(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/local/share/maxima/5.26.0/share/contrib/stringproc/stringproc.mac
(%i3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%o3) display_alot(iter) := if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : abs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
abserr 100.0
20, " "), if abs(analytic_val_y) # 0.0 then relerr : -------------------
abs(analytic_val_y)
else relerr : - 1.0, if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_float(ALWAYS, "h ", 4, glob_h,
20, " "))
(%i4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), if not glob_reached_optimal_h
then (glob_reached_optimal_h : true, glob_curr_iter_when_opt :
glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2)
1
(%o4) adjust_for_pole(h_param) := block(hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (!array_pole ! > glob_small_float) and (array_pole # glob_large_float)
! 1! 1
array_pole
1
then (sz2 : -----------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), newline(),
return(hnew))), if not glob_reached_optimal_h
then (glob_reached_optimal_h : true, glob_curr_iter_when_opt :
glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2)
1
(%i5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(),
total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec),
glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec),
left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
convfloat(clock_sec1) - convfloat(glob_orig_start_sec)),
opt_clock_sec : convfloat(clock_sec1)
- convfloat(glob_optimal_clock_start_sec),
glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o5) prog_report(x_start, x_end) := (clock_sec1 : elapsed_time_seconds(),
total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec),
glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec),
left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
convfloat(clock_sec1) - convfloat(glob_orig_start_sec)),
opt_clock_sec : convfloat(clock_sec1)
- convfloat(glob_optimal_clock_start_sec),
glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), percent_done :
comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%o6) check_for_pole() := (n : glob_max_terms, m : - 1 - 1 + n,
while (m >= 10) and ((!array_y_higher ! < glob_small_float)
! 1, m!
or (!array_y_higher ! < glob_small_float)
! 1, m - 1!
or (!array_y_higher ! < glob_small_float)) do m : m - 1,
! 1, m - 2!
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m - 1) rm0 - convfloat(m - 2) rm1,
glob_h
if abs(hdrc) > glob_small_float then (rcs : ------,
hdrc
convfloat(m - 1) rm0
ord_no : 2.0 - convfloat(m) + --------------------, array_real_pole : rcs,
hdrc 1, 1
array_real_pole : ord_no) else (array_real_pole : glob_large_float,
1, 2 1, 1
array_real_pole : glob_large_float))
1, 2
else (array_real_pole : glob_large_float,
1, 1
array_real_pole : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if !array_y_higher ! >
! 1, n!
glob_small_float then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
elseif (!array_y_higher ! >= glob_large_float)
! 1, m!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 1!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 2!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 3!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 4!
or (!array_y_higher ! >= glob_large_float)
! 1, m - 5!
then (array_complex_pole : glob_large_float,
1, 1
array_complex_pole : glob_large_float)
1, 2
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (abs(nr1 dr2 - nr2 dr1) <= glob_small_float)
rm4 rm3 rm2
or (abs(dr1) <= glob_small_float) then (array_complex_pole :
1, 1
glob_large_float, array_complex_pole : glob_large_float)
1, 2
else (if abs(nr1 dr2 - nr2 dr1) > glob_small_float
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if abs(rcs) > glob_small_float then (if rcs > 0.0 then rad_c : sqrt(rcs) glob_h
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_pole : rad_c,
1, 1
array_complex_pole : ord_no), found : false,
1, 2
if (not found) and ((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole # glob_large_float) and (array_complex_pole # glob_large_float))
1, 1 1, 2
and ((array_complex_pole > 0.0) and (array_complex_pole > 0.0))
1, 1 1, 2
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , found : true, array_type_pole : 2,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if (not found)
and ((array_real_pole # glob_large_float) and (array_real_pole # glob_large_float)
1, 1 1, 2
and (array_real_pole > 0.0) and (array_real_pole > 0.0)
1, 1 1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float) or (array_complex_pole <= 0.0) or (array_complex_pole <= 0.0)))
1, 1 1, 2 1, 1 1, 2
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and (((array_real_pole = glob_large_float)
1, 1
or (array_real_pole = glob_large_float))
1, 2
and ((array_complex_pole = glob_large_float) or (array_complex_pole = glob_large_float)))
1, 1 1, 2
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found : true, array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")),
if (not found) and ((array_real_pole < array_complex_pole )
1, 1 1, 1
and (array_real_pole > 0.0) and (array_real_pole >
1, 1 1, 2
0.0))
then (array_poles : array_real_pole ,
1, 1 1, 1
array_poles : array_real_pole , found : true, array_type_pole : 1,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS, "Real estimate of pole used")),
if (not found) and ((array_complex_pole # glob_large_float)
1, 1
and (array_complex_pole # glob_large_float)
1, 2
and (array_complex_pole > 0.0) and (array_complex_pole >
1, 1 1, 2
0.0))
then (array_poles : array_complex_pole ,
1, 1 1, 1
array_poles : array_complex_pole , array_type_pole : 2, found : true,
1, 2 1, 2 1
if glob_display_flag then omniout_str(ALWAYS,
"Complex estimate of poles used")), if not found
then (array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
array_type_pole : 3, if glob_display_flag
1
then omniout_str(ALWAYS, "NO POLE")), array_pole : glob_large_float,
1
array_pole : glob_large_float, if array_pole > array_poles
2 1 1, 1
then (array_pole : array_poles , array_pole : array_poles ),
1 1, 1 2 1, 2
display_pole())
(%i7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%o7) get_norms() := if not glob_initial_pass
then (set_z(array_norms, 1 + glob_max_terms), iii : 1,
while iii <= glob_max_terms do (if !array_y ! > array_norms
! iii! iii
then array_norms : !array_y !, iii : 1 + iii))
iii ! iii!
(%i8) atomall() := (array_tmp1 : array_m1 array_const_2D0 ,
1 1 1
array_tmp2 : array_tmp1 array_x , array_tmp3 : array_x array_x ,
1 1 1 1 1 1
array_tmp2
1
array_tmp4 : array_const_1D0 + array_tmp3 , array_tmp5 : -----------,
1 1 1 1 array_tmp4
1
array_tmp6 : array_x array_x , array_tmp7 : array_const_1D0 + array_tmp6 ,
1 1 1 1 1 1
array_tmp5
1
array_tmp8 : -----------, array_tmp9 : array_tmp8 + array_const_0D0 ,
1 array_tmp7 1 1 1
1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp9 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : ats(2, array_m1, array_const_2D0, 1),
2
array_tmp2 : ats(2, array_tmp1, array_x, 1),
2
array_tmp3 : ats(2, array_x, array_x, 1),
2
array_tmp4 : array_const_1D0 + array_tmp3 ,
2 2 2
array_tmp2 - ats(2, array_tmp4, array_tmp5, 2)
2
array_tmp5 : -----------------------------------------------,
2 array_tmp4
1
array_tmp6 : ats(2, array_x, array_x, 1),
2
array_tmp7 : array_const_1D0 + array_tmp6 ,
2 2 2
array_tmp5 - ats(2, array_tmp7, array_tmp8, 2)
2
array_tmp8 : -----------------------------------------------,
2 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp9 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : ats(3, array_m1, array_const_2D0, 1),
3
array_tmp2 : ats(3, array_tmp1, array_x, 1),
3
array_tmp3 : ats(3, array_x, array_x, 1),
3
array_tmp4 : array_const_1D0 + array_tmp3 ,
3 3 3
array_tmp2 - ats(3, array_tmp4, array_tmp5, 2)
3
array_tmp5 : -----------------------------------------------,
3 array_tmp4
1
array_tmp6 : ats(3, array_x, array_x, 1),
3
array_tmp7 : array_const_1D0 + array_tmp6 ,
3 3 3
array_tmp5 - ats(3, array_tmp7, array_tmp8, 2)
3
array_tmp8 : -----------------------------------------------,
3 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp9 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : ats(4, array_m1, array_const_2D0, 1),
4
array_tmp2 : ats(4, array_tmp1, array_x, 1),
4
array_tmp3 : ats(4, array_x, array_x, 1),
4
array_tmp4 : array_const_1D0 + array_tmp3 ,
4 4 4
array_tmp2 - ats(4, array_tmp4, array_tmp5, 2)
4
array_tmp5 : -----------------------------------------------,
4 array_tmp4
1
array_tmp6 : ats(4, array_x, array_x, 1),
4
array_tmp7 : array_const_1D0 + array_tmp6 ,
4 4 4
array_tmp5 - ats(4, array_tmp7, array_tmp8, 2)
4
array_tmp8 : -----------------------------------------------,
4 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp9 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : ats(5, array_m1, array_const_2D0, 1),
5
array_tmp2 : ats(5, array_tmp1, array_x, 1),
5
array_tmp3 : ats(5, array_x, array_x, 1),
5
array_tmp4 : array_const_1D0 + array_tmp3 ,
5 5 5
array_tmp2 - ats(5, array_tmp4, array_tmp5, 2)
5
array_tmp5 : -----------------------------------------------,
5 array_tmp4
1
array_tmp6 : ats(5, array_x, array_x, 1),
5
array_tmp7 : array_const_1D0 + array_tmp6 ,
5 5 5
array_tmp5 - ats(5, array_tmp7, array_tmp8, 2)
5
array_tmp8 : -----------------------------------------------,
5 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp9 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
ats(kkk, array_m1, array_const_2D0, 1),
array_tmp2 : ats(kkk, array_tmp1, array_x, 1),
kkk
array_tmp3 : ats(kkk, array_x, array_x, 1),
kkk
array_tmp4 : array_const_1D0 + array_tmp3 ,
kkk kkk kkk
array_tmp2 - ats(kkk, array_tmp4, array_tmp5, 2)
kkk
array_tmp5 : ---------------------------------------------------,
kkk array_tmp4
1
array_tmp6 : ats(kkk, array_x, array_x, 1),
kkk
array_tmp7 : array_const_1D0 + array_tmp6 ,
kkk kkk kkk
array_tmp5 - ats(kkk, array_tmp7, array_tmp8, 2)
kkk
array_tmp8 : ---------------------------------------------------,
kkk array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp9 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_m1 array_const_2D0 ,
1 1 1
array_tmp2 : array_tmp1 array_x , array_tmp3 : array_x array_x ,
1 1 1 1 1 1
array_tmp2
1
array_tmp4 : array_const_1D0 + array_tmp3 , array_tmp5 : -----------,
1 1 1 1 array_tmp4
1
array_tmp6 : array_x array_x , array_tmp7 : array_const_1D0 + array_tmp6 ,
1 1 1 1 1 1
array_tmp5
1
array_tmp8 : -----------, array_tmp9 : array_tmp8 + array_const_0D0 ,
1 array_tmp7 1 1 1
1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
1
then (temporary : array_tmp9 glob_h factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 2,
glob_h 2, 1
array_tmp1 : ats(2, array_m1, array_const_2D0, 1),
2
array_tmp2 : ats(2, array_tmp1, array_x, 1),
2
array_tmp3 : ats(2, array_x, array_x, 1),
2
array_tmp4 : array_const_1D0 + array_tmp3 ,
2 2 2
array_tmp2 - ats(2, array_tmp4, array_tmp5, 2)
2
array_tmp5 : -----------------------------------------------,
2 array_tmp4
1
array_tmp6 : ats(2, array_x, array_x, 1),
2
array_tmp7 : array_const_1D0 + array_tmp6 ,
2 2 2
array_tmp5 - ats(2, array_tmp7, array_tmp8, 2)
2
array_tmp8 : -----------------------------------------------,
2 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
2 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
1
then (temporary : array_tmp9 glob_h factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 3,
glob_h 2, 2
array_tmp1 : ats(3, array_m1, array_const_2D0, 1),
3
array_tmp2 : ats(3, array_tmp1, array_x, 1),
3
array_tmp3 : ats(3, array_x, array_x, 1),
3
array_tmp4 : array_const_1D0 + array_tmp3 ,
3 3 3
array_tmp2 - ats(3, array_tmp4, array_tmp5, 2)
3
array_tmp5 : -----------------------------------------------,
3 array_tmp4
1
array_tmp6 : ats(3, array_x, array_x, 1),
3
array_tmp7 : array_const_1D0 + array_tmp6 ,
3 3 3
array_tmp5 - ats(3, array_tmp7, array_tmp8, 2)
3
array_tmp8 : -----------------------------------------------,
3 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
3 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
1
then (temporary : array_tmp9 glob_h factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 4,
glob_h 2, 3
array_tmp1 : ats(4, array_m1, array_const_2D0, 1),
4
array_tmp2 : ats(4, array_tmp1, array_x, 1),
4
array_tmp3 : ats(4, array_x, array_x, 1),
4
array_tmp4 : array_const_1D0 + array_tmp3 ,
4 4 4
array_tmp2 - ats(4, array_tmp4, array_tmp5, 2)
4
array_tmp5 : -----------------------------------------------,
4 array_tmp4
1
array_tmp6 : ats(4, array_x, array_x, 1),
4
array_tmp7 : array_const_1D0 + array_tmp6 ,
4 4 4
array_tmp5 - ats(4, array_tmp7, array_tmp8, 2)
4
array_tmp8 : -----------------------------------------------,
4 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
4 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
1
then (temporary : array_tmp9 glob_h factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 5,
glob_h 2, 4
array_tmp1 : ats(5, array_m1, array_const_2D0, 1),
5
array_tmp2 : ats(5, array_tmp1, array_x, 1),
5
array_tmp3 : ats(5, array_x, array_x, 1),
5
array_tmp4 : array_const_1D0 + array_tmp3 ,
5 5 5
array_tmp2 - ats(5, array_tmp4, array_tmp5, 2)
5
array_tmp5 : -----------------------------------------------,
5 array_tmp4
1
array_tmp6 : ats(5, array_x, array_x, 1),
5
array_tmp7 : array_const_1D0 + array_tmp6 ,
5 5 5
array_tmp5 - ats(5, array_tmp7, array_tmp8, 2)
5
array_tmp8 : -----------------------------------------------,
5 array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 ,
5 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
1
then (temporary : array_tmp9 glob_h factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 2.0
temporary : -------------, array_y_higher : temporary)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp1 :
kkk
ats(kkk, array_m1, array_const_2D0, 1),
array_tmp2 : ats(kkk, array_tmp1, array_x, 1),
kkk
array_tmp3 : ats(kkk, array_x, array_x, 1),
kkk
array_tmp4 : array_const_1D0 + array_tmp3 ,
kkk kkk kkk
array_tmp2 - ats(kkk, array_tmp4, array_tmp5, 2)
kkk
array_tmp5 : ---------------------------------------------------,
kkk array_tmp4
1
array_tmp6 : ats(kkk, array_x, array_x, 1),
kkk
array_tmp7 : array_const_1D0 + array_tmp6 ,
kkk kkk kkk
array_tmp5 - ats(kkk, array_tmp7, array_tmp8, 2)
kkk
array_tmp8 : ---------------------------------------------------,
kkk array_tmp7
1
array_tmp9 : array_tmp8 + array_const_0D0 , order_d : 1,
kkk kkk kkk
if 1 + order_d + kkk <= glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
order_d
array_tmp9 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)
1.0
(%i49) exact_soln_y(x) := ---------
1.0 + x x
1.0
(%o49) exact_soln_y(x) := ---------
1.0 + x x
(%i50) mainprog() := (define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_clock_sec, 0.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_start, 0, fixnum),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_iter, 0, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(days_in_year, 365.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_warned, false, boolean),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(years_in_century, 100.0, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_h, 0.1, float), ALWAYS : 1, INFO : 2, DEBUGL : 3,
DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0,
glob_max_minutes : 15.0, omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS, "##############temp/sing4postode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"),
omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start : -2.0,"), omniout_str(ALWAYS, "x_end : 1.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.1,"), omniout_str(ALWAYS,
"glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 50,"),
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, "1.0 / (x * x + 1.0) "), omniout_str(ALWAYS, ");"),
omniout_str(ALWAYS, ""), omniout_str(ALWAYS, ""),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0,
glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30,
glob_max_terms : max_terms, glob_html_log : true,
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_tmp4, 1 + max_terms), array(array_tmp5, 1 + max_terms),
array(array_tmp6, 1 + max_terms), array(array_tmp7, 1 + max_terms),
array(array_tmp8, 1 + max_terms), array(array_tmp9, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_y_init, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp7 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp8 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp9 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 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_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_tmp9, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp9 : 0.0, term : 1 + term),
term
array(array_tmp8, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp8 : 0.0, term : 1 + term),
term
array(array_tmp7, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp7 : 0.0, term : 1 + term),
term
array(array_tmp6, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp6 : 0.0, term : 1 + term),
term
array(array_tmp5, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
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_1D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term),
term
array_const_1D0 : 1.0, array(array_const_2D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term),
term
array_const_2D0 : 2.0, 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_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 : - 2.0, x_end : 1.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 0.1,
1 + 0
glob_look_poles : true, glob_max_iter : 50, 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 : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "),
glob_reached_optimal_h : true, glob_optimal_clock_start_sec :
elapsed_time_seconds(), while (glob_current_iter < glob_max_iter)
and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 )\
= m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"),
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,
"2012-06-13T18:44:15-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sing4"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"),
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, "sing4 diffeq.max"), logitem_str(html_log_file, "sing4 maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%o50) mainprog() := (define_variable(glob_iolevel, 5, fixnum),
define_variable(DEBUGL, 3, fixnum), define_variable(INFO, 2, fixnum),
define_variable(glob_max_terms, 30, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(glob_smallish_float, 1.0E-101, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_clock_sec, 0.0, float),
define_variable(djd_debug2, true, boolean),
define_variable(djd_debug, true, boolean),
define_variable(glob_start, 0, fixnum),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(centuries_in_millinium, 10.0, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_small_float, 1.0E-51, float),
define_variable(glob_log10_relerr, 1.0E-11, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_hmin_init, 0.001, float),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_log10normmin, 0.1, float),
define_variable(glob_iter, 0, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_hmin, 1.0E-11, float),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(days_in_year, 365.0, float),
define_variable(glob_warned2, false, boolean),
define_variable(glob_warned, false, boolean),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_log10_abserr, 1.0E-11, float),
define_variable(years_in_century, 100.0, float),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_dump, false, boolean),
define_variable(glob_log10abserr, 0.0, float),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_hmax, 1.0, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(sec_in_min, 60.0, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_log10relerr, 0.0, float),
define_variable(glob_look_poles, false, boolean),
define_variable(hours_in_day, 24.0, float),
define_variable(min_in_hour, 60.0, float),
define_variable(glob_max_minutes, 0.0, float),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_h, 0.1, float), ALWAYS : 1, INFO : 2, DEBUGL : 3,
DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1,
glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0,
glob_max_minutes : 15.0, omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS, "##############temp/sing4postode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits : 50,"),
omniout_str(ALWAYS, "max_terms : 30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start : -2.0,"), omniout_str(ALWAYS, "x_end : 1.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_h : 0.1,"), omniout_str(ALWAYS,
"glob_look_poles : true,"), omniout_str(ALWAYS, "glob_max_iter : 50,"),
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, "1.0 / (x * x + 1.0) "), omniout_str(ALWAYS, ");"),
omniout_str(ALWAYS, ""), omniout_str(ALWAYS, ""),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 1.0E-200, glob_smallish_float : 1.0E-64,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, glob_log10_abserr : - 8.0,
glob_log10_relerr : - 8.0, glob_hmax : 0.01, Digits : 50, max_terms : 30,
glob_max_terms : max_terms, glob_html_log : true,
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_tmp4, 1 + max_terms), array(array_tmp5, 1 + max_terms),
array(array_tmp6, 1 + max_terms), array(array_tmp7, 1 + max_terms),
array(array_tmp8, 1 + max_terms), array(array_tmp9, 1 + max_terms),
array(array_1st_rel_error, 1 + max_terms),
array(array_type_pole, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_y_init, 1 + max_terms),
array(array_y, 1 + max_terms), array(array_x, 1 + max_terms),
array(array_last_rel_error, 1 + max_terms), array(array_pole, 1 + max_terms),
array(array_real_pole, 1 + 1, 1 + 3), array(array_poles, 1 + 1, 1 + 3),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_complex_pole, 1 + 1, 1 + 3),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms), term : 1,
while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp6 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp7 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp8 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_tmp9 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_norms : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term : 1,
term
while term <= max_terms do (array_y_init : 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_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_pole : 0.0,
term
term : 1 + term), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_real_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 1 do (term : 1,
while term <= 3 do (array_complex_pole : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work2 : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_tmp9, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp9 : 0.0, term : 1 + term),
term
array(array_tmp8, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp8 : 0.0, term : 1 + term),
term
array(array_tmp7, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp7 : 0.0, term : 1 + term),
term
array(array_tmp6, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp6 : 0.0, term : 1 + term),
term
array(array_tmp5, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
array(array_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
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_1D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term),
term
array_const_1D0 : 1.0, array(array_const_2D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term),
term
array_const_2D0 : 2.0, 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_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 : - 2.0, x_end : 1.0,
1
array_y_init : exact_soln_y(x_start), glob_h : 0.1,
1 + 0
glob_look_poles : true, glob_max_iter : 50, 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 : false,
1, 1 1, 2
array_y_set_initial : false, array_y_set_initial : false,
1, 3 1, 4
array_y_set_initial : false, array_y_set_initial : false,
1, 5 1, 6
array_y_set_initial : false, array_y_set_initial : false,
1, 7 1, 8
array_y_set_initial : false, array_y_set_initial : false,
1, 9 1, 10
array_y_set_initial : false, array_y_set_initial : false,
1, 11 1, 12
array_y_set_initial : false, array_y_set_initial : false,
1, 13 1, 14
array_y_set_initial : false, array_y_set_initial : false,
1, 15 1, 16
array_y_set_initial : false, array_y_set_initial : false,
1, 17 1, 18
array_y_set_initial : false, array_y_set_initial : false,
1, 19 1, 20
array_y_set_initial : false, array_y_set_initial : false,
1, 21 1, 22
array_y_set_initial : false, array_y_set_initial : false,
1, 23 1, 24
array_y_set_initial : false, array_y_set_initial : false,
1, 25 1, 26
array_y_set_initial : false, array_y_set_initial : false,
1, 27 1, 28
array_y_set_initial : false, array_y_set_initial : false,
1, 29 1, 30
if glob_html_log then html_log_file : openw("html/entry.html"),
omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
term_no - 1
array_y_init glob_h
term_no
-------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
term_no - 1
array_y_init glob_h
it
array_y_higher : --------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(), start_array_y(),
if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, log10norm : log10(tmp),
! 1, 1!
if log10norm < glob_log10normmin then glob_log10normmin : log10norm),
display_alot(current_iter), glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "),
glob_reached_optimal_h : true, glob_optimal_clock_start_sec :
elapsed_time_seconds(), while (glob_current_iter < glob_max_iter)
and (array_x <= x_end) and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
1
convfloat(glob_max_sec)) do (omniout_str
(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop"),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
if glob_look_poles then check_for_pole(), array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 1, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 2, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, ord : 1, calc_term : 1, iii : glob_max_terms,
convfp(calc_term - 1)!
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
--------------------
calc_term - 1
glob_h
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
calc_term - 1
temp_sum glob_h
----------------------------, term_no : glob_max_terms,
convfp(calc_term - 1)!
