(%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 - 3 + 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 - 3 + 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 - 3 + 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 - 3 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! > ! 1, n! glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 elseif (!array_y_higher ! >= glob_large_float) ! 1, m! or (!array_y_higher ! >= glob_large_float) ! 1, m - 1! or (!array_y_higher ! >= glob_large_float) ! 1, m - 2! or (!array_y_higher ! >= glob_large_float) ! 1, m - 3! or (!array_y_higher ! >= glob_large_float) ! 1, m - 4! or (!array_y_higher ! >= glob_large_float) ! 1, m - 5! then (array_complex_pole : glob_large_float, 1, 1 array_complex_pole : glob_large_float) 1, 2 array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float) rm4 rm3 rm2 or (abs(dr1) <= glob_small_float) then (array_complex_pole : 1, 1 glob_large_float, array_complex_pole : glob_large_float) 1, 2 else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_pole : rad_c, 1, 1 array_complex_pole : ord_no), found : false, 1, 2 if (not found) and ((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float)) 1, 1 1, 2 and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0)) 1, 1 1, 2 then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , found : true, array_type_pole : 2, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if (not found) and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float) 1, 1 1, 2 and (array_real_pole > 0.0) and (array_real_pole > 0.0) 1, 1 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0))) 1, 1 1, 2 1, 1 1, 2 then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and (((array_real_pole = glob_large_float) 1, 1 or (array_real_pole = glob_large_float)) 1, 2 and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float))) 1, 1 1, 2 then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found : true, array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), if (not found) and ((array_real_pole < array_complex_pole ) 1, 1 1, 1 and (array_real_pole > 0.0) and (array_real_pole > 1, 1 1, 2 0.0)) then (array_poles : array_real_pole , 1, 1 1, 1 array_poles : array_real_pole , found : true, array_type_pole : 1, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")), if (not found) and ((array_complex_pole # glob_large_float) 1, 1 and (array_complex_pole # glob_large_float) 1, 2 and (array_complex_pole > 0.0) and (array_complex_pole > 1, 1 1, 2 0.0)) then (array_poles : array_complex_pole , 1, 1 1, 1 array_poles : array_complex_pole , array_type_pole : 2, found : true, 1, 2 1, 2 1 if glob_display_flag then omniout_str(ALWAYS, "Complex estimate of poles used")), if not found then (array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 array_type_pole : 3, if glob_display_flag 1 then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float, 1 array_pole : glob_large_float, if array_pole > array_poles 2 1 1, 1 then (array_pole : array_poles , array_pole : array_poles ), 1 1, 1 2 1, 2 display_pole()) (%i7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%o7) get_norms() := if not glob_initial_pass then (set_z(array_norms, 1 + glob_max_terms), iii : 1, while iii <= glob_max_terms do (if !array_y ! > array_norms ! iii! iii then array_norms : !array_y !, iii : 1 + iii)) iii ! iii! (%i8) atomall() := (array_tmp1 : array_y_higher , 1 2, 1 array_tmp2 : array_m1 array_tmp1 , array_tmp3 : 1 1 1 1 array_tmp2 + array_const_0D0 , if not array_y_set_initial 1 1 1, 4 then (if 1 <= glob_max_terms then (temporary : 3 array_tmp3 glob_h factorial_3(0, 3), array_y : temporary, 1 4 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h temporary 3.0 array_y_higher : temporary, temporary : -------------, 2, 3 glob_h temporary 4.0 array_y_higher : temporary, temporary : -------------, 3, 2 glob_h array_y_higher : temporary)), kkk : 2, array_tmp1 : array_y_higher , 4, 1 2 2, 2 array_tmp2 : ats(2, array_m1, array_tmp1, 1), 2 array_tmp3 : array_tmp2 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp3 glob_h factorial_3(1, 4), 2 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, glob_h 3, 3 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 4, 2 array_tmp1 : array_y_higher , array_tmp2 : 3 2, 3 3 ats(3, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp3 glob_h factorial_3(2, 5), 3 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, glob_h 3, 4 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 4, 3 array_tmp1 : array_y_higher , array_tmp2 : 4 2, 4 4 ats(4, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp3 glob_h factorial_3(3, 6), 4 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, glob_h 3, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 4, 4 array_tmp1 : array_y_higher , array_tmp2 : 5 2, 5 5 ats(5, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp3 glob_h factorial_3(4, 7), 5 array_y : temporary, array_y_higher : temporary, 8 1, 8 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 7 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 6 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 4, 5 while kkk <= glob_max_terms do (array_tmp1 : array_y_higher , kkk 2, kkk array_tmp2 : ats(kkk, array_m1, array_tmp1, 1), kkk array_tmp3 : array_tmp2 + array_const_0D0 , order_d : 3, 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_tmp3 glob_h kkk then (temporary : -----------------------------------------, factorial_3(kkk - 1, - 1 + order_d + kkk) array_y : temporary, array_y_higher : temporary, order_d + kkk 1, order_d + kkk term : - 1 + order_d + kkk, adj2 : 2, while (adj2 <= 1 + order_d) temporary convfp(adj2) and (term >= 1) do (temporary : ----------------------, glob_h array_y_higher : temporary, adj2 : 1 + adj2, term : term - 1))), adj2, term kkk : 1 + kkk)) (%o8) atomall() := (array_tmp1 : array_y_higher , 1 2, 1 array_tmp2 : array_m1 array_tmp1 , array_tmp3 : 1 1 1 1 array_tmp2 + array_const_0D0 , if not array_y_set_initial 1 1 1, 4 then (if 1 <= glob_max_terms then (temporary : 3 array_tmp3 glob_h factorial_3(0, 3), array_y : temporary, 1 4 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 4 glob_h temporary 3.0 array_y_higher : temporary, temporary : -------------, 2, 3 glob_h temporary 4.0 array_y_higher : temporary, temporary : -------------, 3, 2 glob_h array_y_higher : temporary)), kkk : 2, array_tmp1 : array_y_higher , 4, 1 2 2, 2 array_tmp2 : ats(2, array_m1, array_tmp1, 1), 2 array_tmp3 : array_tmp2 + array_const_0D0 , 2 2 2 if not array_y_set_initial then (if 2 <= glob_max_terms 1, 5 3 then (temporary : array_tmp3 glob_h factorial_3(1, 4), 2 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, glob_h 3, 3 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 3, glob_h 4, 2 array_tmp1 : array_y_higher , array_tmp2 : 3 2, 3 3 ats(3, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 3 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 6 3 then (temporary : array_tmp3 glob_h factorial_3(2, 5), 3 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, glob_h 3, 4 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 4, glob_h 4, 3 array_tmp1 : array_y_higher , array_tmp2 : 4 2, 4 4 ats(4, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 4 4 4 if not array_y_set_initial then (if 4 <= glob_max_terms 1, 7 3 then (temporary : array_tmp3 glob_h factorial_3(3, 6), 4 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, glob_h 3, 5 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 5, glob_h 4, 4 array_tmp1 : array_y_higher , array_tmp2 : 5 2, 5 5 ats(5, array_m1, array_tmp1, 1), array_tmp3 : array_tmp2 + array_const_0D0 , 5 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 8 3 then (temporary : array_tmp3 glob_h factorial_3(4, 7), 5 array_y : temporary, array_y_higher : temporary, 8 1, 8 temporary 2.0 temporary : -------------, array_y_higher : temporary, glob_h 2, 7 temporary 3.0 temporary : -------------, array_y_higher : temporary, glob_h 3, 6 temporary 4.0 temporary : -------------, array_y_higher : temporary)), kkk : 6, glob_h 4, 5 while kkk <= glob_max_terms do (array_tmp1 : array_y_higher , kkk 2, kkk array_tmp2 : ats(kkk, array_m1, array_tmp1, 1), kkk array_tmp3 : array_tmp2 + array_const_0D0 , order_d : 3, 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_tmp3 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) exact_soln_ypp(x) := cos(x) (%o51) exact_soln_ypp(x) := cos(x) (%i52) exact_soln_yppp(x) := - sin(x) (%o52) exact_soln_yppp(x) := - sin(x) (%i53) mainprog() := (define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_max_minutes, 0.0, float), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_warned, false, boolean), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(hours_in_day, 24.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(years_in_century, 100.0, float), define_variable(days_in_year, 365.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(djd_debug2, true, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_max_sec, 10000.0, float), 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_html_log, true, boolean), define_variable(glob_look_poles, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_percent_done, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/diff2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), 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, "array_y_init[2 + 1] : exact_soln_ypp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), 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, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "cos(x)"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yppp (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 : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_y_higher_work, 1 + 4, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 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_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), 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 <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 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_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_3 : 0.0, term : 1 + term), term array_const_3 : 3, 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), 1 + 1 array_y_init : exact_soln_ypp(x_start), glob_h : 0.001, 1 + 2 glob_look_poles : true, 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 : true, 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 : 3, 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 : 3, ord : 4, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 4, iii array_y_higher 4, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 4, 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 : 3, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 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 : 3, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 3, 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 : 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 : 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 : 4, 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 : 4, 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 , 3 ) = m1 * diff ( y , x , 1 ) ;"), 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, "2012-06-13T13:12:15-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff2"), logitem_str(html_log_file, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), 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, "diff2 diffeq.max"), logitem_str(html_log_file, "diff2 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)) (%o53) mainprog() := (define_variable(INFO, 2, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(glob_max_terms, 30, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(glob_max_minutes, 0.0, float), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_h, 0.1, float), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_warned, false, boolean), define_variable(glob_log10_relerr, 1.0E-11, float), define_variable(glob_hmax, 1.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(hours_in_day, 24.0, float), define_variable(glob_dump, false, boolean), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_normmax, 0.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_warned2, false, boolean), define_variable(glob_small_float, 1.0E-51, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_hmin_init, 0.001, float), define_variable(years_in_century, 100.0, float), define_variable(days_in_year, 365.0, float), define_variable(djd_debug, true, boolean), define_variable(glob_log10_abserr, 1.0E-11, float), define_variable(centuries_in_millinium, 10.0, float), define_variable(glob_log10normmin, 0.1, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_dump_analytic, false, boolean), define_variable(djd_debug2, true, boolean), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_hours, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(min_in_hour, 60.0, float), define_variable(glob_log10abserr, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_max_sec, 10000.0, float), 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_html_log, true, boolean), define_variable(glob_look_poles, false, boolean), define_variable(sec_in_min, 60.0, float), define_variable(glob_display_flag, true, boolean), define_variable(glob_iter, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_smallish_float, 1.0E-101, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_hmin, 1.0E-11, float), define_variable(glob_initial_pass, true, boolean), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_almost_1, 0.999, float), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_log10relerr, 0.0, float), define_variable(glob_percent_done, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/diff2postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 32,"), omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start : 0.1,"), 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, "array_y_init[2 + 1] : exact_soln_ypp(x_start),"), omniout_str(ALWAYS, "glob_h : 0.001 ,"), omniout_str(ALWAYS, "glob_look_poles : true,"), 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, "exact_soln_ypp (x) := ("), omniout_str(ALWAYS, "cos(x)"), omniout_str(ALWAYS, ");"), omniout_str(ALWAYS, "exact_soln_yppp (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 : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms), array(array_1st_rel_error, 1 + max_terms), array(array_type_pole, 1 + max_terms), array(array_last_rel_error, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_pole, 1 + max_terms), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_real_pole, 1 + 1, 1 + 3), array(array_y_higher, 1 + 4, 1 + max_terms), array(array_poles, 1 + 1, 1 + 3), array(array_complex_pole, 1 + 1, 1 + 3), array(array_y_higher_work2, 1 + 4, 1 + max_terms), array(array_y_higher_work, 1 + 4, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp3 : 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_type_pole : 0.0, term : 1 + term), term : 1, term while term <= max_terms do (array_last_rel_error : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), 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 <= 1 do (term : 1, while term <= 3 do (array_real_pole : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1, while term <= 3 do (array_complex_pole : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 4 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_tmp3, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term), term array(array_tmp2, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 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_1, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_3, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_3 : 0.0, term : 1 + term), term array_const_3 : 3, 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), 1 + 1 array_y_init : exact_soln_ypp(x_start), glob_h : 0.001, 1 + 2 glob_look_poles : true, 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 : true, 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 : 3, 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 : 3, ord : 4, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 4, iii array_y_higher 4, iii -------------------- calc_term - 1 glob_h -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 4, 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 : 3, calc_term : 2, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 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 : 3, calc_term : 1, iii : glob_max_terms, convfp(calc_term - 1)! 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 : 3, 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 : 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 : 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 : 4, 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 : 4, 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 , 3 ) = m1 * diff ( y , x , 1 ) ;"), 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, "2012-06-13T13:12:15-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff2"), logitem_str(html_log_file, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;"), 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, "diff2 diffeq.max"), logitem_str(html_log_file, "diff2 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)) (%i54) mainprog() "##############ECHO OF PROBLEM#################" "##############temp/diff2postode.ode#################" "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits : 32," "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)," "array_y_init[2 + 1] : exact_soln_ypp(x_start)," "glob_h : 0.001 ," "glob_look_poles : true," "/* 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)" ");" "exact_soln_ypp (x) := (" "cos(x)" ");" "exact_soln_yppp (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) = 1.0050058230386432 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10020000000000001 " " y[1] (analytic) = 1.0050158213052538 " " y[1] (numeric) = 1.0050158213052538 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10030000000000001 " " y[1] (analytic) = 1.0050258295217063 " " y[1] (numeric) = 1.0050258295217063 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10040000000000002 " " y[1] (analytic) = 1.0050358476879002 " " y[1] (numeric) = 1.0050358476879004 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.209320248982642700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10050000000000002 " " y[1] (analytic) = 1.0050458758037357 " " y[1] (numeric) = 1.0050458758037362 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.418596409789994000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10060000000000002 " " y[1] (analytic) = 1.0050559138691129 " " y[1] (numeric) = 1.005055913869113 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20927613937653920000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10070000000000003 " " y[1] (analytic) = 1.0050659618839304 " " y[1] (numeric) = 1.0050659618839308 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.4185081048575800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10080000000000003 " " y[1] (analytic) = 1.0050760198480884 " " y[1] (numeric) = 1.0050760198480888 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41846388810653600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10090000000000003 " " y[1] (analytic) = 1.0050860877614864 " " y[1] (numeric) = 1.0050860877614867 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.209209814251492700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10100000000000003 " " y[1] (analytic) = 1.0050961656240234 " " y[1] (numeric) = 1.0050961656240236 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.209187663024988500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10110000000000004 " " y[1] (analytic) = 1.0051062534355988 " " y[1] (numeric) = 1.005106253435599 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20916549037527800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10120000000000004 " " y[1] (analytic) = 1.0051163511961114 " " y[1] (numeric) = 1.0051163511961119 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41828659260777400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10130000000000004 " " y[1] (analytic) = 1.0051264589054607 " " y[1] (numeric) = 1.0051264589054612 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41824216162468300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10140000000000005 " " y[1] (analytic) = 1.0051365765635454 " " y[1] (numeric) = 1.0051365765635458 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.4181976878043400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10150000000000005 " " y[1] (analytic) = 1.0051467041702642 " " y[1] (numeric) = 1.0051467041702646 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41815317114980340000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10160000000000005 " " y[1] (analytic) = 1.0051568417255161 " " y[1] (numeric) = 1.0051568417255166 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.418108611664135000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10170000000000005 " " y[1] (analytic) = 1.0051669892291994 " " y[1] (numeric) = 1.0051669892292 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41806400935039900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10180000000000006 " " y[1] (analytic) = 1.0051771466812132 " " y[1] (numeric) = 1.0051771466812134 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.209009682105831400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10190000000000006 " " y[1] (analytic) = 1.005187314081455 " " y[1] (numeric) = 1.0051873140814553 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41797467625099800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10200000000000006 " " y[1] (analytic) = 1.0051974914298238 " " y[1] (numeric) = 1.0051974914298243 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41792994547147600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10210000000000007 " " y[1] (analytic) = 1.0052076787262179 " " y[1] (numeric) = 1.0052076787262183 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.417885171876173600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10220000000000007 " " y[1] (analytic) = 1.005217875970535 " " y[1] (numeric) = 1.0052178759705355 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41784035546816900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10230000000000007 " " y[1] (analytic) = 1.0052280831626734 " " y[1] (numeric) = 1.0052280831626739 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.417795496250544500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10240000000000007 " " y[1] (analytic) = 1.0052383003025311 " " y[1] (numeric) = 1.0052383003025314 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208875297113191400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10250000000000008 " " y[1] (analytic) = 1.0052485273900056 " " y[1] (numeric) = 1.0052485273900058 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20885282469938720000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10260000000000008 " " y[1] (analytic) = 1.0052587644249948 " " y[1] (numeric) = 1.005258764424995 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208830330885403200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10270000000000008 " " y[1] (analytic) = 1.0052690114073966 " " y[1] (numeric) = 1.0052690114073968 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208807815672786400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10280000000000009 " " y[1] (analytic) = 1.005279268337108 " " y[1] (numeric) = 1.0052792683371083 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.417570558126170400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10290000000000009 " " y[1] (analytic) = 1.0052895352140268 " " y[1] (numeric) = 1.0052895352140272 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41752544211569600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10300000000000009 " " y[1] (analytic) = 1.00529981203805 " " y[1] (numeric) = 1.0052998120380505 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.417480283317253000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1031000000000001 " " y[1] (analytic) = 1.0053100988090755 " " y[1] (numeric) = 1.0053100988090757 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208717540866971300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1032000000000001 " " y[1] (analytic) = 1.0053203955269998 " " y[1] (numeric) = 1.005320395527 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208694918684437300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1033000000000001 " " y[1] (analytic) = 1.0053307021917202 " " y[1] (numeric) = 1.0053307021917204 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20867227511257900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1034000000000001 " " y[1] (analytic) = 1.0053410188031333 " " y[1] (numeric) = 1.0053410188031338 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.417299220305906400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1035000000000001 " " y[1] (analytic) = 1.0053513453611367 " " y[1] (numeric) = 1.005351345361137 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208626923807116300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10360000000000011 " " y[1] (analytic) = 1.0053616818656264 " " y[1] (numeric) = 1.0053616818656266 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20860421607662900000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10370000000000011 " " y[1] (analytic) = 1.005372028316499 " " y[1] (numeric) = 1.0053720283164993 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208581486963051800000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10380000000000011 " " y[1] (analytic) = 1.0053823847136516 " " y[1] (numeric) = 1.0053823847136518 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208558736467946300000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10390000000000012 " " y[1] (analytic) = 1.0053927510569802 " " y[1] (numeric) = 1.0053927510569804 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20853596459287600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10400000000000012 " " y[1] (analytic) = 1.0054031273463815 " " y[1] (numeric) = 1.0054031273463815 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10410000000000012 " " y[1] (analytic) = 1.0054135135817512 " " y[1] (numeric) = 1.0054135135817512 " " absolute error = 0.0 " " relative error = 0.0 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10420000000000013 " " y[1] (analytic) = 1.0054239097629862 " " y[1] (numeric) = 1.005423909762986 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20846752070353120000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10430000000000013 " " y[1] (analytic) = 1.0054343158899819 " " y[1] (numeric) = 1.0054343158899817 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208444663324264400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10440000000000013 " " y[1] (analytic) = 1.0054447319626343 " " y[1] (numeric) = 1.005444731962634 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208421784572871500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10450000000000013 " " y[1] (analytic) = 1.0054551579808395 " " y[1] (numeric) = 1.005455157980839 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41679776890184700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10460000000000014 " " y[1] (analytic) = 1.005465593944493 " " y[1] (numeric) = 1.0054655939444925 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.416751925919990600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10470000000000014 " " y[1] (analytic) = 1.0054760398534905 " " y[1] (numeric) = 1.00547603985349 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.416706040203320400000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10480000000000014 " " y[1] (analytic) = 1.0054864957077276 " " y[1] (numeric) = 1.0054864957077272 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.41666011175499100000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10490000000000015 " " y[1] (analytic) = 1.0054969615071 " " y[1] (numeric) = 1.0054969615070994 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.62492121086723200000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10500000000000015 " " y[1] (analytic) = 1.0055074372515027 " " y[1] (numeric) = 1.005507437251502 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.62485219001395700000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10510000000000015 " " y[1] (analytic) = 1.0055179229408306 " " y[1] (numeric) = 1.0055179229408302 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.416522070051604000000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10520000000000015 " " y[1] (analytic) = 1.0055284185749798 " " y[1] (numeric) = 1.005528418574979 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.62471395606231600000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10530000000000016 " " y[1] (analytic) = 1.0055389241538446 " " y[1] (numeric) = 1.0055389241538437 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.83285965729792500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10540000000000016 " " y[1] (analytic) = 1.0055494396773201 " " y[1] (numeric) = 1.0055494396773192 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.83276728775405500000000000000E-14 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10550000000000016 " " y[1] (analytic) = 1.0055599651453013 " " y[1] (numeric) = 1.0055599651453002 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.10408435409889410000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10560000000000017 " " y[1] (analytic) = 1.005570500557683 " " y[1] (numeric) = 1.0055705005576816 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.32488734386233570000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10570000000000017 " " y[1] (analytic) = 1.0055810459143593 " " y[1] (numeric) = 1.005581045914358 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.324873449995049900000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10580000000000017 " " y[1] (analytic) = 1.0055916012152253 " " y[1] (numeric) = 1.0055916012152237 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.54566946720406440000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10590000000000017 " " y[1] (analytic) = 1.005602166460175 " " y[1] (numeric) = 1.0056021664601735 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.5456532278033580000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10600000000000018 " " y[1] (analytic) = 1.0056127416491036 " " y[1] (numeric) = 1.0056127416491016 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.98724753730556800000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10610000000000018 " " y[1] (analytic) = 1.0056233267819046 " " y[1] (numeric) = 1.0056233267819024 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.20802957739252430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10620000000000018 " " y[1] (analytic) = 1.005633921858472 " " y[1] (numeric) = 1.0056339218584698 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.2080063142130240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10630000000000019 " " y[1] (analytic) = 1.0056445268787004 " " y[1] (numeric) = 1.005644526878698 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.42878133266065530000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10640000000000019 " " y[1] (analytic) = 1.0056551418424835 " " y[1] (numeric) = 1.0056551418424808 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.64955166859547950000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10650000000000019 " " y[1] (analytic) = 1.0056657667497153 " " y[1] (numeric) = 1.0056657667497122 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 3.091110955280330000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1066000000000002 " " y[1] (analytic) = 1.0056764016002893 " " y[1] (numeric) = 1.005676401600286 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.3118695721362460000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1067000000000002 " " y[1] (analytic) = 1.0056870463940992 " " y[1] (numeric) = 1.0056870463940957 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 3.53262348514758240000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1068000000000002 " " y[1] (analytic) = 1.0056977011310386 " " y[1] (numeric) = 1.0056977011310348 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 3.75337268791638150000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1069000000000002 " " y[1] (analytic) = 1.0057083658110013 " " y[1] (numeric) = 