542 " " y[1] (numeric) = 1.0064848404380977 " " absolute error = 9.74457780564819100000E-5 " " relative error = 9.680855642988768000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11490000000000043 " " y[1] (analytic) = 1.0065937459839378 " " y[1] (numeric) = 1.0064949829978174 " " absolute error = 9.87629861204375500000E-5 " " relative error = 9.811603391584502000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000044 " " y[1] (analytic) = 1.0066052156857843 " " y[1] (numeric) = 1.0065051267040106 " " absolute error = 1.00088981773716060000E-4 " " relative error = 9.943221057674235000E-3 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11510000000000044 " " y[1] (analytic) = 1.0066166953215783 " " y[1] (numeric) = 1.0065152715576706 " " absolute error = 1.01423763907648730000E-4 " " relative error = 1.007570849748795800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11520000000000044 " " y[1] (analytic) = 1.0066281848912055 " " y[1] (numeric) = 1.0065254175597909 " " absolute error = 1.02767331414677090000E-4 " " relative error = 1.020906556732106600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11530000000000044 " " y[1] (analytic) = 1.0066396843945509 " " y[1] (numeric) = 1.006535564711365 " " absolute error = 1.04119683185910360000E-4 " " relative error = 1.034329212329173500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11540000000000045 " " y[1] (analytic) = 1.0066511938314995 " " y[1] (numeric) = 1.006545713013386 " " absolute error = 1.05480818113568020000E-4 " " relative error = 1.047838802158358700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11550000000000045 " " y[1] (analytic) = 1.006662713201936 " " y[1] (numeric) = 1.0065558624668474 " " absolute error = 1.06850735088537260000E-4 " " relative error = 1.061435311820306500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11560000000000045 " " y[1] (analytic) = 1.0066742425057453 " " y[1] (numeric) = 1.0065660130727425 " " absolute error = 1.08229433002815510000E-4 " " relative error = 1.075118726922208200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11570000000000046 " " y[1] (analytic) = 1.0066857817428123 " " y[1] (numeric) = 1.0065761648320646 " " absolute error = 1.09616910747734050000E-4 " " relative error = 1.088889033060158500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11580000000000046 " " y[1] (analytic) = 1.0066973309130214 " " y[1] (numeric) = 1.006586317745807 " " absolute error = 1.11013167214402130000E-4 " " relative error = 1.102746215823568900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11590000000000046 " " y[1] (analytic) = 1.0067088900162573 " " y[1] (numeric) = 1.0065964718149631 " " absolute error = 1.12418201294151030000E-4 " " relative error = 1.116690260799580200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000046 " " y[1] (analytic) = 1.0067204590524041 " " y[1] (numeric) = 1.0066066270405263 " " absolute error = 1.13832011877867960000E-4 " " relative error = 1.130721153566449100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11610000000000047 " " y[1] (analytic) = 1.0067320380213465 " " y[1] (numeric) = 1.0066167834234896 " " absolute error = 1.15254597856884190000E-4 " " relative error = 1.144838879702370000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11620000000000047 " " y[1] (analytic) = 1.0067436269229684 " " y[1] (numeric) = 1.0066269409648465 " " absolute error = 1.16685958121864890000E-4 " " relative error = 1.159043424774450400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11630000000000047 " " y[1] (analytic) = 1.006755225757154 " " y[1] (numeric) = 1.0066370996655902 " " absolute error = 1.18126091563697240000E-4 " " relative error = 1.173334774347535600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11640000000000048 " " y[1] (analytic) = 1.0067668345237875 " " y[1] (numeric) = 1.006647259526714 " " absolute error = 1.19574997073490510000E-4 " " relative error = 1.187712913984208500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11650000000000048 " " y[1] (analytic) = 1.0067784532227524 " " y[1] (numeric) = 1.006657420549211 " " absolute error = 1.21032673541465740000E-4 " " relative error = 1.202177829233766300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11660000000000048 " " y[1] (analytic) = 1.006790081853933 " " y[1] (numeric) = 1.0066675827340745 " " absolute error = 1.22499119858510140000E-4 " " relative error = 1.216729505647658300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11670000000000048 " " y[1] (analytic) = 1.0068017204172128 " " y[1] (numeric) = 1.0066777460822978 " " absolute error = 1.23974334915066820000E-4 " " relative error = 1.231367928768462700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11680000000000049 " " y[1] (analytic) = 1.006813368912475 " " y[1] (numeric) = 1.006687910594874 " " absolute error = 1.25458317600912750000E-4 " " relative error = 1.24609308412768200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11690000000000049 " " y[1] (analytic) = 1.006825027339604 " " y[1] (numeric) = 1.0066980762727964 " " absolute error = 1.26951066807601260000E-4 " " relative error = 1.260904957270002600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000049 " " y[1] (analytic) = 1.0068366956984822 " " y[1] (numeric) = 1.006708243117058 " " absolute error = 1.2845258142424320000E-4 " " relative error = 1.275803533711398800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1171000000000005 " " y[1] (analytic) = 1.0068483739889937 " " y[1] (numeric) = 1.006718411128652 " " absolute error = 1.29962860341725770000E-4 " " relative error = 1.290788798981031500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1172000000000005 " " y[1] (analytic) = 1.0068600622110218 " " y[1] (numeric) = 1.0067285803085717 " " absolute error = 1.31481902450047980000E-4 " " relative error = 1.305860738594788700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1173000000000005 " " y[1] (analytic) = 1.0068717603644486 " " y[1] (numeric) = 1.0067387506578103 " " absolute error = 1.33009706638320680000E-4 " " relative error = 1.321019338055288200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1174000000000005 " " y[1] (analytic) = 1.0068834684491583 " " y[1] (numeric) = 1.0067489221773607 " " absolute error = 1.3454627179765310000E-4 " " relative error = 1.33626458288054500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1175000000000005 " " y[1] (analytic) = 1.006895186465033 " " y[1] (numeric) = 1.0067590948682161 " " absolute error = 1.36091596816934060000E-4 " " relative error = 1.351596458562076800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11760000000000051 " " y[1] (analytic) = 1.006906914411956 " " y[1] (numeric) = 1.0067692687313696 " " absolute error = 1.3764568058638460000E-4 " " relative error = 1.367014950600186400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11770000000000051 " " y[1] (analytic) = 1.00691865228981 " " y[1] (numeric) = 1.0067794437678144 " " absolute error = 1.39208521995559660000E-4 " " relative error = 1.382520044484118500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11780000000000052 " " y[1] (analytic) = 1.0069304000984771 " " y[1] (numeric) = 1.0067896199785435 " " absolute error = 1.4078011993357010000E-4 " " relative error = 1.398111725694267400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11790000000000052 " " y[1] (analytic) = 1.0069421578378404 " " y[1] (numeric) = 1.0067997973645502 " " absolute error = 1.42360473290192860000E-4 " " relative error = 1.413789979713202500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000052 " " y[1] (analytic) = 1.0069539255077822 " " y[1] (numeric) = 1.0068099759268272 " " absolute error = 1.4394958095498290000E-4 " " relative error = 1.429554792016850800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11810000000000052 " " y[1] (analytic) = 1.0069657031081845 " " y[1] (numeric) = 1.0068201556663676 " " absolute error = 1.455474418168290000E-4 " " relative error = 1.445406148070089200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11820000000000053 " " y[1] (analytic) = 1.00697749063893 " " y[1] (numeric) = 1.0068303365841647 " " absolute error = 1.4715405476528610000E-4 " " relative error = 1.46134403333997520E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11830000000000053 " " y[1] (analytic) = 1.0069892880999003 " " y[1] (numeric) = 1.0068405186812113 " " absolute error = 1.48769418689020940000E-4 " " relative error = 1.47736843328031500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11840000000000053 " " y[1] (analytic) = 1.0070010954909778 " " y[1] (numeric) = 1.0068507019585005 " " absolute error = 1.50393532477366420000E-4 " " relative error = 1.493479333347099100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11850000000000054 " " y[1] (analytic) = 1.0070129128120444 " " y[1] (numeric) = 1.0068608864170254 " " absolute error = 1.5202639501898930000E-4 " " relative error = 1.509676718985275800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11860000000000054 " " y[1] (analytic) = 1.007024740062982 " " y[1] (numeric) = 1.006871072057779 " " absolute error = 1.5366800520300040000E-4 " " relative error = 1.525960575639776200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11870000000000054 " " y[1] (analytic) = 1.007036577243672 " " y[1] (numeric) = 1.006881258881754 " " absolute error = 1.55318361918066470000E-4 " " relative error = 1.542330888746697400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11880000000000054 " " y[1] (analytic) = 1.007048424353996 " " y[1] (numeric) = 1.0068914468899435 " " absolute error = 1.56977464052632240000E-4 " " relative error = 1.558787643735509000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11890000000000055 " " y[1] (analytic) = 1.0070602813938363 " " y[1] (numeric) = 1.0069016360833407 " " absolute error = 1.5864531049558650000E-4 " " relative error = 1.575330826035668500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000055 " " y[1] (analytic) = 1.0070721483630733 " " y[1] (numeric) = 1.0069118264629382 " " absolute error = 1.6032190013515190000E-4 " " relative error = 1.591960421065602400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11910000000000055 " " y[1] (analytic) = 1.0070840252615891 " " y[1] (numeric) = 1.0069220180297291 " " absolute error = 1.62007231859995220000E-4 " " relative error = 1.60867641424372700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11920000000000056 " " y[1] (analytic) = 1.0070959120892646 " " y[1] (numeric) = 1.0069322107847065 " " absolute error = 1.63701304558117040000E-4 " " relative error = 1.625478790977430400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11930000000000056 " " y[1] (analytic) = 1.0071078088459808 " " y[1] (numeric) = 1.006942404728863 " " absolute error = 1.65404117117740060000E-4 " " relative error = 1.642367536671892600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11940000000000056 " " y[1] (analytic) = 1.0071197155316192 " " y[1] (numeric) = 1.0069525998631916 " " absolute error = 1.671156684275310000E-4 " " relative error = 1.659342636732289200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11950000000000056 " " y[1] (analytic) = 1.0071316321460602 " " y[1] (numeric) = 1.0069627961886853 " " absolute error = 1.68835957374824370000E-4 " " relative error = 1.676404076546160700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11960000000000057 " " y[1] (analytic) = 1.007143558689185 " " y[1] (numeric) = 1.0069729937063367 " " absolute error = 1.70564982848286920000E-4 " " relative error = 1.69355184150986600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11970000000000057 " " y[1] (analytic) = 1.007155495160874 " " y[1] (numeric) = 1.006983192417139 " " absolute error = 1.72302743735031070000E-4 " " relative error = 1.71078591699992620E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11980000000000057 " " y[1] (analytic) = 1.0071674415610083 " " y[1] (numeric) = 1.0069933923220848 " " absolute error = 1.74049238923501550000E-4 " " relative error = 1.728106288401685000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11990000000000058 " " y[1] (analytic) = 1.007179397889468 " " y[1] (numeric) = 1.007003593422167 " " absolute error = 1.75804467301032830000E-4 " " relative error = 1.74551294108506300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000058 " " y[1] (analytic) = 1.0071913641461339 " " y[1] (numeric) = 1.0070137957183787 " " absolute error = 1.77568427755181450000E-4 " " relative error = 1.763005860417782300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12010000000000058 " " y[1] (analytic) = 1.007203340330886 " " y[1] (numeric) = 1.0070239992117123 " " absolute error = 1.79341119173725970000E-4 " " relative error = 1.780585031765372400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12020000000000058 " " y[1] (analytic) = 1.0072153264436046 " " y[1] (numeric) = 1.0070342039031608 " " absolute error = 1.81122540443778850000E-4 " " relative error = 1.798250440482352400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12030000000000059 " " y[1] (analytic) = 1.00722732248417 " " y[1] (numeric) = 1.007044409793717 " " absolute error = 1.8291269045289660000E-4 " " relative error = 1.816002071923255900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12040000000000059 " " y[1] (analytic) = 1.0072393284524623 " " y[1] (numeric) = 1.0070546168843737 " " absolute error = 1.84711568088635760000E-4 " " relative error = 1.833839911438221700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12050000000000059 " " y[1] (analytic) = 1.007251344348361 " " y[1] (numeric) = 1.0070648251761234 " " absolute error = 1.86519172237664680000E-4 " " relative error = 1.851763944364182600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1206000000000006 " " y[1] (analytic) = 1.0072633701717466 " " y[1] (numeric) = 1.007075034669959 " " absolute error = 1.88335501787539880000E-4 " " relative error = 1.86977415604249700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1207000000000006 " " y[1] (analytic) = 1.0072754059224982 " " y[1] (numeric) = 1.0070852453668735 " " absolute error = 1.90160555624707680000E-4 " " relative error = 1.887870531799115700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1208000000000006 " " y[1] (analytic) = 1.007287451600496 " " y[1] (numeric) = 1.0070954572678594 " " absolute error = 1.91994332636502560000E-4 " " relative error = 1.906053056964420200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1209000000000006 " " y[1] (analytic) = 1.0072995072056192 " " y[1] (numeric) = 1.0071056703739094 " " absolute error = 1.93836831709814920000E-4 " " relative error = 1.924321716860000200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000061 " " y[1] (analytic) = 1.0073115727377473 " " y[1] (numeric) = 1.0071158846860164 " " absolute error = 1.956880517308690000E-4 " " relative error = 1.942676496796450500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12110000000000061 " " y[1] (analytic) = 1.0073236481967596 " " y[1] (numeric) = 1.007126100205173 " " absolute error = 1.97547991586555230000E-4 " " relative error = 1.961117382086600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12120000000000061 " " y[1] (analytic) = 1.0073357335825355 " " y[1] (numeric) = 1.0071363169323717 " " absolute error = 1.99416650163763980000E-4 " " relative error = 1.97964435803889700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12130000000000062 " " y[1] (analytic) = 1.007347828894954 " " y[1] (numeric) = 1.0071465348686053 " " absolute error = 2.0129402634871950000E-4 " " relative error = 1.998257409950802700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12140000000000062 " " y[1] (analytic) = 1.0073599341338941 " " y[1] (numeric) = 1.0071567540148665 " " absolute error = 2.0318011902764610000E-4 " " relative error = 2.016956523115403500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12150000000000062 " " y[1] (analytic) = 1.007372049299235 " " y[1] (numeric) = 1.0071669743721479 " " absolute error = 2.0507492708721210000E-4 " " relative error = 2.03574168282582120E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12160000000000062 " " y[1] (analytic) = 1.0073841743908554 " " y[1] (numeric) = 1.0071771959414422 " " absolute error = 2.06978449413197650000E-4 " " relative error = 2.05461287436199100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12170000000000063 " " y[1] (analytic) = 1.007396309408634 " " y[1] (numeric) = 1.007187418723742 " " absolute error = 2.0889068489204910000E-4 " " relative error = 2.07357008300609100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12180000000000063 " " y[1] (analytic) = 1.0074084543524493 " " y[1] (numeric) = 1.0071976427200398 " " absolute error = 2.1081163240954660000E-4 " " relative error = 2.09261329402932130E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12190000000000063 " " y[1] (analytic) = 1.0074206092221805 " " y[1] (numeric) = 1.0072078679313283 " " absolute error = 2.12741290852136440000E-4 " " relative error = 2.111742492705126500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000064 " " y[1] (analytic) = 1.0074327740177051 " " y[1] (numeric) = 1.0072180943586 " " absolute error = 2.14679659105154740000E-4 " " relative error = 2.130957664291571500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12210000000000064 " " y[1] (analytic) = 1.0074449487389023 " " y[1] (numeric) = 1.0072283220028475 " " absolute error = 2.16626736054825740000E-4 " " relative error = 2.150258794051172500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12220000000000064 " " y[1] (analytic) = 1.00745713338565 " " y[1] (numeric) = 1.0072385508650634 " " absolute error = 2.18582520586485530000E-4 " " relative error = 2.169645867233272500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12230000000000064 " " y[1] (analytic) = 1.0074693279578262 " " y[1] (numeric) = 1.0072487809462403 " " absolute error = 2.20547011585914280000E-4 " " relative error = 2.189118869087264300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12240000000000065 " " y[1] (analytic) = 1.007481532455309 " " y[1] (numeric) = 1.0072590122473708 " " absolute error = 2.22520207938226020000E-4 " " relative error = 2.208677784851573200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12250000000000065 " " y[1] (analytic) = 1.007493746877977 " " y[1] (numeric) = 1.0072692447694473 " " absolute error = 2.24502108529645030000E-4 " " relative error = 2.228322599771288500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12260000000000065 " " y[1] (analytic) = 1.007505971225707 " " y[1] (numeric) = 1.0072794785134622 " " absolute error = 2.26492712244841240000E-4 " " relative error = 2.248053299071724200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12270000000000066 " " y[1] (analytic) = 1.0075182054983776 " " y[1] (numeric) = 1.0072897134804082 " " absolute error = 2.2849201796937280000E-4 " " relative error = 2.26786986798265600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12280000000000066 " " y[1] (analytic) = 1.007530449695866 " " y[1] (numeric) = 1.0072999496712778 " " absolute error = 2.30500024588131680000E-4 " " relative error = 2.287772291722901500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12290000000000066 " " y[1] (analytic) = 1.0075427038180496 " " y[1] (numeric) = 1.0073101870870633 " " absolute error = 2.32516730986231930000E-4 " " relative error = 2.307760555509136300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000066 " " y[1] (analytic) = 1.0075549678648064 " " y[1] (numeric) = 1.0073204257287574 " " absolute error = 2.34542136049009640000E-4 " " relative error = 2.327834644555893400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12310000000000067 " " y[1] (analytic) = 1.0075672418360138 " " y[1] (numeric) = 1.0073306655973522 " " absolute error = 2.36576238661578840000E-4 " " relative error = 2.34799454407116100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12320000000000067 " " y[1] (analytic) = 1.0075795257315483 " " y[1] (numeric) = 1.0073409066938404 " " absolute error = 2.38619037707943350000E-4 " " relative error = 2.368240239247568500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12330000000000067 " " y[1] (analytic) = 1.0075918195512878 " " y[1] (numeric) = 1.0073511490192142 " " absolute error = 2.4067053207366130000E-4 " " relative error = 2.3885717152888300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12340000000000068 " " y[1] (analytic) = 1.007604123295109 " " y[1] (numeric) = 1.0073613925744662 " " absolute error = 2.42730720642736490000E-4 " " relative error = 2.408988957378900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12350000000000068 " " y[1] (analytic) = 1.007616436962889 " " y[1] (numeric) = 1.007371637360589 " " absolute error = 2.4479960230006093000E-4 " " relative error = 2.429491950706209000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12360000000000068 " " y[1] (analytic) = 1.0076287605545047 " " y[1] (numeric) = 1.0073818833785746 " " absolute error = 2.4687717593008252000E-4 " " relative error = 2.450080680450450700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12370000000000068 " " y[1] (analytic) = 1.0076410940698328 " " y[1] (numeric) = 1.0073921306294156 " " absolute error = 2.48963440417249160000E-4 " " relative error = 2.47075513178698500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12380000000000069 " " y[1] (analytic) = 1.0076534375087498 " " y[1] (numeric) = 1.0074023791141042 " " absolute error = 2.5105839464556470000E-4 " " relative error = 2.49151528988243700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12390000000000069 " " y[1] (analytic) = 1.0076657908711324 " " y[1] (numeric) = 1.007412628833633 " " absolute error = 2.53162037499476970000E-4 " " relative error = 2.512361139903509500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000069 " " y[1] (analytic) = 1.0076781541568574 " " y[1] (numeric) = 1.0074228797889941 " " absolute error = 2.5527436786321190000E-4 " " relative error = 2.53329266701037700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1241000000000007 " " y[1] (analytic) = 1.0076905273658006 " " y[1] (numeric) = 1.00743313198118 " " absolute error = 2.5739538462055120000E-4 " " relative error = 2.55430985635448400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1242000000000007 " " y[1] (analytic) = 1.0077029104978383 " " y[1] (numeric) = 1.007443385411183 " " absolute error = 2.59525086655276740000E-4 " " relative error = 2.575412693082952400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1243000000000007 " " y[1] (analytic) = 1.007715303552847 " " y[1] (numeric) = 1.0074536400799954 " " absolute error = 2.6166347285161430000E-4 " " relative error = 2.596601162342991300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1244000000000007 " " y[1] (analytic) = 1.0077277065307029 " " y[1] (numeric) = 1.0074638959886093 " " absolute error = 2.6381054209356770000E-4 " " relative error = 2.61787524927528700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12450000000000071 " " y[1] (analytic) = 1.0077401194312816 " " y[1] (numeric) = 1.0074741531380171 " " absolute error = 2.65966293264474630000E-4 " " relative error = 2.639234939009600400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12460000000000071 " " y[1] (analytic) = 1.007752542254459 " " y[1] (numeric) = 1.0074844115292112 " " absolute error = 2.68130725247894830000E-4 " " relative error = 2.66068021667358270E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12470000000000071 " " y[1] (analytic) = 1.0077649750001112 " " y[1] (numeric) = 1.0074946711631838 " " absolute error = 2.703038369273880000E-4 " " relative error = 2.68221106739057100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12480000000000072 " " y[1] (analytic) = 1.0077774176681134 " " y[1] (numeric) = 1.007504932040927 " " absolute error = 2.7248562718629190000E-4 " " relative error = 2.703827476277388400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12490000000000072 " " y[1] (analytic) = 1.0077898702583417 " " y[1] (numeric) = 1.0075151941634333 " " absolute error = 2.7467609490838820000E-4 " " relative error = 2.725529428450957000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000072 " " y[1] (analytic) = 1.0078023327706709 " " y[1] (numeric) = 1.0075254575316945 " " absolute error = 2.76875238976348470000E-4 " " relative error = 2.747316909012875000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1251000000000007 " " y[1] (analytic) = 1.0078148052049771 " " y[1] (numeric) = 1.0075357221467032 " " absolute error = 2.7908305827395450000E-4 " " relative error = 2.769189903071452300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1252000000000007 " " y[1] (analytic) = 1.0078272875611352 " " y[1] (numeric) = 1.0075459880094513 " " absolute error = 2.8129955168387790000E-4 " " relative error = 2.7911483957196800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1253000000000007 " " y[1] (analytic) = 1.0078397798390202 " " y[1] (numeric) = 1.0075562551209312 " " absolute error = 2.83524718089012140000E-4 " " relative error = 2.813192372048450300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12540000000000068 " " y[1] (analytic) = 1.0078522820385076 " " y[1] (numeric) = 1.007566523482135 " " absolute error = 2.857585563726950000E-4 " " relative error = 2.835321817148764000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12550000000000067 " " y[1] (analytic) = 1.007864794159472 " " y[1] (numeric) = 1.0075767930940547 " " absolute error = 2.8800106541737590000E-4 " " relative error = 2.857536716098510500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12560000000000066 " " y[1] (analytic) = 1.0078773162017887 " " y[1] (numeric) = 1.0075870639576825 " " absolute error = 2.90252244106170560000E-4 " " relative error = 2.879837053977894500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12570000000000064 " " y[1] (analytic) = 1.007889848165332 " " y[1] (numeric) = 1.0075973360740107 " " absolute error = 2.9251209132130640000E-4 " " relative error = 2.902222815854013600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12580000000000063 " " y[1] (analytic) = 1.0079023900499768 " " y[1] (numeric) = 1.0076076094440314 " " absolute error = 2.94780605945454970000E-4 " " relative error = 2.92469398679408100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12590000000000062 " " y[1] (analytic) = 1.007914941855598 " " y[1] (numeric) = 1.0076178840687364 " " absolute error = 2.97057786861509850000E-4 " " relative error = 2.947250551863222500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1260000000000006 " " y[1] (analytic) = 1.0079275035820694 " " y[1] (numeric) = 1.0076281599491181 " " absolute error = 2.99343632951254430000E-4 " " relative error = 2.969892496111261600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1261000000000006 " " y[1] (analytic) = 1.007940075229266 " " y[1] (numeric) = 1.0076384370861686 " " absolute error = 3.01638143097360260000E-4 " " relative error = 2.992619804592547000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1262000000000006 " " y[1] (analytic) = 1.0079526567970616 " " y[1] (numeric) = 1.0076487154808798 " " absolute error = 3.03941316181832730000E-4 " " relative error = 3.01543246235053500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12630000000000058 " " y[1] (analytic) = 1.007965248285331 " " y[1] (numeric) = 1.0076589951342436 " " absolute error = 3.0625315108734340000E-4 " " relative error = 3.038330454431008600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12640000000000057 " " y[1] (analytic) = 1.0079778496939475 " " y[1] (numeric) = 1.0076692760472523 " " absolute error = 3.0857364669523160000E-4 " " relative error = 3.06131376586225400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12650000000000056 " " y[1] (analytic) = 1.0079904610227857 " " y[1] (numeric) = 1.007679558220898 " " absolute error = 3.1090280188772470000E-4 " " relative error = 3.084382381677089300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12660000000000055 " " y[1] (analytic) = 1.0080030822717192 " " y[1] (numeric) = 1.0076898416561726 " " absolute error = 3.1324061554660610000E-4 " " relative error = 3.107536286899650300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12670000000000053 " " y[1] (analytic) = 1.008015713440622 " " y[1] (numeric) = 1.0077001263540681 " " absolute error = 3.15587086553881240000E-4 " " relative error = 3.13077546655200200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12680000000000052 " " y[1] (analytic) = 1.0080283545293676 " " y[1] (numeric) = 1.0077104123155765 " " absolute error = 3.17942213791111400000E-4 " " relative error = 3.15409990564753100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1269000000000005 " " y[1] (analytic) = 1.0080410055378297 " " y[1] (numeric) = 1.0077206995416896 " " absolute error = 3.20305996140080040000E-4 " " relative error = 3.17750958919755600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1270000000000005 " " y[1] (analytic) = 1.0080536664658815 " " y[1] (numeric) = 1.0077309880333996 " " absolute error = 3.2267843248190430000E-4 " " relative error = 3.20100450220251900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1271000000000005 " " y[1] (analytic) = 1.0080663373133967 " " y[1] (numeric) = 1.0077412777916983 " " absolute error = 3.2505952169836760000E-4 " " relative error = 3.224584629665202500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12720000000000048 " " y[1] (analytic) = 1.0080790180802488 " " y[1] (numeric) = 1.0077515688175778 " " absolute error = 3.27449262671031250000E-4 " " relative error = 3.248249956581919500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12730000000000047 " " y[1] (analytic) = 1.0080917087663104 " " y[1] (numeric) = 1.00776186111203 " " absolute error = 3.29847654280346350000E-4 " " relative error = 3.272000467933712000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12740000000000046 " " y[1] (analytic) = 1.008104409371455 " " y[1] (numeric) = 1.0077721546760467 " " absolute error = 3.3225469540831830000E-4 " " relative error = 3.295836148712774600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12750000000000045 " " y[1] (analytic) = 1.0081171198955556 " " y[1] (numeric) = 1.00778244951062 " " absolute error = 3.3467038493562030000E-4 " " relative error = 3.31975698389382850E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12760000000000044 " " y[1] (analytic) = 1.0081298403384849 " " y[1] (numeric) = 1.0077927456167415 " " absolute error = 3.3709472174336950000E-4 " " relative error = 3.34376295845174300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12770000000000042 " " y[1] (analytic) = 1.008142570700116 " " y[1] (numeric) = 1.0078030429954032 " " absolute error = 3.39527704712683230000E-4 " " relative error = 3.367854057357129000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1278000000000004 " " y[1] (analytic) = 1.008155310980321 " " y[1] (numeric) = 1.0078133416475972 " " absolute error = 3.4196933272379050000E-4 " " relative error = 3.39203026556754100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1279000000000004 " " y[1] (analytic) = 1.008168061178973 " " y[1] (numeric) = 1.007823641574315 " " absolute error = 3.44419604658030560000E-4 " " relative error = 3.41629156804728600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1280000000000004 " " y[1] (analytic) = 1.0081808212959444 " " y[1] (numeric) = 1.0078339427765486 " " absolute error = 3.46878519395854570000E-4 " " relative error = 3.44063794974761600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12810000000000038 " " y[1] (analytic) = 1.0081935913311078 " " y[1] (numeric) = 1.0078442452552898 " " absolute error = 3.49346075817935640000E-4 " " relative error = 3.46506939561773640E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12820000000000037 " " y[1] (analytic) = 1.008206371284335 " " y[1] (numeric) = 1.0078545490115305 " " absolute error = 3.51822272804502840000E-4 " " relative error = 3.48958589059820250E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12830000000000036 " " y[1] (analytic) = 1.0082191611554987 " " y[1] (numeric) = 1.0078648540462622 " " absolute error = 3.54307109236451370000E-4 " " relative error = 3.514187419631932000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12840000000000035 " " y[1] (analytic) = 1.0082319609444705 " " y[1] (numeric) = 1.007875160360477 " " absolute error = 3.5680058399356620000E-4 " " relative error = 3.53887396764659130E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12850000000000034 " " y[1] (analytic) = 1.0082447706511228 " " y[1] (numeric) = 1.0078854679551665 " " absolute error = 3.5930269595629840000E-4 " " relative error = 3.563645519572209400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12860000000000033 " " y[1] (analytic) = 1.0082575902753277 " " y[1] (numeric) = 1.0078957768313228 " " absolute error = 3.61813444004877000000E-4 " " relative error = 3.58850206033237640E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12870000000000031 " " y[1] (analytic) = 1.0082704198169563 " " y[1] (numeric) = 1.0079060869899372 " " absolute error = 3.6433282701908710000E-4 " " relative error = 3.613443574842043500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1288000000000003 " " y[1] (analytic) = 1.0082832592758808 " " y[1] (numeric) = 1.0079163984320016 " " absolute error = 3.66860843879157600000E-4 " " relative error = 3.638470048016330000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1289000000000003 " " y[1] (analytic) = 1.0082961086519728 " " y[1] (numeric) = 1.007926711158508 " " absolute error = 3.6939749346487360000E-4 " " relative error = 3.66358146476171930E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000028 " " y[1] (analytic) = 1.0083089679451036 " " y[1] (numeric) = 1.0079370251704476 " " absolute error = 3.71942774656020000E-4 " " relative error = 3.688777809980462500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12910000000000027 " " y[1] (analytic) = 1.0083218371551448 " " y[1] (numeric) = 1.0079473404688124 " " absolute error = 3.74496686332381760000E-4 " " relative error = 3.71405906857058500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12920000000000026 " " y[1] (analytic) = 1.0083347162819676 " " y[1] (numeric) = 1.007957657054594 " " absolute error = 3.7705922737352180000E-4 " " relative error = 3.739425225423679300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12930000000000025 " " y[1] (analytic) = 1.008347605325443 " " y[1] (numeric) = 1.0079679749287842 " " absolute error = 3.79630396658781070000E-4 " " relative error = 3.76487626542491570E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12940000000000024 " " y[1] (analytic) = 1.0083605042854424 " " y[1] (numeric) = 1.0079782940923745 " " absolute error = 3.82210193067944460000E-4 " " relative error = 3.79041217345964200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12950000000000023 " " y[1] (analytic) = 1.008373413161837 " " y[1] (numeric) = 1.0079886145463568 " " absolute error = 3.84798615480130830000E-4 " " relative error = 3.8160329344023800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12960000000000022 " " y[1] (analytic) = 1.0083863319544975 " " y[1] (numeric) = 1.0079989362917225 " " absolute error = 3.8739566277490310000E-4 " " relative error = 3.84173853312783700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1297000000000002 " " y[1] (analytic) = 1.0083992606632943 " " y[1] (numeric) = 1.0080092593294634 " " absolute error = 3.90001333830936050000E-4 " " relative error = 3.86752895449769600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1298000000000002 " " y[1] (analytic) = 1.0084121992880988 " " y[1] (numeric) = 1.0080195836605708 " " absolute error = 3.9261562752801460000E-4 " " relative error = 3.89340418338043200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12990000000000018 " " y[1] (analytic) = 1.0084251478287811 " " y[1] (numeric) = 1.0080299092860365 " " absolute error = 3.95238542744591470000E-4 " " relative error = 3.91936420462709800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000017 " " y[1] (analytic) = 1.0084381062852121 " " y[1] (numeric) = 1.0080402362068521 " " absolute error = 3.97870078360007540000E-4 " " relative error = 3.94540900309334140E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13010000000000016 " " y[1] (analytic) = 1.0084510746572617 " " y[1] (numeric) = 1.0080505644240092 " " absolute error = 4.00510233252493460000E-4 " " relative error = 3.971538563619591600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13020000000000015 " " y[1] (analytic) = 1.008464052944801 " " y[1] (numeric) = 1.0080608939384992 " " absolute error = 4.0315900630183420000E-4 " " relative error = 3.99775287105748100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13030000000000014 " " y[1] (analytic) = 1.0084770411476995 " " y[1] (numeric) = 1.0080712247513137 " " absolute error = 4.05816396385816350000E-4 " " relative error = 4.02405191023462600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13040000000000013 " " y[1] (analytic) = 1.0084900392658276 " " y[1] (numeric) = 1.0080815568634443 " " absolute error = 4.08482402383336660000E-4 " " relative error = 4.05043566598544200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13050000000000012 " " y[1] (analytic) = 1.0085030472990553 " " y[1] (numeric) = 1.0080918902758824 " " absolute error = 4.11157023172847860000E-4 " " relative error = 4.07690412313574170E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1306000000000001 " " y[1] (analytic) = 1.0085160652472525 " " y[1] (numeric) = 1.0081022249896197 " " absolute error = 4.13840257632802630000E-4 " " relative error = 4.10345726650713900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1307000000000001 " " y[1] (analytic) = 1.008529093110289 " " y[1] (numeric) = 1.0081125610056474 " " absolute error = 4.1653210464165370000E-4 " " relative error = 4.130095080917048400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13080000000000008 " " y[1] (analytic) = 1.0085421308880347 " " y[1] (numeric) = 1.0081228983249573 " " absolute error = 4.19232563077409640000E-4 " " relative error = 4.156817551174285500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13090000000000007 " " y[1] (analytic) = 1.008555178580359 " " y[1] (numeric) = 1.0081332369485405 " " absolute error = 4.2194163181852320000E-4 " " relative error = 4.18362466208787600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000006 " " y[1] (analytic) = 1.0085682361871315 " " y[1] (numeric) = 1.0081435768773888 " " absolute error = 4.2465930974278090000E-4 " " relative error = 4.21051639845604700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13110000000000005 " " y[1] (analytic) = 1.0085813037082216 " " y[1] (numeric) = 1.0081539181124934 " " absolute error = 4.27385595728191350000E-4 " " relative error = 4.23749274507503900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13120000000000004 " " y[1] (analytic) = 1.0085943811434988 " " y[1] (numeric) = 1.008164260654846 " " absolute error = 4.3012048865276320000E-4 " " relative error = 4.26455368673690200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13130000000000003 " " y[1] (analytic) = 1.0086074684928321 " " y[1] (numeric) = 1.0081746045054376 " " absolute error = 4.32863987394505050000E-4 " " relative error = 4.291699208229502500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13140000000000002 " " y[1] (analytic) = 1.0086205657560905 " " y[1] (numeric) = 1.00818494966526 " " absolute error = 4.3561609083053730000E-4 " " relative error = 4.318929294327716000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1315 " " y[1] (analytic) = 1.0086336729331435 " " y[1] (numeric) = 1.0081952961353042 " " absolute error = 4.3837679783931270000E-4 " " relative error = 4.3462439298154404E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1316 " " y[1] (analytic) = 1.0086467900238598 " " y[1] (numeric) = 1.0082056439165619 " " absolute error = 4.41146107297951700000E-4 " " relative error = 4.373643099459189600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13169999999999998 " " y[1] (analytic) = 1.008659917028108 " " y[1] (numeric) = 1.0082159930100243 " " absolute error = 4.43924018083796670000E-4 " " relative error = 4.401126788023499400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13179999999999997 " " y[1] (analytic) = 1.0086730539457571 " " y[1] (numeric) = 1.008226343416683 " " absolute error = 4.4671052907419020000E-4 " " relative error = 4.42869498026872700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13189999999999996 " " y[1] (analytic) = 1.0086862007766757 " " y[1] (numeric) = 1.008236695137529 " " absolute error = 4.4950563914669670000E-4 " " relative error = 4.45634766095325800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13199999999999995 " " y[1] (analytic) = 1.0086993575207321 " " y[1] (numeric) = 1.0082470481735537 " " absolute error = 4.52309347178436740000E-4 " " relative error = 4.484084814826902500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13209999999999994 " " y[1] (analytic) = 1.0087125241777952 " " y[1] (numeric) = 1.0082574025257485 " " absolute error = 4.5512165204675270000E-4 " " relative error = 4.511906426637498600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13219999999999993 " " y[1] (analytic) = 1.0087257007477328 " " y[1] (numeric) = 1.0082677581951047 " " absolute error = 4.5794255262809890000E-4 " " relative error = 4.53981248111991400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13229999999999992 " " y[1] (analytic) = 1.0087388872304137 " " y[1] (numeric) = 1.0082781151826135 " " absolute error = 4.60772047800261930000E-4 " " relative error = 4.56780296301805500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1323999999999999 " " y[1] (analytic) = 1.0087520836257053 " " y[1] (numeric) = 1.008288473489266 " " absolute error = 4.636101364392520000E-4 " " relative error = 4.59587785705405500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1324999999999999 " " y[1] (analytic) = 1.0087652899334763 " " y[1] (numeric) = 1.0082988331160538 " " absolute error = 4.6645681742241150000E-4 " " relative error = 4.62403714795908900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13259999999999988 " " y[1] (analytic) = 1.0087785061535945 " " y[1] (numeric) = 1.0083091940639681 " " absolute error = 4.6931208962641690000E-4 " " relative error = 4.65228082045356700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13269999999999987 " " y[1] (analytic) = 1.0087917322859274 " " y[1] (numeric) = 1.008319556334 " " absolute error = 4.7217595192750040000E-4 " " relative error = 4.68060885924934330E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13279999999999986 " " y[1] (analytic) = 1.008804968330343 " " y[1] (numeric) = 1.0083299199271407 " " absolute error = 4.7504840320233830000E-4 " " relative error = 4.70902124905851040E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13289999999999985 " " y[1] (analytic) = 1.008818214286709 " " y[1] (numeric) = 1.0083402848443814 " " absolute error = 4.77929442327607030000E-4 " " relative error = 4.73751797458900900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13299999999999984 " " y[1] (analytic) = 1.0088314701548928 " " y[1] (numeric) = 1.0083506510867133 " " absolute error = 4.8081906817953880000E-4 " " relative error = 4.76609902054022300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13309999999999983 " " y[1] (analytic) = 1.0088447359347619 " " y[1] (numeric) = 1.0083610186551277 " " absolute error = 4.8371727963414380000E-4 " " relative error = 4.794764371605186000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13319999999999982 " " y[1] (analytic) = 1.0088580116261836 " " y[1] (numeric) = 1.0083713875506157 " " absolute error = 4.86624075567876350000E-4 " " relative error = 4.823514012477181400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1332999999999998 " " y[1] (analytic) = 1.0088712972290252 " " y[1] (numeric) = 1.0083817577741683 " " absolute error = 4.8953945485696870000E-4 " " relative error = 4.85234792784314600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1333999999999998 " " y[1] (analytic) = 1.0088845927431538 " " y[1] (numeric) = 1.0083921293267768 " " absolute error = 4.924634163769870000E-4 " " relative error = 4.88126610237926800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13349999999999979 " " y[1] (analytic) = 1.0088978981684367 " " y[1] (numeric) = 1.0084025022094323 " " absolute error = 4.9539595900438550000E-4 " " relative error = 4.910268520766395400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13359999999999977 " " y[1] (analytic) = 1.0089112135047404 " " y[1] (numeric) = 1.008412876423126 " " absolute error = 4.9833708161450830000E-4 " " relative error = 4.939355167670231000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13369999999999976 " " y[1] (analytic) = 1.0089245387519319 " " y[1] (numeric) = 1.0084232519688487 " " absolute error = 5.0128678308314360000E-4 " " relative error = 4.96852602775673800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13379999999999975 " " y[1] (analytic) = 1.0089378739098782 " " y[1] (numeric) = 1.0084336288475917 " " absolute error = 5.0424506228652350000E-4 " " relative error = 4.99778108569214450E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13389999999999974 " " y[1] (analytic) = 1.0089512189784453 " " y[1] (numeric) = 1.008444007060346 " " absolute error = 5.0721191809932620000E-4 " " relative error = 5.027120326123140000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13399999999999973 " " y[1] (analytic) = 1.0089645739575008 " " y[1] (numeric) = 1.0084543866081026 " " absolute error = 5.1018734939822790000E-4 " " relative error = 5.056543733712080000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13409999999999972 " " y[1] (analytic) = 1.0089779388469102 " " y[1] (numeric) = 1.0084647674918528 " " absolute error = 5.1317135505746240000E-4 " " relative error = 5.086051293092987000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1341999999999997 " " y[1] (analytic) = 1.0089913136465403 " " y[1] (numeric) = 1.0084751497125874 " " absolute error = 5.1616393395281790000E-4 " " relative error = 5.11564298891115300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1342999999999997 " " y[1] (analytic) = 1.0090046983562573 " " y[1] (numeric) = 1.0084855332712974 " " absolute error = 5.1916508495986060000E-4 " " relative error = 5.14531880580554900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1343999999999997 " " y[1] (analytic) = 1.0090180929759271 " " y[1] (numeric) = 1.0084959181689739 " " absolute error = 5.2217480695326830000E-4 " " relative error = 5.1750787284022090E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13449999999999968 " " y[1] (analytic) = 1.0090314975054162 " " y[1] (numeric) = 1.0085063044066078 " " absolute error = 5.2519309880838530000E-4 " " relative error = 5.2049227413296500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13459999999999966 " " y[1] (analytic) = 1.0090449119445901 " " y[1] (numeric) = 1.0085166919851902 " " absolute error = 5.2821995939988930000E-4 " " relative error = 5.23485082920566300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13469999999999965 " " y[1] (analytic) = 1.009058336293315 " " y[1] (numeric) = 1.008527080905712 " " absolute error = 5.3125538760290250000E-4 " " relative error = 5.264862976648320000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13479999999999964 " " y[1] (analytic) = 1.0090717705514565 " " y[1] (numeric) = 1.0085374711691641 " " absolute error = 5.3429938229232480000E-4 " " relative error = 5.294959168269378000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13489999999999963 " " y[1] (analytic) = 1.0090852147188802 " " y[1] (numeric) = 1.0085478627765376 " " absolute error = 5.3735194234261210000E-4 " " relative error = 5.325139388672069000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13499999999999962 " " y[1] (analytic) = 1.009098668795452 " " y[1] (numeric) = 1.0085582557288233 " " absolute error = 5.4041306662866440000E-4 " " relative error = 5.35540362245991800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1350999999999996 " " y[1] (analytic) = 1.0091121327810368 " " y[1] (numeric) = 1.0085686500270121 " " absolute error = 5.4348275402471560000E-4 " " relative error = 5.38575185422573500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1351999999999996 " " y[1] (analytic) = 1.0091256066755006 " " y[1] (numeric) = 1.0085790456720949 " " absolute error = 5.4656100340566560000E-4 " " relative error = 5.416184068564821000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1352999999999996 " " y[1] (analytic) = 1.009139090478708 " " y[1] (numeric) = 1.0085894426650626 " " absolute error = 5.4964781364552630000E-4 " " relative error = 5.44670025005956600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13539999999999958 " " y[1] (analytic) = 1.0091525841905247 " " y[1] (numeric) = 1.008599841006906 " " absolute error = 5.5274318361875350000E-4 " " relative error = 5.47730038329265600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13549999999999957 " " y[1] (analytic) = 1.0091660878108155 " " y[1] (numeric) = 1.008610240698616 " " absolute error = 5.5584711219958120000E-4 " " relative error = 5.50798445284046900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13559999999999955 " " y[1] (analytic) = 1.0091796013394454 " " y[1] (numeric) = 1.0086206417411834 " " absolute error = 5.589595982620210000E-4 " " relative error = 5.53875244327308400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13569999999999954 " " y[1] (analytic) = 1.0091931247762793 " " y[1] (numeric) = 1.008631044135599 " " absolute error = 5.6208064068030690000E-4 " " relative error = 5.56960433915867700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13579999999999953 " " y[1] (analytic) = 1.0092066581211818 " " y[1] (numeric) = 1.0086414478828538 " " absolute error = 5.6521023832800670000E-4 " " relative error = 5.60054012505472700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13589999999999952 " " y[1] (analytic) = 1.009220201374018 " " y[1] (numeric) = 1.0086518529839386 " " absolute error = 5.683483900793540000E-4 " " relative error = 5.63155978552121300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1359999999999995 " " y[1] (analytic) = 1.009233754534652 " " y[1] (numeric) = 1.008662259439844 " " absolute error = 5.7149509480791670000E-4 " " relative error = 5.662663305107425000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1360999999999995 " " y[1] (analytic) = 1.0092473176029484 " " y[1] (numeric) = 1.008672667251561 " " absolute error = 5.7465035138748450000E-4 " " relative error = 