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1),
ord, term_no
display_alot(current_iter)), omniout_str(ALWAYS, "Finished!"),
if glob_iter >= glob_max_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(glob_max_sec) then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 )\
= m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"),
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,
"2012-06-13T18:44:15-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sing4"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"),
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, "sing4 diffeq.max"), logitem_str(html_log_file, "sing4 maxima results"),
logitem_str(html_log_file,
"Test of revised logic - mostly affecting systems of eqs"),
logend(html_log_file)), if glob_html_log then close(html_log_file))
(%i51) mainprog()
"##############ECHO OF PROBLEM#################"
"##############temp/sing4postode.ode#################"
"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits : 50,"
"max_terms : 30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start : -2.0,"
"x_end : 1.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_h : 0.1,"
"glob_look_poles : true,"
"glob_max_iter : 50,"
"/* 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) := ("
"1.0 / (x * x + 1.0) "
");"
""
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
x[1] = -2. " "
y[1] (analytic) = 0.2 " "
y[1] (numeric) = 0.2 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2590374448964488 " "
Order of pole = 3.5716028840313676 " "
x[1] = -1.9999 " "
y[1] (analytic) = 0.2000160008800384 " "
y[1] (numeric) = 0.2000160008800384 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2589443147775454 " "
Order of pole = 3.571562794485928 " "
x[1] = -1.9998 " "
y[1] (analytic) = 0.20003200352030723 " "
y[1] (numeric) = 0.20003200352030723 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2588511841606955 " "
Order of pole = 3.571522687492916 " "
x[1] = -1.9997 " "
y[1] (analytic) = 0.2000480079210369 " "
y[1] (numeric) = 0.2000480079210369 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2587580530494344 " "
Order of pole = 3.571482563098428 " "
x[1] = -1.9996 " "
y[1] (analytic) = 0.20006401408245794 " "
y[1] (numeric) = 0.20006401408245794 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.258664921447164 " "
Order of pole = 3.571442421346635 " "
x[1] = -1.9995 " "
y[1] (analytic) = 0.2000800220048008 " "
y[1] (numeric) = 0.20008002200480082 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.387223738658072400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2585717893574135 " "
Order of pole = 3.5714022622835806 " "
x[1] = -1.9994 " "
y[1] (analytic) = 0.2000960316882961 " "
y[1] (numeric) = 0.2000960316882961 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.258478656783206 " "
Order of pole = 3.571362085948028 " "
x[1] = -1.9993 " "
y[1] (analytic) = 0.20011204313317432 " "
y[1] (numeric) = 0.20011204313317435 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.387001760666528900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2583855237283452 " "
Order of pole = 3.5713218923899106 " "
x[1] = -1.9992 " "
y[1] (analytic) = 0.20012805633966618 " "
y[1] (numeric) = 0.20012805633966618 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2582923901957823 " "
Order of pole = 3.571281681647008 " "
x[1] = -1.9991 " "
y[1] (analytic) = 0.20014407130800219 " "
y[1] (numeric) = 0.2001440713080022 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386779804879445800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.258199256189261 " "
Order of pole = 3.5712414537683763 " "
x[1] = -1.999 " "
y[1] (analytic) = 0.2001600880384131 " "
y[1] (numeric) = 0.20016008803841312 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386668835312577000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2581061217124256 " "
Order of pole = 3.571201208801682 " "
x[1] = -1.9989000000000001 " "
y[1] (analytic) = 0.2001761065311296 " "
y[1] (numeric) = 0.2001761065311296 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2580129867681973 " "
Order of pole = 3.5711609467842536 " "
x[1] = -1.9988000000000001 " "
y[1] (analytic) = 0.20019212678638237 " "
y[1] (numeric) = 0.2001921267863824 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386446912832184600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.25791985135981 " "
Order of pole = 3.5711206677578957 " "
x[1] = -1.9987000000000001 " "
y[1] (analytic) = 0.20020814880440224 " "
y[1] (numeric) = 0.20020814880440227 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386335959918661200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.257826715491365 " "
Order of pole = 3.5710803717768087 " "
x[1] = -1.9986000000000002 " "
y[1] (analytic) = 0.20022417258541997 " "
y[1] (numeric) = 0.20022417258542 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386225012556252800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2577335791657847 " "
Order of pole = 3.571040058878328 " "
x[1] = -1.9985000000000002 " "
y[1] (analytic) = 0.2002401981296664 " "
y[1] (numeric) = 0.20024019812966642 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386114070744959600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2576404423869283 " "
Order of pole = 3.570999729113197 " "
x[1] = -1.9984000000000002 " "
y[1] (analytic) = 0.20025622543737237 " "
y[1] (numeric) = 0.2002562254373724 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.386003134484781500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.257547305157139 " "
Order of pole = 3.5709593825105053 " "
x[1] = -1.9983000000000002 " "
y[1] (analytic) = 0.2002722545087688 " "
y[1] (numeric) = 0.20027225450876882 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.385892203775718500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.257454167481154 " "
Order of pole = 3.570919019133516 " "
x[1] = -1.9982000000000002 " "
y[1] (analytic) = 0.20028828534408655 " "
y[1] (numeric) = 0.20028828534408658 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.385781278617770600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.257361029361915 " "
Order of pole = 3.570878639019874 " "
x[1] = -1.9981000000000002 " "
y[1] (analytic) = 0.20030431794355663 " "
y[1] (numeric) = 0.20030431794355663 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.257267890802185 " "
Order of pole = 3.5708382422046547 " "
x[1] = -1.9980000000000002 " "
y[1] (analytic) = 0.20032035230740997 " "
y[1] (numeric) = 0.20032035230741 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.385559444955220300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2571747518062675 " "
Order of pole = 3.5707978287449293 " "
x[1] = -1.9979000000000002 " "
y[1] (analytic) = 0.20033638843587764 " "
y[1] (numeric) = 0.20033638843587764 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.257081612377275 " "
Order of pole = 3.5707573986808008 " "
x[1] = -1.9978000000000002 " "
y[1] (analytic) = 0.20035242632919065 " "
y[1] (numeric) = 0.20035242632919065 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.256988472518681 " "
Order of pole = 3.5707169520574773 " "
x[1] = -1.9977000000000003 " "
y[1] (analytic) = 0.2003684659875801 " "
y[1] (numeric) = 0.2003684659875801 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2568953322337797 " "
Order of pole = 3.570676488917634 " "
x[1] = -1.9976000000000003 " "
y[1] (analytic) = 0.20038450741127706 " "
y[1] (numeric) = 0.20038450741127709 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.385115844243501300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.256802191525822 " "
Order of pole = 3.5706360093033354 " "
x[1] = -1.9975000000000003 " "
y[1] (analytic) = 0.20040055060051273 " "
y[1] (numeric) = 0.20040055060051273 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.256709050398781 " "
Order of pole = 3.5705955132669693 " "
x[1] = -1.9974000000000003 " "
y[1] (analytic) = 0.20041659555551825 " "
y[1] (numeric) = 0.20041659555551825 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2566159088555766 " "
Order of pole = 3.570555000845836 " "
x[1] = -1.9973000000000003 " "
y[1] (analytic) = 0.2004326422765248 " "
y[1] (numeric) = 0.20043264227652483 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.384783201996420700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2565227668998 " "
Order of pole = 3.570514472086849 " "
x[1] = -1.9972000000000003 " "
y[1] (analytic) = 0.20044869076376365 " "
y[1] (numeric) = 0.20044869076376368 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.38467233234962400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.256429624534799 " "
Order of pole = 3.570473927033472 " "
x[1] = -1.9971000000000003 " "
y[1] (analytic) = 0.20046474101746606 " "
y[1] (numeric) = 0.20046474101746609 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.384561468253942600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2563364817643596 " "
Order of pole = 3.5704333657354077 " "
x[1] = -1.9970000000000003 " "
y[1] (analytic) = 0.20048079303786334 " "
y[1] (numeric) = 0.20048079303786337 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.38445060970937600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.256243338591613 " "
Order of pole = 3.5703927882329936 " "
x[1] = -1.9969000000000003 " "
y[1] (analytic) = 0.20049684682518681 " "
y[1] (numeric) = 0.20049684682518684 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.384339756715924600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.25615019501973 " "
Order of pole = 3.570352194567157 " "
x[1] = -1.9968000000000004 " "
y[1] (analytic) = 0.20051290237966782 " "
y[1] (numeric) = 0.20051290237966785 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.384228909273588800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.256057051052886 " "
Order of pole = 3.5703115847931635 " "
x[1] = -1.9967000000000004 " "
y[1] (analytic) = 0.20052895970153778 " "
y[1] (numeric) = 0.2005289597015378 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.384118067382367500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.255963906694132 " "
Order of pole = 3.570270958950225 " "
x[1] = -1.9966000000000004 " "
y[1] (analytic) = 0.2005450187910281 " "
y[1] (numeric) = 0.20054501879102812 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.384007231042261600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2558707619466123 " "
Order of pole = 3.5702303170788774 " "
x[1] = -1.9965000000000004 " "
y[1] (analytic) = 0.20056107964837022 " "
y[1] (numeric) = 0.20056107964837028 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.76779280050654200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.255777616814318 " "
Order of pole = 3.5701896592317617 " "
x[1] = -1.9964000000000004 " "
y[1] (analytic) = 0.20057714227379572 " "
y[1] (numeric) = 0.20057714227379575 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.383785575015395200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2556844712999125 " "
Order of pole = 3.5701489854425574 " "
x[1] = -1.9963000000000004 " "
y[1] (analytic) = 0.20059320666753597 " "
y[1] (numeric) = 0.20059320666753605 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.15102426598590500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.255591325408067 " "
Order of pole = 3.5701082957736148 " "
x[1] = -1.9962000000000004 " "
y[1] (analytic) = 0.20060927282982266 " "
y[1] (numeric) = 0.20060927282982272 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.76712788238597900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.255498179140897 " "
Order of pole = 3.570067590250794 " "
x[1] = -1.9961000000000004 " "
y[1] (analytic) = 0.2006253407608873 " "
y[1] (numeric) = 0.20062534076088737 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.766906265216918000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2554050325027983 " "
Order of pole = 3.5700268689325156 " "
x[1] = -1.9960000000000004 " "
y[1] (analytic) = 0.2006414104609615 " "
y[1] (numeric) = 0.2006414104609616 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.150026988725132300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.255311885496508 " "
Order of pole = 3.569986131853497 " "
x[1] = -1.9959000000000005 " "
y[1] (analytic) = 0.200657481930277 " "
y[1] (numeric) = 0.20065748193027705 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.76646306418548760000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2552187381258384 " "
Order of pole = 3.5699453790638493 " "
x[1] = -1.9958000000000005 " "
y[1] (analytic) = 0.20067355516906538 " "
y[1] (numeric) = 0.2006735551690654 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.38312074016155900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2551255903946297 " "
Order of pole = 3.5699046106140635 " "
x[1] = -1.9957000000000005 " "
y[1] (analytic) = 0.20068963017755834 " "
y[1] (numeric) = 0.2006896301775584 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.766019907562979000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2550324423060197 " "
Order of pole = 3.5698638265445872 " "
x[1] = -1.9956000000000005 " "
y[1] (analytic) = 0.2007057069559877 " "
y[1] (numeric) = 0.20070570695598774 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.76579834590506900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2549392938627446 " "
Order of pole = 3.5698230268901447 " "
x[1] = -1.9955000000000005 " "
y[1] (analytic) = 0.20072178550458517 " "
y[1] (numeric) = 0.20072178550458522 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.7655767953493900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2548461450692643 " "
Order of pole = 3.569782211710077 " "
x[1] = -1.9954000000000005 " "
y[1] (analytic) = 0.20073786582358252 " "
y[1] (numeric) = 0.20073786582358263 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.53071051179188400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.254752995928889 " "
Order of pole = 3.569741381047333 " "
x[1] = -1.9953000000000005 " "
y[1] (analytic) = 0.20075394791321172 " "
y[1] (numeric) = 0.2007539479132118 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.147700591317084500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2546598464446372 " "
Order of pole = 3.5697005349406616 " "
x[1] = -1.9952000000000005 " "
y[1] (analytic) = 0.2007700317737045 " "
y[1] (numeric) = 0.20077003177370462 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.5298244205914690000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.254566696620408 " "
Order of pole = 3.5696596734413966 " "
x[1] = -1.9951000000000005 " "
y[1] (analytic) = 0.2007861174052929 " "
y[1] (numeric) = 0.20078611740529298 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.147036056223464000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.254473546459299 " "
Order of pole = 3.569618796589431 " "
x[1] = -1.9950000000000006 " "
y[1] (analytic) = 0.2008022048082087 " "
y[1] (numeric) = 0.20080220480820882 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.52893841820889700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2543803959649518 " "
Order of pole = 3.5695779044324247 " "
x[1] = -1.9949000000000006 " "
y[1] (analytic) = 0.20081829398268397 " "
y[1] (numeric) = 0.20081829398268408 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.52849545032430200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.254287245140483 " "
Order of pole = 3.569536997010548 " "
x[1] = -1.9948000000000006 " "
y[1] (analytic) = 0.20083438492895064 " "
y[1] (numeric) = 0.20083438492895075 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.52805250464416800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2541940939900877 " "
Order of pole = 3.569496074379366 " "
x[1] = -1.9947000000000006 " "
y[1] (analytic) = 0.2008504776472408 " "
y[1] (numeric) = 0.2008504776472409 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.52760958116849300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.254100942517016 " "
Order of pole = 3.5694551365809737 " "
x[1] = -1.9946000000000006 " "
y[1] (analytic) = 0.20086657213778641 " "
y[1] (numeric) = 0.20086657213778655 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 6.90895834987160100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2540077907242217 " "
Order of pole = 3.56941418365318 " "
x[1] = -1.9945000000000006 " "
y[1] (analytic) = 0.2008826684008197 " "
y[1] (numeric) = 0.2008826684008198 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.526723800830526000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.253914638615238 " "
Order of pole = 3.5693732156421376 " "
x[1] = -1.9944000000000006 " "
y[1] (analytic) = 0.20089876643657267 " "
y[1] (numeric) = 0.20089876643657278 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.526280943968234000000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.253821486194329 " "
Order of pole = 3.5693322326043955 " "
x[1] = -1.9943000000000006 " "
y[1] (analytic) = 0.20091486624527752 " "
y[1] (numeric) = 0.20091486624527763 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.52583810931040100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2537283334643217 " "
Order of pole = 3.569291234575985 " "
x[1] = -1.9942000000000006 " "
y[1] (analytic) = 0.2009309678271664 " "
y[1] (numeric) = 0.20093096782716655 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 6.90674412107128800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2536351804288333 " "
Order of pole = 3.5692502216042463 " "
x[1] = -1.9941000000000006 " "
y[1] (analytic) = 0.2009470711824716 " "
y[1] (numeric) = 0.20094707118247174 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 6.90619063326014900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.253542027091171 " "
Order of pole = 3.56920919373205 " "
x[1] = -1.9940000000000007 " "
y[1] (analytic) = 0.2009631763114253 " "
y[1] (numeric) = 0.20096317631142543 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 6.90563717320458500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2534488734550213 " "
Order of pole = 3.569168151007741 " "
x[1] = -1.9939000000000007 " "
y[1] (analytic) = 0.2009792832142598 " "
y[1] (numeric) = 0.20097928321425995 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 6.90508374090459700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2533557195238525 " "
Order of pole = 3.569127093476485 " "
x[1] = -1.9938000000000007 " "
y[1] (analytic) = 0.2009953918912074 " "
y[1] (numeric) = 0.20099539189120758 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 8.28543640363222300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.253262565301109 " "
Order of pole = 3.569086021183182 " "
x[1] = -1.9937000000000007 " "
y[1] (analytic) = 0.20101150234250048 " "
y[1] (numeric) = 0.20101150234250065 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 8.2847723514856200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2531694107902625 " "
Order of pole = 3.5690449341730535 " "
x[1] = -1.9936000000000007 " "
y[1] (analytic) = 0.20102761456837143 " "
y[1] (numeric) = 0.20102761456837157 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 6.90342361053808800000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2530762559946083 " "
Order of pole = 3.569003832488864 " "
x[1] = -1.9935000000000007 " "
y[1] (analytic) = 0.20104372856905256 " "
y[1] (numeric) = 0.20104372856905273 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 8.28344434711248200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2529831009181627 " "
Order of pole = 3.568962716183602 " "
x[1] = -1.9934000000000007 " "
y[1] (analytic) = 0.20105984434477636 " "
y[1] (numeric) = 0.20105984434477656 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.6632437940336100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2528899455639286 " "
Order of pole = 3.5689215852958647 " "
x[1] = -1.9933000000000007 " "
y[1] (analytic) = 0.20107596189577534 " "
y[1] (numeric) = 0.20107596189577553 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.66246922196046200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2527967899352355 " "
Order of pole = 3.568880439868863 " "
x[1] = -1.9932000000000007 " "
y[1] (analytic) = 0.20109208122228198 " "
y[1] (numeric) = 0.20109208122228214 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 8.28145259035295900000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2527036340365147 " "
Order of pole = 3.5688392799615585 " "
x[1] = -1.9931000000000008 " "
y[1] (analytic) = 0.20110820232452872 " "
y[1] (numeric) = 0.20110820232452895 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10410516507286690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2526104778699647 " "
Order of pole = 3.568798105601026 " "
x[1] = -1.9930000000000008 " "
y[1] (analytic) = 0.20112432520274826 " "
y[1] (numeric) = 0.20112432520274848 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10401665587289780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2525173214399303 " "
Order of pole = 3.5687569168450075 " "
x[1] = -1.9929000000000008 " "
y[1] (analytic) = 0.20114044985717316 " "
y[1] (numeric) = 0.20114044985717336 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.6593713222459300000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.252424164749769 " "
Order of pole = 3.568715713737113 " "
x[1] = -1.9928000000000008 " "
y[1] (analytic) = 0.20115657628803604 " "
y[1] (numeric) = 0.2011565762880362 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 8.27879738096726500000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2523310078029994 " "
Order of pole = 3.5686744963232826 " "
x[1] = -1.9927000000000008 " "
y[1] (analytic) = 0.2011727044955695 " "
y[1] (numeric) = 0.20117270449556968 " "
absolute error = 1.66533453693773480000000000000000E-16 " "
relative error = 8.2781336618875690000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.252237850603072 " "
Order of pole = 3.568633264648483 " "
x[1] = -1.9926000000000008 " "
y[1] (analytic) = 0.2011888344800063 " "
y[1] (numeric) = 0.2011888344800065 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.65704830546699200000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2521446931532174 " "
Order of pole = 3.568592018754533 " "
x[1] = -1.9925000000000008 " "
y[1] (analytic) = 0.20120496624157913 " "
y[1] (numeric) = 0.20120496624157932 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.65627404425629100000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2520515354572486 " "
Order of pole = 3.5685507586915755 " "
x[1] = -1.9924000000000008 " "
y[1] (analytic) = 0.20122109978052077 " "
y[1] (numeric) = 0.20122109978052097 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.65549982190339700000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.251958377518809 " "
Order of pole = 3.568509484507313 " "
x[1] = -1.9923000000000008 " "
y[1] (analytic) = 0.20123723509706398 " "
y[1] (numeric) = 0.2012372350970642 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10339721581809240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2518652193408264 " "
Order of pole = 3.5684681962392766 " "
x[1] = -1.9922000000000009 " "
y[1] (analytic) = 0.20125337219144165 " "
y[1] (numeric) = 0.20125337219144185 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.65395149377102400000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2517720609275984 " "
Order of pole = 3.568426893944519 " "
x[1] = -1.9921000000000009 " "
y[1] (analytic) = 0.20126951106388652 " "
y[1] (numeric) = 0.20126951106388674 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10322027291331980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2516789022816996 " "
Order of pole = 3.5683855776554765 " "
x[1] = -1.9920000000000009 " "
y[1] (analytic) = 0.20128565171463156 " "
y[1] (numeric) = 0.20128565171463178 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10313180812227140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.251585743407272 " "
Order of pole = 3.5683442474270137 " "
x[1] = -1.991900000000001 " "
y[1] (analytic) = 0.20130179414390964 " "
y[1] (numeric) = 0.20130179414390986 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10304334777211550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2514925843076874 " "
Order of pole = 3.5683029033029925 " "
x[1] = -1.991800000000001 " "
y[1] (analytic) = 0.20131793835195372 " "
y[1] (numeric) = 0.20131793835195394 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10295489186285140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2513994249863587 " "
Order of pole = 3.5682615453278217 " "
x[1] = -1.991700000000001 " "
y[1] (analytic) = 0.20133408433899674 " "
y[1] (numeric) = 0.201334084338997 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.24072474544378970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2513062654468174 " "
Order of pole = 3.568220173547651 " "
x[1] = -1.991600000000001 " "
y[1] (analytic) = 0.2013502321052718 " "
y[1] (numeric) = 0.20135023210527203 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10277799336699980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2512131056929876 " "
Order of pole = 3.5681787880142117 " "
x[1] = -1.991500000000001 " "
y[1] (analytic) = 0.2013663816510119 " "
y[1] (numeric) = 0.2013663816510121 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 9.64853356932860600000000000000E-14 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.251119945727694 " "
Order of pole = 3.5681373887635353 " "
x[1] = -1.991400000000001 " "
y[1] (analytic) = 0.20138253297645003 " "
y[1] (numeric) = 0.20138253297645026 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10260111263471660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2510267855550206 " "
Order of pole = 3.5680959758496584 " "
x[1] = -1.991300000000001 " "
y[1] (analytic) = 0.2013986860818194 " "
y[1] (numeric) = 0.20139868608181963 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.1025126789299130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2509336251780794 " "
Order of pole = 3.5680545493127127 " "
x[1] = -1.991200000000001 " "
y[1] (analytic) = 0.2014148409673531 " "
y[1] (numeric) = 0.20141484096735335 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.2402272808742520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.250840464600652 " "
Order of pole = 3.5680131092024254 " "
x[1] = -1.991100000000001 " "
y[1] (analytic) = 0.20143099763328431 " "
y[1] (numeric) = 0.20143099763328456 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.2401278029483550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2507473038260954 " "
Order of pole = 3.5679716555624275 " "
x[1] = -1.991000000000001 " "
y[1] (analytic) = 0.20144715607984626 " "
y[1] (numeric) = 0.20144715607984648 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10224740446085500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2506541428578903 " "
Order of pole = 3.567930188438133 " "
x[1] = -1.990900000000001 " "
y[1] (analytic) = 0.20146331630727213 " "
y[1] (numeric) = 0.20146331630727235 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.10215898851962000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.250560981699891 " "
Order of pole = 3.567888707880293 " "
x[1] = -1.990800000000001 " "
y[1] (analytic) = 0.20147947831579516 " "
y[1] (numeric) = 0.2014794783157954 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.23982939914668670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2504678203550643 " "
Order of pole = 3.5678472139270063 " "
x[1] = -1.990700000000001 " "
y[1] (analytic) = 0.20149564210564871 " "
y[1] (numeric) = 0.20149564210564896 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.23972994120480450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.250374658827274 " "
Order of pole = 3.567805706629116 " "
x[1] = -1.990600000000001 " "
y[1] (analytic) = 0.2015118076770661 " "
y[1] (numeric) = 0.20151180767706636 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.23963048825892580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.250281497120496 " "
Order of pole = 3.567764186039174 " "
x[1] = -1.990500000000001 " "
y[1] (analytic) = 0.20152797503028066 " "
y[1] (numeric) = 0.20152797503028094 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37725671145450100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2501883352371768 " "
Order of pole = 3.5677226521877685 " "
x[1] = -1.990400000000001 " "
y[1] (analytic) = 0.20154414416552582 " "
y[1] (numeric) = 0.20154414416552607 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.23943159735517950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.25009517318182 " "
Order of pole = 3.56768110513498 " "
x[1] = -1.990300000000001 " "
y[1] (analytic) = 0.20156031508303493 " "
y[1] (numeric) = 0.2015603150830352 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37703573266367980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2500020109574996 " "
Order of pole = 3.5676395449203966 " "
x[1] = -1.990200000000001 " "
y[1] (analytic) = 0.20157648778304155 " "
y[1] (numeric) = 0.2015764877830418 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.23923272643544730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2499088485679204 " "
Order of pole = 3.5675979715926545 " "
x[1] = -1.990100000000001 " "
y[1] (analytic) = 0.20159266226577907 " "
y[1] (numeric) = 0.20159266226577932 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 1.23913329846958690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.249815686016328 " "
Order of pole = 3.5675563851938144 " "
x[1] = -1.990000000000001 " "
y[1] (analytic) = 0.20160883853148104 " "
y[1] (numeric) = 0.20160883853148132 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.3767043061108110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2497225233066844 " "
Order of pole = 3.567514785776183 " "
x[1] = -1.9899000000000011 " "
y[1] (analytic) = 0.20162501658038104 " "
y[1] (numeric) = 0.20162501658038132 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37659384169541850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.249629360441875 " "
Order of pole = 3.5674731733766833 " "
x[1] = -1.9898000000000011 " "
y[1] (analytic) = 0.20164119641271258 " "
y[1] (numeric) = 0.2016411964127129 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5141317211142550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2495361974263006 " "
Order of pole = 3.567431548053886 " "
x[1] = -1.9897000000000011 " "
y[1] (analytic) = 0.20165737802870937 " "
y[1] (numeric) = 0.20165737802870967 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51401022246977630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2494430342629514 " "
Order of pole = 3.56738990984622 " "
x[1] = -1.9896000000000011 " "
y[1] (analytic) = 0.20167356142860499 " "
y[1] (numeric) = 0.2016735614286053 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51388872993152430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2493498709553816 " "
Order of pole = 3.5673482588001733 " "
x[1] = -1.9895000000000012 " "
y[1] (analytic) = 0.20168974661263314 " "
y[1] (numeric) = 0.20168974661263342 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.3761520395449990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.249256707507125 " "
Order of pole = 3.5673065949619236 " "
x[1] = -1.9894000000000012 " "
y[1] (analytic) = 0.20170593358102748 " "
y[1] (numeric) = 0.20170593358102779 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51364576317370020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.249163543922136 " "
Order of pole = 3.5672649183836853 " "
x[1] = -1.9893000000000012 " "
y[1] (analytic) = 0.20172212233402181 " "
y[1] (numeric) = 0.20172212233402212 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51352428895412840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.24907038020345 " "
Order of pole = 3.567223229104531 " "
x[1] = -1.9892000000000012 " "
y[1] (analytic) = 0.20173831287184993 " "
y[1] (numeric) = 0.2017383128718502 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37582074621889340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2489772163545085 " "
Order of pole = 3.567181527169332 " "
x[1] = -1.9891000000000012 " "
y[1] (analytic) = 0.20175450519474555 " "
y[1] (numeric) = 0.20175450519474583 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37571032621242180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2488840523793723 " "
Order of pole = 3.567139812631833 " "
x[1] = -1.9890000000000012 " "
y[1] (analytic) = 0.20177069930294256 " "
y[1] (numeric) = 0.20177069930294286 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51315990293277200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2487908882813668 " "
Order of pole = 3.567098085535225 " "
x[1] = -1.9889000000000012 " "
y[1] (analytic) = 0.20178689519667484 " "
y[1] (numeric) = 0.20178689519667514 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51303845313810600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2486977240639203 " "
Order of pole = 3.5670563459242324 " "
x[1] = -1.9888000000000012 " "
y[1] (analytic) = 0.2018030928761763 " "
y[1] (numeric) = 0.20180309287617657 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37537909949969730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.248604559730944 " "
Order of pole = 3.5670145938504376 " "
x[1] = -1.9887000000000012 " "
y[1] (analytic) = 0.20181929234168075 " "
y[1] (numeric) = 0.20181929234168108 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.65032244203722400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2485113952853615 " "
Order of pole = 3.566972829351325 " "
x[1] = -1.9886000000000013 " "
y[1] (analytic) = 0.20183549359342234 " "
y[1] (numeric) = 0.20183549359342265 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51267414039146920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2484182307312492 " "
Order of pole = 3.5669310524808466 " "
x[1] = -1.9885000000000013 " "
y[1] (analytic) = 0.20185169663163494 " "
y[1] (numeric) = 0.20185169663163524 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51255271502171020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2483250660720193 " "
Order of pole = 3.5668892632834712 " "
x[1] = -1.9884000000000013 " "
y[1] (analytic) = 0.20186790145655262 " "
y[1] (numeric) = 0.20186790145655292 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5124312957581781000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2482319013113625 " "
Order of pole = 3.5668474618076687 " "
x[1] = -1.9883000000000013 " "
y[1] (analytic) = 0.20188410806840942 " "
y[1] (numeric) = 0.20188410806840973 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51230988260087200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.24813873645273 " "
Order of pole = 3.566805648098452 " "
x[1] = -1.9882000000000013 " "
y[1] (analytic) = 0.20190031646743947 " "
y[1] (numeric) = 0.20190031646743975 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37471679595435710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2480455714989778 " "
Order of pole = 3.566763822192346 " "
x[1] = -1.9881000000000013 " "
y[1] (analytic) = 0.2019165266538768 " "
y[1] (numeric) = 0.20191652665387713 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64952771775084440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.247952406454745 " "
Order of pole = 3.5667219841513678 " "
x[1] = -1.9880000000000013 " "
y[1] (analytic) = 0.20193273862795566 " "
y[1] (numeric) = 0.201932738627956 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64939528701779830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.247859241323434 " "
Order of pole = 3.5666801340198298 " "
x[1] = -1.9879000000000013 " "
y[1] (analytic) = 0.20194895238991023 " "
y[1] (numeric) = 0.20194895238991056 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.649262862946089800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2477660761079026 " "
Order of pole = 3.566638271834311 " "
x[1] = -1.9878000000000013 " "
y[1] (analytic) = 0.2019651679399747 " "
y[1] (numeric) = 0.20196516793997504 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64913044553571970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.247672910812415 " "
Order of pole = 3.566596397651452 " "
x[1] = -1.9877000000000014 " "
y[1] (analytic) = 0.20198138527838333 " "
y[1] (numeric) = 0.20198138527838366 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64899803478668780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2475797454398423 " "
Order of pole = 3.5665545115080164 " "
x[1] = -1.9876000000000014 " "
y[1] (analytic) = 0.20199760440537037 " "
y[1] (numeric) = 0.20199760440537073 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.78627109992391040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2474865799945642 " "
Order of pole = 3.5665126134622867 " "
x[1] = -1.9875000000000014 " "
y[1] (analytic) = 0.2020138253211702 " "
y[1] (numeric) = 0.20201382532117054 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64873323327263840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2473934144793537 " "
Order of pole = 3.5664707035496406 " "
x[1] = -1.9874000000000014 " "
y[1] (analytic) = 0.20203004802601712 " "
y[1] (numeric) = 0.20203004802601746 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6486008425076210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2473002488984566 " "
Order of pole = 3.5664287818264455 " "
x[1] = -1.9873000000000014 " "
y[1] (analytic) = 0.20204627252014548 " "
y[1] (numeric) = 0.20204627252014584 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.78584082993760380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.247207083255076 " "
Order of pole = 3.5663868483342114 " "
x[1] = -1.9872000000000014 " "
y[1] (analytic) = 0.2020624988037898 " "
y[1] (numeric) = 0.20206249880379012 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64833608096160040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2471139175528116 " "
Order of pole = 3.5663449031201147 " "
x[1] = -1.9871000000000014 " "
y[1] (analytic) = 0.20207872687718442 " "
y[1] (numeric) = 0.20207872687718473 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5108534009988808000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2470207517954717 " "
Order of pole = 3.5663029462342983 " "
x[1] = -1.9870000000000014 " "
y[1] (analytic) = 0.20209495674056382 " "
y[1] (numeric) = 0.20209495674056413 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.51073206722252160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2469275859861897 " "
Order of pole = 3.566260977717267 " "
x[1] = -1.9869000000000014 " "
y[1] (analytic) = 0.20211118839416253 " "
y[1] (numeric) = 0.20211118839416287 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6479389886026060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.246834420128677 " "
Order of pole = 3.566218997617778 " "
x[1] = -1.9868000000000015 " "
y[1] (analytic) = 0.2021274218382151 " "
y[1] (numeric) = 0.20212742183821544 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64780663780561720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2467412542265115 " "
Order of pole = 3.5661770059827234 " "
x[1] = -1.9867000000000015 " "
y[1] (analytic) = 0.2021436570729561 " "
y[1] (numeric) = 0.20214365707295642 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64767429366996700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.246648088283786 " "
Order of pole = 3.5661350028662824 " "
x[1] = -1.9866000000000015 " "
y[1] (analytic) = 0.20215989409862012 " "
y[1] (numeric) = 0.20215989409862042 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.510246793179350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2465549223031442 " "
Order of pole = 3.5660929883020067 " "
x[1] = -1.9865000000000015 " "
y[1] (analytic) = 0.20217613291544176 " "
y[1] (numeric) = 0.2021761329154421 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64740962538268060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.246461756288971 " "
Order of pole = 3.566050962348278 " "
x[1] = -1.9864000000000015 " "
y[1] (analytic) = 0.20219237352365574 " "
y[1] (numeric) = 0.20219237352365607 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64727730123104460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2463685902446406 " "
Order of pole = 3.56600892504904 " "
x[1] = -1.9863000000000015 " "
y[1] (analytic) = 0.20220861592349676 " "