1.005708365810997 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 4.1949014614922930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1070000000000002 " " y[1] (analytic) = 1.0057190404338798 " " y[1] (numeric) = 1.0057190404338756 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 4.19485693713776250000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10710000000000021 " " y[1] (analytic) = 1.0057297249995685 " " y[1] (numeric) = 1.0057297249995636 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 4.8571511678774190000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10720000000000021 " " y[1] (analytic) = 1.0057404195079596 " " y[1] (numeric) = 1.0057404195079545 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 5.0778767704038790000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10730000000000021 " " y[1] (analytic) = 1.0057511239589465 " " y[1] (numeric) = 1.005751123958941 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 5.5193725275442720000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10740000000000022 " " y[1] (analytic) = 1.0057618383524223 " " y[1] (numeric) = 1.0057618383524163 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 5.9608588279674880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10750000000000022 " " y[1] (analytic) = 1.0057725626882794 " " y[1] (numeric) = 1.0057725626882732 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 6.1815654637496790000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10760000000000022 " " y[1] (analytic) = 1.0057832969664111 " " y[1] (numeric) = 1.0057832969664044 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 6.6230351685522170000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10770000000000023 " " y[1] (analytic) = 1.00579404118671 " " y[1] (numeric) = 1.0057940411867026 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.2852608610412340000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10780000000000023 " " y[1] (analytic) = 1.005804795349068 " " y[1] (numeric) = 1.0058047953490603 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 7.7267092067093880000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10790000000000023 " " y[1] (analytic) = 1.0058155594533784 " " y[1] (numeric) = 1.00581555945337 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 8.3889087893378270000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10800000000000023 " " y[1] (analytic) = 1.0058263334995332 " " y[1] (numeric) = 1.005826333499524 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 9.0510941091109430000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10810000000000024 " " y[1] (analytic) = 1.0058371174874245 " " y[1] (numeric) = 1.0058371174874148 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 9.7132651468526930000000000000E-13 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10820000000000024 " " y[1] (analytic) = 1.0058479114169447 " " y[1] (numeric) = 1.0058479114169343 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 1.0375421883388984000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10830000000000024 " " y[1] (analytic) = 1.0058587152879856 " " y[1] (numeric) = 1.0058587152879748 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 1.0816813013556727000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10840000000000025 " " y[1] (analytic) = 1.0058695291004396 " " y[1] (numeric) = 1.005869529100428 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 1.1478943463400897000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10850000000000025 " " y[1] (analytic) = 1.0058803528541982 " " y[1] (numeric) = 1.005880352854186 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 1.2141059556659728000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10860000000000025 " " y[1] (analytic) = 1.0058911865491533 " " y[1] (numeric) = 1.0058911865491402 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.302390543406623000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10870000000000025 " " y[1] (analytic) = 1.0059020301851964 " " y[1] (numeric) = 1.0059020301851826 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 1.3685990377032387000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10880000000000026 " " y[1] (analytic) = 1.0059128837622193 " " y[1] (numeric) = 1.0059128837622047 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 1.4568800302309523000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10890000000000026 " " y[1] (analytic) = 1.0059237472801135 " " y[1] (numeric) = 1.005923747280098 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 1.5451591024447695000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10900000000000026 " " y[1] (analytic) = 1.00593462073877 " " y[1] (numeric) = 1.0059346207387536 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 1.6334362517899007000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10910000000000027 " " y[1] (analytic) = 1.0059455041380803 " " y[1] (numeric) = 1.005945504138063 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 1.7217114757118193000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10920000000000027 " " y[1] (analytic) = 1.0059563974779355 " " y[1] (numeric) = 1.0059563974779173 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 1.8099847716562617000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10930000000000027 " " y[1] (analytic) = 1.0059673007582268 " " y[1] (numeric) = 1.0059673007582075 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 1.9203288828491022000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10940000000000027 " " y[1] (analytic) = 1.0059782139788451 " " y[1] (numeric) = 1.0059782139788247 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 2.0306705820502455000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10950000000000028 " " y[1] (analytic) = 1.0059891371396814 " " y[1] (numeric) = 1.0059891371396597 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 2.163082132728004000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10960000000000028 " " y[1] (analytic) = 1.006000070240626 " " y[1] (numeric) = 1.0060000702406033 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 2.251346731709061000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10970000000000028 " " y[1] (analytic) = 1.00601101328157 " " y[1] (numeric) = 1.006011013281546 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 2.3837529624729314000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10980000000000029 " " y[1] (analytic) = 1.006021966262404 " " y[1] (numeric) = 1.0060219662623786 " " absolute error = 2.53130849614535700000000000000E-14 " " relative error = 2.5161562878688754000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.10990000000000029 " " y[1] (analytic) = 1.0060329291830183 " " y[1] (numeric) = 1.0060329291829915 " " absolute error = 2.686739719592879000000000000000E-14 " " relative error = 2.6706280099347574000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11000000000000029 " " y[1] (analytic) = 1.0060439020433032 " " y[1] (numeric) = 1.006043902043275 " " absolute error = 2.819966482547897600000000000000E-14 " " relative error = 2.8030252723767496000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1101000000000003 " " y[1] (analytic) = 1.0060548848431492 " " y[1] (numeric) = 1.0060548848431194 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.95749044194472950000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1102000000000003 " " y[1] (analytic) = 1.0060658775824463 " " y[1] (numeric) = 1.006065877582415 " " absolute error = 3.130828929442941400000000000000E-14 " " relative error = 3.1119522083049406000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1103000000000003 " " y[1] (analytic) = 1.0060768802610844 " " y[1] (numeric) = 1.0060768802610516 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 3.266410566991316000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1104000000000003 " " y[1] (analytic) = 1.0060878928789538 " " y[1] (numeric) = 1.0060878928789194 " " absolute error = 3.44169137633798500000000000000E-14 " " relative error = 3.420865513538257000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1105000000000003 " " y[1] (analytic) = 1.0060989154359445 " " y[1] (numeric) = 1.0060989154359083 " " absolute error = 3.619327060278010300000000000000E-14 " " relative error = 3.597386901773718000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11060000000000031 " " y[1] (analytic) = 1.0061099479319457 " " y[1] (numeric) = 1.006109947931908 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 3.751834768639878400000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11070000000000031 " " y[1] (analytic) = 1.0061209903668478 " " y[1] (numeric) = 1.006120990366808 " " absolute error = 3.974598428158060400000000000000E-14 " " relative error = 3.950417957892776000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11080000000000031 " " y[1] (analytic) = 1.0061320427405396 " " y[1] (numeric) = 1.006132042740498 " " absolute error = 4.152234112098085500000000000000E-14 " " relative error = 4.126927615572283400000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11090000000000032 " " y[1] (analytic) = 1.006143105052911 " " y[1] (numeric) = 1.0061431050528675 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 4.325502241852312600000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11100000000000032 " " y[1] (analytic) = 1.0061541773038516 " " y[1] (numeric) = 1.0061541773038059 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 4.546141103059091500000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11110000000000032 " " y[1] (analytic) = 1.0061652594932502 " " y[1] (numeric) = 1.0061652594932025 " " absolute error = 4.77395900588817300000000000000E-14 " " relative error = 4.744706658121502500000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11120000000000033 " " y[1] (analytic) = 1.0061763516209963 " " y[1] (numeric) = 1.0061763516209463 " " absolute error = 4.996003610813204400000000000000E-14 " " relative error = 4.965335950069203500000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11130000000000033 " " y[1] (analytic) = 1.0061874536869788 " " y[1] (numeric) = 1.0061874536869266 " " absolute error = 5.21804821573823600000000000000E-14 " " relative error = 5.18596032639615000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11140000000000033 " " y[1] (analytic) = 1.0061985656910868 " " y[1] (numeric) = 1.0061985656910324 " " absolute error = 5.44009282066326700000000000000E-14 " " relative error = 5.406579780728321000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11150000000000033 " " y[1] (analytic) = 1.0062096876332092 " " y[1] (numeric) = 1.0062096876331523 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 5.6492617353460620000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11160000000000034 " " y[1] (analytic) = 1.0062208195132345 " " y[1] (numeric) = 1.0062208195131752 " " absolute error = 5.92859095149833600000000000000E-14 " " relative error = 5.89193826695648000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11170000000000034 " " y[1] (analytic) = 1.0062319613310517 " " y[1] (numeric) = 1.0062319613309898 " " absolute error = 6.19504447740837300000000000000E-14 " " relative error = 6.1566763087246000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11180000000000034 " " y[1] (analytic) = 1.0062431130865495 " " y[1] (numeric) = 1.0062431130864846 " " absolute error = 6.48370246381091400000000000000E-14 " " relative error = 6.443475119966595000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11190000000000035 " " y[1] (analytic) = 1.0062542747796162 " " y[1] (numeric) = 1.0062542747795482 " " absolute error = 6.79456491070595800000000000000E-14 " " relative error = 6.752333958724362000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11200000000000035 " " y[1] (analytic) = 1.00626544641014 " " y[1] (numeric) = 1.006265446410069 " " absolute error = 7.08322289710849900000000000000E-14 " " relative error = 7.039119670041293000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11210000000000035 " " y[1] (analytic) = 1.0062766279780089 " " y[1] (numeric) = 1.0062766279779354 " " absolute error = 7.34967642301853600000000000000E-14 " " relative error = 7.303832980585888000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11220000000000036 " " y[1] (analytic) = 1.006287819483112 " " y[1] (numeric) = 1.0062878194830354 " " absolute error = 7.6605388699135800000000000000E-14 " " relative error = 7.612671764076882000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11230000000000036 " " y[1] (analytic) = 1.0062990209253369 " " y[1] (numeric) = 1.006299020925257 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 7.943569069510422000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11240000000000036 " " y[1] (analytic) = 1.0063102323045714 " " y[1] (numeric) = 1.0063102323044881 " " absolute error = 8.32667268468867400000000000000E-14 " " relative error = 8.274458926666772000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11250000000000036 " " y[1] (analytic) = 1.0063214536207035 " " y[1] (numeric) = 1.0063214536206169 " " absolute error = 8.65973959207622100000000000000E-14 " " relative error = 8.60534132599363000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11260000000000037 " " y[1] (analytic) = 1.0063326848736214 " " y[1] (numeric) = 1.006332684873531 " " absolute error = 9.03721542044877400000000000000E-14 " " relative error = 8.980345720941876000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11270000000000037 " " y[1] (analytic) = 1.006343926063212 " " y[1] (numeric) = 1.0063439260631182 " " absolute error = 9.39248678832882400000000000000E-14 " " relative error = 9.333277168047267000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11280000000000037 " " y[1] (analytic) = 1.0063551771893637 " " y[1] (numeric) = 1.006355177189266 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 9.708264873230721000000000000E-12 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11290000000000038 " " y[1] (analytic) = 1.0063664382519635 " " y[1] (numeric) = 1.006366438251862 " " absolute error = 1.01474384450739310000000000000E-13 " " relative error = 1.008324409416892900000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11300000000000038 " " y[1] (analytic) = 1.0063777092508988 " " y[1] (numeric) = 1.0063777092507933 " " absolute error = 1.05471187339389870000000000000E-13 " " relative error = 1.0480278564386900000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11310000000000038 " " y[1] (analytic) = 1.006388990186057 " " y[1] (numeric) = 1.0063889901859475 " " absolute error = 1.09467990228040430000000000000E-13 " " relative error = 1.08773040340795500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11320000000000038 " " y[1] (analytic) = 1.0064002810573256 " " y[1] (numeric) = 1.0064002810572117 " " absolute error = 1.13908882326541060000000000000E-13 " " relative error = 1.13184469907806690000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11330000000000039 " " y[1] (analytic) = 1.0064115818645911 " " y[1] (numeric) = 1.0064115818644728 " " absolute error = 1.18349774425041690000000000000E-13 " " relative error = 1.175957993307008600000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11340000000000039 " " y[1] (analytic) = 1.0064228926077408 " " y[1] (numeric) = 1.006422892607618 " " absolute error = 1.22790666523542310000000000000E-13 " " relative error = 1.22007028482211510000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11350000000000039 " " y[1] (analytic) = 1.0064342132866615 " " y[1] (numeric) = 1.006434213286534 " " absolute error = 1.27453603226967970000000000000E-13 " " relative error = 1.266387822913423700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1136000000000004 " " y[1] (analytic) = 1.0064455439012403 " " y[1] (numeric) = 1.006445543901108 " " absolute error = 1.32338584535318660000000000000E-13 " " relative error = 1.314910531794303300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1137000000000004 " " y[1] (analytic) = 1.0064568844513633 " " y[1] (numeric) = 1.0064568844512263 " " absolute error = 1.37001521238744320000000000000E-13 " " relative error = 1.361225933820564800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1138000000000004 " " y[1] (analytic) = 1.0064682349369178 " " y[1] (numeric) = 1.0064682349367755 " " absolute error = 1.42330591756945070000000000000E-13 " " relative error = 1.414158806173012300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1139000000000004 " " y[1] (analytic) = 1.0064795953577899 " " y[1] (numeric) = 1.0064795953576422 " " absolute error = 1.47659662275145820000000000000E-13 " " relative error = 1.467090470151606300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1140000000000004 " " y[1] (analytic) = 1.0064909657138656 " " y[1] (numeric) = 1.0064909657137129 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 1.517814798069945500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11410000000000041 " " y[1] (analytic) = 1.006502346005032 " " y[1] (numeric) = 1.0065023460048736 " " absolute error = 1.58317803311547320000000000000E-13 " " relative error = 1.572950166881735300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11420000000000041 " " y[1] (analytic) = 1.0065137362311751 " " y[1] (numeric) = 1.0065137362310108 " " absolute error = 1.64313007644523170000000000000E-13 " " relative error = 1.63249642533228100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11430000000000042 " " y[1] (analytic) = 1.0065251363921806 " " y[1] (numeric) = 1.0065251363920105 " " absolute error = 1.70086167372573980000000000000E-13 " " relative error = 1.68983526812093400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11440000000000042 " " y[1] (analytic) = 1.0065365464879346 " " y[1] (numeric) = 1.0065365464877585 " " absolute error = 1.76081371705549830000000000000E-13 " " relative error = 1.749378821066588400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11450000000000042 " " y[1] (analytic) = 1.0065479665183235 " " y[1] (numeric) = 1.006547966518141 " " absolute error = 1.82520665248375740000000000000E-13 " " relative error = 1.81333300865650400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11460000000000042 " " y[1] (analytic) = 1.0065593964832322 " " y[1] (numeric) = 1.0065593964830435 " " absolute error = 1.8873791418627660000000000000E-13 " " relative error = 1.87507975034258900000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11470000000000043 " " y[1] (analytic) = 1.0065708363825474 " " y[1] (numeric) = 1.006570836382352 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 1.94123697281217500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11480000000000043 " " y[1] (analytic) = 1.0065822862161542 " " y[1] (numeric) = 1.006582286215952 " " absolute error = 2.02282635086703520000000000000E-13 " " relative error = 2.00959859771727800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11490000000000043 " " y[1] (analytic) = 1.0065937459839378 " " y[1] (numeric) = 1.0065937459837289 " " absolute error = 2.08943973234454460000000000000E-13 " " relative error = 2.07575274601188100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11500000000000044 " " y[1] (analytic) = 1.0066052156857843 " " y[1] (numeric) = 1.006605215685568 " " absolute error = 2.1627144519698050000000000000E-13 " " relative error = 2.148522994187330400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11510000000000044 " " y[1] (analytic) = 1.0066166953215783 " " y[1] (numeric) = 1.006616695321355 " " absolute error = 2.2337687255458150000000000000E-13 " " relative error = 2.219085711500349300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11520000000000044 " " y[1] (analytic) = 1.0066281848912055 " " y[1] (numeric) = 1.0066281848909746 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 2.294058447677884400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11530000000000044 " " y[1] (analytic) = 1.0066396843945509 " " y[1] (numeric) = 1.0066396843943122 " " absolute error = 2.38697950294408660000000000000E-13 " " relative error = 2.371235249263741200000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11540000000000045 " " y[1] (analytic) = 1.0066511938314995 " " y[1] (numeric) = 1.0066511938312528 " " absolute error = 2.4669155607170978000000000000E-13 " " relative error = 2.450616038438859500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11550000000000045 " " y[1] (analytic) = 1.006662713201936 " " y[1] (numeric) = 1.0066627132016812 " " absolute error = 2.5468516184901090000000000000E-13 " " relative error = 2.529994987486153000000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11560000000000045 " " y[1] (analytic) = 1.0066742425057453 " " y[1] (numeric) = 1.0066742425054822 " " absolute error = 2.6312285683616210000000000000E-13 " " relative error = 2.613783543137197000000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11570000000000046 " " y[1] (analytic) = 1.0066857817428123 " " y[1] (numeric) = 1.0066857817425405 " " absolute error = 2.7178259642823830000000000000E-13 " " relative error = 2.699775852180191000000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11580000000000046 " " y[1] (analytic) = 1.0066973309130214 " " y[1] (numeric) = 1.006697330912741 " " absolute error = 2.80442336020314540000000000000E-13 " " relative error = 2.78576616236747300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11590000000000046 " " y[1] (analytic) = 1.0067088900162573 " " y[1] (numeric) = 1.0067088900159678 " " absolute error = 2.89546164822240800000000000000E-13 " " relative error = 2.87616576841359700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11600000000000046 " " y[1] (analytic) = 1.0067204590524041 " " y[1] (numeric) = 1.0067204590521055 " " absolute error = 2.9864999362416710000000000000E-13 " " relative error = 2.966563269264214700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11610000000000047 " " y[1] (analytic) = 1.0067320380213465 " " y[1] (numeric) = 1.0067320380210383 " " absolute error = 3.08197911635943460000000000000E-13 " " relative error = 3.06136985807745340000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11620000000000047 " " y[1] (analytic) = 1.0067436269229684 " " y[1] (numeric) = 1.0067436269226504 " " absolute error = 3.17967874252644830000000000000E-13 " " relative error = 3.158379807424143700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11630000000000047 " " y[1] (analytic) = 1.006755225757154 " " y[1] (numeric) = 1.006755225756826 " " absolute error = 3.27959881474271240000000000000E-13 " " relative error = 3.257593038343767300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11640000000000048 " " y[1] (analytic) = 1.0067668345237875 " " y[1] (numeric) = 1.006766834523449 " " absolute error = 3.3839597790574770000000000000E-13 " " relative error = 3.361214993398277700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11650000000000048 " " y[1] (analytic) = 1.0067784532227524 " " y[1] (numeric) = 1.0067784532224036 " " absolute error = 3.4883207433722420000000000000E-13 " " relative error = 3.46483452462251100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11660000000000048 " " y[1] (analytic) = 1.006790081853933 " " y[1] (numeric) = 1.0067900818535733 " " absolute error = 3.5971225997855070000000000000E-13 " " relative error = 3.572862570479100600000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11670000000000048 " " y[1] (analytic) = 1.0068017204172128 " " y[1] (numeric) = 1.006801720416842 " " absolute error = 3.7081449022480230000000000000E-13 " " relative error = 3.6830935297879597000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11680000000000049 " " y[1] (analytic) = 1.006813368912475 " " y[1] (numeric) = 1.0068133689120933 " " absolute error = 3.8169467586612880000000000000E-13 " " relative error = 3.791116483469247300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11690000000000049 " " y[1] (analytic) = 1.006825027339604 " " y[1] (numeric) = 1.0068250273392105 " " absolute error = 3.9346303992715550000000000000E-13 " " relative error = 3.907958475831964700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11700000000000049 " " y[1] (analytic) = 1.0068366956984822 " " y[1] (numeric) = 1.0068366956980772 " " absolute error = 4.0500935938325710000000000000E-13 " " relative error = 4.02259235398930500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1171000000000005 " " y[1] (analytic) = 1.0068483739889937 " " y[1] (numeric) = 1.0068483739885765 " " absolute error = 4.17221812654133830000000000000E-13 " " relative error = 4.14383956346037300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1172000000000005 " " y[1] (analytic) = 1.0068600622110218 " " y[1] (numeric) = 1.0068600622105919 " " absolute error = 4.2987835513486060000000000000E-13 " " relative error = 4.26949455310468900000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1173000000000005 " " y[1] (analytic) = 1.0068717603644486 " " y[1] (numeric) = 1.0068717603640063 " " absolute error = 4.42312853010662370000000000000E-13 " " relative error = 4.39294129026483200000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1174000000000005 " " y[1] (analytic) = 1.0068834684491583 " " y[1] (numeric) = 1.0068834684487027 " " absolute error = 4.5563552930616424000000000000E-13 " " relative error = 4.52520617910185830000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1175000000000005 " " y[1] (analytic) = 1.006895186465033 " " y[1] (numeric) = 1.006895186464564 " " absolute error = 4.6895820560166610000000000000E-13 " " relative error = 4.65746794607356900000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11760000000000051 " " y[1] (analytic) = 1.006906914411956 " " y[1] (numeric) = 1.0069069144114735 " " absolute error = 4.825029265020930300000000000E-13 " " relative error = 4.79193180219523800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11770000000000051 " " y[1] (analytic) = 1.00691865228981 " " y[1] (numeric) = 1.0069186522893134 " " absolute error = 4.96491736612370000000000000E-13 " " relative error = 4.930802855655815300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11780000000000052 " " y[1] (analytic) = 1.0069304000984771 " " y[1] (numeric) = 1.0069304000979664 " " absolute error = 5.107025913275720000000000000E-13 " " relative error = 5.07187578483702200000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11790000000000052 " " y[1] (analytic) = 1.0069421578378404 " " y[1] (numeric) = 1.006942157837315 " " absolute error = 5.2535753525262410000000000000E-13 " " relative error = 5.217355646134626000000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11800000000000052 " " y[1] (analytic) = 1.0069539255077822 " " y[1] (numeric) = 1.0069539255072417 " " absolute error = 5.4045656838752620000000000000E-13 " " relative error = 5.367242280871860000000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11810000000000052 " " y[1] (analytic) = 1.0069657031081845 " " y[1] (numeric) = 1.006965703107629 " " absolute error = 5.5555560152242830000000000000E-13 " " relative error = 5.517125357970029000000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11820000000000053 " " y[1] (analytic) = 1.00697749063893 " " y[1] (numeric) = 1.0069774906383586 " " absolute error = 5.7132076847210560000000000000E-13 " " relative error = 5.67362005390608100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11830000000000053 " " y[1] (analytic) = 1.0069892880999003 " " y[1] (numeric) = 1.0069892880993132 " " absolute error = 5.8708593542178280000000000000E-13 " " relative error = 5.83011102858464500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11840000000000053 " " y[1] (analytic) = 1.0070010954909778 " " y[1] (numeric) = 1.0070010954903745 " " absolute error = 6.0329519158131010000000000000E-13 " " relative error = 5.9910082946549800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11850000000000054 " " y[1] (analytic) = 1.0070129128120444 " " y[1] (numeric) = 1.0070129128114245 " " absolute error = 6.1994853695068740000000000000E-13 " " relative error = 6.15631169236455200000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11860000000000054 " " y[1] (analytic) = 1.007024740062982 " " y[1] (numeric) = 1.0070247400623449 " " absolute error = 6.3704597152991480000000000000E-13 " " relative error = 6.32602106170770200000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11870000000000054 " " y[1] (analytic) = 1.007036577243672 " " y[1] (numeric) = 1.0070365772430174 " " absolute error = 6.5458749531899230000000000000E-13 " " relative error = 6.50013624242570300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11880000000000054 " " y[1] (analytic) = 1.007048424353996 " " y[1] (numeric) = 1.007048424353324 " " absolute error = 6.7212901910806980000000000000E-13 " " relative error = 6.67424726411968500000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11890000000000055 " " y[1] (analytic) = 1.0070602813938363 " " y[1] (numeric) = 1.0070602813931457 " " absolute error = 6.9055872131684740000000000000E-13 " " relative error = 6.85717363771977600000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11900000000000055 " " y[1] (analytic) = 1.0070721483630733 " " y[1] (numeric) = 1.0070721483623644 " " absolute error = 7.089884235256250000000000000E-13 " " relative error = 7.0400956344392700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11910000000000055 " " y[1] (analytic) = 1.0070840252615891 " " y[1] (numeric) = 1.007084025260861 " " absolute error = 7.2808425954917770000000000000E-13 " " relative error = 7.22962773002042700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11920000000000056 " " y[1] (analytic) = 1.0070959120892646 " " y[1] (numeric) = 1.0070959120885172 " " absolute error = 7.4740214017765540000000000000E-13 " " relative error = 7.42136008304449100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11930000000000056 " " y[1] (analytic) = 1.0071078088459808 " " y[1] (numeric) = 1.0071078088452137 " " absolute error = 7.6716411001598320000000000000E-13 " " relative error = 7.61749738486346300000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11940000000000056 " " y[1] (analytic) = 1.0071197155316192 " " y[1] (numeric) = 1.0071197155308318 " " absolute error = 7.873701690641610000000000000E-13 " " relative error = 7.81803947357478800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11950000000000056 " " y[1] (analytic) = 1.0071316321460602 " " y[1] (numeric) = 1.0071316321452521 " " absolute error = 8.0802031732218890000000000000E-13 " " relative error = 8.02298618702311800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11960000000000057 " " y[1] (analytic) = 1.007143558689185 " " y[1] (numeric) = 1.007143558688356 " " absolute error = 8.2911455479006690000000000000E-13 " " relative error = 8.23233736280033400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11970000000000057 " " y[1] (analytic) = 1.007155495160874 " " y[1] (numeric) = 1.0071554951600237 " " absolute error = 8.5043083686286990000000000000E-13 " " relative error = 8.44388816770571900000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11980000000000057 " " y[1] (analytic) = 1.0071674415610083 " " y[1] (numeric) = 1.007167441560136 " " absolute error = 8.724132527504480000000000000E-13 " " relative error = 8.66204780605591400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.11990000000000058 " " y[1] (analytic) = 1.007179397889468 " " y[1] (numeric) = 1.0071793978885732 " " absolute error = 8.9483975784787620000000000000E-13 " " relative error = 8.88461141801551700000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12000000000000058 " " y[1] (analytic) = 1.0071913641461339 " " y[1] (numeric) = 1.0071913641452162 " " absolute error = 9.1771035215515440000000000000E-13 " " relative error = 9.11157884016570400000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12010000000000058 " " y[1] (analytic) = 1.007203340330886 " " y[1] (numeric) = 1.007203340329945 " " absolute error = 9.4102503567228270000000000000E-13 " " relative error = 9.34294990883506800000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12020000000000058 " " y[1] (analytic) = 1.0072153264436046 " " y[1] (numeric) = 1.0072153264426398 " " absolute error = 9.647838083992610000000000000E-13 " " relative error = 9.57872446009965100000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12030000000000059 " " y[1] (analytic) = 1.00722732248417 " " y[1] (numeric) = 1.007227322483181 " " absolute error = 9.8898667033608940000000000000E-13 " " relative error = 9.81890232978298600000000000E-11 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12040000000000059 " " y[1] (analytic) = 1.0072393284524623 " " y[1] (numeric) = 1.0072393284514485 " " absolute error = 1.013855666087693000000000000E-12 " " relative error = 1.00656878404995960000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12050000000000059 " " y[1] (analytic) = 1.007251344348361 " " y[1] (numeric) = 1.007251344347322 " " absolute error = 1.0389467064442215000000000000E-12 " " relative error = 1.03146718271829720000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1206000000000006 " " y[1] (analytic) = 1.0072633701717466 " " y[1] (numeric) = 1.007263370170682 " " absolute error = 1.0647038806155251000000000000E-12 " " relative error = 1.05702630726458820000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1207000000000006 " " y[1] (analytic) = 1.0072754059224982 " " y[1] (numeric) = 1.0072754059214073 " " absolute error = 1.0909051439966788000000000000E-12 " " relative error = 1.0830256924595409000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1208000000000006 " " y[1] (analytic) = 1.007287451600496 " " y[1] (numeric) = 1.0072874515993782 " " absolute error = 1.1177725411926076000000000000E-12 " " relative error = 1.10968575992539180000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1209000000000006 " " y[1] (analytic) = 1.0072995072056192 " " y[1] (numeric) = 1.007299507204474 " " absolute error = 1.1453060722033115000000000000E-12 " " relative error = 1.1370064851719630000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12100000000000061 " " y[1] (analytic) = 1.0073115727377473 " " y[1] (numeric) = 1.0073115727365742 " " absolute error = 1.1730616478189404000000000000E-12 " " relative error = 1.16454697788362050000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12110000000000061 " " y[1] (analytic) = 1.0073236481967596 " " y[1] (numeric) = 1.0073236481955583 " " absolute error = 1.2012613126444194000000000000E-12 " " relative error = 1.19252765960059960000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12120000000000061 " " y[1] (analytic) = 1.0073357335825355 " " y[1] (numeric) = 1.0073357335813051 " " absolute error = 1.2303491558895985000000000000E-12 " " relative error = 1.22138936887896120000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12130000000000062 " " y[1] (analytic) = 1.007347828894954 " " y[1] (numeric) = 1.0073478288936941 " " absolute error = 1.2598810883446276000000000000E-12 " " relative error = 1.25069122323586970000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12140000000000062 " " y[1] (analytic) = 1.0073599341338941 " " y[1] (numeric) = 1.0073599341326043 " " absolute error = 1.2898571100095070000000000000E-12 " " relative error = 1.28043320595085770000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12150000000000062 " " y[1] (analytic) = 1.007372049299235 " " y[1] (numeric) = 1.0073720492979146 " " absolute error = 1.3204992654891612000000000000E-12 " " relative error = 1.31083571993857560000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12160000000000062 " " y[1] (analytic) = 1.0073841743908554 " " y[1] (numeric) = 1.0073841743895038 " " absolute error = 1.3515855101786656000000000000E-12 " " relative error = 1.34167832346179320000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12170000000000063 " " y[1] (analytic) = 1.007396309408634 " " y[1] (numeric) = 1.0073963094072507 " " absolute error = 1.383337888682945000000000000E-12 " " relative error = 1.37318141407029550000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12180000000000063 " " y[1] (analytic) = 1.0074084543524493 " " y[1] (numeric) = 1.0074084543510338 " " absolute error = 1.4155343563970746000000000000E-12 " " relative error = 1.40512455526985240000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12190000000000063 " " y[1] (analytic) = 1.0074206092221805 " " y[1] (numeric) = 1.0074206092207316 " " absolute error = 1.4488410471358293000000000000E-12 " " relative error = 1.43816895730817460000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12200000000000064 " " y[1] (analytic) = 1.0074327740177051 " " y[1] (numeric) = 1.0074327740162228 " " absolute error = 1.482369782479509000000000000E-12 " " relative error = 1.47143295385132770000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12210000000000064 " " y[1] (analytic) = 1.0074449487389023 " " y[1] (numeric) = 1.0074449487373855 " " absolute error = 1.5167866962428890000000000000E-12 " " relative error = 1.5055777470933468000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12220000000000064 " " y[1] (analytic) = 1.00745713338565 " " y[1] (numeric) = 1.0074571333840983 " " absolute error = 1.5516476992161188000000000000E-12 " " relative error = 1.54016250200310540000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12230000000000064 " " y[1] (analytic) = 1.0074693279578262 " " y[1] (numeric) = 1.007469327956239 " " absolute error = 1.5871748360041238000000000000E-12 " " relative error = 1.5754075999726760000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12240000000000065 " " y[1] (analytic) = 1.007481532455309 " " y[1] (numeric) = 1.0074815324536859 " " absolute error = 1.6231460620019790000000000000E-12 " " relative error = 1.61109262027488350000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12250000000000065 " " y[1] (analytic) = 1.007493746877977 " " y[1] (numeric) = 1.0074937468763168 " " absolute error = 1.660227511024459000000000000E-12 " " relative error = 1.64787872497390130000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12260000000000065 " " y[1] (analytic) = 1.007505971225707 " " y[1] (numeric) = 1.0075059712240095 " " absolute error = 1.6975310046518644000000000000E-12 " " relative error = 1.68488431149116630000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12270000000000066 " " y[1] (analytic) = 1.0075182054983776 " " y[1] (numeric) = 1.0075182054966418 " " absolute error = 1.7357226766989697000000000000E-12 " " relative error = 1.72277053379931680000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12280000000000066 " " y[1] (analytic) = 1.007530449695866 " " y[1] (numeric) = 1.0075304496940913 " " absolute error = 1.7745804825608502000000000000E-12 " " relative error = 1.76131697369198800000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12290000000000066 " " y[1] (analytic) = 1.0075427038180496 " " y[1] (numeric) = 1.0075427038162357 " " absolute error = 1.8138823776325808000000000000E-12 " " relative error = 1.80030322363402940000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12300000000000066 " " y[1] (analytic) = 1.0075549678648064 " " y[1] (numeric) = 1.0075549678629523 " " absolute error = 1.8540724511240114000000000000E-12 " " relative error = 1.84017002571396250000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12310000000000067 " " y[1] (analytic) = 1.0075672418360138 " " y[1] (numeric) = 1.0075672418341184 " " absolute error = 1.8953727476400672000000000000E-12 " " relative error = 1.88113772355904760000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12320000000000067 " " y[1] (analytic) = 1.0075795257315483 " " y[1] (numeric) = 1.0075795257296114 " " absolute error = 1.936895088761048000000000000E-12 " " relative error = 1.92232477863697630000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12330000000000067 " " y[1] (analytic) = 1.0075918195512878 " " y[1] (numeric) = 1.0075918195493085 " " absolute error = 1.979305608301729000000000000E-12 " " relative error = 1.9643922964590720000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12340000000000068 " " y[1] (analytic) = 1.007604123295109 " " y[1] (numeric) = 1.0076041232930866 " " absolute error = 2.022382261657185200000000000E-12 " " relative error = 2.00711987466219020000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12350000000000068 " " y[1] (analytic) = 1.007616436962889 " " y[1] (numeric) = 1.0076164369608227 " " absolute error = 2.0663470934323414000000000000E-12 " " relative error = 2.0507278540042770000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12360000000000068 " " y[1] (analytic) = 1.0076287605545047 " " y[1] (numeric) = 1.0076287605523937 " " absolute error = 2.1109780590222726000000000000E-12 " " relative error = 2.09499583741594250000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12370000000000068 " " y[1] (analytic) = 1.0076410940698328 " " y[1] (numeric) = 1.0076410940676763 " " absolute error = 2.156497203031904000000000000E-12 " " relative error = 2.1401441601809580000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12380000000000069 " " y[1] (analytic) = 1.0076534375087498 " " y[1] (numeric) = 1.0076534375065471 " " absolute error = 2.2026824808563106000000000000E-12 " " relative error = 2.1859524305321332000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12390000000000069 " " y[1] (analytic) = 1.0076657908711324 " " y[1] (numeric) = 1.0076657908688829 " " absolute error = 2.249533892495492200000000000E-12 " " relative error = 2.2324206228642120000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12400000000000069 " " y[1] (analytic) = 1.0076781541568574 " " y[1] (numeric) = 1.0076781541545599 " " absolute error = 2.297495527159299000000000000E-12 " " relative error = 2.279989416940030000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1241000000000007 " " y[1] (analytic) = 1.0076905273658006 " " y[1] (numeric) = 1.0076905273634544 " " absolute error = 2.346123295637880800000000000E-12 " " relative error = 2.3282180708504540000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1242000000000007 " " y[1] (analytic) = 1.0077029104978383 " " y[1] (numeric) = 1.007702910495443 " " absolute error = 2.3954171979312378000000000000E-12 " " relative error = 2.377106558864480200000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1243000000000007 " " y[1] (analytic) = 1.007715303552847 " " y[1] (numeric) = 1.0077153035504014 " " absolute error = 2.445599278644294800000000000E-12 " " relative error = 2.42687519979301550000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1244000000000007 " " y[1] (analytic) = 1.0077277065307029 " " y[1] (numeric) = 1.007727706528206 " " absolute error = 2.496891582381977000000000000E-12 " " relative error = 2.4777443015613893000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12450000000000071 " " y[1] (analytic) = 1.0077401194312816 " " y[1] (numeric) = 1.0077401194287328 " " absolute error = 2.5488500199344344000000000000E-12 " " relative error = 2.5292731437276494000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12460000000000071 " " y[1] (analytic) = 1.007752542254459 " " y[1] (numeric) = 1.0077525422518574 " " absolute error = 2.601696635906592000000000000E-12 " " relative error = 2.5816820368285010000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12470000000000071 " " y[1] (analytic) = 1.0077649750001112 " " y[1] (numeric) = 1.0077649749974558 " " absolute error = 2.6554314302984494000000000000E-12 " " relative error = 2.6349709467707550000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12480000000000072 " " y[1] (analytic) = 1.0077774176681134 " " y[1] (numeric) = 1.0077774176654035 " " absolute error = 2.709832358505082000000000000E-12 " " relative error = 2.6889195084122220000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12490000000000072 " " y[1] (analytic) = 1.0077898702583417 " " y[1] (numeric) = 1.007789870255576 " " absolute error = 2.765565554341265000000000000E-12 " " relative error = 2.74418868055532950000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12500000000000072 " " y[1] (analytic) = 1.0078023327706709 " " y[1] (numeric) = 1.0078023327678491 " " absolute error = 2.821742839387298000000000000E-12 " " relative error = 2.79989711040825260000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1251000000000007 " " y[1] (analytic) = 1.0078148052049771 " " y[1] (numeric) = 1.0078148052020979 " " absolute error = 2.879252392062881000000000000E-12 " " relative error = 2.85692607133041340000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1252000000000007 " " y[1] (analytic) = 1.0078272875611352 " " y[1] (numeric) = 1.0078272875581977 " " absolute error = 2.937428078553239000000000000E-12 " " relative error = 2.9146145523223427000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1253000000000007 " " y[1] (analytic) = 1.0078397798390202 " " y[1] (numeric) = 1.0078397798360237 " " absolute error = 2.9964919434632975000000000000E-12 " " relative error = 2.9731828445409450000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12540000000000068 " " y[1] (analytic) = 1.0078522820385076 " " y[1] (numeric) = 1.0078522820354507 " " absolute error = 3.056888076002906000000000000E-12 " " relative error = 3.0330715428058230000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12550000000000067 " " y[1] (analytic) = 1.007864794159472 " " y[1] (numeric) = 1.007864794156354 " " absolute error = 3.1179503423572896000000000000E-12 " " relative error = 3.0936196605196070000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12560000000000066 " " y[1] (analytic) = 1.0078773162017887 " " y[1] (numeric) = 1.0078773161986085 " " absolute error = 3.1801228317362984000000000000E-12 " " relative error = 3.15526778965586060000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12570000000000064 " " y[1] (analytic) = 1.007889848165332 " " y[1] (numeric) = 1.0078898481620888 " " absolute error = 3.2431834995350073000000000000E-12 " " relative error = 3.21779558097404550000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12580000000000063 " " y[1] (analytic) = 1.0079023900499768 " " y[1] (numeric) = 1.0079023900466697 " " absolute error = 3.3071323457534163000000000000E-12 " " relative error = 3.28120299981571900000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12590000000000062 " " y[1] (analytic) = 1.007914941855598 " " y[1] (numeric) = 1.0079149418522255 " " absolute error = 3.3724134596013755000000000000E-12 " " relative error = 3.3459306133438930000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1260000000000006 " " y[1] (analytic) = 1.0079275035820694 " " y[1] (numeric) = 1.007927503578631 " " absolute error = 3.43836070726411000000000000E-12 " " relative error = 3.41131747575548260000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1261000000000006 " " y[1] (analytic) = 1.007940075229266 " " y[1] (numeric) = 1.0079400752257603 " " absolute error = 3.5056402225563943000000000000E-12 " " relative error = 3.47802444679957970000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1262000000000006 " " y[1] (analytic) = 1.0079526567970616 " " y[1] (numeric) = 1.0079526567934878 " " absolute error = 3.573807916268379000000000000E-12 " " relative error = 3.54561088972646040000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12630000000000058 " " y[1] (analytic) = 1.007965248285331 " " y[1] (numeric) = 1.0079652482816877 " " absolute error = 3.643307877609913700000000000E-12 " " relative error = 3.6145173494895927000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12640000000000057 " " y[1] (analytic) = 1.0079778496939475 " " y[1] (numeric) = 1.0079778496902339 " " absolute error = 3.713696017371148600000000000E-12 " " relative error = 3.684303200212920000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12650000000000056 " " y[1] (analytic) = 1.0079904610227857 " " y[1] (numeric) = 1.0079904610190005 " " absolute error = 3.785194380157008700000000000E-12 " " relative error = 3.7551886912860816000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12660000000000055 " " y[1] (analytic) = 1.0080030822717192 " " y[1] (numeric) = 1.0080030822678614 " " absolute error = 3.857802965967494000000000000E-12 " " relative error = 3.82717377934324370000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12670000000000053 " " y[1] (analytic) = 1.008015713440622 " " y[1] (numeric) = 1.0080157134366905 " " absolute error = 3.931521774802604300000000000E-12 " " relative error = 3.9002584209558494000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12680000000000052 " " y[1] (analytic) = 1.0080283545293676 " " y[1] (numeric) = 1.0080283545253612 " " absolute error = 4.00635080666234000000000000E-12 " " relative error = 3.97444257263263400000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1269000000000005 " " y[1] (analytic) = 1.0080410055378297 " " y[1] (numeric) = 1.0080410055337472 " " absolute error = 4.082512106151625600000000000E-12 " " relative error = 4.0499464642050390000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1270000000000005 " " y[1] (analytic) = 1.0080536664658815 " " y[1] (numeric) = 1.0080536664617221 " " absolute error = 4.1593395394556865000000000000E-12 " " relative error = 4.1261092319001680000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1271000000000005 " " y[1] (analytic) = 1.0080663373133967 " " y[1] (numeric) = 1.0080663373091592 " " absolute error = 4.2374992403892975000000000000E-12 " " relative error = 4.2035916521949146000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12720000000000048 " " y[1] (analytic) = 1.0080790180802488 " " y[1] (numeric) = 1.0080790180759316 " " absolute error = 4.317213253557384000000000000E-12 " " relative error = 4.2826139381205820000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12730000000000047 " " y[1] (analytic) = 1.0080917087663104 " " y[1] (numeric) = 1.0080917087619128 " " absolute error = 4.397593400540245000000000000E-12 " " relative error = 4.36229498000927250000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12740000000000046 " " y[1] (analytic) = 1.008104409371455 " " y[1] (numeric) = 1.0081044093669755 " " absolute error = 4.479527859757581600000000000E-12 " " relative error = 4.4435157887569710000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12750000000000045 " " y[1] (analytic) = 1.0081171198955556 " " y[1] (numeric) = 1.008117119890993 " " absolute error = 4.562572541999543300000000000E-12 " " relative error = 4.52583579026238700000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12760000000000044 " " y[1] (analytic) = 1.0081298403384849 " " y[1] (numeric) = 1.0081298403338381 " " absolute error = 4.64672744726613000000000000E-12 " " relative error = 4.60925494052032760000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12770000000000042 " " y[1] (analytic) = 1.008142570700116 " " y[1] (numeric) = 1.0081425706953835 " " absolute error = 4.732436664767192000000000000E-12 " " relative error = 4.6942136978509880000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1278000000000004 " " y[1] (analytic) = 1.008155310980321 " " y[1] (numeric) = 1.008155310975502 " " absolute error = 4.8190340606879545000000000000E-12 " " relative error = 4.7800512561918370000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1279000000000004 " " y[1] (analytic) = 1.008168061178973 " " y[1] (numeric) = 1.008168061174066 " " absolute error = 4.906963724238267000000000000E-12 " " relative error = 4.8672080709440050000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1280000000000004 " " y[1] (analytic) = 1.0081808212959444 " " y[1] (numeric) = 1.008180821290948 " " absolute error = 4.9964477000230545000000000000E-12 " " relative error = 4.9559043323205426000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12810000000000038 " " y[1] (analytic) = 1.0081935913311078 " " y[1] (numeric) = 1.0081935913260205 " " absolute error = 5.087263943437392000000000000E-12 " " relative error = 5.0459197392047780000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12820000000000037 " " y[1] (analytic) = 1.008206371284335 " " y[1] (numeric) = 1.0082063712791558 " " absolute error = 5.179190409876355000000000000E-12 " " relative error = 5.1370340015593060000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12830000000000036 " " y[1] (analytic) = 1.0082191611554987 " " y[1] (numeric) = 1.008219161150226 " " absolute error = 5.2726711885497930000000000000E-12 " " relative error = 5.2296875438341160000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12840000000000035 " " y[1] (analytic) = 1.0082319609444705 " " y[1] (numeric) = 1.0082319609391033 " " absolute error = 5.367262190247857000000000000E-12 " " relative error = 5.3234398413833510000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12850000000000034 " " y[1] (analytic) = 1.0082447706511228 " " y[1] (numeric) = 1.0082447706456596 " " absolute error = 5.46318545957547000000000000E-12 " " relative error = 5.4185110784629740000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12860000000000033 " " y[1] (analytic) = 1.0082575902753277 " " y[1] (numeric) = 1.0082575902697668 " " absolute error = 5.560885085742484000000000000E-12 " " relative error = 5.5153416541341960000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12870000000000031 " " y[1] (analytic) = 1.0082704198169563 " " y[1] (numeric) = 1.0082704198112968 " " absolute error = 5.659472890329198000000000000E-12 " " relative error = 5.6130506053689770000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1288000000000003 " " y[1] (analytic) = 1.0082832592758808 " " y[1] (numeric) = 1.0082832592701212 " " absolute error = 5.759615007150387000000000000E-12 " " relative error = 5.7122985571403540000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1289000000000003 " " y[1] (analytic) = 1.0082961086519728 " " y[1] (numeric) = 1.0082961086461115 " " absolute error = 5.8613114362060510000000000000E-12 " " relative error = 5.8130854477284930000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12900000000000028 " " y[1] (analytic) = 1.0083089679451036 " " y[1] (numeric) = 1.0083089679391393 " " absolute error = 5.964340132891266000000000000E-12 " " relative error = 5.9151910004791200000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12910000000000027 " " y[1] (analytic) = 1.0083218371551448 " " y[1] (numeric) = 1.0083218371490759 " " absolute error = 6.068923141810956000000000000E-12 " " relative error = 6.0188353739651920000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12920000000000026 " " y[1] (analytic) = 1.0083347162819676 " " y[1] (numeric) = 1.0083347162757927 " " absolute error = 6.174838418360196000000000000E-12 " " relative error = 6.1237982969868140000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12930000000000025 " " y[1] (analytic) = 1.008347605325443 " " y[1] (numeric) = 1.008347605319161 " " absolute error = 6.282085962538986000000000000E-12 " " relative error = 6.2300797159244010000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12940000000000024 " " y[1] (analytic) = 1.0083605042854424 " " y[1] (numeric) = 1.0083605042790516 " " absolute error = 6.390887818952251000000000000E-12 " " relative error = 6.3378997806752110000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12950000000000023 " " y[1] (analytic) = 1.008373413161837 " " y[1] (numeric) = 1.0083734131553357 " " absolute error = 6.501243987599992000000000000E-12 " " relative error = 6.4472584290127320000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12960000000000022 " " y[1] (analytic) = 1.0083863319544975 " " y[1] (numeric) = 1.008386331947884 " " absolute error = 6.6133765130871320000000000000E-12 " " relative error = 6.5583757965747150000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1297000000000002 " " y[1] (analytic) = 1.0083992606632943 " " y[1] (numeric) = 1.0083992606565675 " " absolute error = 6.7268413062038230000000000000E-12 " " relative error = 6.6708114222328090000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1298000000000002 " " y[1] (analytic) = 1.0084121992880988 " " y[1] (numeric) = 1.0084121992812567 " " absolute error = 6.842082456159915000000000000E-12 " " relative error = 6.785005636574180000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.12990000000000018 " " y[1] (analytic) = 1.0084251478287811 " " y[1] (numeric) = 1.0084251478218225 " " absolute error = 6.958655873745556000000000000E-12 " " relative error = 6.9005179895881130000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13000000000000017 " " y[1] (analytic) = 1.0084381062852121 " " y[1] (numeric) = 1.0084381062781351 " " absolute error = 7.077005648170598000000000000E-12 " " relative error = 7.0177888003857710000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13010000000000016 " " y[1] (analytic) = 1.0084510746572617 " " y[1] (numeric) = 1.008451074650065 " " absolute error = 7.19668769022519000000000000E-12 " " relative error = 7.1363776300908800000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13020000000000015 " " y[1] (analytic) = 1.008464052944801 " " y[1] (numeric) = 1.0084640529374826 " " absolute error = 7.318368133724107000000000000E-12 " " relative error = 7.2569449673033440000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13030000000000014 " " y[1] (analytic) = 1.0084770411476995 " " y[1] (numeric) = 1.0084770411402582 " " absolute error = 7.441380844852574000000000000E-12 " " relative error = 7.3788301976452480000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13040000000000013 " " y[1] (analytic) = 1.0084900392658276 " " y[1] (numeric) = 1.0084900392582614 " " absolute error = 7.566169912820442000000000000E-12 " " relative error = 7.5024736172194140000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13050000000000012 " " y[1] (analytic) = 1.0085030472990553 " " y[1] (numeric) = 1.0085030472913628 " " absolute error = 7.692513293022785000000000000E-12 " " relative error = 7.6276549819305540000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1306000000000001 " " y[1] (analytic) = 1.0085160652472525 " " y[1] (numeric) = 1.0085160652394318 " " absolute error = 7.820633030064528000000000000E-12 " " relative error = 7.7545943982034480000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1307000000000001 " " y[1] (analytic) = 1.008529093110289 " " y[1] (numeric) = 1.0085290931023385 " " absolute error = 7.950529123945671000000000000E-12 " " relative error = 7.8832917942172150000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13080000000000008 " " y[1] (analytic) = 1.0085421308880347 " " y[1] (numeric) = 1.0085421308799525 " " absolute error = 8.082201574666215000000000000E-12 " " relative error = 8.0137470980510550000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13090000000000007 " " y[1] (analytic) = 1.008555178580359 " " y[1] (numeric) = 1.0085551785721434 " " absolute error = 8.215650382226158000000000000E-12 " " relative error = 8.1459602376842650000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13100000000000006 " " y[1] (analytic) = 1.0085682361871315 " " y[1] (numeric) = 1.0085682361787809 " " absolute error = 8.350653502020577000000000000E-12 " " relative error = 8.279710982759110000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13110000000000005 " " y[1] (analytic) = 1.0085813037082216 " " y[1] (numeric) = 1.0085813036997342 " " absolute error = 8.487432978654397000000000000E-12 " " relative error = 8.415219424997170000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13120000000000004 " " y[1] (analytic) = 1.0085943811434988 " " y[1] (numeric) = 1.0085943811348725 " " absolute error = 8.626210856732541000000000000E-12 " " relative error = 8.552705644614571000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13130000000000003 " " y[1] (analytic) = 1.0086074684928321 " " y[1] (numeric) = 1.0086074684840654 " " absolute error = 8.766765091650086000000000000E-12 " " relative error = 8.6919494109540100000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13140000000000002 " " y[1] (analytic) = 1.0086205657560905 " " y[1] (numeric) = 1.0086205657471816 " " absolute error = 8.908873638802106000000000000E-12 " " relative error = 8.832730504680680000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1315 " " y[1] (analytic) = 1.0086336729331435 " " y[1] (numeric) = 1.0086336729240903 " " absolute error = 9.053202632003376000000000000E-12 " " relative error = 8.975709293619291000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1316 " " y[1] (analytic) = 1.0086467900238598 " " y[1] (numeric) = 1.0086467900146605 " " absolute error = 9.199307982044047000000000000E-12 " " relative error = 9.1204454056969090000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13169999999999998 " " y[1] (analytic) = 1.008659917028108 " " y[1] (numeric) = 1.008659917018761 " " absolute error = 9.347189688924118000000000000E-12 " " relative error = 9.2669387680879190000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13179999999999997 " " y[1] (analytic) = 1.0086730539457571 " " y[1] (numeric) = 1.00867305393626 " " absolute error = 9.497069797248514000000000000E-12 " " relative error = 9.4154094432260240000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13189999999999996 " " y[1] (analytic) = 1.0086862007766757 " " y[1] (numeric) = 1.0086862007670268 " " absolute error = 9.648948307017235000000000000E-12 " " relative error = 9.5658573494786260000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13199999999999995 " " y[1] (analytic) = 1.0086993575207321 " " y[1] (numeric) = 1.0086993575109295 " " absolute error = 9.802603173625357000000000000E-12 " " relative error = 9.7180622754821990000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13209999999999994 " " y[1] (analytic) = 1.0087125241777952 " " y[1] (numeric) = 1.0087125241678367 " " absolute error = 9.958478486282729000000000000E-12 " " relative error = 9.8724644014903230000000000E-10 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13219999999999993 " " y[1] (analytic) = 1.0087257007477328 " " y[1] (numeric) = 1.0087257007376167 " " absolute error = 1.011613015577950100000000000E-11 " " relative error = 1.0028623389173856000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13229999999999992 " " y[1] (analytic) = 1.0087388872304137 " " y[1] (numeric) = 1.0087388872201377 " " absolute error = 1.027600227132552400000000000E-11 " " relative error = 1.0186979407068605000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1323999999999999 " " y[1] (analytic) = 1.0087520836257053 " " y[1] (numeric) = 1.008752083615268 " " absolute error = 1.043742869910602200000000000E-11 " " relative error = 1.0346872010009944000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1324999999999999 " " y[1] (analytic) = 1.0087652899334763 " " y[1] (numeric) = 1.0087652899228752 " " absolute error = 1.06010755729357700000000000E-11 " " relative error = 1.0508961478675446000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13259999999999988 " " y[1] (analytic) = 1.0087785061535945 " " y[1] (numeric) = 1.0087785061428274 " " absolute error = 1.076716493741969300000000000E-11 " " relative error = 1.0673467834355609000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13269999999999987 " " y[1] (analytic) = 1.0087917322859274 " " y[1] (numeric) = 1.0087917322749924 " " absolute error = 1.093503065874301700000000000E-11 " " relative error = 1.0839730648826967000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13279999999999986 " " y[1] (analytic) = 1.008804968330343 " " y[1] (numeric) = 1.0088049683192382 " " absolute error = 1.110489478151066600000000000E-11 " " relative error = 1.1007969954678355000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13289999999999985 " " y[1] (analytic) = 1.008818214286709 " " y[1] (numeric) = 1.008818214275432 " " absolute error = 1.127697935032756500000000000E-11 " " relative error = 1.1178405772838886000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13299999999999984 " " y[1] (analytic) = 1.0088314701548928 " " y[1] (numeric) = 1.0088314701434418 " " absolute error = 1.14510623205887900000000000E-11 " " relative error = 1.1350817910974396000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13309999999999983 " " y[1] (analytic) = 1.0088447359347619 " " y[1] (numeric) = 1.0088447359231345 " " absolute error = 1.162736573689926400000000000E-11 " " relative error = 1.152542638399727100000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13319999999999982 " " y[1] (analytic) = 1.0088580116261836 " " y[1] (numeric) = 1.0088580116143777 " " absolute error = 1.18058895992589900000000000E-11 " " relative error = 1.1702231100121822000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1332999999999998 " " y[1] (analytic) = 1.0088712972290252 " " y[1] (numeric) = 1.0088712972170386 " " absolute error = 1.198663390766796500000000000E-11 " " relative error = 1.1881231967437829000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1333999999999998 " " y[1] (analytic) = 1.0088845927431538 " " y[1] (numeric) = 1.0088845927309842 " " absolute error = 1.216959866212619100000000000E-11 " " relative error = 1.2062428893910544000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13349999999999979 " " y[1] (analytic) = 1.0088978981684367 " " y[1] (numeric) = 1.0088978981560817 " " absolute error = 1.235500590723859200000000000E-11 " " relative error = 1.2246041873680175000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13359999999999977 " " y[1] (analytic) = 