5.69385066836075400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1361999999999995 " " y[1] (analytic) = 1.0092608905787717 " " y[1] (numeric) = 1.0086830764200798 " " absolute error = 5.7781415869184730000E-4 " " relative error = 5.72512185982450500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13629999999999948 " " y[1] (analytic) = 1.009274473461986 " " y[1] (numeric) = 1.0086934869463917 " " absolute error = 5.8098651559435050000E-4 " " relative error = 5.7564768640334900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13639999999999947 " " y[1] (analytic) = 1.0092880662524557 " " y[1] (numeric) = 1.0087038988314874 " " absolute error = 5.8416742096834010000E-4 " " relative error = 5.787915665518439000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13649999999999946 " " y[1] (analytic) = 1.0093016689500445 " " y[1] (numeric) = 1.0087143120763573 " " absolute error = 5.8735687368716150000E-4 " " relative error = 5.81943824880599500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13659999999999944 " " y[1] (analytic) = 1.009315281554617 " " y[1] (numeric) = 1.0087247266819925 " " absolute error = 5.9055487262438260000E-4 " " relative error = 5.851044598420915000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13669999999999943 " " y[1] (analytic) = 1.0093289040660363 " " y[1] (numeric) = 1.0087351426493836 " " absolute error = 5.9376141665268280000E-4 " " relative error = 5.88273469887508000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13679999999999942 " " y[1] (analytic) = 1.0093425364841666 " " y[1] (numeric) = 1.008745559979521 " " absolute error = 5.9697650464562990000E-4 " " relative error = 5.91450853468508900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1368999999999994 " " y[1] (analytic) = 1.0093561788088716 " " y[1] (numeric) = 1.0087559786733955 " " absolute error = 6.0020013547612550000E-4 " " relative error = 5.94636609035686500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1369999999999994 " " y[1] (analytic) = 1.0093698310400148 " " y[1] (numeric) = 1.008766398731998 " " absolute error = 6.0343230801684910000E-4 " " relative error = 5.97830735039005700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1370999999999994 " " y[1] (analytic) = 1.0093834931774597 " " y[1] (numeric) = 1.0087768201563188 " " absolute error = 6.0667302114092440000E-4 " " relative error = 6.01033229928464100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13719999999999938 " " y[1] (analytic) = 1.0093971652210696 " " y[1] (numeric) = 1.0087872429473486 " " absolute error = 6.0992227372103080000E-4 " " relative error = 6.04244092153212000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13729999999999937 " " y[1] (analytic) = 1.0094108471707077 " " y[1] (numeric) = 1.008797667106078 " " absolute error = 6.1318006462962590000E-4 " " relative error = 6.07463320161772800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13739999999999936 " " y[1] (analytic) = 1.0094245390262375 " " y[1] (numeric) = 1.008808092633498 " " absolute error = 6.1644639273961130000E-4 " " relative error = 6.106909124027035000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13749999999999934 " " y[1] (analytic) = 1.0094382407875222 " " y[1] (numeric) = 1.0088185195305985 " " absolute error = 6.1972125692366650000E-4 " " relative error = 6.139268673239341000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13759999999999933 " " y[1] (analytic) = 1.009451952454424 " " y[1] (numeric) = 1.0088289477983705 " " absolute error = 6.2300465605358290000E-4 " " relative error = 6.171711833721091000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13769999999999932 " " y[1] (analytic) = 1.0094656740268064 " " y[1] (numeric) = 1.0088393774378046 " " absolute error = 6.262965890018180000E-4 " " relative error = 6.204238589941262000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1377999999999993 " " y[1] (analytic) = 1.0094794055045322 " " y[1] (numeric) = 1.0088498084498911 " " absolute error = 6.2959705464105120000E-4 " " relative error = 6.23684892636697400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1378999999999993 " " y[1] (analytic) = 1.009493146887464 " " y[1] (numeric) = 1.0088602408356206 " " absolute error = 6.3290605184329610000E-4 " " relative error = 6.26954282745468700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1379999999999993 " " y[1] (analytic) = 1.009506898175464 " " y[1] (numeric) = 1.0088706745959837 " " absolute error = 6.3622357948034390000E-4 " " relative error = 6.30232027765461500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13809999999999928 " " y[1] (analytic) = 1.0095206593683952 " " y[1] (numeric) = 1.0088811097319708 " " absolute error = 6.3954963642443020000E-4 " " relative error = 6.33518126141730900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13819999999999927 " " y[1] (analytic) = 1.0095344304661196 " " y[1] (numeric) = 1.0088915462445724 " " absolute error = 6.4288422154712420000E-4 " " relative error = 6.36812576318267300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13829999999999926 " " y[1] (analytic) = 1.0095482114685 " " y[1] (numeric) = 1.008901984134779 " " absolute error = 6.4622733372088350000E-4 " " relative error = 6.4011537673953600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13839999999999925 " " y[1] (analytic) = 1.0095620023753982 " " y[1] (numeric) = 1.0089124234035811 " " absolute error = 6.4957897181705530000E-4 " " relative error = 6.43426525848497800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13849999999999923 " " y[1] (analytic) = 1.0095758031866762 " " y[1] (numeric) = 1.0089228640519692 " " absolute error = 6.5293913470698680000E-4 " " relative error = 6.46746022087709100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13859999999999922 " " y[1] (analytic) = 1.0095896139021963 " " y[1] (numeric) = 1.0089333060809336 " " absolute error = 6.5630782126269160000E-4 " " relative error = 6.50073863899981900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1386999999999992 " " y[1] (analytic) = 1.00960343452182 " " y[1] (numeric) = 1.0089437494914648 " " absolute error = 6.5968503035529480000E-4 " " relative error = 6.53410049726843800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1387999999999992 " " y[1] (analytic) = 1.0096172650454096 " " y[1] (numeric) = 1.008954194284553 " " absolute error = 6.6307076085658780000E-4 " " relative error = 6.56754578010078700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1388999999999992 " " y[1] (analytic) = 1.0096311054728266 " " y[1] (numeric) = 1.008964640461189 " " absolute error = 6.6646501163769580000E-4 " " relative error = 6.60107447190406600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13899999999999918 " " y[1] (analytic) = 1.0096449558039327 " " y[1] (numeric) = 1.0089750880223627 " " absolute error = 6.6986778156996610000E-4 " " relative error = 6.63468655708364200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13909999999999917 " " y[1] (analytic) = 1.0096588160385886 " " y[1] (numeric) = 1.0089855369690648 " " absolute error = 6.7327906952385770000E-4 " " relative error = 6.66838202003205500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13919999999999916 " " y[1] (analytic) = 1.009672686176657 " " y[1] (numeric) = 1.0089959873022856 " " absolute error = 6.7669887437138420000E-4 " " relative error = 6.70216084515319800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13929999999999915 " " y[1] (analytic) = 1.0096865662179981 " " y[1] (numeric) = 1.0090064390230153 " " absolute error = 6.8012719498278250000E-4 " " relative error = 6.73602301682934900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13939999999999914 " " y[1] (analytic) = 1.0097004561624736 " " y[1] (numeric) = 1.0090168921322444 " " absolute error = 6.8356403022917790000E-4 " " relative error = 6.76996851944755100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13949999999999912 " " y[1] (analytic) = 1.0097143560099446 " " y[1] (numeric) = 1.009027346630963 " " absolute error = 6.8700937898169560000E-4 " " relative error = 6.80399733739082600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1395999999999991 " " y[1] (analytic) = 1.009728265760272 " " y[1] (numeric) = 1.0090378025201614 " " absolute error = 6.9046324011057260000E-4 " " relative error = 6.83810945502937200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1396999999999991 " " y[1] (analytic) = 1.0097421854133168 " " y[1] (numeric) = 1.0090482598008301 " " absolute error = 6.9392561248671210000E-4 " " relative error = 6.87230485673596100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1397999999999991 " " y[1] (analytic) = 1.0097561149689398 " " y[1] (numeric) = 1.0090587184739592 " " absolute error = 6.9739649498057330000E-4 " " relative error = 6.90658352687495500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13989999999999908 " " y[1] (analytic) = 1.0097700544270016 " " y[1] (numeric) = 1.009069178540539 " " absolute error = 7.0087588646261520000E-4 " " relative error = 6.94094544980669100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13999999999999907 " " y[1] (analytic) = 1.0097840037873627 " " y[1] (numeric) = 1.0090796400015598 " " absolute error = 7.0436378580285290000E-4 " " relative error = 6.97539060988309900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14009999999999906 " " y[1] (analytic) = 1.009797963049884 " " y[1] (numeric) = 1.0090901028580117 " " absolute error = 7.0786019187218940000E-4 " " relative error = 7.00991899146088200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14019999999999905 " " y[1] (analytic) = 1.0098119322144252 " " y[1] (numeric) = 1.0091005671108848 " " absolute error = 7.1136510354041780000E-4 " " relative error = 7.04453057888174500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14029999999999904 " " y[1] (analytic) = 1.0098259112808474 " " y[1] (numeric) = 1.0091110327611696 " " absolute error = 7.1487851967777520000E-4 " " relative error = 7.07922535648777700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14039999999999903 " " y[1] (analytic) = 1.0098399002490106 " " y[1] (numeric) = 1.009121499809856 " " absolute error = 7.1840043915449850000E-4 " " relative error = 7.11400330861706200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14049999999999901 " " y[1] (analytic) = 1.0098538991187747 " " y[1] (numeric) = 1.0091319682579345 " " absolute error = 7.2193086084015870000E-4 " " relative error = 7.1488644195970800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.140599999999999 " " y[1] (analytic) = 1.0098679078899997 " " y[1] (numeric) = 1.009142438106395 " " absolute error = 7.2546978360477080000E-4 " " relative error = 7.18380867375570500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.140699999999999 " " y[1] (analytic) = 1.0098819265625456 " " y[1] (numeric) = 1.0091529093562275 " " absolute error = 7.2901720631812770000E-4 " " relative error = 7.21883605541461400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14079999999999898 " " y[1] (analytic) = 1.0098959551362723 " " y[1] (numeric) = 1.0091633820084225 " " absolute error = 7.3257312784980040000E-4 " " relative error = 7.25394654888927800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14089999999999897 " " y[1] (analytic) = 1.0099099936110394 " " y[1] (numeric) = 1.0091738560639698 " " absolute error = 7.3613754706958190000E-4 " " relative error = 7.28914013849337800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14099999999999896 " " y[1] (analytic) = 1.0099240419867066 " " y[1] (numeric) = 1.0091843315238598 " " absolute error = 7.397104628468210000E-4 " " relative error = 7.32441680853219700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14109999999999895 " " y[1] (analytic) = 1.0099381002631334 " " y[1] (numeric) = 1.0091948083890823 " " absolute error = 7.4329187405108850000E-4 " " relative error = 7.35977654330922100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14119999999999894 " " y[1] (analytic) = 1.009952168440179 " " y[1] (numeric) = 1.0092052866606274 " " absolute error = 7.4688177955173350000E-4 " " relative error = 7.39521932712175100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14129999999999893 " " y[1] (analytic) = 1.009966246517703 " " y[1] (numeric) = 1.0092157663394852 " " absolute error = 7.5048017821788270000E-4 " " relative error = 7.43074514426089700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14139999999999892 " " y[1] (analytic) = 1.0099803344955647 " " y[1] (numeric) = 1.0092262474266458 " " absolute error = 7.540870689188850000E-4 " " relative error = 7.4663539790159800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1414999999999989 " " y[1] (analytic) = 1.009994432373623 " " y[1] (numeric) = 1.0092367299230993 " " absolute error = 7.5770245052364520000E-4 " " relative error = 7.50204581566793700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1415999999999989 " " y[1] (analytic) = 1.0100085401517367 " " y[1] (numeric) = 1.0092472138298356 " " absolute error = 7.613263219010680000E-4 " " relative error = 7.53782063849372500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14169999999999888 " " y[1] (analytic) = 1.0100226578297653 " " y[1] (numeric) = 1.0092576991478446 " " absolute error = 7.6495868192072440000E-4 " " relative error = 7.57367843177291100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14179999999999887 " " y[1] (analytic) = 1.0100367854075671 " " y[1] (numeric) = 1.0092681858781165 " " absolute error = 7.6859952945063090000E-4 " " relative error = 7.60961917976569300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14189999999999886 " " y[1] (analytic) = 1.0100509228850012 " " y[1] (numeric) = 1.009278674021641 " " absolute error = 7.7224886336013650000E-4 " " relative error = 7.64564286674148700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14199999999999885 " " y[1] (analytic) = 1.010065070261926 " " y[1] (numeric) = 1.0092891635794083 " " absolute error = 7.7590668251770190000E-4 " " relative error = 7.68174947695693400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14209999999999884 " " y[1] (analytic) = 1.0100792275382 " " y[1] (numeric) = 1.0092996545524084 " " absolute error = 7.7957298579156560000E-4 " " relative error = 7.71793899466250500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14219999999999883 " " y[1] (analytic) = 1.0100933947136819 " " y[1] (numeric) = 1.009310146941631 " " absolute error = 7.8324777205085460000E-4 " " relative error = 7.75421140411349600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14229999999999882 " " y[1] (analytic) = 1.0101075717882297 " " y[1] (numeric) = 1.0093206407480662 " " absolute error = 7.8693104016358540000E-4 " " relative error = 7.79056668955023300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1423999999999988 " " y[1] (analytic) = 1.0101217587617017 " " y[1] (numeric) = 1.0093311359727037 " " absolute error = 7.9062278899799670000E-4 " " relative error = 7.82700483521128400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1424999999999988 " " y[1] (analytic) = 1.0101359556339564 " " y[1] (numeric) = 1.0093416326165334 " " absolute error = 7.9432301742299320000E-4 " " relative error = 7.86352582533783700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14259999999999878 " " y[1] (analytic) = 1.0101501624048512 " " y[1] (numeric) = 1.0093521306805453 " " absolute error = 7.9803172430592540000E-4 " " relative error = 7.90012964415173400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14269999999999877 " " y[1] (analytic) = 1.0101643790742445 " " y[1] (numeric) = 1.0093626301657292 " " absolute error = 8.017489085152540000E-4 " " relative error = 7.93681627588184400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14279999999999876 " " y[1] (analytic) = 1.0101786056419941 " " y[1] (numeric) = 1.0093731310730751 " " absolute error = 8.0547456891899570000E-4 " " relative error = 7.97358570474867800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14289999999999875 " " y[1] (analytic) = 1.0101928421079576 " " y[1] (numeric) = 1.0093836334035726 " " absolute error = 8.092087043849450000E-4 " " relative error = 8.01043791496659700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14299999999999874 " " y[1] (analytic) = 1.0102070884719927 " " y[1] (numeric) = 1.0093941371582116 " " absolute error = 8.1295131378111840000E-4 " " relative error = 8.04737289074820100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14309999999999873 " " y[1] (analytic) = 1.0102213447339567 " " y[1] (numeric) = 1.0094046423379819 " " absolute error = 8.1670239597486650000E-4 " " relative error = 8.08439061629554400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14319999999999872 " " y[1] (analytic) = 1.0102356108937074 " " y[1] (numeric) = 1.0094151489438732 " " absolute error = 8.2046194983420580000E-4 " " relative error = 8.12149107581331600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1432999999999987 " " y[1] (analytic) = 1.0102498869511018 " " y[1] (numeric) = 1.0094256569768754 " " absolute error = 8.2422997422648690000E-4 " " relative error = 8.15867425349567400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1433999999999987 " " y[1] (analytic) = 1.0102641729059978 " " y[1] (numeric) = 1.0094361664379783 " " absolute error = 8.2800646801950430000E-4 " " relative error = 8.1959401335372110E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14349999999999868 " " y[1] (analytic) = 1.0102784687582518 " " y[1] (numeric) = 1.0094466773281716 " " absolute error = 8.3179143008016430000E-4 " " relative error = 8.23328870011979400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14359999999999867 " " y[1] (analytic) = 1.0102927745077208 " " y[1] (numeric) = 1.009457189648445 " " absolute error = 8.3558485927581750000E-4 " " relative error = 8.27071993742574100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14369999999999866 " " y[1] (analytic) = 1.0103070901542623 " " y[1] (numeric) = 1.009467703399788 " " absolute error = 8.3938675447425840000E-4 " " relative error = 8.30823382963781400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14379999999999865 " " y[1] (analytic) = 1.010321415697733 " " y[1] (numeric) = 1.0094782185831908 " " absolute error = 8.4319711454217130000E-4 " " relative error = 8.34583036092385700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14389999999999864 " " y[1] (analytic) = 1.0103357511379893 " " y[1] (numeric) = 1.0094887351996427 " " absolute error = 8.4701593834668460000E-4 " " relative error = 8.38350951545216800E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14399999999999863 " " y[1] (analytic) = 1.0103500964748884 " " y[1] (numeric) = 1.0094992532501332 " " absolute error = 8.508432247551490000E-4 " " relative error = 8.42127127738930400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14409999999999862 " " y[1] (analytic) = 1.0103644517082864 " " y[1] (numeric) = 1.0095097727356523 " " absolute error = 8.5467897263402650000E-4 " " relative error = 8.45911563088910400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1441999999999986 " " y[1] (analytic) = 1.0103788168380397 " " y[1] (numeric) = 1.0095202936571896 " " absolute error = 8.5852318085000160000E-4 " " relative error = 8.49704256010367300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1442999999999986 " " y[1] (analytic) = 1.0103931918640048 " " y[1] (numeric) = 1.0095308160157348 " " absolute error = 8.6237584826998060000E-4 " " relative error = 8.53505204918337600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14439999999999859 " " y[1] (analytic) = 1.010407576786038 " " y[1] (numeric) = 1.0095413398122772 " " absolute error = 8.6623697376086990000E-4 " " relative error = 8.57314408227465700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14449999999999857 " " y[1] (analytic) = 1.0104219716039957 " " y[1] (numeric) = 1.0095518650478068 " " absolute error = 8.7010655618890990000E-4 " " relative error = 8.61131864351344300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14459999999999856 " " y[1] (analytic) = 1.0104363763177335 " " y[1] (numeric) = 1.009562391723313 " " absolute error = 8.7398459442056260000E-4 " " relative error = 8.6495757170339300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14469999999999855 " " y[1] (analytic) = 1.0104507909271074 " " y[1] (numeric) = 1.0095729198397851 " " absolute error = 8.7787108732229060000E-4 " " relative error = 8.687915286966399E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14479999999999854 " " y[1] (analytic) = 1.0104652154319735 " " y[1] (numeric) = 1.0095834493982132 " " absolute error = 8.8176603376033390000E-4 " " relative error = 8.72633733743500700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14489999999999853 " " y[1] (analytic) = 1.0104796498321875 " " y[1] (numeric) = 1.0095939803995864 " " absolute error = 8.8566943260115490000E-4 " " relative error = 8.76484185256219500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14499999999999852 " " y[1] (analytic) = 1.010494094127605 " " y[1] (numeric) = 1.0096045128448943 " " absolute error = 8.8958128271077190000E-4 " " relative error = 8.80342881646209400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1450999999999985 " " y[1] (analytic) = 1.0105085483180813 " " y[1] (numeric) = 1.0096150467351266 " " absolute error = 8.9350158295475880000E-4 " " relative error = 8.84209821324052900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1451999999999985 " " y[1] (analytic) = 1.0105230124034725 " " y[1] (numeric) = 1.0096255820712727 " " absolute error = 8.9743033219980010000E-4 " " relative error = 8.88085002701039100E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14529999999999849 " " y[1] (analytic) = 1.0105374863836334 " " y[1] (numeric) = 1.0096361188543221 " " absolute error = 9.0136752931124780000E-4 " " relative error = 8.9196842418674890E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14539999999999847 " " y[1] (analytic) = 1.0105519702584194 " " y[1] (numeric) = 1.0096466570852642 " " absolute error = 9.0531317315512000000E-4 " " relative error = 8.95860084191031200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14549999999999846 " " y[1] (analytic) = 1.0105664640276857 " " y[1] (numeric) = 1.0096571967650885 " " absolute error = 9.0926726259721310000E-4 " " relative error = 8.99759981123124500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14559999999999845 " " y[1] (analytic) = 1.0105809676912874 " " y[1] (numeric) = 1.0096677378947845 " " absolute error = 9.1322979650287900000E-4 " " relative error = 9.03668113391437600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14569999999999844 " " y[1] (analytic) = 1.0105954812490792 " " y[1] (numeric) = 1.0096782804753415 " " absolute error = 9.1720077373769190000E-4 " " relative error = 9.07584479404209400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14579999999999843 " " y[1] (analytic) = 1.0106100047009163 " " y[1] (numeric) = 1.009688824507749 " " absolute error = 9.2118019316722590000E-4 " " relative error = 9.11509077569287900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14589999999999842 " " y[1] (analytic) = 1.0106245380466534 " " y[1] (numeric) = 1.0096993699929966 " " absolute error = 9.251680536568330000E-4 " " relative error = 9.15441906293912300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1459999999999984 " " y[1] (analytic) = 1.0106390812861452 " " y[1] (numeric) = 1.0097099169320733 " " absolute error = 9.2916435407186530000E-4 " " relative error = 9.19382963984932500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1460999999999984 " " y[1] (analytic) = 1.010653634419246 " " y[1] (numeric) = 1.0097204653259686 " " absolute error = 9.3316909327745280000E-4 " " relative error = 9.23332249048588900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1461999999999984 " " y[1] (analytic) = 1.0106681974458105 " " y[1] (numeric) = 1.009731015175672 " " absolute error = 9.3718227013850350000E-4 " " relative error = 9.27289759890513300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14629999999999838 " " y[1] (analytic) = 1.010682770365693 " " y[1] (numeric) = 1.0097415664821725 " " absolute error = 9.4120388352059160000E-4 " " relative error = 9.31255494916607500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14639999999999836 " " y[1] (analytic) = 1.010697353178748 " " y[1] (numeric) = 1.0097521192464598 " " absolute error = 9.4523393228818090000E-4 " " relative error = 9.35229452531286500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14649999999999835 " " y[1] (analytic) = 1.0107119458848293 " " y[1] (numeric) = 1.009762673469523 " " absolute error = 9.4927241530617930000E-4 " " relative error = 9.3921163113901600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14659999999999834 " " y[1] (analytic) = 1.0107265484837908 " " y[1] (numeric) = 1.0097732291523516 " " absolute error = 9.5331933143927290000E-4 " " relative error = 9.43202029143653700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14669999999999833 " " y[1] (analytic) = 1.0107411609754873 " " y[1] (numeric) = 1.0097837862959347 " " absolute error = 9.5737467955259170000E-4 " " relative error = 9.4720064494910790E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14679999999999832 " " y[1] (analytic) = 1.010755783359772 " " y[1] (numeric) = 1.0097943449012614 " " absolute error = 9.6143845851059950000E-4 " " relative error = 9.51207476958241400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1468999999999983 " " y[1] (analytic) = 1.010770415636499 " " y[1] (numeric) = 1.0098049049693212 " " absolute error = 9.6551066717776020000E-4 " " relative error = 9.55222523573527900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1469999999999983 " " y[1] (analytic) = 1.0107850578055215 " " y[1] (numeric) = 1.0098154665011034 " " absolute error = 9.6959130441809370000E-4 " " relative error = 9.59245783196615500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1470999999999983 " " y[1] (analytic) = 1.0107997098666937 " " y[1] (numeric) = 1.0098260294975971 " " absolute error = 9.7368036909650790000E-4 " " relative error = 9.63277254229642500E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14719999999999828 " " y[1] (analytic) = 1.0108143718198686 " " y[1] (numeric) = 1.0098365939597915 " " absolute error = 9.7777786007702260000E-4 " " relative error = 9.67316935073482300E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14729999999999827 " " y[1] (analytic) = 1.0108290436649 " " y[1] (numeric) = 1.0098471598886758 " " absolute error = 9.8188377622410170000E-4 " " relative error = 9.71364824129060400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14739999999999825 " " y[1] (analytic) = 1.010843725401641 " " y[1] (numeric) = 1.0098577272852391 " " absolute error = 9.859981164017650000E-4 " " relative error = 9.75420919796476000E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14749999999999824 " " y[1] (analytic) = 1.0108584170299444 " " y[1] (numeric) = 1.0098682961504708 " " absolute error = 9.9012087947358830000E-4 " " relative error = 9.79485220475003600E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14759999999999823 " " y[1] (analytic) = 1.0108731185496638 " " y[1] (numeric) = 1.0098788664853597 " " absolute error = 9.9425206430403530000E-4 " " relative error = 9.83557724564408900E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14769999999999822 " " y[1] (analytic) = 1.010887829960652 " " y[1] (numeric) = 1.0098894382908954 " " absolute error = 9.983916697566819000E-4 " " relative error = 9.87638430463193400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1477999999999982 " " y[1] (analytic) = 1.0109025512627619 " " y[1] (numeric) = 1.0099000115680665 " " absolute error = 1.0025396946953258000E-3 " " relative error = 9.91727336569692400E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1478999999999982 " " y[1] (analytic) = 1.0109172824558463 " " y[1] (numeric) = 1.0099105863178626 " " absolute error = 1.0066961379837647000E-3 " " relative error = 9.95824441281855200E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1479999999999982 " " y[1] (analytic) = 1.0109320235397576 " " y[1] (numeric) = 1.0099211625412725 " " absolute error = 1.0108609984851302000E-3 " " relative error = 9.99929742996587700E-2 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14809999999999818 " " y[1] (analytic) = 1.010946774514349 " " y[1] (numeric) = 1.0099317402392853 " " absolute error = 1.0150342750636643000E-3 " " relative error = 0.10040432401115072 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14819999999999817 " " y[1] (analytic) = 1.0109615353794725 " " y[1] (numeric) = 1.00994231941289 " " absolute error = 1.0192159665824985000E-3 " " relative error = 0.10081649310227492 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14829999999999816 " " y[1] (analytic) = 1.0109763061349808 " " y[1] (numeric) = 1.0099529000630758 " " absolute error = 1.0234060719049864000E-3 " " relative error = 0.10122948141262829 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14839999999999814 " " y[1] (analytic) = 1.010991086780726 " " y[1] (numeric) = 1.0099634821908317 " " absolute error = 1.0276045898942598000E-3 " " relative error = 0.10164328878174742 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14849999999999813 " " y[1] (analytic) = 1.0110058773165602 " " y[1] (numeric) = 1.0099740657971465 " " absolute error = 1.0318115194136723000E-3 " " relative error = 0.10205791504915233 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14859999999999812 " " y[1] (analytic) = 1.0110206777423354 " " y[1] (numeric) = 1.0099846508830095 " " absolute error = 1.0360268593259114000E-3 " " relative error = 0.10247336005425885 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1486999999999981 " " y[1] (analytic) = 1.0110354880579042 " " y[1] (numeric) = 1.0099952374494097 " " absolute error = 1.0402506084945529000E-3 " " relative error = 0.10288962363653208 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1487999999999981 " " y[1] (analytic) = 1.011050308263118 " " y[1] (numeric) = 1.0100058254973359 " " absolute error = 1.0444827657820621000E-3 " " relative error = 0.10330670563528908 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1488999999999981 " " y[1] (analytic) = 1.0110651383578286 " " y[1] (numeric) = 1.010016415027777 " " absolute error = 1.0487233300515708000E-3 " " relative error = 0.10372460588987438 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14899999999999808 " " y[1] (analytic) = 1.011079978341888 " " y[1] (numeric) = 1.010027006041722 " " absolute error = 1.0529723001659885000E-3 " " relative error = 0.10414332423957218 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14909999999999807 " " y[1] (analytic) = 1.0110948282151475 " " y[1] (numeric) = 1.01003759854016 " " absolute error = 1.0572296749875587000E-3 " " relative error = 0.10456286052356252 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14919999999999806 " " y[1] (analytic) = 1.0111096879774588 " " y[1] (numeric) = 1.0100481925240796 " " absolute error = 1.061495453379191000E-3 " " relative error = 0.10498321458105299 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14929999999999805 " " y[1] (analytic) = 1.0111245576286731 " " y[1] (numeric) = 1.01005878799447 " " absolute error = 1.0657696342031286000E-3 " " relative error = 0.10540438625114705 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14939999999999803 " " y[1] (analytic) = 1.0111394371686417 " " y[1] (numeric) = 1.01006938495232 " " absolute error = 1.0700522163218373000E-3 " " relative error = 0.10582637537293187 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14949999999999802 " " y[1] (analytic) = 1.011154326597216 " " y[1] (numeric) = 1.0100799833986183 " " absolute error = 1.0743431985977825000E-3 " " relative error = 0.1062491817854563 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149599999999998 " " y[1] (analytic) = 1.011169225914247 " " y[1] (numeric) = 1.0100905833343539 " " absolute error = 1.0786425798932076000E-3 " " relative error = 0.10667280532770908 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149699999999998 " " y[1] (analytic) = 1.0111841351195858 " " y[1] (numeric) = 1.0101011847605157 " " absolute error = 1.082950359070133900E-3 " " relative error = 0.10709724583861878 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149799999999998 " " y[1] (analytic) = 1.0111990542130833 " " y[1] (numeric) = 1.0101117876780925 " " absolute error = 1.087266534990805000E-3 " " relative error = 0.10752250315709774 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14989999999999798 " " y[1] (analytic) = 1.0112139831945903 " " y[1] (numeric) = 1.010122392088073 " " absolute error = 1.0915911065172423000E-3 " " relative error = 0.10794857712199821 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14999999999999797 " " y[1] (analytic) = 1.0112289220639574 " " y[1] (numeric) = 1.0101329979914462 " " absolute error = 1.0959240725112451000E-3 " " relative error = 0.10837546757211232 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15009999999999796 " " y[1] (analytic) = 1.0112438708210352 " " y[1] (numeric) = 1.0101436053892006 " " absolute error = 1.1002654318346128000E-3 " " relative error = 0.1088031743461941 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15019999999999795 " " y[1] (analytic) = 1.0112588294656744 " " y[1] (numeric) = 1.010154214282325 " " absolute error = 1.1046151833493667000E-3 " " relative error = 0.10923169728298142 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15029999999999794 " " y[1] (analytic) = 1.0112737979977253 " " y[1] (numeric) = 1.0101648246718082 " " absolute error = 1.1089733259170842000E-3 " " relative error = 0.10966103622113016 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15039999999999792 " " y[1] (analytic) = 1.011288776417038 " " y[1] (numeric) = 1.010175436558639 " " absolute error = 1.1133398583988985000E-3 " " relative error = 0.1100911909992143 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1504999999999979 " " y[1] (analytic) = 1.011303764723463 " " y[1] (numeric) = 1.0101860499438062 " " absolute error = 1.117714779656831000E-3 " " relative error = 0.11052216145585748 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1505999999999979 " " y[1] (analytic) = 1.0113187629168505 " " y[1] (numeric) = 1.0101966648282983 " " absolute error = 1.122098088552236900E-3 " " relative error = 0.11095394742957958 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1506999999999979 " " y[1] (analytic) = 1.0113337709970502 " " y[1] (numeric) = 1.010207281213104 " " absolute error = 1.1264897839462495000E-3 " " relative error = 0.11138654875884049 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15079999999999788 " " y[1] (analytic) = 1.0113487889639123 " " y[1] (numeric) = 1.0102178990992121 " " absolute error = 1.1308898647002241000E-3 " " relative error = 0.11181996528208403 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15089999999999787 " " y[1] (analytic) = 1.0113638168172865 " " y[1] (numeric) = 1.0102285184876112 " " absolute error = 1.1352983296752939000E-3 " " relative error = 0.1122541968376942 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15099999999999786 " " y[1] (analytic) = 1.0113788545570224 " " y[1] (numeric) = 1.01023913937929 " " absolute error = 1.13971517773237000E-3 " " relative error = 0.11268924326399508 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15109999999999785 " " y[1] (analytic) = 1.0113939021829699 " " y[1] (numeric) = 1.010249761775237 " " absolute error = 1.1441404077328077000E-3 " " relative error = 0.1131251043993167 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15119999999999784 " " y[1] (analytic) = 1.0114089596949782 " " y[1] (numeric) = 1.0102603856764412 " " absolute error = 1.148574018537074100E-3 " " relative error = 0.11356178008186345 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15129999999999783 " " y[1] (analytic) = 1.0114240270928971 " " y[1] (numeric) = 1.0102710110838906 " " absolute error = 1.1530160090065245000E-3 " " relative error = 0.1139992701498896 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15139999999999781 " " y[1] (analytic) = 1.0114391043765756 " " y[1] (numeric) = 1.0102816379985742 " " absolute error = 1.1574663780014038000E-3 " " relative error = 0.1144375744415019 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1514999999999978 " " y[1] (analytic) = 1.0114541915458628 " " y[1] (numeric) = 1.0102922664214804 " " absolute error = 1.1619251243824014000E-3 " " relative error = 0.1148766927948131 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1515999999999978 " " y[1] (analytic) = 1.0114692886006085 " " y[1] (numeric) = 1.0103028963535978 " " absolute error = 1.1663922470106503000E-3 " " relative error = 0.11531662504794202 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15169999999999778 " " y[1] (analytic) = 1.0114843955406612 " " y[1] (numeric) = 1.010313527795915 " " absolute error = 1.1708677447461735000E-3 " " relative error = 0.11575737103886001 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15179999999999777 " " y[1] (analytic) = 1.0114995123658699 " " y[1] (numeric) = 1.0103241607494204 " " absolute error = 1.1753516164494382000E-3 " " relative error = 0.11619893060554451 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15189999999999776 " " y[1] (analytic) = 1.0115146390760832 " " y[1] (numeric) = 1.0103347952151027 " " absolute error = 1.1798438609804673000E-3 " " relative error = 0.11664130358589135 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15199999999999775 " " y[1] (analytic) = 1.0115297756711503 " " y[1] (numeric) = 1.0103454311939501 " " absolute error = 1.184344477200172100E-3 " " relative error = 0.11708448981784636 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15209999999999774 " " y[1] (analytic) = 1.0115449221509198 " " y[1] (numeric) = 1.0103560686869513 " " absolute error = 1.1888534639685755000E-3 " " relative error = 0.1175284891392299 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15219999999999773 " " y[1] (analytic) = 1.0115600785152399 " " y[1] (numeric) = 1.0103667076950946 " " absolute error = 1.1933708201452564000E-3 " " relative error = 0.11797330138778084 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15229999999999771 " " y[1] (analytic) = 1.0115752447639594 " " y[1] (numeric) = 1.0103773482193688 " " absolute error = 1.197896544590682000E-3 " " relative error = 0.11841892640128798 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1523999999999977 " " y[1] (analytic) = 1.0115904208969262 " " y[1] (numeric) = 1.010387990260762 " " absolute error = 1.202430636164209000E-3 " " relative error = 0.11886536401739296 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1524999999999977 " " y[1] (analytic) = 1.011605606913989 " " y[1] (numeric) = 1.0103986338202626 " " absolute error = 1.2069730937263046000E-3 " " relative error = 0.11931261407380936 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15259999999999768 " " y[1] (analytic) = 1.0116208028149956 " " y[1] (numeric) = 1.0104092788988592 " " absolute error = 1.2115239161363256000E-3 " " relative error = 0.11976067640810349 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15269999999999767 " " y[1] (analytic) = 1.011636008599794 " " y[1] (numeric) = 1.0104199254975401 " " absolute error = 1.216083102253851000E-3 " " relative error = 0.12020955085782606 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15279999999999766 " " y[1] (analytic) = 1.0116512242682325 " " y[1] (numeric) = 1.0104305736172936 " " absolute error = 1.2206506509389037000E-3 " " relative error = 0.12065923726053401 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15289999999999765 " " y[1] (analytic) = 1.0116664498201589 " " y[1] (numeric) = 1.0104412232591082 " " absolute error = 1.2252265610506186000E-3 " " relative error = 0.12110973545365902 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15299999999999764 " " y[1] (analytic) = 1.0116816852554205 " " y[1] (numeric) = 1.010451874423972 " " absolute error = 1.2298108314483525000E-3 " " relative error = 0.12156104527461725 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15309999999999763 " " y[1] (analytic) = 1.0116969305738652 " " y[1] (numeric) = 1.0104625271128738 " " absolute error = 1.2344034609914623000E-3 " " relative error = 0.12201316656078724 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15319999999999762 " " y[1] (analytic) = 1.0117121857753408 " " y[1] (numeric) = 1.0104731813268013 " " absolute error = 1.2390044485395268000E-3 " " relative error = 0.12246609914953206 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1532999999999976 " " y[1] (analytic) = 1.0117274508596945 " " y[1] (numeric) = 1.0104838370667433 " " absolute error = 1.243613792951237000E-3 " " relative error = 0.12291984287808953 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1533999999999976 " " y[1] (analytic) = 1.0117427258267737 " " y[1] (numeric) = 1.0104944943336878 " " absolute error = 1.2482314930859495000E-3 " " relative error = 0.12337439758372588 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15349999999999758 " " y[1] (analytic) = 1.0117580106764255 " " y[1] (numeric) = 1.010505153128623 " " absolute error = 1.2528575478023551000E-3 " " relative error = 0.1238297631036041 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15359999999999757 " " y[1] (analytic) = 1.0117733054084974 " " y[1] (numeric) = 1.0105158134525374 " " absolute error = 1.2574919559600328000E-3 " " relative error = 0.12428593927493747 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15369999999999756 " " y[1] (analytic) = 1.011788610022836 " " y[1] (numeric) = 1.0105264753064191 " " absolute error = 1.262134716416785000E-3 " " relative error = 0.12474292593472651 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15379999999999755 " " y[1] (analytic) = 1.0118039245192887 " " y[1] (numeric) = 1.0105371386912565 " " absolute error = 1.2667858280321910000E-3 " " relative error = 0.12520072292010972 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15389999999999754 " " y[1] (analytic) = 1.011819248897702 " " y[1] (numeric) = 1.0105478036080375 " " absolute error = 1.2714452896644968000E-3 " " relative error = 0.12565933006805682 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15399999999999753 " " y[1] (analytic) = 1.0118345831579227 " " y[1] (numeric) = 1.0105584700577503 " " absolute error = 1.2761131001723935000E-3 " " relative error = 0.12611874721554397 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15409999999999752 " " y[1] (analytic) = 1.0118499272997978 " " y[1] (numeric) = 1.0105691380413833 " " absolute error = 1.280789258414572000E-3 " " relative error = 0.12657897419951 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1541999999999975 " " y[1] (analytic) = 1.0118652813231737 " " y[1] (numeric) = 1.0105798075599246 " " absolute error = 1.2854737632490565000E-3 " " relative error = 0.12704001085679079 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1542999999999975 " " y[1] (analytic) = 1.0118806452278966 " " y[1] (numeric) = 1.0105904786143622 " " absolute error = 1.290166613534316000E-3 " " relative error = 0.12750185702422875 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15439999999999748 " " y[1] (analytic) = 1.0118960190138129 " " y[1] (numeric) = 1.0106011512056845 " " absolute error = 1.2948678081283750000E-3 " " relative error = 0.12796451253858518 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15449999999999747 " " y[1] (analytic) = 1.0119114026807692 " " y[1] (numeric) = 1.0106118253348795 " " absolute error = 1.299577345889702000E-3 " " relative error = 0.12842797723662805 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15459999999999746 " " y[1] (analytic) = 1.0119267962286114 " " y[1] (numeric) = 1.010622501002935 " " absolute error = 1.3042952256763218000E-3 " " relative error = 0.12889225095504434 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15469999999999745 " " y[1] (analytic) = 1.0119421996571858 " " y[1] (numeric) = 1.0106331782108395 " " absolute error = 1.309021446346259000E-3 " " relative error = 0.1293573335304837 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15479999999999744 " " y[1] (analytic) = 1.011957612966338 " " y[1] (numeric) = 1.0106438569595808 " " absolute error = 1.3137560067570941000E-3 " " relative error = 0.12982322479951494 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15489999999999743 " " y[1] (analytic) = 1.011973036155914 " " y[1] (numeric) = 1.010654537250147 " " absolute error = 1.3184989057670737000E-3 " " relative error = 0.1302899245987354 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15499999999999742 " " y[1] (analytic) = 1.0119884692257597 " " y[1] (numeric) = 1.0106652190835261 " " absolute error = 1.3232501422335563000E-3 " " relative error = 0.13075743276461768 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1550999999999974 " " y[1] (analytic) = 1.0120039121757207 " " y[1] (numeric) = 1.0106759024607064 " " absolute error = 1.3280097150143444000E-3 " " relative error = 0.13122574913364105 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1551999999999974 " " y[1] (analytic) = 1.0120193650056426 " " y[1] (numeric) = 1.0106865873826756 " " absolute error = 1.3327776229670185000E-3 " " relative error = 0.1316948735422259 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15529999999999738 " " y[1] (analytic) = 1.0120348277153708 " " y[1] (numeric) = 1.0106972738504219 " " absolute error = 1.3375538649489370000E-3 " " relative error = 0.13216480582673354 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15539999999999737 " " y[1] (analytic) = 1.0120503003047507 " " y[1] (numeric) = 1.010707961864933 " " absolute error = 1.3423384398176808000E-3 " " relative error = 0.13263554582351025 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15549999999999736 " " y[1] (analytic) = 1.012065782773628 " " y[1] (numeric) = 1.010718651427197 " " absolute error = 1.3471313464308300000E-3 " " relative error = 0.13310709336886525 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15559999999999735 " " y[1] (analytic) = 1.0120812751218469 " " y[1] (numeric) = 1.010729342538202 " " absolute error = 1.3519325836448548000E-3 " " relative error = 0.1335794482989612 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15569999999999734 " " y[1] (analytic) = 1.0120967773492533 " " y[1] (numeric) = 1.0107400351989357 " " absolute error = 1.356742150317558000E-3 " " relative error = 0.13405261045005532 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15579999999999733 " " y[1] (analytic) = 1.012112289455692 " " y[1] (numeric) = 1.0107507294103861 " " absolute error = 1.361560045305854000E-3 " " relative error = 0.1345265796582801 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15589999999999732 " " y[1] (analytic) = 1.0121278114410075 " " y[1] (numeric) = 1.010761425173541 " " absolute error = 1.366386267466435000E-3 " " relative error = 0.1350013557597094 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1559999999999973 " " y[1] (analytic) = 1.012143343305045 " " y[1] (numeric) = 1.0107721224893886 " " absolute error = 1.3712208156564376000E-3 " " relative error = 0.13547693859042373 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1560999999999973 " " y[1] (analytic) = 1.0121588850476493 " " y[1] (numeric) = 1.0107828213589165 " " absolute error = 1.376063688732776000E-3 " " relative error = 0.13595332798644505 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15619999999999729 " " y[1] (analytic) = 1.0121744366686645 " " y[1] (numeric) = 1.0107935217831125 " " absolute error = 1.3809148855519204000E-3 " " relative error = 0.13643052378371448 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15629999999999727 " " y[1] (analytic) = 1.0121899981679352 " " y[1] (numeric) = 1.0108042237629646 " " absolute error = 1.3857744049705634000E-3 " " relative error = 0.13690852581815827 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15639999999999726 " " y[1] (analytic) = 1.0122055695453063 " " y[1] (numeric) = 1.0108149272994604 " " absolute error = 1.3906422458458412000E-3 " " relative error = 0.13738733392570965 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15649999999999725 " " y[1] (analytic) = 1.0122211508006214 " " y[1] (numeric) = 1.0108256323935878 " " absolute error = 1.395518407033558000E-3 " " relative error = 0.13786694794213358 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15659999999999724 " " y[1] (analytic) = 1.012236741933725 " " y[1] (numeric) = 1.0108363390463346 " " absolute error = 1.4004028873904062000E-3 " " relative error = 0.13834736770324582 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15669999999999723 " " y[1] (analytic) = 1.0122523429444612 " " y[1] (numeric) = 1.0108470472586888 " " absolute error = 1.405295685772412000E-3 " " relative error = 0.13882859304475975 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15679999999999722 " " y[1] (analytic) = 1.0122679538326742 " " y[1] (numeric) = 1.0108577570316377 " " absolute error = 1.4101968010364896000E-3 " " relative error = 0.13931062380243958 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1568999999999972 " " y[1] (analytic) = 1.0122835745982073 " " y[1] (numeric) = 1.0108684683661695 " " absolute error = 1.4151062320377772000E-3 " " relative error = 0.13979345981183752 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1569999999999972 " " y[1] (analytic) = 1.0122992052409048 " " y[1] (numeric) = 1.0108791812632716 " " absolute error = 1.420023977633189000E-3 " " relative error = 0.14027710090864437 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1570999999999972 " " y[1] (analytic) = 1.0123148457606104 " " y[1] (numeric) = 1.0108898957239318 " " absolute error = 1.4249500366785295000E-3 " " relative error = 0.14076154692840473 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15719999999999718 " " y[1] (analytic) = 1.0123304961571673 " " y[1] (numeric) = 1.010900611749138 " " absolute error = 1.4298844080293804000E-3 " " relative error = 0.14124679770660456 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15729999999999716 " " y[1] (analytic) = 1.0123461564304193 " " y[1] (numeric) = 1.0109113293398775 " " absolute error = 1.4348270905417682000E-3 " " relative error = 0.1417328530787371 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15739999999999715 " " y[1] (analytic) = 1.0123618265802095 " " y[1] (numeric) = 1.0109220484971382 " " absolute error = 1.4397780830712748000E-3 " " relative error = 0.14221971288021507 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15749999999999714 " " y[1] (analytic) = 1.0123775066063816 " " y[1] (numeric) = 1.0109327692219077 " " absolute error = 1.4447373844739264000E-3 " " relative error = 0.14270737694645846 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15759999999999713 " " y[1] (analytic) = 1.012393196508779 " " y[1] (numeric) = 1.0109434915151736 " " absolute error = 1.4497049936053052000E-3 " " relative error = 0.14319584511280684 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15769999999999712 " " y[1] (analytic) = 1.012408896287244 " " y[1] (numeric) = 1.0109542153779236 " " absolute error = 1.4546809093203272000E-3 " " relative error = 0.14368511721449753 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1577999999999971 " " y[1] (analytic) = 1.0124246059416202 " " y[1] (numeric) = 1.0109649408111452 " " absolute error = 1.4596651304750186000E-3 " " relative error = 0.14417519308684085 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1578999999999971 " " y[1] (analytic) = 1.0124403254717502 " " y[1] (numeric) = 1.0109756678158262 " " absolute error = 1.4646576559240732000E-3 " " relative error = 0.14466607256497913 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1579999999999971 " " y[1] (analytic) = 1.012456054877477 " " y[1] (numeric) = 1.0109863963929537 " " absolute error = 1.4696584845232952000E-3 " " relative error = 0.14515775548412782 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15809999999999708 " " y[1] (analytic) = 1.0124717941586432 " " y[1] (numeric) = 1.0109971265435158 " " absolute error = 1.4746676151273785000E-3 " " relative error = 0.14565024167935628 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15819999999999707 " " y[1] (analytic) = 1.0124875433150915 " " y[1] (numeric) = 1.0110078582684996 " " absolute error = 1.4796850465919054000E-3 " " relative error = 0.14614353098578514 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15829999999999705 " " y[1] (analytic) = 1.0125033023466643 " " y[1] (numeric) = 1.011018591568893 " " absolute error = 1.4847107777713475000E-3 " " relative error = 0.14663762323838891 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15839999999999704 " " y[1] (analytic) = 1.0125190712532042 " " y[1] (numeric) = 1.011029326445683 " " absolute error = 1.489744807521065000E-3 " " relative error = 0.14713251827219356 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15849999999999703 " " y[1] (analytic) = 1.0125348500345532 " " y[1] (numeric) = 1.0110400628998577 " " absolute error = 1.49478713469553000E-3 " " relative error = 0.14762821592210082 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15859999999999702 " " y[1] (analytic) = 1.0125506386905538 " " y[1] (numeric) = 1.0110508009324042 " " absolute error = 1.499837758149658000E-3 " " relative error = 0.14812471602302 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158699999999997 " " y[1] (analytic) = 1.0125664372210479 " " y[1] (numeric) = 1.01106154054431 " " absolute error = 1.5048966767379213000E-3 " " relative error = 0.1486220184097802 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158799999999997 " " y[1] (analytic) = 1.012582245625878 " " y[1] (numeric) = 1.0110722817365625 " " absolute error = 1.5099638893154577000E-3 " " relative error = 0.14912012291723994 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158899999999997 " " y[1] (analytic) = 1.012598063904885 " " y[1] (numeric) = 1.0110830245101492 " " absolute error = 1.515039394735851000E-3 " " relative error = 0.14961902938006813 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15899999999999698 " " y[1] (analytic) = 1.012613892057912 " " y[1] (numeric) = 1.0110937688660575 " " absolute error = 1.520123191854461000E-3 " " relative error = 0.1501187376330725 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15909999999999697 " " y[1] (analytic) = 1.0126297300847997 " " y[1] (numeric) = 1.0111045148052749 " " absolute error = 1.525215279524872000E-3 " " relative error = 0.1506192475108495 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15919999999999696 " " y[1] (analytic) = 1.0126455779853902 " " y[1] (numeric) = 1.0111152623287887 " " absolute error = 1.5303156566015552000E-3 " " relative error = 0.1511205588480468 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15929999999999694 " " y[1] (analytic) = 1.012661435759525 " " y[1] (numeric) = 1.0111260114375862 " " absolute error = 1.5354243219387610000E-3 " " relative error = 0.15162267147925396 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15939999999999693 " " y[1] (analytic) = 1.0126773034070453 " " y[1] (numeric) = 1.0111367621326548 " " absolute error = 1.5405412743905167000E-3 " " relative error = 0.1521255852390025 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15949999999999692 " " y[1] (analytic) = 1.0126931809277924 " " y[1] (numeric) = 1.0111475144149817 " " absolute error = 1.5456665128106284000E-3 " " relative error = 0.15262929996176586 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1595999999999969 " " y[1] (analytic) = 1.012709068321608 " " y[1] (numeric) = 1.0111582682855544 " " absolute error = 1.5508000360535680000E-3 " " relative error = 0.15313381548204694 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1596999999999969 " " y[1] (analytic) = 1.0127249655883326 " " y[1] (numeric) = 1.01116902374536 " " absolute error = 1.5559418429724747000E-3 " " relative error = 0.15363913163418122 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1597999999999969 " " y[1] (analytic) = 1.0127408727278078 " " y[1] (numeric) = 1.0111797807953862 " " absolute error = 1.5610919324215988000E-3 " " relative error = 0.15414524825257747 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15989999999999688 " " y[1] (analytic) = 1.012756789739874 " " y[1] (numeric) = 1.0111905394366199 " " absolute error = 1.5662503032540798000E-3 " " relative error = 0.1546521651714989 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15999999999999687 " " y[1] (analytic) = 1.0127727166243725 " " y[1] (numeric) = 1.0112012996700483 " " absolute error = 1.5714169543241674000E-3 " " relative error = 0.1551598822252822 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16009999999999686 " " y[1] (analytic) = 1.0127886533811439 " " y[1] (numeric) = 1.0112120614966589 " " absolute error = 1.5765918844850013000E-3 " " relative error = 0.15566839924811843 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16019999999999684 " " y[1] (analytic) = 1.0128046000100286 " " y[1] (numeric) = 1.0112228249174386 " " absolute error = 1.5817750925899432000E-3 " " relative error = 0.15617771607418457 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16029999999999683 " " y[1] (analytic) = 1.0128205565108672 " " y[1] (numeric) = 1.0112335899333749 " " absolute error = 1.5869665774923547000E-3 " " relative error = 0.15668783253762159 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16039999999999682 " " y[1] (analytic) = 1.0128365228835006 " " y[1] (numeric) = 1.0112443565454547 " " absolute error = 1.5921663380458195000E-3 " " relative error = 0.15719874847255633 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1604999999999968 " " y[1] (analytic) = 1.0128524991277685 " " y[1] (numeric) = 1.0112551247546655 " " absolute error = 1.5973743731030332000E-3 " " relative error = 0.1577104637129921 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1605999999999968 " " y[1] (analytic) = 1.0128684852435113 " " y[1] (numeric) = 1.0112658945619943 " " absolute error = 1.6025906815169133000E-3 " " relative error = 0.15822297809291822 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1606999999999968 " " y[1] (analytic) = 1.0128844812305693 " " y[1] (numeric) = 1.0112766659684282 " " absolute error = 1.6078152621410435000E-3 " " relative error = 0.15873629144635362 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16079999999999678 " " y[1] (analytic) = 1.0129004870887828 " " y[1] (numeric) = 1.0112874389749544 " " absolute error = 1.6130481138283415000E-3 " " relative error = 0.15925040360721582 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16089999999999677 " " y[1] (analytic) = 1.012916502817991 " " y[1] (numeric) = 1.01129821358256 " " absolute error = 1.6182892354310585000E-3 " " relative error = 0.15976531440932065 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16099999999999676 " " y[1] (analytic) = 1.0129325284180344 " " y[1] (numeric) = 1.0113089897922318 " " absolute error = 1.6235386258025564000E-3 " " relative error = 0.16028102368655758 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16109999999999675 " " y[1] (analytic) = 1.0129485638887523 " " y[1] (numeric) = 1.0113197676049575 " " absolute error = 1.6287962837948644000E-3 " " relative error = 0.1607975312726489 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16119999999999673 " " y[1] (analytic) = 1.0129646092299849 " " y[1] (numeric) = 1.0113305470217235 " " absolute error = 1.6340622082613443000E-3 " " relative error = 0.16131483700141241 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16129999999999672 " " y[1] (analytic) = 1.0129806644415709 " " y[1] (numeric) = 1.0113413280435173 " " absolute error = 1.6393363980535813000E-3 " " relative error = 0.16183294070645501 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1613999999999967 " " y[1] (analytic) = 1.0129967295233506 " " y[1] (numeric) = 1.0113521106713257 " " absolute error = 1.6446188520249372000E-3 " " relative error = 0.16235184222152288 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1614999999999967 " " y[1] (analytic) = 1.013012804475163 " " y[1] (numeric) = 1.011362894906136 " " absolute error = 1.6499095690269971000E-3 " " relative error = 0.1628715413801514 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1615999999999967 " " y[1] (analytic) = 1.013028889296847 " " y[1] (numeric) = 1.0113736807489349 " " absolute error = 1.6552085479122347000E-3 " " relative error = 0.16339203801592772 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16169999999999668 " " y[1] (analytic) = 1.0130449839882427 " " y[1] (numeric) = 1.0113844682007094 " " absolute error = 1.6605157875333454000E-3 " " relative error = 0.1639133319624252 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16179999999999667 " " y[1] (analytic) = 1.0130610885491882 " " y[1] (numeric) = 1.0113952572624465 " " absolute error = 1.6658312867416925000E-3 " " relative error = 0.16443542305305014 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16189999999999666 " " y[1] (analytic) = 1.0130772029795228 " " y[1] (numeric) = 1.0114060479351332 " " absolute error = 1.6711550443895273000E-3 " " relative error = 0.16495831112126075 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16199999999999665 " " y[1] (analytic) = 1.0130933272790854 " " y[1] (numeric) = 1.0114168402197563 " " absolute error = 1.6764870593291015000E-3 " " relative error = 0.16548199600047955 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16209999999999664 " " y[1] (analytic) = 1.0131094614477147 " " y[1] (numeric) = 1.011427634117303 " " absolute error = 1.6818273304117780000E-3 " " relative error = 0.16600647752400594 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16219999999999662 " " y[1] (analytic) = 1.0131256054852493 " " y[1] (numeric) = 1.01143842962876 " " absolute error = 1.6871758564893646000E-3 " " relative error = 0.1665317555251474 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1622999999999966 " " y[1] (analytic) = 1.013141759391528 " " y[1] (numeric) = 1.011449226755114 " " absolute error = 1.6925326364138904000E-3 " " relative error = 0.16705782983719777 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1623999999999966 " " y[1] (analytic) = 1.013157923166389 " " y[1] (numeric) = 1.0114600254973523 " " absolute error = 1.6978976690367187000E-3 " " relative error = 0.16758470029334965 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1624999999999966 " " y[1] (analytic) = 1.0131740968096707 " " y[1] (numeric) = 1.0114708258564613 " " absolute error = 1.7032709532094348000E-3 " " relative error = 0.16811236672678198 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16259999999999658 " " y[1] (analytic) = 1.0131902803212116 " " y[1] (numeric) = 1.0114816278334282 " " absolute error = 1.708652487783402000E-3 " " relative error = 0.16864082897061627 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16269999999999657 " " y[1] (analytic) = 1.0132064737008495 " " y[1] (numeric) = 1.0114924314292395 " " absolute error = 1.7140422716099835000E-3 " " relative error = 0.16917008685793855 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16279999999999656 " " y[1] (analytic) = 1.013222676948423 " " y[1] (numeric) = 1.0115032366448822 " " absolute error = 1.7194403035407646000E-3 " " relative error = 0.16970014022182126 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16289999999999655 " " y[1] (analytic) = 1.0132388900637692 " " y[1] (numeric) = 1.011514043481343 " " absolute error = 1.7248465824262205000E-3 " " relative error = 0.1702309888951919 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16299999999999654 " " y[1] (analytic) = 1.0132551130467269 " " y[1] (numeric) = 1.0115248519396087 " " absolute error = 1.7302611071181584000E-3 " " relative error = 0.17076263271107386 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16309999999999653 " " y[1] (analytic) = 1.0132713458971332 " " y[1] (numeric) = 1.0115356620206661 " " absolute error = 1.7356838764670535000E-3 " " relative error = 0.17129507150232384 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16319999999999651 " " y[1] (analytic) = 1.0132875886148263 " " y[1] (numeric) = 1.011546473725502 " " absolute error = 1.741114889324269000E-3 " " relative error = 0.17182830510185065 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1632999999999965 " " y[1] (analytic) = 1.0133038411996433 " " y[1] (numeric) = 1.011557287055103 " " absolute error = 1.74655414454028000E-3 " " relative error = 0.17236233334244017 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1633999999999965 " " y[1] (analytic) = 1.0133201036514219 " " y[1] (numeric) = 1.0115681020104559 " " absolute error = 1.7520016409660055000E-3 " " relative error = 0.17289715605688674 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16349999999999648 " " y[1] (analytic) = 1.0133363759699996 " " y[1] (numeric) = 1.0115789185925472 " " absolute error = 1.757457377452365000E-3 " " relative error = 0.17343277307794935 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16359999999999647 " " y[1] (analytic) = 1.0133526581552135 " " y[1] (numeric) = 1.0115897368023639 " " absolute error = 1.7629213528496113000E-3 " " relative error = 0.17396918423828595 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16369999999999646 " " y[1] (analytic) = 1.0133689502069005 " " y[1] (numeric) = 1.0116005566408923 " " absolute error = 1.7683935660082195000E-3 " " relative error = 0.1745063893705412 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16379999999999645 " " y[1] (analytic) = 1.0133852521248983 " " y[1] (numeric) = 1.0116113781091192 " " absolute error = 1.7738740157791089000E-3 " " relative error = 0.17504438830736818 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16389999999999644 " " y[1] (analytic) = 1.0134015639090437 " " y[1] (numeric) = 1.0116222012080311 " " absolute error = 1.7793627010125324000E-3 " " relative error = 0.17558318088131905 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16399999999999643 " " y[1] (analytic) = 1.0134178855591731 " " y[1] (numeric) = 1.0116330259386148 " " absolute error = 1.784859620558299000E-3 " " relative error = 0.1761227669248671 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16409999999999642 " " y[1] (analytic) = 1.0134342170751238 " " y[1] (numeric) = 1.0116438523018567 " " absolute error = 1.7903647732671057000E-3 " " relative error = 0.1766631462705378 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1641999999999964 " " y[1] (analytic) = 1.0134505584567324 " " y[1] (numeric) = 1.0116546802987436 " " absolute error = 1.7958781579887617000E-3 " " relative error = 0.17720431875073397 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1642999999999964 " " y[1] (analytic) = 1.0134669097038354 " " y[1] (numeric) = 1.0116655099302618 " " absolute error = 1.8013997735735200000E-3 " " relative error = 0.17774628419786706 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16439999999999638 " " y[1] (analytic) = 1.013483270816269 " " y[1] (numeric) = 1.0116763411973981 " " absolute error = 1.8069296188709671000E-3 " " relative error = 0.17828904244424762 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16449999999999637 " " y[1] (analytic) = 1.0134996417938702 " " y[1] (numeric) = 1.0116871741011388 " " absolute error = 1.8124676927313565000E-3 " " relative error = 0.17883259332221688 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16459999999999636 " " y[1] (analytic) = 1.013516022636475 " " y[1] (numeric) = 1.0116980086424707 " " absolute error = 1.818013994004275000E-3 " " relative error = 0.17937693666401514 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16469999999999635 " " y[1] (analytic) = 1.0135324133439192 " " y[1] (numeric) = 1.01170884482238 " " absolute error = 1.8235685215390873000E-3 " " relative error = 0.1799220723018259 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16479999999999634 " " y[1] (analytic) = 1.0135488139160396 " " y[1] (numeric) = 1.0117196826418533 " " absolute error = 1.8291312741862686000E-3 " " relative error = 0.18046800006790698 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16489999999999633 " " y[1] (analytic) = 1.0135652243526718 " " y[1] (numeric) = 1.011730522101877 " " absolute error = 1.8347022507947397000E-3 " " relative error = 0.1810147197943279 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16499999999999632 " " y[1] (analytic) = 1.0135816446536516 " " y[1] (numeric) = 1.0117413632034378 " " absolute error = 1.8402814502138654000E-3 " " relative error = 0.181562231313167 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1650999999999963 " " y[1] (analytic) = 1.0135980748188151 " " y[1] (numeric) = 1.0117522059475217 " " absolute error = 1.8458688712934546000E-3 " " relative error = 0.1821105344565114 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1651999999999963 " " y[1] (analytic) = 1.0136145148479978 " " y[1] (numeric) = 1.0117630503351154 " " absolute error = 1.851464512882428000E-3 " " relative error = 0.18265962905632568 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16529999999999628 " " y[1] (analytic) = 1.0136309647410353 " " y[1] (numeric) = 1.0117738963672052 " " absolute error = 1.8570683738301508000E-3 " " relative error = 0.1832095149445833 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16539999999999627 " " y[1] (analytic) = 1.0136474244977633 " " y[1] (numeric) = 1.0117847440447774 " " absolute error = 1.8626804529859875000E-3 " " relative error = 0.18376019195322266 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16549999999999626 " " y[1] (analytic) = 1.0136638941180167 " " y[1] (numeric) = 1.0117955933688185 " " absolute error = 1.8683007491981930000E-3 " " relative error = 0.18431165991403797 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16559999999999625 " " y[1] (analytic) = 1.0136803736016315 " " y[1] (numeric) = 1.0118064443403147 " " absolute error = 1.873929261316798000E-3 " " relative error = 0.18486391865896354 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16569999999999624 " " y[1] (analytic) = 1.0136968629484424 " " y[1] (numeric) = 1.0118172969602526 " " absolute error = 1.8795659881898352000E-3 " " relative error = 0.18541696801970192 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16579999999999623 " " y[1] (analytic) = 1.0137133621582848 " " y[1] (numeric) = 1.0118281512296181 " " absolute error = 1.8852109286666696000E-3 " " relative error = 0.1859708078280521 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16589999999999622 " " y[1] (analytic) = 1.0137298712309935 " " y[1] (numeric) = 1.011839007149398 " " absolute error = 1.8908640815955557000E-3 " " relative error = 0.18652543791566878 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1659999999999962 " " y[1] (analytic) = 1.0137463901664034 " " y[1] (numeric) = 1.011849864720578 " " absolute error = 1.8965254458254144000E-3 " " relative error = 0.18708085811423755 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1660999999999962 " " y[1] (analytic) = 1.0137629189643493 " " y[1] (numeric) = 1.0118607239441448 " " absolute error = 1.9021950202045002000E-3 " " relative error = 0.18763706825534363 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16619999999999618 " " y[1] (analytic) = 1.0137794576246661 " " y[1] (numeric) = 1.0118715848210846 " " absolute error = 1.9078728035815118000E-3 " " relative error = 0.18819406817058112 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16629999999999617 " " y[1] (analytic) = 1.0137960061471885 " " y[1] (numeric) = 1.0118824473523835 " " absolute error = 1.913558794804926000E-3 " " relative error = 0.18875185769148758 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16639999999999616 " " y[1] (analytic) = 1.0138125645317506 " " y[1] (numeric) = 1.0118933115390278 " " absolute error = 1.9192529927227753000E-3 " " relative error = 0.18931043664952213 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16649999999999615 " " y[1] (analytic) = 1.0138291327781872 " " y[1] (numeric) = 1.0119041773820037 " " absolute error = 1.9249553961835364000E-3 " " relative error = 0.18986980487615282 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16659999999999614 " " y[1] (analytic) = 1.0138457108863324 " " y[1] (numeric) = 1.011915044882297 " " absolute error = 1.930666004035242000E-3 " " relative error = 0.19042996220276945 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16669999999999613 " " y[1] (analytic) = 1.0138622988560204 " " y[1] (numeric) = 1.0119259140408945 " " absolute error = 1.9363848151259244000E-3 " " relative error = 0.190990908460727 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16679999999999612 " " y[1] (analytic) = 1.0138788966870855 " " y[1] (numeric) = 1.011936784858782 " " absolute error = 1.9421118283036165000E-3 " " relative error = 0.19155264348134593 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1668999999999961 " " y[1] (analytic) = 1.0138955043793616 " " y[1] (numeric) = 1.0119476573369455 " " absolute error = 1.9478470424161287000E-3 " " relative error = 0.19211516709589013 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1669999999999961 " " y[1] (analytic) = 1.0139121219326825 " " y[1] (numeric) = 1.0119585314763715 " " absolute error = 1.9535904563110496000E-3 " " relative error = 0.19267847913556713 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16709999999999608 " " y[1] (analytic) = 1.0139287493468825 " " y[1] (numeric) = 1.0119694072780459 " " absolute error = 1.9593420688366336000E-3 " " relative error = 0.19324257943161535 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16719999999999607 " " y[1] (analytic) = 1.0139453866217947 " " y[1] (numeric) = 1.0119802847429546 " " absolute error = 1.9651018788400254000E-3 " " relative error = 0.19380746781512953 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16729999999999606 " " y[1] (analytic) = 1.0139620337572532 " " y[1] (numeric) = 1.011991163872084 " " absolute error = 1.9708698851692574000E-3 " " relative error = 0.19437314411725715 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16739999999999605 " " y[1] (analytic) = 1.0139786907530914 " " y[1] (numeric) = 1.0120020446664197 " " absolute error = 1.976646086671696200E-3 " " relative error = 0.1949396081690457 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16749999999999604 " " y[1] (analytic) = 1.0139953576091425 " " y[1] (numeric) = 1.0120129271269482 " " absolute error = 1.982430482194264000E-3 " " relative error = 0.19550685980146443 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16759999999999603 " " y[1] (analytic) = 1.0140120343252401 " " y[1] (numeric) = 1.0120238112546553 " " absolute error = 1.9882230705847714000E-3 " " relative error = 0.19607489884553553 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16769999999999602 " " y[1] (analytic) = 1.0140287209012173 " " y[1] (numeric) = 1.012034697050527 " " absolute error = 1.994023850690363000E-3 " " relative error = 0.19664372513218123 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.167799999999996 " " y[1] (analytic) = 1.0140454173369073 " " y[1] (numeric) = 1.0120455845155492 " " absolute error = 1.999832821358182900E-3 " " relative error = 0.1972133384922893 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.167899999999996 " " y[1] (analytic) = 1.0140621236321432 " " y[1] (numeric) = 1.0120564736507078 " " absolute error = 2.0056499814353757000E-3 " " relative error = 0.19778373875671315 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16799999999999599 " " y[1] (analytic) = 1.014078839786758 " " y[1] (numeric) = 1.012067364456989 " " absolute error = 2.0114753297688637000E-3 " " relative error = 0.19835492575624986 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16809999999999597 " " y[1] (analytic) = 1.014095565800584 " " y[1] (numeric) = 1.0120782569353788 " " absolute error = 2.017308865205125200E-3 " " relative error = 0.19892689932161853 