|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"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 := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr <> 0.0) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "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 := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if relerr <> 0. then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> 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[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
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[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> 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(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,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(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> 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 # if number 1
> 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,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
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(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
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(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
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, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1;
> if (omniabs(hdrc) > glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> elif
> ((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) then # if number 2
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> array_complex_pole[1,1] := glob_large_float;
> array_complex_pole[1,2] := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found := false;
> #TOP WHICH RADII EQ = 1
> if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found := true;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found := true;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found := true;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found := true;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if ( not found ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float or
omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1;
if glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
array_complex_pole[1, 1] := glob_large_float;
array_complex_pole[1, 2] := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found := false;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found := true;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found := true;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and
0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found := true;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Real estimate of pole used")
end if
end if
end if;
if not found and array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found := true;
if glob_display_flag then
if reached_interval() then
omniout_str(ALWAYS, "Complex estimate of poles used")
end if
end if
end if;
if not found then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult FULL CONST $eq_no = 1 i = 1
> array_tmp1[1] := array_m1[1] * array_const_2D0[1];
> #emit pre mult FULL LINEAR $eq_no = 1 i = 1
> #emit pre mult LINEAR - FULL $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] * array_x[1];
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 1
> array_tmp3[1] := array_x[1] * array_x[1];
> #emit pre add FULL - CONST $eq_no = 1 i = 1
> array_tmp4[1] := array_tmp3[1] + array_const_1D0[1];
> #emit pre div FULL - FULL $eq_no = 1 i = 1
> array_tmp5[1] := (array_tmp2[1] / (array_tmp4[1]));
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 1
> array_tmp6[1] := array_x[1] * array_x[1];
> #emit pre add FULL - CONST $eq_no = 1 i = 1
> array_tmp7[1] := array_tmp6[1] + array_const_1D0[1];
> #emit pre div FULL - FULL $eq_no = 1 i = 1
> array_tmp8[1] := (array_tmp5[1] / (array_tmp7[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp9[1] := array_const_0D0[1] + array_tmp8[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp9[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult FULL CONST $eq_no = 1 i = 2
> array_tmp1[2] := array_m1[2] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 2
> array_tmp3[2] := array_x[1] * array_x[2] + array_x[2] * array_x[1];
> #emit pre add FULL CONST $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre div FULL - FULL $eq_no = 1 i = 2
> array_tmp5[2] := ((array_tmp2[2] - ats(2,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 2
> array_tmp6[2] := array_x[1] * array_x[2] + array_x[2] * array_x[1];
> #emit pre add FULL CONST $eq_no = 1 i = 2
> array_tmp7[2] := array_tmp6[2];
> #emit pre div FULL - FULL $eq_no = 1 i = 2
> array_tmp8[2] := ((array_tmp5[2] - ats(2,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp9[2] := array_tmp8[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp9[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h;
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre mult FULL CONST $eq_no = 1 i = 3
> array_tmp1[3] := array_m1[3] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 3
> array_tmp3[3] := array_x[2] * array_x[2];
> #emit pre add FULL CONST $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre div FULL - FULL $eq_no = 1 i = 3
> array_tmp5[3] := ((array_tmp2[3] - ats(3,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre mult LINEAR - LINEAR $eq_no = 1 i = 3
> array_tmp6[3] := array_x[2] * array_x[2];
> #emit pre add FULL CONST $eq_no = 1 i = 3
> array_tmp7[3] := array_tmp6[3];
> #emit pre div FULL - FULL $eq_no = 1 i = 3
> array_tmp8[3] := ((array_tmp5[3] - ats(3,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp9[3] := array_tmp8[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp9[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre mult FULL CONST $eq_no = 1 i = 4
> array_tmp1[4] := array_m1[4] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre add FULL CONST $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre div FULL - FULL $eq_no = 1 i = 4
> array_tmp5[4] := ((array_tmp2[4] - ats(4,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre add FULL CONST $eq_no = 1 i = 4
> array_tmp7[4] := array_tmp6[4];
> #emit pre div FULL - FULL $eq_no = 1 i = 4
> array_tmp8[4] := ((array_tmp5[4] - ats(4,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp9[4] := array_tmp8[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp9[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre mult FULL CONST $eq_no = 1 i = 5
> array_tmp1[5] := array_m1[5] * array_const_2D0[1];
> #emit pre mult LINEAR FULL $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[2] * array_x[kkk - 1] + array_tmp1[1] * array_x[kkk];
> #emit pre add FULL CONST $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre div FULL - FULL $eq_no = 1 i = 5
> array_tmp5[5] := ((array_tmp2[5] - ats(5,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit pre add FULL CONST $eq_no = 1 i = 5
> array_tmp7[5] := array_tmp6[5];
> #emit pre div FULL - FULL $eq_no = 1 i = 5
> array_tmp8[5] := ((array_tmp5[5] - ats(5,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp9[5] := array_tmp8[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp9[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit mult FULL CONST $eq_no = 1 i = 1
> array_tmp1[kkk] := array_m1[kkk] * array_const_2D0[1];
> #emit mult FULL LINEAR $eq_no = 1 i = 1
> array_tmp2[kkk] := array_tmp1[kkk-1] * array_x[2] + array_tmp1[kkk] * array_x[1];
> #emit mult LINEAR - LINEAR $eq_no = 1 i = 1
> #emit FULL - NOT FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit div FULL FULL $eq_no = 1
> array_tmp5[kkk] := ((array_tmp2[kkk] - ats(kkk,array_tmp4,array_tmp5,2))/array_tmp4[1]);
> #emit mult LINEAR - LINEAR $eq_no = 1 i = 1
> #emit FULL - NOT FULL add $eq_no = 1
> array_tmp7[kkk] := array_tmp6[kkk];
> #emit div FULL FULL $eq_no = 1
> array_tmp8[kkk] := ((array_tmp5[kkk] - ats(kkk,array_tmp7,array_tmp8,2))/array_tmp7[1]);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp9[kkk] := array_tmp8[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp9[kkk] * expt(glob_h , (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 2;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 1) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary / glob_h;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
array_tmp1[1] := array_m1[1]*array_const_2D0[1];
array_tmp2[1] := array_tmp1[1]*array_x[1];
array_tmp3[1] := array_x[1]*array_x[1];
array_tmp4[1] := array_tmp3[1] + array_const_1D0[1];
array_tmp5[1] := array_tmp2[1]/array_tmp4[1];
array_tmp6[1] := array_x[1]*array_x[1];
array_tmp7[1] := array_tmp6[1] + array_const_1D0[1];
array_tmp8[1] := array_tmp5[1]/array_tmp7[1];
array_tmp9[1] := array_const_0D0[1] + array_tmp8[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp9[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_m1[2]*array_const_2D0[1];
array_tmp2[2] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp3[2] := 2*array_x[1]*array_x[2];
array_tmp4[2] := array_tmp3[2];
array_tmp5[2] :=
(array_tmp2[2] - ats(2, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[2] := 2*array_x[1]*array_x[2];
array_tmp7[2] := array_tmp6[2];
array_tmp8[2] :=
(array_tmp5[2] - ats(2, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[2] := array_tmp8[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp9[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := array_m1[3]*array_const_2D0[1];
array_tmp2[3] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp3[3] := array_x[2]*array_x[2];
array_tmp4[3] := array_tmp3[3];
array_tmp5[3] :=
(array_tmp2[3] - ats(3, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp6[3] := array_x[2]*array_x[2];
array_tmp7[3] := array_tmp6[3];
array_tmp8[3] :=
(array_tmp5[3] - ats(3, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[3] := array_tmp8[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp9[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := array_m1[4]*array_const_2D0[1];
array_tmp2[4] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp4[4] := array_tmp3[4];
array_tmp5[4] :=
(array_tmp2[4] - ats(4, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp7[4] := array_tmp6[4];
array_tmp8[4] :=
(array_tmp5[4] - ats(4, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[4] := array_tmp8[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp9[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := array_m1[5]*array_const_2D0[1];
array_tmp2[5] :=
array_tmp1[2]*array_x[kkk - 1] + array_tmp1[1]*array_x[kkk];
array_tmp4[5] := array_tmp3[5];
array_tmp5[5] :=
(array_tmp2[5] - ats(5, array_tmp4, array_tmp5, 2))/array_tmp4[1];
array_tmp7[5] := array_tmp6[5];
array_tmp8[5] :=
(array_tmp5[5] - ats(5, array_tmp7, array_tmp8, 2))/array_tmp7[1];
array_tmp9[5] := array_tmp8[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp9[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_m1[kkk]*array_const_2D0[1];
array_tmp2[kkk] :=
array_tmp1[kkk - 1]*array_x[2] + array_tmp1[kkk]*array_x[1];
array_tmp4[kkk] := array_tmp3[kkk];
array_tmp5[kkk] := (
array_tmp2[kkk] - ats(kkk, array_tmp4, array_tmp5, 2))/
array_tmp4[1];
array_tmp7[kkk] := array_tmp6[kkk];
array_tmp8[kkk] := (
array_tmp5[kkk] - ats(kkk, array_tmp7, array_tmp8, 2))/
array_tmp7[1];
array_tmp9[kkk] := array_tmp8[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp9[kkk]*expt(glob_h, order_d)/
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 2;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 1 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary/glob_h
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
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 :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error <> 0.0) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if rel_error <> 0. then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(1.0 / (x * x + 1.0));
> end;
exact_soln_y := proc(x) return 1.0/(x*x + 1.0) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_log10normmin,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_hmax,
> glob_hmin,
> glob_hmin_init,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_log10_abserr,
> glob_log10_relerr,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_log10abserr,
> glob_log10relerr,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_1D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> array_tmp7,
> array_tmp8,
> array_tmp9,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_log10normmin := 0.1;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_hmax := 1.0;
> glob_hmin := 0.00000000001;
> glob_hmin_init := 0.001;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_log10_abserr := 0.1e-10;
> glob_log10_relerr := 0.1e-10;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-50;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_log10abserr := 0.0;
> glob_log10relerr := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> 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:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -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_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(1.0 / (x * x + 1.0));");
> omniout_str(ALWAYS,"end;");
> 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 := 1.0e100;
> glob_almost_1 := 0.99;
> glob_log10_abserr := -8.0;
> glob_log10_relerr := -8.0;
> glob_hmax := 0.01;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_tmp7:= Array(0..(max_terms + 1),[]);
> array_tmp8:= Array(0..(max_terms + 1),[]);
> array_tmp9:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp7 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp7[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp8 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp8[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp9 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp9[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_1D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1D0[1] := 1.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #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_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> glob_abserr := expt(10.0 , (glob_log10_abserr));
> glob_relerr := expt(10.0 , (glob_log10_relerr));
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_log10normmin := -glob_large_float ;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3
> tmp := omniabs(array_y_higher[1,1]);
> log10norm := (log10(tmp));
> if (log10norm < glob_log10normmin) then # if number 4
> glob_log10normmin := log10norm;
> fi;# end if 4
> fi;# end if 3;
> 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 ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y
> order_diff := 1;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> display_alot(current_iter)
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> 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 # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2012-12-15T03:09:56-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> 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[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> 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] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 151 | ")
> ;
> logitem_str(html_log_file,"sing4 diffeq.mxt")
> ;
> logitem_str(html_log_file,"sing4 maple results")
> ;
> logitem_str(html_log_file,"Languages compared")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, log10norm, max_terms, opt_iter,
tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_log10normmin, glob_total_exp_sec,
glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter,
glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2,
glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year,
glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1,
glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished,
glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h,
glob_optimal_done, glob_disp_incr, glob_h, glob_hmax, glob_hmin,
glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles,
glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic,
glob_log10_abserr, glob_log10_relerr, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_1D0, array_y_init,
array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6,
array_tmp7, array_tmp8, array_tmp9, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_real_pole, array_complex_pole, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_log10normmin := 0.1;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_hmax := 1.0;
glob_hmin := 0.1*10^(-10);
glob_hmin_init := 0.001;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_log10_abserr := 0.1*10^(-10);
glob_log10_relerr := 0.1*10^(-10);
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-50);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_log10abserr := 0.;
glob_log10relerr := 0.;
glob_max_minutes := 0.;
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.;
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:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -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_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(1.0 / (x * x + 1.0));");
omniout_str(ALWAYS, "end;");
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 := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
glob_log10_abserr := -8.0;
glob_log10_relerr := -8.0;
glob_hmax := 0.01;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_tmp7 := Array(0 .. max_terms + 1, []);
array_tmp8 := Array(0 .. max_terms + 1, []);
array_tmp9 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp7[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp8[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp9[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_tmp7 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1
end do;
array_tmp8 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1
end do;
array_tmp9 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_1D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1D0[term] := 0.; term := term + 1
end do;
array_const_1D0[1] := 1.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := -2.0;
x_end := 1.0;
array_y_init[1] := exact_soln_y(x_start);
glob_h := 0.1;
glob_look_poles := true;
glob_max_iter := 50;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
glob_abserr := expt(10.0, glob_log10_abserr);
glob_relerr := expt(10.0, glob_log10_relerr);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_log10normmin := -glob_large_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
log10norm := log10(tmp);
if log10norm < glob_log10normmin then
glob_log10normmin := log10norm
end if
end if;
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
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 1;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do;
display_alot(current_iter)
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
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, "2012-12-15T03:09:56-06:00");
logitem_str(html_log_file, "Maple");
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[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
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] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 151 | ");
logitem_str(html_log_file,
"sing4 diffeq.mxt");
logitem_str(html_log_file,
"sing4 maple results")
;
logitem_str(html_log_file, "Languages compared");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############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:=32;
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_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(1.0 / (x * x + 1.0));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 3
estimated_steps = 3000
step_error = 3.3333333333333333333333333333333e-14
est_needed_step_err = 3.3333333333333333333333333333333e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.1830463273343393741647380480000e-86
max_value3 = 1.1830463273343393741647380480000e-86
value3 = 1.1830463273343393741647380480000e-86
best_h = 0.001
START of Soultion
x[1] = -2
y[1] (analytic) = 0.2
y[1] (numeric) = 0.2
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.259
Order of pole = 3.572
x[1] = -1.999
y[1] (analytic) = 0.20016008803841312281562793922579
y[1] (numeric) = 0.20016008803841312280259461284531
absolute error = 1.303332638048e-20
relative error = 6.5114511630204460480000000000001e-18 %
Correct digits = 19
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.258
Order of pole = 3.571
x[1] = -1.998
y[1] (analytic) = 0.20032035230741001008813294220117
y[1] (numeric) = 0.20032035230741001006185471122437
absolute error = 2.627823097680e-20
relative error = 1.3118103414910950720000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.257
Order of pole = 3.571
x[1] = -1.997
y[1] (analytic) = 0.20048079303786340401550999607258
y[1] (numeric) = 0.20048079303786340397577407231289
absolute error = 3.973592375969e-20
relative error = 1.9820314533664755721000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.256
Order of pole = 3.57
x[1] = -1.996
y[1] (analytic) = 0.20064141046096160204943162301245
y[1] (numeric) = 0.20064141046096160199602400264422
absolute error = 5.340762036823e-20
relative error = 2.6618443443718421167999999999999e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.255
Order of pole = 3.57
x[1] = -1.995
y[1] (analytic) = 0.20080220480820879413255957550414
y[1] (numeric) = 0.20080220480820879406526503337082
absolute error = 6.729454213332e-20
relative error = 3.3512850218748693300000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.254
Order of pole = 3.57
x[1] = -1.994
y[1] (analytic) = 0.20096317631142539965546873053169
y[1] (numeric) = 0.20096317631142539957407081443032
absolute error = 8.139791610137e-20
relative error = 4.0503896084539676932000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.993
y[1] (analytic) = 0.2011243252027484041287605974921
y[1] (numeric) = 0.2011243252027484040330416224341
absolute error = 9.571897505800e-20
relative error = 4.7591943421815384200000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.253
Order of pole = 3.569
x[1] = -1.992
y[1] (analytic) = 0.20128565171463169556591863550872
y[1] (numeric) = 0.2012856517146316954556596779569
absolute error = 1.1025895755182e-19
relative error = 5.4777355769072507648000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.252
Order of pole = 3.568
x[1] = -1.991
y[1] (analytic) = 0.20144715607984640057243223871649
y[1] (numeric) = 0.20144715607984640044741313079817
absolute error = 1.2501910791832e-19
relative error = 6.2060497825428186392000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.251
Order of pole = 3.568
x[1] = -1.99
y[1] (analytic) = 0.20160883853148122013669079252434
y[1] (numeric) = 0.20160883853148121999669011622049
absolute error = 1.4000067630385e-19
relative error = 6.9441735453472638500000000000001e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.25
Order of pole = 3.568
x[1] = -1.989
y[1] (analytic) = 0.20177069930294276511812362934642
y[1] (numeric) = 0.20177069930294276496291871065676
absolute error = 1.5520491868966e-19
relative error = 7.6921435682111640885999999999999e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=3.0MB, time=0.46
Complex estimate of poles used
Radius of convergence = 2.249
Order of pole = 3.567
x[1] = -1.988
y[1] (analytic) = 0.20193273862795589142803601833872
y[1] (numeric) = 0.20193273862795589125740292142273
absolute error = 1.7063309691599e-19
relative error = 8.4499966709393838256000000000002e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.248
Order of pole = 3.567
x[1] = -1.987
y[1] (analytic) = 0.20209495674056403489856550978756
y[1] (numeric) = 0.2020949567405640347122790310812
absolute error = 1.8628647870636e-19
relative error = 9.2177697905397065484000000000000e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.247
Order of pole = 3.566
x[1] = -1.986
y[1] (analytic) = 0.20225735387512954583515702047411
y[1] (numeric) = 0.20225735387512954563299068278233
absolute error = 2.0216633769178e-19
relative error = 9.9954999815034790887999999999999e-17 %
Correct digits = 18
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.246
Order of pole = 3.566
x[1] = -1.985
y[1] (analytic) = 0.20241993026633402324792899108846
y[1] (numeric) = 0.20241993026633402302965503765326
absolute error = 2.1827395343520e-19
relative error = 1.0783224416094109200000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.245
Order of pole = 3.565
x[1] = -1.984
y[1] (analytic) = 0.20258268614917864875727677008648
y[1] (numeric) = 0.20258268614917864852266615863051
absolute error = 2.3461061145597e-19
relative error = 1.1580980384632006483200000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.244
Order of pole = 3.565
x[1] = -1.983
y[1] (analytic) = 0.2027456217589845201690330797729
y[1] (numeric) = 0.20274562175898451991785547651858
absolute error = 2.5117760325432e-19
relative error = 1.2388805295776467384800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.243
Order of pole = 3.565
x[1] = -1.982
y[1] (analytic) = 0.2029087373313929847144789993515
y[1] (numeric) = 0.20290873733139298444650277301543
absolute error = 2.6797622633607e-19
relative error = 1.3206736676814858466800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.242
Order of pole = 3.564
x[1] = -1.981
y[1] (analytic) = 0.2030720331023659719504723557026
y[1] (numeric) = 0.20307203310236597166546457146528
absolute error = 2.8500778423732e-19
relative error = 1.4034812173946733525200000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.241
Order of pole = 3.564
x[1] = -1.98
y[1] (analytic) = 0.20323550930818632631493374522397
y[1] (numeric) = 0.20323550930818632601266015867474
absolute error = 3.0227358654923e-19
relative error = 1.4873069552568312920000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.24
Order of pole = 3.563
x[1] = -1.979
y[1] (analytic) = 0.20339916618545813933290361869491
y[1] (numeric) = 0.20339916618545813901312866975197
absolute error = 3.1977494894294e-19
relative error = 1.5721546697559768765400000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.563
x[1] = -1.978
y[1] (analytic) = 0.20356300397110708146835694528471
y[1] (numeric) = 0.20356300397110708113084375209018
absolute error = 3.3751319319453e-19
relative error = 1.6580281613570375125200000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.239
Order of pole = 3.562
x[1] = -1.977
y[1] (analytic) = 0.20372702290238073361693493101497
y[1] (numeric) = 0.2037270229023807332614452838049
absolute error = 3.5548964721007e-19
relative error = 1.7449312425303976870300000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.238
Order of pole = 3.562
x[1] = -1.976
y[1] (analytic) = 0.20389122321684891823472610068638
y[1] (numeric) = 0.20389122321684891786102045563561
absolute error = 3.7370564505077e-19
relative error = 1.8328677377805253235200000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.237
Order of pole = 3.562
x[1] = -1.975
y[1] (analytic) = 0.20405560515240403009820175997959
y[1] (numeric) = 0.20405560515240402970603923302141
absolute error = 3.9216252695818e-19
relative error = 1.9218414836744308625000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.236
Order of pole = 3.561
x[1] = -1.974
y[1] (analytic) = 0.20422016894726136669038343562041
y[1] (numeric) = 0.20422016894726136627952179624085
absolute error = 4.1086163937956e-19
relative error = 2.0118563288705463425600000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.235
Order of pole = 3.561
x[1] = -1.973
y[1] (analytic) = 0.20438491483995945820829234564187
y[1] (numeric) = 0.20438491483995945777848801064867
absolute error = 4.2980433499320e-19
relative error = 2.1029161341469444428000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.234
Order of pole = 3.56
x[1] = -1.972
y[1] (analytic) = 0.20454984306936039718670327836124
y[1] (numeric) = 0.20454984306936039673771130562727
absolute error = 4.4899197273397e-19
relative error = 2.1950247724302687924800000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.233
Order of pole = 3.56
x[1] = -1.971
y[1] (analytic) = 0.20471495387465016773319745719461
y[1] (numeric) = 0.20471495387465016726477153937574
absolute error = 4.6842591781887e-19
relative error = 2.2881861288242467496700000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.232
Order of pole = 3.559
x[1] = -1.97
y[1] (analytic) = 0.20488024749533897436948103833309
y[1] (numeric) = 0.20488024749533897388137349656042
absolute error = 4.8810754177267e-19
relative error = 2.3824041006382250030000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.231
Order of pole = 3.559
x[1] = -1.969
y[1] (analytic) = 0.20504572417126157047390782907634
y[1] (numeric) = 0.20504572417126156996586960662269
absolute error = 5.0803822245365e-19
relative error = 2.4776825974157753576500000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.23
Order of pole = 3.559
x[1] = -1.968
y[1] (analytic) = 0.20521138414257758632011662573384
y[1] (numeric) = 0.20521138414257758579189728165438
absolute error = 5.2821934407946e-19
relative error = 2.5740255409634664870399999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.229
Order of pole = 3.558
x[1] = -1.967
y[1] (analytic) = 0.20537722764977185670666525093298
y[1] (numeric) = 0.20537722764977185615801295368001
absolute error = 5.4865229725297e-19
relative error = 2.6714368653791664443300000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=7.6MB, alloc=4.1MB, time=1.04
Complex estimate of poles used
Radius of convergence = 2.228
Order of pole = 3.558
x[1] = -1.966
y[1] (analytic) = 0.20554325493365474817251492038488
y[1] (numeric) = 0.20554325493365474760317644139652
absolute error = 5.6933847898836e-19
relative error = 2.7699205170810935841599999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.227
Order of pole = 3.557
x[1] = -1.965
y[1] (analytic) = 0.20570946623536248579318998812028
y[1] (numeric) = 0.20570946623536248520291069538314
absolute error = 5.9027929273714e-19
relative error = 2.8694804548361033965000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.557
x[1] = -1.964
y[1] (analytic) = 0.20587586179635747955240940638578
y[1] (numeric) = 0.20587586179635747894093325797143
absolute error = 6.1147614841435e-19
relative error = 2.9701206497884285975999999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.226
Order of pole = 3.556
x[1] = -1.963
y[1] (analytic) = 0.20604244185842865028395739124719
y[1] (numeric) = 0.2060424418584286496510269288224
absolute error = 6.3293046242479e-19
relative error = 3.0718450854881406175100000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.225
Order of pole = 3.556
x[1] = -1.962
y[1] (analytic) = 0.20620920666369175517853180694529
y[1] (numeric) = 0.20620920666369175452388814925585
absolute error = 6.5464365768944e-19
relative error = 3.1746577579201086713600000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.224
Order of pole = 3.556
x[1] = -1.961
y[1] (analytic) = 0.20637615645458971285027967064842
y[1] (numeric) = 0.20637615645458971217366250697661
absolute error = 6.7661716367181e-19
relative error = 3.2785626755321924630100000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.223
Order of pole = 3.555
x[1] = -1.96
y[1] (analytic) = 0.20654329147389292795769993390615
y[1] (numeric) = 0.20654329147389292725884751750164
absolute error = 6.9885241640451e-19
relative error = 3.3835638592640756159999999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.222
Order of pole = 3.555
x[1] = -1.959
y[1] (analytic) = 0.20671061196469961537356431728343
y[1] (numeric) = 0.20671061196469961465221345876758
absolute error = 7.2135085851585e-19
relative error = 3.4896653425758157438499999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.221
Order of pole = 3.554
x[1] = -1.958
y[1] (analytic) = 0.20687811817043612389847745980151
y[1] (numeric) = 0.20687811817043612315436352054497
absolute error = 7.4411393925654e-19
relative error = 3.5968711714764498165600000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.22
Order of pole = 3.554
x[1] = -1.957
y[1] (analytic) = 0.20704581033485725951266799438243
y[1] (numeric) = 0.20704581033485725874552487985594
absolute error = 7.6714311452649e-19
relative error = 3.7051854045526532000100000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.219
Order of pole = 3.553
x[1] = -1.956
y[1] (analytic) = 0.20721368870204660816057237393948
y[1] (numeric) = 0.20721368870204660737013252703783
absolute error = 7.9043984690165e-19
relative error = 3.8146121129971611944000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.218
Order of pole = 3.553
x[1] = -1.955
y[1] (analytic) = 0.20738175351641685806274334952639
y[1] (numeric) = 0.20738175351641685724873774386541
absolute error = 8.1400560566098e-19
relative error = 3.9251553806373870845000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.217
Order of pole = 3.552
x[1] = -1.954
y[1] (analytic) = 0.20755000502271012154958494149996
y[1] (numeric) = 0.20755000502271012071174307468642
absolute error = 8.3784186681354e-19
relative error = 4.0368193039641860906399999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.216
Order of pole = 3.552
x[1] = -1.953
y[1] (analytic) = 0.20771844346599825641138554641064
y[1] (numeric) = 0.20771844346599825554943543328508
absolute error = 8.6195011312556e-19
relative error = 4.1496079921600890820399999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.215
Order of pole = 3.552
x[1] = -1.952
y[1] (analytic) = 0.20788706909168318675909048575724
y[1] (numeric) = 0.20788706909168318587275865160952
absolute error = 8.8633183414772e-19
relative error = 4.2635255671281141068800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.214
Order of pole = 3.551
x[1] = -1.951
y[1] (analytic) = 0.20805588214549722339022482726681
y[1] (numeric) = 0.20805588214549722247923630102435
absolute error = 9.1098852624246e-19
relative error = 4.3785761635202859864599999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.213
Order of pole = 3.551
x[1] = -1.95
y[1] (analytic) = 0.20822488287350338365434669442998
y[1] (numeric) = 0.20822488287350338271842500181865
absolute error = 9.3592169261133e-19
relative error = 4.4947639287659123250000000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.949
y[1] (analytic) = 0.20839407152209571081238052507387
y[1] (numeric) = 0.2083940715220957098512476817513
absolute error = 9.6113284332257e-19
relative error = 4.6120930231005277245700000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.212
Order of pole = 3.55
x[1] = -1.948
y[1] (analytic) = 0.20856344833799959288414884422479
y[1] (numeric) = 0.20856344833799959189752534888619
absolute error = 9.8662349533860e-19
relative error = 4.7305676195939667744000000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.211
Order of pole = 3.549
x[1] = -1.947
y[1] (analytic) = 0.20873301356827208097839007983829
y[1] (numeric) = 0.20873301356827207996599490729454
absolute error = 1.01239517254375e-18
relative error = 4.8501919041791503937500000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.21
Order of pole = 3.549
x[1] = -1.946
y[1] (analytic) = 0.20890276746030220709951877158488
y[1] (numeric) = 0.20890276746030220606106936581289
absolute error = 1.03844940577199e-18
relative error = 4.9709700756804312828400000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.209
Order of pole = 3.549
x[1] = -1.945
y[1] (analytic) = 0.2090727102618113014253532022099
y[1] (numeric) = 0.20907271026181130036056546937512
absolute error = 1.06478773283478e-18
relative error = 5.0929063458420736095000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.208
Order of pole = 3.548
x[1] = -1.944
y[1] (analytic) = 0.20924284222085330905000401746257
y[1] (numeric) = 0.20924284222085330795859231891355
absolute error = 1.09141169854902e-18
relative error = 5.2160049393567692467200000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=1.62
Complex estimate of poles used
Radius of convergence = 2.207
Order of pole = 3.548
x[1] = -1.943
y[1] (analytic) = 0.20941316358581510618608579364134
y[1] (numeric) = 0.20941316358581510506776293887627
absolute error = 1.11832285476507e-18
relative error = 5.3402700938940457524299999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.206
Order of pole = 3.547
x[1] = -1.942
y[1] (analytic) = 0.20958367460541681582038176085497
y[1] (numeric) = 0.20958367460541681467485900046012
absolute error = 1.14552276039485e-18
relative error = 5.4657060601286130753999999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.205
Order of pole = 3.547
x[1] = -1.941
y[1] (analytic) = 0.20975437552871212281705999457575
y[1] (numeric) = 0.20975437552871212164404701313568
absolute error = 1.17301298144007e-18
relative error = 5.5923171017688863636700000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.204
Order of pole = 3.547
x[1] = -1.94
y[1] (analytic) = 0.20992526660508858846250734738433
y[1] (numeric) = 0.20992526660508858726171225636382
absolute error = 1.20079509102051e-18
relative error = 5.7201074955853014360000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.203
Order of pole = 3.546
x[1] = -1.939
y[1] (analytic) = 0.2100963480842679644458152063955
y[1] (numeric) = 0.21009634808426796321694453699311
absolute error = 1.22887066940239e-18
relative error = 5.8490815314386131331900000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.202
Order of pole = 3.546
x[1] = -1.938
y[1] (analytic) = 0.21026762021630650626891882912896
y[1] (numeric) = 0.21026762021630650501167752510209
absolute error = 1.25724130402687e-18
relative error = 5.9792435123083655282800000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.201
Order of pole = 3.545
x[1] = -1.937
y[1] (analytic) = 0.21043908325159528608035953096495
y[1] (numeric) = 0.21043908325159528479445094142635
absolute error = 1.28590858953860e-18
relative error = 6.1105977543211515034000000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.2
Order of pole = 3.545
x[1] = -1.936
y[1] (analytic) = 0.21061073744086050492660637021661
y[1] (numeric) = 0.21061073744086050361173224240223
absolute error = 1.31487412781438e-18
relative error = 6.2431485867789464204800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.935
y[1] (analytic) = 0.21078258303516380441484120167151
y[1] (numeric) = 0.21078258303516380307070167367963
absolute error = 1.34413952799188e-18
relative error = 6.3769003521872768929999999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.199
Order of pole = 3.544
x[1] = -1.934
y[1] (analytic) = 0.21095462028590257778107804561514
y[1] (numeric) = 0.21095462028590257640737163911664
absolute error = 1.37370640649850e-18
relative error = 6.5118574062836034660000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.198
Order of pole = 3.544
x[1] = -1.933
y[1] (analytic) = 0.21112684944481028035745464625802
y[1] (numeric) = 0.21112684944481027895387825917772
absolute error = 1.40357638708030e-18
relative error = 6.6480241180655830667000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.197
Order of pole = 3.543
x[1] = -1.932
y[1] (analytic) = 0.211299270763956739432500870553
y[1] (numeric) = 0.21129927076395673799874976972202
absolute error = 1.43375110083098e-18
relative error = 6.7854048698191158915199999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.196
Order of pole = 3.543
x[1] = -1.931
y[1] (analytic) = 0.2114718844957484634981552250156
y[1] (numeric) = 0.21147188449574846203392303879459
absolute error = 1.46423218622101e-18
relative error = 6.9240040571466494686100000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.195
Order of pole = 3.542
x[1] = -1.93
y[1] (analytic) = 0.21164469089292895087726724375119
y[1] (numeric) = 0.21164469089292894938224595462436
absolute error = 1.49502128912683e-18
relative error = 7.0638260889953590670000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.194
Order of pole = 3.542
x[1] = -1.929
y[1] (analytic) = 0.21181769020857899772528982485007
y[1] (numeric) = 0.21181769020857899619916976198996
absolute error = 1.52612006286011e-18
relative error = 7.2048753876851565745100000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.193
Order of pole = 3.542
x[1] = -1.928
y[1] (analytic) = 0.21199088269611700539983176403549
y[1] (numeric) = 0.21199088269611700384230159583836
absolute error = 1.55753016819713e-18
relative error = 7.3471563889368104819200000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.192
Order of pole = 3.541
x[1] = -1.927
y[1] (analytic) = 0.21216426860929928719170675333718
y[1] (numeric) = 0.21216426860929928560245347992891
absolute error = 1.58925327340827e-18
relative error = 7.4906735419001278308300000000002e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.191
Order of pole = 3.541
x[1] = -1.926
y[1] (analytic) = 0.21233784820222037441108097801114
y[1] (numeric) = 0.21233784820222037278978992372358
absolute error = 1.62129105428756e-18
relative error = 7.6354313091819609185600000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.19
Order of pole = 3.54
x[1] = -1.925
y[1] (analytic) = 0.21251162172931332182228715632886
y[1] (numeric) = 0.21251162172931332016864196214656
absolute error = 1.65364519418230e-18
relative error = 7.7814341668740854375000000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.189
Order of pole = 3.54
x[1] = -1.924
y[1] (analytic) = 0.21268558944535001242083842360844
y[1] (numeric) = 0.21268558944535001073452103958561
absolute error = 1.68631738402283e-18
relative error = 7.9286866045813255460800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.188
Order of pole = 3.54
x[1] = -1.923
y[1] (analytic) = 0.21285975160544146154614086334638
y[1] (numeric) = 0.21285975160544145982683154099403
absolute error = 1.71930932235235e-18
relative error = 8.0771931254494532831500000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
x[1] = -1.922
y[1] (analytic) = 0.21303410846503812032336873392125
y[1] (numeric) = 0.21303410846503811857074601856442
absolute error = 1.75262271535683e-18
relative error = 8.2269582461930499937200000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.187
Order of pole = 3.539
memory used=15.2MB, alloc=4.3MB, time=2.20
x[1] = -1.921
y[1] (analytic) = 0.21320866027993017842793152846517
y[1] (numeric) = 0.21320866027993017664167225157013
absolute error = 1.78625927689504e-18
relative error = 8.3779864971234693046399999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.186
Order of pole = 3.538
x[1] = -1.92
y[1] (analytic) = 0.21338340730624786616592693752134
y[1] (numeric) = 0.21338340730624786434570620899271
absolute error = 1.82022072852863e-18
relative error = 8.5302824221765716319999999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.185
Order of pole = 3.538
x[1] = -1.919
y[1] (analytic) = 0.21355834980046175586393855840853
y[1] (numeric) = 0.21355834980046175400942975885619
absolute error = 1.85450879955234e-18
relative error = 8.6838505789406047427400000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.184
Order of pole = 3.538
x[1] = -1.918
y[1] (analytic) = 0.21373348801938306256150181117758
y[1] (numeric) = 0.21373348801938306067237658415329
absolute error = 1.88912522702429e-18
relative error = 8.8386955386839942059599999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.183
Order of pole = 3.537
x[1] = -1.917
y[1] (analytic) = 0.21390882222016394399952597804996
y[1] (numeric) = 0.21390882222016394207545422225363
absolute error = 1.92407175579633e-18
relative error = 8.9948218863829493573700000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.182
Order of pole = 3.537
x[1] = -1.916
y[1] (analytic) = 0.21408435266029779989792458065157
y[1] (numeric) = 0.21408435266029779793857444210703
absolute error = 1.95935013854454e-18
relative error = 9.1522342207493048342400000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.181
Order of pole = 3.536
x[1] = -1.915
y[1] (analytic) = 0.21426007959761957051567044657157
y[1] (numeric) = 0.2142600795976195685207083107718
absolute error = 1.99496213579977e-18
relative error = 9.3109371542580815382500000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.18
Order of pole = 3.536
x[1] = -1.914
y[1] (analytic) = 0.21443600329030603448645579316018
y[1] (numeric) = 0.2144360032903060324555462771819
absolute error = 2.03090951597828e-18
relative error = 9.4709353131750470388799999999999e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.179
Order of pole = 3.536
x[1] = -1.913
y[1] (analytic) = 0.21461212399687610592310147140218
y[1] (numeric) = 0.21461212399687610385590741598969
absolute error = 2.06719405541249e-18
relative error = 9.6322333375843206168100000000001e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.178
Order of pole = 3.535
x[1] = -1.912
y[1] (analytic) = 0.21478844197619113078382316553487
y[1] (numeric) = 0.21478844197619112868000562715304
absolute error = 2.10381753838183e-18
relative error = 9.7948358814159747315200000000002e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.177
Order of pole = 3.535
x[1] = -1.911
y[1] (analytic) = 0.21496495748745518249342583418764
y[1] (numeric) = 0.214964957487455180352644077044
absolute error = 2.14078175714364e-18
relative error = 9.9587476124733989324400000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.176
Order of pole = 3.535
x[1] = -1.91
y[1] (analytic) = 0.21514167079021535681246100557217
y[1] (numeric) = 0.21514167079021535463437249360798
absolute error = 2.17808851196419e-18
relative error = 1.0123973212460751539000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.909
y[1] (analytic) = 0.21531858214436206594734470201092
y[1] (numeric) = 0.21531858214436206373160509086114
absolute error = 2.21573961114978e-18
relative error = 1.0290517377010311408180000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.175
Order of pole = 3.534
x[1] = -1.908
y[1] (analytic) = 0.21549569181012933189439676721983
y[1] (numeric) = 0.21549569181012932964065989614184
absolute error = 2.25373687107799e-18
relative error = 1.0458384815710053787360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.174
Order of pole = 3.534
x[1] = -1.907
y[1] (analytic) = 0.21567300004809507901072520261939
y[1] (numeric) = 0.21567300004809507671864308639053
absolute error = 2.29208211622886e-18
relative error = 1.0627580252130427490140000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.173
Order of pole = 3.533
x[1] = -1.906
y[1] (analytic) = 0.21585050711918142580484178589529
y[1] (numeric) = 0.2158505071191814234740646066789
absolute error = 2.33077717921639e-18
relative error = 1.0798108423852143382040000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.172
Order of pole = 3.533
x[1] = -1.905
y[1] (analytic) = 0.21602821328465497593985774542155
y[1] (numeric) = 0.21602821328465497357003384460161
absolute error = 2.36982390081994e-18
relative error = 1.0969974082493022758500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.171
Order of pole = 3.532
x[1] = -1.904
y[1] (analytic) = 0.21620611880612710844207059735156
y[1] (numeric) = 0.21620611880612710603284646733574
absolute error = 2.40922413001582e-18
relative error = 1.1143181993735250917120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.17
Order of pole = 3.532
x[1] = -1.903
y[1] (analytic) = 0.21638422394555426710771541752742
y[1] (numeric) = 0.21638422394555426465873569351849
absolute error = 2.44897972400893e-18
relative error = 1.1317736937352385182370000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.169
Order of pole = 3.532
x[1] = -1.902
y[1] (analytic) = 0.21656252896523824910061581720737
y[1] (numeric) = 0.21656252896523824661152326894284
absolute error = 2.48909254826453e-18
relative error = 1.1493643707236486786120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.168
Order of pole = 3.531
x[1] = -1.901
y[1] (analytic) = 0.21674103412782649273343171931342
y[1] (numeric) = 0.21674103412782649020386724277339
absolute error = 2.52956447654003e-18
relative error = 1.1670907111424866954030000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.167
Order of pole = 3.531
x[1] = -1.9
y[1] (analytic) = 0.21691973969631236442516268980477
y[1] (numeric) = 0.21691973969631236185476529888777
absolute error = 2.57039739091700e-18
relative error = 1.1849531972127370000000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.166
Order of pole = 3.531
x[1] = -1.899
y[1] (analytic) = 0.21709864593403544482752706623094
y[1] (numeric) = 0.21709864593403544221593388439782
absolute error = 2.61159318183312e-18
relative error = 1.2029523125752899177120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.165
Order of pole = 3.53
memory used=19.0MB, alloc=4.3MB, time=2.78
x[1] = -1.898
y[1] (analytic) = 0.21727775310468181411279844185778
y[1] (numeric) = 0.21727775310468181145964469374347
absolute error = 2.65315374811431e-18
relative error = 1.2210885422936292801240000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 3.53
x[1] = -1.897
y[1] (analytic) = 0.21745706147228433641564220832865
y[1] (numeric) = 0.2174570614722843337205612113217
absolute error = 2.69508099700695e-18
relative error = 1.2393623728565133332550000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.164
Order of pole = 3.53
x[1] = -1.896
y[1] (analytic) = 0.21763657130122294342145583196367
y[1] (numeric) = 0.2176365713012229406840789877535
absolute error = 2.73737684421017e-18
relative error = 1.2577742921806396478720000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.163
Order of pole = 3.529
x[1] = -1.895
y[1] (analytic) = 0.21781628285622491709367733784939
y[1] (numeric) = 0.21781628285622491431363412394114
absolute error = 2.78004321390825e-18
relative error = 1.2763247896133123456250000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.162
Order of pole = 3.529
x[1] = -1.894
y[1] (analytic) = 0.21799619640236517153248710116506
y[1] (numeric) = 0.21799619640236516870940506236201
absolute error = 2.82308203880305e-18
relative error = 1.2950143559350747869800000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.161
Order of pole = 3.529
x[1] = -1.893
y[1] (analytic) = 0.21817631220506653395728849606486
y[1] (numeric) = 0.21817631220506653109079323591823
absolute error = 2.86649526014663e-18
relative error = 1.3138434833623811126870000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.16
Order of pole = 3.529
x[1] = -1.892
y[1] (analytic) = 0.21835663053010002480531322821936
y[1] (numeric) = 0.21835663053010002189502840044546
absolute error = 2.91028482777390e-18
relative error = 1.3328126655502329969600000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.159
Order of pole = 3.528
x[1] = -1.891
y[1] (analytic) = 0.2185371516435851369386572771451
y[1] (numeric) = 0.21853715164358513398420457700974
absolute error = 2.95445270013536e-18
relative error = 1.3519223975948091252160000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.158
Order of pole = 3.528
x[1] = -1.89
y[1] (analytic) = 0.21871787581199011395201329804685
y[1] (numeric) = 0.2187178758119901109530124537169
absolute error = 2.99900084432995e-18
relative error = 1.3711731760360964395000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.157
Order of pole = 3.528
x[1] = -1.889
y[1] (analytic) = 0.21889880330213222757332507938912
y[1] (numeric) = 0.21889880330213222452939384325114
absolute error = 3.04393123613798e-18
relative error = 1.3905654988605092931580000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.156
Order of pole = 3.527
x[1] = -1.888
y[1] (analytic) = 0.21907993438117805414954922112702
y[1] (numeric) = 0.21907993438117805106030336107285
absolute error = 3.08924586005417e-18
relative error = 1.4100998655035101348480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.155
Order of pole = 3.527
x[1] = -1.887
y[1] (analytic) = 0.21926126931664375020966858878404
y[1] (numeric) = 0.21926126931664374707472187946329
absolute error = 3.13494670932075e-18
relative error = 1.4297767768522087656750000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.154
Order of pole = 3.527
x[1] = -1.886
y[1] (analytic) = 0.21944280837639532709706130968735
y[1] (numeric) = 0.21944280837639532391602552372666
absolute error = 3.18103578596069e-18
relative error = 1.4495967352479720487240000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 3.526
x[1] = -1.885
y[1] (analytic) = 0.2196245518286489246632881089777
y[1] (numeric) = 0.21962455182864892143577300816674
absolute error = 3.22751510081096e-18
relative error = 1.4695602444889983346000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.153
Order of pole = 3.526
x[1] = -1.884
y[1] (analytic) = 0.21980649994197108401531963381996
y[1] (numeric) = 0.21980649994197108074093296026397
absolute error = 3.27438667355599e-18
relative error = 1.4896678098329340041440000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.152
Order of pole = 3.526
x[1] = -1.883
y[1] (analytic) = 0.21998865298527901930818408386495
y[1] (numeric) = 0.2199886529852790159865315511039
absolute error = 3.32165253276105e-18
relative error = 1.5099199379994044613450000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.151
Order of pole = 3.526
x[1] = -1.882
y[1] (analytic) = 0.22017101122784088857497395376937
y[1] (numeric) = 0.22017101122784088520565923786344
absolute error = 3.36931471590593e-18
relative error = 1.5303171371726325209320000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.15
Order of pole = 3.525
x[1] = -1.881
y[1] (analytic) = 0.22035357493927606358610899877726
y[1] (numeric) = 0.22035357493927606016873372935872
absolute error = 3.41737526941854e-18
relative error = 1.5508599170039710904940000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.149
Order of pole = 3.525
x[1] = -1.88
y[1] (analytic) = 0.22053634438955539872971065631616
y[1] (numeric) = 0.22053634438955539526387440760751
absolute error = 3.46583624870865e-18
relative error = 1.5715487886144502560000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.148
Order of pole = 3.525
x[1] = -1.879
y[1] (analytic) = 0.22071931984900149890490109456918
y[1] (numeric) = 0.22071931984900149539020137636739
absolute error = 3.51469971820179e-18
relative error = 1.5923842645973476047390000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.147
Order of pole = 3.525
x[1] = -1.878
y[1] (analytic) = 0.22090250158828898641979781235835
y[1] (numeric) = 0.2209025015882889828558300609852
absolute error = 3.56396775137315e-18
relative error = 1.6133668590207090764600000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.146
Order of pole = 3.524
x[1] = -1.877
y[1] (analytic) = 0.22108588987844476688593228271845
y[1] (numeric) = 0.22108588987844476327228985193685
absolute error = 3.61364243078160e-18
relative error = 1.6344970874298747626400000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.145
Order of pole = 3.524
x[1] = -1.876
y[1] (analytic) = 0.22126948499084829410077851455599
y[1] (numeric) = 0.22126948499084829043705266645218
absolute error = 3.66372584810381e-18
relative error = 1.6557754668500004422560000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.144
Order of pole = 3.524
memory used=22.8MB, alloc=4.4MB, time=3.37
x[1] = -1.875
y[1] (analytic) = 0.22145328719723183391003460207612
y[1] (numeric) = 0.22145328719723183019581449790764
absolute error = 3.71422010416848e-18
relative error = 1.6772025157885792500000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 3.524
x[1] = -1.874
y[1] (analytic) = 0.22163729676968072704125733951908
y[1] (numeric) = 0.22163729676968072327613003052847
absolute error = 3.76512730899061e-18
relative error = 1.6987787542379317484360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.143
Order of pole = 3.523
x[1] = -1.873
y[1] (analytic) = 0.22182151398063365090040679847449
y[1] (numeric) = 0.2218215139806336470839572166686
absolute error = 3.81644958180589e-18
relative error = 1.7205047036777005079810000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.142
Order of pole = 3.523
x[1] = -1.872
y[1] (analytic) = 0.22200593910288288032281439593072
y[1] (numeric) = 0.22200593910288287645462534482556
absolute error = 3.86818905110516e-18
relative error = 1.7423808870773265021440000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.141
Order of pole = 3.523
x[1] = -1.871
y[1] (analytic) = 0.22219057240957454727004442256114
y[1] (numeric) = 0.22219057240957454334969656789212
absolute error = 3.92034785466902e-18
relative error = 1.7644078288985432841820000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.14
Order of pole = 3.523
x[1] = -1.87
y[1] (analytic) = 0.22237541417420889946407525184016
y[1] (numeric) = 0.2223754141742088954911471122377
absolute error = 3.97292813960246e-18
relative error = 1.7865860550978302374000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.139
Order of pole = 3.522
x[1] = -1.869
y[1] (analytic) = 0.22256046467064055795018251070905
y[1] (numeric) = 0.22256046467064055392425044833948
absolute error = 4.02593206236957e-18
relative error = 1.8089160931288519510770000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.138
Order of pole = 3.522
x[1] = -1.868
y[1] (analytic) = 0.22274572417307877357986236096212
y[1] (numeric) = 0.22274572417307876950050057213366
absolute error = 4.07936178882846e-18
relative error = 1.8313984719449420207040000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.137
Order of pole = 3.522
x[1] = -1.867
y[1] (analytic) = 0.22293119295608768240508871658289
y[1] (numeric) = 0.2229311929560876782718692223168
absolute error = 4.13321949426609e-18
relative error = 1.8540337220014962986010000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.136
Order of pole = 3.522
x[1] = -1.866
y[1] (analytic) = 0.22311687129458655997515370521263
y[1] (numeric) = 0.22311687129458655578764634177929
absolute error = 4.18750736343334e-18
relative error = 1.8768223752584238813040000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.135
Order of pole = 3.522
x[1] = -1.865
y[1] (analytic) = 0.22330275946385007452729597105996
y[1] (numeric) = 0.22330275946385007028506838047986
absolute error = 4.24222759058010e-18
relative error = 1.8997649651825568322500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.134
Order of pole = 3.521
x[1] = -1.864
y[1] (analytic) = 0.22348885773950853906227651114226
y[1] (numeric) = 0.22348885773950853476489413165181
absolute error = 4.29738237949045e-18
relative error = 1.9228620267500500563200000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 3.521
x[1] = -1.863
y[1] (analytic) = 0.22367516639754816229601663606418
y[1] (numeric) = 0.22367516639754815794304269254623
absolute error = 4.35297394351795e-18
relative error = 1.9461140964487801803550000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.133
Order of pole = 3.521
x[1] = -1.862
y[1] (analytic) = 0.22386168571431129847836734986268
y[1] (numeric) = 0.22386168571431129406936284424169