1.0089112135047404 " " y[1] (numeric) = 1.0089112134921978 " " absolute error = 1.254263359840024300000000000E-11 " " relative error = 1.2431850722354282000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13369999999999976 " " y[1] (analytic) = 1.0089245387519319 " " y[1] (numeric) = 1.0089245387391996 " " absolute error = 1.27322596910062200000000000E-11 " " relative error = 1.2619635267030363000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13379999999999975 " " y[1] (analytic) = 1.0089378739098782 " " y[1] (numeric) = 1.0089378738969537 " " absolute error = 1.292455031887129700000000000E-11 " " relative error = 1.2810055656633781000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13389999999999974 " " y[1] (analytic) = 1.0089512189784453 " " y[1] (numeric) = 1.0089512189653267 " " absolute error = 1.311861730357577500000000000E-11 " " relative error = 1.3002231482368660000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13399999999999973 " " y[1] (analytic) = 1.0089645739575008 " " y[1] (numeric) = 1.0089645739441853 " " absolute error = 1.331557086814427700000000000E-11 " " relative error = 1.3197263027695905000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13409999999999972 " " y[1] (analytic) = 1.0089779388469102 " " y[1] (numeric) = 1.0089779388333957 " " absolute error = 1.351452283415710600000000000E-11 " " relative error = 1.3394269898112837000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1341999999999997 " " y[1] (analytic) = 1.0089913136465403 " " y[1] (numeric) = 1.0089913136328243 " " absolute error = 1.371591729082411000000000000E-11 " " relative error = 1.3593692141168356000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1342999999999997 " " y[1] (analytic) = 1.0090046983562573 " " y[1] (numeric) = 1.0090046983423375 " " absolute error = 1.391975423814528800000000000E-11 " " relative error = 1.3795529654937772000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1343999999999997 " " y[1] (analytic) = 1.0090180929759271 " " y[1] (numeric) = 1.0090180929618011 " " absolute error = 1.412603367612064200000000000E-11 " " relative error = 1.399978233735959000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13449999999999968 " " y[1] (analytic) = 1.0090314975054162 " " y[1] (numeric) = 1.0090314974910815 " " absolute error = 1.433475560475017000000000000E-11 " " relative error = 1.4206450086235517000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13459999999999966 " " y[1] (analytic) = 1.0090449119445901 " " y[1] (numeric) = 1.0090449119300442 " " absolute error = 1.454592002403387600000000000E-11 " " relative error = 1.4415532799230485000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13469999999999965 " " y[1] (analytic) = 1.009058336293315 " " y[1] (numeric) = 1.0090583362785555 " " absolute error = 1.475952693397175600000000000E-11 " " relative error = 1.4627030373872685000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13479999999999964 " " y[1] (analytic) = 1.0090717705514565 " " y[1] (numeric) = 1.0090717705364807 " " absolute error = 1.497579837916873700000000000E-11 " " relative error = 1.4841162755930118000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13489999999999963 " " y[1] (analytic) = 1.0090852147188802 " " y[1] (numeric) = 1.0090852147036857 " " absolute error = 1.519451231501989200000000000E-11 " " relative error = 1.5057709788417534000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13499999999999962 " " y[1] (analytic) = 1.009098668795452 " " y[1] (numeric) = 1.009098668780036 " " absolute error = 1.54158907861301500000000000E-11 " " relative error = 1.527689141095776000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1350999999999996 " " y[1] (analytic) = 1.0091121327810368 " " y[1] (numeric) = 1.0091121327653971 " " absolute error = 1.56397117478945800000000000E-11 " " relative error = 1.5498487472143174000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1351999999999996 " " y[1] (analytic) = 1.0091256066755006 " " y[1] (numeric) = 1.0091256066596341 " " absolute error = 1.586641928952303700000000000E-11 " " relative error = 1.5722937942080310000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1352999999999996 " " y[1] (analytic) = 1.009139090478708 " " y[1] (numeric) = 1.0091390904626125 " " absolute error = 1.60955693218056700000000000E-11 " " relative error = 1.5949802632430352000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13539999999999958 " " y[1] (analytic) = 1.0091525841905247 " " y[1] (numeric) = 1.0091525841741973 " " absolute error = 1.632738388934740200000000000E-11 " " relative error = 1.617930147049482000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13549999999999957 " " y[1] (analytic) = 1.0091660878108155 " " y[1] (numeric) = 1.0091660877942537 " " absolute error = 1.656186299214823500000000000E-11 " " relative error = 1.6411434343851064000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13559999999999955 " " y[1] (analytic) = 1.0091796013394454 " " y[1] (numeric) = 1.0091796013226464 " " absolute error = 1.67990066302081700000000000E-11 " " relative error = 1.6646201139927413000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13569999999999954 " " y[1] (analytic) = 1.0091931247762793 " " y[1] (numeric) = 1.0091931247592403 " " absolute error = 1.703903684813212700000000000E-11 " " relative error = 1.6883821767919185000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13579999999999953 " " y[1] (analytic) = 1.0092066581211818 " " y[1] (numeric) = 1.0092066581039003 " " absolute error = 1.728150955671026200000000000E-11 " " relative error = 1.7123856068174256000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13589999999999952 " " y[1] (analytic) = 1.009220201374018 " " y[1] (numeric) = 1.0092202013564908 " " absolute error = 1.752709088975734600000000000E-11 " " relative error = 1.7366963984564346000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1359999999999995 " " y[1] (analytic) = 1.009233754534652 " " y[1] (numeric) = 1.0092337545168766 " " absolute error = 1.77753367580635300000000000E-11 " " relative error = 1.7612705360077430000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1360999999999995 " " y[1] (analytic) = 1.0092473176029484 " " y[1] (numeric) = 1.009247317584922 " " absolute error = 1.802646920623374200000000000E-11 " " relative error = 1.7861300091486199000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1361999999999995 " " y[1] (analytic) = 1.0092608905787717 " " y[1] (numeric) = 1.0092608905604914 " " absolute error = 1.828026618966305300000000000E-11 " " relative error = 1.8112528049293610000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13629999999999948 " " y[1] (analytic) = 1.009274473461986 " " y[1] (numeric) = 1.009274473443449 " " absolute error = 1.853717179756131400000000000E-11 " " relative error = 1.8366829128230705000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13639999999999947 " " y[1] (analytic) = 1.0092880662524557 " " y[1] (numeric) = 1.0092880662336587 " " absolute error = 1.8796963985323600000000000E-11 " " relative error = 1.8623983195518998000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13649999999999946 " " y[1] (analytic) = 1.0093016689500445 " " y[1] (numeric) = 1.009301668930985 " " absolute error = 1.905942070834498700000000000E-11 " " relative error = 1.888377013006637000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13659999999999944 " " y[1] (analytic) = 1.009315281554617 " " y[1] (numeric) = 1.0093152815352917 " " absolute error = 1.93252081004402500000000000E-11 " " relative error = 1.9146849803635424000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13669999999999943 " " y[1] (analytic) = 1.0093289040660363 " " y[1] (numeric) = 1.0093289040464426 " " absolute error = 1.959366002779461300000000000E-11 " " relative error = 1.9412562098303568000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13679999999999942 " " y[1] (analytic) = 1.0093425364841666 " " y[1] (numeric) = 1.0093425364643014 " " absolute error = 1.986522057961792600000000000E-11 " " relative error = 1.9681346878349407000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1368999999999994 " " y[1] (analytic) = 1.0093561788088716 " " y[1] (numeric) = 1.009356178788732 " " absolute error = 2.013966771130526500000000000E-11 " " relative error = 1.9952984024996834000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1369999999999994 " " y[1] (analytic) = 1.0093698310400148 " " y[1] (numeric) = 1.0093698310195975 " " absolute error = 2.041722346746155400000000000E-11 " " relative error = 2.0227693397993135000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1370999999999994 " " y[1] (analytic) = 1.0093834931774597 " " y[1] (numeric) = 1.0093834931567618 " " absolute error = 2.069788784808679300000000000E-11 " " relative error = 2.0505474864594303000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13719999999999938 " " y[1] (analytic) = 1.0093971652210696 " " y[1] (numeric) = 1.009397165200088 " " absolute error = 2.098166085318098300000000000E-11 " " relative error = 2.0786328291882770000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13729999999999937 " " y[1] (analytic) = 1.0094108471707077 " " y[1] (numeric) = 1.0094108471494394 " " absolute error = 2.1268320438139200000000000E-11 " " relative error = 2.1070033572308525000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13739999999999936 " " y[1] (analytic) = 1.0094245390262375 " " y[1] (numeric) = 1.0094245390046792 " " absolute error = 2.15583106921712900000000000E-11 " " relative error = 2.1357030524508516000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13749999999999934 " " y[1] (analytic) = 1.0094382407875222 " " y[1] (numeric) = 1.0094382407656706 " " absolute error = 2.185163161527725600000000000E-11 " " relative error = 2.164731900609343800000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13759999999999933 " " y[1] (analytic) = 1.009451952454424 " " y[1] (numeric) = 1.0094519524322763 " " absolute error = 2.214783911824724800000000000E-11 " " relative error = 2.1940458943485183000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13769999999999932 " " y[1] (analytic) = 1.0094656740268064 " " y[1] (numeric) = 1.009465674004359 " " absolute error = 2.244737729029111500000000000E-11 " " relative error = 2.223689013688544800000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1377999999999993 " " y[1] (analytic) = 1.0094794055045322 " " y[1] (numeric) = 1.009479405481782 " " absolute error = 2.275024613140885800000000000E-11 " " relative error = 2.2536612443359766000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1378999999999993 " " y[1] (analytic) = 1.009493146887464 " " y[1] (numeric) = 1.0094931468644075 " " absolute error = 2.305644564160047600000000000E-11 " " relative error = 2.2839625719787832000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1379999999999993 " " y[1] (analytic) = 1.009506898175464 " " y[1] (numeric) = 1.0095068981520983 " " absolute error = 2.336575377626104500000000000E-11 " " relative error = 2.314570986933445000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13809999999999928 " " y[1] (analytic) = 1.0095206593683952 " " y[1] (numeric) = 1.0095206593447168 " " absolute error = 2.36783925799954900000000000E-11 " " relative error = 2.3455084708033447000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13819999999999927 " " y[1] (analytic) = 1.0095344304661196 " " y[1] (numeric) = 1.0095344304421252 " " absolute error = 2.399436205280380800000000000E-11 " " relative error = 2.3767750092213494000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13829999999999926 " " y[1] (analytic) = 1.0095482114685 " " y[1] (numeric) = 1.009548211444186 " " absolute error = 2.431388423929092800000000000E-11 " " relative error = 2.40839258225456000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13839999999999925 " " y[1] (analytic) = 1.0095620023753982 " " y[1] (numeric) = 1.0095620023507612 " " absolute error = 2.46369591394568500000000000E-11 " " relative error = 2.4403611745973552000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13849999999999923 " " y[1] (analytic) = 1.0095758031866762 " " y[1] (numeric) = 1.009575803161713 " " absolute error = 2.49631426640917200000000000E-11 " " relative error = 2.4726367832209126000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13859999999999922 " " y[1] (analytic) = 1.0095896139021963 " " y[1] (numeric) = 1.0095896138769034 " " absolute error = 2.52928789024053900000000000E-11 " " relative error = 2.5052633816868514000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1386999999999992 " " y[1] (analytic) = 1.00960343452182 " " y[1] (numeric) = 1.009603434496194 " " absolute error = 2.562616785439786300000000000E-11 " " relative error = 2.5382409546313817000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1387999999999992 " " y[1] (analytic) = 1.0096172650454096 " " y[1] (numeric) = 1.0096172650194466 " " absolute error = 2.596300952006913600000000000E-11 " " relative error = 2.5715694866709116000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1388999999999992 " " y[1] (analytic) = 1.0096311054728266 " " y[1] (numeric) = 1.009631105446523 " " absolute error = 2.630362594402413400000000000E-11 " " relative error = 2.6052709550490444000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13899999999999918 " " y[1] (analytic) = 1.0096449558039327 " " y[1] (numeric) = 1.0096449557772849 " " absolute error = 2.664779508165793000000000000E-11 " " relative error = 2.6393233510922215000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13909999999999917 " " y[1] (analytic) = 1.0096588160385886 " " y[1] (numeric) = 1.0096588160115936 " " absolute error = 2.69950728437606800000000000E-11 " " relative error = 2.673682675270073000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13919999999999916 " " y[1] (analytic) = 1.009672686176657 " " y[1] (numeric) = 1.0096726861493104 " " absolute error = 2.734656945335700600000000000E-11 " " relative error = 2.7084588726382886000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13929999999999915 " " y[1] (analytic) = 1.0096865662179981 " " y[1] (numeric) = 1.0096865661902967 " " absolute error = 2.770139673202720600000000000E-11 " " relative error = 2.7435639592382466000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13939999999999914 " " y[1] (analytic) = 1.0097004561624736 " " y[1] (numeric) = 1.0097004561344136 " " absolute error = 2.80599987689811300000000000E-11 " " relative error = 2.7790419027468405000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13949999999999912 " " y[1] (analytic) = 1.0097143560099446 " " y[1] (numeric) = 1.0097143559815223 " " absolute error = 2.842237556421878000000000000E-11 " " relative error = 2.814892686733163000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1395999999999991 " " y[1] (analytic) = 1.009728265760272 " " y[1] (numeric) = 1.0097282657314837 " " absolute error = 2.878830507313523400000000000E-11 " " relative error = 2.8510943042145265000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1396999999999991 " " y[1] (analytic) = 1.0097421854133168 " " y[1] (numeric) = 1.0097421853841586 " " absolute error = 2.915823138494033600000000000E-11 " " relative error = 2.8876907200826735000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1397999999999991 " " y[1] (analytic) = 1.0097561149689398 " " y[1] (numeric) = 1.0097561149394079 " " absolute error = 2.953193245502916400000000000E-11 " " relative error = 2.9246599270099566000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13989999999999908 " " y[1] (analytic) = 1.0097700544270016 " " y[1] (numeric) = 1.009770054397092 " " absolute error = 2.99096303280066400000000000E-11 " " relative error = 2.962023898102127000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.13999999999999907 " " y[1] (analytic) = 1.0097840037873627 " " y[1] (numeric) = 1.0097840037570718 " " absolute error = 3.02908809146629200000000000E-11 " " relative error = 2.9997386372780654000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14009999999999906 " " y[1] (analytic) = 1.009797963049884 " " y[1] (numeric) = 1.0097979630192075 " " absolute error = 3.067635034881277500000000000E-11 " " relative error = 3.0378700959309984000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14019999999999905 " " y[1] (analytic) = 1.0098119322144252 " " y[1] (numeric) = 1.0098119321833599 " " absolute error = 3.10653724966414300000000000E-11 " " relative error = 3.0763522895315670000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14029999999999904 " " y[1] (analytic) = 1.0098259112808474 " " y[1] (numeric) = 1.0098259112493888 " " absolute error = 3.14586134919636600000000000E-11 " " relative error = 3.115251167605914000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14039999999999903 " " y[1] (analytic) = 1.0098399002490106 " " y[1] (numeric) = 1.0098399002171548 " " absolute error = 3.18558512901745400000000000E-11 " " relative error = 3.154544723606127000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14049999999999901 " " y[1] (analytic) = 1.0098538991187747 " " y[1] (numeric) = 1.0098538990865176 " " absolute error = 3.22570858912740730000000000E-11 " " relative error = 3.1942329399750263000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.140599999999999 " " y[1] (analytic) = 1.0098679078899997 " " y[1] (numeric) = 1.0098679078573374 " " absolute error = 3.266231729526225500000000000E-11 " " relative error = 3.234315799133208300000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.140699999999999 " " y[1] (analytic) = 1.0098819265625456 " " y[1] (numeric) = 1.009881926529474 " " absolute error = 3.30715455021390900000000000E-11 " " relative error = 3.274793283479051000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14079999999999898 " " y[1] (analytic) = 1.0098959551362723 " " y[1] (numeric) = 1.0098959551027873 " " absolute error = 3.348499255650949600000000000E-11 " " relative error = 3.3156873622680405000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14089999999999897 " " y[1] (analytic) = 1.0099099936110394 " " y[1] (numeric) = 1.0099099935771367 " " absolute error = 3.39026584583734800000000000E-11 " " relative error = 3.3569980169372280000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14099999999999896 " " y[1] (analytic) = 1.0099240419867066 " " y[1] (numeric) = 1.009924041952382 " " absolute error = 3.43245432077310400000000000E-11 " " relative error = 3.398725228900219000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14109999999999895 " " y[1] (analytic) = 1.0099381002631334 " " y[1] (numeric) = 1.0099381002283827 " " absolute error = 3.475064680458217500000000000E-11 " " relative error = 3.4408689795471725000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14119999999999894 " " y[1] (analytic) = 1.009952168440179 " " y[1] (numeric) = 1.0099521684049981 " " absolute error = 3.518096924892688500000000000E-11 " " relative error = 3.4834292502448055000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14129999999999893 " " y[1] (analytic) = 1.009966246517703 " " y[1] (numeric) = 1.0099662464820875 " " absolute error = 3.56155105407651700000000000E-11 " " relative error = 3.5264060223363997000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14139999999999892 " " y[1] (analytic) = 1.0099803344955647 " " y[1] (numeric) = 1.0099803344595102 " " absolute error = 3.60544927247019600000000000E-11 " " relative error = 3.5698212621842185000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1414999999999989 " " y[1] (analytic) = 1.009994432373623 " " y[1] (numeric) = 1.0099944323371253 " " absolute error = 3.64976937561323200000000000E-11 " " relative error = 3.613652965428515000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1415999999999989 " " y[1] (analytic) = 1.0100085401517367 " " y[1] (numeric) = 1.0100085401147916 " " absolute error = 3.69451136350562600000000000E-11 " " relative error = 3.6579011133416633000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14169999999999888 " " y[1] (analytic) = 1.0100226578297653 " " y[1] (numeric) = 1.010022657792368 " " absolute error = 3.73971964506836230000000000E-11 " " relative error = 3.702609655414953500000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14179999999999887 " " y[1] (analytic) = 1.0100367854075671 " " y[1] (numeric) = 1.0100367853697136 " " absolute error = 3.78534981138045600000000000E-11 " " relative error = 3.7477346034016007000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14189999999999886 " " y[1] (analytic) = 1.0100509228850012 " " y[1] (numeric) = 1.0100509228466867 " " absolute error = 3.83144627136289300000000000E-11 " " relative error = 3.7933199055144273000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14199999999999885 " " y[1] (analytic) = 1.010065070261926 " " y[1] (numeric) = 1.0100650702231462 " " absolute error = 3.87798682055517930000000000E-11 " " relative error = 3.8393435578853896000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14209999999999884 " " y[1] (analytic) = 1.0100792275382 " " y[1] (numeric) = 1.0100792274989503 " " absolute error = 3.92497145895731600000000000E-11 " " relative error = 3.885805540742968700000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14219999999999883 " " y[1] (analytic) = 1.0100933947136819 " " y[1] (numeric) = 1.0100933946739576 " " absolute error = 3.97242239102979500000000000E-11 " " relative error = 3.932727816872623000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14229999999999882 " " y[1] (analytic) = 1.0101075717882297 " " y[1] (numeric) = 1.0101075717480263 " " absolute error = 4.02033961677261700000000000E-11 " " relative error = 3.9801103655279657000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1423999999999988 " " y[1] (analytic) = 1.0101217587617017 " " y[1] (numeric) = 1.0101217587210147 " " absolute error = 4.06870093172528870000000000E-11 " " relative error = 4.027931183972384700000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1424999999999988 " " y[1] (analytic) = 1.0101359556339564 " " y[1] (numeric) = 1.010135955592781 " " absolute error = 4.117550744808795600000000000E-11 " " relative error = 4.076234215645399000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14259999999999878 " " y[1] (analytic) = 1.0101501624048512 " " y[1] (numeric) = 1.0101501623631828 " " absolute error = 4.166844647102152500000000000E-11 " " relative error = 4.124975476103672000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14269999999999877 " " y[1] (analytic) = 1.0101643790742445 " " y[1] (numeric) = 1.0101643790320782 " " absolute error = 4.216627047526344500000000000E-11 " " relative error = 4.174198907499225000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14279999999999876 " " y[1] (analytic) = 1.0101786056419941 " " y[1] (numeric) = 1.0101786055993252 " " absolute error = 4.266897946081371600000000000E-11 " " relative error = 4.2239044880282820000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14289999999999875 " " y[1] (analytic) = 1.0101928421079576 " " y[1] (numeric) = 1.0101928420647812 " " absolute error = 4.31763513830674130000000000E-11 " " relative error = 4.274070215442412000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14299999999999874 " " y[1] (analytic) = 1.0102070884719927 " " y[1] (numeric) = 1.0102070884283039 " " absolute error = 4.368883033123438500000000000E-11 " " relative error = 4.324740029028773500000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14309999999999873 " " y[1] (analytic) = 1.0102213447339567 " " y[1] (numeric) = 1.0102213446897508 " " absolute error = 4.42059722161047830000000000E-11 " " relative error = 4.375869946377592400000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14319999999999872 " " y[1] (analytic) = 1.0102356108937074 " " y[1] (numeric) = 1.0102356108489794 " " absolute error = 4.47279990822835300000000000E-11 " " relative error = 4.427481925994946600000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1432999999999987 " " y[1] (analytic) = 1.0102498869511018 " " y[1] (numeric) = 1.010249886905847 " " absolute error = 4.52549109297706300000000000E-11 " " relative error = 4.4795759459422796000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1433999999999987 " " y[1] (analytic) = 1.0102641729059978 " " y[1] (numeric) = 1.0102641728602106 " " absolute error = 4.57871518477759300000000000E-11 " " relative error = 4.532195941985196000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14349999999999868 " " y[1] (analytic) = 1.0102784687582518 " " y[1] (numeric) = 1.0102784687119275 " " absolute error = 4.63242777470895800000000000E-11 " " relative error = 4.585297933155741000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14359999999999867 " " y[1] (analytic) = 1.0102927745077208 " " y[1] (numeric) = 1.0102927744608545 " " absolute error = 4.68662886277115830000000000E-11 " " relative error = 4.638881897432933000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14369999999999866 " " y[1] (analytic) = 1.0103070901542623 " " y[1] (numeric) = 1.0103070901068487 " " absolute error = 4.741362857885178500000000000E-11 " " relative error = 4.69299176863267000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14379999999999865 " " y[1] (analytic) = 1.010321415697733 " " y[1] (numeric) = 1.0103214156497669 " " absolute error = 4.79660755559052630000000000E-11 " " relative error = 4.747605545189761000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14389999999999864 " " y[1] (analytic) = 1.0103357511379893 " " y[1] (numeric) = 1.0103357510894657 " " absolute error = 4.85236295588720170000000000E-11 " " relative error = 4.802723204065335600000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14399999999999863 " " y[1] (analytic) = 1.0103500964748884 " " y[1] (numeric) = 1.0103500964258019 " " absolute error = 4.90865126323569700000000000E-11 " " relative error = 4.858366699188709000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14409999999999862 " " y[1] (analytic) = 1.0103644517082864 " " y[1] (numeric) = 1.0103644516586319 " " absolute error = 4.9654502731755200000000000E-11 " " relative error = 4.914514029843511400000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1441999999999986 " " y[1] (analytic) = 1.0103788168380397 " " y[1] (numeric) = 1.010378816787812 " " absolute error = 5.02275998570667100000000000E-11 " " relative error = 4.9711651729054435000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1442999999999986 " " y[1] (analytic) = 1.0103931918640048 " " y[1] (numeric) = 1.0103931918131988 " " absolute error = 5.080602605289641000000000000E-11 " " relative error = 5.028342081281039000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14439999999999859 " " y[1] (analytic) = 1.010407576786038 " " y[1] (numeric) = 1.010407576734648 " " absolute error = 5.139000336384925000000000000E-11 " " relative error = 5.0860667065971030000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14449999999999857 " " y[1] (analytic) = 1.0104219716039957 " " y[1] (numeric) = 1.0104219715520164 " " absolute error = 5.19793097453202800000000000E-11 " " relative error = 5.144317048332357000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14459999999999856 " " y[1] (analytic) = 1.0104363763177335 " " y[1] (numeric) = 1.0104363762651594 " " absolute error = 5.25741672419144400000000000E-11 " " relative error = 5.203115057427663000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14469999999999855 " " y[1] (analytic) = 1.0104507909271074 " " y[1] (numeric) = 1.010450790873933 " " absolute error = 5.3174353809026800000000000E-11 " " relative error = 5.26243873392769000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14479999999999854 " " y[1] (analytic) = 1.0104652154319735 " " y[1] (numeric) = 1.0104652153781934 " " absolute error = 5.37800914912622800000000000E-11 " " relative error = 5.32231002808655000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14489999999999853 " " y[1] (analytic) = 1.0104796498321875 " " y[1] (numeric) = 1.0104796497777961 " " absolute error = 5.439138028862089000000000000E-11 " " relative error = 5.3827289146945000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14499999999999852 " " y[1] (analytic) = 1.010494094127605 " " y[1] (numeric) = 1.0104940940725968 " " absolute error = 5.50082202011026300000000000E-11 " " relative error = 5.4436953685111000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1450999999999985 " " y[1] (analytic) = 1.0105085483180813 " " y[1] (numeric) = 1.010508548262451 " " absolute error = 5.56303891841025700000000000E-11 " " relative error = 5.505187390714837000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1451999999999985 " " y[1] (analytic) = 1.0105230124034725 " " y[1] (numeric) = 1.0105230123472138 " " absolute error = 5.62587754160404100000000000E-11 " " relative error = 5.567292849890875000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14529999999999849 " " y[1] (analytic) = 1.0105374863836334 " " y[1] (numeric) = 1.010537486326741 " " absolute error = 5.68924907184964500000000000E-11 " " relative error = 5.6299238261902720000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14539999999999847 " " y[1] (analytic) = 1.0105519702584194 " " y[1] (numeric) = 1.0105519702008874 " " absolute error = 5.75319791806805400000000000E-11 " " relative error = 5.693124240405805000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14549999999999846 " " y[1] (analytic) = 1.0105664640276857 " " y[1] (numeric) = 1.0105664639695082 " " absolute error = 5.8177462847197600000000000E-11 " " relative error = 5.756916038488663000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14559999999999845 " " y[1] (analytic) = 1.0105809676912874 " " y[1] (numeric) = 1.0105809676324586 " " absolute error = 5.88287196734427200000000000E-11 " " relative error = 5.821277221145307000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14569999999999844 " " y[1] (analytic) = 1.0105954812490792 " " y[1] (numeric) = 1.0105954811895936 " " absolute error = 5.94855276148109600000000000E-11 " " relative error = 5.886185790311257000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14579999999999843 " " y[1] (analytic) = 1.0106100047009163 " " y[1] (numeric) = 1.0106100046407678 " " absolute error = 6.0148552805117110000000000E-11 " " relative error = 5.9517076345308580000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14589999999999842 " " y[1] (analytic) = 1.0106245380466534 " " y[1] (numeric) = 1.010624537985836 " " absolute error = 6.0817351155151300000000000E-11 " " relative error = 6.017798783383962000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1459999999999984 " " y[1] (analytic) = 1.0106390812861452 " " y[1] (numeric) = 1.0106390812246528 " " absolute error = 6.1492366754123400000000000E-11 " " relative error = 6.08450315179459000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1460999999999984 " " y[1] (analytic) = 1.010653634419246 " " y[1] (numeric) = 1.010653634357073 " " absolute error = 6.21731555128235400000000000E-11 " " relative error = 6.151776770540208000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1461999999999984 " " y[1] (analytic) = 1.0106681974458105 " " y[1] (numeric) = 1.0106681973829506 " " absolute error = 6.28599394758566600000000000E-11 " " relative error = 6.219641583134613000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14629999999999838 " " y[1] (analytic) = 1.010682770365693 " " y[1] (numeric) = 1.0106827703021402 " " absolute error = 6.35529406878276900000000000E-11 " " relative error = 6.288119531792599000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14639999999999836 " " y[1] (analytic) = 1.010697353178748 " " y[1] (numeric) = 1.0106973531144958 " " absolute error = 6.42521591487366100000000000E-11 " " relative error = 6.3572105879823370000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14649999999999835 " " y[1] (analytic) = 1.0107119458848293 " " y[1] (numeric) = 1.0107119458198717 " " absolute error = 6.49575948585834300000000000E-11 " " relative error = 6.42691472313768000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14659999999999834 " " y[1] (analytic) = 1.0107265484837908 " " y[1] (numeric) = 1.010726548418122 " " absolute error = 6.56688037281583100000000000E-11 " " relative error = 6.4971879710362090000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14669999999999833 " " y[1] (analytic) = 1.0107411609754873 " " y[1] (numeric) = 1.0107411609091006 " " absolute error = 6.63866739358809400000000000E-11 " " relative error = 6.568118178922265000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14679999999999832 " " y[1] (analytic) = 1.010755783359772 " " y[1] (numeric) = 1.0107557832926612 " " absolute error = 6.71107613925414600000000000E-11 " " relative error = 6.6396613798700200000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1468999999999983 " " y[1] (analytic) = 1.010770415636499 " " y[1] (numeric) = 1.0107704155686577 " " absolute error = 6.78412881427448200000000000E-11 " " relative error = 6.711839513033633000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1469999999999983 " " y[1] (analytic) = 1.0107850578055215 " " y[1] (numeric) = 1.0107850577369435 " " absolute error = 6.85780321418860700000000000E-11 " " relative error = 6.7846305811814560000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1470999999999983 " " y[1] (analytic) = 1.0107997098666937 " " y[1] (numeric) = 1.0107997097973722 " " absolute error = 6.93214374791750700000000000E-11 " " relative error = 6.858078489982682000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14719999999999828 " " y[1] (analytic) = 1.0108143718198686 " " y[1] (numeric) = 1.0108143717497975 " " absolute error = 7.00710600654019800000000000E-11 " " relative error = 6.9321392749141620000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14729999999999827 " " y[1] (analytic) = 1.0108290436649 " " y[1] (numeric) = 1.0108290435940726 " " absolute error = 7.08273439897766400000000000E-11 " " relative error = 7.006856840300348000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14739999999999825 " " y[1] (analytic) = 1.010843725401641 " " y[1] (numeric) = 1.0108437253300506 " " absolute error = 7.15902892522990400000000000E-11 " " relative error = 7.082231155350339000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14749999999999824 " " y[1] (analytic) = 1.0108584170299444 " " y[1] (numeric) = 1.0108584169575847 " " absolute error = 7.23596738083642800000000000E-11 " " relative error = 7.1582402232914080000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14759999999999823 " " y[1] (analytic) = 1.0108731185496638 " " y[1] (numeric) = 1.010873118476528 " " absolute error = 7.31357197025772600000000000E-11 " " relative error = 7.2349059798432190000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14769999999999822 " " y[1] (analytic) = 1.010887829960652 " " y[1] (numeric) = 1.0108878298867334 " " absolute error = 7.39186489795429200000000000E-11 " " relative error = 7.312250359411305000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1477999999999982 " " y[1] (analytic) = 1.0109025512627619 " " y[1] (numeric) = 1.0109025511880538 " " absolute error = 7.47080175500514100000000000E-11 " " relative error = 7.39022940012669000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1478999999999982 " " y[1] (analytic) = 1.0109172824558463 " " y[1] (numeric) = 1.0109172823803418 " " absolute error = 7.5504491547917500000000000E-11 " " relative error = 7.468908965973217000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1479999999999982 " " y[1] (analytic) = 1.0109320235397576 " " y[1] (numeric) = 1.0109320234634502 " " absolute error = 7.63074048393264100000000000E-11 " " relative error = 7.548223130981409000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14809999999999818 " " y[1] (analytic) = 1.010946774514349 " " y[1] (numeric) = 1.0109467744372316 " " absolute error = 7.71174235580929200000000000E-11 " " relative error = 7.628237757140037000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14819999999999817 " " y[1] (analytic) = 1.0109615353794725 " " y[1] (numeric) = 1.0109615353015382 " " absolute error = 7.79343256596121100000000000E-11 " " relative error = 7.708930847735848000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14829999999999816 " " y[1] (analytic) = 1.0109763061349808 " " y[1] (numeric) = 1.0109763060562225 " " absolute error = 7.8758333188488900000000000E-11 " " relative error = 7.790324334067377000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14839999999999814 " " y[1] (analytic) = 1.010991086780726 " " y[1] (numeric) = 1.0109910867011367 " " absolute error = 7.95892241001183700000000000E-11 " " relative error = 7.872396219985716000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14849999999999813 " " y[1] (analytic) = 1.0110058773165602 " " y[1] (numeric) = 1.011005877236133 " " absolute error = 8.04272204391054400000000000E-11 " " relative error = 7.955168436070579000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14859999999999812 " " y[1] (analytic) = 1.0110206777423354 " " y[1] (numeric) = 1.0110206776610635 " " absolute error = 8.12718781162402600000000000E-11 " " relative error = 8.038597024318515000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1486999999999981 " " y[1] (analytic) = 1.0110354880579042 " " y[1] (numeric) = 1.0110354879757801 " " absolute error = 8.21240853099425300000000000E-11 " " relative error = 8.122769801848845000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1487999999999981 " " y[1] (analytic) = 1.011050308263118 " " y[1] (numeric) = 1.0110503081801345 " " absolute error = 8.2983397931002400000000000E-11 " " relative error = 8.207642809936875000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1488999999999981 " " y[1] (analytic) = 1.0110651383578286 " " y[1] (numeric) = 1.0110651382739786 " " absolute error = 8.3850038024024800000000000E-11 " " relative error = 8.293237976755283000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14899999999999808 " " y[1] (analytic) = 1.011079978341888 " " y[1] (numeric) = 1.011079978257164 " " absolute error = 8.47240055890097200000000000E-11 " " relative error = 8.379555268016693000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14909999999999807 " " y[1] (analytic) = 1.0110948282151475 " " y[1] (numeric) = 1.0110948281295424 " " absolute error = 8.56050785813522500000000000E-11 " " relative error = 8.466572688584322000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14919999999999806 " " y[1] (analytic) = 1.0111096879774588 " " y[1] (numeric) = 1.0111096878909651 " " absolute error = 8.64937010902622200000000000E-11 " " relative error = 8.554334126031088000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14929999999999805 " " y[1] (analytic) = 1.0111245576286731 " " y[1] (numeric) = 1.0111245575412835 " " absolute error = 8.73896510711347200000000000E-11 " " relative error = 8.642817584817065000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14939999999999803 " " y[1] (analytic) = 1.0111394371686417 " " y[1] (numeric) = 1.0111394370803488 " " absolute error = 8.82929285239697500000000000E-11 " " relative error = 8.732023030493659000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14949999999999802 " " y[1] (analytic) = 1.011154326597216 " " y[1] (numeric) = 1.0111543265080123 " " absolute error = 8.92037554933722300000000000E-11 " " relative error = 8.821972388088858000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149599999999998 " " y[1] (analytic) = 1.011169225914247 " " y[1] (numeric) = 1.011169225824125 " " absolute error = 9.01221319793421600000000000E-11 " " relative error = 8.912665622102807000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149699999999998 " " y[1] (analytic) = 1.0111841351195858 " " y[1] (numeric) = 1.0111841350285378 " " absolute error = 9.10480579818795400000000000E-11 " " relative error = 9.004102696994144000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.149799999999998 " " y[1] (analytic) = 1.0111990542130833 " " y[1] (numeric) = 1.0111990541211016 " " absolute error = 9.1981755545589290000000000E-11 " " relative error = 9.096305535725568000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14989999999999798 " " y[1] (analytic) = 1.0112139831945903 " " y[1] (numeric) = 1.011213983101667 " " absolute error = 9.29232246704714300000000000E-11 " " relative error = 9.189274101700192000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.14999999999999797 " " y[1] (analytic) = 1.0112289220639574 " " y[1] (numeric) = 1.011228921970085 " " absolute error = 9.38724653565259400000000000E-11 " " relative error = 9.28300835827842000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15009999999999796 " " y[1] (analytic) = 1.0112438708210352 " " y[1] (numeric) = 1.011243870726206 " " absolute error = 9.4829255559147900000000000E-11 " " relative error = 9.377486311205568000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15019999999999795 " " y[1] (analytic) = 1.0112588294656744 " " y[1] (numeric) = 1.0112588293698803 " " absolute error = 9.57940393675471600000000000E-11 " " relative error = 9.472751839226216000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15029999999999794 " " y[1] (analytic) = 1.0112737979977253 " " y[1] (numeric) = 1.0112737979009585 " " absolute error = 9.67668167817237200000000000E-11 " " relative error = 9.568804904598287000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15039999999999792 " " y[1] (analytic) = 1.011288776417038 " " y[1] (numeric) = 1.0112887763192906 " " absolute error = 9.77473657570726600000000000E-11 " " relative error = 9.66562351293843900000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1504999999999979 " " y[1] (analytic) = 1.011303764723463 " " y[1] (numeric) = 1.011303764624727 " " absolute error = 9.87361303828038200000000000E-11 " " relative error = 9.763251539936947000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1505999999999979 " " y[1] (analytic) = 1.0113187629168505 " " y[1] (numeric) = 1.0113187628171176 " " absolute error = 9.97328886143122900000000000E-11 " " relative error = 9.86166699079746100000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1506999999999979 " " y[1] (analytic) = 1.0113337709970502 " " y[1] (numeric) = 1.0113337708963126 " " absolute error = 1.00737640451598050000000000E-10 " " relative error = 9.960869827602332000000000E-9 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15079999999999788 " " y[1] (analytic) = 1.0113487889639123 " " y[1] (numeric) = 1.0113487888621617 " " absolute error = 1.01750607939266050000000000E-10 " " relative error = 1.006088196768452200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15089999999999787 " " y[1] (analytic) = 1.0113638168172865 " " y[1] (numeric) = 1.0113638167145147 " " absolute error = 1.02771791077316270000000000E-10 " " relative error = 1.016170337205993500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15099999999999786 " " y[1] (analytic) = 1.0113788545570224 " " y[1] (numeric) = 1.0113788544532214 " " absolute error = 1.03800967821143790000000000E-10 " " relative error = 1.026331204705757500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15109999999999785 " " y[1] (analytic) = 1.0113939021829699 " " y[1] (numeric) = 1.011393902078131 " " absolute error = 1.04838804304563380000000000E-10 " " relative error = 1.036577381752862600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15119999999999784 " " y[1] (analytic) = 1.0114089596949782 " " y[1] (numeric) = 1.0114089595890934 " " absolute error = 1.0588485643836520000000000E-10 " " relative error = 1.046904473441663700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15129999999999783 " " y[1] (analytic) = 1.0114240270928971 " " y[1] (numeric) = 1.0114240269859578 " " absolute error = 1.06939346267154180000000000E-10 " " relative error = 1.057314671221786500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15139999999999781 " " y[1] (analytic) = 1.0114391043765756 " " y[1] (numeric) = 1.0114391042685735 " " absolute error = 1.08002051746325380000000000E-10 " " relative error = 1.067805775740646300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1514999999999978 " " y[1] (analytic) = 1.0114541915458628 " " y[1] (numeric) = 1.0114541914367896 " " absolute error = 1.09073194920483730000000000E-10 " " relative error = 1.078379978373325800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1515999999999978 " " y[1] (analytic) = 1.0114692886006085 " " y[1] (numeric) = 1.0114692884904553 " " absolute error = 1.10153219878839080000000000E-10 " " relative error = 1.089041665627224800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15169999999999778 " " y[1] (analytic) = 1.0114843955406612 " " y[1] (numeric) = 1.0114843954294195 " " absolute error = 1.11241682532181580000000000E-10 " " relative error = 1.099786442802416100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15179999999999777 " " y[1] (analytic) = 1.0114995123658699 " " y[1] (numeric) = 1.011499512253531 " " absolute error = 1.12338804925116160000000000E-10 " " relative error = 1.110616501063443500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15189999999999776 " " y[1] (analytic) = 1.0115146390760832 " " y[1] (numeric) = 1.0115146389626388 " " absolute error = 1.1344436501303790000000000E-10 " " relative error = 1.121529641099983500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15199999999999775 " " y[1] (analytic) = 1.0115297756711503 " " y[1] (numeric) = 1.0115297755565913 " " absolute error = 1.14559028929761550000000000E-10 " " relative error = 1.132532444274827200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15209999999999774 " " y[1] (analytic) = 1.0115449221509198 " " y[1] (numeric) = 1.0115449220352373 " " absolute error = 1.15682574630682210000000000E-10 " " relative error = 1.143622711136724800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15219999999999773 " " y[1] (analytic) = 1.0115600785152399 " " y[1] (numeric) = 1.011560078398425 " " absolute error = 1.16814780071194950000000000E-10 " " relative error = 1.154798242360995200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15229999999999771 " " y[1] (analytic) = 1.0115752447639594 " " y[1] (numeric) = 1.0115752446460033 " " absolute error = 1.1795608934050960000000000E-10 " " relative error = 1.166063423863574500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1523999999999977 " " y[1] (analytic) = 1.0115904208969262 " " y[1] (numeric) = 1.0115904207778201 " " absolute error = 1.19106058349416340000000000E-10 " " relative error = 1.177413861272144200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1524999999999977 " " y[1] (analytic) = 1.011605606913989 " " y[1] (numeric) = 1.0116056067937236 " " absolute error = 1.20265353231729930000000000E-10 " " relative error = 1.188856135333336600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15259999999999768 " " y[1] (analytic) = 1.0116208028149956 " " y[1] (numeric) = 1.011620802693562 " " absolute error = 1.21433529898240520000000000E-10 " " relative error = 1.200385851697913400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15269999999999767 " " y[1] (analytic) = 1.011636008599794 " " y[1] (numeric) = 1.0116360084771832 " " absolute error = 1.22610810393553040000000000E-10 " " relative error = 1.212005200993771800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15279999999999766 " " y[1] (analytic) = 1.0116512242682325 " " y[1] (numeric) = 1.011651224144435 " " absolute error = 1.2379741676227240000000000E-10 " " relative error = 1.223716373711898500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15289999999999765 " " y[1] (analytic) = 1.0116664498201589 " " y[1] (numeric) = 1.0116664496951655 " " absolute error = 1.24993349004398620000000000E-10 " " relative error = 1.23551936536610800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15299999999999764 " " y[1] (analytic) = 1.0116816852554205 " " y[1] (numeric) = 1.011681685129222 " " absolute error = 1.26198385075326770000000000E-10 " " relative error = 1.247411976658105700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15309999999999763 " " y[1] (analytic) = 1.0116969305738652 " " y[1] (numeric) = 1.0116969304464525 " " absolute error = 1.27412747019661770000000000E-10 " " relative error = 1.259396397964649100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15319999999999762 " " y[1] (analytic) = 1.0117121857753408 " " y[1] (numeric) = 1.0117121856467042 " " absolute error = 1.28636656882008540000000000E-10 " " relative error = 1.27147481952513900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1532999999999976 " " y[1] (analytic) = 1.0117274508596945 " " y[1] (numeric) = 1.0117274507298246 " " absolute error = 1.29869892617762160000000000E-10 " " relative error = 1.283645042025971500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1533999999999976 " " y[1] (analytic) = 1.0117427258267737 " " y[1] (numeric) = 1.011742725695661 " " absolute error = 1.31112676271527560000000000E-10 " " relative error = 1.295909255630034000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15349999999999758 " " y[1] (analytic) = 1.0117580106764255 " " y[1] (numeric) = 1.0117580105440604 " " absolute error = 1.32365007843304740000000000E-10 " " relative error = 1.308267455721059000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15359999999999757 " " y[1] (analytic) = 1.0117733054084974 " " y[1] (numeric) = 1.0117733052748703 " " absolute error = 1.33627109377698620000000000E-10 " " relative error = 1.320721832285815000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15369999999999756 " " y[1] (analytic) = 1.011788610022836 " " y[1] (numeric) = 1.0117886098879374 " " absolute error = 1.34898536785499350000000000E-10 " " relative error = 1.333267991447884500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15379999999999755 " " y[1] (analytic) = 1.0118039245192887 " " y[1] (numeric) = 1.0118039243831085 " " absolute error = 1.36180178245126630000000000E-10 " " relative error = 1.345914706842299400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15389999999999754 " " y[1] (analytic) = 1.011819248897702 " " y[1] (numeric) = 1.0118192487602307 " " absolute error = 1.37471367622765680000000000E-10 " " relative error = 1.358655390006960000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15399999999999753 " " y[1] (analytic) = 1.0118345831579227 " " y[1] (numeric) = 1.0118345830191504 " " absolute error = 1.38772326963021440000000000E-10 " " relative error = 1.371492230774666600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15409999999999752 " " y[1] (analytic) = 1.0118499272997978 " " y[1] (numeric) = 1.0118499271597146 " " absolute error = 1.40083278310498830000000000E-10 " " relative error = 1.384427418839888600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1541999999999975 " " y[1] (analytic) = 1.0118652813231737 " " y[1] (numeric) = 1.0118652811817694 " " absolute error = 1.41404221665197840000000000E-10 " " relative error = 1.397460949349794000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1542999999999975 " " y[1] (analytic) = 1.0118806452278966 " " y[1] (numeric) = 1.0118806450851614 " " absolute error = 1.42735157027118480000000000E-10 " " relative error = 1.410592817446088800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15439999999999748 " " y[1] (analytic) = 1.0118960190138129 " " y[1] (numeric) = 1.0118960188697368 " " absolute error = 1.44076084396260740000000000E-10 " " relative error = 1.423823018265022200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15449999999999747 " " y[1] (analytic) = 1.0119114026807692 " " y[1] (numeric) = 1.011911402535342 " " absolute error = 1.45427225817229560000000000E-10 " " relative error = 1.437153741246138800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15459999999999746 " " y[1] (analytic) = 1.0119267962286114 " " y[1] (numeric) = 1.0119267960818228 " " absolute error = 1.46788581290024920000000000E-10 " " relative error = 1.450584981414633000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15469999999999745 " " y[1] (analytic) = 1.0119421996571858 " " y[1] (numeric) = 1.0119421995090254 " " absolute error = 1.48160372859251770000000000E-10 " " relative error = 1.464118928032093500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15479999999999744 " " y[1] (analytic) = 1.011957612966338 " " y[1] (numeric) = 1.0119576128167957 " " absolute error = 1.49542156435700240000000000E-10 " " relative error = 1.477751187595193000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15489999999999743 " " y[1] (analytic) = 1.011973036155914 " " y[1] (numeric) = 1.0119730360049795 " " absolute error = 1.5093459815318510000000000E-10 " " relative error = 1.4914883377379900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15499999999999742 " " y[1] (analytic) = 1.0119884692257597 " " y[1] (numeric) = 1.0119884690734224 " " absolute error = 1.52337253922496530000000000E-10 " " relative error = 1.505325984979304600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1550999999999974 " " y[1] (analytic) = 1.0120039121757207 " " y[1] (numeric) = 1.0120039120219702 " " absolute error = 1.53750567832844350000000000E-10 " " relative error = 1.519268512532663500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1551999999999974 " " y[1] (analytic) = 1.0120193650056426 " " y[1] (numeric) = 1.0120193648504683 " " absolute error = 1.55174317839623650000000000E-10 " " relative error = 1.53331372111400720000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15529999999999738 " " y[1] (analytic) = 1.0120348277153708 " " y[1] (numeric) = 1.012034827558762 " " absolute error = 1.56608725987439360000000000E-10 " " relative error = 1.547463799649834700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15539999999999737 " " y[1] (analytic) = 1.0120503003047507 " " y[1] (numeric) = 1.012050300146697 " " absolute error = 1.58053792276291460000000000E-10 " " relative error = 1.561718742919180600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15549999999999736 " " y[1] (analytic) = 1.012065782773628 " " y[1] (numeric) = 1.0120657826141182 " " absolute error = 1.5950973875078490000000000E-10 " " relative error = 1.576080739669300500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15559999999999735 " " y[1] (analytic) = 1.0120812751218469 " " y[1] (numeric) = 1.0120812749608707 " " absolute error = 1.6097612132170980000000000E-10 " " relative error = 1.59054539668594800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15569999999999734 " " y[1] (analytic) = 1.0120967773492533 " " y[1] (numeric) = 1.0120967771867997 " " absolute error = 1.62453606122880960000000000E-10 " " relative error = 1.605119290552010400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15579999999999733 " " y[1] (analytic) = 1.012112289455692 " " y[1] (numeric) = 1.0121122892917498 " " absolute error = 1.63942193154298370000000000E-10 " " relative error = 1.61980241582152400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15589999999999732 " " y[1] (analytic) = 1.0121278114410075 " " y[1] (numeric) = 1.012127811275566 " " absolute error = 1.65441438326752180000000000E-10 " " relative error = 1.634590379363318700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1559999999999973 " " y[1] (analytic) = 1.012143343305045 " " y[1] (numeric) = 1.0121433431380933 " " absolute error = 1.66951785729452240000000000E-10 " " relative error = 1.649487563533137000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1560999999999973 " " y[1] (analytic) = 1.0121588850476493 " " y[1] (numeric) = 1.0121588848791758 " " absolute error = 1.68473457407003480000000000E-10 " " relative error = 1.664496156639204700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15619999999999729 " " y[1] (analytic) = 1.0121744366686645 " " y[1] (numeric) = 1.0121744364986585 " " absolute error = 1.70006009270196050000000000E-10 " " relative error = 1.67961176563331400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15629999999999727 " " y[1] (analytic) = 1.0121899981679352 " " y[1] (numeric) = 1.0121899979963855 " " absolute error = 1.71549663363634860000000000E-10 " " relative error = 1.694836578845275200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15639999999999726 " " y[1] (analytic) = 1.0122055695453063 " " y[1] (numeric) = 1.0122055693722012 " " absolute error = 1.7310508582113470000000000E-10 " " relative error = 1.71017717180607300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15649999999999725 " " y[1] (analytic) = 1.0122211508006214 " " y[1] (numeric) = 1.0122211506259498 " " absolute error = 1.7467161050888080000000000E-10 " " relative error = 1.72562695781177300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15659999999999724 " " y[1] (analytic) = 1.012236741933725 " " y[1] (numeric) = 1.0122367417574756 " " absolute error = 1.76249459471478080000000000E-10 " " relative error = 1.741188124971438700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15669999999999723 " " y[1] (analytic) = 1.0122523429444612 " " y[1] (numeric) = 1.0122523427666223 " " absolute error = 1.77838854753531450000000000E-10 " " relative error = 1.75686286125285720000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15679999999999722 " " y[1] (analytic) = 1.0122679538326742 " " y[1] (numeric) = 1.0122679536532342 " " absolute error = 1.79440018399645850000000000E-10 " " relative error = 1.77265335448233420000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1568999999999972 " " y[1] (analytic) = 1.0122835745982073 " " y[1] (numeric) = 1.012283574417155 " " absolute error = 1.8105228427600650000000000E-10 " " relative error = 1.7885530183364800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1569999999999972 " " y[1] (analytic) = 1.0122992052409048 " " y[1] (numeric) = 1.0122992050582282 " " absolute error = 1.8267654056103310000000000E-10 " " relative error = 1.80457062116886800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1570999999999972 " " y[1] (analytic) = 1.0123148457606104 " " y[1] (numeric) = 1.0123148455762978 " " absolute error = 1.84312565210120740000000000E-10 " " relative error = 1.820703963613574400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15719999999999718 " " y[1] (analytic) = 1.0123304961571673 " " y[1] (numeric) = 1.0123304959712072 " " absolute error = 1.85960136178664470000000000E-10 " " relative error = 1.836950846433787800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15729999999999716 " " y[1] (analytic) = 1.0123461564304193 " " y[1] (numeric) = 1.0123461562427996 " " absolute error = 1.87619697555874150000000000E-10 " " relative error = 1.853315650621227600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15739999999999715 " " y[1] (analytic) = 1.0123618265802095 " " y[1] (numeric) = 1.0123618263909184 " " absolute error = 1.89291027297144860000000000E-10 " " relative error = 1.869796176892366500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15749999999999714 " " y[1] (analytic) = 1.0123775066063816 " " y[1] (numeric) = 1.012377506415407 " " absolute error = 1.90974569491686450000000000E-10 " " relative error = 1.886396805988484700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15759999999999713 " " y[1] (analytic) = 1.012393196508779 " " y[1] (numeric) = 1.0123931963161086 " " absolute error = 1.92670324139498920000000000E-10 " " relative error = 1.903117531843549800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15769999999999712 " " y[1] (analytic) = 1.012408896287244 " " y[1] (numeric) = 1.012408896092866 " " absolute error = 1.9437784715137240000000000E-10 " " relative error = 1.91995396192392700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1577999999999971 " " y[1] (analytic) = 1.0124246059416202 " " y[1] (numeric) = 1.0124246057455224 " " absolute error = 1.9609780466112170000000000E-10 " " relative error = 1.936912669943833300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1578999999999971 " " y[1] (analytic) = 1.0124403254717502 " " y[1] (numeric) = 1.0124403252739205 " " absolute error = 1.97829752579536940000000000E-10 " " relative error = 1.953989263390486200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1579999999999971 " " y[1] (analytic) = 1.012456054877477 " " y[1] (numeric) = 1.012456054677903 " " absolute error = 1.995741349958280000000000E-10 " " relative error = 1.971188122530212700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15809999999999708 " " y[1] (analytic) = 1.0124717941586432 " " y[1] (numeric) = 1.0124717939573122 " " absolute error = 2.01330951909994840000000000E-10 " " relative error = 1.98850924116162100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15819999999999707 " " y[1] (analytic) = 1.0124875433150915 " " y[1] (numeric) = 1.0124875431119913 " " absolute error = 2.03100203322037500000000000E-10 " " relative error = 2.005952613076560400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15829999999999705 " " y[1] (analytic) = 1.0125033023466643 " " y[1] (numeric) = 1.0125033021417824 " " absolute error = 2.04881889231955940000000000E-10 " " relative error = 2.02351823206012400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15839999999999704 " " y[1] (analytic) = 1.0125190712532042 " " y[1] (numeric) = 1.012519071046528 " " absolute error = 2.06676231684355120000000000E-10 " " relative error = 2.041208284882476700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15849999999999703 " " y[1] (analytic) = 1.0125348500345532 " " y[1] (numeric) = 1.01253484982607 " " absolute error = 2.08483230679235020000000000E-10 " " relative error = 2.059022765212678300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15859999999999702 " " y[1] (analytic) = 1.0125506386905538 " " y[1] (numeric) = 1.012550638480251 " " absolute error = 2.10302886216595650000000000E-10 " " relative error = 2.07696166671291200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158699999999997 " " y[1] (analytic) = 1.0125664372210479 " " y[1] (numeric) = 1.0125664370089127 " " absolute error = 2.121351982964370000000000E-10 " " relative error = 2.0950249830384900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158799999999997 " " y[1] (analytic) = 1.012582245625878 " " y[1] (numeric) = 1.0125822454118971 " " absolute error = 2.13980833052573870000000000E-10 " " relative error = 2.11321928640287500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.158899999999997 " " y[1] (analytic) = 1.012598063904885 " " y[1] (numeric) = 1.0125980636890461 " " absolute error = 2.15838902306586530000000000E-10 " " relative error = 2.131535798856323300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15899999999999698 " " y[1] (analytic) = 1.012613892057912 " " y[1] (numeric) = 1.0126138918402015 " " absolute error = 2.17710516281499620000000000E-10 " " relative error = 2.14998547806856120000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15909999999999697 " " y[1] (analytic) = 1.0126297300847997 " " y[1] (numeric) = 1.012629729865205 " " absolute error = 2.19594786798893440000000000E-10 " " relative error = 2.16855954624701900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15919999999999696 " " y[1] (analytic) = 1.0126455779853902 " " y[1] (numeric) = 1.0126455777638979 " " absolute error = 2.21492379992582760000000000E-10 " " relative error = 2.18726457516588600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15929999999999694 " " y[1] (analytic) = 1.012661435759525 " " y[1] (numeric) = 1.0126614355361219 " " absolute error = 2.23403073817962650000000000E-10 " " relative error = 2.206098365446334800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15939999999999693 " " y[1] (analytic) = 1.0126773034070453 " " y[1] (numeric) = 1.0126773031817182 " " absolute error = 2.25327090319638050000000000E-10 " " relative error = 2.225063103138077400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15949999999999692 " " y[1] (analytic) = 1.0126931809277924 " " y[1] (numeric) = 1.0126931807005282 " " absolute error = 2.27264207453004020000000000E-10 " " relative error = 2.244156588916624300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1595999999999969 " " y[1] (analytic) = 1.012709068321608 " " y[1] (numeric) = 1.012709068092393 " " absolute error = 2.29215091351875340000000000E-10 " " relative error = 2.263385393909428700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1596999999999969 " " y[1] (analytic) = 1.0127249655883326 " " y[1] (numeric) = 1.0127249653571535 " " absolute error = 2.31179075882437250000000000E-10 " " relative error = 2.282742933547965100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1597999999999969 " " y[1] (analytic) = 1.0127408727278078 " " y[1] (numeric) = 1.0127408724946507 " " absolute error = 2.3315704922310942000000000E-10 " " relative error = 2.302237971250268300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15989999999999688 " " y[1] (analytic) = 1.012756789739874 " " y[1] (numeric) = 1.0127567895047256 " " absolute error = 2.3514834524007710000000000E-10 " " relative error = 2.321863922536375500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.15999999999999687 " " y[1] (analytic) = 1.0127727166243725 " " y[1] (numeric) = 1.0127727163872189 " " absolute error = 2.37153630067155060000000000E-10 " " relative error = 2.341627357988090600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16009999999999686 " " y[1] (analytic) = 1.0127886533811439 " " y[1] (numeric) = 1.0127886531419712 " " absolute error = 2.39172681659738370000000000E-10 " " relative error = 