y[1] (numeric) = 0.20220861592349706 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50988290176235130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2462754241734957 " "
Order of pole = 3.5659668764478134 " "
x[1] = -1.9862000000000015 " "
y[1] (analytic) = 0.2022248601151995 " "
y[1] (numeric) = 0.2022248601151998 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50976161683580470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.246182258079182 " "
Order of pole = 3.5659248165924566 " "
x[1] = -1.9861000000000015 " "
y[1] (analytic) = 0.20224110609899873 " "
y[1] (numeric) = 0.20224110609899906 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64688036874416580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.246089091965413 " "
Order of pole = 3.565882745531738 " "
x[1] = -1.9860000000000015 " "
y[1] (analytic) = 0.2022573538751293 " "
y[1] (numeric) = 0.2022573538751296 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5095190653013918000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2459959258358277 " "
Order of pole = 3.5658406633134234 " "
x[1] = -1.9859000000000016 " "
y[1] (analytic) = 0.202273603443826 " "
y[1] (numeric) = 0.20227360344382628 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.3721798169941140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2459027596936463 " "
Order of pole = 3.565798569979293 " "
x[1] = -1.9858000000000016 " "
y[1] (analytic) = 0.20228985480532363 " "
y[1] (numeric) = 0.20228985480532394 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50927653819188570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2458095935425355 " "
Order of pole = 3.5657564655774756 " "
x[1] = -1.9857000000000016 " "
y[1] (analytic) = 0.20230610795985718 " "
y[1] (numeric) = 0.20230610795985748 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50915528379647250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2457164273867067 " "
Order of pole = 3.5657143501638977 " "
x[1] = -1.9856000000000016 " "
y[1] (analytic) = 0.20232236290766148 " "
y[1] (numeric) = 0.2023223629076618 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64621894782613050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.245623261228938 " "
Order of pole = 3.5656722237740226 " "
x[1] = -1.9855000000000016 " "
y[1] (analytic) = 0.2023386196489716 " "
y[1] (numeric) = 0.2023386196489719 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50891279332432570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.245530095073499 " "
Order of pole = 3.5656300864645942 " "
x[1] = -1.9854000000000016 " "
y[1] (analytic) = 0.2023548781840224 " "
y[1] (numeric) = 0.2023548781840227 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50879155724759240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2454369289230205 " "
Order of pole = 3.5655879382689974 " "
x[1] = -1.9853000000000016 " "
y[1] (analytic) = 0.20237113851304897 " "
y[1] (numeric) = 0.20237113851304925 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.37151847934280540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.245343762782217 " "
Order of pole = 3.565545779250318 " "
x[1] = -1.9852000000000016 " "
y[1] (analytic) = 0.2023874006362863 " "
y[1] (numeric) = 0.2023874006362866 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50854910341280600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2452505966540333 " "
Order of pole = 3.5655036094464165 " "
x[1] = -1.9851000000000016 " "
y[1] (analytic) = 0.20240366455396952 " "
y[1] (numeric) = 0.20240366455396983 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50842788565475260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.245157430541971 " "
Order of pole = 3.565461428903088 " "
x[1] = -1.9850000000000017 " "
y[1] (analytic) = 0.20241993026633373 " "
y[1] (numeric) = 0.20241993026633406 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64542546254864670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.245064264449976 " "
Order of pole = 3.565419237672483 " "
x[1] = -1.9849000000000017 " "
y[1] (analytic) = 0.20243619777361413 " "
y[1] (numeric) = 0.20243619777361443 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50818546845732570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2449710983816433 " "
Order of pole = 3.565377035801724 " "
x[1] = -1.9848000000000017 " "
y[1] (analytic) = 0.2024524670760458 " "
y[1] (numeric) = 0.2024524670760461 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5080642690179522000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.24487793234065 " "
Order of pole = 3.5653348233391178 " "
x[1] = -1.9847000000000017 " "
y[1] (analytic) = 0.202468738173864 " "
y[1] (numeric) = 0.20246873817386432 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64502880983796950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.244784766330109 " "
Order of pole = 3.5652926003249306 " "
x[1] = -1.9846000000000017 " "
y[1] (analytic) = 0.202485011067304 " "
y[1] (numeric) = 0.2024850110673043 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5078218884578848000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.244691600353664 " "
Order of pole = 3.565250366807014 " "
x[1] = -1.9845000000000017 " "
y[1] (analytic) = 0.20250128575660098 " "
y[1] (numeric) = 0.2025012857566013 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6447644080042090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2445984344154137 " "
Order of pole = 3.5652081228396604 " "
x[1] = -1.9844000000000017 " "
y[1] (analytic) = 0.20251756224199033 " "
y[1] (numeric) = 0.20251756224199066 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6446322170793360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2445052685188083 " "
Order of pole = 3.5651658684679575 " "
x[1] = -1.9843000000000017 " "
y[1] (analytic) = 0.20253384052370738 " "
y[1] (numeric) = 0.20253384052370768 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50745836341448420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2444121026670554 " "
Order of pole = 3.5651236037335394 " "
x[1] = -1.9842000000000017 " "
y[1] (analytic) = 0.20255012060198743 " "
y[1] (numeric) = 0.20255012060198777 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64436785521360430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.244318936864376 " "
Order of pole = 3.565081328692475 " "
x[1] = -1.9841000000000018 " "
y[1] (analytic) = 0.20256640247706595 " "
y[1] (numeric) = 0.20256640247706628 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6442356842727460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.244225771114029 " "
Order of pole = 3.5650390433870918 " "
x[1] = -1.9840000000000018 " "
y[1] (analytic) = 0.20258268614917835 " "
y[1] (numeric) = 0.20258268614917868 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64410351999322550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.244132605419161 " "
Order of pole = 3.5649967478581743 " "
x[1] = -1.9839000000000018 " "
y[1] (analytic) = 0.2025989716185601 " "
y[1] (numeric) = 0.20259897161856044 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6439713623750430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2440394397838954 " "
Order of pole = 3.5649544421603956 " "
x[1] = -1.9838000000000018 " "
y[1] (analytic) = 0.2026152588854467 " "
y[1] (numeric) = 0.20261525888544704 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6438392114181990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2439462742120853 " "
Order of pole = 3.564912126344609 " "
x[1] = -1.9837000000000018 " "
y[1] (analytic) = 0.2026315479500737 " "
y[1] (numeric) = 0.20263154795007401 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50673147819580200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.243853108707003 " "
Order of pole = 3.5648698004533443 " "
x[1] = -1.9836000000000018 " "
y[1] (analytic) = 0.20264783881267662 " "
y[1] (numeric) = 0.20264783881267692 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5066103520311480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.24375994327239 " "
Order of pole = 3.5648274645358526 " "
x[1] = -1.9835000000000018 " "
y[1] (analytic) = 0.20266413147349105 " "
y[1] (numeric) = 0.20266413147349135 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5064892319727210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2436667779114368 " "
Order of pole = 3.5647851186335195 " "
x[1] = -1.9834000000000018 " "
y[1] (analytic) = 0.20268042593275265 " "
y[1] (numeric) = 0.20268042593275296 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50636811802052020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.243573612628189 " "
Order of pole = 3.564742762799934 " "
x[1] = -1.9833000000000018 " "
y[1] (analytic) = 0.20269672219069707 " "
y[1] (numeric) = 0.20269672219069737 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50624701017454620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2434804474263905 " "
Order of pole = 3.5647003970843905 " "
x[1] = -1.9832000000000019 " "
y[1] (analytic) = 0.20271302024756 " "
y[1] (numeric) = 0.20271302024756027 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 1.36920537130436250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.243387282309085 " "
Order of pole = 3.564658021526167 " "
x[1] = -1.9831000000000019 " "
y[1] (analytic) = 0.2027293201035771 " "
y[1] (numeric) = 0.20272932010357742 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.5060048128012782000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2432941172802963 " "
Order of pole = 3.5646156361785692 " "
x[1] = -1.9830000000000019 " "
y[1] (analytic) = 0.2027456217589842 " "
y[1] (numeric) = 0.20274562175898453 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64278224357161940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.243200952343744 " "
Order of pole = 3.564573241090521 " "
x[1] = -1.9829000000000019 " "
y[1] (analytic) = 0.20276192521401706 " "
y[1] (numeric) = 0.2027619252140174 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64265015256681860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2431077875027303 " "
Order of pole = 3.5645308363050177 " "
x[1] = -1.982800000000002 " "
y[1] (analytic) = 0.20277823046891155 " "
y[1] (numeric) = 0.20277823046891186 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 1.50564156253807600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.243014622761144 " "
Order of pole = 3.5644884218734205 " "
x[1] = -1.982700000000002 " "
y[1] (analytic) = 0.20279453752390342 " "
y[1] (numeric) = 0.20279453752390375 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6423859905412310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2429214581221433 " "
Order of pole = 3.5644459978366747 " "
x[1] = -1.982600000000002 " "
y[1] (analytic) = 0.20281084637922858 " "
y[1] (numeric) = 0.20281084637922894 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77910841281381520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.242828293589944 " "
Order of pole = 3.564403564250803 " "
x[1] = -1.982500000000002 " "
y[1] (analytic) = 0.202827157035123 " "
y[1] (numeric) = 0.20282715703512336 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77896534309107980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2427351291678885 " "
Order of pole = 3.5643611211593687 " "
x[1] = -1.982400000000002 " "
y[1] (analytic) = 0.20284346949182258 " "
y[1] (numeric) = 0.20284346949182294 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77882228058479400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.242641964859568 " "
Order of pole = 3.5643186686095127 " "
x[1] = -1.982300000000002 " "
y[1] (analytic) = 0.20285978374956332 " "
y[1] (numeric) = 0.20285978374956368 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77867922529495740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.242548800668574 " "
Order of pole = 3.5642762066483407 " "
x[1] = -1.982200000000002 " "
y[1] (analytic) = 0.2028760998085812 " "
y[1] (numeric) = 0.20287609980858157 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7785361772215710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2424556365984327 " "
Order of pole = 3.5642337353220697 " "
x[1] = -1.982100000000002 " "
y[1] (analytic) = 0.2028924176691123 " "
y[1] (numeric) = 0.20289241766911265 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6415936643365850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2423624726533387 " "
Order of pole = 3.5641912546864276 " "
x[1] = -1.982000000000002 " "
y[1] (analytic) = 0.20290873733139267 " "
y[1] (numeric) = 0.202908737331393 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64146163328382750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2422693088362182 " "
Order of pole = 3.564148764779052 " "
x[1] = -1.981900000000002 " "
y[1] (analytic) = 0.2029250587956584 " "
y[1] (numeric) = 0.20292505879565875 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7781070763001092000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.242176145151055 " "
Order of pole = 3.5641062656526685 " "
x[1] = -1.981800000000002 " "
y[1] (analytic) = 0.20294138206214568 " "
y[1] (numeric) = 0.20294138206214601 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6411975911623270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.242082981601447 " "
Order of pole = 3.5640637573545177 " "
x[1] = -1.981700000000002 " "
y[1] (analytic) = 0.2029577071310906 " "
y[1] (numeric) = 0.20295770713109096 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7778210451013830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.24198981819099 " "
Order of pole = 3.564021239931794 " "
x[1] = -1.981600000000002 " "
y[1] (analytic) = 0.20297403400272948 " "
y[1] (numeric) = 0.20297403400272981 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6409335756861790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.241896654923459 " "
Order of pole = 3.5639787134342598 " "
x[1] = -1.981500000000002 " "
y[1] (analytic) = 0.20299036267729842 " "
y[1] (numeric) = 0.20299036267729878 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77753504276845530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.241803491802122 " "
Order of pole = 3.5639361779044307 " "
x[1] = -1.981400000000002 " "
y[1] (analytic) = 0.2030066931550338 " "
y[1] (numeric) = 0.20300669315503414 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64066958685538360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2417103288307825 " "
Order of pole = 3.563893633392478 " "
x[1] = -1.981300000000002 " "
y[1] (analytic) = 0.20302302543617187 " "
y[1] (numeric) = 0.2030230254361722 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.64053760243199310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2416171660134805 " "
Order of pole = 3.5638510799519416 " "
x[1] = -1.981200000000002 " "
y[1] (analytic) = 0.20303935952094893 " "
y[1] (numeric) = 0.2030393595209493 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7771060933924360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2415240033531663 " "
Order of pole = 3.5638085176208385 " "
x[1] = -1.981100000000002 " "
y[1] (analytic) = 0.2030556954096014 " "
y[1] (numeric) = 0.20305569540960175 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7769631246999960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2414308408540657 " "
Order of pole = 3.5637659464553444 " "
x[1] = -1.981000000000002 " "
y[1] (analytic) = 0.20307203310236563 " "
y[1] (numeric) = 0.203072033102366 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7768201632240050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.241337678519432 " "
Order of pole = 3.563723366497797 " "
x[1] = -1.980900000000002 " "
y[1] (analytic) = 0.2030883725994781 " "
y[1] (numeric) = 0.20308837259947846 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7766772089644642000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2412445163529653 " "
Order of pole = 3.563680777796897 " "
x[1] = -1.9808000000000021 " "
y[1] (analytic) = 0.2031047139011752 " "
y[1] (numeric) = 0.20310471390117557 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77653426192137250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.241151354358321 " "
Order of pole = 3.563638180400698 " "
x[1] = -1.9807000000000021 " "
y[1] (analytic) = 0.2031210570076935 " "
y[1] (numeric) = 0.20312105700769387 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77639132209473080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.241058192539316 " "
Order of pole = 3.5635955743595886 " "
x[1] = -1.9806000000000021 " "
y[1] (analytic) = 0.20313740191926946 " "
y[1] (numeric) = 0.20313740191926982 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7762483894845390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2409650308997153 " "
Order of pole = 3.563552959723193 " "
x[1] = -1.9805000000000021 " "
y[1] (analytic) = 0.20315374863613964 " "
y[1] (numeric) = 0.20315374863614002 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.91272896132855030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.24087186944232 " "
Order of pole = 3.5635103365273935 " "
x[1] = -1.9804000000000022 " "
y[1] (analytic) = 0.2031700971585407 " "
y[1] (numeric) = 0.20317009715854106 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77596254591350400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.240778708171803 " "
Order of pole = 3.5634677048347676 " "
x[1] = -1.9803000000000022 " "
y[1] (analytic) = 0.20318644748670914 " "
y[1] (numeric) = 0.20318644748670955 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.0490226557146088000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.240685547091289 " "
Order of pole = 3.563425064685841 " "
x[1] = -1.9802000000000022 " "
y[1] (analytic) = 0.20320279962088175 " "
y[1] (numeric) = 0.20320279962088214 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.91226724899351890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2405923862044186 " "
Order of pole = 3.5633824161284586 " "
x[1] = -1.9801000000000022 " "
y[1] (analytic) = 0.20321915356129508 " "
y[1] (numeric) = 0.2032191535612955 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.04869288616960470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2404992255149594 " "
Order of pole = 3.5633397592123117 " "
x[1] = -1.9800000000000022 " "
y[1] (analytic) = 0.20323550930818596 " "
y[1] (numeric) = 0.20323550930818635 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.91195947962797040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2404060650263973 " "
Order of pole = 3.5632970939830493 " "
x[1] = -1.9799000000000022 " "
y[1] (analytic) = 0.2032518668617911 " "
y[1] (numeric) = 0.20325186686179145 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77524806327378520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.240312904742497 " "
Order of pole = 3.563254420490317 " "
x[1] = -1.9798000000000022 " "
y[1] (analytic) = 0.20326822622234722 " "
y[1] (numeric) = 0.20326822622234758 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77510518839519070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2402197446672165 " "
Order of pole = 3.5632117387865314 " "
x[1] = -1.9797000000000022 " "
y[1] (analytic) = 0.2032845873900912 " "
y[1] (numeric) = 0.20328458739009156 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77496232073304560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2401265848037086 " "
Order of pole = 3.563169048912595 " "
x[1] = -1.9796000000000022 " "
y[1] (analytic) = 0.20330095036525986 " "
y[1] (numeric) = 0.20330095036526025 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.9113440341556082000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.240033425155869 " "
Order of pole = 3.5631263509200117 " "
x[1] = -1.9795000000000023 " "
y[1] (analytic) = 0.2033173151480901 " "
y[1] (numeric) = 0.20331731514809048 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.91119019221642000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.239940265727055 " "
Order of pole = 3.5630836448526217 " "
x[1] = -1.9794000000000023 " "
y[1] (analytic) = 0.20333368173881883 " "
y[1] (numeric) = 0.2033336817388192 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77453376104530820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2398471065214416 " "
Order of pole = 3.5630409307659328 " "
x[1] = -1.9793000000000023 " "
y[1] (analytic) = 0.20335005013768295 " "
y[1] (numeric) = 0.2033500501376833 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77439092224896180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2397539475423303 " "
Order of pole = 3.562998208703 " "
x[1] = -1.9792000000000023 " "
y[1] (analytic) = 0.2033664203449195 " "
y[1] (numeric) = 0.20336642034491983 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6377674683099060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2396607887934943 " "
Order of pole = 3.5629554787135724 " "
x[1] = -1.9791000000000023 " "
y[1] (analytic) = 0.2033827923607654 " "
y[1] (numeric) = 0.20338279236076576 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77410526630561780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2395676302782865 " "
Order of pole = 3.5629127408414583 " "
x[1] = -1.9790000000000023 " "
y[1] (analytic) = 0.20339916618545775 " "
y[1] (numeric) = 0.2033991661854581 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77396244915862030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.23947447200083 " "
Order of pole = 3.5628699951414013 " "
x[1] = -1.9789000000000023 " "
y[1] (analytic) = 0.20341554181923363 " "
y[1] (numeric) = 0.20341554181923396 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.63737197467206700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.239381313964538 " "
Order of pole = 3.56282724165807 " "
x[1] = -1.9788000000000023 " "
y[1] (analytic) = 0.2034319192623301 " "
y[1] (numeric) = 0.20343191926233042 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.63724015678213010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.239288156173197 " "
Order of pole = 3.5627844804414224 " "
x[1] = -1.9787000000000023 " "
y[1] (analytic) = 0.2034482985149843 " "
y[1] (numeric) = 0.20344829851498464 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.63710834555353150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.239194998630111 " "
Order of pole = 3.562741711534528 " "
x[1] = -1.9786000000000024 " "
y[1] (analytic) = 0.20346467957743342 " "
y[1] (numeric) = 0.20346467957743375 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6369765409862710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2391018413394375 " "
Order of pole = 3.562698934992696 " "
x[1] = -1.9785000000000024 " "
y[1] (analytic) = 0.20348106244991465 " "
y[1] (numeric) = 0.20348106244991498 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.6368447430803490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.239008684304569 " "
Order of pole = 3.56265615086026 " "
x[1] = -1.9784000000000024 " "
y[1] (analytic) = 0.20349744713266524 " "
y[1] (numeric) = 0.20349744713266557 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 1.63671295183576450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2389155275291457 " "
Order of pole = 3.5626133591851215 " "
x[1] = -1.9783000000000024 " "
y[1] (analytic) = 0.2035138336259224 " "
y[1] (numeric) = 0.20351383362592276 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77296293119022840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.238822371016841 " "
Order of pole = 3.562570560015633 " "
x[1] = -1.9782000000000024 " "
y[1] (analytic) = 0.20353022192992348 " "
y[1] (numeric) = 0.20353022192992384 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77282017177482850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2387292147713973 " "
Order of pole = 3.562527753401149 " "
x[1] = -1.9781000000000024 " "
y[1] (analytic) = 0.2035466120449058 " "
y[1] (numeric) = 0.20354661204490615 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77267741957587800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2386360587964895 " "
Order of pole = 3.5624849393900817 " "
x[1] = -1.9780000000000024 " "
y[1] (analytic) = 0.2035630039711067 " "
y[1] (numeric) = 0.20356300397110705 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7725346745933768000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2385429030956634 " "
Order of pole = 3.5624421180289865 " "
x[1] = -1.9779000000000024 " "
y[1] (analytic) = 0.20357939770876354 " "
y[1] (numeric) = 0.20357939770876393 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90872977812173550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2384497476728327 " "
Order of pole = 3.5623992893696297 " "
x[1] = -1.9778000000000024 " "
y[1] (analytic) = 0.20359579325811386 " "
y[1] (numeric) = 0.20359579325811422 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7722492062777240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2383565925312827 " "
Order of pole = 3.562356453454882 " "
x[1] = -1.9777000000000025 " "
y[1] (analytic) = 0.203612190619395 " "
y[1] (numeric) = 0.20361219061939537 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7721064829445720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.238263437674846 " "
Order of pole = 3.562313610335387 " "
x[1] = -1.9776000000000025 " "
y[1] (analytic) = 0.20362858979284448 " "
y[1] (numeric) = 0.20362858979284487 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90826867196847550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2381702831073973 " "
Order of pole = 3.562270760062386 " "
x[1] = -1.9775000000000025 " "
y[1] (analytic) = 0.20364499077869985 " "
y[1] (numeric) = 0.20364499077870024 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.9081149854605110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.238077128832293 " "
Order of pole = 3.562227902679755 " "
x[1] = -1.9774000000000025 " "
y[1] (analytic) = 0.20366139357719865 " "
y[1] (numeric) = 0.20366139357719903 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.9079613067241080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2379839748535892 " "
Order of pole = 3.5621850382413385 " "
x[1] = -1.9773000000000025 " "
y[1] (analytic) = 0.20367779818857845 " "
y[1] (numeric) = 0.20367779818857884 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90780763575926600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.237890821174544 " "
Order of pole = 3.5621421667895703 " "
x[1] = -1.9772000000000025 " "
y[1] (analytic) = 0.2036942046130769 " "
y[1] (numeric) = 0.20369420461307727 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77139297452555740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.237797667799024 " "
Order of pole = 3.5620992883756415 " "
x[1] = -1.9771000000000025 " "
y[1] (analytic) = 0.20371061285093164 " "
y[1] (numeric) = 0.203710612850932 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77125029449110350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2377045147307655 " "
Order of pole = 3.562056403048789 " "
x[1] = -1.9770000000000025 " "
y[1] (analytic) = 0.20372702290238032 " "
y[1] (numeric) = 0.2037270229023807 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90734666949410700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.237611361973248 " "
Order of pole = 3.5620135108546727 " "
x[1] = -1.9769000000000025 " "
y[1] (analytic) = 0.20374343476766069 " "
y[1] (numeric) = 0.20374343476766107 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.907193029615509800000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2375182095306028 " "
Order of pole = 3.56197061184821 " "
x[1] = -1.9768000000000026 " "
y[1] (analytic) = 0.20375984844701048 " "
y[1] (numeric) = 0.20375984844701087 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90703939750847370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2374250574058108 " "
Order of pole = 3.5619277060679124 " "
x[1] = -1.9767000000000026 " "
y[1] (analytic) = 0.2037762639406675 " "
y[1] (numeric) = 0.20377626394066786 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.77067964651778460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.237331905603058 " "
Order of pole = 3.5618847935694973 " "
x[1] = -1.9766000000000026 " "
y[1] (analytic) = 0.2037926812488695 " "
y[1] (numeric) = 0.20379268124886987 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7705370025655790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2372387541255767 " "
Order of pole = 3.5618418743950713 " "
x[1] = -1.9765000000000026 " "
y[1] (analytic) = 0.2038091003718544 " "
y[1] (numeric) = 0.20380910037185476 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 1.7703943658298230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2371456029778907 " "
Order of pole = 3.5617989486051584 " "
x[1] = -1.9764000000000026 " "
y[1] (analytic) = 0.20382552130985998 " "
y[1] (numeric) = 0.20382552130986037 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90642494679594130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.237052452162747 " "
Order of pole = 3.561756016234959 " "
x[1] = -1.9763000000000026 " "
y[1] (analytic) = 0.20384194406312423 " "
y[1] (numeric) = 0.20384194406312464 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.04243359308576180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2369593016842315 " "
Order of pole = 3.561713077338755 " "
x[1] = -1.9762000000000026 " "
y[1] (analytic) = 0.20385836863188508 " "
y[1] (numeric) = 0.2038583686318855 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.04226903721683060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2368661515464194 " "
Order of pole = 3.561670131970679 " "
x[1] = -1.9761000000000026 " "
y[1] (analytic) = 0.20387479501638053 " "
y[1] (numeric) = 0.20387479501638092 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90596419036293370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.23677300175213 " "
Order of pole = 3.5616271801669797 " "
x[1] = -1.9760000000000026 " "
y[1] (analytic) = 0.2038912232168485 " "
y[1] (numeric) = 0.2038912232168489 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.0419399504589860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.236679852305561 " "
Order of pole = 3.56158422198353 " "
x[1] = -1.9759000000000027 " "
y[1] (analytic) = 0.20390765323352705 " "
y[1] (numeric) = 0.2039076532335275 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17789378087474480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.236586703210494 " "
Order of pole = 3.561541257470278 " "
x[1] = -1.9758000000000027 " "
y[1] (analytic) = 0.20392408506665433 " "
y[1] (numeric) = 0.20392408506665474 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.04161089700783280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.23649355447031 " "
Order of pole = 3.5614982866714904 " "
x[1] = -1.9757000000000027 " "
y[1] (analytic) = 0.20394051871646834 " "
y[1] (numeric) = 0.20394051871646876 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.04144638277226480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.236400406088822 " "
Order of pole = 3.561455309637555 " "
x[1] = -1.9756000000000027 " "
y[1] (analytic) = 0.20395695418320725 " "
y[1] (numeric) = 0.2039569541832077 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17736733532092830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2363072580698216 " "
Order of pole = 3.561412326418605 " "
x[1] = -1.9755000000000027 " "
y[1] (analytic) = 0.20397339146710927 " "
y[1] (numeric) = 0.20397339146710972 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17719187123322420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2362141104168254 " "
Order of pole = 3.5613693370608033 " "
x[1] = -1.9754000000000027 " "
y[1] (analytic) = 0.2039898305684126 " "
y[1] (numeric) = 0.203989830568413 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.9048893640238912000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.236120963133918 " "
Order of pole = 3.5613263416184324 " "
x[1] = -1.9753000000000027 " "
y[1] (analytic) = 0.20400627148735537 " "
y[1] (numeric) = 0.20400627148735578 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.0407884090967210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2360278162240212 " "
Order of pole = 3.561283340129208 " "
x[1] = -1.9752000000000027 " "
y[1] (analytic) = 0.20402271422417592 " "
y[1] (numeric) = 0.20402271422417634 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.04062393649451670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2359346696916553 " "
Order of pole = 3.561240332653629 " "
x[1] = -1.9751000000000027 " "
y[1] (analytic) = 0.20403915877911258 " "
y[1] (numeric) = 0.20403915877911297 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 1.90442884073771940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2358415235399236 " "
Order of pole = 3.5611973192320185 " "
x[1] = -1.9750000000000028 " "
y[1] (analytic) = 0.2040556051524036 " "
y[1] (numeric) = 0.204055605152404 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.0402950162701258000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2357483777727607 " "
Order of pole = 3.5611542999165025 " "
x[1] = -1.9749000000000028 " "
y[1] (analytic) = 0.20407205334428735 " "
y[1] (numeric) = 0.2040720533442878 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17613927322446940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.235655232393987 " "
Order of pole = 3.5611112747576215 " "
x[1] = -1.9748000000000028 " "
y[1] (analytic) = 0.20408850335500228 " "
y[1] (numeric) = 0.20408850335500273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.1759638713092550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2355620874068634 " "
Order of pole = 3.561068243797923 " "
x[1] = -1.9747000000000028 " "
y[1] (analytic) = 0.20410495518478677 " "
y[1] (numeric) = 0.20410495518478722 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17578847827582470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2354689428153804 " "
Order of pole = 3.5610252070903776 " "
x[1] = -1.9746000000000028 " "
y[1] (analytic) = 0.20412140883387933 " "
y[1] (numeric) = 0.20412140883387975 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.03963727574141720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2353757986233362 " "
Order of pole = 3.5609821646852104 " "
x[1] = -1.9745000000000028 " "
y[1] (analytic) = 0.20413786430251835 " "
y[1] (numeric) = 0.20413786430251882 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3114025762827117000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2352826548341467 " "
Order of pole = 3.56093911662715 " "
x[1] = -1.9744000000000028 " "
y[1] (analytic) = 0.2041543215909425 " "
y[1] (numeric) = 0.20415432159094293 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17526235246623870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.235189511451822 " "
Order of pole = 3.56089606296948 " "
x[1] = -1.9743000000000028 " "
y[1] (analytic) = 0.20417078069939015 " "
y[1] (numeric) = 0.20417078069939062 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3110299321449420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.235096368479862 " "
Order of pole = 3.560853003758176 " "
x[1] = -1.9742000000000028 " "
y[1] (analytic) = 0.2041872416281001 " "
y[1] (numeric) = 0.2041872416281005 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 2.03897966843947120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.235003225922304 " "
Order of pole = 3.560809939046848 " "
x[1] = -1.9741000000000029 " "
y[1] (analytic) = 0.20420370437731075 " "
y[1] (numeric) = 0.2042037043773112 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.1747363065927110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.234910083782141 " "
Order of pole = 3.56076686887425 " "
x[1] = -1.9740000000000029 " "
y[1] (analytic) = 0.2042201689472609 " "
y[1] (numeric) = 0.20422016894726133 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17456097573177020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2348169420636164 " "
Order of pole = 3.5607237932969724 " "
x[1] = -1.9739000000000029 " "
y[1] (analytic) = 0.20423663533818917 " "
y[1] (numeric) = 0.20423663533818961 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17438565375261380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.234723800770169 " "
Order of pole = 3.5606807123601207 " "
x[1] = -1.9738000000000029 " "
y[1] (analytic) = 0.20425310355033433 " "
y[1] (numeric) = 0.20425310355033477 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.1742103406552410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2346306599059322 " "
Order of pole = 3.560637626118684 " "
x[1] = -1.973700000000003 " "
y[1] (analytic) = 0.20426957358393508 " "
y[1] (numeric) = 0.20426957358393552 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17403503643965270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.234537519473928 " "
Order of pole = 3.56059453461188 " "
x[1] = -1.973600000000003 " "
y[1] (analytic) = 0.2042860454392302 " "
y[1] (numeric) = 0.20428604543923065 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17385974110584880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2344443794784565 " "
Order of pole = 3.560551437897061 " "
x[1] = -1.973500000000003 " "
y[1] (analytic) = 0.20430251911645855 " "
y[1] (numeric) = 0.204302519116459 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17368445465382860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2343512399228307 " "
Order of pole = 3.5605083360175627 " "
x[1] = -1.973400000000003 " "
y[1] (analytic) = 0.2043189946158589 " "
y[1] (numeric) = 0.20431899461585937 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3093535006513180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2342581008110005 " "
Order of pole = 3.5604652290258016 " "
x[1] = -1.973300000000003 " "
y[1] (analytic) = 0.20433547193767024 " "
y[1] (numeric) = 0.20433547193767068 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17333390839514170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2341649621465134 " "
Order of pole = 3.5604221169684287 " "
x[1] = -1.973200000000003 " "
y[1] (analytic) = 0.2043519510821314 " "
y[1] (numeric) = 0.20435195108213183 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17315864858847440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.234071823933269 " "
Order of pole = 3.560378999897157 " "
x[1] = -1.973100000000003 " "
y[1] (analytic) = 0.2043684320494813 " "
y[1] (numeric) = 0.20436843204948177 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.30879486001756560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2339786861747783 " "
Order of pole = 3.5603358778581367 " "
x[1] = -1.973000000000003 " "
y[1] (analytic) = 0.20438491483995896 " "
y[1] (numeric) = 0.20438491483995944 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3086086653467733000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2338855488749587 " "
Order of pole = 3.560292750903301 " "
x[1] = -1.972900000000003 " "
y[1] (analytic) = 0.2044013994538034 " "
y[1] (numeric) = 0.20440139945380387 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3084224801128760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2337924120371775 " "
Order of pole = 3.560249619076796 " "
x[1] = -1.972800000000003 " "
y[1] (analytic) = 0.20441788589125365 " "
y[1] (numeric) = 0.2044178858912541 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17245769817964670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2336992756656913 " "
Order of pole = 3.560206482435362 " "
x[1] = -1.972700000000003 " "
y[1] (analytic) = 0.20443437415254873 " "
y[1] (numeric) = 0.2044343741525492 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.308050137955770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.233606139763327 " "
Order of pole = 3.5601633410154463 " "
x[1] = -1.972600000000003 " "
y[1] (analytic) = 0.20445086423792783 " "
y[1] (numeric) = 0.2044508642379283 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.307863981032560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2335130043348848 " "
Order of pole = 3.560120194881595 " "
x[1] = -1.972500000000003 " "
y[1] (analytic) = 0.20446735614763006 " "
y[1] (numeric) = 0.2044673561476305 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17193207863176030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2334198693832255 " "