absolute error = 4.40900450562099e-18
relative error = 1.9695217122807209653560000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.132
Order of pole = 3.521
x[1] = -1.861
y[1] (analytic) = 0.22404841596649669607003395005647
y[1] (numeric) = 0.22404841596649669160455765165817
absolute error = 4.46547629839830e-18
relative error = 1.9930854137643398754300000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.131
Order of pole = 3.521
x[1] = -1.86
y[1] (analytic) = 0.22423535743115974526863395820253
y[1] (numeric) = 0.2242353574311597407462423940781
absolute error = 4.52239156412443e-18
relative error = 2.0168057419369308028000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.13
Order of pole = 3.52
x[1] = -1.859
y[1] (analytic) = 0.22442251038571272437482060225576
y[1] (numeric) = 0.22442251038571271979506804747035
absolute error = 4.57975255478541e-18
relative error = 2.0406832393569767496210000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.129
Order of pole = 3.52
x[1] = -1.858
y[1] (analytic) = 0.22460987510792504498935798411739
y[1] (numeric) = 0.22460987510792504035179645200291
absolute error = 4.63756153211448e-18
relative error = 2.0647184501064931734720000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.128
Order of pole = 3.52
x[1] = -1.857
y[1] (analytic) = 0.22479745187592349603198777821214
y[1] (numeric) = 0.22479745187592349133616701058426
absolute error = 4.69582076762788e-18
relative error = 2.0889119197933475158120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.127
Order of pole = 3.52
x[1] = -1.856
y[1] (analytic) = 0.22498524096819248657288081901827
y[1] (numeric) = 0.22498524096819248181834827635751
absolute error = 4.75453254266076e-18
relative error = 2.1132641955535815759360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.126
Order of pole = 3.52
x[1] = -1.855
y[1] (analytic) = 0.22517324266357428746742024645211
y[1] (numeric) = 0.22517324266357428265372109804893
absolute error = 4.81369914840318e-18
relative error = 2.1377758260537232459500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.125
Order of pole = 3.52
x[1] = -1.854
y[1] (analytic) = 0.22536145724126927178501598714178
y[1] (numeric) = 0.22536145724126926691169310120564
absolute error = 4.87332288593614e-18
relative error = 2.1624473614930609000240000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 3.519
x[1] = -1.853
y[1] (analytic) = 0.22554988498083615402260325617347
y[1] (numeric) = 0.22554988498083614908919718990572
absolute error = 4.93340606626775e-18
relative error = 2.1872793536059292809750000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.124
Order of pole = 3.519
x[1] = -1.852
y[1] (analytic) = 0.22573852616219222809343046711622
y[1] (numeric) = 0.22573852616219222309947945674671
memory used=26.7MB, alloc=4.4MB, time=3.97
absolute error = 4.99395101036951e-18
relative error = 2.2122723556639933827040000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.123
Order of pole = 3.519
x[1] = -1.851
y[1] (analytic) = 0.2259273810656136040816944372838
y[1] (numeric) = 0.2259273810656135990267343880712
absolute error = 5.05496004921260e-18
relative error = 2.2374269224784859332600000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.122
Order of pole = 3.519
x[1] = -1.85
y[1] (analytic) = 0.22611644997173544375353306953081
y[1] (numeric) = 0.22611644997173543863709754572648
absolute error = 5.11643552380433e-18
relative error = 2.2627436104024649425000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.121
Order of pole = 3.519
x[1] = -1.849
y[1] (analytic) = 0.22630573316155219481483778065588
y[1] (numeric) = 0.22630573316155218963645799543129
absolute error = 5.17837978522459e-18
relative error = 2.2882229773330203516590000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.12
Order of pole = 3.519
x[1] = -1.848
y[1] (analytic) = 0.2264952309164178239062998289508
y[1] (numeric) = 0.22649523091641781866550463428827
absolute error = 5.24079519466253e-18
relative error = 2.3138655827135314853120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.119
Order of pole = 3.519
x[1] = -1.847
y[1] (analytic) = 0.22668494351804604832605636883816
y[1] (numeric) = 0.22668494351804604302237224538502
absolute error = 5.30368412345314e-18
relative error = 2.3396719875358292874260000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.118
Order of pole = 3.519
x[1] = -1.846
y[1] (analytic) = 0.22687487124851056647025352813112
y[1] (numeric) = 0.22687487124851056110320457501704
absolute error = 5.36704895311408e-18
relative error = 2.3656427543424180241280000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.117
Order of pole = 3.518
x[1] = -1.845
y[1] (analytic) = 0.22706501439024528698179506247126
y[1] (numeric) = 0.22706501439024528155090298708877
absolute error = 5.43089207538249e-18
relative error = 2.3917784472286370522250000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.116
Order of pole = 3.518
x[1] = -1.844
y[1] (analytic) = 0.22725537322604455659749619119994
y[1] (numeric) = 0.227255373226044551102280298948
absolute error = 5.49521589225194e-18
relative error = 2.4180796318448332651840000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 3.518
x[1] = -1.843
y[1] (analytic) = 0.22744594803906338668381305853617
y[1] (numeric) = 0.22744594803906338112379024252674
absolute error = 5.56002281600943e-18
relative error = 2.4445468753985044400070000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.115
Order of pole = 3.518
x[1] = -1.842
y[1] (analytic) = 0.22763673911281767845126889271116
y[1] (numeric) = 0.22763673911281767282595362343866
absolute error = 5.62531526927250e-18
relative error = 2.4711807466564398690000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.114
Order of pole = 3.518
x[1] = -1.841
y[1] (analytic) = 0.22782774673118444683764835288513
y[1] (numeric) = 0.2278277467311844411465526678587
absolute error = 5.69109568502643e-18
relative error = 2.4979818159468493696830000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.113
Order of pole = 3.518
x[1] = -1.84
y[1] (analytic) = 0.22801897117840204304998175848231
y[1] (numeric) = 0.22801897117840203729261525182084
absolute error = 5.75736650666147e-18
relative error = 2.5249506551614542832000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.112
Order of pole = 3.518
x[1] = -1.839
y[1] (analytic) = 0.22821041273907037575529088726155
y[1] (numeric) = 0.22821041273907036993116069925132
absolute error = 5.82413018801023e-18
relative error = 2.5520878377575975051830000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.111
Order of pole = 3.518
x[1] = -1.838
y[1] (analytic) = 0.22840207169815113091001780622551
y[1] (numeric) = 0.22840207169815112501862861284042
absolute error = 5.89138919338509e-18
relative error = 2.5793939387603109981960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.11
Order of pole = 3.518
x[1] = -1.837
y[1] (analytic) = 0.2285939483409679902180077625933
y[1] (numeric) = 0.22859394834096798425886176497754
absolute error = 5.95914599761576e-18
relative error = 2.6068695347643977607440000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.109
Order of pole = 3.518
x[1] = -1.836
y[1] (analytic) = 0.22878604295320684820686650974995
y[1] (numeric) = 0.22878604295320684217946342366314
absolute error = 6.02740308608681e-18
relative error = 2.6345152039364493481760000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.108
Order of pole = 3.518
x[1] = -1.835
y[1] (analytic) = 0.22897835582091602791246157456966
y[1] (numeric) = 0.22897835582091602181629861979424
absolute error = 6.09616295477542e-18
relative error = 2.6623315260169083609500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.107
Order of pole = 3.518
x[1] = -1.834
y[1] (analytic) = 0.22917088723050649516128588701509
y[1] (numeric) = 0.22917088723050648899585777672595
absolute error = 6.16542811028914e-18
relative error = 2.6903190823220838581840000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 3.517
x[1] = -1.833
y[1] (analytic) = 0.22936363746875207144035088966715
y[1] (numeric) = 0.22936363746875206520514981976346
absolute error = 6.23520106990369e-18
relative error = 2.7184784557461329090409999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.106
Order of pole = 3.517
x[1] = -1.832
y[1] (analytic) = 0.22955660682278964534422472306291
y[1] (numeric) = 0.22955660682278963903874036146198
absolute error = 6.30548436160093e-18
relative error = 2.7468102307630649688320000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.105
Order of pole = 3.517
x[1] = -1.831
y[1] (analytic) = 0.22974979558011938258877934163358
y[1] (numeric) = 0.2297497955801193762124988175267
absolute error = 6.37628052410688e-18
relative error = 2.7753149934287165719680000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.104
Order of pole = 3.517
x[1] = -1.83
y[1] (analytic) = 0.2299432040286049345811584538619
y[1] (numeric) = 0.22994320402860492813356634693212
absolute error = 6.44759210692978e-18
relative error = 2.8039933313826920242000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.103
Order of pole = 3.517
x[1] = -1.829
y[1] (analytic) = 0.23013683245647364553542599823577
y[1] (numeric) = 0.2301368324564736390160043278375
absolute error = 6.51942167039827e-18
relative error = 2.8328458338503049133070000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.4MB, time=4.56
Complex estimate of poles used
Radius of convergence = 2.102
Order of pole = 3.517
x[1] = -1.828
y[1] (analytic) = 0.23033068115231675812330246287991
y[1] (numeric) = 0.23033068115231675153153067718023
absolute error = 6.59177178569968e-18
relative error = 2.8618730916445159493120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.101
Order of pole = 3.517
x[1] = -1.827
y[1] (analytic) = 0.23052475040508961764934373061431
y[1] (numeric) = 0.23052475040508961098469869569601
absolute error = 6.66464503491830e-18
relative error = 2.8910756971678106200700000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.1
Order of pole = 3.517
x[1] = -1.826
y[1] (analytic) = 0.23071904050411187473986428183161
y[1] (numeric) = 0.23071904050411186800182027075777
absolute error = 6.73804401107384e-18
relative error = 2.9204542444141078939840000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.099
Order of pole = 3.517
x[1] = -1.825
y[1] (analytic) = 0.23091355173906768653485351421562
y[1] (numeric) = 0.23091355173906767972288219605569
absolute error = 6.81197131815993e-18
relative error = 2.9500093289706346856249999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 3.517
x[1] = -1.824
y[1] (analytic) = 0.23110828440000591637208064015146
y[1] (numeric) = 0.23110828440000590948565106896884
absolute error = 6.88642957118262e-18
relative error = 2.9797415480197488357120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.098
Order of pole = 3.517
x[1] = -1.823
y[1] (analytic) = 0.2313032387773403319525300989122
y[1] (numeric) = 0.23130323877734032499110870271308
absolute error = 6.96142139619912e-18
relative error = 3.0096515003408145270480000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.097
Order of pole = 3.517
x[1] = -1.822
y[1] (analytic) = 0.23149841516184980197625567055368
y[1] (numeric) = 0.2314984151618497949393062401972
absolute error = 7.03694943035648e-18
relative error = 3.0397397863120000952320000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.096
Order of pole = 3.517
x[1] = -1.821
y[1] (analytic) = 0.23169381384467849123768750111503
y[1] (numeric) = 0.23169381384467848412467117918466
absolute error = 7.11301632193037e-18
relative error = 3.0700070079120676065170000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.095
Order of pole = 3.517
x[1] = -1.82
y[1] (analytic) = 0.2318894351173360541693720434097
y[1] (numeric) = 0.2318894351173360469797473130457
absolute error = 7.18962473036400e-18
relative error = 3.1004537687221713600000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.094
Order of pole = 3.517
x[1] = -1.819
y[1] (analytic) = 0.23208527927169782682307048360306
y[1] (numeric) = 0.23208527927169781955629315729597
absolute error = 7.26677732630709e-18
relative error = 3.1310806739276263415490000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.093
Order of pole = 3.517
x[1] = -1.818
y[1] (analytic) = 0.23228134660000501727708656010837
y[1] (numeric) = 0.23228134660000500993260976845352
absolute error = 7.34447679165485e-18
relative error = 3.1618883303196294451400000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.092
Order of pole = 3.518
x[1] = -1.817
y[1] (analytic) = 0.23247763739486489445863978729226
y[1] (numeric) = 0.23247763739486488703591396770511
absolute error = 7.42272581958715e-18
relative error = 3.1928773462970110266350000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 3.518
x[1] = -1.816
y[1] (analytic) = 0.23267415194925097537004497126009
y[1] (numeric) = 0.23267415194925096786851785665243
absolute error = 7.50152711460766e-18
relative error = 3.2240483318679219176960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.091
Order of pole = 3.518
x[1] = -1.815
y[1] (analytic) = 0.23287089055650321070740354778802
y[1] (numeric) = 0.23287089055650320312652015520488
absolute error = 7.58088339258314e-18
relative error = 3.2554018986515334366500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.09
Order of pole = 3.518
x[1] = -1.814
y[1] (analytic) = 0.23306785351032816886045668247488
y[1] (numeric) = 0.23306785351032816119965930169211
absolute error = 7.66079738078277e-18
relative error = 3.2869386598797029830920000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.089
Order of pole = 3.518
x[1] = -1.813
y[1] (analytic) = 0.23326504110479921828219424959686
y[1] (numeric) = 0.2332650411047992105409224316793
absolute error = 7.74127181791756e-18
relative error = 3.3186592303986224275640000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.088
Order of pole = 3.518
x[1] = -1.812
y[1] (analytic) = 0.23346245363435670821675774815191
y[1] (numeric) = 0.23346245363435670039444829397209
absolute error = 7.82230945417982e-18
relative error = 3.3505642266704406918080000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.087
Order of pole = 3.518
x[1] = -1.811
y[1] (analytic) = 0.23366009139380814777411892036887
y[1] (numeric) = 0.23366009139380813987020586908614
absolute error = 7.90391305128273e-18
relative error = 3.3826542667748776518330000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.086
Order of pole = 3.518
x[1] = -1.81
y[1] (analytic) = 0.23385795467832838333995930871589
y[1] (numeric) = 0.2338579546783283753538739262159
absolute error = 7.98608538249999e-18
relative error = 3.4149299704108207238999999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.085
Order of pole = 3.518
x[1] = -1.809
y[1] (analytic) = 0.23405604378345977430911922136108
y[1] (numeric) = 0.23405604378345976624028998865562
absolute error = 8.06882923270546e-18
relative error = 3.4473919588978656446260000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.084
Order of pole = 3.518
x[1] = -1.808
y[1] (analytic) = 0.23425435900511236713092757230027
y[1] (numeric) = 0.23425435900511235897878017388725
absolute error = 8.15214739841302e-18
relative error = 3.4800408551778998209279999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 3.518
x[1] = -1.807
y[1] (analytic) = 0.23445290063956406765466682015517
y[1] (numeric) = 0.23445290063956405941862413233882
absolute error = 8.23604268781635e-18
relative error = 3.5128772838165999021149999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.083
Order of pole = 3.518
x[1] = -1.806
y[1] (analytic) = 0.23465166898346081176336974814367
y[1] (numeric) = 0.23465166898346080344285182731481
absolute error = 8.32051792082886e-18
relative error = 3.5459018710049419614960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.4MB, time=5.15
Complex estimate of poles used
Radius of convergence = 2.082
Order of pole = 3.518
x[1] = -1.805
y[1] (analytic) = 0.2348506643338167342840871061114
y[1] (numeric) = 0.23485066433381672587851117698769
absolute error = 8.40557592912371e-18
relative error = 3.5791152445606985272750000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.081
Order of pole = 3.519
x[1] = -1.804
y[1] (analytic) = 0.23504988698801433616270717297039
y[1] (numeric) = 0.23504988698801432767148761679657
absolute error = 8.49121955617382e-18
relative error = 3.6125180339298798589120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.08
Order of pole = 3.519
x[1] = -1.803
y[1] (analytic) = 0.23524933724380464989135009359395
y[1] (numeric) = 0.23524933724380464131389843630192
absolute error = 8.57745165729203e-18
relative error = 3.6461108701881876752270000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.079
Order of pole = 3.519
x[1] = -1.802
y[1] (analytic) = 0.23544901539930740317630139734282
y[1] (numeric) = 0.23544901539930739451202629767155
absolute error = 8.66427509967127e-18
relative error = 3.6798943860424216629079999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.078
Order of pole = 3.519
x[1] = -1.801
y[1] (analytic) = 0.2356489217530111808343904151215
y[1] (numeric) = 0.23564892175301117208269765269666
absolute error = 8.75169276242484e-18
relative error = 3.7138692158318813448840000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.077
Order of pole = 3.519
x[1] = -1.8
y[1] (analytic) = 0.23584905660377358490566037735849
y[1] (numeric) = 0.23584905660377357606595284073176
absolute error = 8.83970753662673e-18
relative error = 3.7480359955297335200000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 3.519
x[1] = -1.799
y[1] (analytic) = 0.23604942025082139297011779574219
y[1] (numeric) = 0.23604942025082138404179547039015
absolute error = 8.92832232535204e-18
relative error = 3.7823953627443707608040000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.076
Order of pole = 3.519
x[1] = -1.798
y[1] (analytic) = 0.23625001299375071465628930609591
y[1] (numeric) = 0.23625001299375070563874926237851
absolute error = 9.01754004371740e-18
relative error = 3.8169479567207185589600000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.075
Order of pole = 3.52
x[1] = -1.797
y[1] (analytic) = 0.23645083513252714632925447761035
y[1] (numeric) = 0.23645083513252713722189085868881
absolute error = 9.10736361892154e-18
relative error = 3.8516944183415547261860000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.074
Order of pole = 3.52
x[1] = -1.796
y[1] (analytic) = 0.23665188696748592394576317393724
y[1] (numeric) = 0.23665188696748591474796718365138
absolute error = 9.19779599028586e-18
relative error = 3.8866353901287774589760000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.073
Order of pole = 3.52
x[1] = -1.795
y[1] (analytic) = 0.23685316879933207406398588355114
y[1] (numeric) = 0.23685316879933206477514577425602
absolute error = 9.28884010929512e-18
relative error = 3.9217715162446729018000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.072
Order of pole = 3.52
x[1] = -1.794
y[1] (analytic) = 0.23705468092914056299538501947167
y[1] (numeric) = 0.23705468092914055361488607983355
absolute error = 9.38049893963812e-18
relative error = 3.9571034424931272380320000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.071
Order of pole = 3.52
x[1] = -1.793
y[1] (analytic) = 0.23725642365835644408613452107062
y[1] (numeric) = 0.2372564236583564346133590638221
absolute error = 9.47277545724852e-18
relative error = 3.9926318163208467273480000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 3.52
x[1] = -1.792
y[1] (analytic) = 0.23745839728879500311545417242899
y[1] (numeric) = 0.23745839728879499354978152208329
absolute error = 9.56567265034570e-18
relative error = 4.0283572868185433964800000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.07
Order of pole = 3.521
x[1] = -1.791
y[1] (analytic) = 0.23766060212264190179816388172012
y[1] (numeric) = 0.23766060212264189213897036224451
absolute error = 9.65919351947561e-18
relative error = 4.0642805047220654160410000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.069
Order of pole = 3.521
x[1] = -1.79
y[1] (analytic) = 0.23786303846245331937870174353607
y[1] (numeric) = 0.23786303846245330962536066598425
absolute error = 9.75334107755182e-18
relative error = 4.1004021224135606462000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.068
Order of pole = 3.521
x[1] = -1.789
y[1] (analytic) = 0.23806570661115609230378803010388
y[1] (numeric) = 0.23806570661115608245566968020738
absolute error = 9.84811834989650e-18
relative error = 4.1367227939225596076500000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.067
Order of pole = 3.521
x[1] = -1.788
y[1] (analytic) = 0.2382686068720478519608553271142
y[1] (numeric) = 0.23826860687204784201732695283264
absolute error = 9.94352837428156e-18
relative error = 4.1732431749270747552640000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.066
Order of pole = 3.521
x[1] = -1.787
y[1] (analytic) = 0.23847173954879716046930284456245
y[1] (numeric) = 0.23847173954879715042972864359269
absolute error = 1.003957420096976e-17
relative error = 4.2099639227546361521440000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.065
Order of pole = 3.522
x[1] = -1.786
y[1] (analytic) = 0.23867510494544364451157049173755
y[1] (numeric) = 0.23867510494544363437531159898161
absolute error = 1.013625889275594e-17
relative error = 4.2468856963833266388239999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.064
Order of pole = 3.522
x[1] = -1.785
y[1] (analytic) = 0.23887870336639812719096560743868
y[1] (numeric) = 0.23887870336639811695738008243039
absolute error = 1.023358552500829e-17
relative error = 4.2840091564427828805250000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 3.522
x[1] = -1.784
y[1] (analytic) = 0.23908253511644275790311228080913
y[1] (numeric) = 0.23908253511644274757155509509941
absolute error = 1.033155718570972e-17
relative error = 4.3213349652151874616320000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.063
Order of pole = 3.522
x[1] = -1.783
y[1] (analytic) = 0.2392866005007311402078299839989
y[1] (numeric) = 0.23928660050073112977765300849974
absolute error = 1.043017697549916e-17
relative error = 4.3588637866361809065240000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.4MB, time=5.75
Complex estimate of poles used
Radius of convergence = 2.062
Order of pole = 3.523
x[1] = -1.782
y[1] (analytic) = 0.23949089982478845768818476435532
y[1] (numeric) = 0.23949089982478844715873675664224
absolute error = 1.052944800771308e-17
relative error = 4.3965962862958150653920000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.061
Order of pole = 3.523
x[1] = -1.781
y[1] (analytic) = 0.23969543339451159778339251014091
y[1] (numeric) = 0.23969543339451158715401910171398
absolute error = 1.062937340842693e-17
relative error = 4.4345331314394223309730000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.06
Order of pole = 3.523
x[1] = -1.78
y[1] (analytic) = 0.23990020151616927358218980903944
y[1] (numeric) = 0.2399002015161692628522334925427
absolute error = 1.072995631649674e-17
relative error = 4.4726749909685011016000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.059
Order of pole = 3.523
x[1] = -1.779
y[1] (analytic) = 0.24010520449640214356322366207978
y[1] (numeric) = 0.24010520449640213273202377847909
absolute error = 1.083119988360069e-17
relative error = 4.5110225354415381340289999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.058
Order of pole = 3.524
x[1] = -1.778
y[1] (analytic) = 0.24031044264222292926894679622924
y[1] (numeric) = 0.24031044264222291833583952194847
absolute error = 1.093310727428077e-17
relative error = 4.5495764370748179708680000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 3.524
x[1] = -1.777
y[1] (analytic) = 0.24051591626101653089944053592719
y[1] (numeric) = 0.24051591626101651986375886994267
absolute error = 1.103568166598452e-17
relative error = 4.5883373697432152355079999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.057
Order of pole = 3.524
x[1] = -1.776
y[1] (analytic) = 0.24072162566054014081252214638956
y[1] (numeric) = 0.24072162566054012967359589728283
absolute error = 1.113892624910673e-17
relative error = 4.6273060089809199204480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.056
Order of pole = 3.524
x[1] = -1.775
y[1] (analytic) = 0.24092757114892335491642824875772
y[1] (numeric) = 0.24092757114892334367358402172637
absolute error = 1.124284422703135e-17
relative error = 4.6664830319821997093749999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.055
Order of pole = 3.525
x[1] = -1.774
y[1] (analytic) = 0.24113375303466828194130032823126
y[1] (numeric) = 0.24113375303466827059386151205803
absolute error = 1.134743881617323e-17
relative error = 4.7058691176020413975480000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.054
Order of pole = 3.525
x[1] = -1.773
y[1] (analytic) = 0.2413401716266496505756325103553
y[1] (numeric) = 0.24134017162664963912291926433514
absolute error = 1.145271324602016e-17
relative error = 4.7454649463568667544640000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.053
Order of pole = 3.525
x[1] = -1.772
y[1] (analytic) = 0.24154682723411491445377566676586
y[1] (numeric) = 0.24154682723411490289510490759115
absolute error = 1.155867075917471e-17
relative error = 4.7852712004251152604640000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.052
Order of pole = 3.526
x[1] = -1.771
y[1] (analytic) = 0.24175372016668435498052552907197
y[1] (numeric) = 0.24175372016668434331521091767567
absolute error = 1.166531461139630e-17
relative error = 4.8252885636478722568300000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.051
Order of pole = 3.526
x[1] = -1.77
y[1] (analytic) = 0.24196085073435118197875583730552
y[1] (numeric) = 0.24196085073435117020610776566227
absolute error = 1.177264807164325e-17
relative error = 4.8655177215294387925000000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 3.526
x[1] = -1.769
y[1] (analytic) = 0.24216821924748163214599062663691
y[1] (numeric) = 0.24216821924748162026531620452203
absolute error = 1.188067442211488e-17
relative error = 4.9059593612378722991679999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.05
Order of pole = 3.527
x[1] = -1.768
y[1] (analytic) = 0.24237582601681506530574256197065
y[1] (numeric) = 0.24237582601681505331634560367704
absolute error = 1.198939695829361e-17
relative error = 4.9466141716054775184640000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.049
Order of pole = 3.527
x[1] = -1.767
y[1] (analytic) = 0.24258367135346405843937676373491
y[1] (numeric) = 0.2425836713534640463405577747477
absolute error = 1.209881898898721e-17
relative error = 4.9874828431293096923689999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.048
Order of pole = 3.527
x[1] = -1.766
y[1] (analytic) = 0.24279175556891449748419182879491
y[1] (numeric) = 0.24279175556891448527524799242394
absolute error = 1.220894383637097e-17
relative error = 5.0285660679715950913320000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.047
Order of pole = 3.528
x[1] = -1.765
y[1] (analytic) = 0.24300007897502566688334173708606
y[1] (numeric) = 0.24300007897502565456356690105604
absolute error = 1.231977483603002e-17
relative error = 5.0698645399601639054500000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.046
Order of pole = 3.528
x[1] = -1.764
y[1] (analytic) = 0.2432086418840303368731540464081
y[1] (numeric) = 0.24320864188403032444183870940647
absolute error = 1.243131533700163e-17
relative error = 5.1113789545888254064480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.045
Order of pole = 3.528
x[1] = -1.763
y[1] (analytic) = 0.24341744460853484849333121397878
y[1] (numeric) = 0.24341744460853483594976251216126
absolute error = 1.254356870181752e-17
relative error = 5.1531100090176979320880000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 3.529
x[1] = -1.762
y[1] (analytic) = 0.24362648746151919630545304294355
y[1] (numeric) = 0.24362648746151918364891473639724
absolute error = 1.265653830654631e-17
relative error = 5.1950584020735472063640000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.044
Order of pole = 3.529
x[1] = -1.761
y[1] (analytic) = 0.24383577075633710880512913420501
y[1] (numeric) = 0.24383577075633709603490159336909
absolute error = 1.277022754083592e-17
relative error = 5.2372248342500549066320000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.043
Order of pole = 3.529
x[1] = -1.76
y[1] (analytic) = 0.24404529480671612651308082780164
y[1] (numeric) = 0.2440452948067161136284410198456
absolute error = 1.288463980795604e-17
relative error = 5.2796100077080669504000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.042
Order of pole = 3.53
memory used=41.9MB, alloc=4.4MB, time=6.34
x[1] = -1.759
y[1] (analytic) = 0.24425505992675767773036244275577
y[1] (numeric) = 0.24425505992675766473058391791514
absolute error = 1.299977852484063e-17
relative error = 5.3222146262758051311030000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.041
Order of pole = 3.53
x[1] = -1.758
y[1] (analytic) = 0.24446506643093715194286166895323
y[1] (numeric) = 0.24446506643093713882721454682274
absolute error = 1.311564712213049e-17
relative error = 5.3650393954490585696360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.04
Order of pole = 3.53
x[1] = -1.757
y[1] (analytic) = 0.24467531463410397086014872833675
y[1] (numeric) = 0.24467531463410395762789968412097
absolute error = 1.323224904421578e-17
relative error = 5.4080850223913059433220000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.039
Order of pole = 3.531
x[1] = -1.756
y[1] (analytic) = 0.24488580485148165707367340461796
y[1] (numeric) = 0.24488580485148164372408565533928
absolute error = 1.334958774927868e-17
relative error = 5.4513522159338463812480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 3.531
x[1] = -1.755
y[1] (analytic) = 0.24509653739866790031923823996176
y[1] (numeric) = 0.2450965373986678868515715306258
absolute error = 1.346766670933596e-17
relative error = 5.4948416865758450199000000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.038
Order of pole = 3.532
x[1] = -1.754
y[1] (analytic) = 0.2453075125916346213286051127973
y[1] (numeric) = 0.24530751259163460774211570251557
absolute error = 1.358648941028173e-17
relative error = 5.5385541464844036852680000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.037
Order of pole = 3.532
x[1] = -1.753
y[1] (analytic) = 0.24551873074672803325502104218282
y[1] (numeric) = 0.24551873074672801954896169025273
absolute error = 1.370605935193009e-17
relative error = 5.5824903094945423940810000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.036
Order of pole = 3.532
x[1] = -1.752
y[1] (analytic) = 0.24573019218066870065737741012172
y[1] (numeric) = 0.24573019218066868683099736206387
absolute error = 1.382638004805785e-17
relative error = 5.6266508911091612806400000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.035
Order of pole = 3.533
x[1] = -1.751
y[1] (analytic) = 0.24594189721055159602764485301405
y[1] (numeric) = 0.24594189721055158208018982656672
absolute error = 1.394745502644733e-17
relative error = 5.6710366084989870227330000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.034
Order of pole = 3.533
x[1] = -1.75
y[1] (analytic) = 0.24615384615384615384615384615385
y[1] (numeric) = 0.24615384615384613977686601722473
absolute error = 1.406928782892912e-17
relative error = 5.7156481805024549999999999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 3.534
x[1] = -1.749
y[1] (analytic) = 0.24636603932839632214921848996834
y[1] (numeric) = 0.2463660393283963079573364785435
absolute error = 1.419188201142484e-17
relative error = 5.7604863276255436984840000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.033
Order of pole = 3.534
x[1] = -1.748
y[1] (analytic) = 0.24657847705242061159352820265989
y[1] (numeric) = 0.2465784770524205972782870586698
absolute error = 1.431524114399009e-17
relative error = 5.8055517720416385955360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.032
Order of pole = 3.534
x[1] = -1.747
y[1] (analytic) = 0.24679115964451214200165893017513
y[1] (numeric) = 0.24679115964451212756229011931795
absolute error = 1.443936881085718e-17
relative error = 5.8508452375912591074620000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.031
Order of pole = 3.535
x[1] = -1.746
y[1] (analytic) = 0.24700408742363868637298210010779
y[1] (numeric) = 0.2470040874236386718087134896297
absolute error = 1.456426861047809e-17
relative error = 5.8963674497818315014440000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.03
Order of pole = 3.535
x[1] = -1.745
y[1] (analytic) = 0.24721726070914271234417587035927
y[1] (numeric) = 0.24721726070914269765423171479193
absolute error = 1.468994415556734e-17
relative error = 5.9421191357873779483500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.029
Order of pole = 3.536
x[1] = -1.744
y[1] (analytic) = 0.24743067982074142108346925525345
y[1] (numeric) = 0.24743067982074140626707018210854
absolute error = 1.481639907314491e-17
relative error = 5.9881010244481786981760000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.028
Order of pole = 3.536
x[1] = -1.743
y[1] (analytic) = 0.24764434507852678360267545044649
y[1] (numeric) = 0.24764434507852676865903844586729
absolute error = 1.494363700457920e-17
relative error = 6.0343138462704033980800000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 3.537
x[1] = -1.742
y[1] (analytic) = 0.24785825680296557447099612250543
y[1] (numeric) = 0.24785825680296555939933451687548
absolute error = 1.507166160562995e-17
relative error = 6.0807583334256793591800000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.027
Order of pole = 3.537
x[1] = -1.741
y[1] (analytic) = 0.24807241531489940291450357856863
y[1] (numeric) = 0.24807241531489938771402703207738
absolute error = 1.520047654649125e-17
relative error = 6.1274352197506494541249999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.026
Order of pole = 3.537
x[1] = -1.74
y[1] (analytic) = 0.24828682093554474128513258516238
y[1] (numeric) = 0.2482868209355447259550470733279
absolute error = 1.533008551183448e-17
relative error = 6.1743452407464551648000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.025
Order of pole = 3.538
x[1] = -1.739
y[1] (analytic) = 0.24850147398649295088293816214771
y[1] (numeric) = 0.24850147398649293542244596129633
absolute error = 1.546049220085138e-17
relative error = 6.2214891335782256136980000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.024
Order of pole = 3.538
x[1] = -1.738
y[1] (analytic) = 0.24871637478971030511529993702501
y[1] (numeric) = 0.24871637478971028952359960972802
absolute error = 1.559170032729699e-17
relative error = 6.2688676370744679061560000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.023
Order of pole = 3.539
x[1] = -1.737
y[1] (analytic) = 0.24893152366753800997667760554759
y[1] (numeric) = 0.24893152366753799425296398601485
absolute error = 1.572371361953274e-17
relative error = 6.3164814917264717613060000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 3.539
x[1] = -1.736
y[1] (analytic) = 0.24914692094269222183244570590299
y[1] (numeric) = 0.24914692094269220597590988533358
memory used=45.7MB, alloc=4.4MB, time=6.92
absolute error = 1.585653582056941e-17
relative error = 6.3643314396876158639360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.022
Order of pole = 3.54
x[1] = -1.735
y[1] (analytic) = 0.24936256693826406249025927472897
y[1] (numeric) = 0.24936256693826404650008858661873
absolute error = 1.599017068811024e-17
relative error = 6.4124182247726887204000000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.021
Order of pole = 3.54
x[1] = -1.734
y[1] (analytic) = 0.24957846197771963154232501305295
y[1] (numeric) = 0.24957846197771961541770301845897
absolute error = 1.612462199459398e-17
relative error = 6.4607425924571396928880000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.02
Order of pole = 3.541
x[1] = -1.733
y[1] (analytic) = 0.24979460638490001596187534799511
y[1] (numeric) = 0.24979460638489999970198182075722
absolute error = 1.625989352723789e-17
relative error = 6.5093052898762645420210000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.019
Order of pole = 3.541
x[1] = -1.732
y[1] (analytic) = 0.25001100048402129693706523087016
y[1] (numeric) = 0.25001100048402128054107614278933
absolute error = 1.639598908808083e-17
relative error = 6.5581070658243817773920000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.018
Order of pole = 3.542
x[1] = -1.731
y[1] (analytic) = 0.25022764459967455392543366327516
y[1] (numeric) = 0.25022764459967453739252116924882
absolute error = 1.653291249402634e-17
relative error = 6.6071486707539598148740000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.017
Order of pole = 3.542
x[1] = -1.73
y[1] (analytic) = 0.25044453905682586591199378897543
y[1] (numeric) = 0.25044453905682584924132621208972
absolute error = 1.667066757688571e-17
relative error = 6.6564308567746951459000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 3.543
x[1] = -1.729
y[1] (analytic) = 0.250661684180816309853936930011
y[1] (numeric) = 0.25066168418081629304467874658999
absolute error = 1.680925818342101e-17
relative error = 6.7059543776525297555409999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.016
Order of pole = 3.543
x[1] = -1.728
y[1] (analytic) = 0.25087908029736195629485717955717
y[1] (numeric) = 0.25087908029736193934616900416901
absolute error = 1.694868817538816e-17
relative error = 6.7557199888086399549440000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.015
Order of pole = 3.544
x[1] = -1.727
y[1] (analytic) = 0.25109672773255386213132409079758
y[1] (numeric) = 0.25109672773255384504236266121755
absolute error = 1.708896142958003e-17
relative error = 6.8057284473183927295870000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.014
Order of pole = 3.544
x[1] = -1.726
y[1] (analytic) = 0.25131462681285806051455161952172
y[1] (numeric) = 0.25131462681285804328446978165224
absolute error = 1.723008183786948e-17
relative error = 6.8559805119102339000479999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.013
Order of pole = 3.545
x[1] = -1.725
y[1] (analytic) = 0.2515327778651155478698317874548
y[1] (numeric) = 0.25153277786511553049777848020242
absolute error = 1.737205330725238e-17
relative error = 6.9064769429645243237500000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.012
Order of pole = 3.545
x[1] = -1.724
y[1] (analytic) = 0.25175118121654226801632153258063
y[1] (numeric) = 0.25175118121654225050144177268991
absolute error = 1.751487975989072e-17
relative error = 6.9572185025123680606720000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 3.546
x[1] = -1.723
y[1] (analytic) = 0.25196983719472909336969090104162
y[1] (numeric) = 0.25196983719472907571112576788603
absolute error = 1.765856513315559e-17
relative error = 7.0082059542343451545109999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.011
Order of pole = 3.546
x[1] = -1.722
y[1] (analytic) = 0.25218874612764180321006011170953
y[1] (numeric) = 0.2521887461276417854069467320393
absolute error = 1.780311337967023e-17
relative error = 7.0594400634592288295319999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.01
Order of pole = 3.547
x[1] = -1.721
y[1] (analytic) = 0.25240790834362105899757208832964
y[1] (numeric) = 0.2524079083436210410490436209766
absolute error = 1.794852846735304e-17
relative error = 7.1109215971626435346640000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.009
Order of pole = 3.547
x[1] = -1.72
y[1] (analytic) = 0.2526273241713823767178658043654
y[1] (numeric) = 0.25262732417138235862305142490477
absolute error = 1.809481437946063e-17
relative error = 7.1626513239656957792000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.008
Order of pole = 3.548
x[1] = -1.719
y[1] (analytic) = 0.25284699394001609623963422142469
y[1] (numeric) = 0.25284699394001607799765910679397
absolute error = 1.824197511463072e-17
relative error = 7.2146300141335027001919999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.007
Order of pole = 3.548
x[1] = -1.718
y[1] (analytic) = 0.25306691797898734766636872254857
y[1] (numeric) = 0.25306691797898732927635403562339
absolute error = 1.839001468692518e-17
relative error = 7.2668584395737334974319999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 3.549
x[1] = -1.717
y[1] (analytic) = 0.2532870966181360146643097458036
y[1] (numeric) = 0.25328709661813599612537261993064
absolute error = 1.853893712587296e-17
relative error = 7.3193373738350648773440000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.006
Order of pole = 3.549
x[1] = -1.716
y[1] (analytic) = 0.25350753018767669474854081065624
y[1] (numeric) = 0.25350753018767667605979433414318
absolute error = 1.868874647651306e-17
relative error = 7.3720675921056101207360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.005
Order of pole = 3.55
x[1] = -1.715
y[1] (analytic) = 0.25372821901819865650908029863811
y[1] (numeric) = 0.25372821901819863766963349920074
absolute error = 1.883944679943737e-17
relative error = 7.4250498712112548578250000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.004
Order of pole = 3.55
x[1] = -1.714
y[1] (analytic) = 0.25394916344066579375874219995144
y[1] (numeric) = 0.25394916344066577476770002911781
absolute error = 1.899104217083363e-17
relative error = 7.4782849896139984879480000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.003
Order of pole = 3.551
x[1] = -1.713
y[1] (analytic) = 0.25417036378641657658445356803086
y[1] (numeric) = 0.25417036378641655744091688550259
absolute error = 1.914353668252827e-17
relative error = 7.5317737274102067111630000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=7.51
Complex estimate of poles used
Radius of convergence = 2.002
Order of pole = 3.552
x[1] = -1.712
y[1] (analytic) = 0.25439182038716399928363263378975
y[1] (numeric) = 0.2543918203871639799866981917605
absolute error = 1.929693444202925e-17
relative error = 7.5855168663288228111999999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2.001
Order of pole = 3.552
x[1] = -1.711
y[1] (analytic) = 0.25461353357499552516714741945365
y[1] (numeric) = 0.25461353357499550571590784688478
absolute error = 1.945123957256887e-17
relative error = 7.6395151897295260871269999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 3.553
x[1] = -1.71
y[1] (analytic) = 0.25483550368237302821029025763869
y[1] (numeric) = 0.25483550368237300860383404449213
absolute error = 1.960645621314656e-17
relative error = 7.6937694826008416096000000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 2
Order of pole = 3.553
x[1] = -1.709
y[1] (analytic) = 0.25505773104213273153311886378922
y[1] (numeric) = 0.25505773104213271177053034521757
absolute error = 1.976258851857165e-17
relative error = 7.7482805315582015293650000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.999
Order of pole = 3.554
x[1] = -1.708
y[1] (analytic) = 0.2552802159874851426914295283647
y[1] (numeric) = 0.25528021598748512277178886885865
absolute error = 1.991964065950605e-17
relative error = 7.8030491248419307447199999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.998
Order of pole = 3.554
x[1] = -1.707
y[1] (analytic) = 0.25550295885201498575954258838294
y[1] (numeric) = 0.25550295885201496568192576587601
absolute error = 2.007761682250693e-17
relative error = 7.8580760523151925473570000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.997
Order of pole = 3.555
x[1] = -1.706
y[1] (analytic) = 0.25572595996968113018599460520515
y[1] (numeric) = 0.2557259599696811099494733951357
absolute error = 2.023652121006945e-17
relative error = 7.9133621054619139780200000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.996
Order of pole = 3.555
x[1] = -1.705
y[1] (analytic) = 0.2559492196748165164031456159098
y[1] (numeric) = 0.25594921967481649600678757524056
absolute error = 2.039635804066924e-17
relative error = 7.9689080773845737411000000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 3.556
x[1] = -1.704
y[1] (analytic) = 0.25617273830212807817162343837099
y[1] (numeric) = 0.2561727383021280576144918895659
absolute error = 2.055713154880509e-17
relative error = 8.0247147628020330205439999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.995
Order of pole = 3.557
x[1] = -1.703
y[1] (analytic) = 0.25639651618669666164044029435346
y[1] (numeric) = 0.25639651618669664092159430931207
absolute error = 2.071884598504139e-17
relative error = 8.0807829580472294650509999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.994
Order of pole = 3.557
x[1] = -1.702
y[1] (analytic) = 0.25662055366397694110352996968798
y[1] (numeric) = 0.25662055366397692022202435363733
absolute error = 2.088150561605065e-17
relative error = 8.1371134610648637122600000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.993
Order of pole = 3.558
x[1] = -1.701
y[1] (analytic) = 0.25684485106979733143336635501969
y[1] (numeric) = 0.25684485106979731038825163036375
absolute error = 2.104511472465594e-17
relative error = 8.1937070714090161451939999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.992
Order of pole = 3.558
x[1] = -1.7
y[1] (analytic) = 0.25706940874035989717223650385604
y[1] (numeric) = 0.25706940874035987596255889398279
absolute error = 2.120967760987325e-17
relative error = 8.2505645902406942500000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.991
Order of pole = 3.559
x[1] = -1.699
y[1] (analytic) = 0.25729422701224025826165330580628
y[1] (numeric) = 0.25729422701224023688645471885243
absolute error = 2.137519858695385e-17
relative error = 8.3076868203253420363850000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 3.559
x[1] = -1.698
y[1] (analytic) = 0.25751930622238749239030450112845
y[1] (numeric) = 0.25751930622238747084862251370188
absolute error = 2.154168198742657e-17
relative error = 8.3650745660302806330280000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.99
Order of pole = 3.56
x[1] = -1.697
y[1] (analytic) = 0.25774464670812403394084605711261
y[1] (numeric) = 0.25774464670812401223171389797258
absolute error = 2.170913215914003e-17
relative error = 8.4227286333220920654269999999998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.989
Order of pole = 3.561
x[1] = -1.696
y[1] (analytic) = 0.25797024880714556951575888655913
y[1] (numeric) = 0.25797024880714554763820542025432
absolute error = 2.187755346630481e-17
relative error = 8.4806498297639426360960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.988
Order of pole = 3.561
x[1] = -1.695
y[1] (analytic) = 0.25819611285752093002239851279039
y[1] (numeric) = 0.25819611285752090797544822325481
absolute error = 2.204695028953558e-17
relative error = 8.5388389645128539729500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.987
Order of pole = 3.562
x[1] = -1.694
y[1] (analytic) = 0.2584222391976919792972775733945
y[1] (numeric) = 0.25842223919769195707995054750135
absolute error = 2.221732702589315e-17
relative error = 8.5972968483169065393400000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.986
Order of pole = 3.562
x[1] = -1.693
y[1] (analytic) = 0.25864862816647349924953100537498
y[1] (numeric) = 0.2586486281664734768608429164485
absolute error = 2.238868808892648e-17
relative error = 8.6560242935123914373519999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 3.563
x[1] = -1.692
y[1] (analytic) = 0.25887528010305307150342336670408
y[1] (numeric) = 0.25887528010305304894238545798951
absolute error = 2.256103790871457e-17
relative error = 8.7150221140208798728480000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.985
Order of pole = 3.563
x[1] = -1.691
y[1] (analytic) = 0.25910219534699095551966702258672
y[1] (numeric) = 0.25910219534699093278528609067833
absolute error = 2.273438093190839e-17
relative error = 8.7742911253462724945589999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.984
Order of pole = 3.564
x[1] = -1.69
y[1] (analytic) = 0.25932937423821996317522885817277
y[1] (numeric) = 0.25932937423821994026650723640017
absolute error = 2.290872162177260e-17
relative error = 8.8338321445717322859999999999998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=53.4MB, alloc=4.4MB, time=8.10
Complex estimate of poles used
Radius of convergence = 1.983
Order of pole = 3.565
x[1] = -1.689
y[1] (analytic) = 0.25955681711704532978121177214753
y[1] (numeric) = 0.25955681711704530669714731392019
absolute error = 2.308406445822734e-17
relative error = 8.8936459903566095592140000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.982
Order of pole = 3.565
x[1] = -1.688
y[1] (analytic) = 0.25978452432414458151830545672198
y[1] (numeric) = 0.25978452432414455825789151883211
absolute error = 2.326041393788987e-17
relative error = 8.9537334829332743745279999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.981
Order of pole = 3.566
x[1] = -1.687
y[1] (analytic) = 0.26001249620056739926920887817869
y[1] (numeric) = 0.26001249620056737583143430406256
absolute error = 2.343777457411613e-17
relative error = 9.0140954441038838379969999999998e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 3.566
x[1] = -1.686
y[1] (analytic) = 0.26024073308773547882733443744802
y[1] (numeric) = 0.26024073308773545521118354040578
absolute error = 2.361615089704224e-17
relative error = 9.0747326972370923255039999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.98
Order of pole = 3.567
x[1] = -1.685
y[1] (analytic) = 0.26046923532744238746101101133692
y[1] (numeric) = 0.26046923532744236366546355771098
absolute error = 2.379554745362594e-17
relative error = 9.1356460672647049496500000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.979
Order of pole = 3.568
x[1] = -1.684
y[1] (analytic) = 0.26069800326185341681230995115562
y[1] (numeric) = 0.26069800326185339283634114346768
absolute error = 2.397596880768794e-17
relative error = 9.1968363806782630776640000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.978
Order of pole = 3.568
x[1] = -1.683
y[1] (analytic) = 0.26092703723350543210952464573284
y[1] (numeric) = 0.2609270372335054079521051057797
absolute error = 2.415741953995314e-17
relative error = 9.2583044655255469565459999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.977
Order of pole = 3.569
x[1] = -1.682
y[1] (analytic) = 0.26115633758530671767224043932764
y[1] (numeric) = 0.26115633758530669333233619123583
absolute error = 2.433990424809181e-17
relative error = 9.3200511514070303874439999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 3.569
x[1] = -1.681
y[1] (analytic) = 0.26138590466053681868783753088601
y[1] (numeric) = 0.26138590466053679416440998412532
absolute error = 2.452342754676069e-17
relative error = 9.3820772694722724135090000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.976
Order of pole = 3.57
x[1] = -1.68
y[1] (analytic) = 0.26161573880284637923817496860611
y[1] (numeric) = 0.26161573880284635453018090096212
absolute error = 2.470799406764399e-17
relative error = 9.4443836524162387376000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.975
Order of pole = 3.57
x[1] = -1.679
y[1] (analytic) = 0.26184584035625697655510899202182
y[1] (numeric) = 0.26184584035625695166150053252758
absolute error = 2.489360845949424e-17
relative error = 9.5069711344755341823840000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.974
Order of pole = 3.571
x[1] = -1.678
y[1] (analytic) = 0.26207620966516095148340376194674
y[1] (numeric) = 0.26207620966516092640312837377361
absolute error = 2.508027538817313e-17
relative error = 9.5698405514246001370920000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.973
Order of pole = 3.572
x[1] = -1.677
y[1] (analytic) = 0.26230684707432123512949695579789
y[1] (numeric) = 0.26230684707432120986149741910568
absolute error = 2.526799953669221e-17
relative error = 9.6329927405718276257089999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.972
Order of pole = 3.572
x[1] = -1.676
y[1] (analytic) = 0.26253775292887117167448679120057
y[1] (numeric) = 0.26253775292887114621770118594712
absolute error = 2.545678560525345e-17
relative error = 9.6964285407555864967200000000002e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 3.573
x[1] = -1.675
y[1] (analytic) = 0.26276892757431433732961077352603
y[1] (numeric) = 0.26276892757431431168297246223621
absolute error = 2.564663831128982e-17
relative error = 9.7601487923402321237500000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.971
Order of pole = 3.573
x[1] = -1.674
y[1] (analytic) = 0.26300037135652435541238984229446
y[1] (numeric) = 0.26300037135652432957482745278885
absolute error = 2.583756238950561e-17
relative error = 9.8241543372119832768359999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.97
Order of pole = 3.574
x[1] = -1.673
y[1] (analytic) = 0.26323208462174470752151461635635
y[1] (numeric) = 0.26323208462174468149195202443961
absolute error = 2.602956259191674e-17
relative error = 9.8884460187747669171459999999999e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.969
Order of pole = 3.575
x[1] = -1.672
y[1] (analytic) = 0.26346406771658854078845310761137
y[1] (numeric) = 0.26346406771658851456580941972044
absolute error = 2.622264368789093e-17
relative error = 9.9530246819459807653120000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.968
Order of pole = 3.575
x[1] = -1.671
y[1] (analytic) = 0.26369632098803847118366158690864
y[1] (numeric) = 0.26369632098803844476685112272084
absolute error = 2.641681046418780e-17
relative error = 1.0017891173152200685980000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.967
Order of pole = 3.576
x[1] = -1.67
y[1] (analytic) = 0.26392884478344638285518224286732
y[1] (numeric) = 0.26392884478344635624311451786857
absolute error = 2.661206772499875e-17
relative error = 1.0083046340324776387500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 3.576
x[1] = -1.669
y[1] (analytic) = 0.26416163945053322347731287383825
y[1] (numeric) = 0.26416163945053319666889258185141
absolute error = 2.680842029198684e-17
relative error = 1.0148491032895399401724000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.966
Order of pole = 3.577
x[1] = -1.668
y[1] (analytic) = 0.26439470533738879558693509427258
y[1] (numeric) = 0.26439470533738876858106208994612
absolute error = 2.700587300432646e-17
relative error = 1.0214226101791564084704000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.965
Order of pole = 3.577
x[1] = -1.667
y[1] (analytic) = 0.26462804279247154388498841855371
y[1] (numeric) = 0.26462804279247151668055769981079
absolute error = 2.720443071874292e-17
relative error = 1.0280252399431971421588000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.964
Order of pole = 3.578
memory used=57.2MB, alloc=4.4MB, time=8.69
x[1] = -1.666
y[1] (analytic) = 0.26486165216460833848047810706556
y[1] (numeric) = 0.26486165216460831107637979751362
absolute error = 2.740409830955194e-17
relative error = 1.0346570779721868437864000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.963
Order of pole = 3.579
x[1] = -1.665
y[1] (analytic) = 0.26509553380299425405430482009954
y[1] (numeric) = 0.26509553380299422644942415140062
absolute error = 2.760488066869892e-17
relative error = 1.0413182098048278349700000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.962
Order of pole = 3.579
x[1] = -1.664
y[1] (analytic) = 0.26532968805719234492010392433222
y[1] (numeric) = 0.26532968805719231711332121853403
absolute error = 2.780678270579819e-17
relative error = 1.0480087211275197509824000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 3.58
x[1] = -1.663
y[1] (analytic) = 0.26556411527713341595918173322544
y[1] (numeric) = 0.26556411527713338794937238505344
absolute error = 2.800980934817200e-17
relative error = 1.0547286977738668986800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.961
Order of pole = 3.58
x[1] = -1.662
y[1] (analytic) = 0.26579881581311578940653503600511
y[1] (numeric) = 0.26579881581311576119256949511558
absolute error = 2.821396554088953e-17
relative error = 1.0614782257241838890532000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.96
Order of pole = 3.581
x[1] = -1.661
y[1] (analytic) = 0.26603379001580506746483897905809
y[1] (numeric) = 0.26603379001580503904558273225252
absolute error = 2.841925624680557e-17
relative error = 1.0682573911049863998997000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.959
Order of pole = 3.581
x[1] = -1.66
y[1] (analytic) = 0.26626903823623389072318670784961
y[1] (numeric) = 0.26626903823623386209750026125037
absolute error = 2.862568644659924e-17
relative error = 1.0750662801884810574400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.958
Order of pole = 3.582
x[1] = -1.659
y[1] (analytic) = 0.26650456082580169235726215600591
y[1] (numeric) = 0.26650456082580166352400101719344
absolute error = 2.883326113881247e-17
relative error = 1.0819049793920439374407000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.957
Order of pole = 3.583
x[1] = -1.658
y[1] (analytic) = 0.26674035813627444808752498023454
y[1] (numeric) = 0.26674035813627441904553964034627
absolute error = 2.904198533988827e-17
relative error = 1.0887735752776888825228000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 3.583
x[1] = -1.657
y[1] (analytic) = 0.26697643051978442187188388447503
y[1] (numeric) = 0.266976430519784392620019800266
absolute error = 2.925186408420903e-17
relative error = 1.0956721545515346901047000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.956
Order of pole = 3.584
x[1] = -1.656
y[1] (analytic) = 0.26721277832882990730923145329548
y[1] (numeric) = 0.26721277832882987784632902916104
absolute error = 2.946290242413444e-17
relative error = 1.1026008040632558365184000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.955
Order of pole = 3.584
x[1] = -1.655
y[1] (analytic) = 0.26744940191627496473011012229124
y[1] (numeric) = 0.26744940191627493505500469225176
absolute error = 2.967510543003948e-17
relative error = 1.1095596108055336670700000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.954
Order of pole = 3.585
x[1] = -1.654
y[1] (analytic) = 0.26768630163534915395067505131546
y[1] (numeric) = 0.26768630163534912406219686096343
absolute error = 2.988847819035203e-17
relative error = 1.1165486619134912410348000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.953
Order of pole = 3.585
x[1] = -1.653
y[1] (analytic) = 0.26792347783964726266601543399986
y[1] (numeric) = 0.26792347783964723256298962240934
absolute error = 3.010302581159052e-17
relative error = 1.1235680446641276116268000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.952