2.36152607813360100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16019999999999684 " " y[1] (analytic) = 1.0128046000100286 " " y[1] (numeric) = 1.0128045997688233 " " absolute error = 2.4120527797322210000000000E-10 " " relative error = 2.381557883631588400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16029999999999683 " " y[1] (analytic) = 1.0128205565108672 " " y[1] (numeric) = 1.0128205562676154 " " absolute error = 2.4325186309681612000000000E-10 " " relative error = 2.401727152288561400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16039999999999682 " " y[1] (analytic) = 1.0128365228835006 " " y[1] (numeric) = 1.012836522638188 " " absolute error = 2.45312659075125340000000000E-10 " " relative error = 2.422036069322728600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1604999999999968 " " y[1] (analytic) = 1.0128524991277685 " " y[1] (numeric) = 1.012852498880381 " " absolute error = 2.47387443863544830000000000E-10 " " relative error = 2.442482435266594400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1605999999999968 " " y[1] (analytic) = 1.0128684852435113 " " y[1] (numeric) = 1.0128684849940353 " " absolute error = 2.4947599541746968000000000E-10 " " relative error = 2.46306405078336800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1606999999999968 " " y[1] (analytic) = 1.0128844812305693 " " y[1] (numeric) = 1.0128844809789903 " " absolute error = 2.51578979870714650000000000E-10 " " relative error = 2.483787485469886600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16079999999999678 " " y[1] (analytic) = 1.0129004870887828 " " y[1] (numeric) = 1.0129004868350862 " " absolute error = 2.53696619267884670000000000E-10 " " relative error = 2.504654924167764000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16089999999999677 " " y[1] (analytic) = 1.012916502817991 " " y[1] (numeric) = 1.012916502562163 " " absolute error = 2.55828025430560050000000000E-10 " " relative error = 2.525657590915263400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16099999999999676 " " y[1] (analytic) = 1.0129325284180344 " " y[1] (numeric) = 1.01293252816006 " " absolute error = 2.5797430858176540000000000E-10 " " relative error = 2.546806439167882400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16109999999999675 " " y[1] (analytic) = 1.0129485638887523 " " y[1] (numeric) = 1.0129485636286175 " " absolute error = 2.60134802587685950000000000E-10 " " relative error = 2.568094885183680500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16119999999999673 " " y[1] (analytic) = 1.0129646092299849 " " y[1] (numeric) = 1.0129646089676747 " " absolute error = 2.6231017358213650000000000E-10 " " relative error = 2.5895294977929600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16129999999999672 " " y[1] (analytic) = 1.0129806644415709 " " y[1] (numeric) = 1.012980664177071 " " absolute error = 2.6449975543130220000000000E-10 " " relative error = 2.6111036934462500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1613999999999967 " " y[1] (analytic) = 1.0129967295233506 " " y[1] (numeric) = 1.0129967292566462 " " absolute error = 2.66704436313602860000000000E-10 " " relative error = 2.632826232707546300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1614999999999967 " " y[1] (analytic) = 1.013012804475163 " " y[1] (numeric) = 1.0130128042062392 " " absolute error = 2.68923772139828540000000000E-10 " " relative error = 2.654692724038732000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1615999999999967 " " y[1] (analytic) = 1.013028889296847 " " y[1] (numeric) = 1.0130288890256893 " " absolute error = 2.7115776290997930000000000E-10 " " relative error = 2.676703159948305400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16169999999999668 " " y[1] (analytic) = 1.0130449839882427 " " y[1] (numeric) = 1.0130449837148356 " " absolute error = 2.73407074757869850000000000E-10 " " relative error = 2.698864108496913400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16179999999999667 " " y[1] (analytic) = 1.0130610885491882 " " y[1] (numeric) = 1.013061088273517 " " absolute error = 2.7567126359429040000000000E-10 " " relative error = 2.721171178226587400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16189999999999666 " " y[1] (analytic) = 1.0130772029795228 " " y[1] (numeric) = 1.0130772027015722 " " absolute error = 2.77950551463845840000000000E-10 " " relative error = 2.743626553300933500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16199999999999665 " " y[1] (analytic) = 1.0130933272790854 " " y[1] (numeric) = 1.0130933269988402 " " absolute error = 2.8024516041114110000000000E-10 " " relative error = 2.766232417735978000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16209999999999664 " " y[1] (analytic) = 1.0131094614477147 " " y[1] (numeric) = 1.0131094611651599 " " absolute error = 2.8255486839157130000000000E-10 " " relative error = 2.788986571972248400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16219999999999662 " " y[1] (analytic) = 1.0131256054852493 " " y[1] (numeric) = 1.0131256052003694 " " absolute error = 2.8487989744974130000000000E-10 " " relative error = 2.81189119993956200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1622999999999966 " " y[1] (analytic) = 1.013141759391528 " " y[1] (numeric) = 1.0131417591043075 " " absolute error = 2.87220469630256050000000000E-10 " " relative error = 2.83494848541979700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1623999999999966 " " y[1] (analytic) = 1.013157923166389 " " y[1] (numeric) = 1.0131579228768126 " " absolute error = 2.89576362888510630000000000E-10 " " relative error = 2.85815622882864300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1624999999999966 " " y[1] (analytic) = 1.0131740968096707 " " y[1] (numeric) = 1.013174096517723 " " absolute error = 2.91947799269109960000000000E-10 " " relative error = 2.881516613861414600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16259999999999658 " " y[1] (analytic) = 1.0131902803212116 " " y[1] (numeric) = 1.0131902800268766 " " absolute error = 2.943350008166590000000000E-10 " " relative error = 2.9050318240651300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16269999999999657 " " y[1] (analytic) = 1.0132064737008495 " " y[1] (numeric) = 1.0132064734041117 " " absolute error = 2.96737745486552740000000000E-10 " " relative error = 2.928699659830291700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16279999999999656 " " y[1] (analytic) = 1.013222676948423 " " y[1] (numeric) = 1.0132226766492662 " " absolute error = 2.99156699412606030000000000E-10 " " relative error = 2.95252668755492400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16289999999999655 " " y[1] (analytic) = 1.0132388900637692 " " y[1] (numeric) = 1.013238889762178 " " absolute error = 3.01591196461004100000000000E-10 " " relative error = 2.976506324604488000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16299999999999654 " " y[1] (analytic) = 1.0132551130467269 " " y[1] (numeric) = 1.013255112742685 " " absolute error = 3.04041902765561640000000000E-10 " " relative error = 3.00064513714958740000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16309999999999653 " " y[1] (analytic) = 1.0132713458971332 " " y[1] (numeric) = 1.0132713455906248 " " absolute error = 3.0650837423706890000000000E-10 " " relative error = 3.024938734112643000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16319999999999651 " " y[1] (analytic) = 1.0132875886148263 " " y[1] (numeric) = 1.013287588305835 " " absolute error = 3.0899127700934060000000000E-10 " " relative error = 3.04939368133122600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1632999999999965 " " y[1] (analytic) = 1.0133038411996433 " " y[1] (numeric) = 1.0133038408881532 " " absolute error = 3.1149016699316690000000000E-10 " " relative error = 3.07400558774548700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1633999999999965 " " y[1] (analytic) = 1.0133201036514219 " " y[1] (numeric) = 1.0133201033374166 " " absolute error = 3.1400526623315270000000000E-10 " " relative error = 3.098776636342836500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16349999999999648 " " y[1] (analytic) = 1.0133363759699996 " " y[1] (numeric) = 1.0133363756534626 " " absolute error = 3.16537018818507930000000000E-10 " " relative error = 3.123711201184385400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16359999999999647 " " y[1] (analytic) = 1.0133526581552135 " " y[1] (numeric) = 1.0133526578361283 " " absolute error = 3.1908520270462760000000000E-10 " " relative error = 3.148807082477242400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16369999999999646 " " y[1] (analytic) = 1.0133689502069005 " " y[1] (numeric) = 1.013368949885251 " " absolute error = 3.2164959584690680000000000E-10 " " relative error = 3.17406208056044360000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16379999999999645 " " y[1] (analytic) = 1.0133852521248983 " " y[1] (numeric) = 1.0133852518006674 " " absolute error = 3.24230864379160270000000000E-10 " " relative error = 3.199482760374721700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16389999999999644 " " y[1] (analytic) = 1.0134015639090437 " " y[1] (numeric) = 1.0134015635822147 " " absolute error = 3.26829008301388060000000000E-10 " " relative error = 3.22506911318248270000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16399999999999643 " " y[1] (analytic) = 1.0134178855591731 " " y[1] (numeric) = 1.0134178852297295 " " absolute error = 3.2944358352438030000000000E-10 " " relative error = 3.25081674814337200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16409999999999642 " " y[1] (analytic) = 1.0134342170751238 " " y[1] (numeric) = 1.0134342167430488 " " absolute error = 3.32075034137346850000000000E-10 " " relative error = 3.276730038736503400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1641999999999964 " " y[1] (analytic) = 1.0134505584567324 " " y[1] (numeric) = 1.0134505581220088 " " absolute error = 3.3472358218489260000000000E-10 " " relative error = 3.30281116717331300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1642999999999964 " " y[1] (analytic) = 1.0134669097038354 " " y[1] (numeric) = 1.0134669093664463 " " absolute error = 3.3738900562241270000000000E-10 " " relative error = 3.32905793363305400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16439999999999638 " " y[1] (analytic) = 1.013483270816269 " " y[1] (numeric) = 1.0134832704761976 " " absolute error = 3.400715264945120000000000E-10 " " relative error = 3.35547252023819900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16449999999999637 " " y[1] (analytic) = 1.0134996417938702 " " y[1] (numeric) = 1.0134996414510988 " " absolute error = 3.42771366845795460000000000E-10 " " relative error = 3.382057108960574400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16459999999999636 " " y[1] (analytic) = 1.013516022636475 " " y[1] (numeric) = 1.0135160222909865 " " absolute error = 3.45488526676263060000000000E-10 " " relative error = 3.4088116907864800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16469999999999635 " " y[1] (analytic) = 1.0135324133439192 " " y[1] (numeric) = 1.0135324129956966 " " absolute error = 3.48222561896705000000000000E-10 " " relative error = 3.43573187509439400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16479999999999634 " " y[1] (analytic) = 1.0135488139160396 " " y[1] (numeric) = 1.0135488135650652 " " absolute error = 3.5097436068554090000000000E-10 " " relative error = 3.462826416119854600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16489999999999633 " " y[1] (analytic) = 1.0135652243526718 " " y[1] (numeric) = 1.013565223998928 " " absolute error = 3.5374392304277080000000000E-10 " " relative error = 3.490095304608487600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16499999999999632 " " y[1] (analytic) = 1.0135816446536516 " " y[1] (numeric) = 1.0135816442971208 " " absolute error = 3.56530804879184870000000000E-10 " " relative error = 3.517534149910677700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1650999999999963 " " y[1] (analytic) = 1.0135980748188151 " " y[1] (numeric) = 1.0135980744594797 " " absolute error = 3.59335450283992940000000000E-10 " " relative error = 3.54514732428063860000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1651999999999963 " " y[1] (analytic) = 1.0136145148479978 " " y[1] (numeric) = 1.01361451448584 " " absolute error = 3.621578592571950000000000E-10 " " relative error = 3.572934818435432600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16529999999999628 " " y[1] (analytic) = 1.0136309647410353 " " y[1] (numeric) = 1.0136309643760373 " " absolute error = 3.6499803179879110000000000E-10 " " relative error = 3.600896623082559500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16539999999999627 " " y[1] (analytic) = 1.0136474244977633 " " y[1] (numeric) = 1.013647424129907 " " absolute error = 3.678564119979910000000000E-10 " " relative error = 3.62903711002131260000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16549999999999626 " " y[1] (analytic) = 1.0136638941180167 " " y[1] (numeric) = 1.0136638937472842 " " absolute error = 3.70732555765584950000000000E-10 " " relative error = 3.65735188869637400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16559999999999625 " " y[1] (analytic) = 1.0136803736016315 " " y[1] (numeric) = 1.0136803732280044 " " absolute error = 3.73627129235387660000000000E-10 " " relative error = 3.68584752122487300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16569999999999624 " " y[1] (analytic) = 1.0136968629484424 " " y[1] (numeric) = 1.0136968625719027 " " absolute error = 3.7653968831818930000000000E-10 " " relative error = 3.71451961706761700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16579999999999623 " " y[1] (analytic) = 1.0137133621582848 " " y[1] (numeric) = 1.013713361778814 " " absolute error = 3.7947067710319970000000000E-10 " " relative error = 3.74337254759346700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16589999999999622 " " y[1] (analytic) = 1.0137298712309935 " " y[1] (numeric) = 1.0137298708485734 " " absolute error = 3.8242009559041890000000000E-10 " " relative error = 3.77240630313120940000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1659999999999962 " " y[1] (analytic) = 1.0137463901664034 " " y[1] (numeric) = 1.0137463897810155 " " absolute error = 3.85387943779846860000000000E-10 " " relative error = 3.801620873999725000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1660999999999962 " " y[1] (analytic) = 1.0137629189643493 " " y[1] (numeric) = 1.0137629185759751 " " absolute error = 3.8837422167148360000000000E-10 " " relative error = 3.83101625050798900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16619999999999618 " " y[1] (analytic) = 1.0137794576246661 " " y[1] (numeric) = 1.013779457233287 " " absolute error = 3.91379151309934060000000000E-10 " " relative error = 3.86059461322045500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16629999999999617 " " y[1] (analytic) = 1.0137960061471885 " " y[1] (numeric) = 1.0137960057527855 " " absolute error = 3.94402954739803140000000000E-10 " " relative error = 3.89035814254866500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16639999999999616 " " y[1] (analytic) = 1.0138125645317506 " " y[1] (numeric) = 1.013812564134305 " " absolute error = 3.97445631961090840000000000E-10 " " relative error = 3.920306828557199600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16649999999999615 " " y[1] (analytic) = 1.0138291327781872 " " y[1] (numeric) = 1.01382913237768 " " absolute error = 4.00507182973797170000000000E-10 " " relative error = 3.950440661300497000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16659999999999614 " " y[1] (analytic) = 1.0138457108863324 " " y[1] (numeric) = 1.0138457104827447 " " absolute error = 4.03587607777922130000000000E-10 " " relative error = 3.98075963082286500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16669999999999613 " " y[1] (analytic) = 1.0138622988560204 " " y[1] (numeric) = 1.0138622984493333 " " absolute error = 4.06687128418070640000000000E-10 " " relative error = 4.01126591724488900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16679999999999612 " " y[1] (analytic) = 1.0138788966870855 " " y[1] (numeric) = 1.0138788962772796 " " absolute error = 4.09805966938847630000000000E-10 " " relative error = 4.041961700533614000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1668999999999961 " " y[1] (analytic) = 1.0138955043793616 " " y[1] (numeric) = 1.0138955039664175 " " absolute error = 4.1294412334025310000000000E-10 " " relative error = 4.0728469704876500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1669999999999961 " " y[1] (analytic) = 1.0139121219326825 " " y[1] (numeric) = 1.013912121516581 " " absolute error = 4.16101597622287040000000000E-10 " " relative error = 4.1039217168952400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16709999999999608 " " y[1] (analytic) = 1.0139287493468825 " " y[1] (numeric) = 1.0139287489276039 " " absolute error = 4.1927861182955440000000000E-10 " " relative error = 4.135188119477140600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16719999999999607 " " y[1] (analytic) = 1.0139453866217947 " " y[1] (numeric) = 1.0139453861993197 " " absolute error = 4.2247494391745020000000000E-10 " " relative error = 4.16664397798611300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16729999999999606 " " y[1] (analytic) = 1.0139620337572532 " " y[1] (numeric) = 1.013962033331562 " " absolute error = 4.2569126001978930000000000E-10 " " relative error = 4.19829585179223360000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16739999999999605 " " y[1] (analytic) = 1.0139786907530914 " " y[1] (numeric) = 1.013978690324164 " " absolute error = 4.2892733809196670000000000E-10 " " relative error = 4.230141540483443600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16749999999999604 " " y[1] (analytic) = 1.0139953576091425 " " y[1] (numeric) = 1.0139953571769595 " " absolute error = 4.3218295608937750000000000E-10 " " relative error = 4.262178843780939400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16759999999999603 " " y[1] (analytic) = 1.0140120343252401 " " y[1] (numeric) = 1.0140120338897816 " " absolute error = 4.3545855810123160000000000E-10 " " relative error = 4.294412130828420500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16769999999999602 " " y[1] (analytic) = 1.0140287209012173 " " y[1] (numeric) = 1.0140287204624632 " " absolute error = 4.3875414412752890000000000E-10 " " relative error = 4.32684139101687800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.167799999999996 " " y[1] (analytic) = 1.0140454173369073 " " y[1] (numeric) = 1.0140454168948374 " " absolute error = 4.4206993621287440000000000E-10 " " relative error = 4.359468803417516600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.167899999999996 " " y[1] (analytic) = 1.0140621236321432 " " y[1] (numeric) = 1.0140621231867373 " " absolute error = 4.45405934357268050000000000E-10 " " relative error = 4.3922943572916800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16799999999999599 " " y[1] (analytic) = 1.014078839786758 " " y[1] (numeric) = 1.0140788393379956 " " absolute error = 4.4876236060531480000000000E-10 " " relative error = 4.425320231508639300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16809999999999597 " " y[1] (analytic) = 1.014095565800584 " " y[1] (numeric) = 1.0140955653484451 " " absolute error = 4.52138770867804850000000000E-10 " " relative error = 4.45854203603445600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16819999999999596 " " y[1] (analytic) = 1.0141123016734546 " " y[1] (numeric) = 1.0141123012179185 " " absolute error = 4.55536053323157830000000000E-10 " " relative error = 4.491968518392364700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16829999999999595 " " y[1] (analytic) = 1.014129047405202 " " y[1] (numeric) = 1.0141290469462483 " " absolute error = 4.5895376388216390000000000E-10 " " relative error = 4.52559528845430900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16839999999999594 " " y[1] (analytic) = 1.014145802995659 " " y[1] (numeric) = 1.0141458025332668 " " absolute error = 4.623921245894280000000000E-10 " " relative error = 4.559424524792982700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16849999999999593 " " y[1] (analytic) = 1.014162568444658 " " y[1] (numeric) = 1.0141625679788067 " " absolute error = 4.6585135748955510000000000E-10 " " relative error = 4.59345840582535900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16859999999999592 " " y[1] (analytic) = 1.0141793437520312 " " y[1] (numeric) = 1.0141793432827 " " absolute error = 4.6933124053794020000000000E-10 " " relative error = 4.62769473100896200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1686999999999959 " " y[1] (analytic) = 1.0141961289176114 " " y[1] (numeric) = 1.014196128444779 " " absolute error = 4.7283243986839807000000000E-10 " " relative error = 4.662140057397210000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1687999999999959 " " y[1] (analytic) = 1.0142129239412299 " " y[1] (numeric) = 1.0142129234648753 " " absolute error = 4.7635451139171890000000000E-10 " " relative error = 4.69678999495102060000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1688999999999959 " " y[1] (analytic) = 1.014229728822719 " " y[1] (numeric) = 1.0142297283428214 " " absolute error = 4.7989745510790270000000000E-10 " " relative error = 4.73164453249610700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16899999999999588 " " y[1] (analytic) = 1.014246543561911 " " y[1] (numeric) = 1.014246543078449 " " absolute error = 4.8346193715076424000000000E-10 " " relative error = 4.76671022661713460000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16909999999999586 " " y[1] (analytic) = 1.0142633681586375 " " y[1] (numeric) = 1.0142633676715898 " " absolute error = 4.8704773547569860000000000E-10 " " relative error = 4.801984876570254400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16919999999999585 " " y[1] (analytic) = 1.0142802026127304 " " y[1] (numeric) = 1.0142802021220754 " " absolute error = 4.9065507212731063000000000E-10 " " relative error = 4.83747066011354600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16929999999999584 " " y[1] (analytic) = 1.0142970469240213 " " y[1] (numeric) = 1.0142970464297374 " " absolute error = 4.9428394710560040000000000E-10 " " relative error = 4.873167565700564600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16939999999999583 " " y[1] (analytic) = 1.0143139010923417 " " y[1] (numeric) = 1.0143139005944073 " " absolute error = 4.9793436041056793000000000E-10 " " relative error = 4.90907558177334600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16949999999999582 " " y[1] (analytic) = 1.014330765117523 " " y[1] (numeric) = 1.0143307646159165 " " absolute error = 5.0160653408681810000000000E-10 " " relative error = 4.945196885837339600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1695999999999958 " " y[1] (analytic) = 1.0143476389993968 " " y[1] (numeric) = 1.0143476384940961 " " absolute error = 5.0530069017895580000000000E-10 " " relative error = 4.981533655240817400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1696999999999958 " " y[1] (analytic) = 1.014364522737794 " " y[1] (numeric) = 1.0143645222287774 " " absolute error = 5.0901660664237620000000000E-10 " " relative error = 5.01808368917051900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1697999999999958 " " y[1] (analytic) = 1.014381416332546 " " y[1] (numeric) = 1.0143814158197915 " " absolute error = 5.1275450552168420000000000E-10 " " relative error = 5.05484916487850200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16989999999999578 " " y[1] (analytic) = 1.014398319783484 " " y[1] (numeric) = 1.0143983192669692 " " absolute error = 5.1651483090608960000000000E-10 " " relative error = 5.091834448388439000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.16999999999999577 " " y[1] (analytic) = 1.0144152330904386 " " y[1] (numeric) = 1.0144152325701414 " " absolute error = 5.2029713870638260000000000E-10 " " relative error = 5.1290351498496900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17009999999999575 " " y[1] (analytic) = 1.0144321562532408 " " y[1] (numeric) = 1.0144321557291391 " " absolute error = 5.2410165096716810000000000E-10 " " relative error = 5.1664534462601600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17019999999999574 " " y[1] (analytic) = 1.0144490892717215 " " y[1] (numeric) = 1.0144490887437927 " " absolute error = 5.2792881177765590000000000E-10 " " relative error = 5.204093703279471000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17029999999999573 " " y[1] (analytic) = 1.0144660321457115 " " y[1] (numeric) = 1.014466031613933 " " absolute error = 5.3177862113784610000000000E-10 " " relative error = 5.2419559086968500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17039999999999572 " " y[1] (analytic) = 1.0144829848750412 " " y[1] (numeric) = 1.01448298433939 " " absolute error = 5.3565107904773870000000000E-10 " " relative error = 5.28004005028943300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1704999999999957 " " y[1] (analytic) = 1.0144999474595409 " " y[1] (numeric) = 1.0144999469199947 " " absolute error = 5.3954618550733360000000000E-10 " " relative error = 5.318346115822260000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1705999999999957 " " y[1] (analytic) = 1.014516919899041 " " y[1] (numeric) = 1.014516919355577 " " absolute error = 5.4346394051663080000000000E-10 " " relative error = 5.35687409304827900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1706999999999957 " " y[1] (analytic) = 1.014533902193372 " " y[1] (numeric) = 1.0145339016459671 " " absolute error = 5.4740478816484030000000000E-10 " " relative error = 5.395628346981588000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17079999999999568 " " y[1] (analytic) = 1.014550894342364 " " y[1] (numeric) = 1.0145508937909953 " " absolute error = 5.5136872845196190000000000E-10 " " relative error = 5.43460886513102300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17089999999999567 " " y[1] (analytic) = 1.0145678963458469 " " y[1] (numeric) = 1.0145678957904911 " " absolute error = 5.5535576137799580000000000E-10 " " relative error = 5.47381563499310200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17099999999999566 " " y[1] (analytic) = 1.0145849082036509 " " y[1] (numeric) = 1.0145849076442848 " " absolute error = 5.5936610898754680000000000E-10 " " relative error = 5.513250832578608000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17109999999999564 " " y[1] (analytic) = 1.0146019299156057 " " y[1] (numeric) = 1.014601929352206 " " absolute error = 5.6339977128061490000000000E-10 " " relative error = 5.55291444524926500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17119999999999563 " " y[1] (analytic) = 1.0146189614815415 " " y[1] (numeric) = 1.0146189609140845 " " absolute error = 5.6745697030180510000000000E-10 " " relative error = 5.59280864880750200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17129999999999562 " " y[1] (analytic) = 1.0146360029012875 " " y[1] (numeric) = 1.0146360023297498 " " absolute error = 5.7153770605111730000000000E-10 " " relative error = 5.6329334304799100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1713999999999956 " " y[1] (analytic) = 1.0146530541746734 " " y[1] (numeric) = 1.0146530535990315 " " absolute error = 5.7564197852855160000000000E-10 " " relative error = 5.673288777480526000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1714999999999956 " " y[1] (analytic) = 1.014670115301529 " " y[1] (numeric) = 1.0146701147217587 " " absolute error = 5.7977023182331780000000000E-10 " " relative error = 5.7138790536964600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1715999999999956 " " y[1] (analytic) = 1.014687186281683 " " y[1] (numeric) = 1.0146871856977608 " " absolute error = 5.8392224389081090000000000E-10 " " relative error = 5.754702057789767000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17169999999999558 " " y[1] (analytic) = 1.0147042671149655 " " y[1] (numeric) = 1.0147042665268673 " " absolute error = 5.880982367756360000000000E-10 " " relative error = 5.795759965095374000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17179999999999557 " " y[1] (analytic) = 1.0147213578012053 " " y[1] (numeric) = 1.0147213572089069 " " absolute error = 5.9229843252239790000000000E-10 " " relative error = 5.8370549507881300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17189999999999556 " " y[1] (analytic) = 1.0147384583402315 " " y[1] (numeric) = 1.0147384577437086 " " absolute error = 5.9652283113109660000000000E-10 " " relative error = 5.87858700168717300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17199999999999555 " " y[1] (analytic) = 1.0147555687318728 " " y[1] (numeric) = 1.0147555681311016 " " absolute error = 6.0077121055712720000000000E-10 " " relative error = 5.920353916440226000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17209999999999553 " " y[1] (analytic) = 1.0147726889759587 " " y[1] (numeric) = 1.0147726883709143 " " absolute error = 6.0504445897890950000000000E-10 " " relative error = 5.96236443443782600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17219999999999552 " " y[1] (analytic) = 1.0147898190723177 " " y[1] (numeric) = 1.0147898184629758 " " absolute error = 6.0934191026262850000000000E-10 " " relative error = 6.00461197787405600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1722999999999955 " " y[1] (analytic) = 1.0148069590207784 " " y[1] (numeric) = 1.0148069584071144 " " absolute error = 6.1366400849749430000000000E-10 " " relative error = 6.04710090961180900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1723999999999955 " " y[1] (analytic) = 1.0148241088211694 " " y[1] (numeric) = 1.0148241082031586 " " absolute error = 6.1801075368350670000000000E-10 " " relative error = 6.08983121618380300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1724999999999955 " " y[1] (analytic) = 1.0148412684733197 " " y[1] (numeric) = 1.0148412678509369 " " absolute error = 6.2238281195448050000000000E-10 " " relative error = 6.13280944803086700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17259999999999548 " " y[1] (analytic) = 1.0148584379770569 " " y[1] (numeric) = 1.0148584373502776 " " absolute error = 6.2677929513199620000000000E-10 " " relative error = 6.17602683957943200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17269999999999547 " " y[1] (analytic) = 1.0148756173322098 " " y[1] (numeric) = 1.014875616701009 " " absolute error = 6.3120086934986830000000000E-10 " " relative error = 6.21948994113286200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17279999999999546 " " y[1] (analytic) = 1.0148928065386067 " " y[1] (numeric) = 1.0148928059029587 " " absolute error = 6.3564797869730680000000000E-10 " " relative error = 6.26320311467422600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17289999999999545 " " y[1] (analytic) = 1.0149100055960754 " " y[1] (numeric) = 1.0149100049559552 " " absolute error = 6.4012017908510190000000000E-10 " " relative error = 6.307161970574401000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17299999999999544 " " y[1] (analytic) = 1.0149272145044441 " " y[1] (numeric) = 1.0149272138598262 " " absolute error = 6.4461791460246330000000000E-10 " " relative error = 6.35137087064129300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17309999999999542 " " y[1] (analytic) = 1.0149444332635404 " " y[1] (numeric) = 1.0149444326143997 " " absolute error = 6.4914074116018130000000000E-10 " " relative error = 6.39582542536715800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1731999999999954 " " y[1] (analytic) = 1.0149616618731927 " " y[1] (numeric) = 1.0149616612195032 " " absolute error = 6.5368954693667550000000000E-10 " " relative error = 6.44053437181301300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1732999999999954 " " y[1] (analytic) = 1.0149789003332281 " " y[1] (numeric) = 1.0149788996749642 " " absolute error = 6.582638878427360000000000E-10 " " relative error = 6.48549332036972500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1733999999999954 " " y[1] (analytic) = 1.0149961486434746 " " y[1] (numeric) = 1.0149961479806104 " " absolute error = 6.6286420796757280000000000E-10 " " relative error = 6.53070663227126300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17349999999999538 " " y[1] (analytic) = 1.0150134068037597 " " y[1] (numeric) = 1.0150134061362692 " " absolute error = 6.6749050731118590000000000E-10 " " relative error = 6.57617429323509300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17359999999999537 " " y[1] (analytic) = 1.0150306748139106 " " y[1] (numeric) = 1.015030674141768 " " absolute error = 6.7214256382897020000000000E-10 " " relative error = 6.62189410139941400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17369999999999536 " " y[1] (analytic) = 1.0150479526737548 " " y[1] (numeric) = 1.015047951996934 " " absolute error = 6.7682082161013570000000000E-10 " " relative error = 6.66787041762224700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17379999999999535 " " y[1] (analytic) = 1.0150652403831195 " " y[1] (numeric) = 1.015065239701594 " " absolute error = 6.8152550269928720000000000E-10 " " relative error = 6.71410541495891200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17389999999999534 " " y[1] (analytic) = 1.0150825379418316 " " y[1] (numeric) = 1.0150825372555752 " " absolute error = 6.86256385051820000000000E-10 " " relative error = 6.76059689139431600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17399999999999533 " " y[1] (analytic) = 1.0150998453497184 " " y[1] (numeric) = 1.0150998446587045 " " absolute error = 6.9101391275694370000000000E-10 " " relative error = 6.80734920729771300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17409999999999531 " " y[1] (analytic) = 1.015117162606607 " " y[1] (numeric) = 1.0151171619108088 " " absolute error = 6.9579808581465840000000000E-10 " " relative error = 6.85436234796775200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1741999999999953 " " y[1] (analytic) = 1.0151344897123238 " " y[1] (numeric) = 1.0151344890117147 " " absolute error = 7.0060912626956910000000000E-10 " " relative error = 6.90163848603068200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1742999999999953 " " y[1] (analytic) = 1.0151518266666955 " " y[1] (numeric) = 1.0151518259612489 " " absolute error = 7.0544659003246580000000000E-10 " " relative error = 6.94917323203600800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17439999999999528 " " y[1] (analytic) = 1.0151691734695492 " " y[1] (numeric) = 1.0151691727592378 " " absolute error = 7.1031136528176830000000000E-10 " " relative error = 6.99697532042007700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17449999999999527 " " y[1] (analytic) = 1.0151865301207108 " " y[1] (numeric) = 1.0151865294055078 " " absolute error = 7.1520300792826670000000000E-10 " " relative error = 7.04504036162916200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17459999999999526 " " y[1] (analytic) = 1.0152038966200074 " " y[1] (numeric) = 1.0152038958998855 " " absolute error = 7.201219620611710000000000E-10 " " relative error = 7.09337271516318800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17469999999999525 " " y[1] (analytic) = 1.0152212729672652 " " y[1] (numeric) = 1.0152212722421967 " " absolute error = 7.2506844972508590000000000E-10 " " relative error = 7.14197455305356800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17479999999999524 " " y[1] (analytic) = 1.0152386591623097 " " y[1] (numeric) = 1.015238658432268 " " absolute error = 7.3004180478619670000000000E-10 " " relative error = 7.19083929869816400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17489999999999523 " " y[1] (analytic) = 1.015256055204968 " " y[1] (numeric) = 1.015256054469925 " " absolute error = 7.3504313746752810000000000E-10 " " relative error = 7.23997787256862700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17499999999999521 " " y[1] (analytic) = 1.0152734610950658 " " y[1] (numeric) = 1.0152734603549938 " " absolute error = 7.4007200367987020000000000E-10 " " relative error = 7.28938588507607200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1750999999999952 " " y[1] (analytic) = 1.0152908768324287 " " y[1] (numeric) = 1.0152908760873003 " " absolute error = 7.4512840342322310000000000E-10 " " relative error = 7.33906332092654800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1751999999999952 " " y[1] (analytic) = 1.015308302416883 " " y[1] (numeric) = 1.0153083016666702 " " absolute error = 7.5021278078679640000000000E-10 " " relative error = 7.38901453874609500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17529999999999518 " " y[1] (analytic) = 1.0153257378482543 " " y[1] (numeric) = 1.015325737092929 " " absolute error = 7.5532535781519530000000000E-10 " " relative error = 7.43924170991598100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17539999999999517 " " y[1] (analytic) = 1.015343183126368 " " y[1] (numeric) = 1.0153431823659023 " " absolute error = 7.6046569041920970000000000E-10 " " relative error = 7.48974044497586900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17549999999999516 " " y[1] (analytic) = 1.01536063825105 " " y[1] (numeric) = 1.0153606374854154 " " absolute error = 7.6563466677725960000000000E-10 " " relative error = 7.54051947587862800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17559999999999515 " " y[1] (analytic) = 1.0153781032221256 " " y[1] (numeric) = 1.0153781024512938 " " absolute error = 7.7083184280013480000000000E-10 " " relative error = 7.59157441305888100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17569999999999514 " " y[1] (analytic) = 1.0153955780394202 " " y[1] (numeric) = 1.0153955772633627 " " absolute error = 7.7605744053244050000000000E-10 " " relative error = 7.64290742757511000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17579999999999513 " " y[1] (analytic) = 1.015413062702759 " " y[1] (numeric) = 1.0154130619214472 " " absolute error = 7.8131190406338650000000000E-10 " " relative error = 7.69452287706189600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17589999999999512 " " y[1] (analytic) = 1.015430557211967 " " y[1] (numeric) = 1.0154305564253725 " " absolute error = 7.8659456725915790000000000E-10 " " relative error = 7.74641418531744500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1759999999999951 " " y[1] (analytic) = 1.0154480615668695 " " y[1] (numeric) = 1.0154480607749632 " " absolute error = 7.9190631829817450000000000E-10 " " relative error = 7.79859008324105900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1760999999999951 " " y[1] (analytic) = 1.0154655757672915 " " y[1] (numeric) = 1.0154655749700445 " " absolute error = 7.9724693513583130000000000E-10 " " relative error = 7.85104836797079100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17619999999999508 " " y[1] (analytic) = 1.0154830998130577 " " y[1] (numeric) = 1.0154830990104409 " " absolute error = 8.0261686186133830000000000E-10 " " relative error = 7.9037933965527700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17629999999999507 " " y[1] (analytic) = 1.015500633703993 " " y[1] (numeric) = 1.015500632895977 " " absolute error = 8.0801587643009040000000000E-10 " " relative error = 7.95682296605654400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17639999999999506 " " y[1] (analytic) = 1.0155181774399218 " " y[1] (numeric) = 1.0155181766264776 " " absolute error = 8.1344420088669270000000000E-10 " " relative error = 8.01013924671787800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17649999999999505 " " y[1] (analytic) = 1.0155357310206687 " " y[1] (numeric) = 1.015535730201767 " " absolute error = 8.189018352311450000000000E-10 " " relative error = 8.06374222212845300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17659999999999504 " " y[1] (analytic) = 1.0155532944460584 " " y[1] (numeric) = 1.0155532936216694 " " absolute error = 8.2438900150805240000000000E-10 " " relative error = 8.11763406230415400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17669999999999503 " " y[1] (analytic) = 1.0155708677159154 " " y[1] (numeric) = 1.015570866886009 " " absolute error = 8.2990636585122960000000000E-10 " " relative error = 8.17182130989777800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17679999999999502 " " y[1] (analytic) = 1.0155884508300632 " " y[1] (numeric) = 1.0155884499946104 " " absolute error = 8.3545281803765190000000000E-10 " " relative error = 8.22629301618010400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.176899999999995 " " y[1] (analytic) = 1.0156060437883268 " " y[1] (numeric) = 1.0156060429472973 " " absolute error = 8.4102946829034410000000000E-10 " " relative error = 8.28106009642486900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.176999999999995 " " y[1] (analytic) = 1.0156236465905302 " " y[1] (numeric) = 1.0156236457438936 " " absolute error = 8.466365386539110000000000E-10 " " relative error = 8.33612471997956600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17709999999999498 " " y[1] (analytic) = 1.0156412592364967 " " y[1] (numeric) = 1.0156412583842234 " " absolute error = 8.5227336299453780000000000E-10 " " relative error = 8.39148031102271300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17719999999999497 " " y[1] (analytic) = 1.0156588817260506 " " y[1] (numeric) = 1.0156588808681102 " " absolute error = 8.5794038540143450000000000E-10 " " relative error = 8.44713122523397700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17729999999999496 " " y[1] (analytic) = 1.0156765140590158 " " y[1] (numeric) = 1.0156765131953778 " " absolute error = 8.6363804996381080000000000E-10 " " relative error = 8.50308181797368100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17739999999999495 " " y[1] (analytic) = 1.015694156235216 " " y[1] (numeric) = 1.0156941553658496 " " absolute error = 8.6936635668166670000000000E-10 " " relative error = 8.55933207200945700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17749999999999494 " " y[1] (analytic) = 1.0157118082544745 " " y[1] (numeric) = 1.0157118073793492 " " absolute error = 8.7512530555500230000000000E-10 " " relative error = 8.61588197009274200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17759999999999493 " " y[1] (analytic) = 1.0157294701166149 " " y[1] (numeric) = 1.0157294692357 " " absolute error = 8.8091489658381760000000000E-10 " " relative error = 8.67273149495879700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17769999999999492 " " y[1] (analytic) = 1.0157471418214605 " " y[1] (numeric) = 1.0157471409347252 " " absolute error = 8.8673535181271750000000000E-10 " " relative error = 8.7298828153491400000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1777999999999949 " " y[1] (analytic) = 1.0157648233688348 " " y[1] (numeric) = 1.0157648224762479 " " absolute error = 8.9258689328630680000000000E-10 " " relative error = 8.78733809983690700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1778999999999949 " " y[1] (analytic) = 1.0157825147585609 " " y[1] (numeric) = 1.015782513860091 " " absolute error = 8.9846974304919060000000000E-10 " " relative error = 8.8450995168266490000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17799999999999488 " " y[1] (analytic) = 1.0158002159904618 " " y[1] (numeric) = 1.0158002150860779 " " absolute error = 9.0438390110136880000000000E-10 " " relative error = 8.90316704864592000000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17809999999999487 " " y[1] (analytic) = 1.0158179270643606 " " y[1] (numeric) = 1.015817926154031 " " absolute error = 9.1032958948744640000000000E-10 " " relative error = 8.96154286347586200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17819999999999486 " " y[1] (analytic) = 1.0158356479800799 " " y[1] (numeric) = 1.0158356470637733 " " absolute error = 9.1630658616281830000000000E-10 " " relative error = 9.02022475766460600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17829999999999485 " " y[1] (analytic) = 1.0158533787374429 " " y[1] (numeric) = 1.0158533778151275 " " absolute error = 9.2231533521669460000000000E-10 " " relative error = 9.07921708507774800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17839999999999484 " " y[1] (analytic) = 1.015871119336272 " " y[1] (numeric) = 1.015871118407916 " " absolute error = 9.2835583664907520000000000E-10 " " relative error = 9.13851982774768100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17849999999999483 " " y[1] (analytic) = 1.01588886977639 " " y[1] (numeric) = 1.0158888688419616 " " absolute error = 9.344283125045649000000000E-10 " " relative error = 9.19813515340752200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17859999999999482 " " y[1] (analytic) = 1.0159066300576192 " " y[1] (numeric) = 1.0159066291170864 " " absolute error = 9.4053276278316390000000000E-10 " " relative error = 9.25806304394154500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1786999999999948 " " y[1] (analytic) = 1.015924400179782 " " y[1] (numeric) = 1.0159243992331126 " " absolute error = 9.466694095294770000000000E-10 " " relative error = 9.3183056668581900000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1787999999999948 " " y[1] (analytic) = 1.015942180142701 " " y[1] (numeric) = 1.0159421791898624 " " absolute error = 9.528386968327140000000000E-10 " " relative error = 9.37886737509881300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17889999999999479 " " y[1] (analytic) = 1.015959969946198 " " y[1] (numeric) = 1.015959968987158 " " absolute error = 9.5904018060366520000000000E-10 " " relative error = 9.43974377902362600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17899999999999477 " " y[1] (analytic) = 1.0159777695900956 " " y[1] (numeric) = 1.0159777686248213 " " absolute error = 9.6527430493154040000000000E-10 " " relative error = 9.50093923138680700000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17909999999999476 " " y[1] (analytic) = 1.0159955790742152 " " y[1] (numeric) = 1.0159955781026742 " " absolute error = 9.7154106981633960000000000E-10 " " relative error = 9.56245371364329200000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17919999999999475 " " y[1] (analytic) = 1.0160133983983792 " " y[1] (numeric) = 1.0160133974205383 " " absolute error = 9.7784091934727260000000000E-10 " " relative error = 9.62429157812996500000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17929999999999474 " " y[1] (analytic) = 1.0160312275624088 " " y[1] (numeric) = 1.0160312265782356 " " absolute error = 9.8417318739052460000000000E-10 " " relative error = 9.68644624980360300000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17939999999999473 " " y[1] (analytic) = 1.0160490665661266 " " y[1] (numeric) = 1.0160490655755874 " " absolute error = 9.9053920621372530000000000E-10 " " relative error = 9.74893082241967600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17949999999999472 " " y[1] (analytic) = 1.0160669154093536 " " y[1] (numeric) = 1.0160669144124153 " " absolute error = 9.9693830968305970000000000E-10 " " relative error = 9.81173872078506600000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1795999999999947 " " y[1] (analytic) = 1.0160847740919112 " " y[1] (numeric) = 1.0160847730885407 " " absolute error = 1.003370497798528000000000E-9 " " relative error = 9.87486992603795100000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1796999999999947 " " y[1] (analytic) = 1.0161026426136215 " " y[1] (numeric) = 1.0161026416037848 " " absolute error = 1.0098366587385499000000000E-9 " " relative error = 9.93833316032960800000000E-8 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1797999999999947 " " y[1] (analytic) = 1.016120520974305 " " y[1] (numeric) = 1.0161205199579688 " " absolute error = 1.0163361263693105000000000E-9 " " relative error = 1.00021218486444780000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17989999999999468 " " y[1] (analytic) = 1.0161384091737835 " " y[1] (numeric) = 1.016138408150914 " " absolute error = 1.0228695668246246000000000E-9 " " relative error = 1.00662425274949910000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.17999999999999466 " " y[1] (analytic) = 1.0161563072118778 " " y[1] (numeric) = 1.016156306182441 " " absolute error = 1.0294367580598873000000000E-9 " " relative error = 1.01306929923453250000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18009999999999465 " " y[1] (analytic) = 1.0161742150884088 " " y[1] (numeric) = 1.0161742140523708 " " absolute error = 1.0360379221197036000000000E-9 " " relative error = 1.01954754090032350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18019999999999464 " " y[1] (analytic) = 1.016192132803198 " " y[1] (numeric) = 1.0161921317605245 " " absolute error = 1.0426735030932832000000000E-9 " " relative error = 1.02605941281697930000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18029999999999463 " " y[1] (analytic) = 1.0162100603560655 " " y[1] (numeric) = 1.0162100593067225 " " absolute error = 1.0493430568914164000000000E-9 " " relative error = 1.03260447601132940000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18039999999999462 " " y[1] (analytic) = 1.0162279977468327 " " y[1] (numeric) = 1.0162279966907852 " " absolute error = 1.0560474716925228000000000E-9 " " relative error = 1.03918360253208650000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1804999999999946 " " y[1] (analytic) = 1.0162459449753198 " " y[1] (numeric) = 1.0162459439125335 " " absolute error = 1.0627863034073926000000000E-9 " " relative error = 1.04579635339475120000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1805999999999946 " " y[1] (analytic) = 1.0162639020413473 " " y[1] (numeric) = 1.0162639009717875 " " absolute error = 1.0695597740806306000000000E-9 " " relative error = 1.05244294511713840000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1806999999999946 " " y[1] (analytic) = 1.016281868944736 " " y[1] (numeric) = 1.0162818678683678 " " absolute error = 1.076368105756842000000000E-9 " " relative error = 1.0591235941998030000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18079999999999458 " " y[1] (analytic) = 1.0162998456853058 " " y[1] (numeric) = 1.0162998446020943 " " absolute error = 1.0832115204806314000000000E-9 " " relative error = 1.0658385171260220000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18089999999999457 " " y[1] (analytic) = 1.0163178322628774 " " y[1] (numeric) = 1.0163178311727872 " " absolute error = 1.090090240296604000000000E-9 " " relative error = 1.07258793036177370000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18099999999999455 " " y[1] (analytic) = 1.0163358286772706 " " y[1] (numeric) = 1.0163358275802665 " " absolute error = 1.0970040431601547000000000E-9 " " relative error = 1.07937161340447010000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18109999999999454 " " y[1] (analytic) = 1.0163538349283054 " " y[1] (numeric) = 1.016353833824352 " " absolute error = 1.1039533731604934000000000E-9 " " relative error = 1.0861900011804129000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18119999999999453 " " y[1] (analytic) = 1.0163718510158017 " " y[1] (numeric) = 1.0163718499048637 " " absolute error = 1.1109380082530151000000000E-9 " " relative error = 1.09304287317943750000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18129999999999452 " " y[1] (analytic) = 1.0163898769395798 " " y[1] (numeric) = 1.0163898758216212 " " absolute error = 1.1179586145715348000000000E-9 " " relative error = 1.0999308827610380000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1813999999999945 " " y[1] (analytic) = 1.0164079126994592 " " y[1] (numeric) = 1.016407911574444 " " absolute error = 1.1250151921160523000000000E-9 " " relative error = 1.10685402785594720000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1814999999999945 " " y[1] (analytic) = 1.016425958295259 " " y[1] (numeric) = 1.0164259571631518 " " absolute error = 1.1321072967973578000000000E-9 " " relative error = 1.11381186948050650000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1815999999999945 " " y[1] (analytic) = 1.0164440137267996 " " y[1] (numeric) = 1.0164440125875638 " " absolute error = 1.139235816793871000000000E-9 " " relative error = 1.12080527939443940000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18169999999999448 " " y[1] (analytic) = 1.0164620789938998 " " y[1] (numeric) = 1.0164620778474995 " " absolute error = 1.146400308016382000000000E-9 " " relative error = 1.1278338186025551000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18179999999999447 " " y[1] (analytic) = 1.0164801540963793 " " y[1] (numeric) = 1.016480152942778 " " absolute error = 1.1536012145541008000000000E-9 " " relative error = 1.1348979219172440000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18189999999999446 " " y[1] (analytic) = 1.0164982390340573 " " y[1] (numeric) = 1.0164982378732184 " " absolute error = 1.1608389804962371000000000E-9 " " relative error = 1.14199802411791850000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18199999999999444 " " y[1] (analytic) = 1.0165163338067529 " " y[1] (numeric) = 1.0165163326386397 " " absolute error = 1.1681131617535812000000000E-9 " " relative error = 1.14913368620365720000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18209999999999443 " " y[1] (analytic) = 1.016534438414285 " " y[1] (numeric) = 1.016534437238861 " " absolute error = 1.1754239803707378000000000E-9 " " relative error = 1.1563051245015450000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18219999999999442 " " y[1] (analytic) = 1.016552552856473 " " y[1] (numeric) = 1.0165525516737008 " " absolute error = 1.1827721024815219000000000E-9 " " relative error = 1.16351299217928140000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1822999999999944 " " y[1] (analytic) = 1.016570677133135 " " y[1] (numeric) = 1.016570675942978 " " absolute error = 1.1901570839967235000000000E-9 " " relative error = 1.17075685023015350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1823999999999944 " " y[1] (analytic) = 1.0165888112440906 " " y[1] (numeric) = 1.0165888100465112 " " absolute error = 1.1975793690055525000000000E-9 " " relative error = 1.17803713336168580000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1824999999999944 " " y[1] (analytic) = 1.0166069551891581 " " y[1] (numeric) = 1.016606953984119 " " absolute error = 1.2050391795526139000000000E-9 " " relative error = 1.18535405783092890000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18259999999999438 " " y[1] (analytic) = 1.016625108968156 " " y[1] (numeric) = 1.0166251077556194 " " absolute error = 1.2125365156379075000000000E-9 " " relative error = 1.19270762146391980000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18269999999999437 " " y[1] (analytic) = 1.0166432725809025 " " y[1] (numeric) = 1.016643271360831 " " absolute error = 1.2200713772614336000000000E-9 " " relative error = 1.200097822084730000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18279999999999436 " " y[1] (analytic) = 1.0166614460272165 " " y[1] (numeric) = 1.0166614447995723 " " absolute error = 1.2276442085124017000000000E-9 " " relative error = 1.20752509432676680000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18289999999999434 " " y[1] (analytic) = 1.0166796293069162 " " y[1] (numeric) = 1.016679628071661 " " absolute error = 1.235255231435417000000000E-9 " " relative error = 1.2149896543884790000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18299999999999433 " " y[1] (analytic) = 1.0166978224198195 " " y[1] (numeric) = 1.0166978211769153 " " absolute error = 1.2429042239858745000000000E-9 " " relative error = 1.22249128165502150000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18309999999999432 " " y[1] (analytic) = 1.0167160253657443 " " y[1] (numeric) = 1.0167160241151532 " " absolute error = 1.2505911861637742000000000E-9 " " relative error = 1.23002997391911630000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1831999999999943 " " y[1] (analytic) = 1.016734238144509 " " y[1] (numeric) = 1.0167342368861922 " " absolute error = 1.2583167841029308000000000E-9 " " relative error = 1.23760638414154150000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1832999999999943 " " y[1] (analytic) = 1.0167524607559315 " " y[1] (numeric) = 1.0167524594898505 " " absolute error = 1.2660810178033444000000000E-9 " " relative error = 1.24522051007581830000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1833999999999943 " " y[1] (analytic) = 1.0167706931998293 " " y[1] (numeric) = 1.0167706919259454 " " absolute error = 1.2738838872650150000000000E-9 " " relative error = 1.25287234947344640000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18349999999999428 " " y[1] (analytic) = 1.01678893547602 " " y[1] (numeric) = 1.0167889341942946 " " absolute error = 1.2817253924879424000000000E-9 " " relative error = 1.26056190008390440000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18359999999999427 " " y[1] (analytic) = 1.0168071875843214 " " y[1] (numeric) = 1.0168071862947154 " " absolute error = 1.2896059775613367000000000E-9 " " relative error = 1.26828959640334250000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18369999999999426 " " y[1] (analytic) = 1.0168254495245508 " " y[1] (numeric) = 1.0168254482270251 " " absolute error = 1.2975256424851977000000000E-9 " " relative error = 1.27605543615366580000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18379999999999425 " " y[1] (analytic) = 1.016843721296526 " " y[1] (numeric) = 1.0168437199910412 " " absolute error = 1.3054848313487355000000000E-9 " " relative error = 1.28385985378773630000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18389999999999423 " " y[1] (analytic) = 1.016862002900064 " " y[1] (numeric) = 1.0168620015865806 " " absolute error = 1.313483322107345000000000E-9 " " relative error = 1.29170262863724350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18399999999999422 " " y[1] (analytic) = 1.0168802943349815 " " y[1] (numeric) = 1.0168802930134602 " " absolute error = 1.3215213368056310000000000E-9 " " relative error = 1.29958397676481540000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1840999999999942 " " y[1] (analytic) = 1.0168985956010963 " " y[1] (numeric) = 1.0168985942714972 " " absolute error = 1.3295990974881988000000000E-9 " " relative error = 1.30750411421530500000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1841999999999942 " " y[1] (analytic) = 1.016916906698225 " " y[1] (numeric) = 1.0169169053605083 " " absolute error = 1.337716826199653000000000E-9 " " relative error = 1.3154632570157740000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1842999999999942 " " y[1] (analytic) = 1.0169352276261852 " " y[1] (numeric) = 1.0169352262803102 " " absolute error = 1.3458749670292036000000000E-9 " " relative error = 1.32346183952232330000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18439999999999418 " " y[1] (analytic) = 1.0169535583847926 " " y[1] (numeric) = 1.0169535570307198 " " absolute error = 1.3540728538430358000000000E-9 " " relative error = 1.33149920434290330000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18449999999999417 " " y[1] (analytic) = 1.0169718989738645 " " y[1] (numeric) = 1.0169718976115534 " " absolute error = 1.3623111527749643000000000E-9 " " relative error = 1.33957600416447200000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18459999999999416 " " y[1] (analytic) = 1.0169902493932175 " " y[1] (numeric) = 1.0169902480226274 " " absolute error = 1.370590085869594000000000E-9 " " relative error = 1.34769245495455850000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18469999999999415 " " y[1] (analytic) = 1.0170086096426676 " " y[1] (numeric) = 1.0170086082637584 " " absolute error = 1.3789092090377153000000000E-9 " " relative error = 1.35584811766952860000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18479999999999414 " " y[1] (analytic) = 1.017026979722032 " " y[1] (numeric) = 1.0170269783347625 " " absolute error = 1.3872694104577477000000000E-9 " " relative error = 1.364043863258090000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18489999999999412 " " y[1] (analytic) = 1.0170453596311266 " " y[1] (numeric) = 1.0170453582354557 " " absolute error = 1.395670912174296000000000E-9 " " relative error = 1.37227990763410330000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1849999999999941 " " y[1] (analytic) = 1.0170637493697674 " " y[1] (numeric) = 1.0170637479656544 " " absolute error = 1.4041130480535458000000000E-9 " " relative error = 1.38055559341645680000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1850999999999941 " " y[1] (analytic) = 1.0170821489377708 " " y[1] (numeric) = 1.0170821475251741 " " absolute error = 1.4125967062739164000000000E-9 " " relative error = 1.3888717914764470000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1851999999999941 " " y[1] (analytic) = 1.0171005583349526 " " y[1] (numeric) = 1.017100556913831 " " absolute error = 1.4211216647908032000000000E-9 " " relative error = 1.39722828106323580000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18529999999999408 " " y[1] (analytic) = 1.017118977561129 " " y[1] (numeric) = 1.0171189761314408 " " absolute error = 1.4296881456488109000000000E-9 " " relative error = 1.40562527805444120000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18539999999999407 " " y[1] (analytic) = 1.0171374066161154 " " y[1] (numeric) = 1.017137405177819 " " absolute error = 1.4382963708925445000000000E-9 " " relative error = 1.41406299830970780000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18549999999999406 " " y[1] (analytic) = 1.017155845499728 " " y[1] (numeric) = 1.0171558440527813 " " absolute error = 1.4469467846112138000000000E-9 " " relative error = 1.4225418759701760000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18559999999999405 " " y[1] (analytic) = 1.0171742942117818 " " y[1] (numeric) = 1.0171742927561431 " " absolute error = 1.4556387206710042000000000E-9 " " relative error = 1.4310612536654720000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18569999999999404 " " y[1] (analytic) = 1.017192752752093 " " y[1] (numeric) = 1.0171927512877197 " " absolute error = 1.4643732892949402000000000E-9 " " relative error = 1.439622220403130000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18579999999999403 " " y[1] (analytic) = 1.0172112211204767 " " y[1] (numeric) = 1.0172112196473264 " " absolute error = 1.4731502684384168000000000E-9 " " relative error = 1.44822455538360540000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18589999999999401 " " y[1] (analytic) = 1.0172296993167478 " " y[1] (numeric) = 1.0172296978347786 " " absolute error = 1.4819692140122243000000000E-9 " " relative error = 1.45686781953735000000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.185999999999994 " " y[1] (analytic) = 1.017248187340722 " " y[1] (numeric) = 1.017248185849891 " " absolute error = 1.4908310141947823000000000E-9 " " relative error = 1.46555288350239760000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.186099999999994 " " y[1] (analytic) = 1.0172666851922143 " " y[1] (numeric) = 1.0172666836924786 " " absolute error = 1.4997356689860908000000000E-9 " " relative error = 1.47427974474826450000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18619999999999398 " " y[1] (analytic) = 1.01728519287104 " " y[1] (numeric) = 1.0172851913623564 " " absolute error = 1.5086836224753597000000000E-9 " " relative error = 1.48304883728570480000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18629999999999397 " " y[1] (analytic) = 1.0173037103770137 " " y[1] (numeric) = 1.017303708859339 " " absolute error = 1.517674652617984000000000E-9 " " relative error = 1.49185994028816850000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18639999999999396 " " y[1] (analytic) = 1.01732223770995 " " y[1] (numeric) = 1.0173222361832415 " " absolute error = 1.526708537369359000000000E-9 " " relative error = 1.50071283294275220000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18649999999999395 " " y[1] (analytic) = 1.0173407748696643 " " y[1] (numeric) = 1.017340773333878 " " absolute error = 1.535786386952509000000000E-9 " " relative error = 1.50960860400907950000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18659999999999394 " " y[1] (analytic) = 1.0173593218559707 " " y[1] (numeric) = 1.0173593203110631 " " absolute error = 1.5449075352336195000000000E-9 " " relative error = 1.51854659611831280000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18669999999999393 " " y[1] (analytic) = 1.0173778786686838 " " y[1] (numeric) = 1.0173778771146114 " " absolute error = 1.5540724263019000000000000E-9 " " relative error = 1.5275272432063510000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18679999999999392 " " y[1] (analytic) = 1.017396445307618 " " y[1] (numeric) = 1.0173964437443368 " " absolute error = 1.563281282201956000000000E-9 " " relative error = 1.53655076092710840000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1868999999999939 " " y[1] (analytic) = 1.017415021772588 " " y[1] (numeric) = 