Order of pole = 3.5600770440706846 " "
x[1] = -1.972400000000003 " "
y[1] (analytic) = 0.20448384988189455 " "
y[1] (numeric) = 0.204483849881895 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17175688987936650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2333267349123114 " "
Order of pole = 3.5600338886353313 " "
x[1] = -1.972300000000003 " "
y[1] (analytic) = 0.20450034544096052 " "
y[1] (numeric) = 0.204500345440961 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.30730556688430450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.233233600926124 " "
Order of pole = 3.5599907286284065 " "
x[1] = -1.972200000000003 " "
y[1] (analytic) = 0.2045168428250672 " "
y[1] (numeric) = 0.20451684282506769 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3071194477086780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2331404674282314 " "
Order of pole = 3.5599475640968947 " "
x[1] = -1.972100000000003 " "
y[1] (analytic) = 0.20453334203445392 " "
y[1] (numeric) = 0.2045333420344544 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.30693333796994640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.233047334422045 " "
Order of pole = 3.5599043950855638 " "
x[1] = -1.972000000000003 " "
y[1] (analytic) = 0.20454984306935992 " "
y[1] (numeric) = 0.20454984306936036 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.17105622368763350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.232954201911413 " "
Order of pole = 3.5598612216453986 " "
x[1] = -1.971900000000003 " "
y[1] (analytic) = 0.20456634593002448 " "
y[1] (numeric) = 0.20456634593002496 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3065611468031710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2328610699003257 " "
Order of pole = 3.559818043829395 " "
x[1] = -1.971800000000003 " "
y[1] (analytic) = 0.20458285061668705 " "
y[1] (numeric) = 0.20458285061668754 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 2.4420441868677822000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2327679383925707 " "
Order of pole = 3.5597748616877 " "
x[1] = -1.9717000000000031 " "
y[1] (analytic) = 0.20459935712958705 " "
y[1] (numeric) = 0.20459935712958752 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3061889933839788000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2326748073913154 " "
Order of pole = 3.5597316752615846 " "
x[1] = -1.9716000000000031 " "
y[1] (analytic) = 0.20461586546896382 " "
y[1] (numeric) = 0.2046158654689643 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3060029308297260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.232581676900439 " "
Order of pole = 3.5596884846024786 " "
x[1] = -1.9715000000000031 " "
y[1] (analytic) = 0.20463237563505687 " "
y[1] (numeric) = 0.20463237563505735 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3058168777123692000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2324885469242304 " "
Order of pole = 3.55964528976768 " "
x[1] = -1.9714000000000031 " "
y[1] (analytic) = 0.20464888762810568 " "
y[1] (numeric) = 0.20464888762810615 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3056308340319082000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2323954174656553 " "
Order of pole = 3.5596020907955896 " "
x[1] = -1.9713000000000032 " "
y[1] (analytic) = 0.2046654014483498 " "
y[1] (numeric) = 0.20466540144835027 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.30544479978834230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2323022885286847 " "
Order of pole = 3.559558887738966 " "
x[1] = -1.9712000000000032 " "
y[1] (analytic) = 0.20468191709602873 " "
y[1] (numeric) = 0.20468191709602923 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 2.4408622323335360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.232209160117258 " "
Order of pole = 3.559515680650101 " "
x[1] = -1.9711000000000032 " "
y[1] (analytic) = 0.20469843457138218 " "
y[1] (numeric) = 0.20469843457138265 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3050727596118980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2321160322349063 " "
Order of pole = 3.5594724695754927 " "
x[1] = -1.9710000000000032 " "
y[1] (analytic) = 0.20471495387464966 " "
y[1] (numeric) = 0.2047149538746501 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.1693051799331950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.232022904885592 " "
Order of pole = 3.559429254567771 " "
x[1] = -1.9709000000000032 " "
y[1] (analytic) = 0.20473147500607083 " "
y[1] (numeric) = 0.2047314750060713 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.30470075718303750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2319297780724576 " "
Order of pole = 3.5593860356678704 " "
x[1] = -1.9708000000000032 " "
y[1] (analytic) = 0.20474799796588544 " "
y[1] (numeric) = 0.20474799796588591 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.304514770123950200000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2318366517998225 " "
Order of pole = 3.559342812933526 " "
x[1] = -1.9707000000000032 " "
y[1] (analytic) = 0.20476452275433318 " "
y[1] (numeric) = 0.20476452275433366 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3043287925017591000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.23174352607108 " "
Order of pole = 3.5592995864092707 " "
x[1] = -1.9706000000000032 " "
y[1] (analytic) = 0.2047810493716538 " "
y[1] (numeric) = 0.20478104937165428 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.3041428243164630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2316504008902416 " "
Order of pole = 3.559256356148456 " "
x[1] = -1.9705000000000032 " "
y[1] (analytic) = 0.2047975778180871 " "
y[1] (numeric) = 0.20479757781808758 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 2.30395686556806340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2315572762608933 " "
Order of pole = 3.5592131221983365 " "
x[1] = -1.9704000000000033 " "
y[1] (analytic) = 0.20481410809387288 " "
y[1] (numeric) = 0.20481410809387338 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 2.4392868525069453000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2314641521866547 " "
Order of pole = 3.5591698846066855 " "
x[1] = -1.9703000000000033 " "
y[1] (analytic) = 0.20483064019925099 " "
y[1] (numeric) = 0.2048306401992515 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5745949736033570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.231371028671239 " "
Order of pole = 3.559126643422598 " "
x[1] = -1.9702000000000033 " "
y[1] (analytic) = 0.20484717413446138 " "
y[1] (numeric) = 0.20484717413446188 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 2.43889310747036960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2312779057184784 " "
Order of pole = 3.559083398696867 " "
x[1] = -1.9701000000000033 " "
y[1] (analytic) = 0.20486370989974384 " "
y[1] (numeric) = 0.20486370989974437 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5741793749367650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.231184783332158 " "
Order of pole = 3.559040150479632 " "
x[1] = -1.9700000000000033 " "
y[1] (analytic) = 0.20488024749533842 " "
y[1] (numeric) = 0.20488024749533895 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5739715914241470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2310916615158565 " "
Order of pole = 3.5589968988180587 " "
x[1] = -1.9699000000000033 " "
y[1] (analytic) = 0.20489678692148505 " "
y[1] (numeric) = 0.2048967869214856 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.7092250720617350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.230998540273315 " "
Order of pole = 3.558953643761658 " "
x[1] = -1.9698000000000033 " "
y[1] (analytic) = 0.20491332817842384 " "
y[1] (numeric) = 0.20491332817842434 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 2.43810573730130570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.230905419608663 " "
Order of pole = 3.5589103853654827 " "
x[1] = -1.9697000000000033 " "
y[1] (analytic) = 0.20492987126639467 " "
y[1] (numeric) = 0.2049298712663952 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.57334830416900600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2308122995247355 " "
Order of pole = 3.5588671236661007 " "
x[1] = -1.9696000000000033 " "
y[1] (analytic) = 0.20494641618563772 " "
y[1] (numeric) = 0.20494641618563827 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70856901352090840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2307191800260635 " "
Order of pole = 3.558823858724306 " "
x[1] = -1.9695000000000034 " "
y[1] (analytic) = 0.20496296293639313 " "
y[1] (numeric) = 0.20496296293639366 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5729328320678380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2306260611162827 " "
Order of pole = 3.5587805905880963 " "
x[1] = -1.9694000000000034 " "
y[1] (analytic) = 0.20497951151890098 " "
y[1] (numeric) = 0.2049795115189015 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5727251118379330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.230532942798725 " "
Order of pole = 3.5587373193011587 " "
x[1] = -1.9693000000000034 " "
y[1] (analytic) = 0.20499606193340147 " "
y[1] (numeric) = 0.204996061933402 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5725174021551456000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.230439825077709 " "
Order of pole = 3.558694044921218 " "
x[1] = -1.9692000000000034 " "
y[1] (analytic) = 0.2050126141801348 " "
y[1] (numeric) = 0.20501261418013533 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5723097030194780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2303467079564268 " "
Order of pole = 3.558650767489997 " "
x[1] = -1.9691000000000034 " "
y[1] (analytic) = 0.20502916825934123 " "
y[1] (numeric) = 0.20502916825934175 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.57210201443092870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2302535914388972 " "
Order of pole = 3.5586074870609608 " "
x[1] = -1.9690000000000034 " "
y[1] (analytic) = 0.205045724171261 " "
y[1] (numeric) = 0.20504572417126155 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70725719619947200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2301604755286526 " "
Order of pole = 3.5585642036806604 " "
x[1] = -1.9689000000000034 " "
y[1] (analytic) = 0.20506228191613446 " "
y[1] (numeric) = 0.205062281916135 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5716866688951856000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2300673602294987 " "
Order of pole = 3.5585209173995516 " "
x[1] = -1.9688000000000034 " "
y[1] (analytic) = 0.2050788414942019 " "
y[1] (numeric) = 0.20507884149420244 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.57147901194799240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2299742455453275 " "
Order of pole = 3.55847762826928 " "
x[1] = -1.9687000000000034 " "
y[1] (analytic) = 0.20509540290570372 " "
y[1] (numeric) = 0.20509540290570427 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.7066014374188620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2298811314796882 " "
Order of pole = 3.558434336336674 " "
x[1] = -1.9686000000000035 " "
y[1] (analytic) = 0.20511196615088034 " "
y[1] (numeric) = 0.20511196615088087 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5710637296949630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.229788018036628 " "
Order of pole = 3.5583910416556037 " "
x[1] = -1.9685000000000035 " "
y[1] (analytic) = 0.20512853122997213 " "
y[1] (numeric) = 0.20512853122997268 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70616432040960640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2296949052194566 " "
Order of pole = 3.5583477442694793 " "
x[1] = -1.9684000000000035 " "
y[1] (analytic) = 0.20514509814321968 " "
y[1] (numeric) = 0.20514509814322018 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 2.4353512007024913000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.229601793032177 " "
Order of pole = 3.5583044442315597 " "
x[1] = -1.9683000000000035 " "
y[1] (analytic) = 0.20516166689086332 " "
y[1] (numeric) = 0.20516166689086388 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70572724780927250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.229508681478531 " "
Order of pole = 3.558261141591373 " "
x[1] = -1.9682000000000035 " "
y[1] (analytic) = 0.2051782374731437 " "
y[1] (numeric) = 0.2051782374731443 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.8407841645705730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2294155705619643 " "
Order of pole = 3.558217836394281 " "
x[1] = -1.9681000000000035 " "
y[1] (analytic) = 0.20519480989030142 " "
y[1] (numeric) = 0.20519480989030198 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70529021961785850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2293224602866917 " "
Order of pole = 3.558174528696558 " "
x[1] = -1.9680000000000035 " "
y[1] (analytic) = 0.20521138414257703 " "
y[1] (numeric) = 0.20521138414257756 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5698181360667220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2292293506559555 " "
Order of pole = 3.5581312185406446 " "
x[1] = -1.9679000000000035 " "
y[1] (analytic) = 0.20522796023021112 " "
y[1] (numeric) = 0.20522796023021164 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.56961057404359700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2291362416737903 " "
Order of pole = 3.5580879059802797 " "
x[1] = -1.9678000000000035 " "
y[1] (analytic) = 0.20524453815344437 " "
y[1] (numeric) = 0.2052445381534449 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.5694030225675920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2290431333443332 " "
Order of pole = 3.5580445910706437 " "
x[1] = -1.9677000000000036 " "
y[1] (analytic) = 0.2052611179125175 " "
y[1] (numeric) = 0.20526111791251803 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 2.56919548163870470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.228950025670286 " "
Order of pole = 3.5580012738464823 " "
x[1] = -1.9676000000000036 " "
y[1] (analytic) = 0.20527769950767122 " "
y[1] (numeric) = 0.20527769950767177 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70419784342835400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.228856918656373 " "
Order of pole = 3.557957954371364 " "
x[1] = -1.9675000000000036 " "
y[1] (analytic) = 0.2052942829391463 " "
y[1] (numeric) = 0.2052942829391469 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.83917837157200150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.228763812305708 " "
Order of pole = 3.5579146326858933 " "
x[1] = -1.9674000000000036 " "
y[1] (analytic) = 0.20531086820718358 " "
y[1] (numeric) = 0.20531086820718417 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.8389490192015726000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2286707066224256 " "
Order of pole = 3.5578713088452645 " "
x[1] = -1.9673000000000036 " "
y[1] (analytic) = 0.20532745531202387 " "
y[1] (numeric) = 0.20532745531202443 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70354255094141460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2285776016101524 " "
Order of pole = 3.557827982897379 " "
x[1] = -1.9672000000000036 " "
y[1] (analytic) = 0.2053440442539079 " "
y[1] (numeric) = 0.2053440442539085 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.97365655654858500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.228484497272517 " "
Order of pole = 3.5577846548902095 " "
x[1] = -1.9671000000000036 " "
y[1] (analytic) = 0.20536063503307678 " "
y[1] (numeric) = 0.20536063503307733 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.7031057447946060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2283913936134465 " "
Order of pole = 3.5577413248759733 " "
x[1] = -1.9670000000000036 " "
y[1] (analytic) = 0.20537722764977123 " "
y[1] (numeric) = 0.20537722764977182 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.8380317262932750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2282982906363866 " "
Order of pole = 3.5576979929000174 " "
x[1] = -1.9669000000000036 " "
y[1] (analytic) = 0.20539382210423238 " "
y[1] (numeric) = 0.20539382210423293 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70266898305671850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.22820518834576 " "
Order of pole = 3.5576546590216402 " "
x[1] = -1.9668000000000037 " "
y[1] (analytic) = 0.20541041839670107 " "
y[1] (numeric) = 0.20541041839670166 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.83757314978317630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.228112086744423 " "
Order of pole = 3.5576113232777864 " "
x[1] = -1.9667000000000037 " "
y[1] (analytic) = 0.2054270165274184 " "
y[1] (numeric) = 0.205427016527419 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.837343879014140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2280189858366546 " "
Order of pole = 3.557567985725722 " "
x[1] = -1.9666000000000037 " "
y[1] (analytic) = 0.20544361649662546 " "
y[1] (numeric) = 0.205443616496626 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 2.70201392371661400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.22792588562614 " "
Order of pole = 3.5575246464142154 " "
x[1] = -1.9665000000000037 " "
y[1] (analytic) = 0.20546021830456324 " "
y[1] (numeric) = 0.20546021830456382 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.8368853724480920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2278327861167466 " "
Order of pole = 3.5574813053946315 " "
x[1] = -1.9664000000000037 " "
y[1] (analytic) = 0.20547682195147293 " "
y[1] (numeric) = 0.20547682195147352 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.83665613665108060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2277396873118294 " "
Order of pole = 3.557437962711063 " "
x[1] = -1.9663000000000037 " "
y[1] (analytic) = 0.20549342743759566 " "
y[1] (numeric) = 0.20549342743759624 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.8364269125114110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.227646589215207 " "
Order of pole = 3.5573946184142002 " "
x[1] = -1.9662000000000037 " "
y[1] (analytic) = 0.20551003476317262 " "
y[1] (numeric) = 0.2055100347631732 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.83619770002908330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2275534918312054 " "
Order of pole = 3.5573512725619594 " "
x[1] = -1.9661000000000037 " "
y[1] (analytic) = 0.205526643928445 " "
y[1] (numeric) = 0.2055266439284456 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.97101461821381640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2274603951629905 " "
Order of pole = 3.5573079251957367 " "
x[1] = -1.9660000000000037 " "
y[1] (analytic) = 0.2055432549336541 " "
y[1] (numeric) = 0.20554325493365472 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.9707745152762850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.227367299214508 " "
Order of pole = 3.5572645763680377 " "
x[1] = -1.9659000000000038 " "
y[1] (analytic) = 0.20555986777904123 " "
y[1] (numeric) = 0.2055598677790418 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 2.83551013252615060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2272742039893236 " "
Order of pole = 3.5572212261259573 " "
x[1] = -1.9658000000000038 " "
y[1] (analytic) = 0.20557648246484758 " "
y[1] (numeric) = 0.2055764824648482 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.97029434603858060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.227181109491577 " "
Order of pole = 3.5571778745247578 " "
x[1] = -1.9657000000000038 " "
y[1] (analytic) = 0.20559309899131462 " "
y[1] (numeric) = 0.20559309899131523 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.97005427973840800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2270880157245965 " "
Order of pole = 3.5571345216081696 " "
x[1] = -1.9656000000000038 " "
y[1] (analytic) = 0.20560971735868364 " "
y[1] (numeric) = 0.20560971735868427 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 3.1048057813620844000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.22699492269255 " "
Order of pole = 3.5570911674318673 " "
x[1] = -1.9655000000000038 " "
y[1] (analytic) = 0.20562633756719614 " "
y[1] (numeric) = 0.20562633756719675 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.9695741837754230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2269018303989405 " "
Order of pole = 3.557047812042068 " "
x[1] = -1.9654000000000038 " "
y[1] (analytic) = 0.20564295961709347 " "
y[1] (numeric) = 0.2056429596170941 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 3.1043038883904570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2268087388474367 " "
Order of pole = 3.5570044554873412 " "
x[1] = -1.9653000000000038 " "
y[1] (analytic) = 0.2056595835086172 " "
y[1] (numeric) = 0.20565958350861785 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 3.10405296105599000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2267156480419437 " "
Order of pole = 3.5569610978196273 " "
x[1] = -1.9652000000000038 " "
y[1] (analytic) = 0.20567620924200883 " "
y[1] (numeric) = 0.20567620924200944 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 2.9688541314243455000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.226622557986358 " "
Order of pole = 3.556917739090757 " "
x[1] = -1.9651000000000038 " "
y[1] (analytic) = 0.20569283681750983 " "
y[1] (numeric) = 0.20569283681751047 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 3.1035511446897524000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2265294686839665 " "
Order of pole = 3.5568743793438635 " "
x[1] = -1.9650000000000039 " "
y[1] (analytic) = 0.20570946623536185 " "
y[1] (numeric) = 0.2057094662353625 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 3.10330025565798000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.226436380138927 " "
Order of pole = 3.5568310186344974 " "
x[1] = -1.9649000000000039 " "
y[1] (analytic) = 0.20572609749580645 " "
y[1] (numeric) = 0.20572609749580711 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.23796456980219750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2263432923552817 " "
Order of pole = 3.556787657016571 " "
x[1] = -1.9648000000000039 " "
y[1] (analytic) = 0.20574273059908532 " "
y[1] (numeric) = 0.205742730599086 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.23770279919700600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2262502053359556 " "
Order of pole = 3.5567442945280874 " "
x[1] = -1.9647000000000039 " "
y[1] (analytic) = 0.2057593655454401 " "
y[1] (numeric) = 0.20575936554544078 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.23744104191448940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.226157119085329 " "
Order of pole = 3.5567009312277413 " "
x[1] = -1.964600000000004 " "
y[1] (analytic) = 0.20577600233511253 " "
y[1] (numeric) = 0.20577600233511317 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 3.1022968272065393000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.226064033606868 " "
Order of pole = 3.556657567161274 " "
x[1] = -1.964500000000004 " "
y[1] (analytic) = 0.20579264096834426 " "
y[1] (numeric) = 0.20579264096834496 " "
absolute error = 6.9388939039072280000000000000000E-16 " "
relative error = 3.3717891326223820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2259709489045996 " "
Order of pole = 3.5566142023823595 " "
x[1] = -1.964400000000004 " "
y[1] (analytic) = 0.20580928144537716 " "
y[1] (numeric) = 0.20580928144537788 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 3.50637717083658300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2258778649820847 " "
Order of pole = 3.5565708369380786 " "
x[1] = -1.964300000000004 " "
y[1] (analytic) = 0.20582592376645306 " "
y[1] (numeric) = 0.20582592376645376 " "
absolute error = 6.9388939039072280000000000000000E-16 " "
relative error = 3.37124390209498860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.22578478184311 " "
Order of pole = 3.5565274708786916 " "
x[1] = -1.964200000000004 " "
y[1] (analytic) = 0.20584256793181366 " "
y[1] (numeric) = 0.2058425679318144 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 3.6406490122598120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.225691699491273 " "
Order of pole = 3.556484104251801 " "
x[1] = -1.964100000000004 " "
y[1] (analytic) = 0.20585921394170098 " "
y[1] (numeric) = 0.2058592139417017 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 3.5055266761618964000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2255986179308644 " "
Order of pole = 3.5564407371148725 " "
x[1] = -1.964000000000004 " "
y[1] (analytic) = 0.2058758617963568 " "
y[1] (numeric) = 0.20587586179635756 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 3.6400602532182920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2255055371653576 " "
Order of pole = 3.556397369513732 " "
x[1] = -1.963900000000004 " "
y[1] (analytic) = 0.20589251149602317 " "
y[1] (numeric) = 0.2058925114960239 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 3.50495975187660200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.225412457198104 " "
Order of pole = 3.5563540014924406 " "
x[1] = -1.963800000000004 " "
y[1] (analytic) = 0.20590916304094198 " "
y[1] (numeric) = 0.2059091630409427 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 3.50467631138330350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.225319378033116 " "
Order of pole = 3.5563106331045446 " "
x[1] = -1.963700000000004 " "
y[1] (analytic) = 0.20592581643135524 " "
y[1] (numeric) = 0.20592581643135596 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 3.5043928853229040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2252262996748033 " "
Order of pole = 3.556267264409186 " "
x[1] = -1.963600000000004 " "
y[1] (analytic) = 0.20594247166750498 " "
y[1] (numeric) = 0.20594247166750573 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 3.6388829149913820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.225133222125954 " "
Order of pole = 3.5562238954424537 " "
x[1] = -1.963500000000004 " "
y[1] (analytic) = 0.2059591287496333 " "
y[1] (numeric) = 0.20595912874963407 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.77335115930855950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.225040145391126 " "
Order of pole = 3.5561805262656243 " "
x[1] = -1.963400000000004 " "
y[1] (analytic) = 0.20597578767798227 " "
y[1] (numeric) = 0.20597578767798305 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7730459778728814000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2249470694734823 " "
Order of pole = 3.5561371569201192 " "
x[1] = -1.963300000000004 " "
y[1] (analytic) = 0.20599244845279405 " "
y[1] (numeric) = 0.20599244845279482 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.77274081198032600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.224853994376689 " "
Order of pole = 3.5560937874545147 " "
x[1] = -1.963200000000004 " "
y[1] (analytic) = 0.2060091110743108 " "
y[1] (numeric) = 0.20600911107431155 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 3.6377058165726456000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2247609201053264 " "
Order of pole = 3.556050417930443 " "
x[1] = -1.963100000000004 " "
y[1] (analytic) = 0.2060257755427747 " "
y[1] (numeric) = 0.20602577554277546 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 3.63741157943798850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.224667846662449 " "
Order of pole = 3.556007048387766 " "
x[1] = -1.963000000000004 " "
y[1] (analytic) = 0.206042441858428 " "
y[1] (numeric) = 0.20604244185842874 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 3.63711735729134230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2245747740520727 " "
Order of pole = 3.5559636788800546 " "
x[1] = -1.962900000000004 " "
y[1] (analytic) = 0.2060591100215129 " "
y[1] (numeric) = 0.20605911002151367 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7715203038413260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2244817022780854 " "
Order of pole = 3.55592030945909 " "
x[1] = -1.962800000000004 " "
y[1] (analytic) = 0.20607578003227175 " "
y[1] (numeric) = 0.20607578003227253 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.77121521566438240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.224388631343985 " "
Order of pole = 3.55587694017105 " "
x[1] = -1.962700000000004 " "
y[1] (analytic) = 0.2060924518909469 " "
y[1] (numeric) = 0.2060924518909477 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.77091014303056100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2242955612534314 " "
Order of pole = 3.5558335710644613 " "
x[1] = -1.9626000000000041 " "
y[1] (analytic) = 0.2061091255977807 " "
y[1] (numeric) = 0.20610912559778147 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.77060508593986150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2242024920109404 " "
Order of pole = 3.555790202200029 " "
x[1] = -1.9625000000000041 " "
y[1] (analytic) = 0.20612580115301551 " "
y[1] (numeric) = 0.2061258011530163 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.77030004439228460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.224109423619446 " "
Order of pole = 3.5557468336159275 " "
x[1] = -1.9624000000000041 " "
y[1] (analytic) = 0.20614247855689374 " "
y[1] (numeric) = 0.20614247855689455 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.90463769761596750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2240163560826907 " "
Order of pole = 3.555703465361841 " "
x[1] = -1.9623000000000042 " "
y[1] (analytic) = 0.20615915780965796 " "
y[1] (numeric) = 0.20615915780965874 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.76969000792649700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2239232894055125 " "
Order of pole = 3.5556600975031003 " "
x[1] = -1.9622000000000042 " "
y[1] (analytic) = 0.20617583891155056 " "
y[1] (numeric) = 0.20617583891155133 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.76938501300828730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2238302235905185 " "
Order of pole = 3.5556167300732113 " "
x[1] = -1.9621000000000042 " "
y[1] (analytic) = 0.20619252186281406 " "
y[1] (numeric) = 0.20619252186281486 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.90369003483438560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2237371586418004 " "
Order of pole = 3.555573363126868 " "
x[1] = -1.9620000000000042 " "
y[1] (analytic) = 0.20620920666369108 " "
y[1] (numeric) = 0.20620920666369186 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7687750698012350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2236440945634413 " "
Order of pole = 3.5555299967186116 " "
x[1] = -1.9619000000000042 " "
y[1] (analytic) = 0.20622589331442415 " "
y[1] (numeric) = 0.20622589331442495 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.9030583401378350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2235510313589337 " "
Order of pole = 3.5554866308946096 " "
x[1] = -1.9618000000000042 " "
y[1] (analytic) = 0.20624258181525595 " "
y[1] (numeric) = 0.20624258181525673 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7681651887666710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2234579690322205 " "
Order of pole = 3.5554432657074138 " "
x[1] = -1.9617000000000042 " "
y[1] (analytic) = 0.20625927216642906 " "
y[1] (numeric) = 0.20625927216642986 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.9024267098342190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2233649075867414 " "
Order of pole = 3.5553999012024207 " "
x[1] = -1.9616000000000042 " "
y[1] (analytic) = 0.20627596436818624 " "
y[1] (numeric) = 0.20627596436818704 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.9021109188297620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.223271847026914 " "
Order of pole = 3.555356537438975 " "
x[1] = -1.9615000000000042 " "
y[1] (analytic) = 0.20629265842077021 " "
y[1] (numeric) = 0.206292658420771 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7672504837882440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2231787873556095 " "
Order of pole = 3.5553131744543833 " "
x[1] = -1.9614000000000043 " "
y[1] (analytic) = 0.20630935432442365 " "
y[1] (numeric) = 0.20630935432442446 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.901479385115550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.223085728577286 " "
Order of pole = 3.555269812308552 " "
x[1] = -1.9613000000000043 " "
y[1] (analytic) = 0.20632605207938945 " "
y[1] (numeric) = 0.20632605207939025 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.9011636424057940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.222992670695707 " "
Order of pole = 3.5552264510515172 " "
x[1] = -1.9612000000000043 " "
y[1] (analytic) = 0.20634275168591035 " "
y[1] (numeric) = 0.20634275168591115 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.90084791579427270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2228996137141737 " "
Order of pole = 3.5551830907266933 " "
x[1] = -1.9611000000000043 " "
y[1] (analytic) = 0.20635945314422924 " "
y[1] (numeric) = 0.20635945314423004 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.90053220528098500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2228065576366465 " "
Order of pole = 3.5551397313869373 " "
x[1] = -1.9610000000000043 " "
y[1] (analytic) = 0.20637615645458895 " "
y[1] (numeric) = 0.2063761564545898 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.03470673537854930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2227135024671028 " "
Order of pole = 3.555096373085309 " "
x[1] = -1.9609000000000043 " "
y[1] (analytic) = 0.20639286161723255 " "
y[1] (numeric) = 0.20639286161723333 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7654214934956920000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2226204482093754 " "
Order of pole = 3.555053015872847 " "
x[1] = -1.9608000000000043 " "
y[1] (analytic) = 0.2064095686324028 " "
y[1] (numeric) = 0.2064095686324036 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.76511671618119550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.222527394866666 " "
Order of pole = 3.5550096597915726 " "
x[1] = -1.9607000000000043 " "
y[1] (analytic) = 0.2064262775003428 " "
y[1] (numeric) = 0.20642627750034356 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.7648119544098210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2224343424434854 " "
Order of pole = 3.5549663049021767 " "
x[1] = -1.9606000000000043 " "
y[1] (analytic) = 0.20644298822129548 " "
y[1] (numeric) = 0.20644298822129628 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.89895389418805360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2223412909431848 " "
Order of pole = 3.5549229512487948 " "
x[1] = -1.9605000000000044 " "
y[1] (analytic) = 0.20645970079550396 " "
y[1] (numeric) = 0.20645970079550477 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.89863828026416950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.222248240369601 " "
Order of pole = 3.554879598882554 " "
x[1] = -1.9604000000000044 " "
y[1] (analytic) = 0.20647641522321133 " "
y[1] (numeric) = 0.20647641522321214 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.8983226824385180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.222155190726347 " "
Order of pole = 3.554836247851341 " "
x[1] = -1.9603000000000044 " "
y[1] (analytic) = 0.2064931315046607 " "
y[1] (numeric) = 0.20649313150466148 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.76359306275554530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.22206214201759 " "
Order of pole = 3.5547928982109553 " "
x[1] = -1.9602000000000044 " "
y[1] (analytic) = 0.20650984964009517 " "
y[1] (numeric) = 0.20650984964009594 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 3.76328837869978200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2219690942468944 " "
Order of pole = 3.5547495500086086 " "
x[1] = -1.9601000000000044 " "
y[1] (analytic) = 0.2065265696297579 " "
y[1] (numeric) = 0.2065265696297587 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.89737598555096900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2218760474179575 " "
Order of pole = 3.5547062032933923 " "
x[1] = -1.9600000000000044 " "
y[1] (analytic) = 0.2065432914738922 " "
y[1] (numeric) = 0.206543291473893 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.89706045211825340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2217830015346207 " "
Order of pole = 3.554662858116508 " "
x[1] = -1.9599000000000044 " "
y[1] (analytic) = 0.20656001517274125 " "
y[1] (numeric) = 0.20656001517274206 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 3.89674493478377200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.221689956600612 " "
Order of pole = 3.55461951452747 " "
x[1] = -1.9598000000000044 " "
y[1] (analytic) = 0.2065767407265483 " "
y[1] (numeric) = 0.20657674072654916 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.16514870482666440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2215969126196753 " "
Order of pole = 3.5545761725760805 " "
x[1] = -1.9597000000000044 " "
y[1] (analytic) = 0.2065934681355568 " "
y[1] (numeric) = 0.20659346813555762 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0304627052512170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2215038695958 " "
Order of pole = 3.5545328323156333 " "
x[1] = -1.9596000000000044 " "
y[1] (analytic) = 0.2066101974000099 " "
y[1] (numeric) = 0.20661019740001077 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.16447423656764350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.221410827532474 " "
Order of pole = 3.554489493792225 " "
x[1] = -1.9595000000000045 " "
y[1] (analytic) = 0.20662692852015116 " "
y[1] (numeric) = 0.206626928520152 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02981002733950040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2213177864339633 " "
Order of pole = 3.554446157063129 " "
x[1] = -1.9594000000000045 " "
y[1] (analytic) = 0.20664366149622387 " "
y[1] (numeric) = 0.2066436614962247 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.029483713363660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2212247463033483 " "
Order of pole = 3.5544028221686546 " "
x[1] = -1.9593000000000045 " "
y[1] (analytic) = 0.2066603963284715 " "
y[1] (numeric) = 0.20666039632847233 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02915741604116600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.221131707145308 " "
Order of pole = 3.5543594891719223 " "
x[1] = -1.9592000000000045 " "
y[1] (analytic) = 0.20667713301713753 " "
y[1] (numeric) = 0.20667713301713836 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0288311353720163000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.221038668962517 " "
Order of pole = 3.5543161581075076 " "
x[1] = -1.9591000000000045 " "
y[1] (analytic) = 0.20669387156246546 " "
y[1] (numeric) = 0.2066938715624663 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0285048713562120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2209456317598923 " "
Order of pole = 3.5542728290419063 " "
x[1] = -1.9590000000000045 " "
y[1] (analytic) = 0.20671061196469886 " "
y[1] (numeric) = 0.2067106119646997 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02817862399375340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.220852595540143 " "
Order of pole = 3.5542295020101733 " "
x[1] = -1.9589000000000045 " "
y[1] (analytic) = 0.20672735422408128 " "
y[1] (numeric) = 0.20672735422408212 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02785239328464050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2207595603077137 " "
Order of pole = 3.5541861770721113 " "
x[1] = -1.9588000000000045 " "
y[1] (analytic) = 0.20674409834085636 " "
y[1] (numeric) = 0.2067440983408572 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0275261792288720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2206665260661373 " "
Order of pole = 3.554142854274506 " "
x[1] = -1.9587000000000045 " "
y[1] (analytic) = 0.20676084431526767 " "
y[1] (numeric) = 0.20676084431526853 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1614399812206650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.220573492819667 " "