Order of pole = 3.586
x[1] = -1.652
y[1] (analytic) = 0.26816093088312903045879117342933
y[1] (numeric) = 0.2681609308831290001400377550281
absolute error = 3.031875341840123e-17
relative error = 1.1306178464757370039792000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 3.586
x[1] = -1.651
y[1] (analytic) = 0.26839866112011886839903687824444
y[1] (numeric) = 0.2683986611201188378633707246489
absolute error = 3.053566615359554e-17
relative error = 1.1376981549073241652754000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.951
Order of pole = 3.587
x[1] = -1.65
y[1] (analytic) = 0.26863666890530557421087978509066
y[1] (numeric) = 0.26863666890530554345711060690368
absolute error = 3.075376917818698e-17
relative error = 1.1448090576580103305000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.95
Order of pole = 3.587
x[1] = -1.649
y[1] (analytic) = 0.26887495459374204298181249144642
y[1] (numeric) = 0.26887495459374201200874482001831
absolute error = 3.097306767142811e-17
relative error = 1.1519506425664309814011000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.949
Order of pole = 3.588
x[1] = -1.648
y[1] (analytic) = 0.26911351854084497339005528668125
y[1] (numeric) = 0.26911351854084494219648845583414
absolute error = 3.119356683084711e-17
relative error = 1.1591229976101209943744000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.948
Order of pole = 3.589
x[1] = -1.647
y[1] (analytic) = 0.26935236110239456942543639796165
y[1] (numeric) = 0.26935236110239453801016452567724
absolute error = 3.141527187228441e-17
relative error = 1.1663262109048995112569000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.947
Order of pole = 3.589
x[1] = -1.646
y[1] (analytic) = 0.2695914826345342375791116205791
y[1] (numeric) = 0.26959148263453420594092359065018
absolute error = 3.163818802992892e-17
relative error = 1.1735603707042382181872000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 3.59
x[1] = -1.645
y[1] (analytic) = 0.26983088349377027947733757867257
y[1] (numeric) = 0.26983088349377024761501702231838
absolute error = 3.186232055635419e-17
relative error = 1.1808255653986253699475000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.946
Order of pole = 3.59
x[1] = -1.644
y[1] (analytic) = 0.2700705640369715799344052614067
y[1] (numeric) = 0.2700705640369715478467305388524
absolute error = 3.208767472255430e-17
relative error = 1.1881218835149181856480000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.945
Order of pole = 3.591
x[1] = -1.643
y[1] (analytic) = 0.27031052462136929039973250070483
y[1] (numeric) = 0.27031052462136925808547668272519
memory used=61.0MB, alloc=4.4MB, time=9.29
absolute error = 3.231425581797964e-17
relative error = 1.1954494137156896121836000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.944
Order of pole = 3.591
x[1] = -1.642
y[1] (analytic) = 0.27055076560455650777400569888133
y[1] (numeric) = 0.27055076560455647523193654830887
absolute error = 3.254206915057246e-17
relative error = 1.2028082447985650604344000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.943
Order of pole = 3.592
x[1] = -1.641
y[1] (analytic) = 0.27079128734448794856915237723609
y[1] (numeric) = 0.27079128734448791579803233043398
absolute error = 3.277112004680211e-17
relative error = 1.2101984656955462277891000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 3.592
x[1] = -1.64
y[1] (analytic) = 0.2710320901994796183868169991327
y[1] (numeric) = 0.27103209019947958538540314743241
absolute error = 3.300141385170029e-17
relative error = 1.2176201654723338998400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.942
Order of pole = 3.593
x[1] = -1.639
y[1] (analytic) = 0.27127317452820847668990302255284
y[1] (numeric) = 0.27127317452820844345694709365698
absolute error = 3.323295592889586e-17
relative error = 1.2250734333276331553106000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.941
Order of pole = 3.593
x[1] = -1.638
y[1] (analytic) = 0.27151454068971209684163425688099
y[1] (numeric) = 0.27151454068971206337588259623137
absolute error = 3.346575166064962e-17
relative error = 1.2325583585924561904328000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.94
Order of pole = 3.594
x[1] = -1.637
y[1] (analytic) = 0.27175618904338832138647833600424
y[1] (numeric) = 0.27175618904338828768667188811549
absolute error = 3.369980644788875e-17
relative error = 1.2400750307294113769875000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.939
Order of pole = 3.594
x[1] = -1.636
y[1] (analytic) = 0.27199811994899491254716447399916
y[1] (numeric) = 0.27199811994899487861203876375807
absolute error = 3.393512571024109e-17
relative error = 1.2476235393319852642064000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.938
Order of pole = 3.595
x[1] = -1.635
y[1] (analytic) = 0.2722403337666491979119166400098
y[1] (numeric) = 0.27224033376664916374020175394064
absolute error = 3.417171488606916e-17
relative error = 1.2552039741238139024100000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 3.595
x[1] = -1.634
y[1] (analytic) = 0.27248283085682771128591187469278
y[1] (numeric) = 0.27248283085682767687633244218874
absolute error = 3.440957943250404e-17
relative error = 1.2628164249579479662224000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.937
Order of pole = 3.596
x[1] = -1.633
y[1] (analytic) = 0.27272561158036582868086167111528
y[1] (numeric) = 0.27272561158036579403213684563644
absolute error = 3.464872482547884e-17
relative error = 1.2704609818161018236076000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.936
Order of pole = 3.596
x[1] = -1.632
y[1] (analytic) = 0.27296867629845739941650215754442
y[1] (numeric) = 0.27296867629845736452734559778227
absolute error = 3.488915655976215e-17
relative error = 1.2781377348079009460160000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.935
Order of pole = 3.597
x[1] = -1.631
y[1] (analytic) = 0.27321202537265437230766624746835
y[1] (numeric) = 0.27321202537265433717678609847725
absolute error = 3.513088014899110e-17
relative error = 1.2858467741701141356710000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.934
Order of pole = 3.597
x[1] = -1.63
y[1] (analytic) = 0.27345565916486641691049796275534
y[1] (numeric) = 0.27345565916486638153659683705112
absolute error = 3.537390112570422e-17
relative error = 1.2935881902658776211800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.933
Order of pole = 3.597
x[1] = -1.629
y[1] (analytic) = 0.27369957803736053980125578840395
y[1] (numeric) = 0.27369957803736050418303074702988
absolute error = 3.561822504137407e-17
relative error = 1.3013620735839099848887000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 3.598
x[1] = -1.628
y[1] (analytic) = 0.27394378235276069586103818118861
y[1] (numeric) = 0.273943782352760659997180714749
absolute error = 3.586385746643961e-17
relative error = 1.3091685147377168931024000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.932
Order of pole = 3.598
x[1] = -1.627
y[1] (analytic) = 0.27418827247404739453965022898834
y[1] (numeric) = 0.27418827247404735842884623865004
absolute error = 3.611080399033830e-17
relative error = 1.3170076044647853374070000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.931
Order of pole = 3.599
x[1] = -1.626
y[1] (analytic) = 0.27443304876455730107171594203535
y[1] (numeric) = 0.27443304876455726471264572049739
absolute error = 3.635907022153796e-17
relative error = 1.3248794336257685553296000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.93
Order of pole = 3.599
x[1] = -1.625
y[1] (analytic) = 0.27467811158798283261802575107296
y[1] (numeric) = 0.27467811158798279600936396350459
absolute error = 3.660866178756837e-17
relative error = 1.3327840932036609703125000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.929
Order of pole = 3.6
x[1] = -1.624
y[1] (analytic) = 0.27492346130837174930499348981244
y[1] (numeric) = 0.27492346130837171244540915475983
absolute error = 3.685958433505261e-17
relative error = 1.3407216743029632235136000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.928
Order of pole = 3.6
x[1] = -1.623
y[1] (analytic) = 0.27516909829012674013498144947524
y[1] (numeric) = 0.27516909829012670302313791973717
absolute error = 3.711184352973807e-17
relative error = 1.3486922681488348259103000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 3.601
x[1] = -1.622
y[1] (analytic) = 0.27541502289800500374013601095491
y[1] (numeric) = 0.27541502289800496637469095442763
absolute error = 3.736544505652728e-17
relative error = 1.3566959660862399651552000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.927
Order of pole = 3.601
x[1] = -1.621
y[1] (analytic) = 0.27566123549711782395225988459167
y[1] (numeric) = 0.27566123549711778633186526508327
absolute error = 3.762039461950840e-17
relative error = 1.3647328595790807168440000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.926
Order of pole = 3.601
x[1] = -1.62
y[1] (analytic) = 0.27590773645293014016113011808851
y[1] (numeric) = 0.27590773645293010228443217610309
absolute error = 3.787669794198542e-17
relative error = 1.3728030402093195624800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=9.87
Complex estimate of poles used
Radius of convergence = 1.925
Order of pole = 3.602
x[1] = -1.619
y[1] (analytic) = 0.27615452613126011243355376908124
y[1] (numeric) = 0.27615452613126007429919300257311
absolute error = 3.813436076650813e-17
relative error = 1.3809065996760934653893000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.924
Order of pole = 3.602
x[1] = -1.618
y[1] (analytic) = 0.27640160489827868136533547968393
y[1] (numeric) = 0.27640160489827864297194662478217
absolute error = 3.839338885490176e-17
relative error = 1.3890436297948159514624000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.923
Order of pole = 3.603
x[1] = -1.617
y[1] (analytic) = 0.27664897312050912263821313534857
y[1] (numeric) = 0.27664897312050908398442514705228
absolute error = 3.865378798829629e-17
relative error = 1.3972142224962672820381000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 3.603
x[1] = -1.616
y[1] (analytic) = 0.27689663116482659625369933899236
y[1] (numeric) = 0.2768966311648265573381353718368
absolute error = 3.891556396715556e-17
relative error = 1.4054184698256775009536000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.922
Order of pole = 3.603
x[1] = -1.615
y[1] (analytic) = 0.27714457939845769041564758295284
y[1] (numeric) = 0.27714457939845765123692497164685
absolute error = 3.917872261130599e-17
relative error = 1.4136564639417955576775000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.921
Order of pole = 3.604
x[1] = -1.614
y[1] (analytic) = 0.27739281818897996003324275533177
y[1] (numeric) = 0.27739281818897992058997299536677
absolute error = 3.944326975996500e-17
relative error = 1.4219282971159478514000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.92
Order of pole = 3.604
x[1] = -1.613
y[1] (analytic) = 0.27764134790432145981599597308989
y[1] (numeric) = 0.27764134790432142010678470132072
absolute error = 3.970921127176917e-17
relative error = 1.4302340617310877166173000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.919
Order of pole = 3.604
x[1] = -1.612
y[1] (analytic) = 0.27789016891276027193220369127069
y[1] (numeric) = 0.27789016891276023195565066646864
absolute error = 3.997655302480205e-17
relative error = 1.4385738502808326821520000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.918
Order of pole = 3.605
x[1] = -1.611
y[1] (analytic) = 0.27813928158292402820221059538216
y[1] (numeric) = 0.27813928158292398795690967876052
absolute error = 4.024530091662164e-17
relative error = 1.4469477553684903134644000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 3.605
x[1] = -1.61
y[1] (analytic) = 0.27838868628378942679769494167757
y[1] (numeric) = 0.27838868628378938628223407739001
absolute error = 4.051546086428756e-17
relative error = 1.4553558697060734427600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.917
Order of pole = 3.605
x[1] = -1.609
y[1] (analytic) = 0.27863838338468174341807376728289
y[1] (numeric) = 0.27863838338468170263103496289503
absolute error = 4.078703880438786e-17
relative error = 1.4637982861133030738466000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.916
Order of pole = 3.606
x[1] = -1.608
y[1] (analytic) = 0.27888837325527433691500374825974
y[1] (numeric) = 0.27888837325527429585496305519415
absolute error = 4.106004069306559e-17
relative error = 1.4722750975166033570176000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.915
Order of pole = 3.606
x[1] = -1.607
y[1] (analytic) = 0.27913865626558814933583143821447
y[1] (numeric) = 0.2791386562655881080013589321696
absolute error = 4.133447250604487e-17
relative error = 1.4807863969480793848663000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.914
Order of pole = 3.606
x[1] = -1.606
y[1] (analytic) = 0.27938923278599120035672417242115
y[1] (numeric) = 0.27938923278599115874638393376435
absolute error = 4.161034023865680e-17
relative error = 1.4893322775444901020480000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.913
Order of pole = 3.607
x[1] = -1.605
y[1] (analytic) = 0.27964010318719807607609007207724
y[1] (numeric) = 0.27964010318719803418844016621237
absolute error = 4.188764990586487e-17
relative error = 1.4979128325462042174175000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 3.607
x[1] = -1.604
y[1] (analytic) = 0.27989126784026941213877232972535
y[1] (numeric) = 0.27989126784026936997236478743528
absolute error = 4.216640754229007e-17
relative error = 1.5065281552961463873712000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.912
Order of pole = 3.607
x[1] = -1.603
y[1] (analytic) = 0.28014272711661137116137929952552
y[1] (numeric) = 0.28014272711661132871476009728981
absolute error = 4.244661920223571e-17
relative error = 1.5151783392387341053739000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.911
Order of pole = 3.608
x[1] = -1.602
y[1] (analytic) = 0.28039448138797511442898785443264
y[1] (numeric) = 0.28039448138797507170069689472087
absolute error = 4.272829095971177e-17
relative error = 1.5238634779187989537508000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.91
Order of pole = 3.608
x[1] = -1.601
y[1] (analytic) = 0.28064653102645626783333300591238
y[1] (numeric) = 0.28064653102645622482190409745344
absolute error = 4.301142890845894e-17
relative error = 1.5325836649804980346694000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.909
Order of pole = 3.608
x[1] = -1.6
y[1] (analytic) = 0.28089887640449438202247191011236
y[1] (numeric) = 0.28089887640449433872643274814009
absolute error = 4.329603916197227e-17
relative error = 1.5413389941662128120000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.908
Order of pole = 3.609
x[1] = -1.599
y[1] (analytic) = 0.28115151789487238673178510689802
y[1] (numeric) = 0.28115151789487234314965725337356
absolute error = 4.358212785352446e-17
relative error = 1.5501295593154365285246000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.907
Order of pole = 3.609
x[1] = -1.598
y[1] (analytic) = 0.28140445587071603926605215437623
y[1] (numeric) = 0.28140445587071599539635101818747
absolute error = 4.386970113618876e-17
relative error = 1.5589554543636492229104000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 3.609
x[1] = -1.597
y[1] (analytic) = 0.28165769070549336710221273098395
y[1] (numeric) = 0.28165769070549332294344754812247
absolute error = 4.415876518286148e-17
relative error = 1.5678167733411804434532000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=10.46
Complex estimate of poles used
Radius of convergence = 1.906
Order of pole = 3.609
x[1] = -1.596
y[1] (analytic) = 0.28191122277301410458229777944168
y[1] (numeric) = 0.28191122277301406013297159315759
absolute error = 4.444932618628409e-17
relative error = 1.5767136103720590459344000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.905
Order of pole = 3.61
x[1] = -1.595
y[1] (analytic) = 0.282165052447429123665888361397
y[1] (numeric) = 0.28216505244742907892449800233203
absolute error = 4.474139035906497e-17
relative error = 1.5856460596728523030425000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.904
Order of pole = 3.61
x[1] = -1.594
y[1] (analytic) = 0.28241918010322985871133257795617
y[1] (numeric) = 0.28241918010322981367636864425546
absolute error = 4.503496393370071e-17
relative error = 1.5946142155514908719356000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.903
Order of pole = 3.61
x[1] = -1.593
y[1] (analytic) = 0.28267360611524772525482318907274
y[1] (numeric) = 0.28267360611524767992477002647573
absolute error = 4.533005316259701e-17
relative error = 1.6036181724060814982949000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.902
Order of pole = 3.61
x[1] = -1.592
y[1] (analytic) = 0.28292833085865353275631043349147
y[1] (numeric) = 0.28292833085865348712964611540225
absolute error = 4.562666431808922e-17
relative error = 1.6126580247237089687808000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 3.611
x[1] = -1.591
y[1] (analytic) = 0.2831833547089568912810960102014
y[1] (numeric) = 0.28318335470895684535629231773902
absolute error = 4.592480369246238e-17
relative error = 1.6217338670792224570878000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.901
Order of pole = 3.611
x[1] = -1.59
y[1] (analytic) = 0.28343867804200561208582523171112
y[1] (numeric) = 0.28343867804200556586134763374024
absolute error = 4.622447759797088e-17
relative error = 1.6308457941340106172800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.9
Order of pole = 3.611
x[1] = -1.589
y[1] (analytic) = 0.28369430123398510207746499850635
y[1] (numeric) = 0.28369430123398505555177263164863
absolute error = 4.652569236685772e-17
relative error = 1.6399939006347648124012000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.899
Order of pole = 3.611
x[1] = -1.588
y[1] (analytic) = 0.28395022466141775211372547237959
y[1] (numeric) = 0.28395022466141770528527112100632
absolute error = 4.682845435137327e-17
relative error = 1.6491782814122270538288000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.898
Order of pole = 3.611
x[1] = -1.587
y[1] (analytic) = 0.28420644870116231911325314353648
y[1] (numeric) = 0.28420644870116227198048321974282
absolute error = 4.713276992379366e-17
relative error = 1.6583990313799273447254000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.897
Order of pole = 3.612
x[1] = -1.586
y[1] (analytic) = 0.28446297373041330194379239209466
y[1] (numeric) = 0.28446297373041325450514691565603
absolute error = 4.743864547643863e-17
relative error = 1.6676562455329045414748000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 3.612
x[1] = -1.585
y[1] (analytic) = 0.28471980012670031105638163842009
y[1] (numeric) = 0.28471980012670026331029421673104
absolute error = 4.774608742168905e-17
relative error = 1.6769500189464182363625000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.896
Order of pole = 3.612
x[1] = -1.584
y[1] (analytic) = 0.28497692826788743183351875832133
y[1] (numeric) = 0.28497692826788738377841656631742
absolute error = 4.805510219200391e-17
relative error = 1.6862804467746447240896000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.895
Order of pole = 3.612
x[1] = -1.583
y[1] (analytic) = 0.28523435853217258161909860808485
y[1] (numeric) = 0.28523435853217253325340236814803
absolute error = 4.836569623993682e-17
relative error = 1.6956476242493585793298000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.894
Order of pole = 3.612
x[1] = -1.582
y[1] (analytic) = 0.2854920912980868603977932603311
y[1] (numeric) = 0.28549209129808681171991722217894
absolute error = 4.867787603815216e-17
relative error = 1.7050516466786048648384000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.893
Order of pole = 3.612
x[1] = -1.581
y[1] (analytic) = 0.28575012694449389509141289436018
y[1] (numeric) = 0.28575012694449384609976481491957
absolute error = 4.899164807944061e-17
relative error = 1.7144926094453526057221000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.892
Order of pole = 3.613
x[1] = -1.58
y[1] (analytic) = 0.28600846585058917743965221370553
y[1] (numeric) = 0.28600846585058912813263333697123
absolute error = 4.930701887673430e-17
relative error = 1.7239706080061380652000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 3.613
x[1] = -1.579
y[1] (analytic) = 0.28626710839589939543249377870007
y[1] (numeric) = 0.28626710839589934580849881557861
absolute error = 4.962399496312146e-17
relative error = 1.7334857378896937205186000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.891
Order of pole = 3.613
x[1] = -1.578
y[1] (analytic) = 0.2865260549602817582614057426698
y[1] (numeric) = 0.28652605496028170831882285080925
absolute error = 4.994258289186055e-17
relative error = 1.7430380946955623578620000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.89
Order of pole = 3.613
x[1] = -1.577
y[1] (analytic) = 0.28678530592392331475633716660133
y[1] (numeric) = 0.28678530592392326449354793020739
absolute error = 5.026278923639394e-17
relative error = 1.7526277740926988481026000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.889
Order of pole = 3.613
x[1] = -1.576
y[1] (analytic) = 0.28704486166734026527537935848918
y[1] (numeric) = 0.28704486166734021469075876812817
absolute error = 5.058462059036101e-17
relative error = 1.7622548718180551797376000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.888
Order of pole = 3.613
x[1] = -1.575
y[1] (analytic) = 0.28730472257137726701382653977375
y[1] (numeric) = 0.28730472257137721610574297216291
absolute error = 5.090808356761084e-17
relative error = 1.7719194836751547997500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.887
Order of pole = 3.613
x[1] = -1.574
y[1] (analytic) = 0.28756488901720673269923358205779
y[1] (numeric) = 0.2875648890172066814660487798435
absolute error = 5.123318480221429e-17
relative error = 1.7816217055326494033204000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.886
Order of pole = 3.613
memory used=72.4MB, alloc=4.5MB, time=11.06
x[1] = -1.573
y[1] (analytic) = 0.28782536138632812263893258237778
y[1] (numeric) = 0.2878253613863280710790016339021
absolute error = 5.155993094847568e-17
relative error = 1.7913616333228656081872000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 3.613
x[1] = -1.572
y[1] (analytic) = 0.28808614006056723008633365445335
y[1] (numeric) = 0.28808614006056717819800497350957
absolute error = 5.188832868094378e-17
relative error = 1.8011393630403315403552000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.885
Order of pole = 3.613
x[1] = -1.571
y[1] (analytic) = 0.2883472254220754598921985063037
y[1] (numeric) = 0.28834722542207540767381381188127
absolute error = 5.221838469442243e-17
relative error = 1.8109549907402945855963000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.884
Order of pole = 3.613
x[1] = -1.57
y[1] (analytic) = 0.28860861785332910040693815117319
y[1] (numeric) = 0.28860861785332904785683244719267
absolute error = 5.255010570398052e-17
relative error = 1.8208086125372210374800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.883
Order of pole = 3.614
x[1] = -1.569
y[1] (analytic) = 0.28887031773712858859984845863132
y[1] (numeric) = 0.28887031773712853571635001366986
absolute error = 5.288349844496146e-17
relative error = 1.8307003246032822873106000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.882
Order of pole = 3.614
x[1] = -1.568
y[1] (analytic) = 0.28913232545659776836105919579578
y[1] (numeric) = 0.28913232545659771514248952280372
absolute error = 5.321856967299206e-17
relative error = 1.8406302231668249052544000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.881
Order of pole = 3.614
x[1] = -1.567
y[1] (analytic) = 0.28939464139518314195183373467547
y[1] (numeric) = 0.2893946413951830883965075706845
absolute error = 5.355532616399097e-17
relative error = 1.8505984045108299293433000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.88
Order of pole = 3.614
x[1] = -1.566
y[1] (analytic) = 0.28965726593665311456871771045628
y[1] (numeric) = 0.28965726593665306067494299627992
absolute error = 5.389377471417636e-17
relative error = 1.8606049649713504150416000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 3.614
x[1] = -1.565
y[1] (analytic) = 0.28992019946509723198689560698418
y[1] (numeric) = 0.28992019946509717775297346691094
absolute error = 5.423392214007324e-17
relative error = 1.8706500009359412123900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.879
Order of pole = 3.614
x[1] = -1.564
y[1] (analytic) = 0.29018344236492541124797451957229
y[1] (numeric) = 0.29018344236492535667219924105225
absolute error = 5.457577527852004e-17
relative error = 1.8807336088420679576384000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.878
Order of pole = 3.614
x[1] = -1.563
y[1] (analytic) = 0.29044699502086716435727420142325
y[1] (numeric) = 0.29044699502086710943793321474854
absolute error = 5.491934098667471e-17
relative error = 1.8908558851755043961399000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.877
Order of pole = 3.614
x[1] = -1.562
y[1] (analytic) = 0.29071085781797081495556193827394
y[1] (numeric) = 0.2907108578179707596909357962538
absolute error = 5.526462614202014e-17
relative error = 1.9010169264687112645816000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.876
Order of pole = 3.614
x[1] = -1.561
y[1] (analytic) = 0.29097503114160270793002981621144
y[1] (numeric) = 0.29097503114160265231839217384233
absolute error = 5.561163764236911e-17
relative error = 1.9112168292992041008831000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.875
Order of pole = 3.614
x[1] = -1.56
y[1] (analytic) = 0.2912395153774464119291705498602
y[1] (numeric) = 0.29123951537744635596878814399173
absolute error = 5.596038240586847e-17
relative error = 1.9214556902878997859200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 3.614
x[1] = -1.559
y[1] (analytic) = 0.29150431091150191474606622220033
y[1] (numeric) = 0.29150431091150185843519885119745
absolute error = 5.631086737100288e-17
relative error = 1.9317336060974533078528000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.874
Order of pole = 3.614
x[1] = -1.558
y[1] (analytic) = 0.29176941813008481153446205305302
y[1] (numeric) = 0.29176941813008475487136255645525
absolute error = 5.666309949659777e-17
relative error = 1.9420506734305731937828000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.873
Order of pole = 3.614
x[1] = -1.557
y[1] (analytic) = 0.29203483741982548582185466068618
y[1] (numeric) = 0.29203483741982542880476889886435
absolute error = 5.701708576182183e-17
relative error = 1.9524069890283263955567000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.872
Order of pole = 3.613
x[1] = -1.556
y[1] (analytic) = 0.29230056916766828328368120998405
y[1] (numeric) = 0.29230056916766822591084804379528
absolute error = 5.737283316618877e-17
relative error = 1.9628026496684238384272000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.871
Order of pole = 3.613
x[1] = -1.555
y[1] (analytic) = 0.29256661376087067824255235113845
y[1] (numeric) = 0.29256661376087062051220362158
absolute error = 5.773034872955845e-17
relative error = 1.9732377521634902106125000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.87
Order of pole = 3.613
x[1] = -1.554
y[1] (analytic) = 0.29283297158700243285632794481621
y[1] (numeric) = 0.29283297158700237476668845267881
absolute error = 5.808963949213740e-17
relative error = 1.9837123933593188145840000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.869
Order of pole = 3.613
x[1] = -1.553
y[1] (analytic) = 0.29309964303394474895869024321115
y[1] (numeric) = 0.29309964303394469050797772873248
absolute error = 5.845071251447867e-17
relative error = 1.9942266701331095661403000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 3.613
x[1] = -1.552
y[1] (analytic) = 0.29336662848988941251572445128706
y[1] (numeric) = 0.29336662848988935370214957380603
absolute error = 5.881357487748103e-17
relative error = 2.0047806793916909688512000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.868
Order of pole = 3.613
x[1] = -1.551
y[1] (analytic) = 0.29363392834333793066187142886087
y[1] (numeric) = 0.29363392834333787148363774647342
absolute error = 5.917823368238745e-17
relative error = 2.0153745180697238210745000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.867
Order of pole = 3.613
memory used=76.2MB, alloc=4.5MB, time=11.64
x[1] = -1.55
y[1] (analytic) = 0.29390154298310066127847171197649
y[1] (numeric) = 0.29390154298310060173377566119347
absolute error = 5.954469605078302e-17
relative error = 2.0260082831278922555000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.866
Order of pole = 3.613
x[1] = -1.549
y[1] (analytic) = 0.29416947279829593507797403130728
y[1] (numeric) = 0.29416947279829587516500490671522
absolute error = 5.991296912459206e-17
relative error = 2.0366820715510737335606000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.865
Order of pole = 3.613
x[1] = -1.548
y[1] (analytic) = 0.2944377181783491701567350861407
y[1] (numeric) = 0.29443771817834910987367502006606
absolute error = 6.028306006607464e-17
relative error = 2.0473959803464956413056000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.864
Order of pole = 3.613
x[1] = -1.547
y[1] (analytic) = 0.29470627951299197897919049489731
y[1] (numeric) = 0.29470627951299191832421443707497
absolute error = 6.065497605782234e-17
relative error = 2.0581501065418728448906000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.863
Order of pole = 3.613
x[1] = -1.546
y[1] (analytic) = 0.29497515719226126775602958718817
y[1] (numeric) = 0.29497515719226120672730528443483
absolute error = 6.102872430275334e-17
relative error = 2.0689445471835294198744000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 3.612
x[1] = -1.545
y[1] (analytic) = 0.29524435160649832817885902820322
y[1] (numeric) = 0.29524435160649826677454700409643
absolute error = 6.140431202410679e-17
relative error = 2.0797793993345030039975000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.862
Order of pole = 3.612
x[1] = -1.544
y[1] (analytic) = 0.29551386314634792147369217384726
y[1] (numeric) = 0.2955138631463478596919457084108
absolute error = 6.178174646543646e-17
relative error = 2.0906547600726319270656000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.861
Order of pole = 3.612
x[1] = -1.543
y[1] (analytic) = 0.29578369220275735473545254461231
y[1] (numeric) = 0.29578369220275729257441765400863
absolute error = 6.216103489060368e-17
relative error = 2.1015707264886256092432000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.86
Order of pole = 3.612
x[1] = -1.542
y[1] (analytic) = 0.29605383916697554950553087782332
y[1] (numeric) = 0.2960538391669754869633462940538
absolute error = 6.254218458376952e-17
relative error = 2.1125273956841166895328000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.859
Order of pole = 3.612
x[1] = -1.541
y[1] (analytic) = 0.29632430443055210255428587176092
y[1] (numeric) = 0.29632430443055203962908302237471
absolute error = 6.292520284938621e-17
relative error = 2.1235248647696950454901000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.858
Order of pole = 3.612
x[1] = -1.54
y[1] (analytic) = 0.29659508838533633883022897140823
y[1] (numeric) = 0.29659508838533627552013195922035
absolute error = 6.331009701218788e-17
relative error = 2.1345632308629265620800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.857
Order of pole = 3.611
x[1] = -1.539
y[1] (analytic) = 0.2968661914234763565374833643608
y[1] (numeric) = 0.29686619142347629284060894718028
absolute error = 6.369687441718052e-17
relative error = 2.1456425910863534241092000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 3.611
x[1] = -1.538
y[1] (analytic) = 0.29713761393741806430295675696877
y[1] (numeric) = 0.29713761393741800021741432733767
absolute error = 6.408554242963110e-17
relative error = 2.1567630425654740770840000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.856
Order of pole = 3.611
x[1] = -1.537
y[1] (analytic) = 0.29740935631990421039451648525192
y[1] (numeric) = 0.29740935631990414591840805019592
absolute error = 6.447610843505600e-17
relative error = 2.1679246824267080766400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.855
Order of pole = 3.611
x[1] = -1.536
y[1] (analytic) = 0.2976814189639734039513040827602
y[1] (numeric) = 0.29768141896397333908272424355156
absolute error = 6.486857983920864e-17
relative error = 2.1791276077953422751744000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.854
Order of pole = 3.611
x[1] = -1.535
y[1] (analytic) = 0.29795380226295912818717457858159
y[1] (numeric) = 0.29795380226295906292421051051528
absolute error = 6.526296406806631e-17
relative error = 2.1903719157934585127975000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.853
Order of pole = 3.61
x[1] = -1.534
y[1] (analytic) = 0.29822650661048874552809353337572
y[1] (numeric) = 0.29822650661048867986882496555952
absolute error = 6.565926856781620e-17
relative error = 2.2016577035378429792720000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.852
Order of pole = 3.61
x[1] = -1.533
y[1] (analytic) = 0.29849953240048249464417213990434
y[1] (numeric) = 0.29849953240048242858667133506372
absolute error = 6.605750080484062e-17
relative error = 2.2129850681378770781518000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.851
Order of pole = 3.61
x[1] = -1.532
y[1] (analytic) = 0.29877288002715247933686761732213
y[1] (numeric) = 0.29877288002715241287919935162069
absolute error = 6.645766826570144e-17
relative error = 2.2243541066934109651456000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 3.61
x[1] = -1.531
y[1] (analytic) = 0.2990465498850016492417226157841
y[1] (numeric) = 0.29904654988500158238194415866045
absolute error = 6.685977845712365e-17
relative error = 2.2357649162926165777765000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.85
Order of pole = 3.609
x[1] = -1.53
y[1] (analytic) = 0.29932054236882277230686342003652
y[1] (numeric) = 0.2993205423688227050430245140584
absolute error = 6.726383890597812e-17
relative error = 2.2472175940098230110800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.849
Order of pole = 3.609
x[1] = -1.529
y[1] (analytic) = 0.29959485787369739900732239792129
y[1] (numeric) = 0.29959485787369733133746523865774
absolute error = 6.766985715926355e-17
relative error = 2.2587122369033340699555000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.848
Order of pole = 3.609
x[1] = -1.528
y[1] (analytic) = 0.29986949679499481825509538248954
y[1] (numeric) = 0.299869496794994750177254598402
absolute error = 6.807784078408754e-17
relative error = 2.2702489420132258299136000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.847
Order of pole = 3.609
x[1] = -1.527
y[1] (analytic) = 0.30014445952837100496468950505878
y[1] (numeric) = 0.30014445952837093647689213741202
absolute error = 6.848779736764676e-17
relative error = 2.2818278063591237204804000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.5MB, time=12.23
Complex estimate of poles used
Radius of convergence = 1.846
Order of pole = 3.608
x[1] = -1.526
y[1] (analytic) = 0.30041974646976755923376141144407
y[1] (numeric) = 0.3004197464697674903340268942377
absolute error = 6.889973451720637e-17
relative error = 2.2934489269379643086612000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.845
Order of pole = 3.608
x[1] = -1.525
y[1] (analytic) = 0.30069535801541063709828979515129
y[1] (numeric) = 0.30069535801541056778462993507287
absolute error = 6.931365986007842e-17
relative error = 2.3051124007217329551250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 3.608
x[1] = -1.524
y[1] (analytic) = 0.30097129456180987282156976996162
y[1] (numeric) = 0.30097129456180980309198872636214
absolute error = 6.972958104359948e-17
relative error = 2.3168183246551858586048000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.844
Order of pole = 3.608
x[1] = -1.523
y[1] (analytic) = 0.30124755650575729267615978049898
y[1] (numeric) = 0.30124755650575722252865404539162
absolute error = 7.014750573510736e-17
relative error = 2.3285667956535519963344000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.843
Order of pole = 3.607
x[1] = -1.522
y[1] (analytic) = 0.30152414424432622017775451351492
y[1] (numeric) = 0.30152414424432614961031289159805
absolute error = 7.056744162191687e-17
relative error = 2.3403579106002134868508000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.842
Order of pole = 3.607
x[1] = -1.521
y[1] (analytic) = 0.30180105817487017272979962522345
y[1] (numeric) = 0.30180105817487010174040321392873
absolute error = 7.098939641129472e-17
relative error = 2.3521917663443678833152000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.841
Order of pole = 3.607
x[1] = -1.52
y[1] (analytic) = 0.30207829869502174963750604156597
y[1] (numeric) = 0.30207829869502167822412821113246
absolute error = 7.141337783043351e-17
relative error = 2.3640684596986709150400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.84
Order of pole = 3.606
x[1] = -1.519
y[1] (analytic) = 0.30235586620269151144976311929662
y[1] (numeric) = 0.30235586620269143961036949287186
absolute error = 7.183939362642476e-17
relative error = 2.3759880874368582065836000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.839
Order of pole = 3.606
x[1] = -1.518
y[1] (analytic) = 0.30263376109606685058729107678303
y[1] (numeric) = 0.30263376109606677831983951055203
absolute error = 7.226745156623100e-17
relative error = 2.3879507462913468284400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 3.606
x[1] = -1.517
y[1] (analytic) = 0.30291198377361085321521381496743
y[1] (numeric) = 0.30291198377361078051765437831049
absolute error = 7.269755943665694e-17
relative error = 2.3999565329508175279566000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.838
Order of pole = 3.605
x[1] = -1.516
y[1] (analytic) = 0.30319053463406115231807355159818
y[1] (numeric) = 0.30319053463406107918834850727851
absolute error = 7.312972504431967e-17
relative error = 2.4120055440577761749552000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.837
Order of pole = 3.605
x[1] = -1.515
y[1] (analytic) = 0.30346941407642877193514858621187
y[1] (numeric) = 0.30346941407642869837119237059396
absolute error = 7.356395621561791e-17
relative error = 2.4240978762060952747975000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.836
Order of pole = 3.605
x[1] = -1.514
y[1] (analytic) = 0.30374862249999696251377500003037
y[1] (numeric) = 0.30374862249999688851351420333013
absolute error = 7.400026079670024e-17
relative error = 2.4362336259385334332704000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.835
Order of pole = 3.604
x[1] = -1.513
y[1] (analytic) = 0.30402816030432002733821217456446
y[1] (numeric) = 0.30402816030431995289956552113202
absolute error = 7.443864665343244e-17
relative error = 2.4484128897442372524236000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.834
Order of pole = 3.604
x[1] = -1.512
y[1] (analytic) = 0.30430802788922213999143068593464
y[1] (numeric) = 0.30430802788922206511230901457098
absolute error = 7.487912167136366e-17
relative error = 2.4606357640562166312704000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.833
Order of pole = 3.603
x[1] = -1.511
y[1] (analytic) = 0.30458822565479615280703939940075
y[1] (numeric) = 0.30458822565479607748534564370892
absolute error = 7.532169375569183e-17
relative error = 2.4729023452488071660143000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.832
Order of pole = 3.603
x[1] = -1.51
y[1] (analytic) = 0.30486875400140239626840645102283
y[1] (numeric) = 0.30486875400140232050203561979498
absolute error = 7.576637083122785e-17
relative error = 2.4852127296351047078500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 3.603
x[1] = -1.509
y[1] (analytic) = 0.30514961332966746931186626146867
y[1] (numeric) = 0.30514961332966739309870541910983
absolute error = 7.621316084235884e-17
relative error = 2.4975670134643814974604000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.831
Order of pole = 3.602
x[1] = -1.508
y[1] (analytic) = 0.30543080404048302049074178146792
y[1] (numeric) = 0.30543080404048294382867002845757
absolute error = 7.666207175301035e-17
relative error = 2.5099652929194807856240000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.83
Order of pole = 3.602
x[1] = -1.507
y[1] (analytic) = 0.30571232653500451995674782004183
y[1] (numeric) = 0.30571232653500444284363627343426
absolute error = 7.711311154660757e-17
relative error = 2.5224076641141914524093000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.829
Order of pole = 3.602
x[1] = -1.506
y[1] (analytic) = 0.30599418121465002221517755618359
y[1] (numeric) = 0.30599418121464994464888933014822
absolute error = 7.756628822603537e-17
relative error = 2.5348942230905972643332000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.828
Order of pole = 3.601
x[1] = -1.505
y[1] (analytic) = 0.30627636848109891961011018292356
y[1] (numeric) = 0.30627636848109884158850036932613
absolute error = 7.802160981359743e-17
relative error = 2.5474250658164094888575000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.827
Order of pole = 3.601
x[1] = -1.504
y[1] (analytic) = 0.30655888873629068649571308049991
y[1] (numeric) = 0.30655888873629060801662872952577
absolute error = 7.847908435097414e-17
relative error = 2.5600002881822726026624000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=83.9MB, alloc=4.5MB, time=12.83
Complex estimate of poles used
Radius of convergence = 1.826
Order of pole = 3.6
x[1] = -1.503
y[1] (analytic) = 0.30684174238242361404954696350946
y[1] (numeric) = 0.30684174238242353511082706432989
absolute error = 7.893871989917957e-17
relative error = 2.5726199859990531124613000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 3.6
x[1] = -1.502
y[1] (analytic) = 0.30712492982195353568361709629349
y[1] (numeric) = 0.3071249298219534562830925577763
absolute error = 7.940052453851719e-17
relative error = 2.5852842549951012470876000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.825
Order of pole = 3.6
x[1] = -1.501
y[1] (analytic) = 0.30740845145759254300874792230313
y[1] (numeric) = 0.30740845145759246314424155376847
absolute error = 7.986450636853466e-17
relative error = 2.5979931908134961751466000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.824
Order of pole = 3.599
x[1] = -1.5
y[1] (analytic) = 0.30769230769230769230769230769231
y[1] (numeric) = 0.307692307692307611977018799715
absolute error = 8.033067350797731e-17
relative error = 2.6107468890092625750000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.823
Order of pole = 3.599
x[1] = -1.499
y[1] (analytic) = 0.30797649892931970147222005783183
y[1] (numeric) = 0.30797649892931962067318596309115
absolute error = 8.079903409474068e-17
relative error = 2.6235454450465708270068000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.822
Order of pole = 3.598
x[1] = -1.498
y[1] (analytic) = 0.30826102557210163735926342877506
y[1] (numeric) = 0.30826102557210155608966714295326
absolute error = 8.126959628582180e-17
relative error = 2.6363889542959106248720000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.821
Order of pole = 3.598
x[1] = -1.497
y[1] (analytic) = 0.30854588802437759352103002490891
y[1] (numeric) = 0.30854588802437751177866176763955
absolute error = 8.174236825726936e-17
relative error = 2.6492775120312431118424000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.82
Order of pole = 3.597
x[1] = -1.496
y[1] (analytic) = 0.30883108669012135826382575008894
y[1] (numeric) = 0.3088310866901212760464675459562
absolute error = 8.221735820413274e-17
relative error = 2.6622112134271307824384000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 3.597
x[1] = -1.495
y[1] (analytic) = 0.30911662197355507299016236350569
y[1] (numeric) = 0.30911662197355499029558802309581
absolute error = 8.269457434040988e-17
relative error = 2.6751901535558447204700000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.819
Order of pole = 3.596
x[1] = -1.494
y[1] (analytic) = 0.30940249427914788077855568440451
y[1] (numeric) = 0.3094024942791477976045307854106
absolute error = 8.317402489899391e-17
relative error = 2.6882144273844468090076000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.818
Order of pole = 3.596
x[1] = -1.493
y[1] (analytic) = 0.30968870401161456515525159265158
y[1] (numeric) = 0.30968870401161448149953346103295
absolute error = 8.365571813161863e-17
relative error = 2.7012841297718500558287000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.817
Order of pole = 3.596
x[1] = -1.492
y[1] (analytic) = 0.30997525157591417901194768609674
y[1] (numeric) = 0.30997525157591409487228537729389
absolute error = 8.413966230880285e-17
relative error = 2.7143993554658575748240000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.816
Order of pole = 3.595
x[1] = -1.491
y[1] (analytic) = 0.31026213737724866362340878184569
y[1] (numeric) = 0.3102621373772485789975430620523
absolute error = 8.462586571979339e-17
relative error = 2.7275601991001739923459000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.815
Order of pole = 3.595
x[1] = -1.49
y[1] (analytic) = 0.31054936182106145771870438806248
y[1] (numeric) = 0.31054936182106137260436771555553
absolute error = 8.511433667250695e-17
relative error = 2.7407667551913962969500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.814
Order of pole = 3.594
x[1] = -1.489
y[1] (analytic) = 0.31083692531303609655962582694279
y[1] (numeric) = 0.31083692531303601095454233347205
absolute error = 8.560508349347074e-17
relative error = 2.7540191181359808053954000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.813
Order of pole = 3.594
x[1] = -1.488
y[1] (analytic) = 0.31112482825909480097966985922224
y[1] (numeric) = 0.31112482825909471488155533146045
absolute error = 8.609811452776179e-17
relative error = 2.7673173822071839075776000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 3.593
x[1] = -1.487
y[1] (analytic) = 0.31141307106539705633680444722779
y[1] (numeric) = 0.31141307106539696974336630828266
absolute error = 8.659343813894513e-17
relative error = 2.7806616415519829415697000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.812
Order of pole = 3.593
x[1] = -1.486
y[1] (analytic) = 0.31170165413833818133306069828651
y[1] (numeric) = 0.31170165413833809424199798927594
absolute error = 8.709106270901057e-17
relative error = 2.7940519901879687463172000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.811
Order of pole = 3.592
x[1] = -1.485
y[1] (analytic) = 0.31199057788454788665382305454375
y[1] (numeric) = 0.31199057788454779906282641623545
absolute error = 8.759099663830830e-17
relative error = 2.8074885220002172086750000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.81
Order of pole = 3.592
x[1] = -1.484
y[1] (analytic) = 0.31227984271088882337951744020466
y[1] (numeric) = 0.31227984271088873528626909472152
absolute error = 8.809324834548314e-17
relative error = 2.8209713307381345796384000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.809
Order of pole = 3.591
x[1] = -1.483
y[1] (analytic) = 0.31256944902445512112222434422148
y[1] (numeric) = 0.31256944902445503252439807681401
absolute error = 8.859782626740747e-17
relative error = 2.8345005100122777728883000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.808
Order of pole = 3.591
x[1] = -1.482
y[1] (analytic) = 0.31285939723257091583957070684949
y[1] (numeric) = 0.31285939723257082673483184773654
absolute error = 8.910473885911295e-17
relative error = 2.8480761532911534079580000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.807
Order of pole = 3.59
x[1] = -1.481
y[1] (analytic) = 0.31314968774278886727808099366154
y[1] (numeric) = 0.31314968774278877766408639994074
absolute error = 8.961399459372080e-17
relative error = 2.8616983538979884760880000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.5MB, time=13.42
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 3.59
x[1] = -1.48
y[1] (analytic) = 0.31344032096288866599799398194584
y[1] (numeric) = 0.31344032096288857587239201957509
absolute error = 9.012560196237075e-17
relative error = 2.8753672050074764080000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.806
Order of pole = 3.589
x[1] = -1.479
y[1] (analytic) = 0.31373129730087552993137755334138
y[1] (numeric) = 0.31373129730087543929180807919265
absolute error = 9.063956947414873e-17
relative error = 2.8890827996425010209993000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.805
Order of pole = 3.589
x[1] = -1.478
y[1] (analytic) = 0.31402261716497869042519918454607
y[1] (numeric) = 0.31402261716497859926929352853295
absolute error = 9.115590565601312e-17
relative error = 2.9028452306708328443008000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.804
Order of pole = 3.588
x[1] = -1.477
y[1] (analytic) = 0.31431428096364986772083485644795
y[1] (numeric) = 0.31431428096364977604621580372833
absolute error = 9.167461905271962e-17
relative error = 2.9166545908017999989898000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.803
Order of pole = 3.588
x[1] = -1.476
y[1] (analytic) = 0.31460628910556173582132376259054
y[1] (numeric) = 0.31460628910556164362560553584576
absolute error = 9.219571822674478e-17
relative error = 2.9305109725829351583328000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.802
Order of pole = 3.587
x[1] = -1.475
y[1] (analytic) = 0.31489864199960637669750049202913
y[1] (numeric) = 0.31489864199960628397828873382103
absolute error = 9.271921175820810e-17
relative error = 2.9444144683965959756250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.801
Order of pole = 3.587
x[1] = -1.474
y[1] (analytic) = 0.31519134005489372378396029093421
y[1] (numeric) = 0.31519134005489363053885204614152
absolute error = 9.324510824479269e-17
relative error = 2.9583651704565589253844000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.8
Order of pole = 3.586
x[1] = -1.473
y[1] (analytic) = 0.31548438368074999471563657334744
y[1] (numeric) = 0.31548438368074990094222027168284
absolute error = 9.377341630166460e-17
relative error = 2.9723631708045903089340000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 3.586
x[1] = -1.472
y[1] (analytic) = 0.31577777328671611325559305592045
y[1] (numeric) = 0.31577777328671601895144849452988
absolute error = 9.430414456139057e-17
relative error = 2.9864085613069867482688000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.799
Order of pole = 3.585
x[1] = -1.471
y[1] (analytic) = 0.31607150928254612036445573592352
y[1] (numeric) = 0.31607150928254602552715406206902
absolute error = 9.483730167385450e-17
relative error = 3.0005014336510949513450000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.798
Order of pole = 3.585
x[1] = -1.47
y[1] (analytic) = 0.31636559207820557436173241798222
y[1] (numeric) = 0.31636559207820547898883611180995
absolute error = 9.537289630617227e-17
relative error = 3.0146418793417992824300000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.797
Order of pole = 3.584
x[1] = -1.469
y[1] (analytic) = 0.31666002208386994012908962460271
y[1] (numeric) = 0.31666002208386984421815248199746
absolute error = 9.591093714260525e-17
relative error = 3.0288299896979881789525000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.796
Order of pole = 3.584
x[1] = -1.468
y[1] (analytic) = 0.31695479970992296730547850032203
y[1] (numeric) = 0.3169547997099228708540456158498
absolute error = 9.645143288447223e-17
relative error = 3.0430658558489911298352000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.795
Order of pole = 3.583
x[1] = -1.467
y[1] (analytic) = 0.3172499253669550574238227410457
y[1] (numeric) = 0.31724992536695496042943049098586
absolute error = 9.699439225005984e-17
relative error = 3.0573495687309887100576000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.794
Order of pole = 3.583
x[1] = -1.466
y[1] (analytic) = 0.31754539946576161993880265061496
y[1] (numeric) = 0.31754539946576152239897867608341
absolute error = 9.753982397453155e-17
relative error = 3.0716812190833987787180000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 3.582
x[1] = -1.465
y[1] (analytic) = 0.31784122241734141709509014771671
y[1] (numeric) = 0.3178412224173413190073533378817
absolute error = 9.808773680983501e-17
relative error = 3.0860608974452315433725000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.793
Order of pole = 3.582
x[1] = -1.464
y[1] (analytic) = 0.31813739463289489758520991977847
y[1] (numeric) = 0.31813739463289479894707039517053
absolute error = 9.863813952460794e-17
relative error = 3.1004886941514203937024000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.792
Order of pole = 3.581
x[1] = -1.463
y[1] (analytic) = 0.31843391652382251894602194837613
y[1] (numeric) = 0.31843391652382241975498104429367
absolute error = 9.919104090408246e-17
relative error = 3.1149646993291253082774000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.791
Order of pole = 3.581
x[1] = -1.462
y[1] (analytic) = 0.31873078850172305864264031485502
y[1] (numeric) = 0.31873078850172295889619056486724
absolute error = 9.974644974998778e-17
relative error = 3.1294890028940066043432000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.79
Order of pole = 3.58
x[1] = -1.461
y[1] (analytic) = 0.3190280109783919137884225372872
y[1] (numeric) = 0.31902801097839181348404765683577
absolute error = 1.0030437488045143e-16
relative error = 3.1440616945464749681503000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.789
Order of pole = 3.58
x[1] = -1.46
y[1] (analytic) = 0.31932558436581938944948269255333
y[1] (numeric) = 0.31932558436581928858465756265459
absolute error = 1.0086482512989874e-16
relative error = 3.1586828637679089418400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.788
Order of pole = 3.579
x[1] = -1.459
y[1] (analytic) = 0.31962350907618897548200024227462
y[1] (numeric) = 0.31962350907618887405419089332375
absolute error = 1.0142780934895087e-16
relative error = 3.1733525998168495690247000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 3.579
x[1] = -1.458
y[1] (analytic) = 0.31992178552187561185041481058711
y[1] (numeric) = 0.31992178552187550985707840626599
absolute error = 1.0199333640432112e-16
relative error = 3.1880709917251640133568000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.5MB, time=13.99
Complex estimate of poles used
Radius of convergence = 1.787
Order of pole = 3.578
x[1] = -1.457
y[1] (analytic) = 0.32022041411544394237441515744117
y[1] (numeric) = 0.32022041411544383981299997873157
absolute error = 1.0256141517870960e-16
relative error = 3.2028381282941809565040000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.786
Order of pole = 3.578
x[1] = -1.456
y[1] (analytic) = 0.32051939526964655685244825534883
y[1] (numeric) = 0.32051939526964645372039368465253
absolute error = 1.0313205457069630e-16
relative error = 3.2176540980907993143680000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.785
Order of pole = 3.577
x[1] = -1.455
y[1] (analytic) = 0.32081872939742222150929171245017
y[1] (numeric) = 0.32081872939742211780402821781771
absolute error = 1.0370526349463246e-16
relative error = 3.2325189894435674363150000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.784
Order of pole = 3.577
x[1] = -1.454
y[1] (analytic) = 0.32111841691189409771504979262173
y[1] (numeric) = 0.32111841691189399343399891209142
absolute error = 1.0428105088053031e-16
relative error = 3.2474328904387352685596000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.783
Order of pole = 3.576
x[1] = -1.453
y[1] (analytic) = 0.32141845822636794892274996633142
y[1] (numeric) = 0.32141845822636784406332429238043
absolute error = 1.0485942567395099e-16
relative error = 3.2623958889162738564691000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.782
Order of pole = 3.576
x[1] = -1.452
y[1] (analytic) = 0.32171885375433033577153328631948
y[1] (numeric) = 0.32171885375433023033113645042855
absolute error = 1.0544039683589093e-16
relative error = 3.2774080724658712128272000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.781
Order of pole = 3.575
x[1] = -1.451
y[1] (analytic) = 0.32201960390944679930224792224901
y[1] (numeric) = 0.32201960390944669327827457958258
absolute error = 1.0602397334266643e-16
relative error = 3.2924695284228967438843000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 3.575
x[1] = -1.45
y[1] (analytic) = 0.322320709105560032232070910556
y[1] (numeric) = 0.32232070910555992562190672475955
absolute error = 1.0661016418579645e-16
relative error = 3.3075803438643348612500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.78
Order of pole = 3.574
x[1] = -1.449
y[1] (analytic) = 0.32262216975668803823459858220461
y[1] (numeric) = 0.32262216975668793103562021032086
absolute error = 1.0719897837188375e-16
relative error = 3.3227406056046924338375000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.779
Order of pole = 3.574
x[1] = -1.448
y[1] (analytic) = 0.32292398627702227917166122432108
y[1] (numeric) = 0.3229239862770221713812363018269
absolute error = 1.0779042492249418e-16
relative error = 3.3379504001918741718272000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.778
Order of pole = 3.573
x[1] = -1.447
y[1] (analytic) = 0.32322615908092581022293231417971
y[1] (numeric) = 0.32322615908092570183841944014543
absolute error = 1.0838451287403428e-16
relative error = 3.3532098139030312177252000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.777
Order of pole = 3.573
x[1] = -1.446
y[1] (analytic) = 0.32352868858293140285921713822051
y[1] (numeric) = 0.32352868858293129387796586059356
absolute error = 1.0898125127762695e-16
relative error = 3.3685189327403758178620000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.776
Order of pole = 3.572
x[1] = -1.445
y[1] (analytic) = 0.32383157519773965560511977720388
y[1] (numeric) = 0.32383157519773954602447057821837
absolute error = 1.0958064919898551e-16
relative error = 3.3838778424269722951775000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.775
Order of pole = 3.572
x[1] = -1.444
y[1] (analytic) = 0.3241348193402170925366013037999
y[1] (numeric) = 0.32413481934021698235388558551423
absolute error = 1.1018271571828567e-16
relative error = 3.3992866284024897880112000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 3.571
x[1] = -1.443