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16819999999999596 " " y[1] (analytic) = 1.0141123016734546 " " y[1] (numeric) = 1.0120891510868628 " " absolute error = 2.0231505865917487000E-3 " " relative error = 0.19949965928361313 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16829999999999595 " " y[1] (analytic) = 1.014129047405202 " " y[1] (numeric) = 1.012100046912427 " " absolute error = 2.0290004927749905000E-3 " " relative error = 0.20007320547286225 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16839999999999594 " " y[1] (analytic) = 1.014145802995659 " " y[1] (numeric) = 1.0121109444130574 " " absolute error = 2.034858582601550800E-3 " " relative error = 0.20064753772000388 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16849999999999593 " " y[1] (analytic) = 1.014162568444658 " " y[1] (numeric) = 1.0121218435897397 " " absolute error = 2.040724854918352000E-3 " " relative error = 0.2012226558556635 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16859999999999592 " " y[1] (analytic) = 1.0141793437520312 " " y[1] (numeric) = 1.0121327444434598 " " absolute error = 2.0465993085714285000E-3 " " relative error = 0.20179855971034508 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1686999999999959 " " y[1] (analytic) = 1.0141961289176114 " " y[1] (numeric) = 1.0121436469752036 " " absolute error = 2.0524819424077023000E-3 " " relative error = 0.20237524911460558 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1687999999999959 " " y[1] (analytic) = 1.0142129239412299 " " y[1] (numeric) = 1.0121545511859569 " " absolute error = 2.058372755272985800E-3 " " relative error = 0.20295272389885868 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1688999999999959 " " y[1] (analytic) = 1.014229728822719 " " y[1] (numeric) = 1.0121654570767054 " " absolute error = 2.064271746013535000E-3 " " relative error = 0.20353098389352745 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16899999999999588 " " y[1] (analytic) = 1.014246543561911 " " y[1] (numeric) = 1.012176364648435 " " absolute error = 2.0701789134760507000E-3 " " relative error = 0.2041100289290445 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16909999999999586 " " y[1] (analytic) = 1.0142633681586375 " " y[1] (numeric) = 1.0121872739021314 " " absolute error = 2.0760942565061224000E-3 " " relative error = 0.20468985883569912 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16919999999999585 " " y[1] (analytic) = 1.0142802026127304 " " y[1] (numeric) = 1.0121981848387802 " " absolute error = 2.082017773950228800E-3 " " relative error = 0.20527047344383384 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16929999999999584 " " y[1] (analytic) = 1.0142970469240213 " " y[1] (numeric) = 1.0122090974593674 " " absolute error = 2.08794946465395980E-3 " " relative error = 0.2058518725836696 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16939999999999583 " " y[1] (analytic) = 1.0143139010923417 " " y[1] (numeric) = 1.0122200117648785 " " absolute error = 2.0938893274631276000E-3 " " relative error = 0.2064340560854152 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16949999999999582 " " y[1] (analytic) = 1.014330765117523 " " y[1] (numeric) = 1.0122309277562993 " " absolute error = 2.0998373612237664000E-3 " " relative error = 0.20701702377926728 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1695999999999958 " " y[1] (analytic) = 1.0143476389993968 " " y[1] (numeric) = 1.0122418454346156 " " absolute error = 2.1057935647812442000E-3 " " relative error = 0.20760077549532271 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1696999999999958 " " y[1] (analytic) = 1.014364522737794 " " y[1] (numeric) = 1.0122527648008128 " " absolute error = 2.1117579369811512000E-3 " " relative error = 0.20818531106366636 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1697999999999958 " " y[1] (analytic) = 1.014381416332546 " " y[1] (numeric) = 1.0122636858558767 " " absolute error = 2.1177304766692995000E-3 " " relative error = 0.20877063031437093 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16989999999999578 " " y[1] (analytic) = 1.014398319783484 " " y[1] (numeric) = 1.0122746086007928 " " absolute error = 2.123711182691279000E-3 " " relative error = 0.20935673307745323 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16999999999999577 " " y[1] (analytic) = 1.0144152330904386 " " y[1] (numeric) = 1.0122855330365468 " " absolute error = 2.129700053891792000E-3 " " relative error = 0.20994361918280874 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17009999999999575 " " y[1] (analytic) = 1.0144321562532408 " " y[1] (numeric) = 1.0122964591641244 " " absolute error = 2.1356970891164284000E-3 " " relative error = 0.21053128846038643 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17019999999999574 " " y[1] (analytic) = 1.0144490892717215 " " y[1] (numeric) = 1.012307386984511 " " absolute error = 2.1417022872105562000E-3 " " relative error = 0.21111974074007953 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17029999999999573 " " y[1] (analytic) = 1.0144660321457115 " " y[1] (numeric) = 1.0123183164986922 " " absolute error = 2.1477156470193215000E-3 " " relative error = 0.21170897585172543 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17039999999999572 " " y[1] (analytic) = 1.0144829848750412 " " y[1] (numeric) = 1.0123292477076535 " " absolute error = 2.153737167387648200E-3 " " relative error = 0.21229899362510596 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1704999999999957 " " y[1] (analytic) = 1.0144999474595409 " " y[1] (numeric) = 1.0123401806123806 " " absolute error = 2.1597668471602383000E-3 " " relative error = 0.2128897938899471 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1705999999999957 " " y[1] (analytic) = 1.014516919899041 " " y[1] (numeric) = 1.012351115213859 " " absolute error = 2.1658046851820156000E-3 " " relative error = 0.21348137647596302 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1706999999999957 " " y[1] (analytic) = 1.014533902193372 " " y[1] (numeric) = 1.0123620515130738 " " absolute error = 2.1718506802981263000E-3 " " relative error = 0.21407374121285577 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17079999999999568 " " y[1] (analytic) = 1.014550894342364 " " y[1] (numeric) = 1.012372989511011 " " absolute error = 2.1779048313530502000E-3 " " relative error = 0.21466688793022817 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17089999999999567 " " y[1] (analytic) = 1.0145678963458469 " " y[1] (numeric) = 1.0123839292086558 " " absolute error = 2.183967137191045200E-3 " " relative error = 0.21526081645762743 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17099999999999566 " " y[1] (analytic) = 1.0145849082036509 " " y[1] (numeric) = 1.0123948706069936 " " absolute error = 2.190037596657257200E-3 " " relative error = 0.2158555266246544 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17109999999999564 " " y[1] (analytic) = 1.0146019299156057 " " y[1] (numeric) = 1.01240581370701 " " absolute error = 2.196116208595722000E-3 " " relative error = 0.216451018260767 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17119999999999563 " " y[1] (analytic) = 1.0146189614815415 " " y[1] (numeric) = 1.0124167585096902 " " absolute error = 2.2022029718513636000E-3 " " relative error = 0.21704729119547675 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17129999999999562 " " y[1] (analytic) = 1.0146360029012875 " " y[1] (numeric) = 1.0124277050160198 " " absolute error = 2.2082978852677737000E-3 " " relative error = 0.21764434525813056 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1713999999999956 " " y[1] (analytic) = 1.0146530541746734 " " y[1] (numeric) = 1.012438653226984 " " absolute error = 2.214400947689432200E-3 " " relative error = 0.21824218027812894 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1714999999999956 " " y[1] (analytic) = 1.014670115301529 " " y[1] (numeric) = 1.0124496031435681 " " absolute error = 2.220512157960819000E-3 " " relative error = 0.21884079608483892 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1715999999999956 " " y[1] (analytic) = 1.014687186281683 " " y[1] (numeric) = 1.0124605547667576 " " absolute error = 2.2266315149255256000E-3 " " relative error = 0.2194401925075064 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17169999999999558 " " y[1] (analytic) = 1.0147042671149655 " " y[1] (numeric) = 1.0124715080975377 " " absolute error = 2.23275901742781000E-3 " " relative error = 0.2200403693754093 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17179999999999557 " " y[1] (analytic) = 1.0147213578012053 " " y[1] (numeric) = 1.0124824631368938 " " absolute error = 2.238894664311486000E-3 " " relative error = 0.22064132651774826 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17189999999999556 " " y[1] (analytic) = 1.0147384583402315 " " y[1] (numeric) = 1.0124934198858113 " " absolute error = 2.245038454420145200E-3 " " relative error = 0.2212430637636685 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17199999999999555 " " y[1] (analytic) = 1.0147555687318728 " " y[1] (numeric) = 1.0125043783452754 " " absolute error = 2.2511903865973792000E-3 " " relative error = 0.22184558094228185 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17209999999999553 " " y[1] (analytic) = 1.0147726889759587 " " y[1] (numeric) = 1.012515338516271 " " absolute error = 2.257350459687668000E-3 " " relative error = 0.22244887788275386 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17219999999999552 " " y[1] (analytic) = 1.0147898190723177 " " y[1] (numeric) = 1.012526300399784 " " absolute error = 2.2635186725337153000E-3 " " relative error = 0.22305295441404194 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1722999999999955 " " y[1] (analytic) = 1.0148069590207784 " " y[1] (numeric) = 1.012537263996799 " " absolute error = 2.2696950239793345000E-3 " " relative error = 0.2236578103651792 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1723999999999955 " " y[1] (analytic) = 1.0148241088211694 " " y[1] (numeric) = 1.0125482293083017 " " absolute error = 2.2758795128676734000E-3 " " relative error = 0.22426344556509992 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1724999999999955 " " y[1] (analytic) = 1.0148412684733197 " " y[1] (numeric) = 1.0125591963352767 " " absolute error = 2.28207213804298980E-3 " " relative error = 0.22486985984281402 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17259999999999548 " " y[1] (analytic) = 1.0148584379770569 " " y[1] (numeric) = 1.0125701650787096 " " absolute error = 2.288272898347321000E-3 " " relative error = 0.22547705302707968 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17269999999999547 " " y[1] (analytic) = 1.0148756173322098 " " y[1] (numeric) = 1.0125811355395855 " " absolute error = 2.294481792624259000E-3 " " relative error = 0.22608502494677457 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17279999999999546 " " y[1] (analytic) = 1.0148928065386067 " " y[1] (numeric) = 1.0125921077188895 " " absolute error = 2.300698819717173000E-3 " " relative error = 0.22669377543072122 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17289999999999545 " " y[1] (analytic) = 1.0149100055960754 " " y[1] (numeric) = 1.0126030816176066 " " absolute error = 2.3069239784687667000E-3 " " relative error = 0.22730330430764328 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17299999999999544 " " y[1] (analytic) = 1.0149272145044441 " " y[1] (numeric) = 1.012614057236722 " " absolute error = 2.313157267722188000E-3 " " relative error = 0.2279136114062748 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17309999999999542 " " y[1] (analytic) = 1.0149444332635404 " " y[1] (numeric) = 1.0126250345772208 " " absolute error = 2.319398686319695800E-3 " " relative error = 0.22852469655522914 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1731999999999954 " " y[1] (analytic) = 1.0149616618731927 " " y[1] (numeric) = 1.012636013640088 " " absolute error = 2.32564823310466020E-3 " " relative error = 0.22913655958319556 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1732999999999954 " " y[1] (analytic) = 1.0149789003332281 " " y[1] (numeric) = 1.0126469944263088 " " absolute error = 2.3319059069193404000E-3 " " relative error = 0.22974920031872106 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1733999999999954 " " y[1] (analytic) = 1.0149961486434746 " " y[1] (numeric) = 1.012657976936868 " " absolute error = 2.338171706606662000E-3 " " relative error = 0.23036261859038473 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17349999999999538 " " y[1] (analytic) = 1.0150134068037597 " " y[1] (numeric) = 1.0126689611727508 " " absolute error = 2.3444456310088846000E-3 " " relative error = 0.23097681422666708 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17359999999999537 " " y[1] (analytic) = 1.0150306748139106 " " y[1] (numeric) = 1.0126799471349421 " " absolute error = 2.3507276789684894000E-3 " " relative error = 0.23159178705603722 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17369999999999536 " " y[1] (analytic) = 1.0150479526737548 " " y[1] (numeric) = 1.0126909348244268 " " absolute error = 2.357017849327958000E-3 " " relative error = 0.23220753690693113 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17379999999999535 " " y[1] (analytic) = 1.0150652403831195 " " y[1] (numeric) = 1.0127019242421902 " " absolute error = 2.363316140929328000E-3 " " relative error = 0.23282406360770797 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17389999999999534 " " y[1] (analytic) = 1.0150825379418316 " " y[1] (numeric) = 1.012712915389217 " " absolute error = 2.3696225526146364000E-3 " " relative error = 0.2334413669866938 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17399999999999533 " " y[1] (analytic) = 1.0150998453497184 " " y[1] (numeric) = 1.0127239082664918 " " absolute error = 2.375937083226587000E-3 " " relative error = 0.2340594468722471 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17409999999999531 " " y[1] (analytic) = 1.015117162606607 " " y[1] (numeric) = 1.0127349028750001 " " absolute error = 2.382259731606772800E-3 " " relative error = 0.2346783030925841 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1741999999999953 " " y[1] (analytic) = 1.0151344897123238 " " y[1] (numeric) = 1.0127458992157266 " " absolute error = 2.3885904965972315000E-3 " " relative error = 0.23529793547593164 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1742999999999953 " " y[1] (analytic) = 1.0151518266666955 " " y[1] (numeric) = 1.012756897289656 " " absolute error = 2.3949293770395563000E-3 " " relative error = 0.23591834385043992 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17439999999999528 " " y[1] (analytic) = 1.0151691734695492 " " y[1] (numeric) = 1.0127678970977732 " " absolute error = 2.4012763717760066000E-3 " " relative error = 0.2365395280442915 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17449999999999527 " " y[1] (analytic) = 1.0151865301207108 " " y[1] (numeric) = 1.012778898641063 " " absolute error = 2.4076314796477316000E-3 " " relative error = 0.23716148788552702 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17459999999999526 " " y[1] (analytic) = 1.0152038966200074 " " y[1] (numeric) = 1.0127899019205104 " " absolute error = 2.4139946994969907000E-3 " " relative error = 0.23778422320226308 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17469999999999525 " " y[1] (analytic) = 1.0152212729672652 " " y[1] (numeric) = 1.0128009069371002 " " absolute error = 2.4203660301649332000E-3 " " relative error = 0.23840773382247435 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17479999999999524 " " y[1] (analytic) = 1.0152386591623097 " " y[1] (numeric) = 1.0128119136918172 " " absolute error = 2.4267454704924862000E-3 " " relative error = 0.23903201957408066 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17489999999999523 " " y[1] (analytic) = 1.015256055204968 " " y[1] (numeric) = 1.012822922185646 " " absolute error = 2.4331330193221312000E-3 " " relative error = 0.23965708028512184 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17499999999999521 " " y[1] (analytic) = 1.0152734610950658 " " y[1] (numeric) = 1.0128339324195714 " " absolute error = 2.4395286754943513000E-3 " " relative error = 0.24028291578340827 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1750999999999952 " " y[1] (analytic) = 1.0152908768324287 " " y[1] (numeric) = 1.0128449443945782 " " absolute error = 2.4459324378505176000E-3 " " relative error = 0.24090952589680492 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1751999999999952 " " y[1] (analytic) = 1.015308302416883 " " y[1] (numeric) = 1.012855958111651 " " absolute error = 2.4523443052320015000E-3 " " relative error = 0.24153691045314385 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17529999999999518 " " y[1] (analytic) = 1.0153257378482543 " " y[1] (numeric) = 1.0128669735717746 " " absolute error = 2.45876427647973020E-3 " " relative error = 0.24216506928018064 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17539999999999517 " " y[1] (analytic) = 1.015343183126368 " " y[1] (numeric) = 1.0128779907759338 " " absolute error = 2.4651923504341866000E-3 " " relative error = 0.24279400220559444 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17549999999999516 " " y[1] (analytic) = 1.01536063825105 " " y[1] (numeric) = 1.012889009725113 " " absolute error = 2.471628525936964000E-3 " " relative error = 0.2434237090571408 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17559999999999515 " " y[1] (analytic) = 1.0153781032221256 " " y[1] (numeric) = 1.012900030420297 " " absolute error = 2.478072801828545800E-3 " " relative error = 0.24405418966243345 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17569999999999514 " " y[1] (analytic) = 1.0153955780394202 " " y[1] (numeric) = 1.0129110528624705 " " absolute error = 2.484525176949636800E-3 " " relative error = 0.2446854438490751 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17579999999999513 " " y[1] (analytic) = 1.015413062702759 " " y[1] (numeric) = 1.0129220770526182 " " absolute error = 2.490985650140942200E-3 " " relative error = 0.24531747144463573 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17589999999999512 " " y[1] (analytic) = 1.015430557211967 " " y[1] (numeric) = 1.0129331029917243 " " absolute error = 2.497454220242723000E-3 " " relative error = 0.2459502722766092 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1759999999999951 " " y[1] (analytic) = 1.0154480615668695 " " y[1] (numeric) = 1.0129441306807738 " " absolute error = 2.5039308860956844000E-3 " " relative error = 0.24658384617250018 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1760999999999951 " " y[1] (analytic) = 1.0154655757672915 " " y[1] (numeric) = 1.012955160120751 " " absolute error = 2.5104156465405314000E-3 " " relative error = 0.24721819295978076 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17619999999999508 " " y[1] (analytic) = 1.0154830998130577 " " y[1] (numeric) = 1.0129661913126404 " " absolute error = 2.516908500417303000E-3 " " relative error = 0.24785331246582495 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17629999999999507 " " y[1] (analytic) = 1.015500633703993 " " y[1] (numeric) = 1.0129772242574266 " " absolute error = 2.5234094465662604000E-3 " " relative error = 0.248489204517996 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17639999999999506 " " y[1] (analytic) = 1.0155181774399218 " " y[1] (numeric) = 1.0129882589560943 " " absolute error = 2.5299184838274424000E-3 " " relative error = 0.24912586894360272 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17649999999999505 " " y[1] (analytic) = 1.0155357310206687 " " y[1] (numeric) = 1.0129992954096279 " " absolute error = 2.536435611040888000E-3 " " relative error = 0.2497633055699214 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17659999999999504 " " y[1] (analytic) = 1.0155532944460584 " " y[1] (numeric) = 1.0130103336190117 " " absolute error = 2.5429608270466364000E-3 " " relative error = 0.2504015142241959 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17669999999999503 " " y[1] (analytic) = 1.0155708677159154 " " y[1] (numeric) = 1.0130213735852303 " " absolute error = 2.5494941306851704000E-3 " " relative error = 0.25104049473368095 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17679999999999502 " " y[1] (analytic) = 1.0155884508300632 " " y[1] (numeric) = 1.013032415309268 " " absolute error = 2.556035520795197000E-3 " " relative error = 0.2516802469254245 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.176899999999995 " " y[1] (analytic) = 1.0156060437883268 " " y[1] (numeric) = 1.0130434587921093 " " absolute error = 2.5625849962174210000E-3 " " relative error = 0.2523207706266384 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.176999999999995 " " y[1] (analytic) = 1.0156236465905302 " " y[1] (numeric) = 1.0130545040347387 " " absolute error = 2.569142555791437000E-3 " " relative error = 0.2529620656643928 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17709999999999498 " " y[1] (analytic) = 1.0156412592364967 " " y[1] (numeric) = 1.0130655510381406 " " absolute error = 2.5757081983561747000E-3 " " relative error = 0.25360413186566 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17719999999999497 " " y[1] (analytic) = 1.0156588817260506 " " y[1] (numeric) = 1.0130765998032991 " " absolute error = 2.5822819227514504000E-3 " " relative error = 0.2542469690574673 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17729999999999496 " " y[1] (analytic) = 1.0156765140590158 " " y[1] (numeric) = 1.0130876503311987 " " absolute error = 2.588863727817081000E-3 " " relative error = 0.2548905770668096 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17739999999999495 " " y[1] (analytic) = 1.015694156235216 " " y[1] (numeric) = 1.013098702622824 " " absolute error = 2.595453612391996000E-3 " " relative error = 0.25553495572056206 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17749999999999494 " " y[1] (analytic) = 1.0157118082544745 " " y[1] (numeric) = 1.013109756679159 " " absolute error = 2.602051575315567000E-3 " " relative error = 0.25618010484561127 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17759999999999493 " " y[1] (analytic) = 1.0157294701166149 " " y[1] (numeric) = 1.013120812501188 " " absolute error = 2.608657615426946000E-3 " " relative error = 0.25682602426878964 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17769999999999492 " " y[1] (analytic) = 1.0157471418214605 " " y[1] (numeric) = 1.0131318700898952 " " absolute error = 2.615271731565283000E-3 " " relative error = 0.2574727138168973 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1777999999999949 " " y[1] (analytic) = 1.0157648233688348 " " y[1] (numeric) = 1.0131429294462653 " " absolute error = 2.621893922569507000E-3 " " relative error = 0.25812017331668025 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1778999999999949 " " y[1] (analytic) = 1.0157825147585609 " " y[1] (numeric) = 1.013153990571282 " " absolute error = 2.628524187278769000E-3 " " relative error = 0.2587684025948741 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17799999999999488 " " y[1] (analytic) = 1.0158002159904618 " " y[1] (numeric) = 1.01316505346593 " " absolute error = 2.6351625245317756000E-3 " " relative error = 0.25941740147813863 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17809999999999487 " " y[1] (analytic) = 1.0158179270643606 " " y[1] (numeric) = 1.0131761181311931 " " absolute error = 2.6418089331674555000E-3 " " relative error = 0.2600671697931232 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17819999999999486 " " y[1] (analytic) = 1.0158356479800799 " " y[1] (numeric) = 1.0131871845680558 " " absolute error = 2.6484634120240713000E-3 " " relative error = 0.26071770736637967 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17829999999999485 " " y[1] (analytic) = 1.0158533787374429 " " y[1] (numeric) = 1.013198252777502 " " absolute error = 2.655125959940774000E-3 " " relative error = 0.26136901402451473 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17839999999999484 " " y[1] (analytic) = 1.015871119336272 " " y[1] (numeric) = 1.0132093227605163 " " absolute error = 2.661796575755604000E-3 " " relative error = 0.2620210895939941 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17849999999999483 " " y[1] (analytic) = 1.01588886977639 " " y[1] (numeric) = 1.0132203945180824 " " absolute error = 2.66847525830749000E-3 " " relative error = 0.2626739339013386 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17859999999999482 " " y[1] (analytic) = 1.0159066300576192 " " y[1] (numeric) = 1.0132314680511847 " " absolute error = 2.6751620064344730000E-3 " " relative error = 0.26332754677294956 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1786999999999948 " " y[1] (analytic) = 1.015924400179782 " " y[1] (numeric) = 1.013242543360807 " " absolute error = 2.681856818975037000E-3 " " relative error = 0.2639819280352401 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1787999999999948 " " y[1] (analytic) = 1.015942180142701 " " y[1] (numeric) = 1.0132536204479337 " " absolute error = 2.688559694767445000E-3 " " relative error = 