Order of pole = 3.5540995336744388 " "
x[1] = -1.9586000000000046 " "
y[1] (analytic) = 0.20677759214755895 " "
y[1] (numeric) = 0.2067775921475598 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1611029277799516000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2204804605713315 " "
Order of pole = 3.554056215311512 " "
x[1] = -1.9585000000000046 " "
y[1] (analytic) = 0.2067943418379739 " "
y[1] (numeric) = 0.20679434183797474 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02654763698164050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2203874293253736 " "
Order of pole = 3.5540128992426574 " "
x[1] = -1.9584000000000046 " "
y[1] (analytic) = 0.20681109338675624 " "
y[1] (numeric) = 0.20681109338675707 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0262214895392540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2202943990855157 " "
Order of pole = 3.553969585517393 " "
x[1] = -1.9583000000000046 " "
y[1] (analytic) = 0.20682784679414973 " "
y[1] (numeric) = 0.20682784679415056 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02589535875021200000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2202013698554275 " "
Order of pole = 3.5539262741844553 " "
x[1] = -1.9582000000000046 " "
y[1] (analytic) = 0.20684460206039815 " "
y[1] (numeric) = 0.206844602060399 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1597548861016680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.220108341639004 " "
Order of pole = 3.5538829652958306 " "
x[1] = -1.9581000000000046 " "
y[1] (analytic) = 0.20686135918574544 " "
y[1] (numeric) = 0.20686135918574627 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0252431471321660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2200153144401145 " "
Order of pole = 3.5538396589031542 " "
x[1] = -1.9580000000000046 " "
y[1] (analytic) = 0.20687811817043536 " "
y[1] (numeric) = 0.2068781181704362 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02491706630316140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2199222882623055 " "
Order of pole = 3.5537963550534073 " "
x[1] = -1.9579000000000046 " "
y[1] (analytic) = 0.20689487901471182 " "
y[1] (numeric) = 0.2068948790147127 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29289706893600240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2198292631093626 " "
Order of pole = 3.553753053797024 " "
x[1] = -1.9578000000000046 " "
y[1] (analytic) = 0.20691164171881887 " "
y[1] (numeric) = 0.20691164171881973 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15840711975869360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.219736238985285 " "
Order of pole = 3.55370975518748 " "
x[1] = -1.9577000000000047 " "
y[1] (analytic) = 0.20692840628300035 " "
y[1] (numeric) = 0.20692840628300121 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1580702211940923000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.219643215893638 " "
Order of pole = 3.553666459272062 " "
x[1] = -1.9576000000000047 " "
y[1] (analytic) = 0.20694517270750032 " "
y[1] (numeric) = 0.20694517270750118 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15773333983794850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2195501938380926 " "
Order of pole = 3.5536231660995554 " "
x[1] = -1.9575000000000047 " "
y[1] (analytic) = 0.20696194099256282 " "
y[1] (numeric) = 0.20696194099256368 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15739647569026040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.219457172823144 " "
Order of pole = 3.5535798757305166 " "
x[1] = -1.9574000000000047 " "
y[1] (analytic) = 0.20697871113843186 " "
y[1] (numeric) = 0.20697871113843275 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.29115832645267650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.219364152851638 " "
Order of pole = 3.553536588201986 " "
x[1] = -1.9573000000000047 " "
y[1] (analytic) = 0.20699548314535163 " "
y[1] (numeric) = 0.2069954831453525 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1567227990202560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2192711339279816 " "
Order of pole = 3.553493303573262 " "
x[1] = -1.9572000000000047 " "
y[1] (analytic) = 0.2070122570135662 " "
y[1] (numeric) = 0.20701225701356704 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0223090191915540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2191781160558413 " "
Order of pole = 3.5534500218930916 " "
x[1] = -1.9571000000000047 " "
y[1] (analytic) = 0.20702903274331974 " "
y[1] (numeric) = 0.2070290327433206 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15604919118407970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2190850992387072 " "
Order of pole = 3.5534067432076952 " "
x[1] = -1.9570000000000047 " "
y[1] (analytic) = 0.20704581033485644 " "
y[1] (numeric) = 0.20704581033485733 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.2897676522102474000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2189920834806354 " "
Order of pole = 3.553363467571373 " "
x[1] = -1.9569000000000047 " "
y[1] (analytic) = 0.20706258978842063 " "
y[1] (numeric) = 0.20706258978842146 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02133127630489900000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2188990687855794 " "
Order of pole = 3.5533201950369993 " "
x[1] = -1.9568000000000048 " "
y[1] (analytic) = 0.2070793711042564 " "
y[1] (numeric) = 0.20707937110425728 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.28907242167044230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2188060551569158 " "
Order of pole = 3.5532769256491505 " "
x[1] = -1.9567000000000048 " "
y[1] (analytic) = 0.20709615428260822 " "
y[1] (numeric) = 0.20709615428260905 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.02067953098052400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.218713042598616 " "
Order of pole = 3.5532336594609575 " "
x[1] = -1.9566000000000048 " "
y[1] (analytic) = 0.20711293932372027 " "
y[1] (numeric) = 0.20711293932372113 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1543654727416330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2186200311144706 " "
Order of pole = 3.5531903965229468 " "
x[1] = -1.9565000000000048 " "
y[1] (analytic) = 0.207129726227837 " "
y[1] (numeric) = 0.20712972622783787 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15402878067851500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2185270207082763 " "
Order of pole = 3.5531471368857197 " "
x[1] = -1.9564000000000048 " "
y[1] (analytic) = 0.20714651499520284 " "
y[1] (numeric) = 0.2071465149952037 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15369210582385240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.218434011384047 " "
Order of pole = 3.553103880603011 " "
x[1] = -1.9563000000000048 " "
y[1] (analytic) = 0.20716330562606214 " "
y[1] (numeric) = 0.207163305626063 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1533554481776480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2183410031447823 " "
Order of pole = 3.553060627714082 " "
x[1] = -1.9562000000000048 " "
y[1] (analytic) = 0.20718009812065943 " "
y[1] (numeric) = 0.20718009812066027 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0190504591031280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.218247995995066 " "
Order of pole = 3.553017378280753 " "
x[1] = -1.9561000000000048 " "
y[1] (analytic) = 0.20719689247923914 " "
y[1] (numeric) = 0.20719689247923997 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0187246946876850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.218154989938526 " "
Order of pole = 3.5529741323512702 " "
x[1] = -1.9560000000000048 " "
y[1] (analytic) = 0.2072136887020458 " "
y[1] (numeric) = 0.20721368870204665 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15234557848977450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2180619849786964 " "
Order of pole = 3.552930889972508 " "
x[1] = -1.9559000000000049 " "
y[1] (analytic) = 0.20723048678932401 " "
y[1] (numeric) = 0.20723048678932487 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1520089896773970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2179689811196845 " "
Order of pole = 3.552887651199544 " "
x[1] = -1.9558000000000049 " "
y[1] (analytic) = 0.20724728674131834 " "
y[1] (numeric) = 0.20724728674131923 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.28559733478552400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2178759783649937 " "
Order of pole = 3.5528444160788126 " "
x[1] = -1.9557000000000049 " "
y[1] (analytic) = 0.20726408855827347 " "
y[1] (numeric) = 0.20726408855827433 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1513358636780130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.217782976718599 " "
Order of pole = 3.552801184663508 " "
x[1] = -1.955600000000005 " "
y[1] (analytic) = 0.207280892240434 " "
y[1] (numeric) = 0.20728089224043486 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1509993264910060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.217689976184101 " "
Order of pole = 3.5527579570014716 " "
x[1] = -1.955500000000005 " "
y[1] (analytic) = 0.20729769778804463 " "
y[1] (numeric) = 0.2072976977880455 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.15066280651245600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.217596976765236 " "
Order of pole = 3.5527147331424977 " "
x[1] = -1.955400000000005 " "
y[1] (analytic) = 0.20731450520135014 " "
y[1] (numeric) = 0.20731450520135097 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 4.0164448100732540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2175039784662296 " "
Order of pole = 3.55267151314332 " "
x[1] = -1.955300000000005 " "
y[1] (analytic) = 0.20733131448059516 " "
y[1] (numeric) = 0.20733131448059605 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.28386045747687960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2174109812903775 " "
Order of pole = 3.552628297047459 " "
x[1] = -1.955200000000005 " "
y[1] (analytic) = 0.20734812562602462 " "
y[1] (numeric) = 0.2073481256260255 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.2835131353058560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.217317985241847 " "
Order of pole = 3.55258508491087 " "
x[1] = -1.955100000000005 " "
y[1] (analytic) = 0.2073649386378833 " "
y[1] (numeric) = 0.20736493863788416 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.14931689868282550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2172249903241426 " "
Order of pole = 3.5525418767800154 " "
x[1] = -1.955000000000005 " "
y[1] (analytic) = 0.20738175351641602 " "
y[1] (numeric) = 0.20738175351641688 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.148980464746560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2171319965410676 " "
Order of pole = 3.552498672705653 " "
x[1] = -1.954900000000005 " "
y[1] (analytic) = 0.2073985702618677 " "
y[1] (numeric) = 0.2073985702618686 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.2824712753741950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.217039003896691 " "
Order of pole = 3.5524554727423236 " "
x[1] = -1.954800000000005 " "
y[1] (analytic) = 0.2074153888744833 " "
y[1] (numeric) = 0.20741538887448416 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.14830764849939970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.216946012394444 " "
Order of pole = 3.5524122769354918 " "
x[1] = -1.954700000000005 " "
y[1] (analytic) = 0.2074322093545077 " "
y[1] (numeric) = 0.20743220935450857 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 4.1479712661885050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.21685302203811 " "
Order of pole = 3.55236908533562 " "
x[1] = -1.954600000000005 " "
y[1] (analytic) = 0.20744903170218593 " "
y[1] (numeric) = 0.20744903170218681 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.281429575314650300000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.21676003283217 " "
Order of pole = 3.552325898003133 " "
x[1] = -1.954500000000005 " "
y[1] (analytic) = 0.20746585591776298 " "
y[1] (numeric) = 0.2074658559177639 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.41486620178512400000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.216667044779402 " "
Order of pole = 3.5522827149741794 " "
x[1] = -1.954400000000005 " "
y[1] (analytic) = 0.20748268200148398 " "
y[1] (numeric) = 0.2074826820014849 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.41450817234569500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2165740578841793 " "
Order of pole = 3.5522395363076527 " "
x[1] = -1.954300000000005 " "
y[1] (analytic) = 0.20749950995359398 " "
y[1] (numeric) = 0.20749950995359487 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.280388035127220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2164810721505943 " "
Order of pole = 3.5521963620584422 " "
x[1] = -1.954200000000005 " "
y[1] (analytic) = 0.2075163397743381 " "
y[1] (numeric) = 0.20751633977433898 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.28004089059188000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.216388087581454 " "
Order of pole = 3.552153192263127 " "
x[1] = -1.954100000000005 " "
y[1] (analytic) = 0.20753317146396144 " "
y[1] (numeric) = 0.20753317146396236 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.41343419393948800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2162951041815284 " "
Order of pole = 3.5521100269862487 " "
x[1] = -1.954000000000005 " "
y[1] (analytic) = 0.2075500050227093 " "
y[1] (numeric) = 0.20755000502271018 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.27934665481190600000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.216202121953849 " "
Order of pole = 3.552066866267591 " "
x[1] = -1.953900000000005 " "
y[1] (analytic) = 0.20756684045082674 " "
y[1] (numeric) = 0.20756684045082768 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.5464370362902270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2161091409026406 " "
Order of pole = 3.552023710163944 " "
x[1] = -1.953800000000005 " "
y[1] (analytic) = 0.2075836777485592 " "
y[1] (numeric) = 0.20758367774856012 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.4123603804013990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2160161610317433 " "
Order of pole = 3.551980558726619 " "
x[1] = -1.953700000000005 " "
y[1] (analytic) = 0.20760051691615183 " "
y[1] (numeric) = 0.20760051691615278 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.5456995240167520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.215923182344799 " "
Order of pole = 3.55193741200409 " "
x[1] = -1.953600000000005 " "
y[1] (analytic) = 0.20761735795385 " "
y[1] (numeric) = 0.20761735795385097 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.6790169960786643000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2158302048456178 " "
Order of pole = 3.5518942700472564 " "
x[1] = -1.9535000000000051 " "
y[1] (analytic) = 0.20763420086189907 " "
y[1] (numeric) = 0.20763420086190004 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.6786374427454563000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2157372285375163 " "
Order of pole = 3.551851132899955 " "
x[1] = -1.9534000000000051 " "
y[1] (analytic) = 0.20765104564054446 " "
y[1] (numeric) = 0.20765104564054537 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.41092888547880000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2156442534252063 " "
Order of pole = 3.551808000625936 " "
x[1] = -1.9533000000000051 " "
y[1] (analytic) = 0.20766789229003146 " "
y[1] (numeric) = 0.2076678922900324 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.54422472595530040000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2155512795119257 " "
Order of pole = 3.551764873267942 " "
x[1] = -1.9532000000000052 " "
y[1] (analytic) = 0.20768474081060564 " "
y[1] (numeric) = 0.2076847408106066 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.5438560736244160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2154583068016103 " "
Order of pole = 3.551721750878656 " "
x[1] = -1.9531000000000052 " "
y[1] (analytic) = 0.20770159120251247 " "
y[1] (numeric) = 0.20770159120251339 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.40985545663298950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2153653352978893 " "
Order of pole = 3.551678633506409 " "
x[1] = -1.9530000000000052 " "
y[1] (analytic) = 0.20771844346599738 " "
y[1] (numeric) = 0.20771844346599833 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.54311882558402160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.215272365004633 " "
Order of pole = 3.551635521202943 " "
x[1] = -1.9529000000000052 " "
y[1] (analytic) = 0.20773529760130605 " "
y[1] (numeric) = 0.20773529760130696 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.40913992899584940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2151793959255652 " "
Order of pole = 3.5515924140179465 " "
x[1] = -1.9528000000000052 " "
y[1] (analytic) = 0.20775215360868393 " "
y[1] (numeric) = 0.20775215360868488 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.54238165303879340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2150864280647737 " "
Order of pole = 3.5515493120062764 " "
x[1] = -1.9527000000000052 " "
y[1] (analytic) = 0.2077690114883768 " "
y[1] (numeric) = 0.2077690114883777 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.40842447463342830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2149934614256415 " "
Order of pole = 3.5515062152127577 " "
x[1] = -1.9526000000000052 " "
y[1] (analytic) = 0.20778587124063014 " "
y[1] (numeric) = 0.20778587124063105 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.4080667749302377000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2149004960121648 " "
Order of pole = 3.551463123690958 " "
x[1] = -1.9525000000000052 " "
y[1] (analytic) = 0.20780273286568973 " "
y[1] (numeric) = 0.20780273286569065 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.4077090935457270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.214807531828211 " "
Order of pole = 3.551420037492612 " "
x[1] = -1.9524000000000052 " "
y[1] (analytic) = 0.20781959636380126 " "
y[1] (numeric) = 0.20781959636380218 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.40735143047989660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2147145688775693 " "
Order of pole = 3.5513769566683173 " "
x[1] = -1.9523000000000053 " "
y[1] (analytic) = 0.2078364617352105 " "
y[1] (numeric) = 0.20783646173521142 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 4.4069937857327450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.214621607163752 " "
Order of pole = 3.5513338812647817 " "
x[1] = -1.9522000000000053 " "
y[1] (analytic) = 0.20785332898016318 " "
y[1] (numeric) = 0.20785332898016412 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.54017058837410100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2145286466905634 " "
Order of pole = 3.551290811332816 " "
x[1] = -1.9521000000000053 " "
y[1] (analytic) = 0.20787019809890517 " "
y[1] (numeric) = 0.2078701980989061 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.53980214365492240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2144356874621938 " "
Order of pole = 3.5512477469287944 " "
x[1] = -1.9520000000000053 " "
y[1] (analytic) = 0.20788706909168228 " "
y[1] (numeric) = 0.20788706909168325 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.6729464742156984000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2143427294819857 " "
Order of pole = 3.5512046880969663 " "
x[1] = -1.9519000000000053 " "
y[1] (analytic) = 0.20790394195874046 " "
y[1] (numeric) = 0.2079039419587414 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.5390653108379390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2142497727541537 " "
Order of pole = 3.551161634894026 " "
x[1] = -1.9518000000000053 " "
y[1] (analytic) = 0.20792081670032553 " "
y[1] (numeric) = 0.20792081670032647 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.53869692274013470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.214156817282352 " "
Order of pole = 3.5511185873686912 " "
x[1] = -1.9517000000000053 " "
y[1] (analytic) = 0.2079376933166835 " "
y[1] (numeric) = 0.20793769331668444 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.53832855351612160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.214063863070179 " "
Order of pole = 3.5510755455688887 " "
x[1] = -1.9516000000000053 " "
y[1] (analytic) = 0.20795457180806032 " "
y[1] (numeric) = 0.20795457180806126 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.53796020316590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2139709101213345 " "
Order of pole = 3.5510325095439548 " "
x[1] = -1.9515000000000053 " "
y[1] (analytic) = 0.20797145217470198 " "
y[1] (numeric) = 0.20797145217470295 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.6710504561509253000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2138779584399577 " "
Order of pole = 3.5509894793495533 " "
x[1] = -1.9514000000000054 " "
y[1] (analytic) = 0.20798833441685458 " "
y[1] (numeric) = 0.20798833441685555 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.670671310824679500000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2137850080296753 " "
Order of pole = 3.5509464550339978 " "
x[1] = -1.9513000000000054 " "
y[1] (analytic) = 0.2080052185347642 " "
y[1] (numeric) = 0.20800521853476517 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.6702921849273366000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2136920588945292 " "
Order of pole = 3.55090343665157 " "
x[1] = -1.9512000000000054 " "
y[1] (analytic) = 0.20802210452867695 " "
y[1] (numeric) = 0.2080221045286779 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 4.53648699050292760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2135991110376376 " "
Order of pole = 3.5508604242433144 " "
x[1] = -1.9511000000000054 " "
y[1] (analytic) = 0.20803899239883888 " "
y[1] (numeric) = 0.20803899239883988 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 4.8029492483170560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.213506164463386 " "
Order of pole = 3.55081741786843 " "
x[1] = -1.9510000000000054 " "
y[1] (analytic) = 0.20805588214549633 " "
y[1] (numeric) = 0.2080558821454973 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.6691549238087254000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2134132191756897 " "
Order of pole = 3.550774417579344 " "
x[1] = -1.9509000000000054 " "
y[1] (analytic) = 0.20807277376889535 " "
y[1] (numeric) = 0.20807277376889638 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9355630685199660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2133202751774936 " "
Order of pole = 3.5507314234146783 " "
x[1] = -1.9508000000000054 " "
y[1] (analytic) = 0.20808966726928232 " "
y[1] (numeric) = 0.20808966726928332 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 4.8017796139277140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2132273324734992 " "
Order of pole = 3.550688435438122 " "
x[1] = -1.9507000000000054 " "
y[1] (analytic) = 0.20810656264690347 " "
y[1] (numeric) = 0.20810656264690444 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 4.668017837550240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2131343910671526 " "
Order of pole = 3.5506454536954415 " "
x[1] = -1.9506000000000054 " "
y[1] (analytic) = 0.20812345990200506 " "
y[1] (numeric) = 0.20812345990200606 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 4.8009999575882250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2130414509622214 " "
Order of pole = 3.5506024782369927 " "
x[1] = -1.9505000000000055 " "
y[1] (analytic) = 0.2081403590348335 " "
y[1] (numeric) = 0.2081403590348345 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 4.8006101593945016000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2129485121622436 " "
Order of pole = 3.5505595091098776 " "
x[1] = -1.9504000000000055 " "
y[1] (analytic) = 0.20815726004563512 " "
y[1] (numeric) = 0.20815726004563614 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9335598362177050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.212855574671431 " "
Order of pole = 3.5505165463707904 " "
x[1] = -1.9503000000000055 " "
y[1] (analytic) = 0.20817416293465638 " "
y[1] (numeric) = 0.2081741629346574 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9331592513746310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2127626384935115 " "
Order of pole = 3.550473590069533 " "
x[1] = -1.9502000000000055 " "
y[1] (analytic) = 0.20819106770214368 " "
y[1] (numeric) = 0.2081910677021447 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9327586870706824000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2126697036320495 " "
Order of pole = 3.550430640253577 " "
x[1] = -1.9501000000000055 " "
y[1] (analytic) = 0.20820797434834354 " "
y[1] (numeric) = 0.20820797434834457 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.932358143305859400000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.212576770091006 " "
Order of pole = 3.5503876969760633 " "
x[1] = -1.9500000000000055 " "
y[1] (analytic) = 0.20822488287350244 " "
y[1] (numeric) = 0.20822488287350346 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9319576200801630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.212483837873927 " "
Order of pole = 3.5503447602842115 " "
x[1] = -1.9499000000000055 " "
y[1] (analytic) = 0.20824179327786696 " "
y[1] (numeric) = 0.20824179327786796 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 4.7982717898964680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2123909069849987 " "
Order of pole = 3.550301830234371 " "
x[1] = -1.9498000000000055 " "
y[1] (analytic) = 0.20825870556168358 " "
y[1] (numeric) = 0.2082587055616846 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9311566352461480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.212297977427731 " "
Order of pole = 3.550258906873246 " "
x[1] = -1.9497000000000055 " "
y[1] (analytic) = 0.208275619725199 " "
y[1] (numeric) = 0.20827561972520003 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9307561736378286000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.21220504920588 " "
Order of pole = 3.5502159902510435 " "
x[1] = -1.9496000000000056 " "
y[1] (analytic) = 0.20829253576865986 " "
y[1] (numeric) = 0.20829253576866089 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9303557325686365000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2121121223236697 " "
Order of pole = 3.5501730804246883 " "
x[1] = -1.9495000000000056 " "
y[1] (analytic) = 0.20830945369231277 " "
y[1] (numeric) = 0.20830945369231382 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0631973474990710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2120191967843654 " "
Order of pole = 3.5501301774373886 " "
x[1] = -1.9494000000000056 " "
y[1] (analytic) = 0.20832637349640448 " "
y[1] (numeric) = 0.20832637349640556 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.196017339725879000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2119262725918993 " "
Order of pole = 3.5500872813419093 " "
x[1] = -1.9493000000000056 " "
y[1] (analytic) = 0.20834329518118178 " "
y[1] (numeric) = 0.20834329518118283 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0623749253686730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2118333497501546 " "
Order of pole = 3.550044392190273 " "
x[1] = -1.9492000000000056 " "
y[1] (analytic) = 0.20836021874689134 " "
y[1] (numeric) = 0.20836021874689242 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1951733182065380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.211740428263041 " "
Order of pole = 3.550001510034914 " "
x[1] = -1.9491000000000056 " "
y[1] (analytic) = 0.20837714419378006 " "
y[1] (numeric) = 0.20837714419378114 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.194751339920890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2116475081340425 " "
Order of pole = 3.5499586349221985 " "
x[1] = -1.9490000000000056 " "
y[1] (analytic) = 0.20839407152209477 " "
y[1] (numeric) = 0.20839407152209583 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0611414503798590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2115545893669317 " "
Order of pole = 3.549915766902597 " "
x[1] = -1.9489000000000056 " "
y[1] (analytic) = 0.20841100073208227 " "
y[1] (numeric) = 0.20841100073208335 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1939074482976430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.211461671965624 " "
Order of pole = 3.5498729060286145 " "
x[1] = -1.9488000000000056 " "
y[1] (analytic) = 0.20842793182398955 " "
y[1] (numeric) = 0.20842793182399064 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1934855349600420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.211368755934352 " "
Order of pole = 3.549830052357322 " "
x[1] = -1.9487000000000056 " "
y[1] (analytic) = 0.20844486479806354 " "
y[1] (numeric) = 0.2084448647980646 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.059908165239181000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.211275841276282 " "
Order of pole = 3.5497872059305315 " "
x[1] = -1.9486000000000057 " "
y[1] (analytic) = 0.20846179965455114 " "
y[1] (numeric) = 0.20846179965455222 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1926417732328890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.211182927995279 " "
Order of pole = 3.5497443668000663 " "
x[1] = -1.9485000000000057 " "
y[1] (analytic) = 0.20847873639369946 " "
y[1] (numeric) = 0.20847873639370051 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0590860806165830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2110900160953078 " "
Order of pole = 3.5497015350191354 " "
x[1] = -1.9484000000000057 " "
y[1] (analytic) = 0.20849567501575547 " "
y[1] (numeric) = 0.20849567501575653 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.058675069946640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2109971055801103 " "
Order of pole = 3.5496587106378357 " "
x[1] = -1.9483000000000057 " "
y[1] (analytic) = 0.20851261552096628 " "
y[1] (numeric) = 0.20851261552096734 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0582640803709340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.210904196453497 " "
Order of pole = 3.5496158937071662 " "
x[1] = -1.9482000000000057 " "
y[1] (analytic) = 0.20852955790957894 " "
y[1] (numeric) = 0.20852955790958003 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1909545095707690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2108112887192006 " "
Order of pole = 3.5495730842770747 " "
x[1] = -1.9481000000000057 " "
y[1] (analytic) = 0.20854650218184073 " "
y[1] (numeric) = 0.20854650218184176 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9243515812258604000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.21071838238124 " "
Order of pole = 3.54953028240158 " "
x[1] = -1.9480000000000057 " "
y[1] (analytic) = 0.2085634483379986 " "
y[1] (numeric) = 0.2085634483379997 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1901110076358030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2106254774429703 " "
Order of pole = 3.549487488125216 " "
x[1] = -1.9479000000000057 " "
y[1] (analytic) = 0.20858039637829998 " "
y[1] (numeric) = 0.20858039637830103 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0566203330104880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.210532573908472 " "
Order of pole = 3.5494447015028925 " "
x[1] = -1.9478000000000057 " "
y[1] (analytic) = 0.20859734630299198 " "
y[1] (numeric) = 0.20859734630299304 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0562094489059700000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.210439671781545 " "
Order of pole = 3.5494019225855133 " "
x[1] = -1.9477000000000058 " "
y[1] (analytic) = 0.20861429811232188 " "
y[1] (numeric) = 0.20861429811232296 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.188845917103471000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2103467710659475 " "
Order of pole = 3.549359151423374 " "
x[1] = -1.9476000000000058 " "
y[1] (analytic) = 0.20863125180653702 " "
y[1] (numeric) = 0.2086312518065381 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1884242635580580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.210253871765159 " "
Order of pole = 3.549316388062831 " "
x[1] = -1.9475000000000058 " "
y[1] (analytic) = 0.20864820738588472 " "
y[1] (numeric) = 0.20864820738588583 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3210283401661480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.210160973883409 " "
Order of pole = 3.5492736325608973 " "
x[1] = -1.9474000000000058 " "
y[1] (analytic) = 0.20866516485061243 " "
y[1] (numeric) = 0.20866516485061348 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0545661234302720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2100680774244217 " "
Order of pole = 3.5492308849674217 " "
x[1] = -1.9473000000000058 " "
y[1] (analytic) = 0.2086821242009674 " "
y[1] (numeric) = 0.2086821242009685 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1871594328179150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.209975182391743 " "
Order of pole = 3.5491881453296763 " "
x[1] = -1.9472000000000058 " "
y[1] (analytic) = 0.2086990854371972 " "
y[1] (numeric) = 0.20869908543719828 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1867378658698970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.209882288789208 " "
Order of pole = 3.549145413699115 " "
x[1] = -1.9471000000000058 " "
y[1] (analytic) = 0.20871604855954926 " "
y[1] (numeric) = 0.20871604855955034 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.186316320571230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.209789396620779 " "
Order of pole = 3.5491026901289544 " "
x[1] = -1.9470000000000058 " "
y[1] (analytic) = 0.2087330135682711 " "
y[1] (numeric) = 0.20873301356827215 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0529231354623750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.209696505890009 " "
Order of pole = 3.5490599746665907 " "
x[1] = -1.9469000000000058 " "
y[1] (analytic) = 0.2087499804636102 " "
y[1] (numeric) = 0.20874998046361126 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0525124412059930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2096036166011603 " "
Order of pole = 3.549017267369539 " "
x[1] = -1.9468000000000059 " "
y[1] (analytic) = 0.20876694924581418 " "
y[1] (numeric) = 0.20876694924581526 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.185051814571320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2095107287573437 " "
Order of pole = 3.548974568278908 " "
x[1] = -1.9467000000000059 " "
y[1] (analytic) = 0.2087839199151307 " "
y[1] (numeric) = 0.20878391991513173 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.918751876081840500000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.20941784236281 " "
Order of pole = 3.5489318774520733 " "
x[1] = -1.9466000000000059 " "
y[1] (analytic) = 0.20880089247180725 " "
y[1] (numeric) = 0.20880089247180833 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1842089188181260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2093249574212717 " "
Order of pole = 3.5488891949387025 " "
x[1] = -1.946500000000006 " "
y[1] (analytic) = 0.20881786691609167 " "
y[1] (numeric) = 0.20881786691609272 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0508698751228440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2092320739361613 " "
Order of pole = 3.548846520784508 " "
x[1] = -1.946400000000006 " "
y[1] (analytic) = 0.2088348432482315 " "
y[1] (numeric) = 0.2088348432482326 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1833661096623270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.209139191911958 " "
Order of pole = 3.54880385505011 " "
x[1] = -1.946300000000006 " "
y[1] (analytic) = 0.20885182146847459 " "
y[1] (numeric) = 0.2088518214684757 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3158407564702070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2090463113519236 " "
Order of pole = 3.548761197778777 " "
x[1] = -1.946200000000006 " "
y[1] (analytic) = 0.20886880157706872 " "
y[1] (numeric) = 0.2088688015770698 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1825233871039240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.208953432259984 " "
Order of pole = 3.548718549023249 " "
x[1] = -1.946100000000006 " "
y[1] (analytic) = 0.20888578357426166 " "
y[1] (numeric) = 0.2088857835742627 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0492276465474960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2088605546398794 " "
Order of pole = 3.5486759088336406 " "
x[1] = -1.946000000000006 " "
y[1] (analytic) = 0.2089027674603012 " "
y[1] (numeric) = 0.20890276746030226 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0488171421392520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2087676784953696 " "
Order of pole = 3.5486332772603078 " "
x[1] = -1.945900000000006 " "
y[1] (analytic) = 0.20891975323543527 " "
y[1] (numeric) = 0.20891975323543632 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0484066588252460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.208674803830283 " "
Order of pole = 3.54859065435463 " "
x[1] = -1.945800000000006 " "
y[1] (analytic) = 0.20893674089991177 " "
y[1] (numeric) = 0.20893674089991282 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0479961966054780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2085819306483114 " "
Order of pole = 3.548548040166004 " "
x[1] = -1.945700000000006 " "
y[1] (analytic) = 0.20895373045397864 " "
y[1] (numeric) = 0.20895373045397966 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 4.9147545513883690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2084890589537 " "
Order of pole = 3.548505434751746 " "
x[1] = -1.945600000000006 " "
y[1] (analytic) = 0.2089707218978838 " "
y[1] (numeric) = 0.20897072189788485 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 5.0471753354486530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.208396188749656 " "
Order of pole = 3.548462838154393 " "
x[1] = -1.945500000000006 " "
y[1] (analytic) = 0.2089877152318753 " "
y[1] (numeric) = 0.20898771523187637 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1795745401040070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.208303320039887 " "
Order of pole = 3.548420250423561 " "
x[1] = -1.945400000000006 " "
y[1] (analytic) = 0.20900471045620117 " "
y[1] (numeric) = 0.20900471045620225 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1791533628442720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.208210452828896 " "
Order of pole = 3.548377671620255 " "
x[1] = -1.945300000000006 " "
y[1] (analytic) = 0.2090217075711095 " "
y[1] (numeric) = 0.20902170757111058 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.1787322072338850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2081175871198417 " "
Order of pole = 3.548335101786318 " "
x[1] = -1.945200000000006 " "
y[1] (analytic) = 0.20903870657684834 " "
y[1] (numeric) = 0.20903870657684945 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3110882802798440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2080247229169006 " "
Order of pole = 3.5482925409780677 " "
x[1] = -1.945100000000006 " "
y[1] (analytic) = 0.2090557074736659 " "
y[1] (numeric) = 0.209055707473667 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3106563702165740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207931860223338 " "
Order of pole = 3.54824998923889 " "
x[1] = -1.945000000000006 " "
y[1] (analytic) = 0.2090727102618103 " "
y[1] (numeric) = 0.2090727102618114 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3102244823577650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207838999043522 " "
Order of pole = 3.5482074466278384 " "
x[1] = -1.944900000000006 " "
y[1] (analytic) = 0.2090897149415297 " "
y[1] (numeric) = 0.20908971494153084 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4425374321210020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207746139381109 " "
Order of pole = 3.5481649131938617 " "
x[1] = -1.944800000000006 " "
y[1] (analytic) = 0.20910672151307244 " "