y[1] (analytic) = 0.32443842142539424945875560345709
y[1] (numeric) = 0.32443842142539413867129567342115
absolute error = 1.1078745993003594e-16
relative error = 3.4147453758189334602906000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.774
Order of pole = 3.571
x[1] = -1.442
y[1] (analytic) = 0.32474238186846374770894249591799
y[1] (numeric) = 0.32474238186846363631405155297201
absolute error = 1.1139489094294598e-16
relative error = 3.4302541695363390475672000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.773
Order of pole = 3.571
x[1] = -1.441
y[1] (analytic) = 0.32504670108477835553023080591104
y[1] (numeric) = 0.32504670108477824352521292611786
absolute error = 1.1200501787979318e-16
relative error = 3.4458130941184400219958000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.772
Order of pole = 3.57
x[1] = -1.44
y[1] (analytic) = 0.32535137948984903695991671004685
y[1] (numeric) = 0.32535137948984892434206683275955
absolute error = 1.1261784987728730e-16
relative error = 3.4614222338283024528000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.771
Order of pole = 3.57
x[1] = -1.439
y[1] (analytic) = 0.32565641749934298817769507552135
y[1] (numeric) = 0.3256564174993428749442989895881
absolute error = 1.1323339608593325e-16
relative error = 3.4770816726239303537325000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.77
Order of pole = 3.569
x[1] = -1.438
y[1] (analytic) = 0.3259618155290816612578736076541
y[1] (numeric) = 0.32596181552908154740620793776216
absolute error = 1.1385166566989194e-16
relative error = 3.4927914941538396877736000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.769
Order of pole = 3.569
x[1] = -1.437
y[1] (analytic) = 0.32626757399503877526983144038325
y[1] (numeric) = 0.32626757399503866079716363354405
absolute error = 1.1447266780683920e-16
relative error = 3.5085517817526013598480000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 3.568
x[1] = -1.436
y[1] (analytic) = 0.32657369331333831467073533945376
y[1] (numeric) = 0.32657369331333819957432365163107
absolute error = 1.1509641168782269e-16
relative error = 3.5243626184363510775824000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.768
Order of pole = 3.568
x[1] = -1.435
y[1] (analytic) = 0.32688017390025251493433794506779
y[1] (numeric) = 0.32688017390025239921143142795078
absolute error = 1.1572290651711701e-16
relative error = 3.5402240868982728491725000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.767
Order of pole = 3.567
memory used=95.3MB, alloc=4.5MB, time=14.59
x[1] = -1.434
y[1] (analytic) = 0.32718701617219983535949346214904
y[1] (numeric) = 0.32718701617219971900733195007244
absolute error = 1.1635216151207660e-16
relative error = 3.5561362695040438886960000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.766
Order of pole = 3.567
x[1] = -1.433
y[1] (analytic) = 0.32749422054574291900183691508304
y[1] (numeric) = 0.32749422054574280201765101209618
absolute error = 1.1698418590298686e-16
relative error = 3.5720992482872544415454000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.765
Order of pole = 3.566
x[1] = -1.432
y[1] (analytic) = 0.32780178743758653967188352284647
y[1] (numeric) = 0.32780178743758642205289458993336
absolute error = 1.1761898893291311e-16
relative error = 3.5881131049447912328064000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.764
Order of pole = 3.566
x[1] = -1.431
y[1] (analytic) = 0.32810971726457553594261492288929
y[1] (numeric) = 0.3281097172645754176860350653417
absolute error = 1.1825657985754759e-16
relative error = 3.6041779208321910044599000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.763
Order of pole = 3.566
x[1] = -1.43
y[1] (analytic) = 0.32841801044369273210942888107984
y[1] (numeric) = 0.32841801044369261321246093602544
absolute error = 1.1889696794505440e-16
relative error = 3.6202937769589614256000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 3.565
x[1] = -1.429
y[1] (analytic) = 0.32872666739205684604513877360627
y[1] (numeric) = 0.32872666739205672650497629769392
absolute error = 1.1954016247591235e-16
relative error = 3.6364607539838688110635000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.762
Order of pole = 3.565
x[1] = -1.428
y[1] (analytic) = 0.32903568852692038389251851812855
y[1] (numeric) = 0.32903568852692026370634577537273
absolute error = 1.2018617274275582e-16
relative error = 3.6526789322101960405088000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.761
Order of pole = 3.564
x[1] = -1.427
y[1] (analytic) = 0.32934507426566752153669776891766
y[1] (numeric) = 0.32934507426566740070168971870425
absolute error = 1.2083500805021341e-16
relative error = 3.6689483915809643297189000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.76
Order of pole = 3.564
x[1] = -1.426
y[1] (analytic) = 0.3296548250258119727995210774702
y[1] (numeric) = 0.32965482502581185131284336272565
absolute error = 1.2148667771474455e-16
relative error = 3.6852692116741243855580000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.759
Order of pole = 3.564
x[1] = -1.425
y[1] (analytic) = 0.32996494122499484429779335945556
y[1] (numeric) = 0.32996494122499472215660229498159
absolute error = 1.2214119106447397e-16
relative error = 3.7016414716977142533125000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.758
Order of pole = 3.563
x[1] = -1.424
y[1] (analytic) = 0.33027542328098247690714240419371
y[1] (numeric) = 0.33027542328098235410858496516969
absolute error = 1.2279855743902402e-16
relative error = 3.7180652504849839117951999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 3.563
x[1] = -1.423
y[1] (analytic) = 0.3305862716116642737730373175701
y[1] (numeric) = 0.33058627161166415031425112822529
absolute error = 1.2345878618934481e-16
relative error = 3.7345406264894860676849000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.757
Order of pole = 3.562
x[1] = -1.422
y[1] (analytic) = 0.33089748663505051481030970681159
y[1] (numeric) = 0.33089748663505039068842302926936
absolute error = 1.2412188667754223e-16
relative error = 3.7510676777801353260732000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.756
Order of pole = 3.562
x[1] = -1.421
y[1] (analytic) = 0.33120906876927015763233209935875
y[1] (numeric) = 0.33120906876927003284446382265504
absolute error = 1.2478786827670371e-16
relative error = 3.7676464820362318608411000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.755
Order of pole = 3.562
x[1] = -1.42
y[1] (analytic) = 0.33152101843256862485081554170534
y[1] (numeric) = 0.33152101843256849939407517098359
absolute error = 1.2545674037072175e-16
relative error = 3.7842771165424508670000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.754
Order of pole = 3.561
x[1] = -1.419
y[1] (analytic) = 0.33183333604330557768699555111046
y[1] (numeric) = 0.33183333604330545155848319699511
absolute error = 1.2612851235411535e-16
relative error = 3.8009596581838020826135000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.753
Order of pole = 3.561
x[1] = -1.418
y[1] (analytic) = 0.33214602201995267583478259714275
y[1] (numeric) = 0.33214602201995254903158896529374
absolute error = 1.2680319363184901e-16
relative error = 3.8176941834405497878324000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.752
Order of pole = 3.561
x[1] = -1.417
y[1] (analytic) = 0.33245907678109132351626007475675
y[1] (numeric) = 0.33245907678109119603546645560715
absolute error = 1.2748079361914960e-16
relative error = 3.8344807683831027119440000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 3.56
x[1] = -1.416
y[1] (analytic) = 0.33277250074541040166971929974017
y[1] (numeric) = 0.33277250074541027350839755841928
absolute error = 1.2816132174132089e-16
relative error = 3.8513194886668678841984000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.751
Order of pole = 3.56
x[1] = -1.415
y[1] (analytic) = 0.33308629433170398621022741466745
y[1] (numeric) = 0.33308629433170385736543998111164
absolute error = 1.2884478743355581e-16
relative error = 3.8682104195270709167725000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.75
Order of pole = 3.56
x[1] = -1.414
y[1] (analytic) = 0.33340045795886905230253024275554
y[1] (numeric) = 0.33340045795886892277133010200921
absolute error = 1.2953120014074633e-16
relative error = 3.8851536357735397921668000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.749
Order of pole = 3.559
x[1] = -1.413
y[1] (analytic) = 0.33371499204590316458589807209512
y[1] (numeric) = 0.33371499204590303436532875480405
absolute error = 1.3022056931729107e-16
relative error = 3.9021492117854558433883000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.748
Order of pole = 3.559
x[1] = -1.412
y[1] (analytic) = 0.33402989701190215329032809752604
y[1] (numeric) = 0.33402989701190202237742367062552
absolute error = 1.3091290442690052e-16
relative error = 3.9191972215060687034688000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.747
Order of pole = 3.559
memory used=99.1MB, alloc=4.5MB, time=15.19
x[1] = -1.411
y[1] (analytic) = 0.33434517327605777618332279588796
y[1] (numeric) = 0.33434517327605764457510785348805
absolute error = 1.3160821494239991e-16
relative error = 3.9362977384373768121710999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 3.558
x[1] = -1.41
y[1] (analytic) = 0.3346608212576553662862688665038
y[1] (numeric) = 0.33466082125765523397975852097418
absolute error = 1.3230651034552962e-16
relative error = 3.9534508356347705752200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.746
Order of pole = 3.558
x[1] = -1.409
y[1] (analytic) = 0.33497684137607146529924653659069
y[1] (numeric) = 0.3349768413760713322914464098474
absolute error = 1.3300780012674329e-16
relative error = 3.9706565857016433551449000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.745
Order of pole = 3.558
x[1] = -1.408
y[1] (analytic) = 0.3352932340507714426729040149353
y[1] (numeric) = 0.33529323405077130896081022993188
absolute error = 1.3371209378500342e-16
relative error = 3.9879150607839644002688000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.744
Order of pole = 3.557
x[1] = -1.407
y[1] (analytic) = 0.33560999970130710026583668076341
y[1] (numeric) = 0.33560999970130696584643585318887
absolute error = 1.3441940082757454e-16
relative error = 4.0052263325648165053645999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.743
Order of pole = 3.557
x[1] = -1.406
y[1] (analytic) = 0.33592713874731426252571522247111
y[1] (numeric) = 0.33592713874731412739598445265721
absolute error = 1.3512973076981390e-16
relative error = 4.0225904722588973082040000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.742
Order of pole = 3.557
x[1] = -1.405
y[1] (analytic) = 0.33624465160851035213221139701247
y[1] (numeric) = 0.33624465160851021628911826205272
absolute error = 1.3584309313495975e-16
relative error = 4.0400075506069867049375000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.741
Order of pole = 3.557
x[1] = -1.404
y[1] (analytic) = 0.33656253870469195103957436955105
y[1] (numeric) = 0.33656253870469181448007691563404
absolute error = 1.3655949745391701e-16
relative error = 4.0574776378703748278416000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 3.556
x[1] = -1.403
y[1] (analytic) = 0.33688080045573234685651471882749
y[1] (numeric) = 0.33688080045573220957756145378699
absolute error = 1.3727895326504050e-16
relative error = 4.0750008038252560556450000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.74
Order of pole = 3.556
x[1] = -1.402
y[1] (analytic) = 0.33719943728157906450085716096957
y[1] (numeric) = 0.33719943728157892649938704705401
absolute error = 1.3800147011391556e-16
relative error = 4.0925771177570844039824000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.739
Order of pole = 3.556
x[1] = -1.401
y[1] (analytic) = 0.3375184496022513830662268576256
y[1] (numeric) = 0.33751844960225124433916930448944
absolute error = 1.3872705755313616e-16
relative error = 4.1102066484548936798416000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.738
Order of pole = 3.556
x[1] = -1.4
y[1] (analytic) = 0.33783783783783783783783783783784
y[1] (numeric) = 0.33783783783783769838211269575739
absolute error = 1.3945572514208045e-16
relative error = 4.1278894642055813200000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.737
Order of pole = 3.555
x[1] = -1.399
y[1] (analytic) = 0.33815760240849370739425558154485
y[1] (numeric) = 0.33815760240849356720677313486123
absolute error = 1.4018748244668362e-16
relative error = 4.1456256327881524774762000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.736
Order of pole = 3.555
x[1] = -1.398
y[1] (analytic) = 0.33847774373443848573180919061848
y[1] (numeric) = 0.33847774373443834480947015141025
absolute error = 1.4092233903920823e-16
relative error = 4.1634152214679295154492000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 3.555
x[1] = -1.397
y[1] (analytic) = 0.33879826223595333934813181556229
y[1] (numeric) = 0.33879826223595319768782731755043
absolute error = 1.4166030449801186e-16
relative error = 4.1812582969907228808274000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.735
Order of pole = 3.555
x[1] = -1.396
y[1] (analytic) = 0.3391191583333785492211111171399
y[1] (numeric) = 0.3391191583333784068197227098278
absolute error = 1.4240138840731210e-16
relative error = 4.1991549255769643747360000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.734
Order of pole = 3.554
x[1] = -1.395
y[1] (analytic) = 0.33944043244711093761933452703219
y[1] (numeric) = 0.33944043244711079447373417008331
absolute error = 1.4314560035694888e-16
relative error = 4.2171051729158032420200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.733
Order of pole = 3.554
x[1] = -1.394
y[1] (analytic) = 0.33976208499760127967991693496546
y[1] (numeric) = 0.33976208499760113578696699282137
absolute error = 1.4389294994214409e-16
relative error = 4.2351091041591640287524000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.732
Order of pole = 3.554
x[1] = -1.393
y[1] (analytic) = 0.34008411640535169968940117648699
y[1] (numeric) = 0.34008411640535155504595441322851
absolute error = 1.4464344676325848e-16
relative error = 4.2531667839157663425752000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.731
Order of pole = 3.554
x[1] = -1.392
y[1] (analytic) = 0.34040652709091305200322433062461
y[1] (numeric) = 0.34040652709091290660612390507876
absolute error = 1.4539710042554585e-16
relative error = 4.2712782762451072389439999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 3.554
x[1] = -1.391
y[1] (analytic) = 0.34072931747488228653904536504206
y[1] (numeric) = 0.34072931747488214038512482613767
absolute error = 1.4615392053890439e-16
relative error = 4.2894436446514025502759000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.73
Order of pole = 3.554
x[1] = -1.39
y[1] (analytic) = 0.34105248797789979877903209303912
y[1] (numeric) = 0.34105248797789965186511537541373
absolute error = 1.4691391671762539e-16
relative error = 4.3076629520774940601900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.729
Order of pole = 3.553
x[1] = -1.389
y[1] (analytic) = 0.34137603902064676421600773694655
y[1] (numeric) = 0.34137603902064661653890915680752
absolute error = 1.4767709858013903e-16
relative error = 4.3259362608987144349863000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.728
Order of pole = 3.553
x[1] = -1.388
y[1] (analytic) = 0.34169997102384245717815963129206
y[1] (numeric) = 0.34169997102384230873468388253469
memory used=103.0MB, alloc=4.5MB, time=15.79
absolute error = 1.4844347574875737e-16
relative error = 4.3442636329167138862928000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.727
Order of pole = 3.553
x[1] = -1.387
y[1] (analytic) = 0.34202428440824155396681475178101
y[1] (numeric) = 0.34202428440824140475375690236644
absolute error = 1.4921305784941457e-16
relative error = 4.3626451293532498791432999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.726
Order of pole = 3.553
x[1] = -1.386
y[1] (analytic) = 0.34234897959463142024158882792034
y[1] (numeric) = 0.3423489795946312702557343165162
absolute error = 1.4998585451140414e-16
relative error = 4.3810808108439344732344000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 3.553
x[1] = -1.385
y[1] (analytic) = 0.34267405700382938258701779335041
y[1] (numeric) = 0.342674057003829231825142426237
absolute error = 1.5076187536711341e-16
relative error = 4.3995707374319453089725000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.725
Order of pole = 3.553
x[1] = -1.384
y[1] (analytic) = 0.34299951705667998419458225402819
y[1] (numeric) = 0.34299951705667983265345220227315
absolute error = 1.5154113005175504e-16
relative error = 4.4181149685616954189824000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.724
Order of pole = 3.553
x[1] = -1.383
y[1] (analytic) = 0.34332536017405222459383751578009
y[1] (numeric) = 0.34332536017405207227020931268449
absolute error = 1.5232362820309560e-16
relative error = 4.4367135630724632006840000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.723
Order of pole = 3.553
x[1] = -1.382
y[1] (analytic) = 0.34365158677683678336616351492341
y[1] (numeric) = 0.34365158677683663025678405374216
absolute error = 1.5310937946118125e-16
relative error = 4.4553665791919838772500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.722
Order of pole = 3.553
x[1] = -1.381
y[1] (analytic) = 0.34397819728594322777445074421403
y[1] (numeric) = 0.34397819728594307387605727615362
absolute error = 1.5389839346806041e-16
relative error = 4.4740740745299996959601000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 3.553
x[1] = -1.38
y[1] (analytic) = 0.3443051921222972042418399669467
y[1] (numeric) = 0.34430519212229704955116009944325
absolute error = 1.5469067986750345e-16
relative error = 4.4928361060717702018000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.721
Order of pole = 3.553
x[1] = -1.379
y[1] (analytic) = 0.34463257170683761361243517030535
y[1] (numeric) = 0.34463257170683745812618686558593
absolute error = 1.5548624830471942e-16
relative error = 4.5116527301715436256822000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.72
Order of pole = 3.552
x[1] = -1.378
y[1] (analytic) = 0.34496033646051377012671083078868
y[1] (numeric) = 0.344960336460513613841602404719
absolute error = 1.5628510842606968e-16
relative error = 4.5305240025459857823711999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.719
Order of pole = 3.552
x[1] = -1.377
y[1] (analytic) = 0.34528848680428254404413615553727
y[1] (numeric) = 0.3452884868042823869568662767588
absolute error = 1.5708726987877847e-16
relative error = 4.5494499782675681154263000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.718
Order of pole = 3.552
x[1] = -1.376
y[1] (analytic) = 0.34561702315910548784534052954058
y[1] (numeric) = 0.34561702315910532995259821890005
absolute error = 1.5789274231064053e-16
relative error = 4.5684307117579185412928000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.717
Order of pole = 3.552
x[1] = -1.375
y[1] (analytic) = 0.34594594594594594594594594594595
y[1] (numeric) = 0.34594594594594578724441057622048
absolute error = 1.5870153536972547e-16
relative error = 4.5874662567811268671874999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 3.552
x[1] = -1.374
y[1] (analytic) = 0.34627525558576614785399373103277
y[1] (numeric) = 0.34627525558576598834033502695368
absolute error = 1.5951365870407909e-16
relative error = 4.6065566664370110611284000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.716
Order of pole = 3.552
x[1] = -1.373
y[1] (analytic) = 0.34660495249952428470269440291925
y[1] (numeric) = 0.34660495249952412437357244149764
absolute error = 1.6032912196142161e-16
relative error = 4.6257019931543436823768999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.715
Order of pole = 3.552
x[1] = -1.372
y[1] (analytic) = 0.34693503710817156909003102986972
y[1] (numeric) = 0.34693503710817140794209624102712
absolute error = 1.6114793478884260e-16
relative error = 4.6449022886840328875840000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.714
Order of pole = 3.552
x[1] = -1.371
y[1] (analytic) = 0.34726550983264927815654798636358
y[1] (numeric) = 0.34726550983264911618644115387068
absolute error = 1.6197010683249290e-16
relative error = 4.6641576040922668704890000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.713
Order of pole = 3.552
x[1] = -1.37
y[1] (analytic) = 0.34759637109388577983245854913275
y[1] (numeric) = 0.34759637109388561703681081185957
absolute error = 1.6279564773727318e-16
relative error = 4.6834679897536121154200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 3.553
x[1] = -1.369
y[1] (analytic) = 0.34792762131279354218500633750162
y[1] (numeric) = 0.34792762131279337856043919098226
absolute error = 1.6362456714651936e-16
relative error = 4.7028334953440723025696000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.712
Order of pole = 3.553
x[1] = -1.368
y[1] (analytic) = 0.34825926091026612579681718896269
y[1] (numeric) = 0.34825926091026596133994248727793
absolute error = 1.6445687470168476e-16
relative error = 4.7222541698341046029824000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.711
Order of pole = 3.553
x[1] = -1.367
y[1] (analytic) = 0.34859129030717515910577967845242
y[1] (numeric) = 0.34859129030717499381319963643349
absolute error = 1.6529258004201893e-16
relative error = 4.7417300614815924228277000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.71
Order of pole = 3.553
x[1] = -1.366
y[1] (analytic) = 0.34892370992436729663679414478101
y[1] (numeric) = 0.34892370992436713050510134053773
absolute error = 1.6613169280424328e-16
relative error = 4.7612612178247785377568000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.709
Order of pole = 3.553
x[1] = -1.365
y[1] (analytic) = 0.34925652018266116005553178670904
y[1] (numeric) = 0.3492565201826609930813091644858
absolute error = 1.6697422262222324e-16
relative error = 4.7808476856751513634900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.5MB, time=16.38
Complex estimate of poles used
Radius of convergence = 1.708
Order of pole = 3.553
x[1] = -1.364
y[1] (analytic) = 0.34958972150284426197414714091542
y[1] (numeric) = 0.34958972150284409415396801427816
absolute error = 1.6782017912663726e-16
relative error = 4.8004895111102937568096000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 3.553
x[1] = -1.363
y[1] (analytic) = 0.34992331430566991243868906129222
y[1] (numeric) = 0.34992331430566974376911711664994
absolute error = 1.6866957194464228e-16
relative error = 4.8201867394666842387332000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.707
Order of pole = 3.553
x[1] = -1.362
y[1] (analytic) = 0.35025729901185410802775719043209
y[1] (numeric) = 0.3502572990118539385053464908962
absolute error = 1.6952241069953589e-16
relative error = 4.8399394153324574552916000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.706
Order of pole = 3.553
x[1] = -1.361
y[1] (analytic) = 0.35059167604207240349175285670862
y[1] (numeric) = 0.35059167604207223311304784629352
absolute error = 1.7037870501041510e-16
relative error = 4.8597475825401220844710000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.705
Order of pole = 3.553
x[1] = -1.36
y[1] (analytic) = 0.35092644581695676586187535092645
y[1] (numeric) = 0.35092644581695659462341085909486
absolute error = 1.7123846449183159e-16
relative error = 4.8796112841592329886399999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.704
Order of pole = 3.553
x[1] = -1.359
y[1] (analytic) = 0.35126160875709241095781664214275
y[1] (numeric) = 0.3512616087570922388561178886992
absolute error = 1.7210169875344355e-16
relative error = 4.8995305624890212706755000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 3.554
x[1] = -1.358
y[1] (analytic) = 0.35159716528301462222290979001211
y[1] (numeric) = 0.35159716528301444925449239034802
absolute error = 1.7296841739966409e-16
relative error = 4.9195054590509821687076000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.703
Order of pole = 3.554
x[1] = -1.357
y[1] (analytic) = 0.35193311581520555181528860803062
y[1] (numeric) = 0.35193311581520537797665857872463
absolute error = 1.7383863002930599e-16
relative error = 4.9395360145814147597951000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.702
Order of pole = 3.554
x[1] = -1.356
y[1] (analytic) = 0.35226946077409100388341853557358
y[1] (numeric) = 0.35226946077409082917107230035048
absolute error = 1.7471234623522310e-16
relative error = 4.9596222690239228200160000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.701
Order of pole = 3.554
x[1] = -1.355
y[1] (analytic) = 0.3526062005800371999541611939246
y[1] (numeric) = 0.35260620058003702436458558997655
absolute error = 1.7558957560394805e-16
relative error = 4.9797642615218676850124999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.7
Order of pole = 3.554
x[1] = -1.354
y[1] (analytic) = 0.35294333565334752636133773994853
y[1] (numeric) = 0.35294333565334734989101002462212
absolute error = 1.7647032771532641e-16
relative error = 4.9999620304107776267556000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 3.554
x[1] = -1.353
y[1] (analytic) = 0.35328086641425926364255889810285
y[1] (numeric) = 0.35328086641425908628794675595553
absolute error = 1.7735461214214732e-16
relative error = 5.0202156132107148331787999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.699
Order of pole = 3.555
x[1] = -1.352
y[1] (analytic) = 0.35361879328294029783189245462364
y[1] (numeric) = 0.35361879328294011958945400485325
absolute error = 1.7824243844977039e-16
relative error = 5.0405250466185948496255999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.698
Order of pole = 3.555
x[1] = -1.351
y[1] (analytic) = 0.35395711667948581357574204454833
y[1] (numeric) = 0.35395711667948563444192584879933
absolute error = 1.7913381619574900e-16
relative error = 5.0608903665004627054900000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.697
Order of pole = 3.555
x[1] = -1.35
y[1] (analytic) = 0.35429583702391496899911426040744
y[1] (numeric) = 0.3542958370239147889703593309575
absolute error = 1.8002875492944994e-16
relative error = 5.0813116078837245565000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.696
Order of pole = 3.555
x[1] = -1.349
y[1] (analytic) = 0.35463495473616755224925446866641
y[1] (numeric) = 0.35463495473616737132199027699714
absolute error = 1.8092726419166927e-16
relative error = 5.1017888049493319921526999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 3.556
x[1] = -1.348
y[1] (analytic) = 0.35497447023610061964343524413724
y[1] (numeric) = 0.3549744702361004378140817298927
absolute error = 1.8182935351424454e-16
relative error = 5.1223219910239235061216000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.695
Order of pole = 3.556
x[1] = -1.347
y[1] (analytic) = 0.35531438394348511534748503149329
y[1] (numeric) = 0.35531438394348493261245261183004
absolute error = 1.8273503241966325e-16
relative error = 5.1429111985719202776925000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.694
Order of pole = 3.556
x[1] = -1.346
y[1] (analytic) = 0.35565469627800247251144852467319
y[1] (numeric) = 0.35565469627800228886713810400574
absolute error = 1.8364431042066745e-16
relative error = 5.1635564591875739984420000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.693
Order of pole = 3.556
x[1] = -1.345
y[1] (analytic) = 0.35599540765924119578857432739118
y[1] (numeric) = 0.35599540765924101123137730753653
absolute error = 1.8455719701985465e-16
relative error = 5.1842578035869720821625000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.692
Order of pole = 3.557
x[1] = -1.344
y[1] (analytic) = 0.35633651850669342516362972929827
y[1] (numeric) = 0.35633651850669323968992802002345
absolute error = 1.8547370170927482e-16
relative error = 5.2050152615999946125952000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 3.557
x[1] = -1.343
y[1] (analytic) = 0.35667802923975148101634691075809
y[1] (numeric) = 0.35667802923975129462251294073449
absolute error = 1.8639383397002360e-16
relative error = 5.2258288621622269611640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.691
Order of pole = 3.557
x[1] = -1.342
y[1] (analytic) = 0.35701994027770439034560958298643
y[1] (numeric) = 0.35701994027770420302800631115487
absolute error = 1.8731760327183156e-16
relative error = 5.2466986333068241362384000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.5MB, time=16.97
Complex estimate of poles used
Radius of convergence = 1.69
Order of pole = 3.557
x[1] = -1.341
y[1] (analytic) = 0.35736225203973439407979398780894
y[1] (numeric) = 0.35736225203973420583477491515931
absolute error = 1.8824501907264963e-16
relative error = 5.2676246021563307928603000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.689
Order of pole = 3.558
x[1] = -1.34
y[1] (analytic) = 0.35770496494491343539848333094863
y[1] (numeric) = 0.35770496494491324622239251271803
absolute error = 1.8917609081823060e-16
relative error = 5.2886067949144546536000000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.688
Order of pole = 3.558
x[1] = -1.339
y[1] (analytic) = 0.35804807941219962899058011307874
y[1] (numeric) = 0.35804807941219943887975217137216
absolute error = 1.9011082794170658e-16
relative error = 5.3096452368577908312018000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 3.558
x[1] = -1.338
y[1] (analytic) = 0.35839159586043371117364646245991
y[1] (numeric) = 0.35839159586043352012440659929733
absolute error = 1.9104923986316258e-16
relative error = 5.3307399523275020986952000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.687
Order of pole = 3.559
x[1] = -1.337
y[1] (analytic) = 0.35873551470833547079910847049885
y[1] (numeric) = 0.35873551470833527880777248129279
absolute error = 1.9199133598920606e-16
relative error = 5.3518909647209514746814000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.686
Order of pole = 3.559
x[1] = -1.336
y[1] (analytic) = 0.35907983637450016086776669577607
y[1] (numeric) = 0.35907983637449996793064098324368
absolute error = 1.9293712571253239e-16
relative error = 5.3730982964832860278144000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.685
Order of pole = 3.559
x[1] = -1.335
y[1] (analytic) = 0.35942456127739489077986144183163
y[1] (numeric) = 0.35942456127739469689324303034526
absolute error = 1.9388661841148637e-16
relative error = 5.3943619690989766577325000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 3.56
x[1] = -1.334
y[1] (analytic) = 0.35976968983535499914374813819186
y[1] (numeric) = 0.35976968983535480430392468857234
absolute error = 1.9483982344961952e-16
relative error = 5.4156820030833063453311999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.684
Order of pole = 3.56
x[1] = -1.333
y[1] (analytic) = 0.36011522246658040706704517177316
y[1] (numeric) = 0.36011522246658021127029499652978
absolute error = 1.9579675017524338e-16
relative error = 5.4370584179738141424482000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.683
Order of pole = 3.561
x[1] = -1.332
y[1] (analytic) = 0.36046115958913195185392383599882
y[1] (numeric) = 0.36046115958913175509651591502016
absolute error = 1.9675740792097866e-16
relative error = 5.4584912323216910205984000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.682
Order of pole = 3.561
x[1] = -1.331
y[1] (analytic) = 0.36080750162092770103201769688634
y[1] (numeric) = 0.36080750162092750331021169358619
absolute error = 1.9772180600330015e-16
relative error = 5.4799804636831256703415000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.681
Order of pole = 3.561
x[1] = -1.33
y[1] (analytic) = 0.36115424897973924663223662826393
y[1] (numeric) = 0.36115424897973904794228290618641
absolute error = 1.9868995372207752e-16
relative error = 5.5015261286106044512800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 3.562
x[1] = -1.329
y[1] (analytic) = 0.36150140208318797964457905149985
y[1] (numeric) = 0.36150140208318777998271869138796
absolute error = 1.9966186036011189e-16
relative error = 5.5231282426441627470549000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.68
Order of pole = 3.562
x[1] = -1.328
y[1] (analytic) = 0.36184896134874134457284453810704
y[1] (numeric) = 0.36184896134874114393530935543891
absolute error = 2.0063753518266813e-16
relative error = 5.5447868203025872137792000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.679
Order of pole = 3.563
x[1] = -1.327
y[1] (analytic) = 0.36219692719370907401095790583532
y[1] (numeric) = 0.36219692719370887239397046883241
absolute error = 2.0161698743700291e-16
relative error = 5.5665018750745700730339000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.678
Order of pole = 3.563
x[1] = -1.326
y[1] (analytic) = 0.36254530003523940316342526998748
y[1] (numeric) = 0.362545300035239200563198918099
absolute error = 2.0260022635188848e-16
relative error = 5.5882734194098154906048000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.677
Order of pole = 3.564
x[1] = -1.325
y[1] (analytic) = 0.3628940802903152642322522113858
y[1] (numeric) = 0.3628940802903150606449910742537
absolute error = 2.0358726113713210e-16
relative error = 5.6101014647100964306250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 3.564
x[1] = -1.324
y[1] (analytic) = 0.36324326837575046059246430045158
y[1] (numeric) = 0.36324326837575025601436331736049
absolute error = 2.0457810098309109e-16
relative error = 5.6319860213202617658384000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.676
Order of pole = 3.564
x[1] = -1.323
y[1] (analytic) = 0.363592864708185820678180683111
y[1] (numeric) = 0.3635928647081856151054256229274
absolute error = 2.0557275506018360e-16
relative error = 5.6539270985191970040440000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.675
Order of pole = 3.565
x[1] = -1.322
y[1] (analytic) = 0.36394286970408533150100229866316
y[1] (numeric) = 0.36394286970408512492976978026831
absolute error = 2.0657123251839485e-16
relative error = 5.6759247045107323502740000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.674
Order of pole = 3.565
x[1] = -1.321
y[1] (analytic) = 0.36429328377973225172228757238963
y[1] (numeric) = 0.36429328377973204414874508561055
absolute error = 2.0757354248677908e-16
relative error = 5.6979788464145053254228000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 3.566
x[1] = -1.32
y[1] (analytic) = 0.36464410735122520420070011668611
y[1] (numeric) = 0.36464410735122499562100604372922
absolute error = 2.0857969407295689e-16
relative error = 5.7200895302567697513600000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.673
Order of pole = 3.566
x[1] = -1.319
y[1] (analytic) = 0.36499534083447424793622509408667
y[1] (numeric) = 0.36499534083447403834652873147842
absolute error = 2.0958969636260825e-16
relative error = 5.7422567609611594162825000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.5MB, time=17.57
Complex estimate of poles used
Radius of convergence = 1.672
Order of pole = 3.567
x[1] = -1.318
y[1] (analytic) = 0.36534698464519692933166345404885
y[1] (numeric) = 0.36534698464519671872810503508798
absolute error = 2.1060355841896087e-16
relative error = 5.7644805423393985233788000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.671
Order of pole = 3.567
x[1] = -1.317
y[1] (analytic) = 0.36569903919891431269242626318848
y[1] (numeric) = 0.3656990391989141010711369809144
absolute error = 2.1162128928227408e-16
relative error = 5.7867608770819636674512000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.67
Order of pole = 3.568
x[1] = -1.316
y[1] (analytic) = 0.36605150491094698988526481630071
y[1] (numeric) = 0.36605150491094677724236684698253
absolute error = 2.1264289796931818e-16
relative error = 5.8090977667486968594208000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 3.568
x[1] = -1.315
y[1] (analytic) = 0.3664043821964110690763861535784
y[1] (numeric) = 0.36640438219641085540799268072927
absolute error = 2.1366839347284913e-16
relative error = 5.8314912117593666682424999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.669
Order of pole = 3.569
x[1] = -1.314
y[1] (analytic) = 0.3667576714702141424692180286335
y[1] (numeric) = 0.36675767147021392777143326755488
absolute error = 2.1469778476107862e-16
relative error = 5.8539412113841792097752000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.668
Order of pole = 3.569
x[1] = -1.313
y[1] (analytic) = 0.36711137314705123296190228302892
y[1] (numeric) = 0.36711137314705101723082150588934
absolute error = 2.1573108077713958e-16
relative error = 5.8764477637342412459302000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.667
Order of pole = 3.57
x[1] = -1.312
y[1] (analytic) = 0.36746548764140071964441099691917
y[1] (numeric) = 0.36746548764140050287612055837232
absolute error = 2.1676829043854685e-16
relative error = 5.8990108657519683896640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 3.57
x[1] = -1.311
y[1] (analytic) = 0.36782001536752024205499571305772
y[1] (numeric) = 0.36782001536752002424557307640444
absolute error = 2.1780942263665328e-16
relative error = 5.9216305132014464205488000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.666
Order of pole = 3.571
x[1] = -1.31
y[1] (analytic) = 0.36817495673944258311549648392916
y[1] (numeric) = 0.3681749567394423642610102478281
absolute error = 2.1885448623610106e-16
relative error = 5.9443067006587408906600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.665
Order of pole = 3.571
x[1] = -1.309
y[1] (analytic) = 0.36853031217097153066485448027828
y[1] (numeric) = 0.36853031217097131076136440601006
absolute error = 2.1990349007426822e-16
relative error = 5.9670394215021540387382000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.664
Order of pole = 3.572
x[1] = -1.308
y[1] (analytic) = 0.36888608207567771750998943510261
y[1] (numeric) = 0.36888608207567749655354647439219
absolute error = 2.2095644296071042e-16
relative error = 5.9898286679024329200288000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.663
Order of pole = 3.573
x[1] = -1.307
y[1] (analytic) = 0.36924226686689443991302129161683
y[1] (numeric) = 0.36924226686689421789966761501897
absolute error = 2.2201335367659786e-16
relative error = 6.0126744308129247774714000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 3.573
x[1] = -1.306
y[1] (analytic) = 0.36959886695771345443363408825134
y[1] (numeric) = 0.36959886695771323135940311410393
absolute error = 2.2307423097414741e-16
relative error = 6.0355766999596830180276000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.662
Order of pole = 3.574
x[1] = -1.305
y[1] (analytic) = 0.36995588276098075304519935997632
y[1] (numeric) = 0.36995588276098052890611578392659
absolute error = 2.2413908357604973e-16
relative error = 6.0585354638315182143325000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.661
Order of pole = 3.574
x[1] = -1.304
y[1] (analytic) = 0.37031331468929231644309617481158
y[1] (numeric) = 0.37031331468929209123517599991993
absolute error = 2.2520792017489165e-16
relative error = 6.0815507096700020992640000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.66
Order of pole = 3.575
x[1] = -1.303
y[1] (analytic) = 0.37067116315498984546348536905318
y[1] (numeric) = 0.37067116315498961918273593647971
absolute error = 2.2628074943257347e-16
relative error = 6.1046224234594160052723000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 3.575
x[1] = -1.302
y[1] (analytic) = 0.37102942857015647053061660638675
y[1] (numeric) = 0.37102942857015624317303662666538
absolute error = 2.2735757997972137e-16
relative error = 6.1277505899166495530948000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.659
Order of pole = 3.576
x[1] = -1.301
y[1] (analytic) = 0.37138811134661243905056857662907
y[1] (numeric) = 0.37138811134661221061214816153425
absolute error = 2.2843842041509482e-16
relative error = 6.1509351924810472742681999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.658
Order of pole = 3.577
x[1] = -1.3
y[1] (analytic) = 0.37174721189591078066914498141264
y[1] (numeric) = 0.37174721189591055114586567642374
absolute error = 2.2952327930498890e-16
relative error = 6.1741762133042014100000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.657
Order of pole = 3.577
x[1] = -1.299
y[1] (analytic) = 0.37210673062933295031147193887328
y[1] (numeric) = 0.37210673062933271969930675624158
absolute error = 2.3061216518263170e-16
relative error = 6.1974736332396961321170000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.656
Order of pole = 3.578
x[1] = -1.298
y[1] (analytic) = 0.37246666795788444892066608959164
y[1] (numeric) = 0.37246666795788421721557954201514
absolute error = 2.3170508654757650e-16
relative error = 6.2208274318327957750600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 3.578
x[1] = -1.297
y[1] (analytic) = 0.37282702429229042181276701405446
y[1] (numeric) = 0.37282702429229018901071514896556
absolute error = 2.3280205186508890e-16
relative error = 6.2442375873100823338010000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.655
Order of pole = 3.579
x[1] = -1.296
y[1] (analytic) = 0.37318780004299123456495259022188
y[1] (numeric) = 0.37318780004299100066188302469306
absolute error = 2.3390306956552882e-16
relative error = 6.2677040765690407453312000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.654
Order of pole = 3.58
memory used=118.2MB, alloc=4.5MB, time=18.15
x[1] = -1.295
y[1] (analytic) = 0.37354899562013802635388164100074
y[1] (numeric) = 0.37354899562013779134573359727344
absolute error = 2.3500814804372730e-16
relative error = 6.2912268751675907528250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.653
Order of pole = 3.58
x[1] = -1.294
y[1] (analytic) = 0.37391061143358824066083465822327
y[1] (numeric) = 0.37391061143358800454353899986517
absolute error = 2.3611729565835810e-16
relative error = 6.3148059573135660353159999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 3.581
x[1] = -1.293
y[1] (analytic) = 0.37427264789290113326015055491534
y[1] (numeric) = 0.37427264789290089602962982361123
absolute error = 2.3723052073130411e-16
relative error = 6.3384412958541415499939000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.652
Order of pole = 3.581
x[1] = -1.292
y[1] (analytic) = 0.37463510540733325740728530411379
y[1] (numeric) = 0.37463510540733301905945375709532
absolute error = 2.3834783154701847e-16
relative error = 6.3621328622652070930608000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.651
Order of pole = 3.582
x[1] = -1.291
y[1] (analytic) = 0.37499798438583392614264698327246
y[1] (numeric) = 0.37499798438583368667341063139208
absolute error = 2.3946923635188038e-16
relative error = 6.3858806266406872361878000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.65
Order of pole = 3.583
x[1] = -1.29
y[1] (analytic) = 0.37536128523704065162719117150257
y[1] (numeric) = 0.37536128523704041103244781795692
absolute error = 2.4059474335354565e-16
relative error = 6.4096845576818096616500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 3.583
x[1] = -1.289
y[1] (analytic) = 0.37572500836927456142559085575504
y[1] (numeric) = 0.37572500836927431970123013546321
absolute error = 2.4172436072029183e-16
relative error = 6.4335446226863183167342999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.649
Order of pole = 3.584
x[1] = -1.288
y[1] (analytic) = 0.37608915419053579165262600491022
y[1] (numeric) = 0.37608915419053554879452942455222
absolute error = 2.4285809658035800e-16
relative error = 6.4574607875376342195200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.648
Order of pole = 3.584
x[1] = -1.287
y[1] (analytic) = 0.37645372310849885689826978104322
y[1] (numeric) = 0.37645372310849861290231075976403
absolute error = 2.4399595902127919e-16
relative error = 6.4814330166939638066111000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.647
Order of pole = 3.585
x[1] = -1.286
y[1] (analytic) = 0.37681871553050799684678098844071
y[1] (numeric) = 0.37681871553050775170882489922542
absolute error = 2.4513795608921529e-16
relative error = 6.5054612731773517974084000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 3.586
x[1] = -1.285
y[1] (analytic) = 0.37718413186357249950494582692906
y[1] (numeric) = 0.37718413186357225322085003865456
absolute error = 2.4628409578827450e-16
relative error = 6.5295455185626806126250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.646
Order of pole = 3.586
x[1] = -1.284
y[1] (analytic) = 0.37754997251436200095444633051631
y[1] (numeric) = 0.37754997251436175352006025068496
absolute error = 2.4743438607983135e-16
relative error = 6.5536857129666178416560000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.645
Order of pole = 3.587
x[1] = -1.283
y[1] (analytic) = 0.37791623788920176154316804914725
y[1] (numeric) = 0.37791623788920151295433316730816
absolute error = 2.4858883488183909e-16
relative error = 6.5778818150365071581901000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.644
Order of pole = 3.588
x[1] = -1.282
y[1] (analytic) = 0.37828292839406791843009558453035
y[1] (numeric) = 0.37828292839406766868264551639372
absolute error = 2.4974745006813663e-16
relative error = 6.6021337819392081668411999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.643
Order of pole = 3.588
x[1] = -1.281
y[1] (analytic) = 0.37865004443458271439828153463834
y[1] (numeric) = 0.37865004443458246348804206688856
absolute error = 2.5091023946774978e-16
relative error = 6.6264415693498792673858000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 3.589
x[1] = -1.28
y[1] (analytic) = 0.37901758641600970285021224984839
y[1] (numeric) = 0.37901758641600945077300138566143
absolute error = 2.5207721086418696e-16
relative error = 6.6508051314407087526400000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.642
Order of pole = 3.589
x[1] = -1.279
y[1] (analytic) = 0.37938555474324892889973257112246
y[1] (numeric) = 0.37938555474324867565136057639324
absolute error = 2.5324837199472922e-16
relative error = 6.6752244208695906197402000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.641
Order of pole = 3.59
x[1] = -1.278
y[1] (analytic) = 0.37975394982083208647453142160132
y[1] (numeric) = 0.37975394982083183205080087188676
absolute error = 2.5442373054971456e-16
relative error = 6.6996993887687455541503999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.64
Order of pole = 3.591
x[1] = -1.277
y[1] (analytic) = 0.38012277205291765134303077207877
y[1] (numeric) = 0.38012277205291739573973660026222
absolute error = 2.5560329417181655e-16
relative error = 6.7242299847332878076494999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 3.591
x[1] = -1.276
y[1] (analytic) = 0.38049202184328598997936211273522
y[1] (numeric) = 0.38049202184328573319229165741797
absolute error = 2.5678707045531725e-16
relative error = 6.7488161568097386883600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.639
Order of pole = 3.592
x[1] = -1.275
y[1] (analytic) = 0.3808616995953344441799571530588
y[1] (numeric) = 0.38086169959533418620489020768446
absolute error = 2.5797506694537434e-16
relative error = 6.7734578514844850146249999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.638
Order of pole = 3.593
x[1] = -1.274
y[1] (analytic) = 0.38123180571207239134512305400225
y[1] (numeric) = 0.3812318057120721321778319167199
absolute error = 2.5916729113728235e-16
relative error = 6.7981550136721803750860000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.637
Order of pole = 3.593
x[1] = -1.273
y[1] (analytic) = 0.38160234059611628033881708616848
y[1] (numeric) = 0.38160234059611601997506661044025
absolute error = 2.6036375047572823e-16
relative error = 6.8229075867040962283367000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 3.594
x[1] = -1.272
y[1] (analytic) = 0.38197330464968464283968122035887
y[1] (numeric) = 0.38197330464968438127522886631798
absolute error = 2.6156445235404089e-16
relative error = 6.8477155123164138536576000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.5MB, time=18.75
Complex estimate of poles used
Radius of convergence = 1.636
Order of pole = 3.594
x[1] = -1.271
y[1] (analytic) = 0.38234469827459308009624380744968
y[1] (numeric) = 0.38234469827459281732683969401472
absolute error = 2.6276940411343496e-16
relative error = 6.8725787306384644521736000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.635
Order of pole = 3.595
x[1] = -1.27
y[1] (analytic) = 0.38271652187224922499904320869532
y[1] (numeric) = 0.38271652187224896102043016644677
absolute error = 2.6397861304224855e-16
relative error = 6.8974971801809123629500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.634
Order of pole = 3.596
x[1] = -1.269
y[1] (analytic) = 0.38308877584364767938227701072763
y[1] (numeric) = 0.38308877584364741419019063555253
absolute error = 2.6519208637517510e-16
relative error = 6.9224707978238844921110000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 3.596
x[1] = -1.268
y[1] (analytic) = 0.38346146058936492646743031738338
y[1] (numeric) = 0.38346146058936466005759902489416
absolute error = 2.6640983129248922e-16
relative error = 6.9474995188050440765728000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.633
Order of pole = 3.597
x[1] = -1.267
y[1] (analytic) = 0.38383457650955421836118756882634
y[1] (numeric) = 0.38383457650955395072933264955986
absolute error = 2.6763185491926648e-16
relative error = 6.9725832767076084841272000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.632
Order of pole = 3.597
x[1] = -1.266
y[1] (analytic) = 0.38420812400394043851978441313746
y[1] (numeric) = 0.38420812400394016966162008854023
absolute error = 2.6885816432459723e-16
relative error = 6.9977220034483138796588000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.631
Order of pole = 3.598
x[1] = -1.265
y[1] (analytic) = 0.38458210347181493909180936265131
y[1] (numeric) = 0.38458210347181466900304284185705
absolute error = 2.7008876652079426e-16
relative error = 7.0229156292653225470850000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 3.599
x[1] = -1.264
y[1] (analytic) = 0.38495651531203035305131932296928
y[1] (numeric) = 0.38495651531203008172765086037488
absolute error = 2.7132366846259440e-16
relative error = 7.0481640827060762250240000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.63
Order of pole = 3.599
x[1] = -1.263
y[1] (analytic) = 0.38533135992299538103298860305437
y[1] (numeric) = 0.38533135992299510847011155670045
absolute error = 2.7256287704635392e-16
relative error = 7.0734672906150925621248000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.629
Order of pole = 3.6
x[1] = -1.262
y[1] (analytic) = 0.38570663770266955278086771650871
y[1] (numeric) = 0.38570663770266927897446860727088
absolute error = 2.7380639910923783e-16
relative error = 7.0988251781217080452251999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.628
Order of pole = 3.6
x[1] = -1.261
y[1] (analytic) = 0.38608234904855796312218618357984
y[1] (numeric) = 0.38608234904855768806794475517694
absolute error = 2.7505424142840290e-16
relative error = 7.1242376686277634775090000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.627
Order of pole = 3.601
x[1] = -1.26
y[1] (analytic) = 0.38645849435770598237749265728861
y[1] (numeric) = 0.38645849435770570607108193711411
absolute error = 2.7630641072017450e-16
relative error = 7.1497046837952353619999999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 3.602
x[1] = -1.259
y[1] (analytic) = 0.38683507402669394111828604210081
y[1] (numeric) = 0.38683507402669366355537240288368
absolute error = 2.7756291363921713e-16
relative error = 7.1752261435338105763753000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.626
Order of pole = 3.602
x[1] = -1.258
y[1] (analytic) = 0.38721208845163178918315286668598
y[1] (numeric) = 0.38721208845163151035939608898728
absolute error = 2.7882375677769870e-16
relative error = 7.2008019659884066546679999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.625
Order of pole = 3.603
x[1] = -1.257
y[1] (analytic) = 0.38758953802815372886328903055717
y[1] (numeric) = 0.38758953802815344877434236610877
absolute error = 2.8008894666444840e-16
relative error = 7.2264320675266342997160000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.624
Order of pole = 3.603
x[1] = -1.256
y[1] (analytic) = 0.38796742315141282216814818493321
y[1] (numeric) = 0.3879674231514125408096584208249
absolute error = 2.8135848976410831e-16
relative error = 7.2521163627262067692416000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 3.604
x[1] = -1.255
y[1] (analytic) = 0.38834574421607557208182444830633
y[1] (numeric) = 0.38834574421607528944943197202781
absolute error = 2.8263239247627852e-16
relative error = 7.2778547643622909596299999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.623
Order of pole = 3.604
x[1] = -1.254
y[1] (analytic) = 0.38872450161631647772064391436244
y[1] (numeric) = 0.38872450161631619380998277970653
absolute error = 2.8391066113465591e-16
relative error = 7.3036471833948048296956000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.622
Order of pole = 3.605
x[1] = -1.253
y[1] (analytic) = 0.38910369574581256330230750164688
y[1] (numeric) = 0.38910369574581227810900549548049
absolute error = 2.8519330200616639e-16
relative error = 7.3294935289556567779751000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.621
Order of pole = 3.606
x[1] = -1.252
y[1] (analytic) = 0.3894833269977378808367971383881
y[1] (numeric) = 0.38948332699773759435647584829734
absolute error = 2.8648032129009076e-16
relative error = 7.3553937083359318666304000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 3.606
x[1] = -1.251
y[1] (analytic) = 0.38986339576475798644912809000854
y[1] (numeric) = 0.38986339576475769867740297282462
absolute error = 2.8777172511718392e-16
relative error = 7.3813476269730187198392000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.62
Order of pole = 3.607
x[1] = -1.25
y[1] (analytic) = 0.39024390243902439024390243902439
y[1] (numeric) = 0.39024390243902410117638289023673
absolute error = 2.8906751954878766e-16
relative error = 7.4073551884376837875000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.619
Order of pole = 3.607
x[1] = -1.249
y[1] (analytic) = 0.39062484741216897962149233535456
y[1] (numeric) = 0.39062484741216868925378175941779
absolute error = 2.9036771057593677e-16
relative error = 7.4334162944210870713676999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.5MB, time=19.33
Complex estimate of poles used
Radius of convergence = 1.618
Order of pole = 3.608
x[1] = -1.248
y[1] (analytic) = 0.39100623107529841595555666775106
y[1] (numeric) = 0.39100623107529812428325254929246
absolute error = 2.9167230411845860e-16
relative error = 7.4595308447217434333439999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 3.608
x[1] = -1.247
y[1] (analytic) = 0.39138805381898850454147128248863
y[1] (numeric) = 0.39138805381898821156016525842268
absolute error = 2.9298130602406595e-16
relative error = 7.4856987372324271884355000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.617
Order of pole = 3.609
x[1] = -1.246
y[1] (analytic) = 0.39177031603327853772513081210852
y[1] (numeric) = 0.39177031603327824343040874466519
absolute error = 2.9429472206744333e-16
relative error = 7.5119198679270217891828000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.616
Order of pole = 3.609
x[1] = -1.245
y[1] (analytic) = 0.3921530181076656111214595935334
y[1] (numeric) = 0.39215301810766531550890164420699
absolute error = 2.9561255794932641e-16
relative error = 7.5381941308473107866024999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.615
Order of pole = 3.61
x[1] = -1.244
y[1] (analytic) = 0.39253616043109891283185007002845
y[1] (numeric) = 0.39253616043109861589703077445362
absolute error = 2.9693481929557483e-16
relative error = 7.5645214180897152011888000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 3.61
x[1] = -1.243
y[1] (analytic) = 0.39291974339197398556962950418636
y[1] (numeric) = 0.3929197433919736873081178479481
absolute error = 2.9826151165623826e-16
relative error = 7.5909016197919752737474000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.614
Order of pole = 3.611
x[1] = -1.242
y[1] (analytic) = 0.39330376737812696160253979840822
y[1] (numeric) = 0.39330376737812666200989929379267
absolute error = 2.9959264050461555e-16
relative error = 7.6173346241197733127020000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.613
Order of pole = 3.611
x[1] = -1.241
y[1] (analytic) = 0.39368823277682877042110074442508
y[1] (numeric) = 0.39368823277682846949288950811793
absolute error = 3.0092821123630715e-16
relative error = 7.6438203172533030187915000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.612
Order of pole = 3.612
x[1] = -1.24
y[1] (analytic) = 0.39407313997477931904161412358134
y[1] (numeric) = 0.39407313997477901677338495532072
absolute error = 3.0226822916826062e-16
relative error = 7.6703585833737814931199999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 3.612
x[1] = -1.239
y[1] (analytic) = 0.39445848935810164485245477434805
y[1] (numeric) = 0.39445848935810134123975523653879
absolute error = 3.0361269953780926e-16
relative error = 7.6969493046499054902046000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.611
Order of pole = 3.613
x[1] = -1.238
y[1] (analytic) = 0.39484428131233604091218505245901
y[1] (numeric) = 0.39484428131233573595055755075516
absolute error = 3.0496162750170385e-16
relative error = 7.7235923612242524547940000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.61
Order of pole = 3.613
x[1] = -1.237
y[1] (analytic) = 0.39523051622243415360792105191392
y[1] (numeric) = 0.39523051622243384729290291677654
absolute error = 3.0631501813513738e-16
relative error = 7.7502876311996240961722000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.609
Order of pole = 3.613
x[1] = -1.236
y[1] (analytic) = 0.39561719447275305258227255176255
y[1] (numeric) = 0.39561719447275274490939612099974
absolute error = 3.0767287643076281e-16
relative error = 7.7770349906253343178576000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.608
Order of pole = 3.614
x[1] = -1.235
y[1] (analytic) = 0.39600431644704927283707392410577
y[1] (numeric) = 0.39600431644704896380186662640192
absolute error = 3.0903520729770385e-16
relative error = 7.8038343134834420461625000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 3.614
x[1] = -1.234
y[1] (analytic) = 0.39639188252847282892202020330147