0.2646370775145693 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17889999999999479 " " y[1] (analytic) = 1.015959969946198 " " y[1] (numeric) = 1.0132646993135486 " " absolute error = 2.6952706326495157000E-3 " " relative error = 0.26529299503722065 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17899999999999477 " " y[1] (analytic) = 1.0159777695900956 " " y[1] (numeric) = 1.0132757799586358 " " absolute error = 2.7019896314597336000E-3 " " relative error = 0.26594968042951106 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17909999999999476 " " y[1] (analytic) = 1.0159955790742152 " " y[1] (numeric) = 1.0132868623841795 " " absolute error = 2.708716690035695000E-3 " " relative error = 0.26660713351763826 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17919999999999475 " " y[1] (analytic) = 1.0160133983983792 " " y[1] (numeric) = 1.0132979465911636 " " absolute error = 2.715451807215663000E-3 " " relative error = 0.2672653541278334 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17929999999999474 " " y[1] (analytic) = 1.0160312275624088 " " y[1] (numeric) = 1.013309032580572 " " absolute error = 2.7221949818367897000E-3 " " relative error = 0.26792434208618665 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17939999999999473 " " y[1] (analytic) = 1.0160490665661266 " " y[1] (numeric) = 1.013320120353389 " " absolute error = 2.7289462127375597000E-3 " " relative error = 0.26858409721888704 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17949999999999472 " " y[1] (analytic) = 1.0160669154093536 " " y[1] (numeric) = 1.0133312099105982 " " absolute error = 2.7357054987553475000E-3 " " relative error = 0.26924461935198285 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1795999999999947 " " y[1] (analytic) = 1.0160847740919112 " " y[1] (numeric) = 1.0133423012531837 " " absolute error = 2.7424728387275277000E-3 " " relative error = 0.26990590831149036 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1796999999999947 " " y[1] (analytic) = 1.0161026426136215 " " y[1] (numeric) = 1.0133533943821296 " " absolute error = 2.7492482314919187000E-3 " " relative error = 0.2705679639234375 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1797999999999947 " " y[1] (analytic) = 1.016120520974305 " " y[1] (numeric) = 1.0133644892984195 " " absolute error = 2.756031675885451000E-3 " " relative error = 0.27123078601373346 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17989999999999468 " " y[1] (analytic) = 1.0161384091737835 " " y[1] (numeric) = 1.0133755860030373 " " absolute error = 2.762823170746165000E-3 " " relative error = 0.2718943744083644 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17999999999999466 " " y[1] (analytic) = 1.0161563072118778 " " y[1] (numeric) = 1.0133866844969672 " " absolute error = 2.769622714910547000E-3 " " relative error = 0.2725587289331321 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18009999999999465 " " y[1] (analytic) = 1.0161742150884088 " " y[1] (numeric) = 1.0133977847811928 " " absolute error = 2.7764303072159713000E-3 " " relative error = 0.2732238494138938 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18019999999999464 " " y[1] (analytic) = 1.016192132803198 " " y[1] (numeric) = 1.013408886856698 " " absolute error = 2.7832459465000350000E-3 " " relative error = 0.2738897356764968 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18029999999999463 " " y[1] (analytic) = 1.0162100603560655 " " y[1] (numeric) = 1.0134199907244663 " " absolute error = 2.7900696315992235000E-3 " " relative error = 0.27455638754664785 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18039999999999462 " " y[1] (analytic) = 1.0162279977468327 " " y[1] (numeric) = 1.013431096385482 " " absolute error = 2.79690136135069000E-3 " " relative error = 0.2752238048500871 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1804999999999946 " " y[1] (analytic) = 1.0162459449753198 " " y[1] (numeric) = 1.0134422038407287 " " absolute error = 2.8037411345911420000E-3 " " relative error = 0.27589198741247944 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1805999999999946 " " y[1] (analytic) = 1.0162639020413473 " " y[1] (numeric) = 1.01345331309119 " " absolute error = 2.810588950157289000E-3 " " relative error = 0.27656093505945845 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1806999999999946 " " y[1] (analytic) = 1.016281868944736 " " y[1] (numeric) = 1.0134644241378499 " " absolute error = 2.8174448068860600000E-3 " " relative error = 0.2772306476166475 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18079999999999458 " " y[1] (analytic) = 1.0162998456853058 " " y[1] (numeric) = 1.013475536981692 " " absolute error = 2.8243087036139425000E-3 " " relative error = 0.27790112490959495 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18089999999999457 " " y[1] (analytic) = 1.0163178322628774 " " y[1] (numeric) = 1.0134866516236998 " " absolute error = 2.831180639177644000E-3 " " relative error = 0.2785723667638393 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18099999999999455 " " y[1] (analytic) = 1.0163358286772706 " " y[1] (numeric) = 1.0134977680648574 " " absolute error = 2.838060612413207000E-3 " " relative error = 0.2792443730048221 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18109999999999454 " " y[1] (analytic) = 1.0163538349283054 " " y[1] (numeric) = 1.013508886306148 " " absolute error = 2.8449486221573395000E-3 " " relative error = 0.2799171434580187 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18119999999999453 " " y[1] (analytic) = 1.0163718510158017 " " y[1] (numeric) = 1.0135200063485559 " " absolute error = 2.851844667245862000E-3 " " relative error = 0.28059067794878584 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18129999999999452 " " y[1] (analytic) = 1.0163898769395798 " " y[1] (numeric) = 1.0135311281930641 " " absolute error = 2.8587487465157047000E-3 " " relative error = 0.2812649763025577 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1813999999999945 " " y[1] (analytic) = 1.0164079126994592 " " y[1] (numeric) = 1.0135422518406565 " " absolute error = 2.8656608588026880000E-3 " " relative error = 0.28194003834462794 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1814999999999945 " " y[1] (analytic) = 1.016425958295259 " " y[1] (numeric) = 1.0135533772923166 " " absolute error = 2.8725810029424090000E-3 " " relative error = 0.282615863900237 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1815999999999945 " " y[1] (analytic) = 1.0164440137267996 " " y[1] (numeric) = 1.0135645045490282 " " absolute error = 2.8795091777713555000E-3 " " relative error = 0.28329245279468107 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18169999999999448 " " y[1] (analytic) = 1.0164620789938998 " " y[1] (numeric) = 1.0135756336117747 " " absolute error = 2.8864453821251246000E-3 " " relative error = 0.2839698048531378 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18179999999999447 " " y[1] (analytic) = 1.0164801540963793 " " y[1] (numeric) = 1.0135867644815397 " " absolute error = 2.8933896148395366000E-3 " " relative error = 0.2846479199007751 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18189999999999446 " " y[1] (analytic) = 1.0164982390340573 " " y[1] (numeric) = 1.0135978971593067 " " absolute error = 2.9003418747506340000E-3 " " relative error = 0.2853267977627514 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18199999999999444 " " y[1] (analytic) = 1.0165163338067529 " " y[1] (numeric) = 1.0136090316460593 " " absolute error = 2.90730216069357000E-3 " " relative error = 0.28600643826410654 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18209999999999443 " " y[1] (analytic) = 1.016534438414285 " " y[1] (numeric) = 1.013620167942781 " " absolute error = 2.9142704715039436000E-3 " " relative error = 0.2866868412298928 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18219999999999442 " " y[1] (analytic) = 1.016552552856473 " " y[1] (numeric) = 1.0136313060504551 " " absolute error = 2.9212468060177965000E-3 " " relative error = 0.2873680064851745 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1822999999999944 " " y[1] (analytic) = 1.016570677133135 " " y[1] (numeric) = 1.0136424459700653 " " absolute error = 2.9282311630698390000E-3 " " relative error = 0.28804993385485417 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1823999999999944 " " y[1] (analytic) = 1.0165888112440906 " " y[1] (numeric) = 1.0136535877025947 " " absolute error = 2.9352235414958905000E-3 " " relative error = 0.2887326231639118 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1824999999999944 " " y[1] (analytic) = 1.0166069551891581 " " y[1] (numeric) = 1.013664731249027 " " absolute error = 2.9422239401311057000E-3 " " relative error = 0.2894160742372308 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18259999999999438 " " y[1] (analytic) = 1.016625108968156 " " y[1] (numeric) = 1.0136758766103453 " " absolute error = 2.9492323578106383000E-3 " " relative error = 0.2901002868996636 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18269999999999437 " " y[1] (analytic) = 1.0166432725809025 " " y[1] (numeric) = 1.0136870237875333 " " absolute error = 2.9562487933691983000E-3 " " relative error = 0.2907852609759876 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18279999999999436 " " y[1] (analytic) = 1.0166614460272165 " " y[1] (numeric) = 1.0136981727815741 " " absolute error = 2.963273245642384000E-3 " " relative error = 0.29147099629103623 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18289999999999434 " " y[1] (analytic) = 1.0166796293069162 " " y[1] (numeric) = 1.0137093235934513 " " absolute error = 2.9703057134649047000E-3 " " relative error = 0.2921574926695247 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18299999999999433 " " y[1] (analytic) = 1.0166978224198195 " " y[1] (numeric) = 1.0137204762241483 " " absolute error = 2.977346195671249000E-3 " " relative error = 0.29284474993611515 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18309999999999432 " " y[1] (analytic) = 1.0167160253657443 " " y[1] (numeric) = 1.0137316306746482 " " absolute error = 2.984394691096126000E-3 " " relative error = 0.2935327679154606 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1831999999999943 " " y[1] (analytic) = 1.016734238144509 " " y[1] (numeric) = 1.0137427869459343 " " absolute error = 2.9914511985746906000E-3 " " relative error = 0.2942215464322265 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1832999999999943 " " y[1] (analytic) = 1.0167524607559315 " " y[1] (numeric) = 1.0137539450389899 " " absolute error = 2.998515716941652000E-3 " " relative error = 0.29491108531100346 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1833999999999943 " " y[1] (analytic) = 1.0167706931998293 " " y[1] (numeric) = 1.0137651049547982 " " absolute error = 3.0055882450310545000E-3 " " relative error = 0.29560138437628597 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18349999999999428 " " y[1] (analytic) = 1.01678893547602 " " y[1] (numeric) = 1.0137762666943426 " " absolute error = 3.0126687816773856000E-3 " " relative error = 0.2962924434525809 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18359999999999427 " " y[1] (analytic) = 1.0168071875843214 " " y[1] (numeric) = 1.0137874302586063 " " absolute error = 3.0197573257151333000E-3 " " relative error = 0.29698426236436415 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18369999999999426 " " y[1] (analytic) = 1.0168254495245508 " " y[1] (numeric) = 1.0137985956485722 " " absolute error = 3.0268538759785635000E-3 " " relative error = 0.29767684093605895 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18379999999999425 " " y[1] (analytic) = 1.016843721296526 " " y[1] (numeric) = 1.0138097628652238 " " absolute error = 3.033958431302164000E-3 " " relative error = 0.29837017899207924 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18389999999999423 " " y[1] (analytic) = 1.016862002900064 " " y[1] (numeric) = 1.0138209319095441 " " absolute error = 3.0410709905197564000E-3 " " relative error = 0.2990642763567427 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18399999999999422 " " y[1] (analytic) = 1.0168802943349815 " " y[1] (numeric) = 1.0138321027825166 " " absolute error = 3.0481915524649406000E-3 " " relative error = 0.2997591328543144 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1840999999999942 " " y[1] (analytic) = 1.0168985956010963 " " y[1] (numeric) = 1.0138432754851239 " " absolute error = 3.0553201159724264000E-3 " " relative error = 0.3004547483091374 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1841999999999942 " " y[1] (analytic) = 1.016916906698225 " " y[1] (numeric) = 1.0138544500183495 " " absolute error = 3.0624566798755914000E-3 " " relative error = 0.301151122545393 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1842999999999942 " " y[1] (analytic) = 1.0169352276261852 " " y[1] (numeric) = 1.0138656263831762 " " absolute error = 3.0696012430089237000E-3 " " relative error = 0.3018482553873409 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18439999999999418 " " y[1] (analytic) = 1.0169535583847926 " " y[1] (numeric) = 1.0138768045805873 " " absolute error = 3.0767538042053566000E-3 " " relative error = 0.3025461466590573 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18449999999999417 " " y[1] (analytic) = 1.0169718989738645 " " y[1] (numeric) = 1.0138879846115658 " " absolute error = 3.083914362298712000E-3 " " relative error = 0.30324479618467476 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18459999999999416 " " y[1] (analytic) = 1.0169902493932175 " " y[1] (numeric) = 1.0138991664770947 " " absolute error = 3.0910829161228115000E-3 " " relative error = 0.3039442037882951 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18469999999999415 " " y[1] (analytic) = 1.0170086096426676 " " y[1] (numeric) = 1.013910350178157 " " absolute error = 3.0982594645105890000E-3 " " relative error = 0.3046443692939022 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18479999999999414 " " y[1] (analytic) = 1.017026979722032 " " y[1] (numeric) = 1.0139215357157358 " " absolute error = 3.1054440062960875000E-3 " " relative error = 0.30534529252555814 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18489999999999412 " " y[1] (analytic) = 1.0170453596311266 " " y[1] (numeric) = 1.0139327230908142 " " absolute error = 3.1126365403124634000E-3 " " relative error = 0.3060469733072072 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1849999999999941 " " y[1] (analytic) = 1.0170637493697674 " " y[1] (numeric) = 1.0139439123043748 " " absolute error = 3.11983706539265000E-3 " " relative error = 0.30674941146274115 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1850999999999941 " " y[1] (analytic) = 1.0170821489377708 " " y[1] (numeric) = 1.0139551033574008 " " absolute error = 3.1270455803700250000E-3 " " relative error = 0.30745260681606457 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1851999999999941 " " y[1] (analytic) = 1.0171005583349526 " " y[1] (numeric) = 1.013966296250875 " " absolute error = 3.1342620840775215000E-3 " " relative error = 0.30815655919100804 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18529999999999408 " " y[1] (analytic) = 1.017118977561129 " " y[1] (numeric) = 1.0139774909857804 " " absolute error = 3.1414865753485177000E-3 " " relative error = 0.3088612684114149 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18539999999999407 " " y[1] (analytic) = 1.0171374066161154 " " y[1] (numeric) = 1.0139886875631 " " absolute error = 3.148719053015503000E-3 " " relative error = 0.3095667343010109 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18549999999999406 " " y[1] (analytic) = 1.017155845499728 " " y[1] (numeric) = 1.0139998859838162 " " absolute error = 3.1559595159118550000E-3 " " relative error = 0.3102729566835782 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18559999999999405 " " y[1] (analytic) = 1.0171742942117818 " " y[1] (numeric) = 1.0140110862489125 " " absolute error = 3.1632079628693965000E-3 " " relative error = 0.31097993538271596 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18569999999999404 " " y[1] (analytic) = 1.017192752752093 " " y[1] (numeric) = 1.0140222883593712 " " absolute error = 3.170464392721728000E-3 " " relative error = 0.3116876702221672 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18579999999999403 " " y[1] (analytic) = 1.0172112211204767 " " y[1] (numeric) = 1.0140334923161756 " " absolute error = 3.1777288043011165000E-3 " " relative error = 0.3123961610255135 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18589999999999401 " " y[1] (analytic) = 1.0172296993167478 " " y[1] (numeric) = 1.014044698120308 " " absolute error = 3.1850011964398295000E-3 " " relative error = 0.31310540761630623 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.185999999999994 " " y[1] (analytic) = 1.017248187340722 " " y[1] (numeric) = 1.0140559057727514 " " absolute error = 3.1922815679705785000E-3 " " relative error = 0.3138154098181096 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.186099999999994 " " y[1] (analytic) = 1.0172666851922143 " " y[1] (numeric) = 1.0140671152744887 " " absolute error = 3.199569917725631000E-3 " " relative error = 0.31452616745441403 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18619999999999398 " " y[1] (analytic) = 1.01728519287104 " " y[1] (numeric) = 1.0140783266265023 " " absolute error = 3.2068662445376983000E-3 " " relative error = 0.3152376803487229 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18629999999999397 " " y[1] (analytic) = 1.0173037103770137 " " y[1] (numeric) = 1.0140895398297753 " " absolute error = 3.214170547238382000E-3 " " relative error = 0.3159499483244003 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18639999999999396 " " y[1] (analytic) = 1.01732223770995 " " y[1] (numeric) = 1.0141007548852903 " " absolute error = 3.221482824659727000E-3 " " relative error = 0.31666297120482373 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18649999999999395 " " y[1] (analytic) = 1.0173407748696643 " " y[1] (numeric) = 1.01411197179403 " " absolute error = 3.2288030756344455000E-3 " " relative error = 0.3173767488134053 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18659999999999394 " " y[1] (analytic) = 1.0173593218559707 " " y[1] (numeric) = 1.0141231905569768 " " absolute error = 3.236131298993916000E-3 " " relative error = 0.31809128097339645 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18669999999999393 " " y[1] (analytic) = 1.0173778786686838 " " y[1] (numeric) = 1.0141344111751136 " " absolute error = 3.2434674935701846000E-3 " " relative error = 0.31880656750808345 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18679999999999392 " " y[1] (analytic) = 1.017396445307618 " " y[1] (numeric) = 1.014145633649423 " " absolute error = 3.250811658195074000E-3 " " relative error = 0.3195226082407006 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1868999999999939 " " y[1] (analytic) = 1.017415021772588 " " y[1] (numeric) = 1.0141568579808877 " " absolute error = 3.258163791700186000E-3 " " relative error = 0.32023940299443004 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1869999999999939 " " y[1] (analytic) = 1.0174336080634074 " " y[1] (numeric) = 1.01416808417049 " " absolute error = 3.2655238929173436000E-3 " " relative error = 0.32095695159244564 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18709999999999388 " " y[1] (analytic) = 1.017452204179891 " " y[1] (numeric) = 1.0141793122192129 " " absolute error = 3.272891960678148000E-3 " " relative error = 0.321675253857869 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18719999999999387 " " y[1] (analytic) = 1.0174708101218526 " " y[1] (numeric) = 1.0141905421280386 " " absolute error = 3.280267993813979000E-3 " " relative error = 0.32239430961376997 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18729999999999386 " " y[1] (analytic) = 1.0174894258891058 " " y[1] (numeric) = 1.0142017738979499 " " absolute error = 3.287651991155993000E-3 " " relative error = 0.3231141186831663 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18739999999999385 " " y[1] (analytic) = 1.017508051481465 " " y[1] (numeric) = 1.014213007529929 " " absolute error = 3.295043951536014000E-3 " " relative error = 0.3238346808891111 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18749999999999384 " " y[1] (analytic) = 1.0175266868987436 " " y[1] (numeric) = 1.0142242430249586 " " absolute error = 3.302443873784977000E-3 " " relative error = 0.32455599605453994 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18759999999999383 " " y[1] (analytic) = 1.0175453321407553 " " y[1] (numeric) = 1.0142354803840212 " " absolute error = 3.309851756734039000E-3 " " relative error = 0.3252780640023803 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18769999999999382 " " y[1] (analytic) = 1.0175639872073137 " " y[1] (numeric) = 1.0142467196080993 " " absolute error = 3.3172675992143574000E-3 " " relative error = 0.3260008845555295 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1877999999999938 " " y[1] (analytic) = 1.0175826520982323 " " y[1] (numeric) = 1.0142579606981752 " " absolute error = 3.3246914000570893000E-3 " " relative error = 0.32672445753685475 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1878999999999938 " " y[1] (analytic) = 1.0176013268133242 " " y[1] (numeric) = 1.0142692036552314 " " absolute error = 3.3321231580927260000E-3 " " relative error = 0.327448782769128 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18799999999999378 " " y[1] (analytic) = 1.017620011352403 " " y[1] (numeric) = 1.0142804484802503 " " absolute error = 3.339562872152646000E-3 " " relative error = 0.32817386007517807 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18809999999999377 " " y[1] (analytic) = 1.0176387057152816 " " y[1] (numeric) = 1.0142916951742142 " " absolute error = 3.347010541067341000E-3 " " relative error = 0.3288996892777169 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18819999999999376 " " y[1] (analytic) = 1.017657409901773 " " y[1] (numeric) = 1.0143029437381057 " " absolute error = 3.3544661636673023000E-3 " " relative error = 0.32962627019942636 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18829999999999375 " " y[1] (analytic) = 1.0176761239116905 " " y[1] (numeric) = 1.014314194172907 " " absolute error = 3.3619297387834646000E-3 " " relative error = 0.33035360266300184 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18839999999999374 " " y[1] (analytic) = 1.0176948477448464 " " y[1] (numeric) = 1.0143254464796005 " " absolute error = 3.369401265245875000E-3 " " relative error = 0.3310816864910219 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18849999999999373 " " y[1] (analytic) = 1.0177135814010543 " " y[1] (numeric) = 1.0143367006591684 " " absolute error = 3.3768807418859126000E-3 " " relative error = 0.3318105215061655 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18859999999999372 " " y[1] (analytic) = 1.017732324880126 " " y[1] (numeric) = 1.014347956712593 " " absolute error = 3.3843681675329584000E-3 " " relative error = 0.33254010753088614 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1886999999999937 " " y[1] (analytic) = 1.0177510781818748 " " y[1] (numeric) = 1.0143592146408569 " " absolute error = 3.3918635410179476000E-3 " " relative error = 0.3332704443877595 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1887999999999937 " " y[1] (analytic) = 1.0177698413061125 " " y[1] (numeric) = 1.014370474444942 " " absolute error = 3.399366861170483000E-3 " " relative error = 0.334001531899201 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18889999999999368 " " y[1] (analytic) = 1.0177886142526518 " " y[1] (numeric) = 1.0143817361258305 " " absolute error = 3.4068781268212780000E-3 " " relative error = 0.3347333698877052 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18899999999999367 " " y[1] (analytic) = 1.017807397021305 " " y[1] (numeric) = 1.014392999684505 " " absolute error = 3.4143973368001570000E-3 " " relative error = 0.3354659581756494 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18909999999999366 " " y[1] (analytic) = 1.0178261896118843 " " y[1] (numeric) = 1.0144042651219471 " " absolute error = 3.421924489937167000E-3 " " relative error = 0.33619929658540315 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18919999999999365 " " y[1] (analytic) = 1.0178449920242016 " " y[1] (numeric) = 1.0144155324391395 " " absolute error = 3.4294595850621334000E-3 " " relative error = 0.33693338493928454 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18929999999999364 " " y[1] (analytic) = 1.0178638042580692 " " y[1] (numeric) = 1.0144268016370643 " " absolute error = 3.437002621004881000E-3 " " relative error = 0.33766822305958166 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18939999999999363 " " y[1] (analytic) = 1.0178826263132985 " " y[1] (numeric) = 1.0144380727167035 " " absolute error = 3.4445535965950125000E-3 " " relative error = 0.33840381076853143 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18949999999999362 " " y[1] (analytic) = 1.0179014581897015 " " y[1] (numeric) = 1.0144493456790393 " " absolute error = 3.452112510662131000E-3 " " relative error = 0.3391401478883408 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1895999999999936 " " y[1] (analytic) = 1.01792029988709 " " y[1] (numeric) = 1.0144606205250537 " " absolute error = 3.459679362036283000E-3 " " relative error = 0.33987723424123073 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1896999999999936 " " y[1] (analytic) = 1.0179391514052756 " " y[1] (numeric) = 1.014471897255729 " " absolute error = 3.467254149546628000E-3 " " relative error = 0.34061506964930544 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18979999999999358 " " y[1] (analytic) = 1.0179580127440695 " " y[1] (numeric) = 1.0144831758720472 " " absolute error = 3.4748368720223244000E-3 " " relative error = 0.3413536539346395 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18989999999999357 " " y[1] (analytic) = 1.0179768839032834 " " y[1] (numeric) = 1.0144944563749902 " " absolute error = 3.482427528293197000E-3 " " relative error = 0.3420929869193432 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18999999999999356 " " y[1] (analytic) = 1.0179957648827285 " " y[1] (numeric) = 1.0145057387655403 " " absolute error = 3.490026117188183000E-3 " " relative error = 0.3428330684254103 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19009999999999355 " " y[1] (analytic) = 1.0180146556822158 " " y[1] (numeric) = 1.0145170230446792 " " absolute error = 3.497632637536663000E-3 " " relative error = 0.34357389827484824 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19019999999999354 " " y[1] (analytic) = 1.0180335563015566 " " y[1] (numeric) = 1.014528309213389 " " absolute error = 3.5052470881675735000E-3 " " relative error = 0.34431547628959175 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19029999999999353 " " y[1] (analytic) = 1.0180524667405617 " " y[1] (numeric) = 1.0145395972726519 " " absolute error = 3.5128694679098516000E-3 " " relative error = 0.3450578022915457 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19039999999999352 " " y[1] (analytic) = 1.0180713869990423 " " y[1] (numeric) = 1.0145508872234494 " " absolute error = 3.520499775592878000E-3 " " relative error = 0.3458008761026293 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1904999999999935 " " y[1] (analytic) = 1.018090317076809 " " y[1] (numeric) = 1.0145621790667638 " " absolute error = 3.5281380100451454000E-3 " " relative error = 0.34654469754464506 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1905999999999935 " " y[1] (analytic) = 1.0181092569736725 " " y[1] (numeric) = 1.014573472803577 " " absolute error = 3.5357841700955905000E-3 " " relative error = 0.34728926643940955 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19069999999999349 " " y[1] (analytic) = 1.0181282066894433 " " y[1] (numeric) = 1.0145847684348708 " " absolute error = 3.543438254572484000E-3 " " relative error = 0.3480345826086448 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19079999999999347 " " y[1] (analytic) = 1.0181471662239323 " " y[1] (numeric) = 1.014596065961627 " " absolute error = 3.551100262305207000E-3 " " relative error = 0.348780645874152 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19089999999999346 " " y[1] (analytic) = 1.0181661355769493 " " y[1] (numeric) = 1.0146073653848278 " " absolute error = 3.5587701921215853000E-3 " " relative error = 0.34952745605755087 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19099999999999345 " " y[1] (analytic) = 1.018185114748305 " " y[1] (numeric) = 1.0146186667054546 " " absolute error = 3.5664480428503340000E-3 " " relative error = 0.35027501298051866 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19109999999999344 " " y[1] (analytic) = 1.0182041037378098 " " y[1] (numeric) = 1.0146299699244896 " " absolute error = 3.5741338133201683000E-3 " " relative error = 0.35102331646470336 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19119999999999343 " " y[1] (analytic) = 1.0182231025452733 " " y[1] (numeric) = 1.0146412750429143 " " absolute error = 3.581827502358914000E-3 " " relative error = 0.35177236633163655 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19129999999999342 " " y[1] (analytic) = 1.018242111170506 " " y[1] (numeric) = 1.0146525820617107 " " absolute error = 3.5895291087952863000E-3 " " relative error = 0.3525221624029076 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1913999999999934 " " y[1] (analytic) = 1.0182611296133173 " " y[1] (numeric) = 1.0146638909818606 " " absolute error = 3.5972386314566673000E-3 " " relative error = 0.3532727044999461 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1914999999999934 " " y[1] (analytic) = 1.0182801578735174 " " y[1] (numeric) = 1.0146752018043457 " " absolute error = 3.604956069171772000E-3 " " relative error = 0.35402399244428273 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1915999999999934 " " y[1] (analytic) = 1.018299195950916 " " y[1] (numeric) = 1.0146865145301476 " " absolute error = 3.6126814207684266000E-3 " " relative error = 0.35477602605733227 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19169999999999338 " " y[1] (analytic) = 1.0183182438453224 " " y[1] (numeric) = 1.014697829160248 " " absolute error = 3.620414685074458000E-3 " " relative error = 0.35552880516047997 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19179999999999336 " " y[1] (analytic) = 1.0183373015565467 " " y[1] (numeric) = 1.0147091456956288 " " absolute error = 3.6281558609179143000E-3 " " relative error = 0.3562823295751038 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19189999999999335 " " y[1] (analytic) = 1.0183563690843978 " " y[1] (numeric) = 1.0147204641372716 " " absolute error = 3.6359049471261784000E-3 " " relative error = 0.3570365991224873 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19199999999999334 " " y[1] (analytic) = 1.0183754464286852 " " y[1] (numeric) = 1.0147317844861579 " " absolute error = 3.6436619425272987000E-3 " " relative error = 0.3577916136239502 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19209999999999333 " " y[1] (analytic) = 1.018394533589218 " " y[1] (numeric) = 1.0147431067432695 " " absolute error = 3.6514268459484356000E-3 " " relative error = 0.3585473729006959 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19219999999999332 " " y[1] (analytic) = 1.0184136305658056 " " y[1] (numeric) = 1.014754430909588 " " absolute error = 3.6591996562176377000E-3 " " relative error = 0.35930387677398584 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1922999999999933 " " y[1] (analytic) = 1.018432737358257 " " y[1] (numeric) = 1.0147657569860948 " " absolute error = 3.6669803721620653000E-3 " " relative error = 0.3600611250649655 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1923999999999933 " " y[1] (analytic) = 1.018451853966381 " " y[1] (numeric) = 1.0147770849737718 " " absolute error = 3.674768992609101000E-3 " " relative error = 0.3608191175947729 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1924999999999933 " " y[1] (analytic) = 1.0184709803899863 " " y[1] (numeric) = 1.0147884148736004 " " absolute error = 3.682565516385905000E-3 " " relative error = 0.36157785418449534 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19259999999999328 " " y[1] (analytic) = 1.0184901166288816 " " y[1] (numeric) = 1.014799746686562 " " absolute error = 3.690369942319638000E-3 " " relative error = 0.3623373346551912 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19269999999999327 " " y[1] (analytic) = 1.0185092626828762 " " y[1] (numeric) = 1.014811080413638 " " absolute error = 3.698182269238126000E-3 " " relative error = 0.3630975588279549 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19279999999999325 " " y[1] (analytic) = 1.0185284185517778 " " y[1] (numeric) = 1.0148224160558106 " " absolute error = 3.7060024959671980000E-3 " " relative error = 0.36385852652365636 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19289999999999324 " " y[1] (analytic) = 1.0185475842353955 " " y[1] (numeric) = 1.0148337536140606 " " absolute error = 3.7138306213349015000E-3 " " relative error = 0.36462023756335393 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19299999999999323 " " y[1] (analytic) = 1.018566759733537 " " y[1] (numeric) = 1.0148450930893698 " " absolute error = 3.7216666441672874000E-3 " " relative error = 0.36538269176788146 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19309999999999322 " " y[1] (analytic) = 1.018585945046011 " " y[1] (numeric) = 1.0148564344827193 " " absolute error = 3.729510563291738000E-3 " " relative error = 0.3661458889581743 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1931999999999932 " " y[1] (analytic) = 1.0186051401726257 " " y[1] (numeric) = 1.014867777795091 " " absolute error = 3.7373623775347475000E-3 " " relative error = 0.36690982895505186 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1932999999999932 " " y[1] (analytic) = 1.018624345113189 " " y[1] (numeric) = 1.0148791230274659 " " absolute error = 3.7452220857230323000E-3 " " relative error = 0.3676745115793267 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1933999999999932 " " y[1] (analytic) = 1.0186435598675088 " " y[1] (numeric) = 1.0148904701808257 " " absolute error = 3.7530896866830865000E-3 " " relative error = 0.36843993665176045 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19349999999999318 " " y[1] (analytic) = 1.0186627844353928 " " y[1] (numeric) = 1.0149018192561516 " " absolute error = 3.7609651792411825000E-3 " " relative error = 0.36920610399306447 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19359999999999317 " " y[1] (analytic) = 1.0186820188166492 " " y[1] (numeric) = 1.014913170254425 " " absolute error = 3.7688485622242585000E-3 " " relative error = 0.36997301342398653 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19369999999999316 " " y[1] (analytic) = 1.018701263011085 " " y[1] (numeric) = 1.014924523176627 " " absolute error = 3.7767398344579206000E-3 " " relative error = 0.37074066476511514 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19379999999999314 " " y[1] (analytic) = 1.0187205170185085 " " y[1] (numeric) = 1.0149358780237392 " " absolute error = 3.7846389947693293000E-3 " " relative error = 0.37150905783716226 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19389999999999313 " " y[1] (analytic) = 1.0187397808387268 " " y[1] (numeric) = 1.0149472347967428 " " absolute error = 3.7925460419840906000E-3 " " relative error = 0.37227819246065896 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19399999999999312 " " y[1] (analytic) = 1.0187590544715475 " " y[1] (numeric) = 1.014958593496619 " " absolute error = 3.800460974928477000E-3 " " relative error = 0.3730480684561728 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940999999999931 " " y[1] (analytic) = 1.0187783379167772 " " y[1] (numeric) = 1.014969954124349 " " absolute error = 3.808383792428094000E-3 " " relative error = 0.37381868564417753 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1941999999999931 " " y[1] (analytic) = 1.0187976311742237 " " y[1] (numeric) = 1.0149813166809143 " " absolute error = 3.816314493309436000E-3 " " relative error = 0.37459004384520517 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1942999999999931 " " y[1] (analytic) = 1.018816934243694 " " y[1] (numeric) = 1.0149926811672958 " " absolute error = 3.8242530763981100000E-3 " " relative error = 0.3753621428796721 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19439999999999308 " " y[1] (analytic) = 1.0188362471249948 " " y[1] (numeric) = 1.015004047584475 " " absolute error = 3.8321995405197207000E-3 " " relative error = 0.37613498256796624 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19449999999999307 " " y[1] (analytic) = 1.0188555698179331 " " y[1] (numeric) = 1.0150154159334328 " " absolute error = 3.840153884500319000E-3 " " relative error = 0.37690856273049034 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19459999999999306 " " y[1] (analytic) = 1.0188749023223158 " " y[1] (numeric) = 1.0150267862151505 " " absolute error = 3.848116107165289000E-3 " " relative error = 0.3776828831875532 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19469999999999305 " " y[1] (analytic) = 1.0188942446379494 " " y[1] (numeric) = 1.0150381584306092 " " absolute error = 3.856086207340237000E-3 " " relative error = 0.3784579437594572 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19479999999999303 " " y[1] (analytic) = 1.0189135967646406 " " y[1] (numeric) = 1.01504953258079 " " absolute error = 3.8640641838505463000E-3 " " relative error = 0.3792337442664541 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19489999999999302 " " y[1] (analytic) = 1.0189329587021958 " " y[1] (numeric) = 1.015060908666674 " " absolute error = 3.8720500355218235000E-3 " " relative error = 0.3800102845287891 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.194999999999993 " " y[1] (analytic) = 1.0189523304504213 " " y[1] (numeric) = 1.0150722866892423 " " absolute error = 3.8800437611790084000E-3 " " relative error = 0.3807875643666137 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.195099999999993 " " y[1] (analytic) = 1.0189717120091237 " " y[1] (numeric) = 1.015083666649476 " " absolute error = 3.888045359647707000E-3 " " relative error = 0.3815655836001161 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.195199999999993 " " y[1] (analytic) = 1.018991103378109 " " y[1] (numeric) = 1.015095048548356 " " absolute error = 3.8960548297528597000E-3 " " relative error = 0.38234434204939094 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19529999999999298 " " y[1] (analytic) = 1.019010504557183 " " y[1] (numeric) = 1.0151064323868635 " " absolute error = 3.904072170319406000E-3 " " relative error = 0.38312383953450446 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19539999999999297 " " y[1] (analytic) = 1.019029915546152 " " y[1] (numeric) = 1.0151178181659795 " " absolute error = 3.912097380172508000E-3 " " relative error = 0.38390407587551617 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19549999999999296 " " y[1] (analytic) = 1.019049336344822 " " y[1] (numeric) = 1.0151292058866848 " " absolute error = 3.9201304581373275000E-3 " " relative error = 0.3846850508924573 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19559999999999295 " " y[1] (analytic) = 1.0190687669529983 " " y[1] (numeric) = 1.0151405955499604 " " absolute error = 3.928171403037916700E-3 " " relative error = 0.3854667644052222 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19569999999999294 " " y[1] (analytic) = 1.0190882073704874 " " y[1] (numeric) = 1.0151519871567873 " " absolute error = 3.9362202137001034000E-3 " " relative error = 0.3862492162338504 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19579999999999292 " " y[1] (analytic) = 1.019107657597094 " " y[1] (numeric) = 1.0151633807081464 " " absolute error = 3.9442768889477176000E-3 " " relative error = 0.38703240619815793 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1958999999999929 " " y[1] (analytic) = 1.0191271176326242 " " y[1] (numeric) = 1.0151747762050185 " " absolute error = 3.952341427605699000E-3 " " relative error = 0.387816334118041 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1959999999999929 " " y[1] (analytic) = 1.0191465874768832 " " y[1] (numeric) = 1.0151861736483847 " " absolute error = 3.9604138284985435000E-3 " " relative error = 0.38860099981332424 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960999999999929 " " y[1] (analytic) = 1.0191660671296763 " " y[1] (numeric) = 1.0151975730392258 " " absolute error = 3.968494090450525000E-3 " " relative error = 0.38938640310378225 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19619999999999288 " " y[1] (analytic) = 1.0191855565908088 " " y[1] (numeric) = 1.0152089743785224 " " absolute error = 3.9765822122863614000E-3 " " relative error = 0.39017254380920485 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19629999999999287 " " y[1] (analytic) = 1.0192050558600858 " " y[1] (numeric) = 1.0152203776672557 " " absolute error = 3.9846781928301045000E-3 " " relative error = 0.3909594217492885 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19639999999999286 " " y[1] (analytic) = 1.019224564937312 " " y[1] (numeric) = 1.0152317829064064 " " absolute error = 3.992782030905584000E-3 " " relative error = 0.39174703674368 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19649999999999285 " " y[1] (analytic) = 1.0192440838222927 " " y[1] (numeric) = 1.0152431900969552 " " absolute error = 4.000893725337517600E-3 " " relative error = 0.3925353886120846 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19659999999999284 " " y[1] (analytic) = 1.0192636125148324 " " y[1] (numeric) = 1.0152545992398827 " " absolute error = 4.009013274949735400E-3 " " relative error = 0.39332447717409275 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19669999999999283 " " y[1] (analytic) = 1.019283151014736 " " y[1] (numeric) = 1.01526601033617 " " absolute error = 4.017140678566067000E-3 " " relative error = 0.39411430224926675 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19679999999999281 " " y[1] (analytic) = 1.0193026993218082 " " y[1] (numeric) = 1.0152774233867976 " " absolute error = 4.025275935010564000E-3 " " relative error = 0.39490486365716254 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1968999999999928 " " y[1] (analytic) = 1.0193222574358534 " " y[1] (numeric) = 1.0152888383927463 " " absolute error = 4.033419043107056000E-3 " " relative error = 0.39569616121728624 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1969999999999928 " " y[1] (analytic) = 1.019341825356676 " " y[1] (numeric) = 1.0153002553549968 " " absolute error = 4.041570001679151000E-3 " " relative error = 0.3964881947490944 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19709999999999278 " " y[1] (analytic) = 1.0193614030840803 " " y[1] (numeric) = 1.0153116742745296 " " absolute error = 4.049728809550679000E-3 " " relative error = 0.39728096407203717 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19719999999999277 " " y[1] (analytic) = 1.0193809906178704 " " y[1] (numeric) = 1.0153230951523255 " " absolute error = 4.057895465544803000E-3 " " relative error = 0.39807446900547155 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19729999999999276 " " y[1] (analytic) = 1.019400587957851 " " y[1] (numeric) = 1.0153345179893651 " " absolute error = 4.066069968485797000E-3 " " relative error = 0.3988687093688351 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19739999999999275 " " y[1] (analytic) = 1.0194201951038253 " " y[1] (numeric) = 1.015345942786629 " " absolute error = 4.074252317196380700E-3 " " relative error = 0.39966368498138577 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19749999999999274 " " y[1] (analytic) = 1.0194398120555976 " " y[1] (numeric) = 1.0153573695450977 " " absolute error = 4.0824425104999396000E-3 " " relative error = 0.40045939566241834 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19759999999999273 " " y[1] (analytic) = 1.019459438812972 " " y[1] (numeric) = 1.015368798265752 " " absolute error = 4.090640547220081300E-3 " " relative error = 0.40125584123122154 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19769999999999271 " " y[1] (analytic) = 1.019479075375752 " " y[1] (numeric) = 1.0153802289495721 " " absolute error = 4.0988464261799695000E-3 " " relative error = 0.40205302150701294 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1977999999999927 " " y[1] (analytic) = 1.0194987217437412 " " y[1] (numeric) = 1.015391661597539 " " absolute error = 4.107060146202324000E-3 " " relative error = 0.40285093630893876 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1978999999999927 " " y[1] (analytic) = 1.0195183779167434 " " y[1] (numeric) = 1.0154030962106326 " " absolute error = 4.115281706110751600E-3 " " relative error = 0.40364958545620416 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19799999999999268 " " y[1] (analytic) = 1.0195380438945616 " " y[1] (numeric) = 1.015414532789834 " " absolute error = 4.123511104727528600E-3 " " relative error = 0.4044489687678563 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19809999999999267 " " y[1] (analytic) = 1.0195577196769992 " " y[1] (numeric) = 1.0154259713361233 " " absolute error = 4.131748340875818000E-3 " " relative error = 0.40524908606300153 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19819999999999266 " " y[1] (analytic) = 1.0195774052638598 " " y[1] (numeric) = 1.0154374118504812 " " absolute error = 4.139993413378562000E-3 " " relative error = 0.4060499371606965 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19829999999999265 " " y[1] (analytic) = 1.0195971006549462 " " y[1] (numeric) = 1.015448854333888 " " absolute error = 4.148246321058257600E-3 " " relative error = 0.4068515218799268 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19839999999999264 " " y[1] (analytic) = 1.0196168058500619 " " y[1] (numeric) = 1.015460298787324 " " absolute error = 4.156507062737846400E-3 " " relative error = 0.4076538400396938 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19849999999999263 " " y[1] (analytic) = 1.019636520849009 " " y[1] (numeric) = 1.0154717452117699 " " absolute error = 4.16477563723916000E-3 " " relative error = 0.4084568914588626 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19859999999999262 " " y[1] (analytic) = 1.0196562456515914 " " y[1] (numeric) = 1.0154831936082056 " " absolute error = 4.173052043385805400E-3 " " relative error = 0.40926067595644433 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1986999999999926 " " y[1] (analytic) = 1.019675980257611 " " y[1] (numeric) = 1.0154946439776118 " " absolute error = 4.1813362799991705000E-3 " " relative error = 0.4100651933512053 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1987999999999926 " " y[1] (analytic) = 1.019695724666871 " " y[1] (numeric) = 1.0155060963209688 " " absolute error = 4.189628345902196600E-3 " " relative error = 0.4108704434620362 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19889999999999258 " " y[1] (analytic) = 1.0197154788791736 " " y[1] (numeric) = 1.0155175506392569 " " absolute error = 4.197928239916715000E-3 " " relative error = 0.4116764261076917 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19899999999999257 " " y[1] (analytic) = 1.0197352428943214 " " y[1] (numeric) = 1.0155290069334564 " " absolute error = 4.206235960865001300E-3 " " relative error = 0.412483141106942 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19909999999999256 " " y[1] (analytic) = 1.019755016712117 " " y[1] (numeric) = 1.0155404652045474 " " absolute error = 4.214551507569553000E-3 " " relative error = 0.4132905882785518 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19919999999999255 " " y[1] (analytic) = 1.0197748003323621 " " y[1] (numeric) = 1.0155519254535104 " " absolute error = 4.222874878851756700E-3 " " relative error = 0.4140987674411497 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19929999999999254 " " y[1] (analytic) = 1.0197945937548594 " " y[1] (numeric) = 1.0155633876813255 " " absolute error = 4.2312060735338886000E-3 " " relative error = 0.4149076784134233 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19939999999999253 " " y[1] (analytic) = 1.0198143969794107 " " y[1] (numeric) = 1.015574851888973 " " absolute error = 4.23954509043777960E-3 " " relative error = 0.41571732101398967 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19949999999999252 " " y[1] (analytic) = 1.019834210005818 " " y[1] (numeric) = 1.015586318077433 " " absolute error = 4.247891928385039000E-3 " " relative error = 0.41652769506141646 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1995999999999925 " " y[1] (analytic) = 1.0198540328338832 " " y[1] (numeric) = 1.0155977862476857 " " absolute error = 4.2562465861974985000E-3 " " relative error = 0.41733880037426574 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1996999999999925 " " y[1] (analytic) = 1.019873865463408 " " y[1] (numeric) = 1.0156092564007113 " " absolute error = 4.264609062696767000E-3 " " relative error = 0.4181506367710504 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19979999999999248 " " y[1] (analytic) = 1.019893707894194 " " y[1] (numeric) = 1.01562072853749 " " absolute error = 4.27297935670401000E-3 " " relative error = 0.41896320407021254 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19989999999999247 " " y[1] (analytic) = 1.0199135601260434 " " y[1] (numeric) = 1.015632202659002 " " absolute error = 4.281357467041502000E-3 " " relative error = 0.41977650209027534 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19999999999999246 " " y[1] (analytic) = 1.0199334221587568 " " y[1] (numeric) = 1.0156436787662269 " " absolute error = 4.2897433925299655000E-3 " " relative error = 0.42059053064958285 "%" h = 1.0000E-4 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 2 ) = sin(x);" Iterations = 1000 "Total Elapsed Time "= 11 Minutes 27 Seconds "Elapsed Time(since restart) "= 11 Minutes 27 Seconds "Expected Time Remaining "= 9 Hours 9 Minutes 26 Seconds "Optimized Time Remaining "= 9 Hours 9 Minutes 17 Seconds "Time to Timeout "= 3 Minutes 32 Seconds Percent Done = 2.0428571428569886 "%" (%o52) true (%o52) diffeq.max