y[1] (numeric) = 0.20910672151307358 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4420947925848670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2076532812394145 " "
Order of pole = 3.548122388981046 " "
x[1] = -1.944700000000006 " "
y[1] (analytic) = 0.20912372997668677 " "
y[1] (numeric) = 0.20912372997668788 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.30892895200810000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2075604246226703 " "
Order of pole = 3.548079874046529 " "
x[1] = -1.944600000000006 " "
y[1] (analytic) = 0.20914074033262092 " "
y[1] (numeric) = 0.20914074033262203 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3084971529671320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207467569534711 " "
Order of pole = 3.548037368441797 " "
x[1] = -1.9445000000000061 " "
y[1] (analytic) = 0.2091577525811233 " "
y[1] (numeric) = 0.2091577525811244 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3080653761306260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2073747159790735 " "
Order of pole = 3.547994872214108 " "
x[1] = -1.9444000000000061 " "
y[1] (analytic) = 0.20917476672244223 " "
y[1] (numeric) = 0.20917476672244334 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3076336214985790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2072818639594067 " "
Order of pole = 3.5479523854122803 " "
x[1] = -1.9443000000000061 " "
y[1] (analytic) = 0.20919178275682615 " "
y[1] (numeric) = 0.20919178275682726 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3072018890709940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207189013479744 " "
Order of pole = 3.5479099080906735 " "
x[1] = -1.9442000000000061 " "
y[1] (analytic) = 0.2092088006845235 " "
y[1] (numeric) = 0.20920880068452458 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 5.174100924376670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207096164544076 " "
Order of pole = 3.5478674403029906 " "
x[1] = -1.9441000000000062 " "
y[1] (analytic) = 0.20922582050578267 " "
y[1] (numeric) = 0.20922582050578378 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3063384908292030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.207003317155531 " "
Order of pole = 3.5478249820906598 " "
x[1] = -1.9440000000000062 " "
y[1] (analytic) = 0.20924284222085224 " "
y[1] (numeric) = 0.20924284222085338 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4385544956403740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2069104713186745 " "
Order of pole = 3.5477825335156297 " "
x[1] = -1.9439000000000062 " "
y[1] (analytic) = 0.2092598658299808 " "
y[1] (numeric) = 0.2092598658299819 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3054751814052540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.206817627036823 " "
Order of pole = 3.5477400946220072 " "
x[1] = -1.9438000000000062 " "
y[1] (analytic) = 0.2092768913334168 " "
y[1] (numeric) = 0.20927689133341792 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4376696489999710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2067247843134528 " "
Order of pole = 3.547697665456173 " "
x[1] = -1.9437000000000062 " "
y[1] (analytic) = 0.2092939187314089 " "
y[1] (numeric) = 0.20929391873141004 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4372272598191260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2066319431530412 " "
Order of pole = 3.5476552460788326 " "
x[1] = -1.9436000000000062 " "
y[1] (analytic) = 0.20931094802420572 " "
y[1] (numeric) = 0.20931094802420688 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5693894029929250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.20653910355928 " "
Order of pole = 3.547612836539461 " "
x[1] = -1.9435000000000062 " "
y[1] (analytic) = 0.209327979212056 " "
y[1] (numeric) = 0.20932797921205712 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.3037488290108840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.206446265535323 " "
Order of pole = 3.5475704368798695 " "
x[1] = -1.9434000000000062 " "
y[1] (analytic) = 0.20934501229520833 " "
y[1] (numeric) = 0.20934501229520946 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4359002288340290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2063534290855724 " "
Order of pole = 3.547528047159645 " "
x[1] = -1.9433000000000062 " "
y[1] (analytic) = 0.2093620472739115 " "
y[1] (numeric) = 0.20936204727391267 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5680300753424850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2062605942133606 " "
Order of pole = 3.5474856674231887 " "
x[1] = -1.9432000000000063 " "
y[1] (analytic) = 0.20937908414841433 " "
y[1] (numeric) = 0.20937908414841547 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.435015655308489000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2061677609227957 " "
Order of pole = 3.5474432977259127 " "
x[1] = -1.9431000000000063 " "
y[1] (analytic) = 0.20939612291896556 " "
y[1] (numeric) = 0.2093961229189667 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4345734026850780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2060749292178077 " "
Order of pole = 3.5474009381207097 " "
x[1] = -1.9430000000000063 " "
y[1] (analytic) = 0.20941316358581402 " "
y[1] (numeric) = 0.2094131635858152 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5666709575241960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.205982099101335 " "
Order of pole = 3.547358588646322 " "
x[1] = -1.9429000000000063 " "
y[1] (analytic) = 0.20943020614920863 " "
y[1] (numeric) = 0.2094302061492098 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5662179648808000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2058892705782682 " "
Order of pole = 3.5473162493693557 " "
x[1] = -1.9428000000000063 " "
y[1] (analytic) = 0.20944725060939828 " "
y[1] (numeric) = 0.20944725060939942 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4332467813722750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.205796443651441 " "
Order of pole = 3.547273920327079 " "
x[1] = -1.9427000000000063 " "
y[1] (analytic) = 0.20946429696663185 " "
y[1] (numeric) = 0.20946429696663302 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5653120495380580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2057036183252317 " "
Order of pole = 3.5472316015787904 " "
x[1] = -1.9426000000000063 " "
y[1] (analytic) = 0.20948134522115838 " "
y[1] (numeric) = 0.20948134522115955 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5648591268387130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2056107946033845 " "
Order of pole = 3.547189293174732 " "
x[1] = -1.9425000000000063 " "
y[1] (analytic) = 0.20949839537322687 " "
y[1] (numeric) = 0.209498395373228 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.431920364895620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.205517972489252 " "
Order of pole = 3.5471469951595935 " "
x[1] = -1.9424000000000063 " "
y[1] (analytic) = 0.20951544742308628 " "
y[1] (numeric) = 0.20951544742308745 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5639533513840730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.205425151987035 " "
Order of pole = 3.5471047075901296 " "
x[1] = -1.9423000000000064 " "
y[1] (analytic) = 0.2095325013709858 " "
y[1] (numeric) = 0.20953250137098695 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4310362010423770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2053323331003045 " "
Order of pole = 3.54706243051416 " "
x[1] = -1.9422000000000064 " "
y[1] (analytic) = 0.2095495572171744 " "
y[1] (numeric) = 0.20954955721717558 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.6955011851212190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.205239515832807 " "
Order of pole = 3.547020163981955 " "
x[1] = -1.9421000000000064 " "
y[1] (analytic) = 0.20956661496190138 " "
y[1] (numeric) = 0.20956661496190251 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 5.4301521282274220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2051467001883793 " "
Order of pole = 3.5469779080451325 " "
x[1] = -1.9420000000000064 " "
y[1] (analytic) = 0.20958367460541572 " "
y[1] (numeric) = 0.2095836746054169 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.6945740345426840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2050538861708993 " "
Order of pole = 3.5469356627558533 " "
x[1] = -1.9419000000000064 " "
y[1] (analytic) = 0.20960073614796676 " "
y[1] (numeric) = 0.20960073614796795 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.694110495058110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.204961073783874 " "
Order of pole = 3.5468934281610345 " "
x[1] = -1.9418000000000064 " "
y[1] (analytic) = 0.2096177995898037 " "
y[1] (numeric) = 0.2096177995898049 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.6936469794433310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.204868263031298 " "
Order of pole = 3.5468512043144997 " "
x[1] = -1.9417000000000064 " "
y[1] (analytic) = 0.20963486493117583 " "
y[1] (numeric) = 0.209634864931177 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5607838717053610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.204775453916819 " "
Order of pole = 3.54680899126517 " "
x[1] = -1.9416000000000064 " "
y[1] (analytic) = 0.2096519321723324 " "
y[1] (numeric) = 0.20965193217233358 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 5.5603311821528510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.204682646444615 " "
Order of pole = 3.5467667890695225 " "
x[1] = -1.9415000000000064 " "
y[1] (analytic) = 0.20966900131352278 " "
y[1] (numeric) = 0.20966900131352398 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.6922565758177630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2045898406177984 " "
Order of pole = 3.5467245977688258 " "
x[1] = -1.9414000000000065 " "
y[1] (analytic) = 0.20968607235499637 " "
y[1] (numeric) = 0.20968607235499756 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.6917931556821630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2044970364407703 " "
Order of pole = 3.546682417422751 " "
x[1] = -1.9413000000000065 " "
y[1] (analytic) = 0.2097031452970025 " "
y[1] (numeric) = 0.2097031452970037 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.691329759416360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2044042339167733 " "
Order of pole = 3.5466402480744215 " "
x[1] = -1.9412000000000065 " "
y[1] (analytic) = 0.2097202201397907 " "
y[1] (numeric) = 0.20972022013979189 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 5.6908663870203510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2043114330499685 " "
Order of pole = 3.5465980897800797 " "
x[1] = -1.9411000000000065 " "
y[1] (analytic) = 0.20973729688361034 " "
y[1] (numeric) = 0.20973729688361156 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 5.8227379928777220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2042186338436265 " "
Order of pole = 3.5465559425832858 " "
x[1] = -1.9410000000000065 " "
y[1] (analytic) = 0.209754375528711 " "
y[1] (numeric) = 0.20975437552871223 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 5.8222638932292940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.204125836302418 " "
Order of pole = 3.5465138065475657 " "
x[1] = -1.9409000000000065 " "
y[1] (analytic) = 0.20977145607534223 " "
y[1] (numeric) = 0.20977145607534345 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 5.8217898180057710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2040330404290867 " "
Order of pole = 3.5464716817089332 " "
x[1] = -1.9408000000000065 " "
y[1] (analytic) = 0.20978853852375354 " "
y[1] (numeric) = 0.20978853852375476 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 5.8213157672071560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.20394024622828 " "
Order of pole = 3.5464295681305913 " "
x[1] = -1.9407000000000065 " "
y[1] (analytic) = 0.20980562287419455 " "
y[1] (numeric) = 0.2098056228741958 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9531335985796620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2038474537029287 " "
Order of pole = 3.5463874658512466 " "
x[1] = -1.9406000000000065 " "
y[1] (analytic) = 0.20982270912691495 " "
y[1] (numeric) = 0.20982270912691617 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 5.8203677388846430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.203754662857496 " "
Order of pole = 3.546345374931473 " "
x[1] = -1.9405000000000066 " "
y[1] (analytic) = 0.20983979728216431 " "
y[1] (numeric) = 0.20983979728216556 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9521640741189470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2036618736951756 " "
Order of pole = 3.546303295413729 " "
x[1] = -1.9404000000000066 " "
y[1] (analytic) = 0.20985688734019245 " "
y[1] (numeric) = 0.2098568873401937 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9516793493586160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.203569086220468 " "
Order of pole = 3.5462612273591283 " "
x[1] = -1.9403000000000066 " "
y[1] (analytic) = 0.20987397930124901 " "
y[1] (numeric) = 0.2098739793012503 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0834434195689350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2034763004364923 " "
Order of pole = 3.546219170809085 " "
x[1] = -1.9402000000000066 " "
y[1] (analytic) = 0.20989107316558386 " "
y[1] (numeric) = 0.2098910731655851 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9507099747780110000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.203383516347405 " "
Order of pole = 3.5461771258198027 " "
x[1] = -1.9401000000000066 " "
y[1] (analytic) = 0.20990816893344674 " "
y[1] (numeric) = 0.209908168933448 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9502253249577340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.203290733956929 " "
Order of pole = 3.5461350924413075 " "
x[1] = -1.9400000000000066 " "
y[1] (analytic) = 0.20992526660508748 " "
y[1] (numeric) = 0.20992526660508873 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9497407001174760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2031979532683974 " "
Order of pole = 3.5460930707180687 " "
x[1] = -1.9399000000000066 " "
y[1] (analytic) = 0.20994236618075598 " "
y[1] (numeric) = 0.20994236618075723 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9492561002572360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2031051742860424 " "
Order of pole = 3.546051060707377 " "
x[1] = -1.9398000000000066 " "
y[1] (analytic) = 0.20995946766070211 " "
y[1] (numeric) = 0.2099594676607034 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0809664481631720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2030123970135205 " "
Order of pole = 3.546009062458321 " "
x[1] = -1.9397000000000066 " "
y[1] (analytic) = 0.20997657104517586 " "
y[1] (numeric) = 0.20997657104517714 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0804711304874080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2029196214545457 " "
Order of pole = 3.5459670760208297 " "
x[1] = -1.9396000000000067 " "
y[1] (analytic) = 0.2099936763344272 " "
y[1] (numeric) = 0.20999367633442848 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0799758383467740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2028268476128043 " "
Order of pole = 3.5459251014444 " "
x[1] = -1.9395000000000067 " "
y[1] (analytic) = 0.21001078352870609 " "
y[1] (numeric) = 0.2100107835287074 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.211643192866080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2027340754923075 " "
Order of pole = 3.5458831387832035 " "
x[1] = -1.9394000000000067 " "
y[1] (analytic) = 0.2100278926282626 " "
y[1] (numeric) = 0.2100278926282639 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2111371856854780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2026413050966243 " "
Order of pole = 3.5458411880850775 " "
x[1] = -1.9393000000000067 " "
y[1] (analytic) = 0.21004500363334686 " "
y[1] (numeric) = 0.2100450036333481 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9463490256761760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.202548536429662 " "
Order of pole = 3.5457992494027266 " "
x[1] = -1.9392000000000067 " "
y[1] (analytic) = 0.2100621165442088 " "
y[1] (numeric) = 0.21006211654421011 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2101252495950010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2024557694950833 " "
Order of pole = 3.545757322785306 " "
x[1] = -1.9391000000000067 " "
y[1] (analytic) = 0.21007923136109877 " "
y[1] (numeric) = 0.21007923136110004 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0774997606705460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.202363004296606 " "
Order of pole = 3.5457154082828417 " "
x[1] = -1.9390000000000067 " "
y[1] (analytic) = 0.21009634808426683 " "
y[1] (numeric) = 0.21009634808426808 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 5.9448958256158910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2022702408379704 " "
Order of pole = 3.545673505945615 " "
x[1] = -1.9389000000000067 " "
y[1] (analytic) = 0.21011346671396317 " "
y[1] (numeric) = 0.21011346671396444 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0765095083459620000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2021774791229065 " "
Order of pole = 3.5456316158238046 " "
x[1] = -1.9388000000000067 " "
y[1] (analytic) = 0.2101305872504381 " "
y[1] (numeric) = 0.21013058725043937 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0760144204863640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2020847191557524 " "
Order of pole = 3.545589737976236 " "
x[1] = -1.9387000000000068 " "
y[1] (analytic) = 0.21014770969394184 " "
y[1] (numeric) = 0.2101477096939431 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0755193581618960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2019919609395315 " "
Order of pole = 3.5455478724430094 " "
x[1] = -1.9386000000000068 " "
y[1] (analytic) = 0.21016483404472472 " "
y[1] (numeric) = 0.210164834044726 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0750243213725570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2018992044782406 " "
Order of pole = 3.5455060192781005 " "
x[1] = -1.9385000000000068 " "
y[1] (analytic) = 0.21018196030303707 " "
y[1] (numeric) = 0.21018196030303837 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2065842951209230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2018064497758845 " "
Order of pole = 3.5454641785356067 " "
x[1] = -1.9384000000000068 " "
y[1] (analytic) = 0.2101990884691293 " "
y[1] (numeric) = 0.2101990884691306 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2060785488427320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2017136968357383 " "
Order of pole = 3.545422350259223 " "
x[1] = -1.9383000000000068 " "
y[1] (analytic) = 0.2102162185432518 " "
y[1] (numeric) = 0.21021621854325306 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0735393642153190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2016209456621225 " "
Order of pole = 3.5453805345075438 " "
x[1] = -1.9382000000000068 " "
y[1] (analytic) = 0.21023335052565498 " "
y[1] (numeric) = 0.21023335052565625 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0730444295664990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2015281962582747 " "
Order of pole = 3.5453387313237315 " "
x[1] = -1.9381000000000068 " "
y[1] (analytic) = 0.21025048441658928 " "
y[1] (numeric) = 0.2102504844165906 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.336573412646410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2014354486281036 " "
Order of pole = 3.5452969407605153 " "
x[1] = -1.9380000000000068 " "
y[1] (analytic) = 0.21026762021630535 " "
y[1] (numeric) = 0.21026762021630666 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2040558246323830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2013427027758783 " "
Order of pole = 3.5452551628757973 " "
x[1] = -1.9379000000000068 " "
y[1] (analytic) = 0.2102847579250536 " "
y[1] (numeric) = 0.2102847579250549 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2035502088053980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2012499587047256 " "
Order of pole = 3.5452133977111515 " "
x[1] = -1.9378000000000069 " "
y[1] (analytic) = 0.21030189754308465 " "
y[1] (numeric) = 0.21030189754308598 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3350242918147970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.201157216418731 " "
Order of pole = 3.545171645321851 " "
x[1] = -1.9377000000000069 " "
y[1] (analytic) = 0.21031903907064914 " "
y[1] (numeric) = 0.21031903907065044 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2025390554221530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2010644759213607 " "
Order of pole = 3.5451299057543295 " "
x[1] = -1.9376000000000069 " "
y[1] (analytic) = 0.21033618250799768 " "
y[1] (numeric) = 0.21033618250799896 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0700753579112980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.200971737216653 " "
Order of pole = 3.5450881790631854 " "
x[1] = -1.9375000000000069 " "
y[1] (analytic) = 0.2103533278553809 " "
y[1] (numeric) = 0.21035332785538222 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2015280063998710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2008790003082668 " "
Order of pole = 3.5450464652976237 " "
x[1] = -1.937400000000007 " "
y[1] (analytic) = 0.21037047511304957 " "
y[1] (numeric) = 0.2103704751130509 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3329591704075850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2007862652001076 " "
Order of pole = 3.5450047645103275 " "
x[1] = -1.937300000000007 " "
y[1] (analytic) = 0.21038762428125443 " "
y[1] (numeric) = 0.21038762428125576 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3324429566691630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2006935318956926 " "
Order of pole = 3.5449630767485196 " "
x[1] = -1.937200000000007 " "
y[1] (analytic) = 0.2104047753602463 " "
y[1] (numeric) = 0.2104047753602476 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.2000116285432580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.200600800398615 " "
Order of pole = 3.5449214020604103 " "
x[1] = -1.937100000000007 " "
y[1] (analytic) = 0.2104219283502759 " "
y[1] (numeric) = 0.2104219283502772 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.1995062214382010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2005080707131146 " "
Order of pole = 3.5448797405035286 " "
x[1] = -1.937000000000007 " "
y[1] (analytic) = 0.21043908325159408 " "
y[1] (numeric) = 0.2104390832515954 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3308944753260130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2004153428427897 " "
Order of pole = 3.5448380921262093 " "
x[1] = -1.936900000000007 " "
y[1] (analytic) = 0.21045624006445177 " "
y[1] (numeric) = 0.2104562400644531 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3303783681690020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2003226167910737 " "
Order of pole = 3.5447964569744315 " "
x[1] = -1.936800000000007 " "
y[1] (analytic) = 0.21047339878909987 " "
y[1] (numeric) = 0.21047339878910118 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.1979901566644800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.200229892562203 " "
Order of pole = 3.544754835105657 " "
x[1] = -1.936700000000007 " "
y[1] (analytic) = 0.21049055942578934 " "
y[1] (numeric) = 0.21049055942579062 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 6.0656234740497420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2001371701595387 " "
Order of pole = 3.544713226564859 " "
x[1] = -1.936600000000007 " "
y[1] (analytic) = 0.21050772197477105 " "
y[1] (numeric) = 0.21050772197477238 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3288302065700830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.2000444495870313 " "
Order of pole = 3.5446716314053894 " "
x[1] = -1.936500000000007 " "
y[1] (analytic) = 0.21052488643629616 " "
y[1] (numeric) = 0.21052488643629746 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 6.196474326702930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199951730848336 " "
Order of pole = 3.5446300496764565 " "
x[1] = -1.936400000000007 " "
y[1] (analytic) = 0.2105420528106156 " "
y[1] (numeric) = 0.21054205281061694 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3277982320642320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199859013947226 " "
Order of pole = 3.544588481428889 " "
x[1] = -1.936300000000007 " "
y[1] (analytic) = 0.21055922109798053 " "
y[1] (numeric) = 0.21055922109798186 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3272822847793380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1997662988875617 " "
Order of pole = 3.5445469267147978 " "
x[1] = -1.936200000000007 " "
y[1] (analytic) = 0.210576391298642 " "
y[1] (numeric) = 0.21057639129864336 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 6.4585739967260390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1996735856728584 " "
Order of pole = 3.544505385581367 " "
x[1] = -1.936100000000007 " "
y[1] (analytic) = 0.2105935634128512 " "
y[1] (numeric) = 0.21059356341285257 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 6.4580473549403030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199580874307238 " "
Order of pole = 3.544463858084427 " "
x[1] = -1.936000000000007 " "
y[1] (analytic) = 0.2106107374408593 " "
y[1] (numeric) = 0.21061073744086065 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.3257346027967640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199488164794137 " "
Order of pole = 3.544422344270057 " "
x[1] = -1.935900000000007 " "
y[1] (analytic) = 0.21062791338291748 " "
y[1] (numeric) = 0.21062791338291884 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 6.4569941529702230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199395457137462 " "
Order of pole = 3.5443808441910107 " "
x[1] = -1.935800000000007 " "
y[1] (analytic) = 0.21064509123927702 " "
y[1] (numeric) = 0.21064509123927838 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 6.4564675927858800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1993027513408463 " "
Order of pole = 3.5443393578961846 " "
x[1] = -1.935700000000007 " "
y[1] (analytic) = 0.2106622710101892 " "
y[1] (numeric) = 0.21066227101019055 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 6.4559410598020000000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199210047408227 " "
Order of pole = 3.544297885438798 " "
x[1] = -1.935600000000007 " "
y[1] (analytic) = 0.2106794526959053 " "
y[1] (numeric) = 0.21067945269590668 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5871577081822270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.199117345342855 " "
Order of pole = 3.544256426862262 " "
x[1] = -1.935500000000007 " "
y[1] (analytic) = 0.2106966362966767 " "
y[1] (numeric) = 0.2106966362966781 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.58662048513840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1990246451492452 " "
Order of pole = 3.544214982228045 " "
x[1] = -1.9354000000000071 " "
y[1] (analytic) = 0.2107138218127548 " "
y[1] (numeric) = 0.21071382181275616 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 6.4543616240531430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19893194683029 " "
Order of pole = 3.544173551574474 " "
x[1] = -1.9353000000000071 " "
y[1] (analytic) = 0.21073100924439092 " "
y[1] (numeric) = 0.21073100924439234 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.717257044763820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.198839250390645 " "
Order of pole = 3.544132134965025 " "
x[1] = -1.9352000000000071 " "
y[1] (analytic) = 0.2107481985918366 " "
y[1] (numeric) = 0.21074819859183802 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7167091621911770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1987465558331656 " "
Order of pole = 3.5440907324374926 " "
x[1] = -1.9351000000000071 " "
y[1] (analytic) = 0.21076538985534335 " "
y[1] (numeric) = 0.21076538985534474 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5844718705188430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1986538631622428 " "
Order of pole = 3.5440493440515866 " "
x[1] = -1.9350000000000072 " "
y[1] (analytic) = 0.21078258303516256 " "
y[1] (numeric) = 0.21078258303516398 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7156134819779510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.198561172381267 " "
Order of pole = 3.5440079698527533 " "
x[1] = -1.9349000000000072 " "
y[1] (analytic) = 0.21079977813154588 " "
y[1] (numeric) = 0.2107997781315473 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7150656843373690000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1984684834942305 " "
Order of pole = 3.5439666098950156 " "
x[1] = -1.9348000000000072 " "
y[1] (analytic) = 0.21081697514474487 " "
y[1] (numeric) = 0.21081697514474626 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5828607009877180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.198375796504705 " "
Order of pole = 3.543925264226395 " "
x[1] = -1.9347000000000072 " "
y[1] (analytic) = 0.21083417407501112 " "
y[1] (numeric) = 0.2108341740750125 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5823236999884950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.198283111416484 " "
Order of pole = 3.543883932898101 " "
x[1] = -1.9346000000000072 " "
y[1] (analytic) = 0.21085137492259629 " "
y[1] (numeric) = 0.21085137492259767 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5817867267448480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.198190428233365 " "
Order of pole = 3.543842615961381 " "
x[1] = -1.9345000000000072 " "
y[1] (analytic) = 0.21086857768775202 " "
y[1] (numeric) = 0.21086857768775347 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8444997725070480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1980977469587684 " "
Order of pole = 3.543801313462115 " "
x[1] = -1.9344000000000072 " "
y[1] (analytic) = 0.21088578237073016 " "
y[1] (numeric) = 0.21088578237073158 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7123271207947650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.198005067597162 " "
Order of pole = 3.5437600254611468 " "
x[1] = -1.9343000000000072 " "
y[1] (analytic) = 0.21090298897178233 " "
y[1] (numeric) = 0.21090298897178375 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7117794930183060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.197912390151281 " "
Order of pole = 3.5437187519945716 " "
x[1] = -1.9342000000000072 " "
y[1] (analytic) = 0.21092019749116037 " "
y[1] (numeric) = 0.21092019749116178 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7112318935525340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.197819714625917 " "
Order of pole = 3.543677493127838 " "
x[1] = -1.9341000000000073 " "
y[1] (analytic) = 0.21093740792911608 " "
y[1] (numeric) = 0.2109374079291175 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7106843223974490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1977270410241108 " "
Order of pole = 3.5436362489014464 " "
x[1] = -1.9340000000000073 " "
y[1] (analytic) = 0.2109546202859013 " "
y[1] (numeric) = 0.21095462028590273 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7101367795530510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1976343693497435 " "
Order of pole = 3.5435950193678423 " "
x[1] = -1.9339000000000073 " "
y[1] (analytic) = 0.21097183456176796 " "
y[1] (numeric) = 0.21097183456176938 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.709589265019340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1975416996064467 " "
Order of pole = 3.543553804575936 " "
x[1] = -1.9338000000000073 " "
y[1] (analytic) = 0.21098905075696797 " "
y[1] (numeric) = 0.21098905075696936 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5774919399963880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1974490317981266 " "
Order of pole = 3.543512604578588 " "
x[1] = -1.9337000000000073 " "
y[1] (analytic) = 0.21100626887175322 " "
y[1] (numeric) = 0.21100626887175464 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.708494320883980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1973563659286435 " "
Order of pole = 3.5434714194279557 " "
x[1] = -1.9336000000000073 " "
y[1] (analytic) = 0.21102348890637573 " "
y[1] (numeric) = 0.21102348890637718 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8394752616996310000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.197263702001427 " "
Order of pole = 3.5434302491700898 " "
x[1] = -1.9335000000000073 " "
y[1] (analytic) = 0.2110407108610876 " "
y[1] (numeric) = 0.211040710861089 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5758818529327120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.197171040020477 " "
Order of pole = 3.5433890938591617 " "
x[1] = -1.9334000000000073 " "
y[1] (analytic) = 0.21105793473614073 " "
y[1] (numeric) = 0.21105793473614215 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7068521170110930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1970783799893856 " "
Order of pole = 3.543347953543538 " "
x[1] = -1.9333000000000073 " "
y[1] (analytic) = 0.21107516053178732 " "
y[1] (numeric) = 0.21107516053178874 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 6.7063047723415050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1969857219118984 " "
Order of pole = 3.5433068282737814 " "
x[1] = -1.9332000000000074 " "
y[1] (analytic) = 0.21109238824827947 " "
y[1] (numeric) = 0.21109238824828086 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 6.5742720156692190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1968930657917225 " "
Order of pole = 3.5432657180998923 " "
x[1] = -1.9331000000000074 " "
y[1] (analytic) = 0.21110961788586927 " "
y[1] (numeric) = 0.2111096178858707 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8366848771095750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1968004116327133 " "
Order of pole = 3.543224623074021 " "
x[1] = -1.9330000000000074 " "
y[1] (analytic) = 0.21112684944480897 " "
y[1] (numeric) = 0.21112684944481044 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.9675908653810560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1967077594384885 " "
Order of pole = 3.5431835432448864 " "
x[1] = -1.9329000000000074 " "
y[1] (analytic) = 0.21114408292535083 " "
y[1] (numeric) = 0.21114408292535228 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8355689253341430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1966151092126434 " "
Order of pole = 3.5431424786609185 " "
x[1] = -1.9328000000000074 " "
y[1] (analytic) = 0.21116131832774704 " "
y[1] (numeric) = 0.21116131832774848 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8350109927451240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.196522460959306 " "
Order of pole = 3.543101429378151 " "
x[1] = -1.9327000000000074 " "
y[1] (analytic) = 0.21117855565224988 " "
y[1] (numeric) = 0.21117855565225133 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8344530890219060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1964298146821735 " "
Order of pole = 3.5430603954464814 " "
x[1] = -1.9326000000000074 " "
y[1] (analytic) = 0.2111957948991117 " "
y[1] (numeric) = 0.21119579489911317 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.965316275975341000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1963371703845356 " "
Order of pole = 3.5430193769099567 " "
x[1] = -1.9325000000000074 " "
y[1] (analytic) = 0.21121303606858485 " "
y[1] (numeric) = 0.21121303606858632 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.9647477021761870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1962445280702987 " "
Order of pole = 3.5429783738214766 " "
x[1] = -1.9324000000000074 " "
y[1] (analytic) = 0.21123027916092174 " "
y[1] (numeric) = 0.2112302791609232 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.9641791577979430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1961518877431994 " "
Order of pole = 3.542937386231486 " "
x[1] = -1.9323000000000075 " "
y[1] (analytic) = 0.2112475241763748 " "
y[1] (numeric) = 0.21124752417637624 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 6.8322217627870130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1960592494072317 " "
Order of pole = 3.5428964141941357 " "
x[1] = -1.9322000000000075 " "
y[1] (analytic) = 0.21126477111519637 " "
y[1] (numeric) = 0.21126477111519787 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0944203112155870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.195966613065796 " "
Order of pole = 3.542855457755067 " "
x[1] = -1.9321000000000075 " "
y[1] (analytic) = 0.21128201997763912 " "
y[1] (numeric) = 0.2112820199776406 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.9624737011886740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19587397872264 " "
Order of pole = 3.54281451696491 " "
x[1] = -1.9320000000000075 " "
y[1] (analytic) = 0.21129927076395547 " "
y[1] (numeric) = 0.21129927076395694 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.9619052744940710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.195781346381842 " "
Order of pole = 3.542773591879019 " "
x[1] = -1.9319000000000075 " "
y[1] (analytic) = 0.21131652347439797 " "
y[1] (numeric) = 0.21131652347439944 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 6.9613368772203790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1956887160465213 " "
Order of pole = 3.5427326825390466 " "
x[1] = -1.9318000000000075 " "
y[1] (analytic) = 0.21133377810921922 " "
y[1] (numeric) = 0.21133377810922072 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0921037642613260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1955960877212917 " "
Order of pole = 3.5426917890080105 " "
x[1] = -1.9317000000000075 " "
y[1] (analytic) = 0.2113510346686719 " "
y[1] (numeric) = 0.2113510346686734 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0915247024628150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.195503461408751 " "
Order of pole = 3.5426509113201057 " "
x[1] = -1.9316000000000075 " "
y[1] (analytic) = 0.21136829315300862 " "
y[1] (numeric) = 0.21136829315301012 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0909456706403240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1954108371136423 " "
Order of pole = 3.542610049540208 " "
x[1] = -1.9315000000000075 " "
y[1] (analytic) = 0.2113855535624821 " "
y[1] (numeric) = 0.2113855535624836 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0903666687938550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1953182148389523 " "
Order of pole = 3.5425692037080765 " "
x[1] = -1.9314000000000076 " "
y[1] (analytic) = 0.211402815897345 " "
y[1] (numeric) = 0.21140281589734652 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2210800616812520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1952255945889063 " "
Order of pole = 3.5425283738811792 " "
x[1] = -1.9313000000000076 " "
y[1] (analytic) = 0.21142008015785016 " "
y[1] (numeric) = 0.2114200801578517 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2204903986406340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.195132976366756 " "
Order of pole = 3.542487560103094 " "
x[1] = -1.9312000000000076 " "
y[1] (analytic) = 0.21143734634425035 " "
y[1] (numeric) = 0.21143734634425188 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.219900766131150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.195040360176655 " "
Order of pole = 3.542446762430263 " "
x[1] = -1.9311000000000076 " "
y[1] (analytic) = 0.21145461445679842 " "
y[1] (numeric) = 0.21145461445679992 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0880509611682010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1949477460221285 " "
Order of pole = 3.5424059809101713 " "
x[1] = -1.9310000000000076 " "
y[1] (analytic) = 0.21147188449574716 " "
y[1] (numeric) = 0.21147188449574866 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0874721092018420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1948551339070406 " "
Order of pole = 3.5423652155951295 " "