y[1] (numeric) = 0.39639188252847251852000464274281
absolute error = 3.1040201556055866e-16
relative error = 7.8306854716749272286696000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.607
Order of pole = 3.615
x[1] = -1.233
y[1] (analytic) = 0.39677989309956120111622119526769
y[1] (numeric) = 0.39677989309956088934291523687123
absolute error = 3.1177330595839646e-16
relative error = 7.8575883350058105577693999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.606
Order of pole = 3.615
x[1] = -1.232
y[1] (analytic) = 0.39716834854223329351058691949874
y[1] (numeric) = 0.39716834854223298036150377575169
absolute error = 3.1314908314374705e-16
relative error = 7.8845427711732177241920000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.605
Order of pole = 3.615
x[1] = -1.231
y[1] (analytic) = 0.39755724923778336389885984556491
y[1] (numeric) = 0.39755724923778304936950816398166
absolute error = 3.1452935168158325e-16
relative error = 7.9115486457513892530325000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 3.616
x[1] = -1.23
y[1] (analytic) = 0.39794659556687492538501333121095
y[1] (numeric) = 0.39794659556687460947089728291491
absolute error = 3.1591411604829604e-16
relative error = 7.9386058221776311891600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.604
Order of pole = 3.616
x[1] = -1.229
y[1] (analytic) = 0.39833638790953461961464141160856
y[1] (numeric) = 0.39833638790953430231126078094596
absolute error = 3.1730338063066260e-16
relative error = 7.9657141617382124820660000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.603
Order of pole = 3.616
x[1] = -1.228
y[1] (analytic) = 0.39872662664514606153787264990526
y[1] (numeric) = 0.3987266266451457428407229250982
absolute error = 3.1869714972480706e-16
relative error = 7.9928735235542050956704000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.602
Order of pole = 3.617
x[1] = -1.227
y[1] (analytic) = 0.39911731215244365561125015914803
y[1] (numeric) = 0.39911731215244333551582262399395
absolute error = 3.2009542753515408e-16
relative error = 8.0200837645672706690832000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 3.617
x[1] = -1.226
y[1] (analytic) = 0.39950844480950638334593116629299
y[1] (numeric) = 0.39950844480950606184771299291799
absolute error = 3.2149821817337500e-16
relative error = 8.0473447395253880150000000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.5MB, time=19.90
Complex estimate of poles used
Radius of convergence = 1.601
Order of pole = 3.617
x[1] = -1.225
y[1] (analytic) = 0.39990002499375156210947263184204
y[1] (numeric) = 0.39990002499375123920394697451524
absolute error = 3.2290552565732680e-16
relative error = 8.0746563009685282925000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.6
Order of pole = 3.618
x[1] = -1.224
y[1] (analytic) = 0.40029205308192857508838448532049
y[1] (numeric) = 0.4002920530819282507710305753369
absolute error = 3.2431735390998359e-16
relative error = 8.1020182992142716493184000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.599
Order of pole = 3.618
x[1] = -1.223
y[1] (analytic) = 0.40068452945011257231854900912719
y[1] (numeric) = 0.40068452945011224658484225076637
absolute error = 3.2573370675836082e-16
relative error = 8.1294305823433709093778000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 3.618
x[1] = -1.222
y[1] (analytic) = 0.40107745447369814269052382319864
y[1] (numeric) = 0.40107745447369781553593589076664
absolute error = 3.2715458793243200e-16
relative error = 8.1568929961852578668800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.598
Order of pole = 3.619
x[1] = -1.221
y[1] (analytic) = 0.4014708285273929568366668125344
y[1] (numeric) = 0.40147082852739262825666574849638
absolute error = 3.2858000106403802e-16
relative error = 8.1844053843034952577482000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.597
Order of pole = 3.619
x[1] = -1.22
y[1] (analytic) = 0.4018646519852113808069442211863
y[1] (numeric) = 0.40186465198521105079699453539732
absolute error = 3.3000994968578898e-16
relative error = 8.2119675879811729783200000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.596
Order of pole = 3.619
x[1] = -1.219
y[1] (analytic) = 0.40225892522046806044020803222577
y[1] (numeric) = 0.40225892522046772899577080226727
absolute error = 3.3144443722995850e-16
relative error = 8.2395794462062486261849999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.595
Order of pole = 3.619
x[1] = -1.218
y[1] (analytic) = 0.40265364860577147633765568603323
y[1] (numeric) = 0.40265364860577114345418865866272
absolute error = 3.3288346702737051e-16
relative error = 8.2672407956568331847724000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 3.62
x[1] = -1.217
y[1] (analytic) = 0.40304882251301746934511418171617
y[1] (numeric) = 0.40304882251301713501807187543765
absolute error = 3.3432704230627852e-16
relative error = 8.2949514706864226690828000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.594
Order of pole = 3.62
x[1] = -1.216
y[1] (analytic) = 0.40344444731338273645072168142735
y[1] (numeric) = 0.40344444731338240067555549019015
absolute error = 3.3577516619123720e-16
relative error = 8.3227113033090723320320000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.593
Order of pole = 3.62
x[1] = -1.215
y[1] (analytic) = 0.40384052337731829700451291784874
y[1] (numeric) = 0.40384052337731795977667121588232
absolute error = 3.3722784170196642e-16
relative error = 8.3505201231845179836450000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.592
Order of pole = 3.62
x[1] = -1.214
y[1] (analytic) = 0.40423705107454292916635001430999
y[1] (numeric) = 0.40423705107454259048127826210239
absolute error = 3.3868507175220760e-16
relative error = 8.3783777576032415204960000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 3.62
x[1] = -1.213
y[1] (analytic) = 0.4046340307740365764885777882623
y[1] (numeric) = 0.40463403077403623634171863968991
absolute error = 3.4014685914857239e-16
relative error = 8.4062840314714819890190999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.591
Order of pole = 3.621
x[1] = -1.212
y[1] (analytic) = 0.40503146284403372453972224562404
y[1] (numeric) = 0.40503146284403338292651565624043
absolute error = 3.4161320658938361e-16
relative error = 8.4342387672961912760784000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.59
Order of pole = 3.621
x[1] = -1.211
y[1] (analytic) = 0.4054293476520167474754928095078
y[1] (numeric) = 0.40542934765201640439137614599928
absolute error = 3.4308411666350852e-16
relative error = 8.4622417851699369825892000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.589
Order of pole = 3.621
x[1] = -1.21
y[1] (analytic) = 0.40582768556470922446329288584067
y[1] (numeric) = 0.40582768556470887990370103665642
absolute error = 3.4455959184918425e-16
relative error = 8.4902929027557491042500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 3.621
x[1] = -1.209
y[1] (analytic) = 0.40622647694806922586638967437292
y[1] (numeric) = 0.40622647694806887982675516153749
absolute error = 3.4603963451283543e-16
relative error = 8.5183919352719123415783000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.588
Order of pole = 3.621
x[1] = -1.208
y[1] (analytic) = 0.40662572216728256909384271066465
y[1] (numeric) = 0.40662572216728222156959580278061
absolute error = 3.4752424690788404e-16
relative error = 8.5465386954767053574656000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.587
Order of pole = 3.621
x[1] = -1.207
y[1] (analytic) = 0.40702542158675604402224149713719
y[1] (numeric) = 0.40702542158675569500881032358579
absolute error = 3.4901343117355140e-16
relative error = 8.5747329936530858353859999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.586
Order of pole = 3.621
x[1] = -1.206
y[1] (analytic) = 0.40742557557011060789525577362783
y[1] (numeric) = 0.40742557557011025738806643997563
absolute error = 3.5050718933365220e-16
relative error = 8.6029746375933197115920000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.585
Order of pole = 3.622
x[1] = -1.205
y[1] (analytic) = 0.40782618448017454960695751470723
y[1] (numeric) = 0.40782618448017419760143421932648
absolute error = 3.5200552329538075e-16
relative error = 8.6312634325835598351875000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 3.622
x[1] = -1.204
y[1] (analytic) = 0.40822724867897662327483164708264
y[1] (numeric) = 0.4082272486789762697663967989935
absolute error = 3.5350843484808914e-16
relative error = 8.6595991813883672677024000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.584
Order of pole = 3.622
x[1] = -1.203
y[1] (analytic) = 0.40862876852773915100835278065748
y[1] (numeric) = 0.40862876852773879599242711859994
absolute error = 3.5501592566205754e-16
relative error = 8.6879816842351817040585999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.583
Order of pole = 3.622
memory used=133.5MB, alloc=4.5MB, time=20.46
x[1] = -1.202
y[1] (analytic) = 0.40903074438687109477896796634822
y[1] (numeric) = 0.40903074438687073825097067909179
absolute error = 3.5652799728725643e-16
relative error = 8.7164107387987366908972000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.582
Order of pole = 3.622
x[1] = -1.201
y[1] (analytic) = 0.40943317661596109729729065784038
y[1] (numeric) = 0.40943317661596073925263950573947
absolute error = 3.5804465115210091e-16
relative error = 8.7448861401854241468491000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 3.622
x[1] = -1.2
y[1] (analytic) = 0.40983606557377049180327868852459
y[1] (numeric) = 0.40983606557377013223739012632781
absolute error = 3.5956588856219678e-16
relative error = 8.7734076809176014320000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.581
Order of pole = 3.622
x[1] = -1.199
y[1] (analytic) = 0.41023941161822628067513920448835
y[1] (numeric) = 0.41023941161822591958342850540962
absolute error = 3.6109171069907873e-16
relative error = 8.8019751509178501132672999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.58
Order of pole = 3.622
x[1] = -1.198
y[1] (analytic) = 0.41064321510641408276267614540712
y[1] (numeric) = 0.41064321510641372014055752646682
absolute error = 3.6262211861894030e-16
relative error = 8.8305883374931789432120000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.579
Order of pole = 3.622
x[1] = -1.197
y[1] (analytic) = 0.41104747639457104935077106340859
y[1] (numeric) = 0.41104747639457068519365781205285
absolute error = 3.6415711325135574e-16
relative error = 8.8592470253191750647366000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.578
Order of pole = 3.622
x[1] = -1.196
y[1] (analytic) = 0.41145219583807874865866584156786
y[1] (numeric) = 0.41145219583807838296197044357414
absolute error = 3.6569669539799372e-16
relative error = 8.8879509964241030498752000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 3.622
x[1] = -1.195
y[1] (analytic) = 0.41185737379145601878069624489039
y[1] (numeric) = 0.41185737379145565153983051356757
absolute error = 3.6724086573132282e-16
relative error = 8.9167000301729509003050000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.577
Order of pole = 3.622
x[1] = -1.194
y[1] (analytic) = 0.41226301060835178897410823388175
y[1] (numeric) = 0.41226301060835142018448344057292
absolute error = 3.6878962479330883e-16
relative error = 8.9454939032514245716588000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.576
Order of pole = 3.622
x[1] = -1.193
y[1] (analytic) = 0.41266910664153786919957462068487
y[1] (numeric) = 0.41266910664153749885660162658105
absolute error = 3.7034297299410382e-16
relative error = 8.9743323896498908771118000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.575
Order of pole = 3.622
x[1] = -1.192
y[1] (analytic) = 0.41307566224290170782001797705282
y[1] (numeric) = 0.41307566224290133591910736632593
absolute error = 3.7190091061072689e-16
relative error = 9.0032152606472674183296000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 3.622
x[1] = -1.191
y[1] (analytic) = 0.41348267776343911736333673905232
y[1] (numeric) = 0.41348267776343874389989895331564
absolute error = 3.7346343778573668e-16
relative error = 9.0321422847948623158308000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.574
Order of pole = 3.621
x[1] = -1.19
y[1] (analytic) = 0.41389015355324696825462522246596
y[1] (numeric) = 0.41389015355324659322407069657044
absolute error = 3.7503055452589552e-16
relative error = 9.0611132279001616587199999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.573
Order of pole = 3.621
x[1] = -1.189
y[1] (analytic) = 0.41429808996151585042347479265416
y[1] (numeric) = 0.41429808996151547382121409182892
absolute error = 3.7660226070082524e-16
relative error = 9.0901278530105659911804000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.572
Order of pole = 3.621
x[1] = -1.188
y[1] (analytic) = 0.41470648733652270269194275059884
y[1] (numeric) = 0.41470648733652232451338670894416
absolute error = 3.7817855604165468e-16
relative error = 9.1191859203970776268991999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.571
Order of pole = 3.621
x[1] = -1.187
y[1] (analytic) = 0.41511534602562340984877763059633
y[1] (numeric) = 0.41511534602562303008933749093769
absolute error = 3.7975944013965864e-16
relative error = 9.1482871875379333434215999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 3.621
x[1] = -1.186
y[1] (analytic) = 0.4155246663752453673154945823894
y[1] (numeric) = 0.41552466637524498597058213750081
absolute error = 3.8134491244488859e-16
relative error = 9.1774314091021910113964000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.57
Order of pole = 3.621
x[1] = -1.185
y[1] (analytic) = 0.41593444873088001330990235938816
y[1] (numeric) = 0.41593444873087963037493009459333
absolute error = 3.8293497226479483e-16
relative error = 9.2066183369332635015675000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.569
Order of pole = 3.621
x[1] = -1.184
y[1] (analytic) = 0.41634469343707532841269418316502
y[1] (numeric) = 0.41634469343707494388307542032485
absolute error = 3.8452961876284017e-16
relative error = 9.2358477200324023935552000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.568
Order of pole = 3.62
x[1] = -1.183
y[1] (analytic) = 0.41675540083742830244272843092842
y[1] (numeric) = 0.41675540083742791631387747382324
absolute error = 3.8612885095710518e-16
relative error = 9.2651193045421335125302000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 3.62
x[1] = -1.182
y[1] (analytic) = 0.41716657127457736854664172566793
y[1] (numeric) = 0.41716657127457698081397400678306
absolute error = 3.8773266771888487e-16
relative error = 9.2944328337296417511387999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.567
Order of pole = 3.62
x[1] = -1.181
y[1] (analytic) = 0.4175782050901948044084566267782
y[1] (numeric) = 0.41757820509019441506738885550137
absolute error = 3.8934106777127683e-16
relative error = 9.3237880479701067268763000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.566
Order of pole = 3.62
x[1] = -1.18
y[1] (analytic) = 0.41799030262497910048486875104498
y[1] (numeric) = 0.41799030262497870953081906328413
absolute error = 3.9095404968776085e-16
relative error = 9.3531846847299905753999999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.565
Order of pole = 3.62
memory used=137.3MB, alloc=4.5MB, time=21.02
x[1] = -1.179
y[1] (analytic) = 0.41840286421864729517192382892176
y[1] (numeric) = 0.41840286421864690260031193815193
absolute error = 3.9257161189076983e-16
relative error = 9.3826224785502741526303000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.564
Order of pole = 3.619
x[1] = -1.178
y[1] (analytic) = 0.41881589020992727680882394822765
y[1] (numeric) = 0.41881589020992688261507129797539
absolute error = 3.9419375265025226e-16
relative error = 9.4121011610296491716584000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 3.619
x[1] = -1.177
y[1] (analytic) = 0.41922938093655005242463408611558
y[1] (numeric) = 0.41922938093654965660416400388969
absolute error = 3.9582047008222589e-16
relative error = 9.4416204608076579996781000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.563
Order of pole = 3.619
x[1] = -1.176
y[1] (analytic) = 0.41964333673524198313369500993715
y[1] (numeric) = 0.41964333673524158568193286261432
absolute error = 3.9745176214732283e-16
relative error = 9.4711801035477876814208000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.562
Order of pole = 3.619
x[1] = -1.175
y[1] (analytic) = 0.42005775794171698608558676818062
y[1] (numeric) = 0.42005775794171658699796011885466
absolute error = 3.9908762664932596e-16
relative error = 9.5007798119205161352500000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.561
Order of pole = 3.618
x[1] = -1.174
y[1] (analytic) = 0.42047264489066870287552832387831
y[1] (numeric) = 0.42047264489066830214746709018169
absolute error = 4.0072806123369662e-16
relative error = 9.5304193055863106262711999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.56
Order of pole = 3.618
x[1] = -1.173
y[1] (analytic) = 0.4208879979157626343211434348417
y[1] (numeric) = 0.42088799791576223194808004874815
absolute error = 4.0237306338609355e-16
relative error = 9.5600983011785786215794999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 3.618
x[1] = -1.172
y[1] (analytic) = 0.42130381734962824151157068803969
y[1] (numeric) = 0.42130381734962783748894025715652
absolute error = 4.0402263043088317e-16
relative error = 9.5898165122865739818128000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.559
Order of pole = 3.617
x[1] = -1.171
y[1] (analytic) = 0.42172010352385101303494667981871
y[1] (numeric) = 0.42172010352385060735818715017771
absolute error = 4.0567675952964100e-16
relative error = 9.6195736494382545448100000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.558
Order of pole = 3.617
x[1] = -1.17
y[1] (analytic) = 0.42213685676896449829034573008569
y[1] (numeric) = 0.42213685676896409095489805044137
absolute error = 4.0733544767964432e-16
relative error = 9.6493694200830942964800000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.557
Order of pole = 3.617
x[1] = -1.169
y[1] (analytic) = 0.42255407741444230679031725782686
y[1] (numeric) = 0.4225540774144418977916255454708
absolute error = 4.0899869171235606e-16
relative error = 9.6792035285748506970966000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 3.616
x[1] = -1.168
y[1] (analytic) = 0.42297176578869007336022305839041
y[1] (numeric) = 0.42297176578868966269373476649061
absolute error = 4.1066648829189980e-16
relative error = 9.7090756761542851275519999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.556
Order of pole = 3.616
x[1] = -1.167
y[1] (analytic) = 0.4233899222190373891406412409728
y[1] (numeric) = 0.42338992221903697680180732744686
absolute error = 4.1233883391352594e-16
relative error = 9.7389855609318386890065999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.555
Order of pole = 3.616
x[1] = -1.166
y[1] (analytic) = 0.42380854703172969829917153905226
y[1] (numeric) = 0.42380854703172928428344663698321
absolute error = 4.1401572490206905e-16
relative error = 9.7689328778702643934180000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.554
Order of pole = 3.615
x[1] = -1.165
y[1] (analytic) = 0.42422764055192016035804812862582
y[1] (numeric) = 0.42422764055191974466089071822954
absolute error = 4.1569715741039628e-16
relative error = 9.7989173187672137112300000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.553
Order of pole = 3.615
x[1] = -1.164
y[1] (analytic) = 0.42464720310366147804404101072829
y[1] (numeric) = 0.42464720310366106066091359288146
absolute error = 4.1738312741784683e-16
relative error = 9.8289385722377782857967999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 3.615
x[1] = -1.163
y[1] (analytic) = 0.42506723500989769056720546772486
y[1] (numeric) = 0.42506723500989727149357473906227
absolute error = 4.1907363072866259e-16
relative error = 9.8589963236969902069370999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.552
Order of pole = 3.614
x[1] = -1.162
y[1] (analytic) = 0.4254877365924559322351211193391
y[1] (numeric) = 0.42548773659245551146645814892932
absolute error = 4.2076866297040978e-16
relative error = 9.8890902553422776298632000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.551
Order of pole = 3.614
x[1] = -1.161
y[1] (analytic) = 0.42590870817203815630934771655435
y[1] (numeric) = 0.42590870817203773384112812416273
absolute error = 4.2246821959239162e-16
relative error = 9.9192200461358772482201999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.55
Order of pole = 3.613
x[1] = -1.16
y[1] (analytic) = 0.42633015006821282401091405184175
y[1] (numeric) = 0.42633015006821239983861818778971
absolute error = 4.2417229586405204e-16
relative error = 9.9493853717872046502399999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.549
Order of pole = 3.613
x[1] = -1.159
y[1] (analytic) = 0.42675206259940655858174926523964
y[1] (numeric) = 0.42675206259940613270086239186925
absolute error = 4.2588088687337039e-16
relative error = 9.9795859047351824084958999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 3.612
x[1] = -1.158
y[1] (analytic) = 0.42717444608289576430906242043876
y[1] (numeric) = 0.42717444608289533671507489519162
absolute error = 4.2759398752524714e-16
relative error = 1.0009821314130526458429600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.548
Order of pole = 3.612
x[1] = -1.157
y[1] (analytic) = 0.42759730083479821041977654620253
y[1] (numeric) = 0.42759730083479778110818400632197
absolute error = 4.2931159253988056e-16
relative error = 1.0040091265817991317634400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.547
Order of pole = 3.612
x[1] = -1.156
y[1] (analytic) = 0.42802062717006457975222741934379
y[1] (numeric) = 0.42802062717006414871853096820947
absolute error = 4.3103369645113432e-16
relative error = 1.0070395422318573526515200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.5MB, time=21.62
Complex estimate of poles used
Radius of convergence = 1.546
Order of pole = 3.611
x[1] = -1.155
y[1] (analytic) = 0.42844442540246998211244523944688
y[1] (numeric) = 0.42844442540246954935215163455079
absolute error = 4.3276029360489609e-16
relative error = 1.0100733442811675964622500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 3.611
x[1] = -1.154
y[1] (analytic) = 0.42886869584460543222244904611025
y[1] (numeric) = 0.42886869584460499773107088868327
absolute error = 4.3449137815742698e-16
relative error = 1.0131104983117230080976800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.545
Order of pole = 3.61
x[1] = -1.153
y[1] (analytic) = 0.42929343880786929216809929042087
y[1] (numeric) = 0.42929343880786885594115521671889
absolute error = 4.3622694407370198e-16
relative error = 1.0161509695677780555298200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.544
Order of pole = 3.61
x[1] = -1.152
y[1] (analytic) = 0.4297186546024586782541734275735
y[1] (numeric) = 0.42971865460245824028718830183224
absolute error = 4.3796698512574126e-16
relative error = 1.0191947229540529891110400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.543
Order of pole = 3.609
x[1] = -1.151
y[1] (analytic) = 0.43014434353736083217445278111976
y[1] (numeric) = 0.43014434353736039246295789018746
absolute error = 4.3971149489093230e-16
relative error = 1.0222417230339343019723000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.542
Order of pole = 3.609
x[1] = -1.15
y[1] (analytic) = 0.43057050592034445640473627556512
y[1] (numeric) = 0.43057050592034401494426952522213
absolute error = 4.4146046675034299e-16
relative error = 1.0252919340276715942750000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 3.608
x[1] = -1.149
y[1] (analytic) = 0.43099714205795101372682797740368
y[1] (numeric) = 0.43099714205795057051293409037818
absolute error = 4.4321389388702550e-16
relative error = 1.0283453198105704521255000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.541
Order of pole = 3.608
x[1] = -1.148
y[1] (analytic) = 0.43142425225548599079168075985891
y[1] (numeric) = 0.43142425225548554581991147554787
absolute error = 4.4497176928431104e-16
relative error = 1.0314018439111816968601600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.54
Order of pole = 3.607
x[1] = -1.147
y[1] (analytic) = 0.43185183681701012563001784843642
y[1] (numeric) = 0.431851836817009678895932124341
absolute error = 4.4673408572409542e-16
relative error = 1.0344614695094868714107800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.539
Order of pole = 3.607
x[1] = -1.146
y[1] (analytic) = 0.43227989604533059901889754793552
y[1] (numeric) = 0.43227989604533015051806176282007
absolute error = 4.4850083578511545e-16
relative error = 1.0375241594350801323322000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.538
Order of pole = 3.606
x[1] = -1.145
y[1] (analytic) = 0.43270843024199218961283413204098
y[1] (numeric) = 0.4327084302419917393408222908248
absolute error = 4.5027201184121618e-16
relative error = 1.0405898761653466223845000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 3.606
x[1] = -1.144
y[1] (analytic) = 0.43313743970726839274823972944503
y[1] (numeric) = 0.43313743970726794070063366983617
absolute error = 4.5204760605960886e-16
relative error = 1.0436585818236371210009600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.537
Order of pole = 3.605
x[1] = -1.143
y[1] (analytic) = 0.43356692474015250283010810124135
y[1] (numeric) = 0.43356692474015204900249770212161
absolute error = 4.5382761039911974e-16
relative error = 1.0467302381774393252032600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.536
Order of pole = 3.605
x[1] = -1.142
y[1] (analytic) = 0.43399688563834865921002150888565
y[1] (numeric) = 0.43399688563834820359800490045602
absolute error = 4.5561201660842963e-16
relative error = 1.0498048066365456499793200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.535
Order of pole = 3.604
x[1] = -1.141
y[1] (analytic) = 0.43442732269826285546472645631985
y[1] (numeric) = 0.43442732269826239806391023201557
absolute error = 4.5740081622430428e-16
relative error = 1.0528822482512177603506800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 3.603
x[1] = -1.14
y[1] (analytic) = 0.43485823621499391198469299008523
y[1] (numeric) = 0.43485823621499345279069242026979
absolute error = 4.5919400056981544e-16
relative error = 1.0559625237103475858240000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.534
Order of pole = 3.603
x[1] = -1.139
y[1] (analytic) = 0.43528962648232441178224549377296
y[1] (numeric) = 0.43528962648232395079068474122026
absolute error = 4.6099156075255270e-16
relative error = 1.0590455933396151213167000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.533
Order of pole = 3.602
x[1] = -1.138
y[1] (analytic) = 0.43572149379271159942903055453403
y[1] (numeric) = 0.4357214937927111366355428917079
absolute error = 4.6279348766282613e-16
relative error = 1.0621314170996431326997200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.532
Order of pole = 3.602
x[1] = -1.137
y[1] (analytic) = 0.43615383843727824303276954634331
y[1] (numeric) = 0.43615383843727777843299757448375
absolute error = 4.6459977197185956e-16
relative error = 1.0652199545841484715216400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.531
Order of pole = 3.601
x[1] = -1.136
y[1] (analytic) = 0.43658666070580345916343010422197
y[1] (numeric) = 0.43658666070580299275302597424728
absolute error = 4.6641040412997469e-16
relative error = 1.0683111650180905075462400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 3.601
x[1] = -1.135
y[1] (analytic) = 0.43701996088671350063914169279682
y[1] (numeric) = 0.43701996088671303241376732803097
absolute error = 4.6822537436476585e-16
relative error = 1.0714050072558163371162500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.53
Order of pole = 3.6
x[1] = -1.134
y[1] (analytic) = 0.4374537392670725070823760387339
y[1] (numeric) = 0.43745373926707203703770335946838
absolute error = 4.7004467267926552e-16
relative error = 1.0745014397792030910371200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.529
Order of pole = 3.6
x[1] = -1.133
y[1] (analytic) = 0.43788799613257321815711333723638
y[1] (numeric) = 0.43788799613257274628882448713581
absolute error = 4.7186828885010057e-16
relative error = 1.0776004206957973206027300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.5MB, time=22.20
Complex estimate of poles used
Radius of convergence = 1.528
Order of pole = 3.599
x[1] = -1.132
y[1] (analytic) = 0.43832273176752764939791989564412
y[1] (numeric) = 0.438322731767527175701707470005
absolute error = 4.7369621242563912e-16
relative error = 1.0807019077369513037068800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.527
Order of pole = 3.598
x[1] = -1.131
y[1] (analytic) = 0.43875794645485773054207228010658
y[1] (numeric) = 0.43875794645485725501363955597828
absolute error = 4.7552843272412830e-16
relative error = 1.0838058582559569803563000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 3.598
x[1] = -1.13
y[1] (analytic) = 0.43919364047608590627607712240327
y[1] (numeric) = 0.43919364047608542891113829058077
absolute error = 4.7736493883182250e-16
relative error = 1.0869122292261766502500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.526
Order of pole = 3.597
x[1] = -1.129
y[1] (analytic) = 0.43962981411132569930815456153301
y[1] (numeric) = 0.43962981411132522010243496043057
absolute error = 4.7920571960110244e-16
relative error = 1.0900209772391712552240400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.525
Order of pole = 3.597
x[1] = -1.128
y[1] (analytic) = 0.44006646763927223567847687714752
y[1] (numeric) = 0.4400664676392717546277132285626
absolute error = 4.8105076364858492e-16
relative error = 1.0931320585028259948492800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.524
Order of pole = 3.596
x[1] = -1.127
y[1] (analytic) = 0.44050360133719273221918225792455
y[1] (numeric) = 0.44050360133719224931912290470124
absolute error = 4.8290005935322331e-16
relative error = 1.0962454288394734795069900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 3.596
x[1] = -1.126
y[1] (analytic) = 0.4409412154809169460764168764077
y[1] (numeric) = 0.44094121548091646132282202200912
absolute error = 4.8475359485439858e-16
relative error = 1.0993610436840140340160800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.523
Order of pole = 3.595
x[1] = -1.125
y[1] (analytic) = 0.44137931034482758620689655172414
y[1] (numeric) = 0.44137931034482709959553850172287
absolute error = 4.8661135805000127e-16
relative error = 1.1024788580820341273437500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.522
Order of pole = 3.594
x[1] = -1.124
y[1] (analytic) = 0.44181788620185068676172231215671
y[1] (numeric) = 0.4418178862018501982883857176528
absolute error = 4.8847333659450391e-16
relative error = 1.1055988266879218818001600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.521
Order of pole = 3.594
x[1] = -1.123
y[1] (analytic) = 0.44225694332344594227043216021731
y[1] (numeric) = 0.44225694332344545193091426319298
absolute error = 4.9033951789702433e-16
relative error = 1.1087209037629807262685700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.52
Order of pole = 3.593
x[1] = -1.122
y[1] (analytic) = 0.44269648197959700453852433325483
y[1] (numeric) = 0.44269648197959651232863521387525
absolute error = 4.9220988911937958e-16
relative error = 1.1118450431735406231887200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 3.593
x[1] = -1.121
y[1] (analytic) = 0.4431365024388017411719453825398
y[1] (numeric) = 0.44313650243880124708750820840924
absolute error = 4.9408443717413056e-16
relative error = 1.1149711983890671610489600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.519
Order of pole = 3.592
x[1] = -1.12
y[1] (analytic) = 0.44357700496806245564229950319375
y[1] (numeric) = 0.44357700496806195967915078057638
absolute error = 4.9596314872261737e-16
relative error = 1.1180993224802685989280000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.518
Order of pole = 3.592
x[1] = -1.119
y[1] (analytic) = 0.44401798983287606880680377646181
y[1] (numeric) = 0.44401798983287557096079360347642
absolute error = 4.9784601017298539e-16
relative error = 1.1212293681172009489277900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.517
Order of pole = 3.591
x[1] = -1.118
y[1] (analytic) = 0.44445945729722426179728737504022
y[1] (numeric) = 0.44445945729722376206427969683821
absolute error = 4.9973300767820201e-16
relative error = 1.1243612875673709791472400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.516
Order of pole = 3.591
x[1] = -1.117
y[1] (analytic) = 0.4449014076235635801928113720359
y[1] (numeric) = 0.4449014076235630785686842379717
absolute error = 5.0162412713406420e-16
relative error = 1.1274950326938376276338000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 3.59
x[1] = -1.116
y[1] (analytic) = 0.44534384107281549939076962541239
y[1] (numeric) = 0.44534384107281499587141544821575
absolute error = 5.0351935417719664e-16
relative error = 1.1306305549533112584678400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.515
Order of pole = 3.589
x[1] = -1.115
y[1] (analytic) = 0.44578675790435645109162032341829
y[1] (numeric) = 0.44578675790435594567294614037754
absolute error = 5.0541867418304075e-16
relative error = 1.1337678053942515864187500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.514
Order of pole = 3.589
x[1] = -1.114
y[1] (analytic) = 0.44623015837600781081269221364072
y[1] (numeric) = 0.44623015837600730349061994980634
absolute error = 5.0732207226383438e-16
relative error = 1.1369067346549637902424800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.513
Order of pole = 3.588
x[1] = -1.113
y[1] (analytic) = 0.44667404274402584634680934031157
y[1] (numeric) = 0.44667404274402533711727607372936
absolute error = 5.0922953326658221e-16
relative error = 1.1400472929616929876994900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 3.588
x[1] = -1.112
y[1] (analytic) = 0.44711841126309162708178332284095
y[1] (numeric) = 0.44711841126309111594074155182392
absolute error = 5.1114104177101703e-16
relative error = 1.1431894301267175123443200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.512
Order of pole = 3.587
x[1] = -1.111
y[1] (analytic) = 0.4475632641863008940971328649733
y[1] (numeric) = 0.44756326418630038104055077742163
absolute error = 5.1305658208755167e-16
relative error = 1.1463330955464405348660700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.511
Order of pole = 3.587
x[1] = -1.11
y[1] (analytic) = 0.44800860176515389095470633036154
y[1] (numeric) = 0.4480086017651533759785680751398
absolute error = 5.1497613825522174e-16
relative error = 1.1494782381994804458540000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.5MB, time=22.77
Complex estimate of poles used
Radius of convergence = 1.51
Order of pole = 3.586
x[1] = -1.109
y[1] (analytic) = 0.44845442424954515510020489882644
y[1] (numeric) = 0.44845442424954463820051085920719
absolute error = 5.1689969403961925e-16
relative error = 1.1526248066447602128092500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.509
Order of pole = 3.586
x[1] = -1.108
y[1] (analytic) = 0.44890073188775326979293107039482
y[1] (numeric) = 0.44890073188775275096569813957794
absolute error = 5.1882723293081688e-16
relative error = 1.1557727490195952541683200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 3.585
x[1] = -1.107
y[1] (analytic) = 0.44934752492643057648142015386558
y[1] (numeric) = 0.4493475249264300557226820125824
absolute error = 5.2075873814128318e-16
relative error = 1.1589220130377805116478200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.508
Order of pole = 3.585
x[1] = -1.106
y[1] (analytic) = 0.44979480361059284754295090579678
y[1] (numeric) = 0.4497948036105923248487583020082
absolute error = 5.2269419260378858e-16
relative error = 1.1620725459876765074448800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.507
Order of pole = 3.584
x[1] = -1.105
y[1] (analytic) = 0.45024256818360891930527571729269
y[1] (numeric) = 0.45024256818360839467169674799049
absolute error = 5.2463357896930220e-16
relative error = 1.1652242947302944187550000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.506
Order of pole = 3.584
x[1] = -1.104
y[1] (analytic) = 0.45069081888719028526926072283596
y[1] (numeric) = 0.45069081888718975869238111795638
absolute error = 5.2657687960487958e-16
relative error = 1.1683772056973804901772800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 3.583
x[1] = -1.103
y[1] (analytic) = 0.45113955596138064945148197088436
y[1] (numeric) = 0.45113955596138012092740537934312
absolute error = 5.2852407659154124e-16
relative error = 1.1715312248894996364551600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.505
Order of pole = 3.583
x[1] = -1.102
y[1] (analytic) = 0.45158877964454543976618539345124
y[1] (numeric) = 0.45158877964454490929103367130913
absolute error = 5.3047515172214211e-16
relative error = 1.1746862978741183769524400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.504
Order of pole = 3.582
x[1] = -1.101
y[1] (analytic) = 0.45203849017336128136638578501682
y[1] (numeric) = 0.45203849017336074893629928578483
absolute error = 5.3243008649923199e-16
relative error = 1.1778423697836875075099900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.503
Order of pole = 3.582
x[1] = -1.1
y[1] (analytic) = 0.45248868778280542986425339366516
y[1] (numeric) = 0.45248868778280489547539126075835
absolute error = 5.3438886213290681e-16
relative error = 1.1809993853137240501000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 3.581
x[1] = -1.099
y[1] (analytic) = 0.4529393727061451643513160832883
y[1] (numeric) = 0.45293937270614462799985654463744
absolute error = 5.3635145953865086e-16
relative error = 1.1841572887208929073588600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.502
Order of pole = 3.581
x[1] = -1.098
y[1] (analytic) = 0.45339054517492714013939038920858
y[1] (numeric) = 0.45339054517492660182153105403847
absolute error = 5.3831785933517011e-16
relative error = 1.1873160238210885352964400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.501
Order of pole = 3.58
x[1] = -1.097
y[1] (analytic) = 0.45384220541896670114354620499417
y[1] (numeric) = 0.45384220541896616085550436277785
absolute error = 5.4028804184221632e-16
relative error = 1.1904755339875160194348800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.5
Order of pole = 3.58
x[1] = -1.096
y[1] (analytic) = 0.45429435366633715182880735011921
y[1] (numeric) = 0.45429435366633660956682027171683
absolute error = 5.4226198707840238e-16
relative error = 1.1936357621487725732940800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.499
Order of pole = 3.58
x[1] = -1.095
y[1] (analytic) = 0.45474699014335898864269392116961
y[1] (numeric) = 0.45474699014335844440301916216111
absolute error = 5.4423967475900850e-16
relative error = 1.1967966507869286667125000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 3.579
x[1] = -1.094
y[1] (analytic) = 0.45520011507458909085612216842768
y[1] (numeric) = 0.45520011507458854463503787464806
absolute error = 5.4622108429377962e-16
relative error = 1.1999581419356096452823200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.498
Order of pole = 3.579
x[1] = -1.093
y[1] (analytic) = 0.45565372868280987073559370997367
y[1] (numeric) = 0.45565372868280932252939892525989
absolute error = 5.4820619478471378e-16
relative error = 1.2031201771780773125632200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.497
Order of pole = 3.578
x[1] = -1.092
y[1] (analytic) = 0.45610783118901838297002824219691
y[1] (numeric) = 0.45610783118901783277504321835524
absolute error = 5.5019498502384167e-16
relative error = 1.2062826976453120031748800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.496
Order of pole = 3.578
x[1] = -1.091
y[1] (analytic) = 0.45656242281241539327602257427243
y[1] (numeric) = 0.4565624228124148410885890832751
absolute error = 5.5218743349099733e-16
relative error = 1.2094456440140951229497300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 3.578
x[1] = -1.09
y[1] (analytic) = 0.45701750377039440610575385037247
y[1] (numeric) = 0.45701750377039385192223549879247
absolute error = 5.5418351835158000e-16
relative error = 1.2126089565050921980000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.495
Order of pole = 3.577
x[1] = -1.089
y[1] (analytic) = 0.45747307427853065138218627297144
y[1] (numeric) = 0.45747307427853009519896881866432
absolute error = 5.5618321745430712e-16
relative error = 1.2157725748809364740575200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.494
Order of pole = 3.577
x[1] = -1.088
y[1] (analytic) = 0.45792913455057003018668854957358
y[1] (numeric) = 0.45792913455056947200018022061491
absolute error = 5.5818650832895867e-16
relative error = 1.2189364384443135218604800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.493
Order of pole = 3.576
x[1] = -1.087
y[1] (analytic) = 0.45838568479841801932462369973171
y[1] (numeric) = 0.45838568479841745913125551561905
absolute error = 5.6019336818411266e-16
relative error = 1.2221004860360464715635400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 3.576
memory used=152.5MB, alloc=4.5MB, time=23.35
x[1] = -1.086
y[1] (analytic) = 0.45884272523212853469493382570217
y[1] (numeric) = 0.45884272523212797249115992083017
absolute error = 5.6220377390487200e-16
relative error = 1.2252646560331824173120000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.492
Order of pole = 3.576
x[1] = -1.085
y[1] (analytic) = 0.45930025605989275339021001504208
y[1] (numeric) = 0.45930025605989218917250796445946
absolute error = 5.6421770205058262e-16
relative error = 1.2284288863470797448295000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.491
Order of pole = 3.575
x[1] = -1.084
y[1] (analytic) = 0.45975827748802789445421175362841
y[1] (numeric) = 0.45975827748802732821908290108539
absolute error = 5.6623512885254302e-16
relative error = 1.2315931144214968109091200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.49
Order of pole = 3.575
x[1] = -1.083
y[1] (analytic) = 0.46021678972096595822428112986904
y[1] (numeric) = 0.46021678972096538996825091816388
absolute error = 5.6825603021170516e-16
relative error = 1.2347572772306818134072400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 3.575
x[1] = -1.082
y[1] (analytic) = 0.46067579296124242418658475236833
y[1] (numeric) = 0.46067579296124185390620305600153
absolute error = 5.7028038169636680e-16
relative error = 1.2379213112774641255632000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.489
Order of pole = 3.575
x[1] = -1.081
y[1] (analytic) = 0.46113528740948490727261073126373
y[1] (numeric) = 0.46113528740948433496445219140837
absolute error = 5.7230815853985536e-16
relative error = 1.2410851525913472793369600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.488
Order of pole = 3.574
x[1] = -1.08
y[1] (analytic) = 0.46159527326440177252584933530281
y[1] (numeric) = 0.46159527326440119818651369709962
absolute error = 5.7433933563820319e-16
relative error = 1.2442487367266033908160000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.487
Order of pole = 3.574
x[1] = -1.079
y[1] (analytic) = 0.46205575072277070806809408009552
y[1] (numeric) = 0.46205575072277013169420653228105
absolute error = 5.7637388754781447e-16
relative error = 1.2474119987603695363672700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 3.574
x[1] = -1.078
y[1] (analytic) = 0.46251671997942725629531507563998
y[1] (numeric) = 0.4625167199794266778835265925163
absolute error = 5.7841178848312368e-16
relative error = 1.2505748732907459785491200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.486
Order of pole = 3.574
x[1] = -1.077
y[1] (analytic) = 0.46297818122725330323357851114551
y[1] (numeric) = 0.46297818122725272278056619689978
absolute error = 5.8045301231424573e-16
relative error = 1.2537372944348964653531700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.485
Order of pole = 3.573
x[1] = -1.076
y[1] (analytic) = 0.46344013465716552598601523049659
y[1] (numeric) = 0.46344013465716494348848266587897
absolute error = 5.8249753256461762e-16
relative error = 1.2568991958271503496131200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.484
Order of pole = 3.573
x[1] = -1.075
y[1] (analytic) = 0.46390258045810379820237750072485
y[1] (numeric) = 0.46390258045810321365705509209279
absolute error = 5.8454532240863206e-16
relative error = 1.2600605106171074843375000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 3.573
x[1] = -1.074
y[1] (analytic) = 0.46436551881701955350326634705936
y[1] (numeric) = 0.4643655188170189669069116777967
absolute error = 5.8659635466926266e-16
relative error = 1.2632211714677450760061600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.483
Order of pole = 3.573
x[1] = -1.073
y[1] (analytic) = 0.46482894991886410679166227015952
y[1] (numeric) = 0.46482894991886351814106045447849
absolute error = 5.8865060181568103e-16
relative error = 1.2663811105535272545888700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.482
Order of pole = 3.573
x[1] = -1.072
y[1] (analytic) = 0.46529287394657693338494982281647
y[1] (numeric) = 0.46529287394657634267691386195079
absolute error = 5.9070803596086568e-16
relative error = 1.2695402595585171456051200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.481
Order of pole = 3.572
x[1] = -1.071
y[1] (analytic) = 0.46575729108107390590119145372631
y[1] (numeric) = 0.4657572910810733131325625945234
absolute error = 5.9276862885920291e-16
relative error = 1.2726985496744918750893100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 3.572
x[1] = -1.07
y[1] (analytic) = 0.46622220150123548883397827404541
y[1] (numeric) = 0.46622220150123489400162636996584
absolute error = 5.9483235190407957e-16
relative error = 1.2758559115990602696930000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.48
Order of pole = 3.572
x[1] = -1.069
y[1] (analytic) = 0.46668760538389489075076501765713
y[1] (numeric) = 0.46668760538389429385158889218923
absolute error = 5.9689917612546790e-16
relative error = 1.2790122755337837228719000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.479
Order of pole = 3.572
x[1] = -1.068
y[1] (analytic) = 0.46715350290382617405018349789594
y[1] (numeric) = 0.46715350290382557508111131039354
absolute error = 5.9896907218750240e-16
relative error = 1.2821675711823001374976000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.478
Order of pole = 3.572
x[1] = -1.067
y[1] (analytic) = 0.46761989423373232221442336154172
y[1] (numeric) = 0.46761989423373172117241297549287
absolute error = 6.0104201038604885e-16
relative error = 1.2853217277484512191876500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 3.572
x[1] = -1.066
y[1] (analytic) = 0.46808677954423326449337095502809
y[1] (numeric) = 0.46808677954423266137541030876262
absolute error = 6.0311796064626547e-16
relative error = 1.2884746739344131144273200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.477
Order of pole = 3.572
x[1] = -1.065
y[1] (analytic) = 0.4685541590038538579578066979817
y[1] (numeric) = 0.46855415900385325276091417782537
absolute error = 6.0519689252015633e-16
relative error = 1.2916263379388306433942500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.476
Order of pole = 3.572
x[1] = -1.064
y[1] (analytic) = 0.46902203277901182685957855556223
y[1] (numeric) = 0.46902203277901121958080337144516
absolute error = 6.0727877518411707e-16
relative error = 1.2947766474549552684787200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.475
Order of pole = 3.572
memory used=156.4MB, alloc=4.5MB, time=23.94
x[1] = -1.063
y[1] (analytic) = 0.46949040103400565923729406390422
y[1] (numeric) = 0.46949040103400504987371662743131
absolute error = 6.0936357743647291e-16
relative error = 1.2979255296687867676397900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 3.572
x[1] = -1.062
y[1] (analytic) = 0.46995926393100246070670594272888
y[1] (numeric) = 0.46995926393100184925543824771972
absolute error = 6.1145126769500916e-16
relative error = 1.3010729112572190710510400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.474
Order of pole = 3.572
x[1] = -1.061
y[1] (analytic) = 0.47042862163002576537560667651117
y[1] (numeric) = 0.47042862163002515183379268201701
absolute error = 6.1354181399449416e-16
relative error = 1.3042187183861901202893600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.473
Order of pole = 3.572
x[1] = -1.06
y[1] (analytic) = 0.47089847428894330382369561122622
y[1] (numeric) = 0.47089847428894268818851162703153
absolute error = 6.1563518398419469e-16
relative error = 1.3073628767088358436840000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.472
Order of pole = 3.572
x[1] = -1.059
y[1] (analytic) = 0.47136882206345472808853814858582
y[1] (numeric) = 0.47136882206345411035719322320171
absolute error = 6.1773134492538411e-16
relative error = 1.3105053113636488070669100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 3.572
x[1] = -1.058
y[1] (analytic) = 0.47183966510707929359940057488945
y[1] (numeric) = 0.47183966510707867376913688604638
absolute error = 6.1983026368884307e-16
relative error = 1.3136459469726412042074800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.471
Order of pole = 3.572
x[1] = -1.057
y[1] (analytic) = 0.47231100357114349800141598838871
y[1] (numeric) = 0.47231100357114287606950923603572
absolute error = 6.2193190675235299e-16
relative error = 1.3167847076395126157245100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.47
Order of pole = 3.572
x[1] = -1.056
y[1] (analytic) = 0.47278283760476867681321673878181
y[1] (numeric) = 0.47278283760476805277697654059945
absolute error = 6.2403624019818236e-16
relative error = 1.3199215169478226442009600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.469
Order of pole = 3.572
x[1] = -1.055
y[1] (analytic) = 0.47325516735485855586185681664912
y[1] (numeric) = 0.4732551673548579297186271060832
absolute error = 6.2614322971056592e-16
relative error = 1.3230562979591685531080000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 3.572
x[1] = -1.054
y[1] (analytic) = 0.47372799296608676043954378099365
y[1] (numeric) = 0.47372799296608613218670320781695
absolute error = 6.2825284057317670e-16
relative error = 1.3261889732113678668572000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.468
Order of pole = 3.572
x[1] = -1.053
y[1] (analytic) = 0.47420131458088428112740414138976
y[1] (numeric) = 0.47420131458088365076236647479851
absolute error = 6.3036503766659125e-16
relative error = 1.3293194647166466273212500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.467
Order of pole = 3.572
x[1] = -1.052
y[1] (analytic) = 0.47467513233942689623221866954256
y[1] (numeric) = 0.47467513233942626375243320379478
absolute error = 6.3247978546574778e-16
relative error = 1.3324476939598327111171200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 3.572
x[1] = -1.051
y[1] (analytic) = 0.47514944637962255078278495543811
y[1] (numeric) = 0.47514944637962191618573691804049
absolute error = 6.3459704803739762e-16
relative error = 1.3355735818965550684496200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.466
Order of pole = 3.572
x[1] = -1.05
y[1] (analytic) = 0.4756242568370986920332936979786
y[1] (numeric) = 0.47562425683709805531650466042876
absolute error = 6.3671678903754984e-16
relative error = 1.3386970489514485386000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.465
Order of pole = 3.572
x[1] = -1.049
y[1] (analytic) = 0.47609956384518956142184278144983
y[1] (numeric) = 0.47609956384518892258287107254057
absolute error = 6.3883897170890926e-16
relative error = 1.3418180150163647186132600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.464
Order of pole = 3.573
x[1] = -1.048
y[1] (analytic) = 0.47657536753492344293295918989813
y[1] (numeric) = 0.47657536753492280196940031159028
absolute error = 6.4096355887830785e-16
relative error = 1.3449363994485888748864000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 3.573
x[1] = -1.047
y[1] (analytic) = 0.47705166803500986781375330417912
y[1] (numeric) = 0.47705166803500922472324035004954
absolute error = 6.4309051295412958e-16
relative error = 1.3480521210690630127622200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.463
Order of pole = 3.573
x[1] = -1.046
y[1] (analytic) = 0.4775284654718267755940931638935
y[1] (numeric) = 0.47752846547182613037429724016456
absolute error = 6.4521979592372894e-16
relative error = 1.3511650981606155529170400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.462
Order of pole = 3.573
x[1] = -1.045
y[1] (analytic) = 0.47800575996940763136195791159283
y[1] (numeric) = 0.47800575996940698401058856074976
absolute error = 6.4735136935084307e-16
relative error = 1.3542752484661974735167500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.461
Order of pole = 3.573
x[1] = -1.044
y[1] (analytic) = 0.4784835516494284992459099226005
y[1] (numeric) = 0.47848355164942784976071554960287
absolute error = 6.4948519437299763e-16
relative error = 1.3573824891871251748516800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 3.574
x[1] = -1.043
y[1] (analytic) = 0.47896184063119507205741411376014
y[1] (numeric) = 0.47896184063119442043618241485362
absolute error = 6.5162123169890652e-16
relative error = 1.3604867369813302788754800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.46
Order of pole = 3.574
x[1] = -1.042
y[1] (analytic) = 0.47944062703162965704653067173467
y[1] (numeric) = 0.47944062703162900328708906586909
absolute error = 6.5375944160586558e-16
relative error = 1.3635879079616166156031200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.459
Order of pole = 3.574
x[1] = -1.041
y[1] (analytic) = 0.47991991096525811772531399959975
y[1] (numeric) = 0.47991991096525746182553006245947
absolute error = 6.5589978393714028e-16
relative error = 1.3666859176939243957706800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 3.574
x[1] = -1.04
y[1] (analytic) = 0.48039969254419677171406610299769
y[1] (numeric) = 0.48039969254419611367184800365024
absolute error = 6.5804221809934745e-16
relative error = 1.3697806811956016519200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.5MB, time=24.51
Complex estimate of poles used
Radius of convergence = 1.458
Order of pole = 3.575
x[1] = -1.039
y[1] (analytic) = 0.48087997187813924456641697775594
y[1] (numeric) = 0.48087997187813858437971391792453
absolute error = 6.6018670305983141e-16
relative error = 1.3728721129336836735546100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.457
Order of pole = 3.575
x[1] = -1.038
y[1] (analytic) = 0.48136074907434327953003787346374
y[1] (numeric) = 0.48136074907434261719684052942954
absolute error = 6.6233319734403420e-16
relative error = 1.3759601268231797845848000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.456
Order of pole = 3.575
x[1] = -1.037
y[1] (analytic) = 0.48184202423761750320063564599837
y[1] (numeric) = 0.48184202423761683871897661313797
absolute error = 6.6448165903286040e-16
relative error = 1.3790446362253684554876000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 3.576
x[1] = -1.036
y[1] (analytic) = 0.48232379747030814702772783046897
y[1] (numeric) = 0.48232379747030748039568207043262
absolute error = 6.6663204576003635e-16
relative error = 1.3821255539461003243096000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.455
Order of pole = 3.576
x[1] = -1.035
y[1] (analytic) = 0.48280606887228572463155861869184
y[1] (numeric) = 0.48280606887228505584724390922785
absolute error = 6.6878431470946399e-16
relative error = 1.3852027922341095526877500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.454
Order of pole = 3.576
x[1] = -1.034
y[1] (analytic) = 0.48328883854093166489138566642631
y[1] (numeric) = 0.48328883854093099395296305385684
absolute error = 6.7093842261256947e-16
relative error = 1.3882762627793337942673200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 3.577
x[1] = -1.033
y[1] (analytic) = 0.483772106571124900766246639598
y[1] (numeric) = 0.48377210657112422767192089395143
absolute error = 6.7309432574564657e-16
relative error = 1.3913458767112428227347300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.453
Order of pole = 3.577
x[1] = -1.032
y[1] (analytic) = 0.48425587305522841381020269013823
y[1] (numeric) = 0.48425587305522773855822276294321
absolute error = 6.7525197992719502e-16
relative error = 1.3944115445971759689804800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.452
Order of pole = 3.578
x[1] = -1.031
y[1] (analytic) = 0.48474013808307573434495368550351
y[1] (numeric) = 0.48474013808307505693361317024965
absolute error = 6.7741134051525386e-16
relative error = 1.3974731764406886182794600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 3.578
x[1] = -1.03
y[1] (analytic) = 0.48522490174195739725362705614052
y[1] (numeric) = 0.48522490174195671768126465141051
absolute error = 6.7957236240473001e-16
relative error = 1.4005306816799080776090000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.451
Order of pole = 3.578
x[1] = -1.029
y[1] (analytic) = 0.48571016411660735336045862696537
y[1] (numeric) = 0.48571016411660667162545860224331
absolute error = 6.8173500002472206e-16
relative error = 1.4035839691858987907324600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.45
Order of pole = 3.579
x[1] = -1.028
y[1] (analytic) = 0.48619592528918933636200981726812
y[1] (numeric) = 0.48619592528918865246280248142873
absolute error = 6.8389920733583939e-16
relative error = 1.4066329472610370839217600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.449
Order of pole = 3.579
x[1] = -1.027
y[1] (analytic) = 0.48668218533928318527650118336773
y[1] (numeric) = 0.48668218533928249921156335585079
absolute error = 6.8606493782751694e-16
relative error = 1.4096775236373960546092600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 3.58
x[1] = -1.026
y[1] (analytic) = 0.4871689443438711223787874949578
y[1] (numeric) = 0.48716894434387043414664297963237
absolute error = 6.8823214451532543e-16
relative error = 1.4127176054751401423506800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.448
Order of pole = 3.58
x[1] = -1.025
y[1] (analytic) = 0.48765620237732398658945443462359
y[1] (numeric) = 0.4876562023773232961886744963462
absolute error = 6.9040077993827739e-16
relative error = 1.4157530993609300728687500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.447