1.0174150202000536 " " absolute error = 1.5725343249783919000000000E-9 " " relative error = 1.54561736491628500000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1869999999999939 " " y[1] (analytic) = 1.0174336080634074 " " y[1] (numeric) = 1.0174336064815759 " " absolute error = 1.5818315546312078000000000E-9 " " relative error = 1.55472705255144920000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18709999999999388 " " y[1] (analytic) = 1.017452204179891 " " y[1] (numeric) = 1.0174522025887178 " " absolute error = 1.5911731932050088000000000E-9 " " relative error = 1.563880039443780000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18719999999999387 " " y[1] (analytic) = 1.0174708101218526 " " y[1] (numeric) = 1.0174708085212931 " " absolute error = 1.6005594627443998000000000E-9 " " relative error = 1.5730765411861952000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18729999999999386 " " y[1] (analytic) = 1.0174894258891058 " " y[1] (numeric) = 1.0174894242791155 " " absolute error = 1.6099903632493806000000000E-9 " " relative error = 1.58231655512540930000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18739999999999385 " " y[1] (analytic) = 1.017508051481465 " " y[1] (numeric) = 1.0175080498619986 " " absolute error = 1.6194663388091612000000000E-9 " " relative error = 1.59160051505367550000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18749999999999384 " " y[1] (analytic) = 1.0175266868987436 " " y[1] (numeric) = 1.0175266852697562 " " absolute error = 1.6289873894237417000000000E-9 " " relative error = 1.6009284182890882000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18759999999999383 " " y[1] (analytic) = 1.0175453321407553 " " y[1] (numeric) = 1.0175453305022018 " " absolute error = 1.6385535150931219000000000E-9 " " relative error = 1.61030026214740050000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18769999999999382 " " y[1] (analytic) = 1.0175639872073137 " " y[1] (numeric) = 1.0175639855591485 " " absolute error = 1.6481651599065117000000000E-9 " " relative error = 1.619716480365890000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1877999999999938 " " y[1] (analytic) = 1.0175826520982323 " " y[1] (numeric) = 1.0175826504404097 " " absolute error = 1.657822545908516000000000E-9 " " relative error = 1.62917728843954220000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1878999999999938 " " y[1] (analytic) = 1.0176013268133242 " " y[1] (numeric) = 1.0176013251457987 " " absolute error = 1.66752545105453000000000E-9 " " relative error = 1.63868246543710800000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18799999999999378 " " y[1] (analytic) = 1.017620011352403 " " y[1] (numeric) = 1.0176200096751284 " " absolute error = 1.6772745414783685000000000E-9 " " relative error = 1.64823266324066660000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18809999999999377 " " y[1] (analytic) = 1.0176387057152816 " " y[1] (numeric) = 1.017638704028212 " " absolute error = 1.6870695951354264000000000E-9 " " relative error = 1.65782766089818980000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18819999999999376 " " y[1] (analytic) = 1.017657409901773 " " y[1] (numeric) = 1.0176574082048624 " " absolute error = 1.6969106120257038000000000E-9 " " relative error = 1.66746745566319220000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18829999999999375 " " y[1] (analytic) = 1.0176761239116905 " " y[1] (numeric) = 1.0176761222048922 " " absolute error = 1.7067982582830155000000000E-9 " " relative error = 1.67715269935047040000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18839999999999374 " " y[1] (analytic) = 1.0176948477448464 " " y[1] (numeric) = 1.0176948460281143 " " absolute error = 1.7167320898181515000000000E-9 " " relative error = 1.6868829528048920000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18849999999999373 " " y[1] (analytic) = 1.0177135814010543 " " y[1] (numeric) = 1.017713579674341 " " absolute error = 1.7267132168541366000000000E-9 " " relative error = 1.69665930416004170000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18859999999999372 " " y[1] (analytic) = 1.017732324880126 " " y[1] (numeric) = 1.0177323231433852 " " absolute error = 1.736740751212551000000000E-9 " " relative error = 1.7064808778841858000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1886999999999937 " " y[1] (analytic) = 1.0177510781818748 " " y[1] (numeric) = 1.017751076435059 " " absolute error = 1.7468158031164194000000000E-9 " " relative error = 1.71634876205383790000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1887999999999937 " " y[1] (analytic) = 1.0177698413061125 " " y[1] (numeric) = 1.0177698395491748 " " absolute error = 1.756937706431927000000000E-9 " " relative error = 1.72626229932028090000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18889999999999368 " " y[1] (analytic) = 1.0177886142526518 " " y[1] (numeric) = 1.0177886124855446 " " absolute error = 1.7671071272928884000000000E-9 " " relative error = 1.73622214136326420000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18899999999999367 " " y[1] (analytic) = 1.017807397021305 " " y[1] (numeric) = 1.0178073952439808 " " absolute error = 1.7773242877439088000000000E-9 " " relative error = 1.7462285034923020000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18909999999999366 " " y[1] (analytic) = 1.0178261896118843 " " y[1] (numeric) = 1.0178261878242951 " " absolute error = 1.787589187784988000000000E-9 " " relative error = 1.75628138284261330000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18919999999999365 " " y[1] (analytic) = 1.0178449920242016 " " y[1] (numeric) = 1.0178449902262998 " " absolute error = 1.7979018274161263000000000E-9 " " relative error = 1.7663807765469430000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18929999999999364 " " y[1] (analytic) = 1.0178638042580692 " " y[1] (numeric) = 1.0178638024498063 " " absolute error = 1.808262872771138000000000E-9 " " relative error = 1.77652733617853550000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18939999999999363 " " y[1] (analytic) = 1.0178826263132985 " " y[1] (numeric) = 1.0178826244946266 " " absolute error = 1.8186718797608137000000000E-9 " " relative error = 1.78672062254163740000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18949999999999362 " " y[1] (analytic) = 1.0179014581897015 " " y[1] (numeric) = 1.0179014563605722 " " absolute error = 1.829129292474363000000000E-9 " " relative error = 1.79696106902862560000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1895999999999936 " " y[1] (analytic) = 1.01792029988709 " " y[1] (numeric) = 1.0179202980474544 " " absolute error = 1.8396355550009957000000000E-9 " " relative error = 1.80724910899709180000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1896999999999936 " " y[1] (analytic) = 1.0179391514052756 " " y[1] (numeric) = 1.017939149555085 " " absolute error = 1.850190667340712000000000E-9 " " relative error = 1.81758473950678150000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18979999999999358 " " y[1] (analytic) = 1.0179580127440695 " " y[1] (numeric) = 1.017958010883275 " " absolute error = 1.8607944074489070000000000E-9 " " relative error = 1.82796773948744330000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18989999999999357 " " y[1] (analytic) = 1.0179768839032834 " " y[1] (numeric) = 1.017976882031836 " " absolute error = 1.871447441459395000000000E-9 " " relative error = 1.83839876037617260000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.18999999999999356 " " y[1] (analytic) = 1.0179957648827285 " " y[1] (numeric) = 1.0179957630005787 " " absolute error = 1.8821497693721767000000000E-9 " " relative error = 1.84887779920086150000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19009999999999355 " " y[1] (analytic) = 1.0180146556822158 " " y[1] (numeric) = 1.0180146537893142 " " absolute error = 1.8929016132318566000000000E-9 " " relative error = 1.85940507110218450000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19019999999999354 " " y[1] (analytic) = 1.0180335563015566 " " y[1] (numeric) = 1.0180335543978536 " " absolute error = 1.9037029730384347000000000E-9 " " relative error = 1.8699805730907850000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19029999999999353 " " y[1] (analytic) = 1.0180524667405617 " " y[1] (numeric) = 1.0180524648260074 " " absolute error = 1.914554292881121000000000E-9 " " relative error = 1.8806047383892070000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19039999999999352 " " y[1] (analytic) = 1.0180713869990423 " " y[1] (numeric) = 1.0180713850735867 " " absolute error = 1.9254555727599154000000000E-9 " " relative error = 1.89127756397865140000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1904999999999935 " " y[1] (analytic) = 1.018090317076809 " " y[1] (numeric) = 1.018090315140402 " " absolute error = 1.936407034719423000000000E-9 " " relative error = 1.90199926493685750000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1905999999999935 " " y[1] (analytic) = 1.0181092569736725 " " y[1] (numeric) = 1.0181092550262636 " " absolute error = 1.9474089008042483000000000E-9 " " relative error = 1.91277005632275370000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19069999999999349 " " y[1] (analytic) = 1.0181282066894433 " " y[1] (numeric) = 1.018128204730982 " " absolute error = 1.9584611710143918000000000E-9 " " relative error = 1.92358993508543020000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19079999999999347 " " y[1] (analytic) = 1.0181471662239323 " " y[1] (numeric) = 1.0181471642543678 " " absolute error = 1.969564511483668000000000E-9 " " relative error = 1.9344595524322072000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19089999999999346 " " y[1] (analytic) = 1.0181661355769493 " " y[1] (numeric) = 1.018166133596231 " " absolute error = 1.980718256078262000000000E-9 " " relative error = 1.94537825102175240000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19099999999999345 " " y[1] (analytic) = 1.018185114748305 " " y[1] (numeric) = 1.018185112756382 " " absolute error = 1.991923070931989000000000E-9 " " relative error = 1.95634668203177570000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19109999999999344 " " y[1] (analytic) = 1.0182041037378098 " " y[1] (numeric) = 1.0182041017346302 " " absolute error = 2.0031796221786635000000000E-9 " " relative error = 1.96736549658857760000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19119999999999343 " " y[1] (analytic) = 1.0182231025452733 " " y[1] (numeric) = 1.018223100530786 " " absolute error = 2.0144872436844707000000000E-9 " " relative error = 1.97843403734291180000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19129999999999342 " " y[1] (analytic) = 1.018242111170506 " " y[1] (numeric) = 1.0182421091446592 " " absolute error = 2.0258468236278304000000000E-9 " " relative error = 1.9895531734579770000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1913999999999934 " " y[1] (analytic) = 1.0182611296133173 " " y[1] (numeric) = 1.0182611275760596 " " absolute error = 2.0372576958749278000000000E-9 " " relative error = 2.00072224759141350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1914999999999934 " " y[1] (analytic) = 1.0182801578735174 " " y[1] (numeric) = 1.0182801558247967 " " absolute error = 2.0487207486041825000000000E-9 " " relative error = 2.01194212885630830000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1915999999999934 " " y[1] (analytic) = 1.018299195950916 " " y[1] (numeric) = 1.01829919389068 " " absolute error = 2.0602359818155946000000000E-9 " " relative error = 2.02321281408033430000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19169999999999338 " " y[1] (analytic) = 1.0183182438453224 " " y[1] (numeric) = 1.018318241773519 " " absolute error = 2.071803395509164100000000E-9 " " relative error = 2.03453430008847100000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19179999999999336 " " y[1] (analytic) = 1.0183373015565467 " " y[1] (numeric) = 1.018337299473123 " " absolute error = 2.083423655818705800000000E-9 " " relative error = 2.04590723784168150000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19189999999999335 " " y[1] (analytic) = 1.0183563690843978 " " y[1] (numeric) = 1.0183563669893014 " " absolute error = 2.0950963186550098000000000E-9 " " relative error = 2.0573311880385320000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19199999999999334 " " y[1] (analytic) = 1.0183754464286852 " " y[1] (numeric) = 1.018375444321863 " " absolute error = 2.106822050151890800000000E-9 " " relative error = 2.06880680159783030000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19209999999999333 " " y[1] (analytic) = 1.018394533589218 " " y[1] (numeric) = 1.0183945314706173 " " absolute error = 2.118600628264744000000000E-9 " " relative error = 2.08033385725075760000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19219999999999332 " " y[1] (analytic) = 1.0184136305658056 " " y[1] (numeric) = 1.0184136284353729 " " absolute error = 2.130432719127384200000000E-9 " " relative error = 2.0919130058616440000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1922999999999933 " " y[1] (analytic) = 1.018432737358257 " " y[1] (numeric) = 1.0184327352159388 " " absolute error = 2.1423181006952063000000000E-9 " " relative error = 2.10354402613984050000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1923999999999933 " " y[1] (analytic) = 1.018451853966381 " " y[1] (numeric) = 1.0184518518121237 " " absolute error = 2.1542572170574203000000000E-9 " " relative error = 2.11522735087340930000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1924999999999933 " " y[1] (analytic) = 1.0184709803899863 " " y[1] (numeric) = 1.0184709782237362 " " absolute error = 2.1662500682140262000000000E-9 " " relative error = 2.12696297677970160000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19259999999999328 " " y[1] (analytic) = 1.0184901166288816 " " y[1] (numeric) = 1.018490114450585 " " absolute error = 2.178296654165024000000000E-9 " " relative error = 2.13875090057329830000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19269999999999327 " " y[1] (analytic) = 1.0185092626828762 " " y[1] (numeric) = 1.0185092604924784 " " absolute error = 2.1903978630888332000000000E-9 " " relative error = 2.15059199100365670000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19279999999999325 " " y[1] (analytic) = 1.0185284185517778 " " y[1] (numeric) = 1.0185284163492248 " " absolute error = 2.2025530288516393000000000E-9 " " relative error = 2.16248559071468920000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19289999999999324 " " y[1] (analytic) = 1.0185475842353955 " " y[1] (numeric) = 1.0185475820206324 " " absolute error = 2.214763039631861800000000E-9 " " relative error = 2.17443256840517930000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19299999999999323 " " y[1] (analytic) = 1.018566759733537 " " y[1] (numeric) = 1.0185667575065096 " " absolute error = 2.227027451340291000000000E-9 " " relative error = 2.18643248472284170000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19309999999999322 " " y[1] (analytic) = 1.018585945046011 " " y[1] (numeric) = 1.0185859428066641 " " absolute error = 2.2393469301107416000000000E-9 " " relative error = 2.19848599031040700000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1931999999999932 " " y[1] (analytic) = 1.0186051401726257 " " y[1] (numeric) = 1.018605137920904 " " absolute error = 2.2517216979878185000000000E-9 " " relative error = 2.21059329978073070000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1932999999999932 " " y[1] (analytic) = 1.018624345113189 " " y[1] (numeric) = 1.0186243428490374 " " absolute error = 2.264151532926916800000000E-9 " " relative error = 2.22275419175783170000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1933999999999932 " " y[1] (analytic) = 1.0186435598675088 " " y[1] (numeric) = 1.0186435575908717 " " absolute error = 2.2766371010618514000000000E-9 " " relative error = 2.2349693168020080000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19349999999999318 " " y[1] (analytic) = 1.0186627844353928 " " y[1] (numeric) = 1.0186627821462146 " " absolute error = 2.289178180348017000000000E-9 " " relative error = 2.24723845351513850000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19359999999999317 " " y[1] (analytic) = 1.0186820188166492 " " y[1] (numeric) = 1.018682016514874 " " absolute error = 2.301775214874624000000000E-9 " " relative error = 2.25956203443001630000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19369999999999316 " " y[1] (analytic) = 1.018701263011085 " " y[1] (numeric) = 1.018701260696657 " " absolute error = 2.314427982597067000000000E-9 " " relative error = 2.27193983813867380000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19379999999999314 " " y[1] (analytic) = 1.0187205170185085 " " y[1] (numeric) = 1.0187205146913711 " " absolute error = 2.327137371693766000000000E-9 " " relative error = 2.28437273306775430000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19389999999999313 " " y[1] (analytic) = 1.0187397808387268 " " y[1] (numeric) = 1.0187397784988237 " " absolute error = 2.339903160120116000000000E-9 " " relative error = 2.2968604977746893000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19399999999999312 " " y[1] (analytic) = 1.0187590544715475 " " y[1] (numeric) = 1.0187590521188217 " " absolute error = 2.3527257919653266000000000E-9 " " relative error = 2.30940356469836400000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1940999999999931 " " y[1] (analytic) = 1.0187783379167772 " " y[1] (numeric) = 1.0187783355511724 " " absolute error = 2.3656048231401883000000000E-9 " " relative error = 2.32200149443443670000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1941999999999931 " " y[1] (analytic) = 1.0187976311742237 " " y[1] (numeric) = 1.0187976287956826 " " absolute error = 2.3785411418231206000000000E-9 " " relative error = 2.33465515529488740000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1942999999999931 " " y[1] (analytic) = 1.018816934243694 " " y[1] (numeric) = 1.0188169318521594 " " absolute error = 2.3915345259695187000000000E-9 " " relative error = 2.34736432580485570000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19439999999999308 " " y[1] (analytic) = 1.0188362471249948 " " y[1] (numeric) = 1.0188362447204093 " " absolute error = 2.4045854196685923000000000E-9 " " relative error = 2.36012943832139530000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19449999999999307 " " y[1] (analytic) = 1.0188555698179331 " " y[1] (numeric) = 1.0188555674002393 " " absolute error = 2.4176938229203415000000000E-9 " " relative error = 2.37295048929494200000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19459999999999306 " " y[1] (analytic) = 1.0188749023223158 " " y[1] (numeric) = 1.0188748998914556 " " absolute error = 2.430860179813976200000000E-9 " " relative error = 2.38582791103532980000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19469999999999305 " " y[1] (analytic) = 1.0188942446379494 " " y[1] (numeric) = 1.018894242193865 " " absolute error = 2.4440844903494963000000000E-9 " " relative error = 2.3987616999622660000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19479999999999303 " " y[1] (analytic) = 1.0189135967646406 " " y[1] (numeric) = 1.0189135943072736 " " absolute error = 2.4573669765715067000000000E-9 " " relative error = 2.4117520704153830000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19489999999999302 " " y[1] (analytic) = 1.0189329587021958 " " y[1] (numeric) = 1.018932956231488 " " absolute error = 2.4707078605246124000000000E-9 " " relative error = 2.42479923671477550000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.194999999999993 " " y[1] (analytic) = 1.0189523304504213 " " y[1] (numeric) = 1.0189523279663142 " " absolute error = 2.4841071422088135000000000E-9 " " relative error = 2.4379031952463662000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.195099999999993 " " y[1] (analytic) = 1.0189717120091237 " " y[1] (numeric) = 1.0189717095115582 " " absolute error = 2.4975654877579245000000000E-9 " " relative error = 2.45106459612449150000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.195199999999993 " " y[1] (analytic) = 1.018991103378109 " " y[1] (numeric) = 1.0189911008670263 " " absolute error = 2.5110826751273410000000000E-9 " " relative error = 2.46428321778543850000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19529999999999298 " " y[1] (analytic) = 1.019010504557183 " " y[1] (numeric) = 1.019010502032524 " " absolute error = 2.524658926361667000000000E-9 " " relative error = 2.47755927448340930000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19539999999999297 " " y[1] (analytic) = 1.019029915546152 " " y[1] (numeric) = 1.0190299130078573 " " absolute error = 2.538294685550113000000000E-9 " " relative error = 2.49089319835100940000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19549999999999296 " " y[1] (analytic) = 1.019049336344822 " " y[1] (numeric) = 1.019049333792832 " " absolute error = 2.551990174737284000000000E-9 " " relative error = 2.50428520359072300000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19559999999999295 " " y[1] (analytic) = 1.0190687669529983 " " y[1] (numeric) = 1.0190687643872534 " " absolute error = 2.56574494983397000000000E-9 " " relative error = 2.51773485071622060000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19569999999999294 " " y[1] (analytic) = 1.0190882073704874 " " y[1] (numeric) = 1.019088204790927 " " absolute error = 2.5795603431078007000000000E-9 " " relative error = 2.5312434433558380000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19579999999999292 " " y[1] (analytic) = 1.019107657597094 " " y[1] (numeric) = 1.0191076550036586 " " absolute error = 2.593435466380356000000000E-9 " " relative error = 2.54481010622105930000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1958999999999929 " " y[1] (analytic) = 1.0191271176326242 " " y[1] (numeric) = 1.0191271150252532 " " absolute error = 2.607370985785451000000000E-9 " " relative error = 2.5584354892275163000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1959999999999929 " " y[1] (analytic) = 1.0191465874768832 " " y[1] (numeric) = 1.0191465848555161 " " absolute error = 2.6213671233676905000000000E-9 " " relative error = 2.57211980649167400000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1960999999999929 " " y[1] (analytic) = 1.0191660671296763 " " y[1] (numeric) = 1.0191660644942524 " " absolute error = 2.6354238791270745000000000E-9 " " relative error = 2.5858630542413350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19619999999999288 " " y[1] (analytic) = 1.0191855565908088 " " y[1] (numeric) = 1.0191855539412669 " " absolute error = 2.649541919197418000000000E-9 " " relative error = 2.59966588229544400000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19629999999999287 " " y[1] (analytic) = 1.0192050558600858 " " y[1] (numeric) = 1.0192050531963646 " " absolute error = 2.6637212435787205000000000E-9 " " relative error = 2.6135282868380810000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19639999999999286 " " y[1] (analytic) = 1.019224564937312 " " y[1] (numeric) = 1.0192245622593503 " " absolute error = 2.6779616302263776000000000E-9 " " relative error = 2.6274500461937820000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19649999999999285 " " y[1] (analytic) = 1.0192440838222927 " " y[1] (numeric) = 1.019244081130029 " " absolute error = 2.6922637452742040000000000E-9 " " relative error = 2.64143181010958460000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19659999999999284 " " y[1] (analytic) = 1.0192636125148324 " " y[1] (numeric) = 1.0192636098082049 " " absolute error = 2.706627588722199000000000E-9 " " relative error = 2.6554735747351250000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19669999999999283 " " y[1] (analytic) = 1.019283151014736 " " y[1] (numeric) = 1.0192831482936826 " " absolute error = 2.7210533826149685000000000E-9 " " relative error = 2.66957555406076740000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19679999999999281 " " y[1] (analytic) = 1.0193026993218082 " " y[1] (numeric) = 1.0193026965862666 " " absolute error = 2.735541571041722000000000E-9 " " relative error = 2.6837381798967190000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1968999999999928 " " y[1] (analytic) = 1.0193222574358534 " " y[1] (numeric) = 1.0193222546857612 " " absolute error = 2.7500921540024590000000000E-9 " " relative error = 2.69796144834551940000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1969999999999928 " " y[1] (analytic) = 1.019341825356676 " " y[1] (numeric) = 1.0193418225919706 " " absolute error = 2.7647053535417854000000000E-9 " " relative error = 2.7122455733378670000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19709999999999278 " " y[1] (analytic) = 1.0193614030840803 " " y[1] (numeric) = 1.019361400304699 " " absolute error = 2.7793813917043053000000000E-9 " " relative error = 2.72659076878453600000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19719999999999277 " " y[1] (analytic) = 1.0193809906178704 " " y[1] (numeric) = 1.0193809878237503 " " absolute error = 2.794120046445414000000000E-9 " " relative error = 2.74099681293039740000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19729999999999276 " " y[1] (analytic) = 1.019400587957851 " " y[1] (numeric) = 1.0194005851489285 " " absolute error = 2.8089224279881364000000000E-9 " " relative error = 2.75546479094661500000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19739999999999275 " " y[1] (analytic) = 1.0194201951038253 " " y[1] (numeric) = 1.0194201922800374 " " absolute error = 2.8237878701986574000000000E-9 " " relative error = 2.76999404540054450000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19749999999999274 " " y[1] (analytic) = 1.0194398120555976 " " y[1] (numeric) = 1.0194398092168806 " " absolute error = 2.838717039210792000000000E-9 " " relative error = 2.7845852257690480000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19759999999999273 " " y[1] (analytic) = 1.019459438812972 " " y[1] (numeric) = 1.019459435959262 " " absolute error = 2.8537101570691450000000000E-9 " " relative error = 2.79923854586301040000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19769999999999271 " " y[1] (analytic) = 1.019479075375752 " " y[1] (numeric) = 1.0194790725069847 " " absolute error = 2.868767445818321000000000E-9 " " relative error = 2.8139542194732853000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1977999999999927 " " y[1] (analytic) = 1.0194987217437412 " " y[1] (numeric) = 1.0194987188598523 " " absolute error = 2.8838889054583206000000000E-9 " " relative error = 2.82873224257284340000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1978999999999927 " " y[1] (analytic) = 1.0195183779167434 " " y[1] (numeric) = 1.0195183750176684 " " absolute error = 2.8990749800783533000000000E-9 " " relative error = 2.84357304671863400000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19799999999999268 " " y[1] (analytic) = 1.0195380438945616 " " y[1] (numeric) = 1.019538040980236 " " absolute error = 2.9143256696784190000000000E-9 " " relative error = 2.85847662785187100000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19809999999999267 " " y[1] (analytic) = 1.0195577196769992 " " y[1] (numeric) = 1.0195577167473582 " " absolute error = 2.9296409742585183000000000E-9 " " relative error = 2.8734429819104730000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19819999999999266 " " y[1] (analytic) = 1.0195774052638598 " " y[1] (numeric) = 1.019577402318838 " " absolute error = 2.9450217819970703000000000E-9 " " relative error = 2.8884729759531290000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19829999999999265 " " y[1] (analytic) = 1.0195971006549462 " " y[1] (numeric) = 1.0195970976944784 " " absolute error = 2.9604678708494700000000000E-9 " " relative error = 2.90356638808387200000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19839999999999264 " " y[1] (analytic) = 1.0196168058500619 " " y[1] (numeric) = 1.0196168028740822 " " absolute error = 2.975979684904928000000000E-9 " " relative error = 2.9187236497380330000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19849999999999263 " " y[1] (analytic) = 1.019636520849009 " " y[1] (numeric) = 1.0196365178574522 " " absolute error = 2.9915567800742340000000000E-9 " " relative error = 2.9339443212403660000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19859999999999262 " " y[1] (analytic) = 1.0196562456515914 " " y[1] (numeric) = 1.0196562426443911 " " absolute error = 3.007200266580412000000000E-9 " " relative error = 2.949229487295220000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1986999999999926 " " y[1] (analytic) = 1.019675980257611 " " y[1] (numeric) = 1.0196759772347013 " " absolute error = 3.022909700334253000000000E-9 " " relative error = 2.96457870819958450000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1987999999999926 " " y[1] (analytic) = 1.019695724666871 " " y[1] (numeric) = 1.0196957216281852 " " absolute error = 3.0386857474695717000000000E-9 " " relative error = 2.9799926330595270000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19889999999999258 " " y[1] (analytic) = 1.0197154788791736 " " y[1] (numeric) = 1.0197154758246454 " " absolute error = 3.0545281859417630000000000E-9 " " relative error = 2.99547103992102300000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19899999999999257 " " y[1] (analytic) = 1.0197352428943214 " " y[1] (numeric) = 1.019735239823884 " " absolute error = 3.0704374598400364000000000E-9 " " relative error = 3.011014360085460000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19909999999999256 " " y[1] (analytic) = 1.019755016712117 " " y[1] (numeric) = 1.019755013625703 " " absolute error = 3.086414013253602000000000E-9 " " relative error = 3.0266230248170630000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19919999999999255 " " y[1] (analytic) = 1.0197748003323621 " " y[1] (numeric) = 1.0197747972299045 " " absolute error = 3.1024576241378554000000000E-9 " " relative error = 3.04229681212627600000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19929999999999254 " " y[1] (analytic) = 1.0197945937548594 " " y[1] (numeric) = 1.0197945906362906 " " absolute error = 3.118568736582006000000000E-9 " " relative error = 3.0580361532409290000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19939999999999253 " " y[1] (analytic) = 1.0198143969794107 " " y[1] (numeric) = 1.019814393844663 " " absolute error = 3.1347475726306584000000000E-9 " " relative error = 3.07384126162120350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19949999999999252 " " y[1] (analytic) = 1.019834210005818 " " y[1] (numeric) = 1.0198342068548236 " " absolute error = 3.150994354328418000000000E-9 " " relative error = 3.0897123507069270000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1995999999999925 " " y[1] (analytic) = 1.0198540328338832 " " y[1] (numeric) = 1.019854029666574 " " absolute error = 3.1673093037198896000000000E-9 " " relative error = 3.10564963391755300000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.1996999999999925 " " y[1] (analytic) = 1.019873865463408 " " y[1] (numeric) = 1.0198738622797154 " " absolute error = 3.183692642849678000000000E-9 " " relative error = 3.1216533246521410000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19979999999999248 " " y[1] (analytic) = 1.019893707894194 " " y[1] (numeric) = 1.0198937046940497 " " absolute error = 3.2001443717177835000000000E-9 " " relative error = 3.13772341857586350000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19989999999999247 " " y[1] (analytic) = 1.0199135601260434 " " y[1] (numeric) = 1.0199135569093782 " " absolute error = 3.2166651564580206000000000E-9 " " relative error = 3.15386056447812800000000E-7 "%" h = 1.0000E-4 " " " " "TOP MAIN SOLVE Loop" "NO POLE" x[1] = 0.19999999999999246 " " y[1] (analytic) = 1.0199334221587568 " " y[1] (numeric) = 1.019933418925502 " " absolute error = 3.2332547750257845000000000E-9 " " relative error = 3.1700645402739980000000E-7 "%" h = 1.0000E-4 " " "Finished!" "Maximum Iterations Reached before Solution Completed!" "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;" Iterations = 1000 "Total Elapsed Time "= 8 Minutes 12 Seconds "Elapsed Time(since restart) "= 8 Minutes 12 Seconds "Expected Time Remaining "= 6 Hours 33 Minutes 58 Seconds "Optimized Time Remaining "= 6 Hours 33 Minutes 49 Seconds "Time to Timeout "= 6 Minutes 47 Seconds Percent Done = 2.0428571428569886 "%" (%o54) true (%o54) diffeq.max