x[1] = -1.9309000000000076 " "
y[1] (analytic) = 0.21148915646134953 " "
y[1] (numeric) = 0.21148915646135102 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0868932872115030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1947625238346014 " "
Order of pole = 3.5423244665281324 " "
x[1] = -1.9308000000000076 " "
y[1] (analytic) = 0.2115064303538584 " "
y[1] (numeric) = 0.21150643035385994 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2175425414045440000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1946699158091896 " "
Order of pole = 3.5422837337688584 " "
x[1] = -1.9307000000000076 " "
y[1] (analytic) = 0.21152370617352684 " "
y[1] (numeric) = 0.21152370617352834 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0857357331588930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.194577309834276 " "
Order of pole = 3.5422430173640045 " "
x[1] = -1.9306000000000076 " "
y[1] (analytic) = 0.2115409839206077 " "
y[1] (numeric) = 0.21154098392060924 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3475702233594590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19448470591347 " "
Order of pole = 3.542202317362296 " "
x[1] = -1.9305000000000077 " "
y[1] (analytic) = 0.21155826359535415 " "
y[1] (numeric) = 0.21155826359535568 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2157741934364870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1943921040505536 " "
Order of pole = 3.5421616338148745 " "
x[1] = -1.9304000000000077 " "
y[1] (analytic) = 0.21157554519801916 " "
y[1] (numeric) = 0.2115755451980207 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2151848051760680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.194299504248965 " "
Order of pole = 3.542120966768014 " "
x[1] = -1.9303000000000077 " "
y[1] (analytic) = 0.21159282872885588 " "
y[1] (numeric) = 0.2115928287288574 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2145954474467820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.194206906513073 " "
Order of pole = 3.542080316281254 " "
x[1] = -1.9302000000000077 " "
y[1] (analytic) = 0.21161011418811743 " "
y[1] (numeric) = 0.21161011418811893 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0828423726077450000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.194114310845943 " "
Order of pole = 3.5420396823955365 " "
x[1] = -1.9301000000000077 " "
y[1] (analytic) = 0.21162740157605692 " "
y[1] (numeric) = 0.21162740157605844 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.213416823581610000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1940217172518195 " "
Order of pole = 3.5419990651686533 " "
x[1] = -1.9300000000000077 " "
y[1] (analytic) = 0.21164469089292762 " "
y[1] (numeric) = 0.21164469089292914 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2128275574457230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.193929125733959 " "
Order of pole = 3.54195846464426 " "
x[1] = -1.9299000000000077 " "
y[1] (analytic) = 0.2116619821389827 " "
y[1] (numeric) = 0.21166198213898427 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3433699276926260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.193836536296417 " "
Order of pole = 3.541917880877463 " "
x[1] = -1.9298000000000077 " "
y[1] (analytic) = 0.2116792753144755 " "
y[1] (numeric) = 0.21167927531447706 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3427700097994850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1937439489426356 " "
Order of pole = 3.5418773139146076 " "
x[1] = -1.9297000000000077 " "
y[1] (analytic) = 0.2116965704196593 " "
y[1] (numeric) = 0.21169657041966083 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2110599422248630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.193651363676288 " "
Order of pole = 3.5418367638053034 " "
x[1] = -1.9296000000000078 " "
y[1] (analytic) = 0.2117138674547874 " "
y[1] (numeric) = 0.21171386745478893 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.210470798213510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.193558780501469 " "
Order of pole = 3.541796230605218 " "
x[1] = -1.9295000000000078 " "
y[1] (analytic) = 0.21173116642011322 " "
y[1] (numeric) = 0.21173116642011472 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0787929268290470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1934661994213434 " "
Order of pole = 3.5417557143567535 " "
x[1] = -1.9294000000000078 " "
y[1] (analytic) = 0.21174846731589006 " "
y[1] (numeric) = 0.2117484673158916 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2092926017842030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19337362044027 " "
Order of pole = 3.541715215119318 " "
x[1] = -1.9293000000000078 " "
y[1] (analytic) = 0.21176577014237144 " "
y[1] (numeric) = 0.211765770142373 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3397708866274540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1932810435614942 " "
Order of pole = 3.5416747329364604 " "
x[1] = -1.9292000000000078 " "
y[1] (analytic) = 0.21178307489981088 " "
y[1] (numeric) = 0.21178307489981238 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 7.0770578997070730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1931884687885366 " "
Order of pole = 3.5416342678556774 " "
x[1] = -1.9291000000000078 " "
y[1] (analytic) = 0.2118003815884617 " "
y[1] (numeric) = 0.21180038158846326 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3385714549623540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1930958961257287 " "
Order of pole = 3.5415938199359935 " "
x[1] = -1.9290000000000078 " "
y[1] (analytic) = 0.21181769020857766 " "
y[1] (numeric) = 0.21181769020857918 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2069365752991840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1930033255762993 " "
Order of pole = 3.541553389220738 " "
x[1] = -1.9289000000000078 " "
y[1] (analytic) = 0.21183500076041215 " "
y[1] (numeric) = 0.2118350007604137 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3373721476422330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1929107571441158 " "
Order of pole = 3.541512975762334 " "
x[1] = -1.9288000000000078 " "
y[1] (analytic) = 0.21185231324421888 " "
y[1] (numeric) = 0.2118523132442204 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2057587452434750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.192818190833012 " "
Order of pole = 3.541472579612755 " "
x[1] = -1.9287000000000079 " "
y[1] (analytic) = 0.21186962766025144 " "
y[1] (numeric) = 0.21186962766025297 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.205169876012320000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1927256266464243 " "
Order of pole = 3.541432200818285 " "
x[1] = -1.9286000000000079 " "
y[1] (analytic) = 0.2118869440087635 " "
y[1] (numeric) = 0.21188694400876504 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2045810373122990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19263306458825 " "
Order of pole = 3.5413918394317676 " "
x[1] = -1.9285000000000079 " "
y[1] (analytic) = 0.2119042622900088 " "
y[1] (numeric) = 0.21190426229001033 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2039922291434090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.192540504661722 " "
Order of pole = 3.5413514954966345 " "
x[1] = -1.9284000000000079 " "
y[1] (analytic) = 0.21192158250424104 " "
y[1] (numeric) = 0.2119215825042426 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3343744233512120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.192447946871115 " "
Order of pole = 3.5413111690711148 " "
x[1] = -1.928300000000008 " "
y[1] (analytic) = 0.21193890465171403 " "
y[1] (numeric) = 0.21193890465171558 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3337749717517420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1923553912198956 " "
Order of pole = 3.5412708602019514 " "
x[1] = -1.928200000000008 " "
y[1] (analytic) = 0.21195622873268158 " "
y[1] (numeric) = 0.2119562287326831 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2022259878235420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19226283771207 " "
Order of pole = 3.5412305689436074 " "
x[1] = -1.928100000000008 " "
y[1] (analytic) = 0.21197355474739749 " "
y[1] (numeric) = 0.211973554747399 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.2016373017791870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1921702863506183 " "
Order of pole = 3.5411902953358307 " "
x[1] = -1.928000000000008 " "
y[1] (analytic) = 0.21199088269611563 " "
y[1] (numeric) = 0.21199088269611718 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.33197680347080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.192077737140039 " "
Order of pole = 3.541150039440133 " "
x[1] = -1.927900000000008 " "
y[1] (analytic) = 0.21200821257908994 " "
y[1] (numeric) = 0.2120082125790915 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3313774762163100000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1919851900835634 " "
Order of pole = 3.541109801299875 " "
x[1] = -1.927800000000008 " "
y[1] (analytic) = 0.2120255443965744 " "
y[1] (numeric) = 0.21202554439657592 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.1998714268329180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1918926451849603 " "
Order of pole = 3.541069580966134 " "
x[1] = -1.927700000000008 " "
y[1] (analytic) = 0.21204287814882292 " "
y[1] (numeric) = 0.21204287814882444 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.1992828629130940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.191800102447836 " "
Order of pole = 3.541029378487636 " "
x[1] = -1.927600000000008 " "
y[1] (analytic) = 0.2120602138360895 " "
y[1] (numeric) = 0.21206021383609105 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3295796809703040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.191707561876038 " "
Order of pole = 3.5409891939165803 " "
x[1] = -1.927500000000008 " "
y[1] (analytic) = 0.21207755145862825 " "
y[1] (numeric) = 0.2120775514586298 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.328980478060790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1916150234732545 " "
Order of pole = 3.540949027302897 " "
x[1] = -1.927400000000008 " "
y[1] (analytic) = 0.21209489101669324 " "
y[1] (numeric) = 0.21209489101669476 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 7.1975173543404240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1915224872433146 " "
Order of pole = 3.540908878698513 " "
x[1] = -1.927300000000008 " "
y[1] (analytic) = 0.21211223251053848 " "
y[1] (numeric) = 0.21211223251054004 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.32778216550049900000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.191429953189254 " "
Order of pole = 3.540868748144039 " "
x[1] = -1.927200000000008 " "
y[1] (analytic) = 0.2121295759404182 " "
y[1] (numeric) = 0.21212957594041978 " "
absolute error = 1.582067810090848000000000000000E-15 " "
relative error = 7.4580256104184670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1913374213155827 " "
Order of pole = 3.540828635701139 " "
x[1] = -1.927100000000008 " "
y[1] (analytic) = 0.21214692130658663 " "
y[1] (numeric) = 0.2121469213065882 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3265839772851870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1912448916253724 " "
Order of pole = 3.5407885414109366 " "
x[1] = -1.927000000000008 " "
y[1] (analytic) = 0.2121642686092979 " "
y[1] (numeric) = 0.21216426860929946 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3259849298068980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.191152364122733 " "
Order of pole = 3.5407484653294112 " "
x[1] = -1.926900000000008 " "
y[1] (analytic) = 0.21218161784880626 " "
y[1] (numeric) = 0.21218161784880782 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3253859134148540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1910598388112152 " "
Order of pole = 3.540708407504521 " "
x[1] = -1.926800000000008 " "
y[1] (analytic) = 0.21219896902536603 " "
y[1] (numeric) = 0.21219896902536758 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.3247869281090540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1909673156941887 " "
Order of pole = 3.5406683679816524 " "
x[1] = -1.926700000000008 " "
y[1] (analytic) = 0.21221632213923144 " "
y[1] (numeric) = 0.21221632213923305 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5857661158141250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1908747947761738 " "
Order of pole = 3.540628346822654 " "
x[1] = -1.926600000000008 " "
y[1] (analytic) = 0.212233677190657 " "
y[1] (numeric) = 0.21223367719065858 " "
absolute error = 1.582067810090848000000000000000E-15 " "
relative error = 7.454367426662550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.190782276059895 " "
Order of pole = 3.540588344063721 " "
x[1] = -1.926500000000008 " "
y[1] (analytic) = 0.21225103417989696 " "
y[1] (numeric) = 0.21225103417989855 " "
absolute error = 1.582067810090848000000000000000E-15 " "
relative error = 7.4537578401146430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.190689759549735 " "
Order of pole = 3.5405483597646956 " "
x[1] = -1.926400000000008 " "
y[1] (analytic) = 0.21226839310720574 " "
y[1] (numeric) = 0.21226839310720735 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5839052726678850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1905972452488247 " "
Order of pole = 3.5405083939675777 " "
x[1] = -1.9263000000000081 " "
y[1] (analytic) = 0.21228575397283783 " "
y[1] (numeric) = 0.21228575397283947 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7140313500812470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.190504733161279 " "
Order of pole = 3.5404684467284326 " "
x[1] = -1.9262000000000081 " "
y[1] (analytic) = 0.21230311677704775 " "
y[1] (numeric) = 0.21230311677704936 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.582664871552730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1904122232905148 " "
Order of pole = 3.540428518093343 " "
x[1] = -1.9261000000000081 " "
y[1] (analytic) = 0.2123204815200899 " "
y[1] (numeric) = 0.21232048152009153 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7127696282431290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.190319715640147 " "
Order of pole = 3.5403886081112184 " "
x[1] = -1.9260000000000081 " "
y[1] (analytic) = 0.21233784820221896 " "
y[1] (numeric) = 0.21233784820222057 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5814245992234470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.190227210214412 " "
Order of pole = 3.540348716839869 " "
x[1] = -1.9259000000000082 " "
y[1] (analytic) = 0.21235521682368944 " "
y[1] (numeric) = 0.21235521682369105 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5808045113535070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1901347070162633 " "
Order of pole = 3.540308844318787 " "
x[1] = -1.9258000000000082 " "
y[1] (analytic) = 0.21237258738475595 " "
y[1] (numeric) = 0.2123725873847576 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7108772911227940000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.19004220604975 " "
Order of pole = 3.5402689906030673 " "
x[1] = -1.9257000000000082 " "
y[1] (analytic) = 0.2123899598856732 " "
y[1] (numeric) = 0.21238995988567483 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7102465775858410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1899497073186263 " "
Order of pole = 3.5402291557436385 " "
x[1] = -1.9256000000000082 " "
y[1] (analytic) = 0.21240733432669587 " "
y[1] (numeric) = 0.21240733432669748 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5789444409224930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1898572108263434 " "
Order of pole = 3.5401893397871227 " "
x[1] = -1.9255000000000082 " "
y[1] (analytic) = 0.21242471070807864 " "
y[1] (numeric) = 0.21242471070808025 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5783244818384230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.189764716576571 " "
Order of pole = 3.540149542783208 " "
x[1] = -1.9254000000000082 " "
y[1] (analytic) = 0.21244208903007628 " "
y[1] (numeric) = 0.21244208903007789 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5777045549508220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1896722245731266 " "
Order of pole = 3.5401097647837503 " "
x[1] = -1.9253000000000082 " "
y[1] (analytic) = 0.2124594692929436 " "
y[1] (numeric) = 0.21245946929294518 " "
absolute error = 1.582067810090848000000000000000E-15 " "
relative error = 7.4464452695655540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.189579734819869 " "
Order of pole = 3.5400700058411765 " "
x[1] = -1.9252000000000082 " "
y[1] (analytic) = 0.21247685149693535 " "
y[1] (numeric) = 0.21247685149693699 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7070935011747640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1894872473200078 " "
Order of pole = 3.5400302659986167 " "
x[1] = -1.9251000000000082 " "
y[1] (analytic) = 0.21249423564230652 " "
y[1] (numeric) = 0.21249423564230813 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5758449674668230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.189394762077425 " "
Order of pole = 3.5399905453088643 " "
x[1] = -1.9250000000000083 " "
y[1] (analytic) = 0.2125116217293119 " "
y[1] (numeric) = 0.2125116217293135 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5752251693650910000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1893022790958954 " "
Order of pole = 3.5399508438231635 " "
x[1] = -1.9249000000000083 " "
y[1] (analytic) = 0.2125290097582064 " "
y[1] (numeric) = 0.21252900975820804 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7052020483470670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1892097983790184 " "
Order of pole = 3.539911161590222 " "
x[1] = -1.9248000000000083 " "
y[1] (analytic) = 0.21254639972924505 " "
y[1] (numeric) = 0.2125463997292467 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7045716295743270000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1891173199304035 " "
Order of pole = 3.539871498658936 " "
x[1] = -1.9247000000000083 " "
y[1] (analytic) = 0.2125637916426828 " "
y[1] (numeric) = 0.21256379164268444 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7039412435531670000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1890248437537414 " "
Order of pole = 3.5398318550793455 " "
x[1] = -1.9246000000000083 " "
y[1] (analytic) = 0.2125811854987747 " "
y[1] (numeric) = 0.21258118549877633 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7033108902835850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.188932369852771 " "
Order of pole = 3.5397922309022007 " "
x[1] = -1.9245000000000083 " "
y[1] (analytic) = 0.21259858129777573 " "
y[1] (numeric) = 0.21259858129777742 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.963788385689841000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1888398982309663 " "
Order of pole = 3.5397526261744368 " "
x[1] = -1.9244000000000083 " "
y[1] (analytic) = 0.21261597903994117 " "
y[1] (numeric) = 0.21261597903994278 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 7.5715070568805280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1887474288920896 " "
Order of pole = 3.53971304094717 " "
x[1] = -1.9243000000000083 " "
y[1] (analytic) = 0.21263337872552593 " "
y[1] (numeric) = 0.21263337872552757 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.7014200269843150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.188654961840102 " "
Order of pole = 3.539673475274281 " "
x[1] = -1.9242000000000083 " "
y[1] (analytic) = 0.21265078035478527 " "
y[1] (numeric) = 0.21265078035478693 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8313116658180180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1885624970781814 " "
Order of pole = 3.5396339291985264 " "
x[1] = -1.9241000000000084 " "
y[1] (analytic) = 0.2126681839279744 " "
y[1] (numeric) = 0.21266818392797607 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8306707951281680000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1884700346104635 " "
Order of pole = 3.5395944027763164 " "
x[1] = -1.9240000000000084 " "
y[1] (analytic) = 0.21268558944534854 " "
y[1] (numeric) = 0.2126855894453502 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8300299577450090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.188377574439859 " "
Order of pole = 3.5395548960465746 " "
x[1] = -1.9239000000000084 " "
y[1] (analytic) = 0.21270299690716296 " "
y[1] (numeric) = 0.21270299690716463 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8293891536685410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1882851165708415 " "
Order of pole = 3.539515409070585 " "
x[1] = -1.9238000000000084 " "
y[1] (analytic) = 0.21272040631367292 " "
y[1] (numeric) = 0.21272040631367461 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9592275226137420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.18819266100681 " "
Order of pole = 3.539475941894228 " "
x[1] = -1.9237000000000084 " "
y[1] (analytic) = 0.2127378176651338 " "
y[1] (numeric) = 0.2127378176651355 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9585761061929370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1881002077510656 " "
Order of pole = 3.5394364945620254 " "
x[1] = -1.9236000000000084 " "
y[1] (analytic) = 0.21275523096180096 " "
y[1] (numeric) = 0.21275523096180263 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8274669412792800000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1880077568078993 " "
Order of pole = 3.5393970671326294 " "
x[1] = -1.9235000000000084 " "
y[1] (analytic) = 0.21277264620392972 " "
y[1] (numeric) = 0.2127726462039314 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9572733749367350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.187915308180408 " "
Order of pole = 3.539357659647642 " "
x[1] = -1.9234000000000084 " "
y[1] (analytic) = 0.2127900633917756 " "
y[1] (numeric) = 0.2127900633917773 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9566220601013370000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1878228618723212 " "
Order of pole = 3.5393182721577148 " "
x[1] = -1.9233000000000084 " "
y[1] (analytic) = 0.21280748252559406 " "
y[1] (numeric) = 0.21280748252559575 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9559707791277410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.187730417887755 " "
Order of pole = 3.5392789047189908 " "
x[1] = -1.9232000000000085 " "
y[1] (analytic) = 0.21282490360564058 " "
y[1] (numeric) = 0.21282490360564227 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9553195320159480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.187637976230101 " "
Order of pole = 3.539239557377318 " "
x[1] = -1.9231000000000085 " "
y[1] (analytic) = 0.2128423266321707 " "
y[1] (numeric) = 0.2128423266321724 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9546683187659560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1875455369027033 " "
Order of pole = 3.539200230177837 " "
x[1] = -1.9230000000000085 " "
y[1] (analytic) = 0.21285975160544 " "
y[1] (numeric) = 0.21285975160544168 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9540171393777660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1874530999094524 " "
Order of pole = 3.539160923173494 " "
x[1] = -1.9229000000000085 " "
y[1] (analytic) = 0.21287717852570404 " "
y[1] (numeric) = 0.21287717852570573 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.953365993851380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1873606652539364 " "
Order of pole = 3.539121636412929 " "
x[1] = -1.9228000000000085 " "
y[1] (analytic) = 0.21289460739321847 " "
y[1] (numeric) = 0.2128946073932202 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.0830872573046130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1872682329399558 " "
Order of pole = 3.5390823699478133 " "
x[1] = -1.9227000000000085 " "
y[1] (analytic) = 0.21291203820823906 " "
y[1] (numeric) = 0.21291203820824073 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8217021026727980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1871758029710544 " "
Order of pole = 3.539043123826186 " "
x[1] = -1.9226000000000085 " "
y[1] (analytic) = 0.21292947097102138 " "
y[1] (numeric) = 0.21292947097102305 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.821061731583311000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.187083375351075 " "
Order of pole = 3.5390038981002867 " "
x[1] = -1.9225000000000085 " "
y[1] (analytic) = 0.21294690568182123 " "
y[1] (numeric) = 0.2129469056818229 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8204213938005140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.186990950083169 " "
Order of pole = 3.5389646928125558 " "
x[1] = -1.9224000000000085 " "
y[1] (analytic) = 0.2129643423408944 " "
y[1] (numeric) = 0.21296434234089606 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8197810893244060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1868985271715253 " "
Order of pole = 3.5389255080202346 " "
x[1] = -1.9223000000000086 " "
y[1] (analytic) = 0.21298178094849662 " "
y[1] (numeric) = 0.21298178094849832 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9494598317909070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1868061066194016 " "
Order of pole = 3.5388863437672455 " "
x[1] = -1.9222000000000086 " "
y[1] (analytic) = 0.21299922150488385 " "
y[1] (numeric) = 0.2129992215048855 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8185005802922640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1867136884305927 " "
Order of pole = 3.538847200105213 " "
x[1] = -1.9221000000000086 " "
y[1] (analytic) = 0.21301666401031188 " "
y[1] (numeric) = 0.21301666401031355 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8178603757362290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1866212726087806 " "
Order of pole = 3.5388080770841377 " "
x[1] = -1.9220000000000086 " "
y[1] (analytic) = 0.21303410846503662 " "
y[1] (numeric) = 0.2130341084650383 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9475072078949990000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1865288591576686 " "
Order of pole = 3.53876897475433 " "
x[1] = -1.9219000000000086 " "
y[1] (analytic) = 0.21305155486931404 " "
y[1] (numeric) = 0.21305155486931573 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9468564009866360000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.186436448080695 " "
Order of pole = 3.53872989316233 " "
x[1] = -1.9218000000000086 " "
y[1] (analytic) = 0.2130690032234001 " "
y[1] (numeric) = 0.2130690032234018 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9462056279400740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.186344039381516 " "
Order of pole = 3.538690832357773 " "
x[1] = -1.9217000000000086 " "
y[1] (analytic) = 0.21308645352755087 " "
y[1] (numeric) = 0.21308645352755254 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8152998905789960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.186251633064122 " "
Order of pole = 3.5386517923950898 " "
x[1] = -1.9216000000000086 " "
y[1] (analytic) = 0.21310390578202232 " "
y[1] (numeric) = 0.21310390578202398 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8146598525564160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1861592291315843 " "
Order of pole = 3.538612773315567 " "
x[1] = -1.9215000000000086 " "
y[1] (analytic) = 0.21312135998707057 " "
y[1] (numeric) = 0.2131213599870722 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.6837861837098490000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1860668275877906 " "
Order of pole = 3.538573775172175 " "
x[1] = -1.9214000000000087 " "
y[1] (analytic) = 0.2131388161429517 " "
y[1] (numeric) = 0.21313881614295335 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8133798764313260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1859744284366505 " "
Order of pole = 3.5385347980181976 " "
x[1] = -1.9213000000000087 " "
y[1] (analytic) = 0.21315627424992184 " "
y[1] (numeric) = 0.21315627424992353 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9429522706342970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.185882031681418 " "
Order of pole = 3.5384958418975394 " "
x[1] = -1.9212000000000087 " "
y[1] (analytic) = 0.21317373430823724 " "
y[1] (numeric) = 0.21317373430823894 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9423017007585500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1857896373258776 " "
Order of pole = 3.5384569068617147 " "
x[1] = -1.9211000000000087 " "
y[1] (analytic) = 0.2131911963181541 " "
y[1] (numeric) = 0.21319119631815578 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8114601620438710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1856972453734587 " "
Order of pole = 3.538417992957143 " "
x[1] = -1.9210000000000087 " "
y[1] (analytic) = 0.21320866027992863 " "
y[1] (numeric) = 0.21320866027993032 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9410006625924590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.185604855828117 " "
Order of pole = 3.538379100237769 " "
x[1] = -1.9209000000000087 " "
y[1] (analytic) = 0.21322612619381714 " "
y[1] (numeric) = 0.21322612619381884 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9403501943021170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.185512468693569 " "
Order of pole = 3.538340228754148 " "
x[1] = -1.9208000000000087 " "
y[1] (analytic) = 0.21324359406007598 " "
y[1] (numeric) = 0.21324359406007765 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8095407474166330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1854200839729447 " "
Order of pole = 3.538301378548425 " "
x[1] = -1.9207000000000087 " "
y[1] (analytic) = 0.21326106387896146 " "
y[1] (numeric) = 0.2132610638789631 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.6787526590016950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1853277016703703 " "
Order of pole = 3.5382625496770004 " "
x[1] = -1.9206000000000087 " "
y[1] (analytic) = 0.2132785356507299 " "
y[1] (numeric) = 0.21327853565073157 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8082613041985950000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1852353217890417 " "
Order of pole = 3.538223742182989 " "
x[1] = -1.9205000000000088 " "
y[1] (analytic) = 0.21329600937563784 " "
y[1] (numeric) = 0.2132960093756395 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8076216325496120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1851429443327945 " "
Order of pole = 3.5381849561186236 " "
x[1] = -1.9204000000000088 " "
y[1] (analytic) = 0.2133134850539417 " "
y[1] (numeric) = 0.21331348505394335 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.6768656276371960000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.185050569305345 " "
Order of pole = 3.5381461915344943 " "
x[1] = -1.9203000000000088 " "
y[1] (analytic) = 0.2133309626858979 " "
y[1] (numeric) = 0.21333096268589957 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8063423891717180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1849581967100216 " "
Order of pole = 3.5381074484755644 " "
x[1] = -1.9202000000000088 " "
y[1] (analytic) = 0.21334844227176308 " "
y[1] (numeric) = 0.21334844227176472 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.6756077704854250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.184865826550565 " "
Order of pole = 3.538068726992776 " "
x[1] = -1.9201000000000088 " "
y[1] (analytic) = 0.21336592381179365 " "
y[1] (numeric) = 0.21336592381179534 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9351476670042630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1847734588307928 " "
Order of pole = 3.5380300271381167 " "
x[1] = -1.9200000000000088 " "
y[1] (analytic) = 0.21338340730624633 " "
y[1] (numeric) = 0.213383407306248 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8044237739050560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1846810935545338 " "
Order of pole = 3.5379913489637644 " "
x[1] = -1.9199000000000088 " "
y[1] (analytic) = 0.21340089275537766 " "
y[1] (numeric) = 0.21340089275537935 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9338473737978220000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1845887307247374 " "
Order of pole = 3.537952692509325 " "
x[1] = -1.9198000000000088 " "
y[1] (analytic) = 0.21341838015944437 " "
y[1] (numeric) = 0.21341838015944603 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.803144863594070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1844963703452267 " "
Order of pole = 3.537914057826896 " "
x[1] = -1.9197000000000088 " "
y[1] (analytic) = 0.21343586951870308 " "
y[1] (numeric) = 0.21343586951870475 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8025054583986130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1844040124199045 " "
Order of pole = 3.5378754449697247 " "
x[1] = -1.9196000000000089 " "
y[1] (analytic) = 0.21345336083341054 " "
y[1] (numeric) = 0.2134533608334122 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8018660865098470000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.184311656952237 " "
Order of pole = 3.5378368539847997 " "
x[1] = -1.9195000000000089 " "
y[1] (analytic) = 0.21347085410382352 " "
y[1] (numeric) = 0.21347085410382519 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.8012267479277710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.184219303945609 " "
Order of pole = 3.537798284917965 " "
x[1] = -1.9194000000000089 " "
y[1] (analytic) = 0.21348834933019883 " "
y[1] (numeric) = 0.21348834933020047 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 7.6705776519415130000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1841269534042826 " "
Order of pole = 3.5377597378276135 " "
x[1] = -1.9193000000000089 " "
y[1] (analytic) = 0.21350584651279325 " "
y[1] (numeric) = 0.21350584651279492 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.7999481706836930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1840346053308286 " "
Order of pole = 3.5377212127479467 " "
x[1] = -1.919200000000009 " "
y[1] (analytic) = 0.21352334565186368 " "
y[1] (numeric) = 0.21352334565186537 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.929297414222050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.183942259729805 " "
Order of pole = 3.5376827097415955 " "
x[1] = -1.919100000000009 " "
y[1] (analytic) = 0.21354084674766705 " "
y[1] (numeric) = 0.2135408467476687 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 7.7986697266663740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1838499166044967 " "
Order of pole = 3.5376442288529972 " "
x[1] = -1.919000000000009 " "
y[1] (analytic) = 0.21355834980046018 " "
y[1] (numeric) = 0.21355834980046187 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.927997730528050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1837575759584995 " "
Order of pole = 3.537605770130998 " "
x[1] = -1.918900000000009 " "
y[1] (analytic) = 0.21357585481050015 " "
y[1] (numeric) = 0.21357585481050184 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9273479394737530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1836652377953785 " "
Order of pole = 3.5375673336240574 " "
x[1] = -1.918800000000009 " "
y[1] (analytic) = 0.2135933617780439 " "
y[1] (numeric) = 0.21359336177804558 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9266981822812590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1835729021186387 " "
Order of pole = 3.537528919379753 " "
x[1] = -1.918700000000009 " "
y[1] (analytic) = 0.21361087070334847 " "
y[1] (numeric) = 0.21361087070335016 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9260484589505650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1834805689319534 " "
Order of pole = 3.537490527448078 " "
x[1] = -1.918600000000009 " "
y[1] (analytic) = 0.2136283815866709 " "
y[1] (numeric) = 0.21362838158667263 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.055323339473179000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1833882382394036 " "
Order of pole = 3.53745215788485 " "
x[1] = -1.918500000000009 " "
y[1] (analytic) = 0.2136458944282684 " "
y[1] (numeric) = 0.2136458944282701 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9247491138745880000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.183295910043784 " "
Order of pole = 3.5374138107275073 " "
x[1] = -1.918400000000009 " "
y[1] (analytic) = 0.213663409228398 " "
y[1] (numeric) = 0.2136634092283997 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 7.9240994921293020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1832035843492115 " "
Order of pole = 3.5373754860323956 " "
x[1] = -1.918300000000009 " "
y[1] (analytic) = 0.21368092598731686 " "
y[1] (numeric) = 0.21368092598731858 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.0533425256268990000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.183111261159158 " "
Order of pole = 3.537337183846642 " "
x[1] = -1.918200000000009 " "
y[1] (analytic) = 0.21369844470528224 " "
y[1] (numeric) = 0.21369844470528396 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.0526823231786330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.183018940477348 " "
Order of pole = 3.5372989042210037 " "
x[1] = -1.918100000000009 " "
y[1] (analytic) = 0.21371596538255136 " "
y[1] (numeric) = 0.21371596538255308 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.052022155147280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.182926622307183 " "
Order of pole = 3.537260647201567 " "
x[1] = -1.918000000000009 " "
y[1] (analytic) = 0.2137334880193815 " "
y[1] (numeric) = 0.21373348801938322 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.0513620215328410000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.182834306652071 " "
Order of pole = 3.537222412834577 " "
x[1] = -1.917900000000009 " "
y[1] (analytic) = 0.21375101261602994 " "
y[1] (numeric) = 0.21375101261603166 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 8.0507019223353160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.182741993516294 " "
Order of pole = 3.537184201178764 " "
x[1] = -1.917800000000009 " "
y[1] (analytic) = 0.213768539172754 " "
y[1] (numeric) = 0.21376853917275576 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1798812423539750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.182649682902663 " "
Order of pole = 3.537146012271805 " "
x[1] = -1.917700000000009 " "
y[1] (analytic) = 0.21378606768981112 " "
y[1] (numeric) = 0.2137860676898129 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3090393054874930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1825573748151386 " "
Order of pole = 3.537107846167828 " "
x[1] = -1.917600000000009 " "
y[1] (analytic) = 0.2138035981674587 " "
y[1] (numeric) = 0.21380359816746045 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1785399252965520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.182465069257226 " "
Order of pole = 3.537069702914472 " "
x[1] = -1.917500000000009 " "
y[1] (analytic) = 0.21382113060595412 " "
y[1] (numeric) = 0.2138211306059559 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.30767676873740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1823727662331516 " "
Order of pole = 3.537031582569675 " "
x[1] = -1.917400000000009 " "
y[1] (analytic) = 0.2138386650055549 " "
y[1] (numeric) = 0.21383866500555668 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3069955536530580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.182280465745378 " "
Order of pole = 3.5369934851661533 " "
x[1] = -1.917300000000009 " "
y[1] (analytic) = 0.21385620136651856 " "
y[1] (numeric) = 0.21385620136652034 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3063143740958530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1821881677982464 " "
Order of pole = 3.5369554107635004 " "
x[1] = -1.9172000000000091 " "
y[1] (analytic) = 0.21387373968910264 " "
y[1] (numeric) = 0.2138737396891044 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1758577108460070000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1820958723951884 " "
Order of pole = 3.5369173594082888 " "
x[1] = -1.9171000000000091 " "
y[1] (analytic) = 0.21389127997356466 " "