Order of pole = 3.581
x[1] = -1.024
y[1] (analytic) = 0.48814395951138742228748164578712
y[1] (numeric) = 0.48814395951138672971668548965805
absolute error = 6.9257079615612907e-16
relative error = 1.4187839113063382657043200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 3.581
x[1] = -1.023
y[1] (analytic) = 0.48863221581516802351689128275241
y[1] (numeric) = 0.48863221581516732877474653607409
absolute error = 6.9474214474667832e-16
relative error = 1.4218099467462748355512800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.446
Order of pole = 3.582
x[1] = -1.022
y[1] (analytic) = 0.48912097135511943355878549306329
y[1] (numeric) = 0.48912097135511873664400869000478
absolute error = 6.9691477680305851e-16
relative error = 1.4248311105374242747588400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.445
Order of pole = 3.582
x[1] = -1.021
y[1] (analytic) = 0.48961022619502839984117044262233
y[1] (numeric) = 0.48961022619502770075252751159352
absolute error = 6.9908864293102881e-16
relative error = 1.4278473069566934137252100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 3.583
x[1] = -1.02
y[1] (analytic) = 0.49009998039600078415996863360125
y[1] (numeric) = 0.4900999803960000828962753873405
absolute error = 7.0126369324626075e-16
relative error = 1.4308584396996704343000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.444
Order of pole = 3.583
x[1] = -1.019
y[1] (analytic) = 0.49059023401644752818563541982995
y[1] (numeric) = 0.49059023401644682474575804820864
absolute error = 7.0343987737162131e-16
relative error = 1.4338644118790953850729100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.443
Order of pole = 3.584
x[1] = -1.018
y[1] (analytic) = 0.49108098711207057423081984988636
y[1] (numeric) = 0.49108098711206986861367541543374
absolute error = 7.0561714443445262e-16
relative error = 1.4368651260233422969688800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.442
Order of pole = 3.584
x[1] = -1.017
y[1] (analytic) = 0.49157223973584874125554432039892
y[1] (numeric) = 0.49157223973584803346010125655042
absolute error = 7.0779544306384850e-16
relative error = 1.4398604840749133012165000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.5MB, time=25.09
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 3.585
x[1] = -1.016
y[1] (analytic) = 0.49206399193802355608742205706368
y[1] (numeric) = 0.49206399193802284611270066913587
absolute error = 7.0997472138792781e-16
relative error = 1.4428503873889446194393600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.441
Order of pole = 3.585
x[1] = -1.015
y[1] (analytic) = 0.49255624376608503983548621458213
y[1] (numeric) = 0.4925562437660843276805591834772
absolute error = 7.1215492703110493e-16
relative error = 1.4458347367317250065092500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.44
Order of pole = 3.586
x[1] = -1.014
y[1] (analytic) = 0.4930489952647574494772694552203
y[1] (numeric) = 0.4930489952647567351412623438629
absolute error = 7.1433600711135740e-16
relative error = 1.4488134322792266332504000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 3.587
x[1] = -1.013
y[1] (analytic) = 0.49354224647598497459984828511343
y[1] (numeric) = 0.49354224647598425808194004762252
absolute error = 7.1651790823749091e-16
relative error = 1.4517863736156487196237900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.439
Order of pole = 3.587
x[1] = -1.012
y[1] (analytic) = 0.49403599743891738927665225398983
y[1] (numeric) = 0.49403599743891667057607574758808
absolute error = 7.1870057650640175e-16
relative error = 1.4547534597319740638520000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.438
Order of pole = 3.588
x[1] = -1.011
y[1] (analytic) = 0.49453024818989565906293441391489
y[1] (numeric) = 0.49453024818989493817897691357798
absolute error = 7.2088395750033691e-16
relative error = 1.4577145890245387727861100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 3.588
x[1] = -1.01
y[1] (analytic) = 0.49502499876243750309390624226523
y[1] (numeric) = 0.49502499876243678002590995811325
absolute error = 7.2306799628415198e-16
relative error = 1.4606696592936154147980000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.437
Order of pole = 3.589
x[1] = -1.009
y[1] (analytic) = 0.4955202491872229112706576197883
y[1] (numeric) = 0.49552024918722218601802021722137
absolute error = 7.2525263740256693e-16
relative error = 1.4636185677420096726613300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.436
Order of pole = 3.59
x[1] = -1.008
y[1] (analytic) = 0.49601599949207961652011047268341
y[1] (numeric) = 0.49601599949207888908228559526335
absolute error = 7.2743782487742006e-16
relative error = 1.4665612109736709958438400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.435
Order of pole = 3.59
x[1] = -1.007
y[1] (analytic) = 0.49651224970196852211639339459963
y[1] (numeric) = 0.49651224970196779249289118967952
absolute error = 7.2962350220492011e-16
relative error = 1.4694974849923171426253900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 3.591
x[1] = -1.006
y[1] (analytic) = 0.4970089998389690840521740167671
y[1] (numeric) = 0.49700899983896835224256166387021
absolute error = 7.3180961235289689e-16
relative error = 1.4724272852000732469680400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.434
Order of pole = 3.591
x[1] = -1.005
y[1] (analytic) = 0.49750624992226464844964614867974
y[1] (numeric) = 0.49750624992226391445354839062943
absolute error = 7.3399609775805031e-16
relative error = 1.4753505063961250743577500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.433
Order of pole = 3.592
x[1] = -1.004
y[1] (analytic) = 0.49800399996812774400203982438387
y[1] (numeric) = 0.49800399996812700781913950118549
absolute error = 7.3618290032319838e-16
relative error = 1.4782670427753875182140800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 3.593
x[1] = -1.003
y[1] (analytic) = 0.49850224998990532943770441707889
y[1] (numeric) = 0.49850224998990459106774300255502
absolute error = 7.3836996141452387e-16
relative error = 1.4811767879271876139348300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.432
Order of pole = 3.593
x[1] = -1.002
y[1] (analytic) = 0.499000999998003996000007984016
y[1] (numeric) = 0.49900099999800325544278612519582
absolute error = 7.4055722185882018e-16
relative error = 1.4840796348339630760007200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.431
Order of pole = 3.594
x[1] = -1.001
y[1] (analytic) = 0.49950024999987512493750003121877
y[1] (numeric) = 0.49950024999987438219287809048231
absolute error = 7.4274462194073646e-16
relative error = 1.4869754758699763336564600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.43
Order of pole = 3.595
x[1] = -1
y[1] (analytic) = 0.5
y[1] (numeric) = 0.49999999999999925506789859997798
absolute error = 7.4493210140002202e-16
relative error = 1.4898642028000440400000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = -0.999
y[1] (analytic) = 0.50050024999987487493750003128127
y[1] (numeric) = 0.50050024999987412781790060251079
absolute error = 7.4711959942877048e-16
relative error = 1.4927457067782828478104800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.429
Order of pole = 3.596
x[1] = -0.998
y[1] (analytic) = 0.501000999997995996000008016016
y[1] (numeric) = 0.50100099999799524669295334735246
absolute error = 7.4930705466866354e-16
relative error = 1.4956198783468711004941600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.428
Order of pole = 3.597
x[1] = -0.997
y[1] (analytic) = 0.50150224998984457943770564726639
y[1] (numeric) = 0.50150224998984382794330043905155
absolute error = 7.5149440520821484e-16
relative error = 1.4984866074348272648935600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.428
Order of pole = 3.597
x[1] = -0.996
y[1] (analytic) = 0.50200399996787174400205620838387
y[1] (numeric) = 0.50200399996787099032046762837006
absolute error = 7.5368158858001381e-16
relative error = 1.5013457833568047897409600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.427
Order of pole = 3.598
x[1] = -0.995
y[1] (analytic) = 0.50250624992148339844976821899222
y[1] (numeric) = 0.50250624992148264258122646102229
absolute error = 7.5586854175796993e-16
relative error = 1.5041972948119041099482500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.426
Order of pole = 3.599
x[1] = -0.994
y[1] (analytic) = 0.50300899983702508405280387276689
y[1] (numeric) = 0.50300899983702432599760271820942
absolute error = 7.5805520115455747e-16
relative error = 1.5070410298825018144289200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=167.8MB, alloc=4.5MB, time=25.68
Complex estimate of poles used
Radius of convergence = 1.426
Order of pole = 3.599
x[1] = -0.993
y[1] (analytic) = 0.50351224969776677211891549503562
y[1] (numeric) = 0.50351224969776601187741287697477
absolute error = 7.6024150261806085e-16
relative error = 1.5098768760330971330816500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.425
Order of pole = 3.6
x[1] = -0.992
y[1] (analytic) = 0.50401599948388761652849908067482
y[1] (numeric) = 0.50401599948388685410111765085383
absolute error = 7.6242738142982099e-16
relative error = 1.5127047201091763527033600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.424
Order of pole = 3.601
x[1] = -0.991
y[1] (analytic) = 0.50452024917246066129487140031109
y[1] (numeric) = 0.50452024917245989668209909882843
absolute error = 7.6461277230148266e-16
relative error = 1.5155244483360950522154600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.424
Order of pole = 3.601
x[1] = -0.99
y[1] (analytic) = 0.50502499873743750315640624210898
y[1] (numeric) = 0.50502499873743673635879686986585
absolute error = 7.6679760937224313e-16
relative error = 1.5183359463179786217130000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.423
Order of pole = 3.602
x[1] = -0.989
y[1] (analytic) = 0.50553024814963290921030614406298
y[1] (numeric) = 0.50553024814963214022847993796069
absolute error = 7.6898182620610229e-16
relative error = 1.5211390990366412679970900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.422
Order of pole = 3.603
x[1] = -0.988
y[1] (analytic) = 0.50603599737670938959913852431807
y[1] (numeric) = 0.50603599737670861843378273520366
absolute error = 7.7116535578911441e-16
relative error = 1.5239337908505237066350400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.422
Order of pole = 3.603
x[1] = -0.987
y[1] (analytic) = 0.50654224638316172526262949119351
y[1] (numeric) = 0.50654224638316095191449896455167
absolute error = 7.7334813052664184e-16
relative error = 1.5267199054936499946309600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.421
Order of pole = 3.604
x[1] = -0.986
y[1] (analytic) = 0.50704899513030145076858486681851
y[1] (numeric) = 0.50704899513030067523850262620774
absolute error = 7.7553008224061077e-16
relative error = 1.5294973260746035981509200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.42
Order of pole = 3.605
x[1] = -0.985
y[1] (analytic) = 0.50755624357624129223819614511033
y[1] (numeric) = 0.50755624357624051452705397834108
absolute error = 7.7771114216676925e-16
relative error = 1.5322659350755229455812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.419
Order of pole = 3.605
x[1] = -0.984
y[1] (analytic) = 0.50806399167587956038238928269493
y[1] (numeric) = 0.50806399167587878049114833074719
absolute error = 7.7989124095194774e-16
relative error = 1.5350256143511168509414400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.419
Order of pole = 3.606
x[1] = -0.983
y[1] (analytic) = 0.50857223938088449866728644670239
y[1] (numeric) = 0.50857223938088371659697779537996
absolute error = 7.8207030865132243e-16
relative error = 1.5377762451277001295622700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.418
Order of pole = 3.607
x[1] = -0.982
y[1] (analytic) = 0.50908098663967858662827517252755
y[1] (numeric) = 0.50908098663967780238000044684615
absolute error = 7.8424827472568140e-16
relative error = 1.5405177080022493903736000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.417
Order of pole = 3.607
x[1] = -0.981
y[1] (analytic) = 0.50959023339742279835361587393961
y[1] (numeric) = 0.50959023339742201192854783524561
absolute error = 7.8642506803869400e-16
relative error = 1.5432498829414795965340000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.417
Order of pole = 3.608
x[1] = -0.98
y[1] (analytic) = 0.51009997959600081615996735360131
y[1] (numeric) = 0.51009997959600002755935049941767
absolute error = 7.8860061685418364e-16
relative error = 1.5459726492809416078560000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.416
Order of pole = 3.609
x[1] = -0.979
y[1] (analytic) = 0.51061022517400319948367094030405
y[1] (numeric) = 0.51061022517400240870882210689995
absolute error = 7.9077484883340410e-16
relative error = 1.5486858857241407590081000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.415
Order of pole = 3.609
x[1] = -0.978
y[1] (analytic) = 0.51112097006671150901310718615639
y[1] (numeric) = 0.51112097006671071606541615383664
absolute error = 7.9294769103231975e-16
relative error = 1.5513894703416770737590000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.415
Order of pole = 3.61
x[1] = -0.977
y[1] (analytic) = 0.5116322142060823860889247486223
y[1] (numeric) = 0.51163221420608159096985484973252
absolute error = 7.9511906989888978e-16
relative error = 1.5540832805704071428136200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.414
Order of pole = 3.61
x[1] = -0.976
y[1] (analytic) = 0.51214395752073158740043921465797
y[1] (numeric) = 0.51214395752073079011152794430121
absolute error = 7.9728891127035676e-16
relative error = 1.5567671932126281210137600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.413
Order of pole = 3.611
x[1] = -0.975
y[1] (analytic) = 0.512656199935917975008010253124
y[1] (numeric) = 0.51265619993591717555086988258428
absolute error = 7.9945714037053972e-16
relative error = 1.5594410844352840413250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.413
Order of pole = 3.612
x[1] = -0.974
y[1] (analytic) = 0.51316894137352746172272866294859
y[1] (numeric) = 0.5131689413735266600990468558166
absolute error = 8.0162368180713199e-16
relative error = 1.5621048297691947377452400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.412
Order of pole = 3.612
x[1] = -0.973
y[1] (analytic) = 0.51368218175205691187628067388938
y[1] (numeric) = 0.51368218175205610808782110488532
absolute error = 8.0378845956900406e-16
relative error = 1.5647583041083077047197400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.411
Order of pole = 3.613
x[1] = -0.972
y[1] (analytic) = 0.51419592098659799751540530979276
y[1] (numeric) = 0.51419592098659719156400828628102
absolute error = 8.0595139702351174e-16
relative error = 1.5674013817089732557641600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.411
Order of pole = 3.613
x[1] = -0.971
y[1] (analytic) = 0.51471015898882101005692179648257
y[1] (numeric) = 0.51471015898882020194450488267285
absolute error = 8.0811241691380972e-16
relative error = 1.5700339361892429902145200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.41
Order of pole = 3.614
memory used=171.6MB, alloc=4.6MB, time=26.26
x[1] = -0.97
y[1] (analytic) = 0.51522489566695862744087794322222
y[1] (numeric) = 0.51522489566695781716943658705122
absolute error = 8.1027144135617100e-16
relative error = 1.5726558405281922939000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.409
Order of pole = 3.615
x[1] = -0.969
y[1] (analytic) = 0.5157401309257896368209572033682
y[1] (numeric) = 0.515740130925788824392565366056
absolute error = 8.1242839183731220e-16
relative error = 1.5752669670652667006242000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.409
Order of pole = 3.615
x[1] = -0.968
y[1] (analytic) = 0.51625586466662261283288178153704
y[1] (numeric) = 0.51625586466662179824969256981178
absolute error = 8.1458318921172526e-16
relative error = 1.5778671874996529100262400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.408
Order of pole = 3.616
x[1] = -0.967
y[1] (analytic) = 0.51677209678727955148316175638433
y[1] (numeric) = 0.51677209678727873474740805736877
absolute error = 8.1673575369901556e-16
relative error = 1.5804563728896743209848400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.407
Order of pole = 3.616
x[1] = -0.966
y[1] (analytic) = 0.51728882718207945970216578486165
y[1] (numeric) = 0.51728882718207864081616090361478
absolute error = 8.1888600488124687e-16
relative error = 1.5830343936522116742217200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.407
Order of pole = 3.617
x[1] = -0.965
y[1] (analytic) = 0.51780605574182190060712760035729
y[1] (numeric) = 0.517806055741821079573265900064
absolute error = 8.2103386170029329e-16
relative error = 1.5856011195621489089802500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.406
Order of pole = 3.617
x[1] = -0.964
y[1] (analytic) = 0.51832378235377049452235426808535
y[1] (numeric) = 0.51832378235376967134311181288679
absolute error = 8.2317924245519856e-16
relative error = 1.5881564197518447610137600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.405
Order of pole = 3.618
x[1] = -0.963
y[1] (analytic) = 0.51884200690163637580556707096565
y[1] (numeric) = 0.51884200690163555048350227142273
absolute error = 8.2532206479954292e-16
relative error = 1.5907001627106302381774800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.405
Order of pole = 3.618
x[1] = -0.962
y[1] (analytic) = 0.51936072926556160553098402238652
y[1] (numeric) = 0.51936072926556077806873828356872
absolute error = 8.2746224573881780e-16
relative error = 1.5932322162843323001032000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.404
Order of pole = 3.619
x[1] = -0.961
y[1] (analytic) = 0.5198799493221025400814443928608
y[1] (numeric) = 0.51987994932210171048174276505214
absolute error = 8.2959970162780866e-16
relative error = 1.5957524476748241414918600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.403
Order of pole = 3.619
x[1] = -0.96
y[1] (analytic) = 0.52039966694421315570358034970858
y[1] (numeric) = 0.52039966694421232396923218172234
absolute error = 8.3173434816798624e-16
relative error = 1.5982607234396023587840000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.403
Order of pole = 3.62
x[1] = -0.959
y[1] (analytic) = 0.52091988200122832908175889639997
y[1] (numeric) = 0.52091988200122749521565849149351
absolute error = 8.3386610040490646e-16
relative error = 1.6007569094913912380392600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.402
Order of pole = 3.62
x[1] = -0.958
y[1] (analytic) = 0.52144059435884707398824881476553
y[1] (numeric) = 0.52144059435884623799337608914618
absolute error = 8.3599487272561935e-16
relative error = 1.6032408710977746671334000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.401
Order of pole = 3.62
x[1] = -0.957
y[1] (analytic) = 0.5219618038791157340688123124526
y[1] (numeric) = 0.52196180387911489594823345636546
absolute error = 8.3812057885608714e-16
relative error = 1.6057124728808556910818600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.4
Order of pole = 3.621
x[1] = -0.956
y[1] (analytic) = 0.52248351042041113182467961311141
y[1] (numeric) = 0.52248351042041029158154775449941
absolute error = 8.4024313185861200e-16
relative error = 1.6081715788169444168320000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.4
Order of pole = 3.621
x[1] = -0.955
y[1] (analytic) = 0.5230057138374236738536368509826
y[1] (numeric) = 0.52300571383742283149119272170905
absolute error = 8.4236244412927355e-16
relative error = 1.6106180522362742594387500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.399
Order of pole = 3.622
x[1] = -0.954
y[1] (analytic) = 0.52352841398114041241474339778317
y[1] (numeric) = 0.52352841398113956793631600240664
absolute error = 8.4447842739537653e-16
relative error = 1.6130517558227470359774800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.398
Order of pole = 3.622
x[1] = -0.953
y[1] (analytic) = 0.52405161069882806338299421080186
y[1] (numeric) = 0.52405161069882721679200149789295
absolute error = 8.4659099271290891e-16
relative error = 1.6154725516137071982421900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.398
Order of pole = 3.622
x[1] = -0.952
y[1] (analytic) = 0.52457530383401598066205599946283
y[1] (numeric) = 0.52457530383401513196200553545213
absolute error = 8.4870005046401070e-16
relative error = 1.6178803009997454534528000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.397
Order of pole = 3.623
x[1] = -0.951
y[1] (analytic) = 0.52509949322647908712503301563064
y[1] (numeric) = 0.52509949322647823631952266117674
absolute error = 8.5080551035445390e-16
relative error = 1.6202748647245323616139000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.396
Order of pole = 3.623
x[1] = -0.95
y[1] (analytic) = 0.52562417871222076215505913272011
y[1] (numeric) = 0.52562417871221990924777772158649
absolute error = 8.5290728141113362e-16
relative error = 1.6226561028846817120500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.396
Order of pole = 3.623
x[1] = -0.949
y[1] (analytic) = 0.52614936012345568585936764213004
y[1] (numeric) = 0.52614936012345483085409566255899
absolute error = 8.5500527197957105e-16
relative error = 1.6250238749296447172010500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.395
Order of pole = 3.624
x[1] = -0.948
y[1] (analytic) = 0.52667503728859264003235891429101
y[1] (numeric) = 0.52667503728859178293296919286267
absolute error = 8.5709938972142834e-16
relative error = 1.6273780396616348748713600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.394
Order of pole = 3.624
memory used=175.4MB, alloc=4.6MB, time=26.85
x[1] = -0.947
y[1] (analytic) = 0.5272012100322172659450687971219
y[1] (numeric) = 0.5272012100322164067555271850862
absolute error = 8.5918954161203570e-16
relative error = 1.6297184552355838240813000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.394
Order of pole = 3.624
x[1] = -0.946
y[1] (analytic) = 0.52772787817507477904033740809619
y[1] (numeric) = 0.52772787817507391776470347016497
absolute error = 8.6127563393793122e-16
relative error = 1.6320449791591288756775200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.393
Order of pole = 3.625
x[1] = -0.945
y[1] (analytic) = 0.52825504153405264061488886834564
y[1] (numeric) = 0.52825504153405177725731657393206
absolute error = 8.6335757229441358e-16
relative error = 1.6343574682926322672795000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.392
Order of pole = 3.625
x[1] = -0.944
y[1] (analytic) = 0.52878269992216318657145757893668
y[1] (numeric) = 0.52878269992216232113619599582867
absolute error = 8.6543526158310801e-16
relative error = 1.6366557788492325495993600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.392
Order of pole = 3.625
x[1] = -0.943
y[1] (analytic) = 0.52931085314852621332603590103793
y[1] (numeric) = 0.52931085314852534581742989149201
absolute error = 8.6750860600954592e-16
relative error = 1.6389397663949286198140800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.391
Order of pole = 3.625
x[1] = -0.942
y[1] (analytic) = 0.52983950101835152095727162327988
y[1] (numeric) = 0.52983950101835065137976254252154
absolute error = 8.6957750908075834e-16
relative error = 1.6412092858486963836157600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.39
Order of pole = 3.625
x[1] = -0.941
y[1] (analytic) = 0.53036864333292141368701143103537
y[1] (numeric) = 0.53036864333292054204513782815162
absolute error = 8.7164187360288375e-16
relative error = 1.6434641914826388558337500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.39
Order of pole = 3.626
x[1] = -0.94
y[1] (analytic) = 0.53089827988957315778296878318114
y[1] (numeric) = 0.53089827988957228408136710439069
absolute error = 8.7370160167879045e-16
relative error = 1.6457043369221696916200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.389
Order of pole = 3.626
x[1] = -0.939
y[1] (analytic) = 0.53142841048168139697649120140552
y[1] (numeric) = 0.53142841048168052121989649569165
absolute error = 8.7575659470571387e-16
relative error = 1.6479295751462306091702700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.388
Order of pole = 3.626
x[1] = -0.938
y[1] (analytic) = 0.53195903489864052549041303427306
y[1] (numeric) = 0.53195903489863964768365966136384
absolute error = 8.7780675337290922e-16
relative error = 1.6501397584875431597616800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.388
Order of pole = 3.626
x[1] = -0.937
y[1] (analytic) = 0.53249015292584701877400532170659
y[1] (numeric) = 0.53249015292584613892202766238684
absolute error = 8.7985197765931975e-16
relative error = 1.6523347386328950515877500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.387
Order of pole = 3.626
x[1] = -0.936
y[1] (analytic) = 0.53302176434468172204407450365013
y[1] (numeric) = 0.53302176434468084015190767238909
absolute error = 8.8189216683126104e-16
relative error = 1.6545143666234615120998400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.386
Order of pole = 3.626
x[1] = -0.935
y[1] (analytic) = 0.53355386893249209673331643746082
y[1] (numeric) = 0.5335538689324912128060969973392
absolute error = 8.8392721944012162e-16
relative error = 1.6566784928551619432445000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.385
Order of pole = 3.626
x[1] = -0.934
y[1] (analytic) = 0.53408646646257442494910155974612
y[1] (numeric) = 0.53408646646257353899206823966582
absolute error = 8.8595703332008030e-16
relative error = 1.6588269670790522701868000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.385
Order of pole = 3.626
x[1] = -0.933
y[1] (analytic) = 0.53461955670415597204795109727991
y[1] (numeric) = 0.5346195567041550840664455114393
absolute error = 8.8798150558584061e-16
relative error = 1.6609596384017534167582900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.384
Order of pole = 3.626
x[1] = -0.932
y[1] (analytic) = 0.53515313942237710743306304532105
y[1] (numeric) = 0.53515313942237621743253041493838
absolute error = 8.9000053263038267e-16
relative error = 1.6630763552859161863460800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.383
Order of pole = 3.626
x[1] = -0.931
y[1] (analytic) = 0.53568721437827338368436023679518
y[1] (numeric) = 0.53568721437827249167035011406234
absolute error = 8.9201401012273284e-16
relative error = 1.6651769655507228791312400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.383
Order of pole = 3.626
x[1] = -0.93
y[1] (analytic) = 0.53622178132875757413266126870073
y[1] (numeric) = 0.53622178132875668011082826294916
absolute error = 8.9402183300575157e-16
relative error = 1.6672613163724261028930000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.382
Order of pole = 3.626
x[1] = -0.929
y[1] (analytic) = 0.53675684002660166899171837871523
y[1] (numeric) = 0.53675684002660077296782288477532
absolute error = 8.9602389549393991e-16
relative error = 1.6693292542849253038663100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.381
Order of pole = 3.626
x[1] = -0.928
y[1] (analytic) = 0.53729239022041883016402462088649
y[1] (numeric) = 0.53729239022041793214393354962173
absolute error = 8.9802009107126476e-16
relative error = 1.6713806251803808310758400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.381
Order of pole = 3.626
x[1] = -0.927
y[1] (analytic) = 0.53782843165464530483846591969469
y[1] (numeric) = 0.53782843165464440482815343069105
absolute error = 9.0001031248900364e-16
relative error = 1.6734152743098666489575600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.38
Order of pole = 3.626
x[1] = -0.926
y[1] (analytic) = 0.53836496406952229800008183147454
y[1] (numeric) = 0.53836496406952139600563006786549
absolute error = 9.0199445176360905e-16
relative error = 1.6754330462840614837578000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.379
Order of pole = 3.626
x[1] = -0.925
y[1] (analytic) = 0.53890198720107780397440215560795
y[1] (numeric) = 0.53890198720107690000200198101495
absolute error = 9.0397240017459300e-16
relative error = 1.6774337850739791356250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.379
Order of pole = 3.626
x[1] = -0.924
y[1] (analytic) = 0.53943950078110839713104495904575
y[1] (numeric) = 0.53943950078110749118699669661379
absolute error = 9.0594404826243196e-16
relative error = 1.6794173340117380690809600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=179.2MB, alloc=4.6MB, time=27.42
Complex estimate of poles used
Radius of convergence = 1.378
Order of pole = 3.626
x[1] = -0.923
y[1] (analytic) = 0.53997750453716098187349515019204
y[1] (numeric) = 0.53997750453716007396420932369924
absolute error = 9.0790928582649280e-16
relative error = 1.6813835357913709846112000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.377
Order of pole = 3.626
x[1] = -0.922
y[1] (analytic) = 0.54051599819251450204423150516409
y[1] (numeric) = 0.5405159981925135921762295821842
absolute error = 9.0986800192297989e-16
relative error = 1.6833322324696743268107600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.376
Order of pole = 3.626
x[1] = -0.921
y[1] (analytic) = 0.5410549814661616098766340536759
y[1] (numeric) = 0.54105498146616069805654919077189
absolute error = 9.1182008486290401e-16
relative error = 1.6852632654670985703464100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.376
Order of pole = 3.625
x[1] = -0.92
y[1] (analytic) = 0.54159445407279029462738301559792
y[1] (numeric) = 0.54159445407278938086196080552462
absolute error = 9.1376542221007330e-16
relative error = 1.6871764755686793411200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.375
Order of pole = 3.625
x[1] = -0.919
y[1] (analytic) = 0.54213441572276547102535508448894
y[1] (numeric) = 0.54213441572276455532145430538223
absolute error = 9.1570390077910671e-16
relative error = 1.6890717029250098521043100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.374
Order of pole = 3.625
x[1] = -0.918
y[1] (analytic) = 0.54267486612211052767533282249539
y[1] (numeric) = 0.54267486612210961003992618902498
absolute error = 9.1763540663347041e-16
relative error = 1.6909487870532551277968400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.374
Order of pole = 3.625
x[1] = -0.917
y[1] (analytic) = 0.54321580497248883555716830292321
y[1] (numeric) = 0.54321580497248791599734321938569
absolute error = 9.1955982508353752e-16
relative error = 1.6928075668382083016552800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.373
Order of pole = 3.625
x[1] = -0.916
y[1] (analytic) = 0.54375723197118521676338295299327
y[1] (numeric) = 0.54375723197118429528634226832171
absolute error = 9.2147704068467156e-16
relative error = 1.6946478805333893404473600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.372
Order of pole = 3.624
x[1] = -0.915
y[1] (analytic) = 0.54429914681108737362054184980065
y[1] (numeric) = 0.54429914681108645023360461446646
absolute error = 9.2338693723533419e-16
relative error = 1.6964695657621868572227500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.372
Order of pole = 3.624
x[1] = -0.914
y[1] (analytic) = 0.54484154918066727834211254682913
y[1] (numeric) = 0.54484154918066635305271477161172
absolute error = 9.2528939777521741e-16
relative error = 1.6982724595190429334443600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.371
Order of pole = 3.624
x[1] = -0.913
y[1] (analytic) = 0.54538443876396252336290589555124
y[1] (numeric) = 0.5453844387639615961786013121503
absolute error = 9.2718430458340094e-16
relative error = 1.7000563981706818781548600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.37
Order of pole = 3.623
x[1] = -0.912
y[1] (analytic) = 0.54592781524055763250759931518815
y[1] (numeric) = 0.54592781524055670343606013865314
absolute error = 9.2907153917653501e-16
relative error = 1.7018212174573829453574400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.37
Order of pole = 3.623
x[1] = -0.911
y[1] (analytic) = 0.54647167828556533314826159162062
y[1] (numeric) = 0.54647167828556440219727928457159
absolute error = 9.3095098230704903e-16
relative error = 1.7035667524942974680266300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.369
Order of pole = 3.623
x[1] = -0.91
y[1] (analytic) = 0.54701602756960778950823259121492
y[1] (numeric) = 0.54701602756960685668571862982823
absolute error = 9.3282251396138669e-16
relative error = 1.7052928377728110079890000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.368
Order of pole = 3.622
x[1] = -0.909
y[1] (analytic) = 0.54756086275879779727216129390822
y[1] (numeric) = 0.54756086275879686258614793564041
absolute error = 9.3468601335826781e-16
relative error = 1.7069993071619506943146100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.367
Order of pole = 3.622
x[1] = -0.908
y[1] (analytic) = 0.54810618351471993966447131869963
y[1] (numeric) = 0.54810618351471900312311237172218
absolute error = 9.3654135894697745e-16
relative error = 1.7086859939098382663368000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.367
Order of pole = 3.622
x[1] = -0.907
y[1] (analytic) = 0.54865198949441170516100466957708
y[1] (numeric) = 0.54865198949441076677257626389437
absolute error = 9.3838842840568271e-16
relative error = 1.7103527306451891856987900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.366
Order of pole = 3.621
x[1] = -0.906
y[1] (analytic) = 0.54919828035034456700109180618134
y[1] (numeric) = 0.54919828035034362677399316640363
absolute error = 9.4022709863977771e-16
relative error = 1.7119993493788582863655600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.365
Order of pole = 3.621
x[1] = -0.905
y[1] (analytic) = 0.54974505573040502466980937590193
y[1] (numeric) = 0.54974505573040408261256359564482
absolute error = 9.4205724578025711e-16
relative error = 1.7136256815054321895177500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.365
Order of pole = 3.62
x[1] = -0.904
y[1] (analytic) = 0.55029231527787560752271606677467
y[1] (numeric) = 0.55029231527787466364397088465584
absolute error = 9.4387874518211883e-16
relative error = 1.7152315578048692517772800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.364
Order of pole = 3.62
x[1] = -0.903
y[1] (analytic) = 0.5508400586314158407279020870779
y[1] (numeric) = 0.55084005863141489503643066428171
absolute error = 9.4569147142279619e-16
relative error = 1.7168168084441870084917100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.363
Order of pole = 3.62
x[1] = -0.902
y[1] (analytic) = 0.5513882854250431737027487808805
y[1] (numeric) = 0.55138828542504222620745048026039
absolute error = 9.4749529830062011e-16
relative error = 1.7183812629791978339764400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.363
Order of pole = 3.619
x[1] = -0.901
y[1] (analytic) = 0.551936995288113871225371881349
y[1] (numeric) = 0.55193699528811292193527304803719
absolute error = 9.4929009883331181e-16
relative error = 1.7199247503562931706698100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.6MB, time=28.02
Complex estimate of poles used
Radius of convergence = 1.362
Order of pole = 3.619
x[1] = -0.9
y[1] (analytic) = 0.55248618784530386740331491712707
y[1] (numeric) = 0.55248618784530291632756966062065
absolute error = 9.5107574525650642e-16
relative error = 1.7214470989142766202000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.361
Order of pole = 3.618
x[1] = -0.899
y[1] (analytic) = 0.55303586271658958268466835268867
y[1] (numeric) = 0.5530358627165886298325593303806
absolute error = 9.5285210902230807e-16
relative error = 1.7229481363862464744820700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.36
Order of pole = 3.618
x[1] = -0.898
y[1] (analytic) = 0.55358601951722870409941519172898
y[1] (numeric) = 0.55358601951722774948035439385211
absolute error = 9.5461906079787687e-16
relative error = 1.7244276899015279694754800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.36
Order of pole = 3.617
x[1] = -0.897
y[1] (analytic) = 0.55413665785774092892144503324543
y[1] (numeric) = 0.55413665785773997254497456919706
absolute error = 9.5637647046404837e-16
relative error = 1.7258855859876558649373300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.359
Order of pole = 3.617
x[1] = -0.896
y[1] (analytic) = 0.55468777734388867194433597216799
y[1] (numeric) = 0.55468777734388771382012885818222
absolute error = 9.5812420711398577e-16
relative error = 1.7273216505724073699283200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.358
Order of pole = 3.616
x[1] = -0.895
y[1] (analytic) = 0.55523937757665773656667730875474
y[1] (numeric) = 0.55523937757665677670453825688905
absolute error = 9.5986213905186569e-16
relative error = 1.7287357089858864043322500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.358
Order of pole = 3.616
x[1] = -0.894
y[1] (analytic) = 0.55579145815223794988539580132901
y[1] (numeric) = 0.55579145815223698829526200973127
absolute error = 9.6159013379159774e-16
relative error = 1.7301275859626591513266400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.357
Order of pole = 3.615
x[1] = -0.893
y[1] (analytic) = 0.55634401866200376199825419246944
y[1] (numeric) = 0.55634401866200279869019613689095
absolute error = 9.6330805805557849e-16
relative error = 1.7314971056439415012720100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.356
Order of pole = 3.614
x[1] = -0.892
y[1] (analytic) = 0.55689705869249480971941298594837
y[1] (numeric) = 0.55689705869249384470363521246804
absolute error = 9.6501577777348033e-16
relative error = 1.7328440915798387832891200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.356
Order of pole = 3.614
x[1] = -0.891
y[1] (analytic) = 0.55745057782539644491468497631671
y[1] (numeric) = 0.55745057782539547820152689524094
absolute error = 9.6671315808107577e-16
relative error = 1.7341683667316382833633700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.355
Order of pole = 3.613
x[1] = -0.89
y[1] (analytic) = 0.55800457563752022766586686010825
y[1] (numeric) = 0.55800457563751925926580354101064
absolute error = 9.6840006331909761e-16
relative error = 1.7354697534741548268810000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.354
Order of pole = 3.613
x[1] = -0.889
y[1] (analytic) = 0.55855905170078438447630341151112
y[1] (numeric) = 0.55855905170078341439994637937553
absolute error = 9.7007635703213559e-16
relative error = 1.7367480735981300216243900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.354
Order of pole = 3.612
x[1] = -0.888
y[1] (analytic) = 0.55911400558219423173262720961855
y[1] (numeric) = 0.55911400558219325999072524204864
absolute error = 9.7174190196756991e-16
relative error = 1.7380031483126853571110400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.353
Order of pole = 3.612
x[1] = -0.887
y[1] (analytic) = 0.5596694368438225646404207818694
y[1] (numeric) = 0.55966943684382159124386070732709
absolute error = 9.7339656007454231e-16
relative error = 1.7392347982478298886963900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.352
Order of pole = 3.611
x[1] = -0.886
y[1] (analytic) = 0.56022534504279001185436830110544
y[1] (numeric) = 0.56022534504278903681417579814034
absolute error = 9.7504019250296510e-16
relative error = 1.7404428434570226916396000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.351
Order of pole = 3.61
x[1] = -0.885
y[1] (analytic) = 0.5607817297312453560263006631244
y[1] (numeric) = 0.56078172973124437935364106055569
absolute error = 9.7667265960256871e-16
relative error = 1.7416271034197905878897500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.351
Order of pole = 3.61
x[1] = -0.884
y[1] (analytic) = 0.56133859045634582049739089823156
y[1] (numeric) = 0.56133859045634484220356997624326
absolute error = 9.7829382092198830e-16
relative error = 1.7427873970444015889648000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.35
Order of pole = 3.609
x[1] = -0.883
y[1] (analytic) = 0.56189592676023732236362645383547
y[1] (numeric) = 0.56189592676023634246009124594548
absolute error = 9.7990353520788999e-16
relative error = 1.7439235426705945284131100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.349
Order of pole = 3.609
x[1] = -0.882
y[1] (analytic) = 0.56245373818003469214657094453981
y[1] (numeric) = 0.56245373818003371064491054040261
absolute error = 9.8150166040413720e-16
relative error = 1.7450353580723652271728000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.349
Order of pole = 3.608
x[1] = -0.881
y[1] (analytic) = 0.56301202424780186030433051958691
y[1] (numeric) = 0.56301202424780087721627686858925
absolute error = 9.8308805365099766e-16
relative error = 1.7461226604608096547832600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.348
Order of pole = 3.607
x[1] = -0.88
y[1] (analytic) = 0.56357078449053201082055906221821
y[1] (numeric) = 0.56357078449053102615798777782657
absolute error = 9.8466257128439164e-16
relative error = 1.7471852664870245260160000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.347
Order of pole = 3.607
x[1] = -0.879
y[1] (analytic) = 0.56413001843012770211227202800793
y[1] (numeric) = 0.5641300184301267158872031928259
absolute error = 9.8622506883518203e-16
relative error = 1.7482229922450659088412300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.347
Order of pole = 3.606
x[1] = -0.878
y[1] (analytic) = 0.56468972558338095550019086512725
y[1] (numeric) = 0.56468972558337996772478983662068
absolute error = 9.8777540102850657e-16
relative error = 1.7492356532749658287078800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.6MB, time=28.62
Complex estimate of poles used
Radius of convergence = 1.346
Order of pole = 3.606
x[1] = -0.877
y[1] (analytic) = 0.56524990546195331148830865358038
y[1] (numeric) = 0.5652499054619523221748868704272
absolute error = 9.8931342178315318e-16
relative error = 1.7502230645658080021802200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.345
Order of pole = 3.605
x[1] = -0.876
y[1] (analytic) = 0.56581055757235585410235286662261
y[1] (numeric) = 0.56581055757235486326336865564405
absolute error = 9.9083898421097856e-16
relative error = 1.7511850405588624434585600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.344
Order of pole = 3.604
x[1] = -0.875
y[1] (analytic) = 0.56637168141592920353982300884956
y[1] (numeric) = 0.56637168141592821118788239247868
absolute error = 9.9235194061637088e-16
relative error = 1.7521213951507798350000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.344
Order of pole = 3.604
x[1] = -0.874
y[1] (analytic) = 0.56693327648882347738729933396679
y[1] (numeric) = 0.56693327648882248353515683820977
absolute error = 9.9385214249575702e-16
relative error = 1.7530319416968459094095200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.343
Order of pole = 3.603
x[1] = -0.873
y[1] (analytic) = 0.56749534228197822066375390223985
y[1] (numeric) = 0.56749534228197722532431336508487
absolute error = 9.9533944053715498e-16
relative error = 1.7539164930142963677524200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.342
Order of pole = 3.602
x[1] = -0.872
y[1] (analytic) = 0.56805787828110230495164691340071
y[1] (numeric) = 0.56805787828110130813796229362877
absolute error = 9.9681368461977194e-16
relative error = 1.7547748613856926068249600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.342
Order of pole = 3.602
x[1] = -0.871
y[1] (analytic) = 0.56862088396665379688065955473573
y[1] (numeric) = 0.56862088396665279860593574108702
absolute error = 9.9827472381364871e-16
relative error = 1.7556068585623589810031100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.341
Order of pole = 3.601
x[1] = -0.87
y[1] (analytic) = 0.56918435881381979623199954465251
y[1] (numeric) = 0.56918435881381879650959316530154
absolute error = 9.9972240637935097e-16
relative error = 1.7564122957678817191930000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.34
Order of pole = 3.601
x[1] = -0.869
y[1] (analytic) = 0.56974830229249624393431713671851
y[1] (numeric) = 0.56974830229249524277773736901049
absolute error = 1.00115657976770802e-15
relative error = 1.7571909837016701760912200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.34
Order of pole = 3.6
x[1] = -0.868
y[1] (analytic) = 0.57031271386726770022538758452034
y[1] (numeric) = 0.57031271386726669764829696492078
absolute error = 1.00257709061959956e-15
relative error = 1.7579427325425807388934400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.339
Order of pole = 3.599
x[1] = -0.867
y[1] (analytic) = 0.57087759299738709325685095927416
y[1] (numeric) = 0.57087759299738608927306619348306
absolute error = 1.00398378476579110e-15
relative error = 1.7586673519526038461679000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.338
Order of pole = 3.599
x[1] = -0.866
y[1] (analytic) = 0.57144293913675543842245176450151
y[1] (numeric) = 0.5714429391367544330459445376829
absolute error = 1.00537650722681861e-15
relative error = 1.7593646510806145874811600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.338
Order of pole = 3.598
x[1] = -0.865
y[1] (analytic) = 0.57200875173390152869338900885184
y[1] (numeric) = 0.57200875173390052193828679592883
absolute error = 1.00675510221292301e-15
relative error = 1.7600344385661873291572500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.337
Order of pole = 3.597
x[1] = -0.864
y[1] (analytic) = 0.57257503023196159624757228187182
y[1] (numeric) = 0.57257503023196058812815915783676
absolute error = 1.00811941312403506e-15
relative error = 1.7606765225434747361497600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.336
Order of pole = 3.597
x[1] = -0.863
y[1] (analytic) = 0.57314177406865894568278092973912
y[1] (numeric) = 0.57314177406865793621349837992781
absolute error = 1.00946928254981131e-15
relative error = 1.7612907106451517295373900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.335
Order of pole = 3.596
x[1] = -0.862
y[1] (analytic) = 0.57370898267628355910694164920679
y[1] (numeric) = 0.5737089826762825483023893794851
absolute error = 1.01080455226972169e-15
relative error = 1.7618768100064247734243600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.335
Order of pole = 3.596
x[1] = -0.861
y[1] (analytic) = 0.57427665548167167340197470770754
y[1] (numeric) = 0.57427665548167066127691145451825
absolute error = 1.01212506325318929e-15
relative error = 1.7624346272691068276520900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.334
Order of pole = 3.595
x[1] = -0.86
y[1] (analytic) = 0.57484479190618532996091055415038
y[1] (numeric) = 0.57484479190618431653025489436729
absolute error = 1.01343065565978309e-15
relative error = 1.7629639685857586633640000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.333
Order of pole = 3.595
x[1] = -0.859
y[1] (analytic) = 0.57541339136569189720124680573641
y[1] (numeric) = 0.57541339136569088248007796627229
absolute error = 1.01472116883946412e-15
relative error = 1.7634646396238967443297200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.333
Order of pole = 3.594
x[1] = -0.858
y[1] (analytic) = 0.57598245327054356616080047737426
y[1] (numeric) = 0.57598245327054255016435914448852
absolute error = 1.01599644133288574e-15
relative error = 1.7639364455702682379013600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.332
Order of pole = 3.594
x[1] = -0.857
y[1] (analytic) = 0.57655197702555681948561185713734
y[1] (numeric) = 0.57655197702555580222930098538874
absolute error = 1.01725631087174860e-15
relative error = 1.7643791911351934875214000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.331
Order of pole = 3.593
x[1] = -0.856
y[1] (analytic) = 0.57712196202999187412277461771441
y[1] (numeric) = 0.57712196202999085562216023850341
absolute error = 1.01850061437921100e-15
relative error = 1.7647926805569765512960000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.331
Order of pole = 3.592
x[1] = -0.855
y[1] (analytic) = 0.5776924076775320980344015828772
y[1] (numeric) = 0.57769240767753107830521361252198
absolute error = 1.01972918797035522e-15
relative error = 1.7651767176063841447005000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.33
Order of pole = 3.592
memory used=190.7MB, alloc=4.6MB, time=29.23
x[1] = -0.854
y[1] (analytic) = 0.57826331335626340125228703140432
y[1] (numeric) = 0.57826331335626238031042007869392
absolute error = 1.02094186695271040e-15
relative error = 1.7655311055911933380864000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.329
Order of pole = 3.591
x[1] = -0.853
y[1] (analytic) = 0.57883467844865360159619450929001
y[1] (numeric) = 0.57883467844865257945770868245723
absolute error = 1.02213848582683278e-15
relative error = 1.7658556473608087522230200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.329
Order of pole = 3.591
x[1] = -0.852
y[1] (analytic) = 0.57940650233153176538208382389751
y[1] (numeric) = 0.57940650233153074206320553695385
absolute error = 1.02331887828694366e-15
relative error = 1.7661501453109492105686400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.328
Order of pole = 3.59
x[1] = -0.851
y[1] (analytic) = 0.57997878437606752344999219928535
y[1] (numeric) = 0.57997878437606649896711497765928
absolute error = 1.02448287722162607e-15
relative error = 1.7664144013884048915200700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.327
Order of pole = 3.59
x[1] = -0.85
y[1] (analytic) = 0.58055152394775036284470246734398
y[1] (numeric) = 0.58055152394774933721438775276352
absolute error = 1.02563031471458046e-15
relative error = 1.7666482170958648423500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.327
Order of pole = 3.59
x[1] = -0.849
y[1] (analytic) = 0.58112472040636889448576564053601
y[1] (numeric) = 0.58112472040636786772474359509573
absolute error = 1.02676102204544028e-15
relative error = 1.7668513934968156792642800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.326
Order of pole = 3.589
x[1] = -0.848
y[1] (analytic) = 0.58169837310599009716689624362459
y[1] (numeric) = 0.5816983731059890692920665529766
absolute error = 1.02787482969064799e-15
relative error = 1.7670237312205117222009600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.325
Order of pole = 3.589
x[1] = -0.847
y[1] (analytic) = 0.5822724813949385382282263572626
y[1] (numeric) = 0.58227248139493750925665903287037
absolute error = 1.02897156732439223e-15
relative error = 1.7671650304670171353320700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.325
Order of pole = 3.588
x[1] = -0.846
y[1] (analytic) = 0.58284704461577557124838842792164
y[1] (numeric) = 0.58284704461577454119732460831491
absolute error = 1.03005106381960673e-15
relative error = 1.7672750910123203803686800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.324
Order of pole = 3.588
x[1] = -0.845
y[1] (analytic) = 0.58342206210527851110689750732924
y[1] (numeric) = 0.58342206210527747999375025829759
absolute error = 1.03111314724903165e-15
relative error = 1.7673537122135214738912500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.323
Order of pole = 3.587
x[1] = -0.844
y[1] (analytic) = 0.58399753319441978677082068005345
y[1] (numeric) = 0.58399753319441875461317579371539
absolute error = 1.03215764488633806e-15
relative error = 1.7674006930140925683081600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.323
Order of pole = 3.587
x[1] = -0.843
y[1] (analytic) = 0.58457345720834607216325499854149
y[1] (numeric) = 0.58457345720834503897887179122539
absolute error = 1.03318438320731610e-15
relative error = 1.7674158319492120791489000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.322
Order of pole = 3.587
x[1] = -0.842
y[1] (analytic) = 0.58514983346635739547468524790458
y[1] (numeric) = 0.58514983346635636128149735677692
absolute error = 1.03419318789112766e-15
relative error = 1.7673989271511730903442400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.321
Order of pole = 3.586
x[1] = -0.841
y[1] (analytic) = 0.58572666128188622728185928385544
y[1] (numeric) = 0.58572666128188519209797546223136
absolute error = 1.03518388382162408e-15
relative error = 1.7673497763548661809264800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.321
Order of pole = 3.586
x[1] = -0.84
y[1] (analytic) = 0.58630393996247654784240150093809
y[1] (numeric) = 0.58630393996247551168610641220843
absolute error = 1.03615629508872966e-15
relative error = 1.7672681769033373080960000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.32
Order of pole = 3.586
x[1] = -0.839
y[1] (analytic) = 0.58688166880976289393698416769322
y[1] (numeric) = 0.58688166880976185682673917780165
absolute error = 1.03711024498989157e-15
relative error = 1.7671539257534210338459700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.319
Order of pole = 3.585
x[1] = -0.838
y[1] (analytic) = 0.58745984711944938563449188247983
y[1] (numeric) = 0.58745984711944834758893585088286
absolute error = 1.03804555603159697e-15
relative error = 1.7670068194814497526006800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.319
Order of pole = 3.585
x[1] = -0.837
y[1] (analytic) = 0.58803847418128873335924622876226
y[1] (numeric) = 0.58803847418128769439719629780442
absolute error = 1.03896204993095784e-15
relative error = 1.7668266542890390430109600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.318
Order of pole = 3.585
x[1] = -0.836
y[1] (analytic) = 0.58861754927906122564300581083245
y[1] (numeric) = 0.58861754927906018578345819346817
absolute error = 1.03985954761736428e-15
relative error = 1.7666132260089497058348800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.317
Order of pole = 3.585
x[1] = -0.835
y[1] (analytic) = 0.58919707169055369794812119783765
y[1] (numeric) = 0.58919707169055265721025196363055
absolute error = 1.04073786923420710e-15
relative error = 1.7663663301110271452975000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.317
Order of pole = 3.584
x[1] = -0.834
y[1] (analytic) = 0.58977704068753848295190486188601
y[1] (numeric) = 0.58977704068753744135507072121587
absolute error = 1.04159683414067014e-15
relative error = 1.7660857617082180998978400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.316
Order of pole = 3.584
x[1] = -0.833
y[1] (analytic) = 0.59035745553575234268597292974923
y[1] (numeric) = 0.590357455535751300249712016156
absolute error = 1.04243626091359323e-15
relative error = 1.7657713155626655227714700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.315
Order of pole = 3.584
x[1] = -0.832
y[1] (analytic) = 0.59093831549487538292802844067925
y[1] (numeric) = 0.59093831549487433967206109127295
absolute error = 1.04325596734940630e-15
relative error = 1.7654227860918817266112000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.315
Order of pole = 3.584
x[1] = -0.831
memory used=194.5MB, alloc=4.6MB, time=29.82
y[1] (analytic) = 0.59151961981850995024728477706513
y[1] (numeric) = 0.59151961981850890619151431092964
absolute error = 1.04405577046613549e-15
relative error = 1.7650399673750004801098900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.314
Order of pole = 3.584
x[1] = -0.83
y[1] (analytic) = 0.59210136775415951210847297057256
y[1] (numeric) = 0.5921013677541584672729864650907
absolute error = 1.04483548650548186e-15
relative error = 1.7646226531591083133540000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.313
Order of pole = 3.584
x[1] = -0.829
y[1] (analytic) = 0.59268355854320752044313764305159
y[1] (numeric) = 0.5926835585432064748482067080781
absolute error = 1.04559493093497349e-15
relative error = 1.7641706368656556062410900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.313
Order of pole = 3.583
x[1] = -0.828
y[1] (analytic) = 0.59326619142089625910070337639655
y[1] (numeric) = 0.59326619142089521276678492620508
absolute error = 1.04633391845019147e-15
relative error = 1.7636837115969475387684800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.312
Order of pole = 3.583
x[1] = -0.827
y[1] (analytic) = 0.59384926561630567559558627471823
y[1] (numeric) = 0.59384926561630462854332329764743
absolute error = 1.04705226297707080e-15
relative error = 1.7631616701427158551732000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.311
Order of pole = 3.583
x[1] = -0.826
y[1] (analytic) = 0.59443278035233219757043434014395
y[1] (numeric) = 0.59443278035233114982065666586732
absolute error = 1.04774977767427663e-15
relative error = 1.7626043049867713920098800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.311
Order of pole = 3.583
x[1] = -0.825
y[1] (analytic) = 0.59501673484566753439940498326515
y[1] (numeric) = 0.59501673484566648597313004760854
absolute error = 1.04842627493565661e-15
relative error = 1.7620114083137378901812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.31
Order of pole = 3.583
x[1] = -0.824
y[1] (analytic) = 0.59560112830677746435922848212244
y[1] (numeric) = 0.59560112830677641527766208935218
absolute error = 1.04908156639277026e-15
relative error = 1.7613827720158678400537600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.309
Order of pole = 3.583
x[1] = -0.823
y[1] (analytic) = 0.59618595993988060779966243950948
y[1] (numeric) = 0.5961859599398795580841995220138
absolute error = 1.04971546291749568e-15
relative error = 1.7607181876999401114387200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.309
Order of pole = 3.583
x[1] = -0.822
y[1] (analytic) = 0.59677122894292718674881421556809
y[1] (numeric) = 0.5967712289429261364210395908533
absolute error = 1.05032777462471479e-15
relative error = 1.7600174466942405781663600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.308
Order of pole = 3.583
x[1] = -0.821
y[1] (analytic) = 0.597356934507577771392695877819
y[1] (numeric) = 0.59735693450757672047438500274165
absolute error = 1.05091831087507735e-15
relative error = 1.7592803400556253620713500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.308
Order of pole = 3.583
x[1] = -0.82
y[1] (analytic) = 0.59794307581918201387227935900502
y[1] (numeric) = 0.59794307581918096238539908116015
absolute error = 1.05148688027784487e-15
relative error = 1.7585066585766677605880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.307
Order of pole = 3.583
x[1] = -0.819
y[1] (analytic) = 0.59852965205675736984523818786768
y[1] (numeric) = 0.59852965205675631781194749405285
absolute error = 1.05203329069381483e-15
relative error = 1.7576961927928887591856300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.306
Order of pole = 3.583
x[1] = -0.818
y[1] (analytic) = 0.59911666239296780826349630105373
y[1] (numeric) = 0.59911666239296675570614706272759
absolute error = 1.05255734923832614e-15
relative error = 1.7568487329900718801013600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.306
Order of pole = 3.583
x[1] = -0.817
y[1] (analytic) = 0.59970410599410250982165399591841
y[1] (numeric) = 0.59970410599410145676279171157201
absolute error = 1.05305886228434640e-15
relative error = 1.7559640692116624941896000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.305
Order of pole = 3.584
x[1] = -0.816
y[1] (analytic) = 0.60029198202005455453532598255792
y[1] (numeric) = 0.60029198202005350099769051691603
absolute error = 1.05353763546564189e-15
relative error = 1.7550419912662523363078400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.304
Order of pole = 3.584
x[1] = -0.815
y[1] (analytic) = 0.60088028962429959891240667578002
y[1] (numeric) = 0.60088028962429854491893299574932
absolute error = 1.05399347368003070e-15
relative error = 1.7540822887351490917075000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.304
Order of pole = 3.584
x[1] = -0.814
y[1] (analytic) = 0.60146902795387454318427326903228
y[1] (numeric) = 0.60146902795387348875809217631215
absolute error = 1.05442618109272013e-15
relative error = 1.7530847509800321172574800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.303
Order of pole = 3.584
x[1] = -0.813
y[1] (analytic) = 0.60205819614935618906794768595922
y[1] (numeric) = 0.60205819614935513423238654623051
absolute error = 1.05483556113972871e-15
relative error = 1.7520491671506940557199900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.302
Order of pole = 3.584
x[1] = -0.812
y[1] (analytic) = 0.60264779334483988853426414293841
y[1] (numeric) = 0.60264779334483883331284761154463
absolute error = 1.05522141653139378e-15
relative error = 1.7509753261928690804803200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.302
Order of pole = 3.584
x[1] = -0.811
y[1] (analytic) = 0.60323781866791818406112970759253
y[1] (numeric) = 0.60323781866791712847758045162716
absolute error = 1.05558354925596537e-15
relative error = 1.7498630168561481691217700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.301
Order of pole = 3.585
x[1] = -0.81
y[1] (analytic) = 0.60382827123965944085502083207536
y[1] (numeric) = 0.6038282712396583849332602487884
absolute error = 1.05592176058328696e-15
relative error = 1.7487120277019815344560000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.301
Order of pole = 3.585
x[1] = -0.809
y[1] (analytic) = 0.60441915017458647152792930230084
y[1] (numeric) = 0.6044191501745854152920782337368
absolute error = 1.05623585106856404e-15
relative error = 1.7475221471117689014632400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.3
Order of pole = 3.585
x[1] = -0.808
y[1] (analytic) = 0.60501045458065515372105629985286
y[1] (numeric) = 0.60501045458065409719543574363179
absolute error = 1.05652562055622107e-15
relative error = 1.7462931632950377826444800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=198.3MB, alloc=4.6MB, time=30.42
Complex estimate of poles used
Radius of convergence = 1.299
Order of pole = 3.585
x[1] = -0.807
y[1] (analytic) = 0.60560218355923304117065324490734
y[1] (numeric) = 0.60560218355923198437978506105973
absolute error = 1.05679086818384761e-15
relative error = 1.7450248642977101821648900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.299
Order of pole = 3.586
x[1] = -0.806
y[1] (analytic) = 0.60619433620507796871552269712834
y[1] (numeric) = 0.60619433620507691168413031089393
absolute error = 1.05703139238623441e-15
relative error = 1.7437170380104581871747600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.298
Order of pole = 3.586
x[1] = -0.805
y[1] (analytic) = 0.60678691160631665174982175634472
y[1] (numeric) = 0.60678691160631559450283085684462
absolute error = 1.05724699089950010e-15
relative error = 1.7423694721771486523025000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.297
Order of pole = 3.586
x[1] = -0.804
y[1] (analytic) = 0.60737990884442328062895404320658
y[1] (numeric) = 0.60737990884442222319149327789725
absolute error = 1.05743746076530933e-15
relative error = 1.7409819544033775258612800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.297
Order of pole = 3.587
x[1] = -0.803
y[1] (analytic) = 0.60797332699419811054049436743111
y[1] (numeric) = 0.60797332699419705293789603224813
absolute error = 1.05760259833518298e-15
relative error = 1.7395542721650939821508200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.296
Order of pole = 3.587
x[1] = -0.802
y[1] (analytic) = 0.60856716512374604735626252126942
y[1] (numeric) = 0.60856716512374498961406324636811
absolute error = 1.05774219927490131e-15
relative error = 1.7380862128173149321972400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.296
Order of pole = 3.588
x[1] = -0.801
y[1] (analytic) = 0.6091614222944552299858491801601
y[1] (numeric) = 0.60916142229445417212979061115944
absolute error = 1.05785605856900066e-15
relative error = 1.7365775636029300524566600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.295
Order of pole = 3.588
x[1] = -0.8
y[1] (analytic) = 0.60975609756097560975609756097561
y[1] (numeric) = 0.6097560975609745518121270356111
absolute error = 1.05794397052536451e-15
relative error = 1.7350281116615977964000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.294
Order of pole = 3.588
x[1] = -0.799
y[1] (analytic) = 0.61035118997119752734525918868458
y[1] (numeric) = 0.61035118997119646933953040877488
absolute error = 1.05800572877990970e-15
relative error = 1.7334376440387328323897000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.294
Order of pole = 3.589
x[1] = -0.798
y[1] (analytic) = 0.61094669856623028780477076057976
y[1] (numeric) = 0.61094669856622922976364445921137
absolute error = 1.05804112630136839e-15
relative error = 1.7318059476945849862255600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.293
Order of pole = 3.589
x[1] = -0.797
y[1] (analytic) = 0.6115426223803807342058415774375
y[1] (numeric) = 0.61154262238037967615588618127083
absolute error = 1.05804995539616667e-15
relative error = 1.7301328095134103042840300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.293
Order of pole = 3.59
x[1] = -0.796
y[1] (analytic) = 0.61213896044113182045229723509074
y[1] (numeric) = 0.6121389604411307624202895216903
absolute error = 1.05803200771340044e-15
relative error = 1.7284180163127343731910400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.292
Order of pole = 3.59
x[1] = -0.795
y[1] (analytic) = 0.61273571176912118380539513794213
y[1] (numeric) = 0.61273571176912012581832088803272
absolute error = 1.05798707424990941e-15
relative error = 1.7266613548527084048552500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.291
Order of pole = 3.591
x[1] = -0.794
y[1] (analytic) = 0.61333287537811971767061080594393
y[1] (numeric) = 0.61333287537811865975566545049413
absolute error = 1.05791494535544980e-15
relative error = 1.7248626118455581501128000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.291
Order of pole = 3.591
x[1] = -0.793
y[1] (analytic) = 0.61393045027501014520069079454265
y[1] (numeric) = 0.61393045027500908738528005657592
absolute error = 1.05781541073796673e-15
relative error = 1.7230215739651263701937700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.29
Order of pole = 3.592
x[1] = -0.792
y[1] (analytic) = 0.61452843545976559427357822701172
y[1] (numeric) = 0.61452843545976453658531875804495
absolute error = 1.05768825946896677e-15
relative error = 1.7211380278565087420172800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.29
Order of pole = 3.592
x[1] = -0.791
y[1] (analytic) = 0.6151268299254281744081403424165
y[1] (numeric) = 0.6151268299254271168748603534249
absolute error = 1.05753327998899160e-15
relative error = 1.7192117601457838532796000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.289
Order of pole = 3.593
x[1] = -0.79
y[1] (analytic) = 0.61572563265808755618496398005049
y[1] (numeric) = 0.61572563265808649883470386685708
absolute error = 1.05735026011319341e-15
relative error = 1.7172425574498374171810000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.288
Order of pole = 3.594
x[1] = -0.789
y[1] (analytic) = 0.61632484263685955374383444035547
y[1] (numeric) = 0.61632484263685849660484740334268
absolute error = 1.05713898703701279e-15
relative error = 1.7152302063862810290435900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.288
Order of pole = 3.594
x[1] = -0.788
y[1] (analytic) = 0.61692445883386471093387556880435
y[1] (numeric) = 0.61692445883386365403462822684439
absolute error = 1.05689924734195996e-15
relative error = 1.7131744935834659454022400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.287
Order of pole = 3.595
x[1] = -0.787
y[1] (analytic) = 0.61752448021420689169670408659175
y[1] (numeric) = 0.61752448021420583506587708509185
absolute error = 1.05663082700149990e-15
relative error = 1.7110752056905918915631000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.287
Order of pole = 3.595
x[1] = -0.786
y[1] (analytic) = 0.6181249057359518752673390217308
y[1] (numeric) = 0.61812490573595081893382763468853
absolute error = 1.05633351138704227e-15
relative error = 1.7089321293879114362369200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.286
Order of pole = 3.596
x[1] = -0.785
y[1] (analytic) = 0.6187257343501059567820074556451
y[1] (numeric) = 0.61872573435010490077492218160833
absolute error = 1.05600708527403677e-15
relative error = 1.7067450513970300785932500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.6MB, time=31.01
Complex estimate of poles used
Radius of convergence = 1.285
Order of pole = 3.597
x[1] = -0.784
y[1] (analytic) = 0.61932696500059455388640057077173
y[1] (numeric) = 0.61932696500059349823506772259696
absolute error = 1.05565133284817477e-15
relative error = 1.7045137584913024814291200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.285
Order of pole = 3.597
x[1] = -0.783
y[1] (analytic) = 0.61992859662424081994235903908588
y[1] (numeric) = 0.61992859662423976467632132738803
absolute error = 1.05526603771169785e-15
relative error = 1.7022380375063249731586500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.284
Order of pole = 3.598
x[1] = -0.782
y[1] (analytic) = 0.62053062815074426443540400267076
y[1] (numeric) = 0.62053062815074320958442111285678
absolute error = 1.05485098288981398e-15
relative error = 1.6999176753505245843055200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.284
Order of pole = 3.599
x[1] = -0.781
y[1] (analytic) = 0.62113305850265938118997913614056
y[1] (numeric) = 0.62113305850265832678402829891831
absolute error = 1.05440595083722225e-15
relative error = 1.6975524590158451708322500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.283
Order of pole = 3.599
x[1] = -0.78
y[1] (analytic) = 0.62173588659537428500373041531957
y[1] (numeric) = 0.62173588659537323107300697057295
absolute error = 1.05393072344474662e-15
relative error = 1.6951421755885304636080000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.282
Order of pole = 3.6
x[1] = -0.779
y[1] (analytic) = 0.62233911133708935731662311330119
y[1] (numeric) = 0.62233911133708830389154106722154
absolute error = 1.05342508204607965e-15
relative error = 1.6926866122600046708856500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.282
Order of pole = 3.601
x[1] = -0.778
y[1] (analytic) = 0.622942731628795901535180067826
y[1] (numeric) = 0.62294273162879484864637264318919
absolute error = 1.05288880742463681e-15
relative error = 1.6901855563378506769040400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.281
Order of pole = 3.601
x[1] = -0.777
y[1] (analytic) = 0.62354674636425480863662127454202
y[1] (numeric) = 0.62354674636425375631494145401986
absolute error = 1.05232167982052216e-15
relative error = 1.6876387952568861831346400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.281
Order of pole = 3.602
x[1] = -0.776
y[1] (analytic) = 0.62415115442997523368219221858273
y[1] (numeric) = 0.62415115442997418195871328097664
absolute error = 1.05172347893760609e-15
relative error = 1.6850461165903379748518400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.28
Order of pole = 3.603
x[1] = -0.775
y[1] (analytic) = 0.6247559547051932838734869191722
y[1] (numeric) = 0.62475595470519223277950296845632
absolute error = 1.05109398395071588e-15
relative error = 1.6824073080611146054250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.279
Order of pole = 3.603
x[1] = -0.774
y[1] (analytic) = 0.62536114606185071879010128349122
y[1] (numeric) = 0.62536114606184966835712777055143
absolute error = 1.05043297351293979e-15
relative error = 1.6797221575531777076340400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.279
Order of pole = 3.604
x[1] = -0.773
y[1] (analytic) = 0.62596672736457366345149289934643
y[1] (numeric) = 0.62596672736457261371126713630103
absolute error = 1.04974022576304540e-15
relative error = 1.6769904531230121548166000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.278
Order of pole = 3.605
x[1] = -0.772
y[1] (analytic) = 0.6265726974706513348504746914756
y[1] (numeric) = 0.62657269747065028583495635846267
absolute error = 1.04901551833301293e-15
relative error = 1.6742119830111953080731200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.278
Order of pole = 3.605
x[1] = -0.771
y[1] (analytic) = 0.62717905523001478261033177144843
y[1] (numeric) = 0.62717905523001373435170341576416
absolute error = 1.04825862835568427e-15
relative error = 1.6713865356540655831430700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.277
Order of pole = 3.606
x[1] = -0.77
y[1] (analytic) = 0.62778579948521564442212317157386
y[1] (numeric) = 0.62778579948521459695279069904555
absolute error = 1.04746933247252831e-15
relative error = 1.6685138996954903449990000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.276
Order of pole = 3.607
x[1] = -0.769
y[1] (analytic) = 0.62839292907140491692331281211491
y[1] (numeric) = 0.62839292907140387027590597059131
absolute error = 1.04664740684152360e-15
relative error = 1.6655938639987338376196000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.276
Order of pole = 3.608
x[1] = -0.768
y[1] (analytic) = 0.62900044281631174268346684916066
y[1] (numeric) = 0.62900044281631069689083970400199
absolute error = 1.04579262714515867e-15
relative error = 1.6626262176584247373740800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.275
Order of pole = 3.608
x[1] = -0.767
y[1] (analytic) = 0.6296083395402222139673573260282
y[1] (numeric) = 0.62960833954022116906258872747725
absolute error = 1.04490476859855095e-15
relative error = 1.6596107500126238898245500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.275
Order of pole = 3.609
x[1] = -0.766
y[1] (analytic) = 0.63021661805595819395042463995725
y[1] (numeric) = 0.63021661805595714996681868227231
absolute error = 1.04398360595768494e-15
relative error = 1.6565472506549923246546400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.274
Order of pole = 3.61
x[1] = -0.765
y[1] (analytic) = 0.63082527716885615606617357157501
y[1] (numeric) = 0.63082527716885511303726004380465
absolute error = 1.04302891352777036e-15
relative error = 1.6534355094470597689310000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.273
Order of pole = 3.61
x[1] = -0.764
y[1] (analytic) = 0.63143431567674604216970933815581
y[1] (numeric) = 0.63143431567674500012924416643485
absolute error = 1.04204046517172096e-15
relative error = 1.6502753165305937974681600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.273
Order of pole = 3.611
x[1] = -0.763
y[1] (analytic) = 0.6320437323699301402062611516216
y[1] (numeric) = 0.63204373236992909918822683286703
absolute error = 1.04101803431875457e-15
relative error = 1.6470664623400695992623300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.272
Order of pole = 3.612
x[1] = -0.762
y[1] (analytic) = 0.63265352603116198207819091458924
y[1] (numeric) = 0.63265352603116094211679694147385
absolute error = 1.03996139397311539e-15
relative error = 1.6438087376152410025111600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=206.0MB, alloc=4.6MB, time=31.61
Complex estimate of poles used
Radius of convergence = 1.272
Order of pole = 3.612
x[1] = -0.761
y[1] (analytic) = 0.63326369543562526240864379613722
y[1] (numeric) = 0.63326369543562422353832707321838
absolute error = 1.03887031672291884e-15
relative error = 1.6405019334138123215396400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.271
Order of pole = 3.613
x[1] = -0.76
y[1] (analytic) = 0.63387423935091277890466531440162
y[1] (numeric) = 0.63387423935091174116009056528171
absolute error = 1.03774457474911991e-15
relative error = 1.6371458411242115700160000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.271
Order of pole = 3.614
x[1] = -0.759
y[1] (analytic) = 0.63448515653700539502728603415687
y[1] (numeric) = 0.6344851565370043584433461995512
absolute error = 1.03658393983460567e-15
relative error = 1.6337402524784651389792700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.27
Order of pole = 3.614
x[1] = -0.758
y[1] (analytic) = 0.63509644574625102568075988019541
y[1] (numeric) = 0.63509644574624999029257650678293
absolute error = 1.03538818337341248e-15
relative error = 1.6302849595651738481587200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.269
Order of pole = 3.615
x[1] = -0.757
y[1] (analytic) = 0.63570810572334364663783518504509
y[1] (numeric) = 0.63570810572334261248075880497641
absolute error = 1.03415707638006868e-15
relative error = 1.6267797548425906570053200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.269
Order of pole = 3.616
x[1] = -0.756
y[1] (analytic) = 0.63632013520530232842263874324228
y[1] (numeric) = 0.63632013520530129553224924417875
absolute error = 1.03289038949906353e-15
relative error = 1.6232244311518003036820800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.268
Order of pole = 3.616
x[1] = -0.755
y[1] (analytic) = 0.63693253292145029537746214232257
y[1] (numeric) = 0.6369325329214492637895691278798
absolute error = 1.03158789301444277e-15
relative error = 1.6196187817300005099692500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.268
Order of pole = 3.617
x[1] = -0.754
y[1] (analytic) = 0.63754529759339401064445628861931
y[1] (numeric) = 0.63754529759339298039509942908748
absolute error = 1.03024935685953183e-15
relative error = 1.6159626002238854278642800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.267
Order of pole = 3.618
x[1] = -0.753
y[1] (analytic) = 0.6381584279350022877979641469832
y[1] (numeric) = 0.63815842793500125892341352019617
absolute error = 1.02887455062678703e-15
relative error = 1.6122556807031309170932700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.266
Order of pole = 3.618
x[1] = -0.752
y[1] (analytic) = 0.6387719226523854298679530681493
y[1] (numeric) = 0.6387719226523844024047094903736
absolute error = 1.02746324357777570e-15
relative error = 1.6084978176739821694528000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.266
Order of pole = 3.619
x[1] = -0.751
y[1] (analytic) = 0.63938578044387439649974648353805
y[1] (numeric) = 0.63938578044387337048454183025244
absolute error = 1.02601520465328561e-15
relative error = 1.6046888060929433473256100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.265
Order of pole = 3.619
x[1] = -0.75
y[1] (analytic) = 0.64
y[1] (numeric) = 0.63999999999999897546979751643541
absolute error = 1.02453020248356459e-15
relative error = 1.6008284413805696718750000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.265
Order of pole = 3.62
x[1] = -0.749
y[1] (analytic) = 0.64061458000347213102361881895015
y[1] (numeric) = 0.64061458000347110801561342025936
absolute error = 1.02300800539869079e-15
relative error = 1.5969165194353617218807900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.264
Order of pole = 3.621
x[1] = -0.748
y[1] (analytic) = 0.64122951912915901466107172536909
y[1] (numeric) = 0.64122951912915799321269028629472
absolute error = 1.02144838143907437e-15
relative error = 1.5929528366477622363124800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.264
Order of pole = 3.621
x[1] = -0.747
y[1] (analytic) = 0.64184481604406649769032142946543
y[1] (numeric) = 0.64184481604406547783922306337429
absolute error = 1.01985109836609114e-15
relative error = 1.5889371899142552909402600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.263
Order of pole = 3.622
x[1] = -0.746
y[1] (analytic) = 0.64246046940731736776236158189187
y[1] (numeric) = 0.64246046940731634954643790904306
absolute error = 1.01821592367284881e-15
relative error = 1.5848693766515679383459600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.262
Order of pole = 3.622
x[1] = -0.745
y[1] (analytic) = 0.64307647787013070529412710406585
y[1] (numeric) = 0.64307647787012968875150250897933
absolute error = 1.01654262459508652e-15
relative error = 1.5807491948109744157630000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.262
Order of pole = 3.623
x[1] = -0.744
y[1] (analytic) = 0.64369284007580126884732635741946
y[1] (numeric) = 0.64369284007580025401635823521126
absolute error = 1.01483096812220820e-15
relative error = 1.5765764428927028381952000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.261
Order of pole = 3.623
x[1] = -0.743
y[1] (analytic) = 0.64430955465967891477653089560961
y[1] (numeric) = 0.64430955465967790169580988715923
absolute error = 1.01308072100845038e-15
relative error = 1.5723509199604444038286200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.261
Order of pole = 3.624
x[1] = -0.742
y[1] (analytic) = 0.64492662024914805193465087542339
y[1] (numeric) = 0.64492662024914704064300109123833
absolute error = 1.01129164978418506e-15
relative error = 1.5680724256559651233738400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.26
Order of pole = 3.624
x[1] = -0.741
y[1] (analytic) = 0.64554403546360713222872141611704
y[1] (numeric) = 0.64554403546360612276520064875876
absolute error = 1.00946352076735828e-15
relative error = 1.5637407602138201317406800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.259
Order of pole = 3.625
x[1] = -0.74
y[1] (analytic) = 0.64616179891444817782372706125614
y[1] (numeric) = 0.64616179891444717022762698619127
absolute error = 1.00759610007506487e-15
relative error = 1.5593557244761703928120000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.259
Order of pole = 3.625
x[1] = -0.739
y[1] (analytic) = 0.64677990920503634579699777701745
y[1] (numeric) = 0.64677990920503534010784414175734
absolute error = 1.00568915363526011e-15
relative error = 1.5549171199077019965333100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.6MB, time=32.21
Complex estimate of poles used
Radius of convergence = 1.258
Order of pole = 3.625
x[1] = -0.738
y[1] (analytic) = 0.64739836493068953105052037880573
y[1] (numeric) = 0.64739836493068852730807318019695
absolute error = 1.00374244719860878e-15
relative error = 1.5504247486106478603743200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.258
Order of pole = 3.626
x[1] = -0.737
y[1] (analytic) = 0.64801716467865800829332367355747
y[1] (numeric) = 0.64801716467865700653757732308533
absolute error = 1.00175574635047214e-15
relative error = 1.5458784133399117418116600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.257
Order of pole = 3.626
x[1] = -0.736
y[1] (analytic) = 0.64863630702810411391091369504753
y[1] (numeric) = 0.64863630702810311418209717201402
absolute error = 9.9972881652303351e-16
relative error = 1.5412779175182946702329600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.257
Order of pole = 3.626
x[1] = -0.735
y[1] (analytic) = 0.64925579055008196854355694784853
y[1] (numeric) = 0.64925579055008097088213394028554
absolute error = 9.9766142300756299e-16
relative error = 1.5366230652518237062727500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.256
Order of pole = 3.627
x[1] = -0.734
y[1] (analytic) = 0.64987561380751724120003431343241
y[1] (numeric) = 0.64987561380751624564670334661072
absolute error = 9.9555333096682169e-16
relative error = 1.5319136613451826764176400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.255
Order of pole = 3.627
x[1] = -0.733
y[1] (analytic) = 0.65049577535518695573831595750701
y[1] (numeric) = 0.65049577535518596233401050990067
absolute error = 9.9340430544760634e-16
relative error = 1.5271495113172453028122600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.255
Order of pole = 3.627
x[1] = -0.732
y[1] (analytic) = 0.65111627373969934054943795643251
y[1] (numeric) = 0.651116273739698349335326562998
absolute error = 9.9121411139343451e-16
relative error = 1.5223304214167101628862400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.254
Order of pole = 3.628
x[1] = -0.731
y[1] (analytic) = 0.65173710749947372228569417496925
y[1] (numeric) = 0.65173710749947273330318051759817
absolute error = 9.8898251365737108e-16
relative error = 1.5174561986378375476798800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.254
Order of pole = 3.628
x[1] = -0.73
y[1] (analytic) = 0.65235827516472046447909191728097
y[1] (numeric) = 0.65235827516471947776981490228436
absolute error = 9.8670927701499661e-16
relative error = 1.5125266507362883034690000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.253
Order of pole = 3.628
x[1] = -0.729
y[1] (analytic) = 0.65297977525742095190085677476312
y[1] (numeric) = 0.65297977525741996750669059724529
absolute error = 9.8439416617751783e-16
relative error = 1.5075415862450640830930300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.252
Order of pole = 3.628
x[1] = -0.728
y[1] (analytic) = 0.65360160629130762151761064167991
y[1] (numeric) = 0.65360160629130663948066483665886
absolute error = 9.8203694580502105e-16
relative error = 1.5025008144905493261632000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.252
Order of pole = 3.628
x[1] = -0.727
y[1] (analytic) = 0.65422376677184404090468679364278
y[1] (numeric) = 0.65422376677184306126730627377393
absolute error = 9.7963738051986885e-16
relative error = 1.4974041456086546134216500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.251
Order of pole = 3.629
x[1] = -0.726
y[1] (analytic) = 0.65484625519620503498188695258127
y[1] (numeric) = 0.65484625519620405778665203234084
absolute error = 9.7719523492024043e-16
relative error = 1.4922513905610610748826800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.251
Order of pole = 3.629
x[1] = -0.725
y[1] (analytic) = 0.65546907005325686194182712003277
y[1] (numeric) = 0.6554690700532558872315535262164
absolute error = 9.7471027359381637e-16
relative error = 1.4870423611515660994812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.25
Order of pole = 3.629
x[1] = -0.724
y[1] (analytic) = 0.65609220982353743924586137034043
y[1] (numeric) = 0.65609220982353646706360023873245
absolute error = 9.7218226113160798e-16
relative error = 1.4817768700425297245244800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.25
Order of pole = 3.629
x[1] = -0.723
y[1] (analytic) = 0.65671567297923662056741547576752
y[1] (numeric) = 0.65671567297923565095645333383561
absolute error = 9.6961096214193191e-16
relative error = 1.4764547307714218353823900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.249
Order of pole = 3.629
x[1] = -0.722
y[1] (analytic) = 0.65733945798417652456740490270061
y[1] (numeric) = 0.65733945798417555757126363817027
absolute error = 9.6699614126453034e-16
relative error = 1.4710757577674697737565600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.248
Order of pole = 3.629
x[1] = -0.721
y[1] (analytic) = 0.65796356329379191639125408513127
y[1] (numeric) = 0.65796356329379095205369090029396
absolute error = 9.6433756318483731e-16
relative error = 1.4656397663684063220677100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.248
Order of pole = 3.629
x[1] = -0.72
y[1] (analytic) = 0.65858798735511064278187565858799
y[1] (numeric) = 0.6585879873551096811468830101965
absolute error = 9.6163499264839149e-16
relative error = 1.4601465728373176384160000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.247
Order of pole = 3.629
x[1] = -0.719
y[1] (analytic) = 0.65921272860673412170780923174689
y[1] (numeric) = 0.65921272860673316281961475635104
absolute error = 9.5888819447539585e-16
relative error = 1.4545959943795909640118500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.247
Order of pole = 3.629
x[1] = -0.718
y[1] (analytic) = 0.65983778547881788741055898817835
y[1] (numeric) = 0.65983778547881693131362541275351
absolute error = 9.5609693357542484e-16
relative error = 1.4489878491599621552161600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.246
Order of pole = 3.629
x[1] = -0.717
y[1] (analytic) = 0.66046315639305219178000764816335
y[1] (numeric) = 0.66046315639305123851903268588431
absolute error = 9.5326097496227904e-16
relative error = 1.4433219563196621093945600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.245
Order of pole = 3.629
x[1] = -0.716
y[1] (analytic) = 0.66108883976264266297162077828667
y[1] (numeric) = 0.66108883976264171259153700929844
absolute error = 9.5038008376898823e-16
relative error = 1.4375981359936626600388800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.245
Order of pole = 3.629
memory used=213.6MB, alloc=4.6MB, time=32.80
x[1] = -0.715
y[1] (analytic) = 0.66171483399229102218398980959156
y[1] (numeric) = 0.66171483399229007472996454662882
absolute error = 9.4745402526296274e-16
relative error = 1.4318162093280208667565000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.244
Order of pole = 3.629
x[1] = -0.714
y[1] (analytic) = 0.66234113747817585952009410542881
y[1] (numeric) = 0.662341137478174915037529244135
absolute error = 9.4448256486129381e-16
relative error = 1.4259759984973219491627600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.244
Order of pole = 3.629
x[1] = -0.713
y[1] (analytic) = 0.66296774860793346986049169666043
y[1] (numeric) = 0.66296774860793252839502355045722
absolute error = 9.4146546814620321e-16
relative error = 1.4200773267222203896644900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.243
Order of pole = 3.628
x[1] = -0.712
y[1] (analytic) = 0.66359466576063874968147456043489
y[1] (numeric) = 0.66359466576063781127897367979256
absolute error = 9.3840250088064233e-16
relative error = 1.4141200182870786753395200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.242
Order of pole = 3.628
x[1] = -0.711
y[1] (analytic) = 0.66422188730678615575604724211751
y[1] (numeric) = 0.66422188730678522046261821807615
absolute error = 9.3529342902404136e-16
relative error = 1.4081038985577037723485600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.242
Order of pole = 3.628
x[1] = -0.71
y[1] (analytic) = 0.6648494116082707266804068878399
y[1] (numeric) = 0.66484941160826979454238813963132
absolute error = 9.3213801874820858e-16
relative error = 1.4020287939991805251780000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.241
Order of pole = 3.628
x[1] = -0.709
y[1] (analytic) = 0.66547723701836916817341804414909
y[1] (numeric) = 0.66547723701836823923738159076873
absolute error = 9.2893603645338036e-16
relative error = 1.3958945321938020527451600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.241
Order of pole = 3.627
x[1] = -0.708
y[1] (analytic) = 0.66610536188172100310138656492129
y[1] (numeric) = 0.66610536188172007741413778049939
absolute error = 9.2568724878442190e-16
relative error = 1.3897009418590963592816000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.24
Order of pole = 3.627
x[1] = -0.707
y[1] (analytic) = 0.66673378453430978718524331449366
y[1] (numeric) = 0.66673378453430886479382066731439
absolute error = 9.2239142264717927e-16
relative error = 1.3834478528659491809302300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.239
Order of pole = 3.627
x[1] = -0.706
y[1] (analytic) = 0.66736250330344439135204973719265
y[1] (numeric) = 0.6673625033034434723037245122099
absolute error = 9.1904832522498275e-16
relative error = 1.3771350962568222519790000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.239
Order of pole = 3.627
x[1] = -0.705
y[1] (analytic) = 0.6679915165077403516975334413253
y[1] (numeric) = 0.66799151650773943603980944602329
absolute error = 9.1565772399530201e-16
relative error = 1.3707625042640669915202500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.238
Order of pole = 3.626
x[1] = -0.704
y[1] (analytic) = 0.66862082245710128803115238135992
y[1] (numeric) = 0.66862082245710037581176563480673
absolute error = 9.1221938674655319e-16
relative error = 1.3643299103283328958150400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.238
Order of pole = 3.626
x[1] = -0.703
y[1] (analytic) = 0.66925041945270039197997067344662
y[1] (numeric) = 0.6692504194526994832468890783884
absolute error = 9.0873308159505822e-16
relative error = 1.3578371491170703478479800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.237
Order of pole = 3.625
x[1] = -0.702
y[1] (analytic) = 0.66988030578696198563240720148124
y[1] (numeric) = 0.66988030578696108043383019932475
absolute error = 9.0519857700215649e-16
relative error = 1.3512840565431272168979600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.236
Order of pole = 3.625
x[1] = -0.701
y[1] (analytic) = 0.67051047974354315170768961533484
y[1] (numeric) = 0.67051047974354225009204782386556
absolute error = 9.0161564179146928e-16
relative error = 1.3446704697834390756612800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.236
Order of pole = 3.625
x[1] = -0.7
y[1] (analytic) = 0.67114093959731543624161073825503
y[1] (numeric) = 0.67114093959731453825756557193805
absolute error = 8.9798404516631698e-16
relative error = 1.3379962272978123002000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.235
Order of pole = 3.624
x[1] = -0.699
y[1] (analytic) = 0.67177168361434662478394143225754
y[1] (numeric) = 0.67177168361434573048038470496819
absolute error = 8.9430355672728935e-16
relative error = 1.3312611688477996536993500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.235
Order of pole = 3.624
x[1] = -0.698
y[1] (analytic) = 0.67240271005188259310760326088418
y[1] (numeric) = 0.6724027100518817025336567709152
absolute error = 8.9057394648996898e-16
relative error = 1.3244651355156678269319200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.234
Order of pole = 3.623
x[1] = -0.697
y[1] (analytic) = 0.67303401715832923343444547717775
y[1] (numeric) = 0.67303401715832834663946057436956
absolute error = 8.8679498490280819e-16
relative error = 1.3176079697234565339757100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.233
Order of pole = 3.623
x[1] = -0.696
y[1] (analytic) = 0.6736656031732344571872035871346
y[1] (numeric) = 0.67366560317323357422076072197526
absolute error = 8.8296644286515934e-16
relative error = 1.3106895152521283668454400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.233
Order of pole = 3.622
x[1] = -0.695
y[1] (analytic) = 0.67429746632727027528194062810809
y[1] (numeric) = 0.67429746632726939619384888264921
absolute error = 8.7908809174545888e-16
relative error = 1.3037096172608091555120000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.232
Order of pole = 3.622
x[1] = -0.694
y[1] (analytic) = 0.67492960484221495697998698735722
y[1] (numeric) = 0.67492960484221408182028358779209
absolute error = 8.7515970339956513e-16
relative error = 1.2966681223061180809526800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.232
Order of pole = 3.621
x[1] = -0.693
y[1] (analytic) = 0.67556201693093526832309969471352
y[1] (numeric) = 0.6755620169309343971420495054636
absolute error = 8.7118105018924992e-16
relative error = 1.2895648783615870048300800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.231
Order of pole = 3.621
x[1] = -0.692
y[1] (analytic) = 0.67619470079736879118025727855976
y[1] (numeric) = 0.67619470079736792402835227771554
memory used=217.4MB, alloc=4.6MB, time=33.40
absolute error = 8.6715190500084422e-16
relative error = 1.2823997348371684865660800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.23
Order of pole = 3.62
x[1] = -0.691
y[1] (analytic) = 0.67682765463650632393919109619684
y[1] (numeric) = 0.6768276546365054608671498321591
absolute error = 8.6307204126403774e-16
relative error = 1.2751725425988317441329400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.23
Order of pole = 3.62
x[1] = -0.69
y[1] (analytic) = 0.67746087663437436488042815527403
y[1] (numeric) = 0.67746087663437350593919518444136
absolute error = 8.5894123297083267e-16
relative error = 1.2678831539882461041870000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.229
Order of pole = 3.619
x[1] = -0.689
y[1] (analytic) = 0.67809436496801767927628344615693
y[1] (numeric) = 0.67809436496801682451702875150539
absolute error = 8.5475925469465154e-16
relative error = 1.2605314228425512137203400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.229
Order of pole = 3.618
x[1] = -0.688
y[1] (analytic) = 0.67872811780548195126189131662395
y[1] (numeric) = 0.67872811780548110073600970702477
absolute error = 8.5052588160959918e-16
relative error = 1.2531172045142132942579200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.228
Order of pole = 3.618
x[1] = -0.687
y[1] (analytic) = 0.67936213330579652153000504766065
y[1] (numeric) = 0.67936213330579567528911553778176
absolute error = 8.4624088950987889e-16
relative error = 1.2456403558909669198344100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.227
Order of pole = 3.617
x[1] = -0.686
y[1] (analytic) = 0.6799964096189572119059211367364
y[1] (numeric) = 0.67999640961895637000186630737367
absolute error = 8.4190405482936273e-16
relative error = 1.2381007354158415132870800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.227
Order of pole = 3.617
x[1] = -0.685
y[1] (analytic) = 0.68063094488590923786349946400313
y[1] (numeric) = 0.68063094488590840034834480268716
absolute error = 8.3751515466131597e-16
relative error = 1.2304982031072719560232500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.226
Order of pole = 3.616
x[1] = -0.684
y[1] (analytic) = 0.68126573723853021004785210538363
y[1] (numeric) = 0.68126573723852937697388532710802
absolute error = 8.3307396677827561e-16
relative error = 1.2228326205792925237921600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.226
Order of pole = 3.615
x[1] = -0.683
y[1] (analytic) = 0.68190078479961322587486165937828
y[1] (numeric) = 0.68190078479961239729459200729538
absolute error = 8.2858026965208290e-16
relative error = 1.2151038510618133999381000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.225
Order of pole = 3.615
x[1] = -0.682
y[1] (analytic) = 0.68253608568285005228226416330631
y[1] (numeric) = 0.68253608568284922824842168923644
absolute error = 8.2403384247406987e-16
relative error = 1.2073117594209791442138800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.225
Order of pole = 3.614
x[1] = -0.681
y[1] (analytic) = 0.68317163799281440071159157813332
y[1] (numeric) = 0.68317163799281358127712640273363
absolute error = 8.1943446517539969e-16
relative error = 1.1994562121796082256340900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.224
Order of pole = 3.613
x[1] = -0.68
y[1] (analytic) = 0.68380743982494529540481400437637
y[1] (numeric) = 0.68380743982494448062289555681562
absolute error = 8.1478191844756075e-16
relative error = 1.1915370775377128408000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.223
Order of pole = 3.613
x[1] = -0.679
y[1] (analytic) = 0.6844434892655305361040518370121
y[1] (numeric) = 0.68444348926552972602806807399762
absolute error = 8.1007598376301448e-16
relative error = 1.1835542253930984388736800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.223
Order of pole = 3.612
x[1] = -0.678
y[1] (analytic) = 0.68507978439169025624724255386782
y[1] (numeric) = 0.68507978439168945093079915787129
absolute error = 8.0531644339599653e-16
relative error = 1.1755075273620417988965200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.222
Order of pole = 3.611
x[1] = -0.677
y[1] (analytic) = 0.68571632327136057775714533551757
y[1] (numeric) = 0.68571632327135977725406489204626
absolute error = 8.0050308044347131e-16
relative error = 1.1673968568000470720409900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.222
Order of pole = 3.611
x[1] = -0.676
y[1] (analytic) = 0.68635310396327736352554880794193
y[1] (numeric) = 0.68635310396327656788986996170226
absolute error = 7.9563567884623967e-16
relative error = 1.1592220888226788894379200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.221
Order of pole = 3.61
x[1] = -0.675
y[1] (analytic) = 0.68699012451696006869901245169601
y[1] (numeric) = 0.68699012451695927798498904149646
absolute error = 7.9071402341019955e-16
relative error = 1.1509831003264717199687500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.22
Order of pole = 3.609
x[1] = -0.674
y[1] (analytic) = 0.68762738297269569187692019946695
y[1] (numeric) = 0.68762738297269490613902037170769
absolute error = 7.8573789982775926e-16
relative error = 1.1426797700099144255957600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.22
Order of pole = 3.609
x[1] = -0.673
y[1] (analytic) = 0.68826487736152282733705501094685
y[1] (numeric) = 0.68826487736152204662996031154351
absolute error = 7.8070709469940334e-16
relative error = 1.1343119783945093953828600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.219
Order of pole = 3.608
x[1] = -0.672
y[1] (analytic) = 0.6889026057052158194083153300119
y[1] (numeric) = 0.68890260570521504378691977460138
absolute error = 7.7562139555541052e-16
relative error = 1.1258796078459050242636800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.219
Order of pole = 3.607
x[1] = -0.671
y[1] (analytic) = 0.68954056601626902011458785126058
y[1] (numeric) = 0.68954056601626824963399697353683
absolute error = 7.7048059087772375e-16
relative error = 1.1173825425951009689237500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.218
Order of pole = 3.607
x[1] = -0.67
y[1] (analytic) = 0.69017875629788115121816550486576
y[1] (numeric) = 0.690178756297880385933695382894
absolute error = 7.6528447012197176e-16
relative error = 1.1088206687597248830640000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.217
Order of pole = 3.606
x[1] = -0.669
y[1] (analytic) = 0.69081717454393977179545456115494
y[1] (numeric) = 0.69081717454393901176263082151291
absolute error = 7.6003282373964203e-16
relative error = 1.1001938743653799565888300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.6MB, time=33.99
Complex estimate of poles used
Radius of convergence = 1.217
Order of pole = 3.605
x[1] = -0.668
y[1] (analytic) = 0.69145581873900585248204980694554
y[1] (numeric) = 0.69145581873900509775660660654083
absolute error = 7.5472544320040471e-16
relative error = 1.0915020493670621013150400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.216
Order of pole = 3.605
x[1] = -0.667
y[1] (analytic) = 0.69209468685829845752857139891023
y[1] (numeric) = 0.69209468685829770816645038432306
absolute error = 7.4936212101458717e-16
relative error = 1.0827450856706458414741300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.216
Order of pole = 3.604
x[1] = -0.666
y[1] (analytic) = 0.6927337768676795358129507965053
y[1] (numeric) = 0.69273377686767879187030004070647
absolute error = 7.4394265075579883e-16
relative error = 1.0739228771544379358394800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.215
Order of pole = 3.603
x[1] = -0.665
y[1] (analytic) = 0.69337308672363882195912565653764
y[1] (numeric) = 0.69337308672363808349229857283183
absolute error = 7.3846682708370581e-16
relative error = 1.0650353196907976118272500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.214
Order of pole = 3.603
x[1] = -0.664
y[1] (analytic) = 0.69401261437327884871635426845518
y[1] (numeric) = 0.69401261437327811578190850150014
absolute error = 7.3293444576695504e-16
relative error = 1.0560823111678224493158400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.214
Order of pole = 3.602
x[1] = -0.663
y[1] (analytic) = 0.6946523577543000717575885560192
y[1] (numeric) = 0.69465235775429934441228484977184
absolute error = 7.2734530370624736e-16
relative error = 1.0470637515110988057878400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.213
Order of pole = 3.601
x[1] = -0.662
y[1] (analytic) = 0.69529231479498610805955039617756
y[1] (numeric) = 0.69529231479498538636035143861846
absolute error = 7.2169919895755910e-16
relative error = 1.0379795427055156302204000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.213
Order of pole = 3.601
x[1] = -0.661
y[1] (analytic) = 0.69593248341418908903133853566062
y[1] (numeric) = 0.69593248341418837303540778014881
absolute error = 7.1599593075551181e-16
relative error = 1.0288295888171407855370100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.212
Order of pole = 3.6
x[1] = -0.66
y[1] (analytic) = 0.69657286152131512956255224296461
y[1] (numeric) = 0.69657286152131441932725270607518
absolute error = 7.1023529953688943e-16
relative error = 1.0196137960151584657080000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.212
Order of pole = 3.6
x[1] = -0.659
y[1] (analytic) = 0.69721344701630991416605253782209
y[1] (numeric) = 0.6972134470163092097489455735196
absolute error = 7.0441710696430249e-16
relative error = 1.0103320725938667396596900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.211
Order of pole = 3.599
x[1] = -0.658
y[1] (analytic) = 0.69785423778964440139459190879883
y[1] (numeric) = 0.69785423778964370285343595880006
absolute error = 6.9854115594999877e-16
relative error = 1.0009843289947340374542800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.21
Order of pole = 3.599
x[1] = -0.657
y[1] (analytic) = 0.69849523172230064771462837608939
y[1] (numeric) = 0.69849523172229995510737769626949
absolute error = 6.9260725067981990e-16
relative error = 9.9157047782851348001510000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.21
Order of pole = 3.598
x[1] = -0.656
y[1] (analytic) = 0.69913642668575775202469909168195
y[1] (numeric) = 0.6991364266857570654095024543788
absolute error = 6.8661519663730315e-16
relative error = 9.8209043389741363835840000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.209
Order of pole = 3.597
x[1] = -0.655
y[1] (analytic) = 0.69977782054197792200976190059656
y[1] (numeric) = 0.6997778205419772414449612726686
absolute error = 6.8056480062792796e-16
relative error = 9.7254411421732475303900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.209
Order of pole = 3.597
x[1] = -0.654
y[1] (analytic) = 0.70041941114339266352691991964789
y[1] (numeric) = 0.70041941114339198907104911614147
absolute error = 6.7445587080350642e-16
relative error = 9.6293143804009897193671999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.208
Order of pole = 3.596
x[1] = -0.653
y[1] (analytic) = 0.70106119633288909422192372594396
y[1] (numeric) = 0.70106119633288842593370703922679
absolute error = 6.6828821668671717e-16
relative error = 9.5325232687588355174253000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.208
Order of pole = 3.596
x[1] = -0.652
y[1] (analytic) = 0.70170317394379638257979768494089
y[1] (numeric) = 0.70170317394379572051814848915892
absolute error = 6.6206164919578197e-16
relative error = 9.4350670451550566857488000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.207
Order of pole = 3.595
x[1] = -0.651
y[1] (analytic) = 0.70234534179987231361686078321338
y[1] (numeric) = 0.70234534179987165784088011392924
absolute error = 6.5577598066928414e-16
relative error = 9.3369449705290742781614000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.206
Order of pole = 3.595
x[1] = -0.65
y[1] (analytic) = 0.70298769771528998242530755711775
y[1] (numeric) = 0.70298769771528933299428266598943
absolute error = 6.4943102489112832e-16
relative error = 9.2381563290763003520000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.206
Order of pole = 3.595
x[1] = -0.649
y[1] (analytic) = 0.70363023949462461678538081524007
y[1] (numeric) = 0.70363023949462397375878369959952
absolute error = 6.4302659711564055e-16
relative error = 9.1387004284734546530055000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.205
Order of pole = 3.594
x[1] = -0.648
y[1] (analytic) = 0.7042729649328405300640043270531
y[1] (numeric) = 0.70427296493283989350149023424495
absolute error = 6.3656251409280815e-16
relative error = 9.0385766001043466341760000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.205
Order of pole = 3.594
x[1] = -0.647
y[1] (analytic) = 0.70491587181527820562254997677302
y[1] (numeric) = 0.70491587181527757558395588311468
absolute error = 6.3003859409365834e-16
relative error = 8.9377841992861056404906000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.204
Order of pole = 3.593
x[1] = -0.646
y[1] (analytic) = 0.70555895791764151396018954135845
y[1] (numeric) = 0.70555895791764089050553260558352
absolute error = 6.2345465693577493e-16
relative error = 8.8363226054958478068788000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.6MB, time=34.57
Complex estimate of poles used
Radius of convergence = 1.204
Order of pole = 3.593
x[1] = -0.645
y[1] (analytic) = 0.7062022210059850638230257234159
y[1] (numeric) = 0.70620222100598444701250171446376
absolute error = 6.1681052400895214e-16
relative error = 8.7341912225977645404350000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.203
Order of pole = 3.593
x[1] = -0.644
y[1] (analytic) = 0.70684565883670168851290982911299
y[1] (numeric) = 0.70684565883670107840689152812835
absolute error = 6.1010601830098464e-16
relative error = 8.6313894790706180565504000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.202
Order of pole = 3.592
x[1] = -0.643
y[1] (analytic) = 0.70748926915651006863353400087304
y[1] (numeric) = 0.70748926915650946529256957728
absolute error = 6.0334096442359304e-16
relative error = 8.5279168282356315879496000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.202
Order of pole = 3.592
x[1] = -0.642
y[1] (analytic) = 0.70813304970244249251503366464518
y[1] (numeric) = 0.70813304970244189599984502616151
absolute error = 5.9651518863848367e-16
relative error = 8.4237727484847565336188000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.201
Order of pole = 3.592
x[1] = -0.641
y[1] (analytic) = 0.70877699820183275556195029913933
y[1] (numeric) = 0.70877699820183216593343141559746
absolute error = 5.8962851888354187e-16
relative error = 8.3189567435093043708747000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.201
Order of pole = 3.592
x[1] = -0.64
y[1] (analytic) = 0.70942111237230419977298524404086
y[1] (numeric) = 0.70942111237230361709220044488316
absolute error = 5.8268078479915770e-16
relative error = 8.2134683425289269392000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.2
Order of pole = 3.591
x[1] = -0.639
y[1] (analytic) = 0.71006538992175789468452149758471
y[1] (numeric) = 0.71006538992175731901270374290159
absolute error = 5.7567181775468312e-16
relative error = 8.1073071005209308624152000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.2
Order of pole = 3.591
x[1] = -0.638
y[1] (analytic) = 0.71070982854836096099340176995176
y[1] (numeric) = 0.71070982854836039239195089493227
absolute error = 5.6860145087501949e-16
relative error = 8.0004725984499092328756000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.199
Order of pole = 3.591
x[1] = -0.637
y[1] (analytic) = 0.71135442594053503811792691402357
y[1] (numeric) = 0.71135442594053447664840784668915
absolute error = 5.6146951906733442e-16
relative error = 7.8929644434976764026898000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.199
Order of pole = 3.591
x[1] = -0.636
y[1] (analytic) = 0.71199917977694489695947870268053
y[1] (numeric) = 0.71199917977694434268361965477368
absolute error = 5.5427585904790685e-16
relative error = 7.7847822692934897919760000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.198
Order of pole = 3.591
x[1] = -0.635
y[1] (analytic) = 0.71264408772648719913057421297369
y[1] (numeric) = 0.71264408772648665211026484387449
absolute error = 5.4702030936909920e-16
relative error = 7.6759257361445422492000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.197
Order of pole = 3.591
x[1] = -0.634
y[1] (analytic) = 0.71328914744827940391852526042187
y[1] (numeric) = 0.71328914744827886421581481396649
absolute error = 5.3970271044645538e-16
relative error = 7.5663945312667079872328000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.197
Order of pole = 3.591
x[1] = -0.633
y[1] (analytic) = 0.71393435659164882425720484704313
y[1] (numeric) = 0.71393435659164829193430026111941
absolute error = 5.3232290458592372e-16
relative error = 7.4561883690155290944308000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.196
Order of pole = 3.59
x[1] = -0.632
y[1] (analytic) = 0.71457971279612183298271288758804
y[1] (numeric) = 0.71457971279612130810197687638477
absolute error = 5.2488073601120327e-16
relative error = 7.3453069911174212491648000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.196
Order of pole = 3.59
x[1] = -0.631
y[1] (analytic) = 0.71522521369141322065198500029682
y[1] (numeric) = 0.71522521369141270327593410908435
absolute error = 5.1737605089121247e-16
relative error = 7.2337501669010851826767000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.195
Order of pole = 3.59
x[1] = -0.63
y[1] (analytic) = 0.71587085689741570620660032930059
y[1] (numeric) = 0.71587085689741519639790296162171
absolute error = 5.0980869736767888e-16
relative error = 7.1215176935291062747200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.195
Order of pole = 3.59
x[1] = -0.629
y[1] (analytic) = 0.71651664002418960176721664095566
y[1] (numeric) = 0.71651664002418909958869105810703
absolute error = 5.0217852558284863e-16
relative error = 7.0086093962297244482183000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.194
Order of pole = 3.591
x[1] = -0.628
y[1] (analytic) = 0.71716256067195263284719273887251
y[1] (numeric) = 0.71716256067195213836180503155825
absolute error = 4.9448538770731426e-16
relative error = 6.8950251285287568711584000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.194
Order of pole = 3.591
x[1] = -0.627
y[1] (analytic) = 0.71780861643106991527704900264082
y[1] (numeric) = 0.71780861643106942854791103468118
absolute error = 4.8672913796795964e-16
relative error = 6.7807647724816564531356000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.193
Order of pole = 3.591
x[1] = -0.626
y[1] (analytic) = 0.71845480488204409013446600128172
y[1] (numeric) = 0.7184548048820436112248333252611
absolute error = 4.7890963267602062e-16
relative error = 6.6658282389056887648312000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.193
Order of pole = 3.591
x[1] = -0.625
y[1] (analytic) = 0.71910112359550561797752808988764
y[1] (numeric) = 0.71910112359550514695079783462774
absolute error = 4.7102673025525990e-16
relative error = 6.5502154676122079843750000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.192
Order of pole = 3.591
x[1] = -0.624
y[1] (analytic) = 0.71974757013220323368188308996269
y[1] (numeric) = 0.71974757013220277060159181970799
absolute error = 4.6308029127025470e-16
relative error = 6.4339264276390139406720000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.192
Order of pole = 3.591
x[1] = -0.623
y[1] (analytic) = 0.72039414204299456318541000152003
y[1] (numeric) = 0.72039414204299410811523154672413
absolute error = 4.5507017845479590e-16
relative error = 6.3169611174827737787110000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=228.8MB, alloc=4.6MB, time=35.16
Complex estimate of poles used
Radius of convergence = 1.191
Order of pole = 3.591
x[1] = -0.622
y[1] (analytic) = 0.72104083686883690344686361656779
y[1] (numeric) = 0.72104083686883645645060687617085
absolute error = 4.4699625674039694e-16
relative error = 6.1993195653314866973496000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.19
Order of pole = 3.592
x[1] = -0.621
y[1] (analytic) = 0.72168765214077816692779731546627
y[1] (numeric) = 0.72168765214077772806940403055518
absolute error = 4.3885839328491109e-16
relative error = 6.0810018292969748765869000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.19
Order of pole = 3.592
x[1] = -0.62
y[1] (analytic) = 0.72233458537994799190985264374458
y[1] (numeric) = 0.72233458537994756125339514248907
absolute error = 4.3065645750125551e-16
relative error = 5.9620079976473812804400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.189
Order of pole = 3.592
x[1] = -0.619
y[1] (analytic) = 0.72298163409754901996224589906743
y[1] (numeric) = 0.72298163409754859757192481282696
absolute error = 4.2239032108624047e-16
relative error = 5.8423381890396545472567000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.189
Order of pole = 3.592
x[1] = -0.618
y[1] (analytic) = 0.72362879579484834187697731568451
y[1] (numeric) = 0.72362879579484792781711926618242
absolute error = 4.1405985804950209e-16
relative error = 5.7219925527520012622116000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.188
Order of pole = 3.593
x[1] = -0.617
y[1] (analytic) = 0.72427606796316911339193692424579
y[1] (numeric) = 0.72427606796316870772699218170868
absolute error = 4.0566494474253711e-16
relative error = 5.6009712689162881986879000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.188
Order of pole = 3.593
x[1] = -0.616
y[1] (analytic) = 0.72492344808388234202468219356036
y[1] (numeric) = 0.72492344808388194481922230572262
absolute error = 3.9720545988783774e-16
relative error = 5.4792745487503709746944000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.187
Order of pole = 3.593
x[1] = -0.615
y[1] (analytic) = 0.72557093362839884634221553084583
y[1] (numeric) = 0.72557093362839845766093092272074
absolute error = 3.8868128460812509e-16
relative error = 5.3569026347903320216525000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.187
Order of pole = 3.594
x[1] = -0.614
y[1] (analytic) = 0.7262185220581613889945940293218
y[1] (numeric) = 0.72621852205816100890229157364237
absolute error = 3.8009230245567943e-16
relative error = 5.2338558011226075239228000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.186
Order of pole = 3.594
x[1] = -0.613
y[1] (analytic) = 0.72686621082463698484265890567384
y[1] (numeric) = 0.72686621082463661340425946390856
absolute error = 3.7143839944176528e-16
relative error = 5.1101343536159797750032000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.186