y[1] (numeric) = 0.21389127997356644 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3049521215628540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1820035795396544 " "
Order of pole = 3.5368793311473894 " "
x[1] = -1.9170000000000091 " "
y[1] (analytic) = 0.21390882222016236 " "
y[1] (numeric) = 0.2139088222201641 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1745168134528870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1819112892353862 " "
Order of pole = 3.5368413260318228 " "
x[1] = -1.9169000000000092 " "
y[1] (analytic) = 0.21392636642915322 " "
y[1] (numeric) = 0.21392636642915502 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.433333605062441000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1818190014860512 " "
Order of pole = 3.5368033441115614 " "
x[1] = -1.9168000000000092 " "
y[1] (analytic) = 0.2139439126007951 " "
y[1] (numeric) = 0.21394391260079684 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1731760559478660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1817267162945426 " "
Order of pole = 3.5367653854255074 " "
x[1] = -1.9167000000000092 " "
y[1] (analytic) = 0.21396146073534555 " "
y[1] (numeric) = 0.21396146073534733 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3022280428224970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1816344336658373 " "
Order of pole = 3.5367274500423456 " "
x[1] = -1.9166000000000092 " "
y[1] (analytic) = 0.21397901083306245 " "
y[1] (numeric) = 0.2139790108330642 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1718354383309480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1815421536020154 " "
Order of pole = 3.53668953798935 " "
x[1] = -1.9165000000000092 " "
y[1] (analytic) = 0.21399656289420346 " "
y[1] (numeric) = 0.21399656289420524 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3008662166151390000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1814498761077123 " "
Order of pole = 3.5366516493303557 " "
x[1] = -1.9164000000000092 " "
y[1] (analytic) = 0.2140141169190265 " "
y[1] (numeric) = 0.21401411691902827 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.3001853568021660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1813576011860474 " "
Order of pole = 3.5366137841075265 " "
x[1] = -1.9163000000000092 " "
y[1] (analytic) = 0.21403167290778938 " "
y[1] (numeric) = 0.21403167290779115 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2995045325163300000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.181265328840166 " "
Order of pole = 3.5365759423633527 " "
x[1] = -1.9162000000000092 " "
y[1] (analytic) = 0.21404923086075003 " "
y[1] (numeric) = 0.21404923086075178 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1691546227614150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1811730590747667 " "
Order of pole = 3.5365381241625684 " "
x[1] = -1.9161000000000092 " "
y[1] (analytic) = 0.2140667907781663 " "
y[1] (numeric) = 0.21406679077816806 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2981429905260660000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1810807918920467 " "
Order of pole = 3.5365003295341673 " "
x[1] = -1.9160000000000093 " "
y[1] (analytic) = 0.21408435266029616 " "
y[1] (numeric) = 0.21408435266029796 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4271101208344790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1809885272966785 " "
Order of pole = 3.5364625585425102 " "
x[1] = -1.9159000000000093 " "
y[1] (analytic) = 0.21410191650739765 " "
y[1] (numeric) = 0.21410191650739943 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.296781590644350000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.180896265291767 " "
Order of pole = 3.536424811229537 " "
x[1] = -1.9158000000000093 " "
y[1] (analytic) = 0.21411948231972877 " "
y[1] (numeric) = 0.21411948231973055 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2961009439941970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1808040058814036 " "
Order of pole = 3.5363870876513346 " "
x[1] = -1.9157000000000093 " "
y[1] (analytic) = 0.21413705009754752 " "
y[1] (numeric) = 0.21413705009754933 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4250362755722930000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1807117490683567 " "
Order of pole = 3.5363493878450356 " "
x[1] = -1.9156000000000093 " "
y[1] (analytic) = 0.21415461984111211 " "
y[1] (numeric) = 0.21415461984111386 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 8.1651344485678730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.180619494856786 " "
Order of pole = 3.5363117118676968 " "
x[1] = -1.9155000000000093 " "
y[1] (analytic) = 0.21417219155068054 " "
y[1] (numeric) = 0.21417219155068232 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2940592172065590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1805272432496934 " "
Order of pole = 3.536274059759826 " "
x[1] = -1.9154000000000093 " "
y[1] (analytic) = 0.214189765226511 " "
y[1] (numeric) = 0.2141897652265128 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4229627550503430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.180434994251205 " "
Order of pole = 3.5362364315779757 " "
x[1] = -1.9153000000000093 " "
y[1] (analytic) = 0.21420734086886176 " "
y[1] (numeric) = 0.21420734086886356 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4222716537075240000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1803427478646613 " "
Order of pole = 3.536198827367503 " "
x[1] = -1.9152000000000093 " "
y[1] (analytic) = 0.21422491847799097 " "
y[1] (numeric) = 0.21422491847799277 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4215805884469520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1802505040938773 " "
Order of pole = 3.5361612471805373 " "
x[1] = -1.9151000000000094 " "
y[1] (analytic) = 0.21424249805415693 " "
y[1] (numeric) = 0.21424249805415874 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4208895592686280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1801582629415424 " "
Order of pole = 3.5361236910531204 " "
x[1] = -1.9150000000000094 " "
y[1] (analytic) = 0.21426007959761792 " "
y[1] (numeric) = 0.21426007959761972 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4201985661725530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1800660244125183 " "
Order of pole = 3.53608615905236 " "
x[1] = -1.9149000000000094 " "
y[1] (analytic) = 0.2142776631086323 " "
y[1] (numeric) = 0.21427766310863408 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2899767228639750000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179973788509377 " "
Order of pole = 3.5360486512126243 " "
x[1] = -1.9148000000000094 " "
y[1] (analytic) = 0.21429524858745835 " "
y[1] (numeric) = 0.21429524858746016 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4188166882271480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179881555236056 " "
Order of pole = 3.536011167587816 " "
x[1] = -1.9147000000000094 " "
y[1] (analytic) = 0.21431283603435455 " "
y[1] (numeric) = 0.21431283603435636 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4181258033778170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1797893245959212 " "
Order of pole = 3.5359737082236435 " "
x[1] = -1.9146000000000094 " "
y[1] (analytic) = 0.21433042544957936 " "
y[1] (numeric) = 0.21433042544958114 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.287935955309030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179697096592696 " "
Order of pole = 3.5359362731709787 " "
x[1] = -1.9145000000000094 " "
y[1] (analytic) = 0.21434801683339114 " "
y[1] (numeric) = 0.21434801683339294 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4167441419259010000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179604871229873 " "
Order of pole = 3.535898862477328 " "
x[1] = -1.9144000000000094 " "
y[1] (analytic) = 0.2143656101860485 " "
y[1] (numeric) = 0.21436561018605027 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2865756212414180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179512648511173 " "
Order of pole = 3.535861476193549 " "
x[1] = -1.9143000000000094 " "
y[1] (analytic) = 0.21438320550780987 " "
y[1] (numeric) = 0.21438320550781167 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4153626248029790000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179420428439523 " "
Order of pole = 3.535824114359066 " "
x[1] = -1.9142000000000094 " "
y[1] (analytic) = 0.21440080279893392 " "
y[1] (numeric) = 0.21440080279893572 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.414671920364890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1793282110194165 " "
Order of pole = 3.535786777035778 " "
x[1] = -1.9141000000000095 " "
y[1] (analytic) = 0.21441840205967924 " "
y[1] (numeric) = 0.21441840205968102 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 8.2845353865935230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179235996254006 " "
Order of pole = 3.535749464266363 " "
x[1] = -1.9140000000000095 " "
y[1] (analytic) = 0.21443600329030438 " "
y[1] (numeric) = 0.21443600329030618 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4132906197354560000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179143784146233 " "
Order of pole = 3.5357121760905024 " "
x[1] = -1.9139000000000095 " "
y[1] (analytic) = 0.2144536064910681 " "
y[1] (numeric) = 0.2144536064910699 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 8.4126000235441120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.179051574700679 " "
Order of pole = 3.5356749125713307 " "
x[1] = -1.9138000000000095 " "
y[1] (analytic) = 0.21447121166222904 " "
y[1] (numeric) = 0.21447121166223088 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 8.5413234551801720000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1789593679201404 " "
Order of pole = 3.5356376737464785 " "
x[1] = -1.9137000000000095 " "
y[1] (analytic) = 0.21448881880404602 " "
y[1] (numeric) = 0.21448881880404785 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 8.5406223077067590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1788671638087336 " "
Order of pole = 3.535600459672427 " "
x[1] = -1.9136000000000095 " "
y[1] (analytic) = 0.2145064279167778 " "
y[1] (numeric) = 0.21450642791677962 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 8.5399211968707030000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1787749623691255 " "
Order of pole = 3.5355632703849302 " "
x[1] = -1.9135000000000095 " "
y[1] (analytic) = 0.21452403900068315 " "
y[1] (numeric) = 0.21452403900068498 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 8.5392201226720090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1786827636053863 " "
Order of pole = 3.535526105939848 " "
x[1] = -1.9134000000000095 " "
y[1] (analytic) = 0.2145416520560209 " "
y[1] (numeric) = 0.21454165205602277 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 8.667890586400230000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1785905675213177 " "
Order of pole = 3.5354889663891704 " "
x[1] = -1.9133000000000095 " "
y[1] (analytic) = 0.21455926708304998 " "
y[1] (numeric) = 0.21455926708305187 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.796539844313570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1784983741201525 " "
Order of pole = 3.5354518517767666 " "
x[1] = -1.9132000000000096 " "
y[1] (analytic) = 0.21457688408202932 " "
y[1] (numeric) = 0.21457688408203118 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 8.6664673792925080000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1784061834054307 " "
Order of pole = 3.5354147621509178 " "
x[1] = -1.9131000000000096 " "
y[1] (analytic) = 0.21459450305321778 " "
y[1] (numeric) = 0.21459450305321967 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.7950954708038850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1783139953805315 " "
Order of pole = 3.535377697557564 " "
x[1] = -1.9130000000000096 " "
y[1] (analytic) = 0.2146121239968744 " "
y[1] (numeric) = 0.2146121239968763 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.7943733406704170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1782218100496236 " "
Order of pole = 3.5353406580539897 " "
x[1] = -1.9129000000000096 " "
y[1] (analytic) = 0.21462974691325823 " "
y[1] (numeric) = 0.2146297469132601 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 8.6643328475744640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1781296274157227 " "
Order of pole = 3.535303643680983 " "
x[1] = -1.9128000000000096 " "
y[1] (analytic) = 0.21464737180262825 " "
y[1] (numeric) = 0.2146473718026301 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 8.6636214113867250000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1780374474824264 " "
Order of pole = 3.5352666544876143 " "
x[1] = -1.9127000000000096 " "
y[1] (analytic) = 0.21466499866524352 " "
y[1] (numeric) = 0.2146649986652454 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.792207176755510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1779452702526263 " "
Order of pole = 3.5352296905129137 " "
x[1] = -1.9126000000000096 " "
y[1] (analytic) = 0.21468262750136324 " "
y[1] (numeric) = 0.21468262750136516 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9207717446360860000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1778530957309137 " "
Order of pole = 3.5351927518202118 " "
x[1] = -1.9125000000000096 " "
y[1] (analytic) = 0.2147002583112466 " "
y[1] (numeric) = 0.21470025831124848 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.7907632562168190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.177760923920762 " "
Order of pole = 3.535155838456827 " "
x[1] = -1.9124000000000096 " "
y[1] (analytic) = 0.21471789109515263 " "
y[1] (numeric) = 0.21471789109515454 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9193066665772140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1776687548252314 " "
Order of pole = 3.535118950464195 " "
x[1] = -1.9123000000000097 " "
y[1] (analytic) = 0.21473552585334071 " "
y[1] (numeric) = 0.2147355258533426 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.7893194866684590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.177576588447965 " "
Order of pole = 3.5350820878920928 " "
x[1] = -1.9122000000000097 " "
y[1] (analytic) = 0.21475316258606997 " "
y[1] (numeric) = 0.21475316258607188 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9178417417291190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1774844247921736 " "
Order of pole = 3.5350452507841013 " "
x[1] = -1.9121000000000097 " "
y[1] (analytic) = 0.21477080129359977 " "
y[1] (numeric) = 0.21477080129360168 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9171093367591150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1773922638620204 " "
Order of pole = 3.535008439197437 " "
x[1] = -1.9120000000000097 " "
y[1] (analytic) = 0.2147884419761894 " "
y[1] (numeric) = 0.21478844197619135 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0455998247308160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1773001056602084 " "
Order of pole = 3.5349716531684443 " "
x[1] = -1.9119000000000097 " "
y[1] (analytic) = 0.21480608463409828 " "
y[1] (numeric) = 0.2148060846341002 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9156446417271870000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1772079501912116 " "
Order of pole = 3.5349348927587805 " "
x[1] = -1.9118000000000097 " "
y[1] (analytic) = 0.21482372926758575 " "
y[1] (numeric) = 0.21482372926758767 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9149123516652650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.177115797457684 " "
Order of pole = 3.534898158004083 " "
x[1] = -1.9117000000000097 " "
y[1] (analytic) = 0.21484137587691118 " "
y[1] (numeric) = 0.21484137587691315 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1725621317873730000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.177023647463906 " "
Order of pole = 3.534861448963259 " "
x[1] = -1.9116000000000097 " "
y[1] (analytic) = 0.2148590244623342 " "
y[1] (numeric) = 0.21485902446233612 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9134478864495040000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.176931500212892 " "
Order of pole = 3.5348247656771257 " "
x[1] = -1.9115000000000097 " "
y[1] (analytic) = 0.21487667502411417 " "
y[1] (numeric) = 0.2148766750241161 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9127157112956630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1768393557077474 " "
Order of pole = 3.5347881081877652 " "
x[1] = -1.9114000000000098 " "
y[1] (analytic) = 0.21489432756251065 " "
y[1] (numeric) = 0.21489432756251256 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.911983574444520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1767472139539636 " "
Order of pole = 3.5347514765714223 " "
x[1] = -1.9113000000000098 " "
y[1] (analytic) = 0.21491198207778317 " "
y[1] (numeric) = 0.2149119820777851 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0404000480105050000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1766550749525764 " "
Order of pole = 3.534714870840606 " "
x[1] = -1.9112000000000098 " "
y[1] (analytic) = 0.2149296385701914 " "
y[1] (numeric) = 0.21492963857019334 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0396573781959710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.176562938707231 " "
Order of pole = 3.5346782910451715 " "
x[1] = -1.9111000000000098 " "
y[1] (analytic) = 0.21494729703999496 " "
y[1] (numeric) = 0.21494729703999688 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9097873937072500000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1764708052237007 " "
Order of pole = 3.534641737265364 " "
x[1] = -1.9110000000000098 " "
y[1] (analytic) = 0.21496495748745348 " "
y[1] (numeric) = 0.2149649574874554 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9090554100668840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1763786745032356 " "
Order of pole = 3.5346052095167906 " "
x[1] = -1.9109000000000098 " "
y[1] (analytic) = 0.21498261991282666 " "
y[1] (numeric) = 0.21498261991282858 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.908323464729211000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1762865465507995 " "
Order of pole = 3.534568707868168 " "
x[1] = -1.9108000000000098 " "
y[1] (analytic) = 0.21500028431637425 " "
y[1] (numeric) = 0.2150002843163762 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0366870875158890000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1761944213687268 " "
Order of pole = 3.5345322323505712 " "
x[1] = -1.9107000000000098 " "
y[1] (analytic) = 0.21501795069835605 " "
y[1] (numeric) = 0.21501795069835797 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9068596889619480000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1761022989611405 " "
Order of pole = 3.5344957830206987 " "
x[1] = -1.9106000000000098 " "
y[1] (analytic) = 0.21503561905903185 " "
y[1] (numeric) = 0.21503561905903373 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 8.7770535417420340000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1760101793317905 " "
Order of pole = 3.5344593599299046 " "
x[1] = -1.9105000000000099 " "
y[1] (analytic) = 0.21505328939866142 " "
y[1] (numeric) = 0.21505328939866333 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9053960664054630000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.175918062484596 " "
Order of pole = 3.5344229631319592 " "
x[1] = -1.9104000000000099 " "
y[1] (analytic) = 0.2150709617175047 " "
y[1] (numeric) = 0.21507096171750664 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0337174185607020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1758259484211755 " "
Order of pole = 3.534386592647749 " "
x[1] = -1.9103000000000099 " "
y[1] (analytic) = 0.21508863601582165 " "
y[1] (numeric) = 0.21508863601582356 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 8.9039325970597540000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1757338371459536 " "
Order of pole = 3.534350248538278 " "
x[1] = -1.91020000000001 " "
y[1] (analytic) = 0.2151063122938721 " "
y[1] (numeric) = 0.21510631229387403 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0322328172299420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1756417286633543 " "
Order of pole = 3.534313930864567 " "
x[1] = -1.91010000000001 " "
y[1] (analytic) = 0.21512399055191608 " "
y[1] (numeric) = 0.21512399055191803 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0314905748512710000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.175549622976526 " "
Order of pole = 3.5342776396693694 " "
x[1] = -1.91000000000001 " "
y[1] (analytic) = 0.21514167079021362 " "
y[1] (numeric) = 0.21514167079021557 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0307483713304060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.175457520088297 " "
Order of pole = 3.534241374990895 " "
x[1] = -1.90990000000001 " "
y[1] (analytic) = 0.21515935300902472 " "
y[1] (numeric) = 0.21515935300902667 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0300062066673460000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1753654200021653 " "
Order of pole = 3.534205136876892 " "
x[1] = -1.90980000000001 " "
y[1] (analytic) = 0.21517703720860948 " "
y[1] (numeric) = 0.21517703720861145 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1582535677315520000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.17527332272248 " "
Order of pole = 3.534168925387327 " "
x[1] = -1.90970000000001 " "
y[1] (analytic) = 0.215194723389228 " "
y[1] (numeric) = 0.21519472338922999 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2864797651693530000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1751812282515623 " "
Order of pole = 3.5341327405531473 " "
x[1] = -1.90960000000001 " "
y[1] (analytic) = 0.2152124115511405 " "
y[1] (numeric) = 0.21521241155114246 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1567482307653640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.175089136593493 " "
Order of pole = 3.534096582430468 " "
x[1] = -1.90950000000001 " "
y[1] (analytic) = 0.21523010169460705 " "
y[1] (numeric) = 0.21523010169460904 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2849533062101170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.174997047752152 " "
Order of pole = 3.5340604510725413 " "
x[1] = -1.90940000000001 " "
y[1] (analytic) = 0.21524779381988798 " "
y[1] (numeric) = 0.21524779381988993 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.026295966219140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.174904961731335 " "
Order of pole = 3.534024346531428 " "
x[1] = -1.90930000000001 " "
y[1] (analytic) = 0.21526548792724345 " "
y[1] (numeric) = 0.2152654879272454 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0255540347029160000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.174812878532685 " "
Order of pole = 3.5339882688283524 " "
x[1] = -1.90920000000001 " "
y[1] (analytic) = 0.21528318401693375 " "
y[1] (numeric) = 0.21528318401693572 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.153738029787991000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1747207981616334 " "
Order of pole = 3.533952218038806 " "
x[1] = -1.90910000000001 " "
y[1] (analytic) = 0.21530088208921921 " "
y[1] (numeric) = 0.2153008820892212 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2819008679080010000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1746287206203956 " "
Order of pole = 3.5339161941922157 " "
x[1] = -1.90900000000001 " "
y[1] (analytic) = 0.21531858214436028 " "
y[1] (numeric) = 0.21531858214436225 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.152233165776811000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1745366459122444 " "
Order of pole = 3.5338801973331613 " "
x[1] = -1.90890000000001 " "
y[1] (analytic) = 0.21533628418261727 " "
y[1] (numeric) = 0.21533628418261921 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.022586697216081000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.17444457404254 " "
Order of pole = 3.5338442275361146 " "
x[1] = -1.90880000000001 " "
y[1] (analytic) = 0.21535398820425056 " "
y[1] (numeric) = 0.21535398820425253 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1507284594172980000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1743525050133785 " "
Order of pole = 3.5338082848288046 " "
x[1] = -1.90870000000001 " "
y[1] (analytic) = 0.21537169420952065 " "
y[1] (numeric) = 0.21537169420952262 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.149976165356919000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.174260438827537 " "
Order of pole = 3.5337723692487515 " "
x[1] = -1.90860000000001 " "
y[1] (analytic) = 0.21538940219868807 " "
y[1] (numeric) = 0.21538940219869002 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0203616021079150000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1741683754896077 " "
Order of pole = 3.533736480859414 " "
x[1] = -1.90850000000001 " "
y[1] (analytic) = 0.2154071121720133 " "
y[1] (numeric) = 0.21540711217201525 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 9.0196199814541380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.174076315002592 " "
Order of pole = 3.5337006197015057 " "
x[1] = -1.90840000000001 " "
y[1] (analytic) = 0.21542482412975686 " "
y[1] (numeric) = 0.21542482412975886 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2765606396484020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.173984257371647 " "
Order of pole = 3.533664785846579 " "
x[1] = -1.90830000000001 " "
y[1] (analytic) = 0.21544253807217947 " "
y[1] (numeric) = 0.21544253807218144 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1469673832445740000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1738922025973846 " "
Order of pole = 3.5336289793011915 " "
x[1] = -1.90820000000001 " "
y[1] (analytic) = 0.21546025399954166 " "
y[1] (numeric) = 0.21546025399954363 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.146215286248780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.173800150683996 " "
Order of pole = 3.5335932001230717 " "
x[1] = -1.9081000000000101 " "
y[1] (analytic) = 0.2154779719121041 " "
y[1] (numeric) = 0.2154779719121061 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2742725699147210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1737081016364708 " "
Order of pole = 3.5335574483814014 " "
x[1] = -1.9080000000000101 " "
y[1] (analytic) = 0.21549569181012754 " "
y[1] (numeric) = 0.21549569181012954 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.273509959939551000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1736160554598567 " "
Order of pole = 3.5335217241461834 " "
x[1] = -1.9079000000000101 " "
y[1] (analytic) = 0.21551341369387264 " "
y[1] (numeric) = 0.21551341369387467 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.4015355481259180000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.173524012150868 " "
Order of pole = 3.533486027368191 " "
x[1] = -1.9078000000000102 " "
y[1] (analytic) = 0.21553113756360026 " "
y[1] (numeric) = 0.21553113756360226 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.27198485989330000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1734319717189603 " "
Order of pole = 3.533450358180545 " "
x[1] = -1.9077000000000102 " "
y[1] (analytic) = 0.21554886341957114 " "
y[1] (numeric) = 0.21554886341957313 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2712223698222170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1733399341667474 " "
Order of pole = 3.533414716618392 " "
x[1] = -1.9076000000000102 " "
y[1] (analytic) = 0.2155665912620461 " "
y[1] (numeric) = 0.2155665912620481 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2704599197191640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.173247899496214 " "
Order of pole = 3.5333791027079506 " "
x[1] = -1.9075000000000102 " "
y[1] (analytic) = 0.21558432109128603 " "
y[1] (numeric) = 0.21558432109128806 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.3984433083283650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.17315586771106 " "
Order of pole = 3.5333435164999685 " "
x[1] = -1.9074000000000102 " "
y[1] (analytic) = 0.21560205290755183 " "
y[1] (numeric) = 0.21560205290755388 " "
absolute error = 2.0539125955565396000000000000000E-15 " "
relative error = 9.526405559956510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1730638388152355 " "
Order of pole = 3.533307958048759 " "
x[1] = -1.9073000000000102 " "
y[1] (analytic) = 0.21561978671110452 " "
y[1] (numeric) = 0.21561978671110651 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2681728092181760000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1729718128113586 " "
Order of pole = 3.5332724273896012 " "
x[1] = -1.9072000000000102 " "
y[1] (analytic) = 0.21563752250220491 " "
y[1] (numeric) = 0.21563752250220697 " "
absolute error = 2.0539125955565396000000000000000E-15 " "
relative error = 9.5248385889591090000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1728797897046306 " "
Order of pole = 3.5332369245947 " "
x[1] = -1.9071000000000102 " "
y[1] (analytic) = 0.2156552602811142 " "
y[1] (numeric) = 0.2156552602811162 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.266648268724329000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.172787769496748 " "
Order of pole = 3.5332014496861994 " "
x[1] = -1.9070000000000102 " "
y[1] (analytic) = 0.21567300004809326 " "
y[1] (numeric) = 0.21567300004809528 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.3945789203520820000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1726957521921917 " "
Order of pole = 3.53316600272597 " "
x[1] = -1.9069000000000103 " "
y[1] (analytic) = 0.21569074180340328 " "
y[1] (numeric) = 0.21569074180340528 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.26512388810260000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.172603737794731 " "
Order of pole = 3.533130583765807 " "
x[1] = -1.9068000000000103 " "
y[1] (analytic) = 0.21570848554730535 " "
y[1] (numeric) = 0.21570848554730732 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1356900666640020000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1725117263043865 " "
Order of pole = 3.5330951928038203 " "
x[1] = -1.9067000000000103 " "
y[1] (analytic) = 0.21572623128006055 " "
y[1] (numeric) = 0.21572623128006255 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2635996673529830000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1724197177321547 " "
Order of pole = 3.533059829995178 " "
x[1] = -1.9066000000000103 " "
y[1] (analytic) = 0.2157439790019301 " "
y[1] (numeric) = 0.21574397900193212 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.3914881393875850000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1723277120720197 " "
Order of pole = 3.5330244952516274 " "
x[1] = -1.9065000000000103 " "
y[1] (analytic) = 0.21576172871317525 " "
y[1] (numeric) = 0.21576172871317728 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.3907155454543120000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1722357093322175 " "
Order of pole = 3.532989188688859 " "
x[1] = -1.9064000000000103 " "
y[1] (analytic) = 0.21577948041405723 " "
y[1] (numeric) = 0.21577948041405925 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.3899429920441770000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1721437095194687 " "
Order of pole = 3.5329539104008667 " "
x[1] = -1.9063000000000103 " "
y[1] (analytic) = 0.21579723410483734 " "
y[1] (numeric) = 0.21579723410483934 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.26055170547009900000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.172051712630459 " "
Order of pole = 3.532918660338062 " "
x[1] = -1.9062000000000103 " "
y[1] (analytic) = 0.21581498978577685 " "
y[1] (numeric) = 0.21581498978577884 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2597898149194510000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171959718674337 " "
Order of pole = 3.5328834386291987 " "
x[1] = -1.9061000000000103 " "
y[1] (analytic) = 0.21583274745713715 " "
y[1] (numeric) = 0.21583274745713912 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1304303537210420000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171867727649191 " "
Order of pole = 3.532848245244775 " "
x[1] = -1.9060000000000104 " "
y[1] (analytic) = 0.2158505071191796 " "
y[1] (numeric) = 0.21585050711918158 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.129679123809430000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171775739565277 " "
Order of pole = 3.5328130803293796 " "
x[1] = -1.9059000000000104 " "
y[1] (analytic) = 0.21586826877216564 " "
y[1] (numeric) = 0.21586826877216764 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2575043830756780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171683754422766 " "
Order of pole = 3.5327779438833105 " "
x[1] = -1.9058000000000104 " "
y[1] (analytic) = 0.2158860324163567 " "
y[1] (numeric) = 0.21588603241635873 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.3853085225693280000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1715917722207703 " "
Order of pole = 3.5327428358917423 " "
x[1] = -1.9057000000000104 " "
y[1] (analytic) = 0.21590379805201435 " "
y[1] (numeric) = 0.21590379805201634 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.255980961686640000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171499792965884 " "
Order of pole = 3.532707756446868 " "
x[1] = -1.9056000000000104 " "
y[1] (analytic) = 0.21592156567940002 " "
y[1] (numeric) = 0.21592156567940202 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2552193109441650000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171407816661278 " "
Order of pole = 3.5326727055919314 " "
x[1] = -1.9055000000000104 " "
y[1] (analytic) = 0.21593933529877532 " "
y[1] (numeric) = 0.21593933529877732 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2544577001697170000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171315843320435 " "
Order of pole = 3.532637683517706 " "
x[1] = -1.9054000000000104 " "
y[1] (analytic) = 0.21595710691040182 " "
y[1] (numeric) = 0.21595710691040385 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.382219686715569000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1712238729335716 " "
Order of pole = 3.532602690082083 " "
x[1] = -1.9053000000000104 " "
y[1] (analytic) = 0.2159748805145412 " "
y[1] (numeric) = 0.2159748805145432 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.252934598524911000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1711319054590392 " "
Order of pole = 3.5325677246870413 " "
x[1] = -1.9052000000000104 " "
y[1] (analytic) = 0.21599265611145507 " "
y[1] (numeric) = 0.21599265611145704 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.123670703381571000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.171039941052914 " "
Order of pole = 3.5325327895635965 " "
x[1] = -1.9051000000000105 " "
y[1] (analytic) = 0.21601043370140513 " "
y[1] (numeric) = 0.2160104337014071 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1229198281862140000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1709479795525763 " "
Order of pole = 3.5324978823828417 " "
x[1] = -1.9050000000000105 " "
y[1] (analytic) = 0.21602821328465313 " "
y[1] (numeric) = 0.2160282132846551 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.122168992403780000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1708560210244747 " "
Order of pole = 3.5324630040934295 " "
x[1] = -1.9049000000000105 " "
y[1] (analytic) = 0.21604599486146084 " "
y[1] (numeric) = 0.2160459948614628 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1214181960342590000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1707640654628597 " "
Order of pole = 3.532428154610983 " "
x[1] = -1.9048000000000105 " "
y[1] (analytic) = 0.21606377843209004 " "
y[1] (numeric) = 0.216063778432092 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1206674390776570000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.170672112893738 " "
Order of pole = 3.5323933343054996 " "
x[1] = -1.9047000000000105 " "
y[1] (analytic) = 0.21608156399680256 " "
y[1] (numeric) = 0.21608156399680456 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2483662528231840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.170580163303119 " "
Order of pole = 3.5323585429746878 " "
x[1] = -1.9046000000000105 " "
y[1] (analytic) = 0.2160993515558603 " "
y[1] (numeric) = 0.2160993515558623 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2476050017609970000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1704882167036326 " "
Order of pole = 3.53232378079716 " "
x[1] = -1.9045000000000105 " "
y[1] (analytic) = 0.21611714110952518 " "
y[1] (numeric) = 0.21611714110952715 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1184154046853550000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.170396273089565 " "
Order of pole = 3.532289047689062 " "
x[1] = -1.9044000000000105 " "
y[1] (analytic) = 0.21613493265805908 " "
y[1] (numeric) = 0.21613493265806105 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1176648053804210000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1703043324655056 " "
Order of pole = 3.5322543437139657 " "
x[1] = -1.9043000000000105 " "
y[1] (analytic) = 0.21615272620172402 " "
y[1] (numeric) = 0.216152726201726 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1169142454884060000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1702123948398957 " "
Order of pole = 3.5322196689905567 " "
x[1] = -1.9042000000000106 " "
y[1] (analytic) = 0.21617052174078197 " "
y[1] (numeric) = 0.21617052174078397 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.244560397192539000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1701204602110655 " "
Order of pole = 3.532185023492861 " "
x[1] = -1.9041000000000106 " "
y[1] (analytic) = 0.21618831927549503 " "
y[1] (numeric) = 0.216188319275497 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1154132439431290000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.170028528586578 " "
Order of pole = 3.5321504073269914 " "
x[1] = -1.9040000000000106 " "
y[1] (analytic) = 0.2162061188061252 " "
y[1] (numeric) = 0.2162061188061272 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.2430383347164840000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1699365999638798 " "
Order of pole = 3.53211582045434 " "
x[1] = -1.9039000000000106 " "
y[1] (analytic) = 0.2162239203329347 " "
y[1] (numeric) = 0.21622392033293666 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.1139124000495190000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1698446743501885 " "
Order of pole = 3.532081262976096 " "
x[1] = -1.9038000000000106 " "
y[1] (analytic) = 0.2162417238561856 " "
y[1] (numeric) = 0.21624172385618753 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 8.9848076423316380000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1697527517508264 " "
Order of pole = 3.532046734966329 " "
x[1] = -1.9037000000000106 " "
y[1] (analytic) = 0.21625952937614004 " "
y[1] (numeric) = 0.216259529376142 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 9.112411713807580000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.169660832166057 " "
Order of pole = 3.5320122364267483 " "
x[1] = -1.9036000000000106 " "
y[1] (analytic) = 0.2162773368930603 " "
y[1] (numeric) = 0.2162773368930623 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.239994689380719000000000000E-13 "%"
h = 1.0000E-4 " "
" "
"TOP MAIN SOLVE Loop"
"Complex estimate of poles used"
Radius of convergence = 2.1695689156014475 " "
Order of pole = 3.531977767434924 " "
x[1] = -1.9035000000000106 " "
y[1] (analytic) = 0.21629514640720865 " "
y[1] (numeric) = 0.21629514640721065 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 9.239233877966849000000000000E-13 "%"
h = 1.0000E-4 " "
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);"
Iterations = 965
"Total Elapsed Time "= 15 Minutes 0 Seconds
"Elapsed Time(since restart) "= 15 Minutes 0 Seconds
"Expected Time Remaining "= 7 Hours 31 Minutes 18 Seconds
"Optimized Time Remaining "= 7 Hours 31 Minutes 12 Seconds
"Time to Timeout " Unknown
Percent Done = 3.2199999999996454 "%"
(%o51) true
(%o51) diffeq.max