Order of pole = 3.595
x[1] = -0.612
y[1] (analytic) = 0.72751399736930938551257726198652
y[1] (numeric) = 0.72751399736930902279311319583665
absolute error = 3.6271946406614987e-16
relative error = 4.9857386301534190690928000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.185
Order of pole = 3.595
x[1] = -0.611
y[1] (analytic) = 0.72816187912367174171224353228415
y[1] (numeric) = 0.72816187912367138777685618557138
absolute error = 3.5393538734671277e-16
relative error = 4.8606690008637492800917000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.185
Order of pole = 3.596
x[1] = -0.61
y[1] (analytic) = 0.72880985350921944464689162597478
y[1] (numeric) = 0.72880985350921909956082877682965
absolute error = 3.4508606284914513e-16
relative error = 4.7349258683531203287300000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.184
Order of pole = 3.596
x[1] = -0.609
y[1] (analytic) = 0.72945791793744314787352075052466
y[1] (numeric) = 0.72945791793744281170213403378825
absolute error = 3.3617138671673641e-16
relative error = 4.6085096679362632647721000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.184
Order of pole = 3.597
x[1] = -0.608
y[1] (analytic) = 0.73010606980982197093593757301061
y[1] (numeric) = 0.73010606980982164374467987276385
absolute error = 3.2719125770024676e-16
relative error = 4.4814208678675077828864000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.183
Order of pole = 3.597
x[1] = -0.607
y[1] (analytic) = 0.73075430651781688612436415240904
y[1] (numeric) = 0.73075430651781656797878696454599
absolute error = 3.1814557718786305e-16
relative error = 4.3536599695715400290945000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.183
Order of pole = 3.598
x[1] = -0.606
y[1] (analytic) = 0.73140262544286428970565432741677
y[1] (numeric) = 0.73140262544286398067140509218015
absolute error = 3.0903424923523662e-16
relative error = 4.2252275078738797538232000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.182
Order of pole = 3.598
x[1] = -0.605
y[1] (analytic) = 0.73205102395636975897220036236526
y[1] (numeric) = 0.73205102395636945911501976676466
absolute error = 2.9985718059560060e-16
relative error = 4.0961240512310530961500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.182
Order of pole = 3.599
x[1] = -0.604
y[1] (analytic) = 0.732699499419701996459596018804
y[1] (numeric) = 0.73269949941970170584531526883923
absolute error = 2.9061428074996477e-16
relative error = 3.9663502019604391753232000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.181
Order of pole = 3.599
x[1] = -0.603
y[1] (analytic) = 0.73334804918418696268505121336101
y[1] (numeric) = 0.73334804918418668137958927597499
absolute error = 2.8130546193738602e-16
relative error = 3.8359065964697701334618000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.181
Order of pole = 3.6
x[1] = -0.602
y[1] (analytic) = 0.73399667059110219876042642270575
y[1] (numeric) = 0.73399667059110192682978723739375
absolute error = 2.7193063918531200e-16
relative error = 3.7047939054862581004800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.18
Order of pole = 3.601
x[1] = -0.601
y[1] (analytic) = 0.73464536097167134023557138144918
y[1] (numeric) = 0.73464536097167107774584104145319
absolute error = 2.6248973033999599e-16
relative error = 3.5730128342853288158399000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.18
Order of pole = 3.601
x[1] = -0.6
y[1] (analytic) = 0.73529411764705882352941176470588
y[1] (numeric) = 0.73529411764705857054675566772512
absolute error = 2.5298265609698076e-16
relative error = 3.4405641229189383360000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.6MB, time=35.77
Complex estimate of poles used
Radius of convergence = 1.179
Order of pole = 3.602
x[1] = -0.599
y[1] (analytic) = 0.73594293792836478630792882843036
y[1] (numeric) = 0.73594293792836454289858879678115
absolute error = 2.4340934003164921e-16
relative error = 3.3074485464434497819721000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.179
Order of pole = 3.603
x[1] = -0.598
y[1] (analytic) = 0.7365918191166201631698197707137
y[1] (numeric) = 0.73659181911661992940011114087436
absolute error = 2.3376970862983934e-16
relative error = 3.1736669151470440734136000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.178
Order of pole = 3.603
x[1] = -0.597
y[1] (analytic) = 0.73724075850278197800221024779399
y[1] (numeric) = 0.73724075850278175393851892927243
absolute error = 2.2406369131852156e-16
relative error = 3.0392200747766451067804000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.178
Order of pole = 3.604
x[1] = -0.596
y[1] (analytic) = 0.73788975336772883437031440006611
y[1] (numeric) = 0.73788975336772862007909390353034
absolute error = 2.1429122049653577e-16
relative error = 2.9041089067643322007632000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.177
Order of pole = 3.605
x[1] = -0.595
y[1] (analytic) = 0.73853880098225660530640128505751
y[1] (numeric) = 0.7385388009822564008541697196716
absolute error = 2.0445223156538591e-16
relative error = 2.7683343284532165678775000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.177
Order of pole = 3.605
x[1] = -0.594
y[1] (analytic) = 0.73918789860707432386482914410912
y[1] (numeric) = 0.73918789860707412931816618401949
absolute error = 1.9454666296008963e-16
relative error = 2.6318972933227581469068000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.176
Order of pole = 3.606
x[1] = -0.593
y[1] (analytic) = 0.73983704349280027581124981411594
y[1] (numeric) = 0.7398370434928000912367936340354
absolute error = 1.8457445618008054e-16
relative error = 2.4947987912134968181046000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.176
Order of pole = 3.607
x[1] = -0.592
y[1] (analytic) = 0.74048623287995829581536420074878
y[1] (numeric) = 0.74048623287995812127980838058803
absolute error = 1.7453555582016075e-16
relative error = 2.3570398485511756708800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.175
Order of pole = 3.607
x[1] = -0.591
y[1] (analytic) = 0.74113546399897426851782541961237
y[1] (numeric) = 0.7411354639989741040879158181114
absolute error = 1.6442990960150097e-16
relative error = 2.2186215285702283030257000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.175
Order of pole = 3.608
x[1] = -0.59
y[1] (analytic) = 0.74178473407017283584303835027075
y[1] (numeric) = 0.74178473407017268158556994758493
absolute error = 1.5425746840268582e-16
relative error = 2.0795449315366075394200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.174
Order of pole = 3.609
x[1] = -0.589
y[1] (analytic) = 0.74243404030377431193069229746956
y[1] (numeric) = 0.74243404030377416791250600666789
absolute error = 1.4401818629080167e-16
relative error = 1.9398111949699287615807000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.174
Order of pole = 3.61
x[1] = -0.588
y[1] (analytic) = 0.74308337989989180705988657575289
y[1] (numeric) = 0.7430833798998916733478660231884
absolute error = 1.3371202055256449e-16
relative error = 1.7994214938649034703056000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.173
Order of pole = 3.61
x[1] = -0.587
y[1] (analytic) = 0.74373275004852856194066648866663
y[1] (numeric) = 0.74373275004852843860173476318164
absolute error = 1.2333893172548499e-16
relative error = 1.6583770409120362751931000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.173
Order of pole = 3.611
x[1] = -0.586
y[1] (analytic) = 0.74438214792957549374867872168742
y[1] (numeric) = 0.74438214792957538084979509261902
absolute error = 1.1289888362906840e-16
relative error = 1.5166790867175597228640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.172
Order of pole = 3.612
x[1] = -0.585
y[1] (analytic) = 0.74503157071280895527947996796364
y[1] (numeric) = 0.7450315707128088528876365719174
absolute error = 1.0239184339604624e-16
relative error = 1.3743289200225816448400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.172
Order of pole = 3.613
x[1] = -0.584
y[1] (analytic) = 0.74568101555788870859979001622602
y[1] (numeric) = 0.74568101555788861678200851258877
absolute error = 9.181778150363725e-17
relative error = 1.2313278679214175593600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.171
Order of pole = 3.613
x[1] = -0.583
y[1] (analytic) = 0.74633047961435611457366990847749
y[1] (numeric) = 0.74633047961435603339699810364277
absolute error = 8.117667180483472e-17
relative error = 1.0876772960790818814608000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.171
Order of pole = 3.614
x[1] = -0.582
y[1] (analytic) = 0.74697996002163253964222647834804
y[1] (numeric) = 0.7469799600216324691737349186305
absolute error = 7.046849155971754e-17
relative error = 9.4337860894791304018960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.17
Order of pole = 3.615
x[1] = -0.581
y[1] (analytic) = 0.74762945390901798123599596579147
y[1] (numeric) = 0.74762945390901792154277449900963
absolute error = 5.969322146678184e-17
relative error = 7.9843324998330184692240000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.17
Order of pole = 3.616
x[1] = -0.58
y[1] (analytic) = 0.74827895839568991319964082609997
y[1] (numeric) = 0.74827895839568986434879513180932
absolute error = 4.885084569429065e-17
relative error = 6.5284270185850024660000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.17
Order of pole = 3.616
x[1] = -0.579
y[1] (analytic) = 0.7489284705907023526090046665733
y[1] (numeric) = 0.74892847059070231466765275493484
absolute error = 3.794135191163846e-17
relative error = 5.0660848667848048968860000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.169
Order of pole = 3.617
x[1] = -0.578
y[1] (analytic) = 0.74957798759298514936090980777822
y[1] (numeric) = 0.74957798759298512239617848705043
absolute error = 2.696473132072779e-17
relative error = 3.5973216619281812994360000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.169
Order of pole = 3.618
x[1] = -0.577
y[1] (analytic) = 0.75022750649134349991634963302622
y[1] (numeric) = 0.75022750649134348399537094567144
absolute error = 1.592097868735478e-17
relative error = 2.1221534200757119550620000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.168
Order of pole = 3.618
memory used=236.5MB, alloc=4.6MB, time=36.36
x[1] = -0.576
y[1] (analytic) = 0.75087702436445768657792301408045
y[1] (numeric) = 0.75087702436445768176783064147967
absolute error = 4.81009237260078e-18
relative error = 6.4059655796127763852800000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.168
Order of pole = 3.619
x[1] = -0.575
y[1] (analytic) = 0.75152653828088304368248003757633
y[1] (numeric) = 0.75152653828088305005040567334941
absolute error = 6.36792563577308e-18
relative error = 8.4733210491005545750000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.167
Order of pole = 3.62
x[1] = -0.574
y[1] (analytic) = 0.75217604529905015208999635946794
y[1] (numeric) = 0.75217604529905016970306605139949
absolute error = 1.761306969193155e-17
relative error = 2.3416153441750389367800000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.167
Order of pole = 3.62
x[1] = -0.573
y[1] (analytic) = 0.7528255424672652633496671381864
y[1] (numeric) = 0.75282554246726529227499759876052
absolute error = 2.892533046057412e-17
relative error = 3.8422355285363960245480000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.166
Order of pole = 3.621
x[1] = -0.572
y[1] (analytic) = 0.75347502682371095492410999529832
y[1] (numeric) = 0.7534750268237109952288048808487
absolute error = 4.030469488555038e-17
relative error = 5.3491746176984295529920000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.166
Order of pole = 3.622
x[1] = -0.571
y[1] (analytic) = 0.75412449539644701785238917952009
y[1] (numeric) = 0.75412449539644706960353533800508
absolute error = 5.175114615848499e-17
relative error = 6.8624141603143594624590000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.165
Order of pole = 3.622
x[1] = -0.57
y[1] (analytic) = 0.75477394520341157823231942033361
y[1] (numeric) = 0.75477394520341164149698310774911
absolute error = 6.326466368741550e-17
relative error = 8.3819352919456795950000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.165
Order of pole = 3.623
x[1] = -0.569
y[1] (analytic) = 0.75542337325242245390217720570405
y[1] (numeric) = 0.75542337325242252874740027115041
absolute error = 7.484522306544636e-17
relative error = 9.9077187330338338959960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.164
Order of pole = 3.623
x[1] = -0.568
y[1] (analytic) = 0.75607277654117874770153875931482
y[1] (numeric) = 0.75607277654117883419433479873715
absolute error = 8.649279603942233e-17
relative error = 1.1439744786884491979392000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.164
Order of pole = 3.624
x[1] = -0.567
y[1] (analytic) = 0.75672215205726267869047718142187
y[1] (numeric) = 0.75672215205726277689782766004656
absolute error = 9.820735047862469e-17
relative error = 1.2977993337664726296341000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.163
Order of pole = 3.625
x[1] = -0.566
y[1] (analytic) = 0.75737149677814165270578540938959
y[1] (numeric) = 0.75737149677814176269463575288314
absolute error = 1.0998885034349355e-16
relative error = 1.4522443848413376970380000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.163
Order of pole = 3.625
x[1] = -0.565
y[1] (analytic) = 0.75802080767117057363224620515833
y[1] (numeric) = 0.75802080767117069546950185953811
absolute error = 1.2183725565437978e-16
relative error = 1.6073075359064916527050000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.162
Order of pole = 3.626
x[1] = -0.564
y[1] (analytic) = 0.75867008169359439676624464378922
y[1] (numeric) = 0.75867008169359453051876710411912
absolute error = 1.3375252246032990e-16
relative error = 1.7629866484487099987040000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.162
Order of pole = 3.626
x[1] = -0.563
y[1] (analytic) = 0.75931931579255092564821191690921
y[1] (numeric) = 0.75931931579255107138281472481666
absolute error = 1.4573460280790745e-16
relative error = 1.9192795412532706651905000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.161
Order of pole = 3.627
x[1] = -0.562
y[1] (analytic) = 0.75996850690507385373950103507711
y[1] (numeric) = 0.75996850690507401152294574513145
absolute error = 1.5778344471005434e-16
relative error = 2.0761839902105674296296000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.161
Order of pole = 3.627
x[1] = -0.561
y[1] (analytic) = 0.76061765195809605231832457228568
y[1] (numeric) = 0.76061765195809622221731668728141
absolute error = 1.6989899211499573e-16
relative error = 2.2336977281241930114133000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.16
Order of pole = 3.627
x[1] = -0.56
y[1] (analytic) = 0.76126674786845310596833130328867
y[1] (numeric) = 0.76126674786845328804951617848067
absolute error = 1.8208118487519200e-16
relative error = 2.3918184445205221120000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.16
Order of pole = 3.628
x[1] = -0.559
y[1] (analytic) = 0.7619157915428870970322618003613
y[1] (numeric) = 0.76191579154288729136222051670277
absolute error = 1.9432995871634147e-16
relative error = 2.5505437854598256888707000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.159
Order of pole = 3.628
x[1] = -0.558
y[1] (analytic) = 0.76256477987805064040190214158693
y[1] (numeric) = 0.76256477987805084704714734802444
absolute error = 2.0664524520643751e-16
relative error = 2.7098713533489471886364000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.159
Order of pole = 3.629
x[1] = -0.557
y[1] (analytic) = 0.76321370976051117001424919996123
y[1] (numeric) = 0.76321370976051138904122092484486
absolute error = 2.1902697172488363e-16
relative error = 2.8697987067555705132387000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.159
Order of pole = 3.629
x[1] = -0.556
y[1] (analytic) = 0.76386257806675547842240989477029
y[1] (numeric) = 0.7638625780667557098974713264407
absolute error = 2.3147506143167041e-16
relative error = 3.0303233602241127386576000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.158
Order of pole = 3.629
x[1] = -0.555
y[1] (analytic) = 0.76451138166319451080827965826341
y[1] (numeric) = 0.7645113816631947547977128948813
absolute error = 2.4398943323661789e-16
relative error = 3.1914427840932711556725000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.158
Order of pole = 3.629
x[1] = -0.554
y[1] (analytic) = 0.76516011740616841480248156729277
y[1] (numeric) = 0.76516011740616867137248333598011
absolute error = 2.5657000176868734e-16
relative error = 3.3531544043152578364344000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.157
Order of pole = 3.63
x[1] = -0.553
memory used=240.3MB, alloc=4.6MB, time=36.95
y[1] (analytic) = 0.76580878214195184747539647835173
y[1] (numeric) = 0.76580878214195211669207382371783
absolute error = 2.6921667734536610e-16
relative error = 3.5154556022767516167490000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.157
Order of pole = 3.63
x[1] = -0.552
y[1] (analytic) = 0.76645737270675954086137545374276
y[1] (numeric) = 0.76645737270675982279074139587215
absolute error = 2.8192936594212939e-16
relative error = 3.6783437146215998365056000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.156
Order of pole = 3.63
x[1] = -0.551
y[1] (analytic) = 0.76710588592675212737639814636534
y[1] (numeric) = 0.76710588592675242208436730834836
absolute error = 2.9470796916198302e-16
relative error = 3.8418160330753022685502000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.156
Order of pole = 3.63
x[1] = -0.55
y[1] (analytic) = 0.76775431861804222648752399232246
y[1] (numeric) = 0.76775431861804253403990819741335
absolute error = 3.0755238420509089e-16
relative error = 4.0058698042713088422500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.155
Order of pole = 3.63
x[1] = -0.549
y[1] (analytic) = 0.76840266758670079399047641733793
y[1] (numeric) = 0.76840266758670111445298025582907
absolute error = 3.2046250383849114e-16
relative error = 4.1705022295791620808714000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.155
Order of pole = 3.631
x[1] = -0.548
y[1] (analytic) = 0.76905092962876373524960316972031
y[1] (numeric) = 0.76905092962876406868781953562542
absolute error = 3.3343821636590511e-16
relative error = 4.3357104649345187815344000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.154
Order of pole = 3.631
x[1] = -0.547
y[1] (analytic) = 0.76969910153023878375226772597788
y[1] (numeric) = 0.76969910153023913023167332362089
absolute error = 3.4647940559764301e-16
relative error = 4.5014916206710817737909000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.154
Order of pole = 3.631
x[1] = -0.546
y[1] (analytic) = 0.77034718006711264632744685374805
y[1] (numeric) = 0.77034718006711300591339767435839
absolute error = 3.5958595082061034e-16
relative error = 4.6678427613544741211944000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.153
Order of pole = 3.631
x[1] = -0.545
y[1] (analytic) = 0.77099516200535841637593724099381
y[1] (numeric) = 0.77099516200535878913366400941307
absolute error = 3.7275772676841926e-16
relative error = 4.8347609056180899070150000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.153
Order of pole = 3.631
x[1] = -0.544
y[1] (analytic) = 0.77164304410094325645710899303669
y[1] (numeric) = 0.77164304410094364245171258464553
absolute error = 3.8599460359160884e-16
relative error = 5.0022430260009519367424000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.152
Order of pole = 3.631
x[1] = -0.543
y[1] (analytic) = 0.7722908230998363515745851446771
y[1] (numeric) = 0.77229082309983675087103197265565
absolute error = 3.9929644682797855e-16
relative error = 5.1702860487876119748895000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.152
Order of pole = 3.631
x[1] = -0.542
y[1] (analytic) = 0.77293849573801713450057352036384
y[1] (numeric) = 0.77293849573801754716369089340286
absolute error = 4.1266311737303902e-16
relative error = 5.3388868538501245467128000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.151
Order of pole = 3.631
x[1] = -0.541
y[1] (analytic) = 0.77358605874148378447582969038765
y[1] (numeric) = 0.77358605874148421057030114097196
absolute error = 4.2609447145058431e-16
relative error = 5.5080422744921277643511000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.151
Order of pole = 3.63
x[1] = -0.54
y[1] (analytic) = 0.77423350882626200061938680706101
y[1] (numeric) = 0.77423350882626244020974739045098
absolute error = 4.3959036058338997e-16
relative error = 5.6777490972950648525200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.15
Order of pole = 3.63
x[1] = -0.539
y[1] (analytic) = 0.77488084269841405137924915596104
y[1] (numeric) = 0.77488084269841450452988072000222
absolute error = 4.5315063156404118e-16
relative error = 5.8480040619665798765478000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.15
Order of pole = 3.63
x[1] = -0.538
y[1] (analytic) = 0.77552805705404810135221072027944
y[1] (numeric) = 0.77552805705404856812733714617458
absolute error = 4.6677512642589514e-16
relative error = 6.0188038611911193290216000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.149
Order of pole = 3.63
x[1] = -0.537
y[1] (analytic) = 0.7761751485793278167978273305241
y[1] (numeric) = 0.77617514857932829726150974470638
absolute error = 4.8046368241418228e-16
relative error = 6.1901451404827760990132000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.149
Order of pole = 3.63
x[1] = -0.536
y[1] (analytic) = 0.77682211395048225116834045938153
y[1] (numeric) = 0.77682211395048274538447241663194
absolute error = 4.9421613195725041e-16
relative error = 6.3620244980404062379136000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.148
Order of pole = 3.629
x[1] = -0.535
y[1] (analytic) = 0.77746894983381601197302182744077
y[1] (numeric) = 0.77746894983381652000532446539718
absolute error = 5.0803230263795641e-16
relative error = 6.5344384846050548345225000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.148
Order of pole = 3.629
x[1] = -0.534
y[1] (analytic) = 0.77811565288571971029198011758884
y[1] (numeric) = 0.77811565288572023220399728279855
absolute error = 5.2191201716520971e-16
relative error = 6.7073836033197225006476000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.147
Order of pole = 3.629
x[1] = -0.533
y[1] (analytic) = 0.77876221975268069425094366511979
y[1] (numeric) = 0.77876221975268123010603701079199
absolute error = 5.3585509334567220e-16
relative error = 6.8808563095915086962580000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.147
Order of pole = 3.629
x[1] = -0.532
y[1] (analytic) = 0.77940864707129406776490541096659
y[1] (numeric) = 0.77940864707129461762624946658549
absolute error = 5.4986134405561890e-16
relative error = 7.0548530109561638355360000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.146
Order of pole = 3.628
x[1] = -0.531
y[1] (analytic) = 0.78005493146827399585478809417759
y[1] (numeric) = 0.78005493146827455978536530714155
absolute error = 5.6393057721296396e-16
relative error = 7.2293700669450849112556000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.146
Order of pole = 3.628
x[1] = -0.53
y[1] (analytic) = 0.78070106956046529783745803731751
y[1] (numeric) = 0.78070106956046587590005378677412
absolute error = 5.7806259574945661e-16
relative error = 7.4044037889547897174900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=244.1MB, alloc=4.6MB, time=37.51
Complex estimate of poles used
Radius of convergence = 1.145
Order of pole = 3.627
x[1] = -0.529
y[1] (analytic) = 0.78134705795485532968548436876143
y[1] (numeric) = 0.78134705795485592194268195181296
absolute error = 5.9225719758305153e-16
relative error = 7.5799504401189025320673000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.145
Order of pole = 3.627
x[1] = -0.528
y[1] (analytic) = 0.78199289324858615684900655622842
y[1] (numeric) = 0.78199289324858676336318214668664
absolute error = 6.0651417559045822e-16
relative error = 7.7560062351826852440448000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.144
Order of pole = 3.626
x[1] = -0.527
y[1] (analytic) = 0.78263857202896701882793612730086
y[1] (numeric) = 0.78263857202896763966125370717505
absolute error = 6.2083331757987419e-16
relative error = 7.9325673403801506891451000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.144
Order of pole = 3.626
x[1] = -0.526
y[1] (analytic) = 0.78328409087348708677847785969189
y[1] (numeric) = 0.78328409087348772199288412359824
absolute error = 6.3521440626390635e-16
relative error = 8.1096298733137890329260000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.143
Order of pole = 3.626
x[1] = -0.525
y[1] (analytic) = 0.78392944634982851543361097501225
y[1] (numeric) = 0.7839294463498291650908302076978
absolute error = 6.4965721923268555e-16
relative error = 8.2871899028369450471875000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.143
Order of pole = 3.625
x[1] = -0.524
y[1] (analytic) = 0.784574635015879790612721406962
y[1] (numeric) = 0.78457463501588045477425033414077
absolute error = 6.6416152892717877e-16
relative error = 8.4652434489388780795152000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.142
Order of pole = 3.624
x[1] = -0.523
y[1] (analytic) = 0.78521965341974937359102148439494
y[1] (numeric) = 0.78521965341975005231812409709879
absolute error = 6.7872710261270385e-16
relative error = 8.6437864826325412138665000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.142
Order of pole = 3.624
x[1] = -0.522
y[1] (analytic) = 0.78586449809977964359473282178794
y[1] (numeric) = 0.78586449809978033694843517443939
absolute error = 6.9335370235265145e-16
relative error = 8.8228149258451132770180000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.142
Order of pole = 3.623
x[1] = -0.521
y[1] (analytic) = 0.78650916558456113968324129865247
y[1] (numeric) = 0.78650916558456184772432628107148
absolute error = 7.0804108498241901e-16
relative error = 9.0023246513113180849341000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.141
Order of pole = 3.623
x[1] = -0.52
y[1] (analytic) = 0.78715365239294710327455919395466
y[1] (numeric) = 0.78715365239294782606356127751623
absolute error = 7.2278900208356157e-16
relative error = 9.1823114824695661852800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.141
Order of pole = 3.622
x[1] = -0.519
y[1] (analytic) = 0.78779795503406832256544828460934
y[1] (numeric) = 0.78779795503406906016264824277368
absolute error = 7.3759719995816434e-16
relative error = 9.3627711933609544478674000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.14
Order of pole = 3.622
x[1] = -0.518
y[1] (analytic) = 0.78844207000734828009246848597046
y[1] (numeric) = 0.78844207000734903255788808941219
absolute error = 7.5246541960344173e-16
relative error = 9.5436995085311562876052000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.14
Order of pole = 3.621
x[1] = -0.517
y[1] (analytic) = 0.7890859938025186046750188788824
y[1] (numeric) = 0.78908599380251937206841556545028
absolute error = 7.6739339668656788e-16
relative error = 9.7250921029352392207732000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.139
Order of pole = 3.62
x[1] = -0.516
y[1] (analytic) = 0.78972972289963482897613120885508
y[1] (numeric) = 0.7897297228996356113569927285986
absolute error = 7.8238086151974352e-16
relative error = 9.9069446018454435066112000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.139
Order of pole = 3.62
x[1] = -0.515
y[1] (analytic) = 0.7903732537690924539113596395898
y[1] (numeric) = 0.79037325376909325133889867509393
absolute error = 7.9742753903550413e-16
relative error = 1.0089252580761957128792500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.138
Order of pole = 3.619
x[1] = -0.514
y[1] (analytic) = 0.79101658287164332113058418156678
y[1] (numeric) = 0.79101658287164413366373294384115
absolute error = 8.1253314876227437e-16
relative error = 1.0272011565326722094565200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.138
Order of pole = 3.618
x[1] = -0.513
y[1] (analytic) = 0.7916597066584122947919082878063
y[1] (numeric) = 0.79165970665841312248931308797997
absolute error = 8.2769740480017367e-16
relative error = 1.0455217031240305745602300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.137
Order of pole = 3.618
x[1] = -0.512
y[1] (analytic) = 0.79230262157091425384108310937579
y[1] (numeric) = 0.79230262157091509676109890645396
absolute error = 8.4292001579707817e-16
relative error = 1.0638864404181874297964800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.137
Order of pole = 3.617
x[1] = -0.511
y[1] (analytic) = 0.79294532404107139600403133402742
y[1] (numeric) = 0.79294532404107225420471625897123
absolute error = 8.5820068492494381e-16
relative error = 1.0822949059732300626110100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.136
Order of pole = 3.616
x[1] = -0.51
y[1] (analytic) = 0.79358781049123085469407189905563
y[1] (numeric) = 0.79358781049123172823318175545141
absolute error = 8.7353910985639578e-16
relative error = 1.1007466323300443223780000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.136
Order of pole = 3.615
x[1] = -0.509
y[1] (analytic) = 0.79423007733418263002936268595904
y[1] (numeric) = 0.79423007733418351896434542754838
absolute error = 8.8893498274158934e-16
relative error = 1.1192411470052630477965400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.135
Order of pole = 3.615
x[1] = -0.508
y[1] (analytic) = 0.7948721209731778351498810871307
y[1] (numeric) = 0.79487212097317873953787127247777
absolute error = 9.0438799018534707e-16
relative error = 1.1377779724845384762724800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.135
Order of pole = 3.614
x[1] = -0.507
y[1] (analytic) = 0.79551393780194725901695160650062
y[1] (numeric) = 0.79551393780194817891476483107834
absolute error = 9.1989781322457772e-16
relative error = 1.1563566262161421983482800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.6MB, time=38.11
Complex estimate of poles used
Radius of convergence = 1.134
Order of pole = 3.613
x[1] = -0.506
y[1] (analytic) = 0.79615552420472024687190494539965
y[1] (numeric) = 0.79615552420472118233603225138139
absolute error = 9.3546412730598174e-16
relative error = 1.1749766206048960807826400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.134
Order of pole = 3.613
x[1] = -0.505
y[1] (analytic) = 0.79679687655624389952391386625764
y[1] (numeric) = 0.79679687655624485061051613030624
absolute error = 9.5108660226404860e-16
relative error = 1.1936374630064375942150000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.133
Order of pole = 3.612
x[1] = -0.504
y[1] (analytic) = 0.79743799122180259263039706032459
y[1] (numeric) = 0.79743799122180355939529935967578
absolute error = 9.6676490229935119e-16
relative error = 1.2123386557218231818790400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.133
Order of pole = 3.611
x[1] = -0.503
y[1] (analytic) = 0.79807886455723781712661281762541
y[1] (numeric) = 0.79807886455723879962529877476772
absolute error = 9.8249868595714231e-16
relative error = 1.2310796959924729287107900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.132
Order of pole = 3.61
x[1] = -0.502
y[1] (analytic) = 0.7987194929089683419541790601308
y[1] (numeric) = 0.79871949290896934024178516638935
absolute error = 9.9828760610625855e-16
relative error = 1.2498600759954601296342000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.132
Order of pole = 3.61
x[1] = -0.501
y[1] (analytic) = 0.79935987261401070023125481114723
y[1] (numeric) = 0.79935987261401171436256472948403
absolute error = 1.01413130991833680e-15
relative error = 1.2686792828391492551368000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.131
Order of pole = 3.609
x[1] = -0.5
y[1] (analytic) = 0.8
y[1] (numeric) = 0.80000000000000103002943884734848
absolute error = 1.03002943884734848e-15
relative error = 1.2875367985591856000000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.131
Order of pole = 3.608
x[1] = -0.499
y[1] (analytic) = 0.80063987138521106067969521241376
y[1] (numeric) = 0.80063987138521210666132382187069
absolute error = 1.04598162860945693e-15
relative error = 1.3064321001148403150269300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.13
Order of pole = 3.608
x[1] = -0.498
y[1] (analytic) = 0.80127948307857987634655017131355
y[1] (numeric) = 0.80127948307858093833405933451654
absolute error = 1.06198750916320299e-15
relative error = 1.3253646593857139843319600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.13
Order of pole = 3.607
x[1] = -0.497
y[1] (analytic) = 0.80191883137972540695375895442615
y[1] (numeric) = 0.80191883137972648500046364445039
absolute error = 1.07804670469002424e-15
relative error = 1.3443339431688024374981600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.129
Order of pole = 3.606
x[1] = -0.496
y[1] (analytic) = 0.80255791257897169859777081514202
y[1] (numeric) = 0.80255791257897279275660439025509
absolute error = 1.09415883357511307e-15
relative error = 1.3633394131759280870291200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.129
Order of pole = 3.606
x[1] = -0.495
y[1] (analytic) = 0.80319672295737033392903756952672
y[1] (numeric) = 0.80319672295737144425254595814566
absolute error = 1.11032350838861894e-15
relative error = 1.3823805260315402957735000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.128
Order of pole = 3.605
x[1] = -0.494
y[1] (analytic) = 0.80383525878672321379767145002235
y[1] (numeric) = 0.80383525878672434033800731722241
absolute error = 1.12654033586720006e-15
relative error = 1.4014567332708880938421600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.128
Order of pole = 3.604
x[1] = -0.493
y[1] (analytic) = 0.80447351632960567121650071718814
y[1] (numeric) = 0.80447351632960681402541761311804
absolute error = 1.14280891689592990e-15
relative error = 1.4205674813385687662651000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.128
Order of pole = 3.604
x[1] = -0.492
y[1] (analytic) = 0.80511149183938991871594378389519
y[1] (numeric) = 0.80511149183939107784479027445899
absolute error = 1.15912884649056380e-15
relative error = 1.4397122115874556356832000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.127
Order of pole = 3.603
x[1] = -0.491
y[1] (analytic) = 0.80574918156026883015693576809249
y[1] (numeric) = 0.80574918156027000565664954826355
absolute error = 1.17549971378017106e-15
relative error = 1.4588903602780084793158600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.127
Order of pole = 3.603
x[1] = -0.49
y[1] (analytic) = 0.80638658172728005805983388436416
y[1] (numeric) = 0.80638658172728124998093587450199
absolute error = 1.19192110199013783e-15
relative error = 1.4781013585779699229830000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.126
Order of pole = 3.602
x[1] = -0.489
y[1] (analytic) = 0.80702368856633048749879955226326
y[1] (numeric) = 0.80702368856633169589138797780941
absolute error = 1.20839258842554615e-15
relative error = 1.4973446325624511709341500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.126
Order of pole = 3.601
x[1] = -0.488
y[1] (analytic) = 0.8076604982942210276026051897033
y[1] (numeric) = 0.80766049829422225251634964463791
absolute error = 1.22491374445493461e-15
relative error = 1.5166196032144105577638400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.125
Order of pole = 3.601
x[1] = -0.487
y[1] (analytic) = 0.80829700711867174169414202910031
y[1] (numeric) = 0.80829700711867298317827752354611
absolute error = 1.24148413549444580e-15
relative error = 1.5359256864255280159402000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.125
Order of pole = 3.6
x[1] = -0.486
y[1] (analytic) = 0.80893321123834731709211160689729
y[1] (numeric) = 0.80893321123834857519543259926344
absolute error = 1.25810332099236615e-15
relative error = 1.5552622929974790651654000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.124
Order of pole = 3.6
x[1] = -0.485
y[1] (analytic) = 0.80956910684288287558946750591997
y[1] (numeric) = 0.80956910684288415036032191998341
absolute error = 1.27477085441406344e-15
relative error = 1.5746288286436115126740000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.124
Order of pole = 3.599
x[1] = -0.484
y[1] (analytic) = 0.81020469011291012561413515510559
y[1] (numeric) = 0.81020469011291141710041838243292
absolute error = 1.29148628322732733e-15
relative error = 1.5940246939910281210164800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.6MB, time=38.70
Complex estimate of poles used
Radius of convergence = 1.123
Order of pole = 3.599
x[1] = -0.483
y[1] (analytic) = 0.8108399572200838570683757010725
y[1] (numeric) = 0.81083995722008516531752458919096
absolute error = 1.30824914888811846e-15
relative error = 1.6134492845830787274149400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.123
Order of pole = 3.598
x[1] = -0.482
y[1] (analytic) = 0.81147490432710877983387485758615
y[1] (numeric) = 0.81147490432711010489286168431745
absolute error = 1.32505898682673130e-15
relative error = 1.6329019908822648225412000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.122
Order of pole = 3.598
x[1] = -0.481
y[1] (analytic) = 0.81210952758776670692022891743364
y[1] (numeric) = 0.81210952758776804883555535180999
absolute error = 1.34191532643437635e-15
relative error = 1.6523821982735600967123500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.122
Order of pole = 3.598
x[1] = -0.48
y[1] (analytic) = 0.81274382314694408322496749024707
y[1] (numeric) = 0.81274382314694544204265854043413
absolute error = 1.35881769105018706e-15
relative error = 1.6718892870681501586240000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.122
Order of pole = 3.597
x[1] = -0.479
y[1] (analytic) = 0.81337778714065986086359573171872
y[1] (numeric) = 0.81337778714066123662919368037543
absolute error = 1.37576559794865671e-15
relative error = 1.6914226325075944541991100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.121
Order of pole = 3.597
x[1] = -0.478
y[1] (analytic) = 0.81401141569609372201835758544678
y[1] (numeric) = 0.81401141569609511477691591295769
absolute error = 1.39275855832751091e-15
relative error = 1.7109816047684139127604400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.121
Order of pole = 3.597
x[1] = -0.477
y[1] (analytic) = 0.81464470493161465024451560818522
y[1] (numeric) = 0.81464470493161606004059290420618
absolute error = 1.40979607729602096e-15
relative error = 1.7305655689671073130078400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.12
Order of pole = 3.596
x[1] = -0.476
y[1] (analytic) = 0.81527765095680985116291204132479
y[1] (numeric) = 0.81527765095681127804056590508825
absolute error = 1.42687765386376346e-15
relative error = 1.7501738851655995297129600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.12
Order of pole = 3.596
x[1] = -0.475
y[1] (analytic) = 0.81591024987251402345741968383478
y[1] (numeric) = 0.81591024987251546746020061366651
absolute error = 1.44400278092983173e-15
relative error = 1.7698059083771250140812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.119
Order of pole = 3.596
x[1] = -0.474
y[1] (analytic) = 0.81654249777083898108560958163629
y[1] (numeric) = 0.81654249777084044225655485414058
absolute error = 1.46117094527250429e-15
relative error = 1.7894609885725494638600400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.119
Order of pole = 3.596
x[1] = -0.473
y[1] (analytic) = 0.81717439073520362760055535171594
y[1] (numeric) = 0.81717439073520510598218289109179
absolute error = 1.47838162753937585e-15
relative error = 1.8091384706871328695446500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.118
Order of pole = 3.596
x[1] = -0.472
y[1] (analytic) = 0.81780592484036428347116089186643
y[1] (numeric) = 0.81780592484036577910546312982263
absolute error = 1.49563430223795620e-15
relative error = 1.8288376946277370340608000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.118
Order of pole = 3.595
x[1] = -0.471
y[1] (analytic) = 0.81843709615244536727773908389062
y[1] (numeric) = 0.81843709615244688020617681063309
absolute error = 1.51292843772674247e-15
relative error = 1.8485579952804807462872700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.118
Order of pole = 3.595
x[1] = -0.47
y[1] (analytic) = 0.81906790072897043164878368416742
y[1] (numeric) = 0.81906790072897196191227989093737
absolute error = 1.53026349620676995e-15
relative error = 1.8682987025188454319550000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.117
Order of pole = 3.595
x[1] = -0.469
y[1] (analytic) = 0.81969833461889355479396472510187
y[1] (numeric) = 0.81969833461889510243289843874894
absolute error = 1.54763893371364707e-15
relative error = 1.8880591412122345931642700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.117
Order of pole = 3.595
x[1] = -0.468
y[1] (analytic) = 0.82032839386263108847733924844794
y[1] (numeric) = 0.82032839386263265353153935852765
absolute error = 1.56505420011007971e-15
relative error = 1.9078386312349898084030400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.116
Order of pole = 3.595
x[1] = -0.467
y[1] (analytic) = 0.82095807449209376326360389101289
y[1] (numeric) = 0.82095807449209534577234296990327
absolute error = 1.58250873907889038e-15
relative error = 1.9276364874758665040838200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.116
Order of pole = 3.595
x[1] = -0.466
y[1] (analytic) = 0.82158737253071915185892358908801
y[1] (numeric) = 0.82158737253072075186091170562545
absolute error = 1.60000198811653744e-15
relative error = 1.9474520198479722443206400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 3.595
x[1] = -0.465
y[1] (analytic) = 0.82221628399350449135645131451828
y[1] (numeric) = 0.82221628399350610888982984165818
absolute error = 1.61753337852713990e-15
relative error = 1.9672845332991707248775000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 3.595
x[1] = -0.464
y[1] (analytic) = 0.82284480488703986518510716730739
y[1] (numeric) = 0.82284480488704150028744258432023
absolute error = 1.63510233541701284e-15
relative error = 1.9871333278229540364006400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 3.595
x[1] = -0.463
y[1] (analytic) = 0.82347293120954174554851120211402
y[1] (numeric) = 0.82347293120954339825678889183321
absolute error = 1.65270827768971919e-15
relative error = 2.0069976984697866030411100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.114
Order of pole = 3.596
x[1] = -0.462
y[1] (analytic) = 0.82410065895088689712916294447869
y[1] (numeric) = 0.82410065895088856747978098612137
absolute error = 1.67035061804164268e-15
relative error = 2.0268769353589230601899200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.114
Order of pole = 3.596
x[1] = -0.461
y[1] (analytic) = 0.82472798409264664282103155326794
y[1] (numeric) = 0.82472798409264833084979451135559
absolute error = 1.68802876295808765e-15
relative error = 2.0467703236907033954656500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.6MB, time=39.29
Complex estimate of poles used
Radius of convergence = 1.113
Order of pole = 3.596
x[1] = -0.46
y[1] (analytic) = 0.82535490260812149224166391548366
y[1] (numeric) = 0.82535490260812319798377662539441
absolute error = 1.70574211270991075e-15
relative error = 2.0666771437593278647000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.113
Order of pole = 3.596
x[1] = -0.459
y[1] (analytic) = 0.82598141046237613376273353591904
y[1] (numeric) = 0.82598141046237785725279488660899
absolute error = 1.72349006135068995e-15
relative error = 2.0865966709661146593559500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 3.596
x[1] = -0.458
y[1] (analytic) = 0.82660750361227479078564083573325
y[1] (numeric) = 0.82660750361227653205763755016919
absolute error = 1.74127199671443594e-15
relative error = 2.1065281758332428805181600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 3.597
x[1] = -0.457
y[1] (analytic) = 0.82723317800651694297633534047677
y[1] (numeric) = 0.82723317800651870206363575432803
absolute error = 1.75908730041385126e-15
relative error = 2.1264709240179836817997400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 3.597
x[1] = -0.456
y[1] (analytic) = 0.8278584295856734131609621701812
y[1] (numeric) = 0.82785842958567519009631000932354
absolute error = 1.77693534783914234e-15
relative error = 2.1464241763274222416102400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.111
Order of pole = 3.597
x[1] = -0.455
y[1] (analytic) = 0.82848325428222282057123920382759
y[1] (numeric) = 0.82848325428222461538674736121716
absolute error = 1.79481550815738957e-15
relative error = 2.1663871887336731457292500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.111
Order of pole = 3.598
x[1] = -0.454
y[1] (analytic) = 0.8291076480205884011156472511765
y[1] (numeric) = 0.82910764802059021384279156365717
absolute error = 1.81272714431248067e-15
relative error = 2.1863592123895919357777200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.11
Order of pole = 3.598
x[1] = -0.453
y[1] (analytic) = 0.82973160671717519533956351139097
y[1] (numeric) = 0.82973160671717702600917653700335
absolute error = 1.83066961302561238e-15
relative error = 2.2063394936449852708874200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.11
Order of pole = 3.599
x[1] = -0.452
y[1] (analytic) = 0.83035512628040760472438852648501
y[1] (numeric) = 0.8303551262804094533666533228507
absolute error = 1.84864226479636569e-15
relative error = 2.2263272740633223859297600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.11
Order of pole = 3.599
x[1] = -0.451
y[1] (analytic) = 0.83097820261076731696250875643281
y[1] (numeric) = 0.83097820261076918360695266079244
absolute error = 1.86664444390435963e-15
relative error = 2.2463217904389502831016300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.109
Order of pole = 3.599
x[1] = -0.45
y[1] (analytic) = 0.83160083160083160083160083160083
y[1] (numeric) = 0.83160083160083348550708924308952
absolute error = 1.88467548841148869e-15
relative error = 2.2663222748148151497250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.109
Order of pole = 3.6
x[1] = -0.449
y[1] (analytic) = 0.83222300913531197127831950872211
y[1] (numeric) = 0.83222300913531387401304967347111
absolute error = 1.90273473016474900e-15
relative error = 2.2863279545006925631490000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.108
Order of pole = 3.601
x[1] = -0.448
y[1] (analytic) = 0.83284473109109322530781941261127
y[1] (numeric) = 0.83284473109109514612931421226943
absolute error = 1.92082149479965816e-15
relative error = 2.3063380520919287513446400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.108
Order of pole = 3.601
x[1] = -0.447
y[1] (analytic) = 0.83346599333727284926184084300084
y[1] (numeric) = 0.83346599333727478819694258727467
absolute error = 1.93893510174427383e-15
relative error = 2.3263517854886954396984700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.108
Order of pole = 3.602
x[1] = -0.446
y[1] (analytic) = 0.83408679173520079805424233224012
y[1] (numeric) = 0.83408679173520275512910655605598
absolute error = 1.95707486422381586e-15
relative error = 2.3463683679157604156077600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.107
Order of pole = 3.602
x[1] = -0.445
y[1] (analytic) = 0.83470712213851964691888733540619
y[1] (numeric) = 0.8347071221385216221589766013033
absolute error = 1.97524008926589711e-15
relative error = 2.3663870079427763852077500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.107
Order of pole = 3.603
x[1] = -0.444
y[1] (analytic) = 0.8353269803932051162106895123027
y[1] (numeric) = 0.8353269803932071096407672186704
absolute error = 1.99343007770636770e-15
relative error = 2.3864069095050902029072000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.106
Order of pole = 3.603
x[1] = -0.443
y[1] (analytic) = 0.83594636233760696978639062603187
y[1] (numeric) = 0.83594636233760898143051482180944
absolute error = 2.01164412419577757e-15
relative error = 2.4064272719250747223349300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.106
Order of pole = 3.604
x[1] = -0.442
y[1] (analytic) = 0.83656526380249028747728725308776
y[1] (numeric) = 0.83656526380249231735880445954997
absolute error = 2.02988151720646221e-15
relative error = 2.4264472899339854931944400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.106
Order of pole = 3.605
x[1] = -0.441
y[1] (analytic) = 0.83718368061107711215163740570172
y[1] (numeric) = 0.83718368061107916029317644595812
absolute error = 2.04814153904025640e-15
relative error = 2.4464661536943445049284000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.105
Order of pole = 3.605
x[1] = -0.44
y[1] (analytic) = 0.83780160857908847184986595174263
y[1] (numeric) = 0.83780160857909053827333178858324
absolute error = 2.06642346583684061e-15
relative error = 2.4664830488228529520960000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.105
Order of pole = 3.606
x[1] = -0.439
y[1] (analytic) = 0.83841904351478677746094853700069
y[1] (numeric) = 0.83841904351478886218751611972554
absolute error = 2.08472656758272485e-15
relative error = 2.4864971564138351658168500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.105
Order of pole = 3.607
x[1] = -0.438
y[1] (analytic) = 0.83903598121901859639348773832817
y[1] (numeric) = 0.83903598121902069944359585920279
absolute error = 2.10305010812087462e-15
relative error = 2.5065076530632156905992800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=259.4MB, alloc=4.6MB, time=39.88
Complex estimate of poles used
Radius of convergence = 1.104
Order of pole = 3.608
x[1] = -0.437
y[1] (analytic) = 0.83965241748525780268000258612945
y[1] (numeric) = 0.83965241748525992407334774711313
absolute error = 2.12139334516098368e-15
relative error = 2.5265137108930315723859200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.104
Order of pole = 3.608
x[1] = -0.436
y[1] (analytic) = 0.8402683480996491039378335865342
y[1] (numeric) = 0.84026834809965124369336387693236
absolute error = 2.13975553029039816e-15
relative error = 2.5465144975764816886233600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.103
Order of pole = 3.609
x[1] = -0.435
y[1] (analytic) = 0.84088376884105194559482015598394
y[1] (numeric) = 0.84088376884105410373072914168052
absolute error = 2.15813590898569658e-15
relative error = 2.5665091763635150153505000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.103
Order of pole = 3.61
x[1] = -0.434
y[1] (analytic) = 0.84149867548108479277253617602806
y[1] (numeric) = 0.84149867548108696930625680095839
absolute error = 2.17653372062493033e-15
relative error = 2.5864969061069597072374800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.103
Order of pole = 3.61
x[1] = -0.433
y[1] (analytic) = 0.84211306378416979020437241944978
y[1] (numeric) = 0.8421130637841719851525709199789
absolute error = 2.19494819850052912e-15
relative error = 2.6064768412891948241796800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.102
Order of pole = 3.611
x[1] = -0.432
y[1] (analytic) = 0.84272692950757780055013213958255
y[1] (numeric) = 0.84272692950758001392870197245831
absolute error = 2.21337856983287576e-15
relative error = 2.6264481320493663658342400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.102
Order of pole = 3.612
x[1] = -0.431
y[1] (analytic) = 0.84334026840147382145305841565037
y[1] (numeric) = 0.84334026840147605327711420020507
absolute error = 2.23182405578455470e-15
relative error = 2.6464099242111493656267000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.102
Order of pole = 3.613
x[1] = -0.43
y[1] (analytic) = 0.84395307620896278166933918474133
y[1] (numeric) = 0.84395307620896503195321066001995
absolute error = 2.25028387147527862e-15
relative error = 2.6663613593110576368380000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.101
Order of pole = 3.614
x[1] = -0.429
y[1] (analytic) = 0.84456534866613571658413855601284
y[1] (numeric) = 0.84456534866613798534136455351032
absolute error = 2.26875722599749748e-15
relative error = 2.6863015746273029137166800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.101
Order of pole = 3.614
x[1] = -0.428
y[1] (analytic) = 0.84517708150211632341208129927382
y[1] (numeric) = 0.84517708150211861065540373196793
absolute error = 2.28724332243269411e-15
relative error = 2.7062297032092047478462400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.1
Order of pole = 3.615
x[1] = -0.427
y[1] (analytic) = 0.84578827043910789636387164655523
y[1] (numeric) = 0.84578827043911020210522951492591
absolute error = 2.30574135786837068e-15
relative error = 2.7261448739071528377137200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.1
Order of pole = 3.616
x[1] = -0.426
y[1] (analytic) = 0.84639891119244064204435807413777
y[1] (numeric) = 0.84639891119244296629488148986785
absolute error = 2.32425052341573008e-15
relative error = 2.7460462114031231119980800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.1
Order of pole = 3.617
x[1] = -0.425
y[1] (analytic) = 0.84700899947061937533086289041821
y[1] (numeric) = 0.84700899947062171810086711847456
absolute error = 2.34277000422805635e-15
relative error = 2.7659328362417490282187500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.099
Order of pole = 3.617
x[1] = -0.424
y[1] (analytic) = 0.84761853097537159596397960290767
y[1] (numeric) = 0.84761853097537395726295912270589
absolute error = 2.36129897951979822e-15
relative error = 2.7858038648619494647987200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.099
Order of pole = 3.618
x[1] = -0.423
y[1] (analytic) = 0.84822750140169594606630255087456
y[1] (numeric) = 0.84822750140169832590292513723422
absolute error = 2.37983662258635966e-15
relative error = 2.8056584096291144076041400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.099
Order of pole = 3.619
x[1] = -0.422
y[1] (analytic) = 0.84883590643791104878769255842538
y[1] (numeric) = 0.84883590643791344716979338302679
absolute error = 2.39838210082460141e-15
relative error = 2.8254955788678497274984400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.098
Order of pole = 3.62
x[1] = -0.421
y[1] (analytic) = 0.84944374176570472825869979044223
y[1] (numeric) = 0.84944374176570714519327554449965
absolute error = 2.41693457575405742e-15
relative error = 2.8453144768952823111782200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.098
Order of pole = 3.62
x[1] = -0.42
y[1] (analytic) = 0.85005100306018361101666099965998
y[1] (numeric) = 0.85005100306018604650986403852978
absolute error = 2.43549320303886980e-15
relative error = 2.8651142040549264327200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.097
Order of pole = 3.621
x[1] = -0.419
y[1] (analytic) = 0.85065768598992310905176337085017
y[1] (numeric) = 0.85065768598992556310889588129648
absolute error = 2.45405713251044631e-15
relative error = 2.8848938567511127746299100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.097
Order of pole = 3.622
x[1] = -0.418
y[1] (analytic) = 0.85126378621701778460302164593556
y[1] (numeric) = 0.85126378621702025722852983677938
absolute error = 2.47262550819084382e-15
relative error = 2.9046525274839808156056800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.097
Order of pole = 3.622
x[1] = -0.417
y[1] (analytic) = 0.85186929939713209681664961508286
y[1] (numeric) = 0.85186929939713458801411793196443
absolute error = 2.49119746831688157e-15
relative error = 2.9243893048850357893257300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.096
Order of pole = 3.623
x[1] = -0.416
y[1] (analytic) = 0.85247422117955153036172186153091
y[1] (numeric) = 0.85247422117955404013386722651848
absolute error = 2.50977214536498757e-15
relative error = 2.9441032737532708589139200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.096
Order of pole = 3.624
x[1] = -0.415
y[1] (analytic) = 0.85307854720723410608031734521956
y[1] (numeric) = 0.85307854720723663442898342200141
absolute error = 2.52834866607678185e-15
relative error = 2.9637935150918556041162500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.6MB, time=40.48
Complex estimate of poles used
Radius of convergence = 1.096
Order of pole = 3.624
x[1] = -0.414
y[1] (analytic) = 0.85368227311686227373151351037565
y[1] (numeric) = 0.85368227311686482065766499577551
absolute error = 2.54692615148539986e-15
relative error = 2.9834591061453914544045600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 3.625
x[1] = -0.413
y[1] (analytic) = 0.85428539453889518687065862841063
y[1] (numeric) = 0.85428539453889775237437557097004
absolute error = 2.56550371694255941e-15
relative error = 3.0030991204377348260042900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 3.626
x[1] = -0.412
y[1] (analytic) = 0.85488790709762135988729157832825
y[1] (numeric) = 0.85488790709762394396776372470276
absolute error = 2.58408047214637451e-15
relative error = 3.0227126278103887048254400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 3.626
x[1] = -0.411
y[1] (analytic) = 0.85548980641121170720690277614997
y[1] (numeric) = 0.85548980641121430986242394606913
absolute error = 2.60265552116991916e-15
relative error = 3.0422986944614630744263600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.094
Order of pole = 3.627
x[1] = -0.41
y[1] (analytic) = 0.85609108809177296464343806180978
y[1] (numeric) = 0.85609108809177558587140055235424
absolute error = 2.62122796249054446e-15
relative error = 3.0618563829852049837260000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.094
Order of pole = 3.627
x[1] = -0.409
y[1] (analytic) = 0.85669174774540149287103962113664
y[1] (numeric) = 0.85669174774540413266792864108866
absolute error = 2.63979688901995202e-15
relative error = 3.0813847524120986138576200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.093
Order of pole = 3.628
x[1] = -0.408
y[1] (analytic) = 0.85729178097223746296499506199934
y[1] (numeric) = 0.85729178097224012132638319702593
absolute error = 2.65836138813502659e-15
relative error = 3.1008828582495356562777600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.093
Order of pole = 3.628
x[1] = -0.407
y[1] (analytic) = 0.85789118336651942394322819304954
y[1] (numeric) = 0.85789118336652210086376990248059
absolute error = 2.67692054170943105e-15
relative error = 3.1203497525230565940014500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.093
Order of pole = 3.629
x[1] = -0.406
y[1] (analytic) = 0.85848995051663925222091350198655
y[1] (numeric) = 0.85848995051664194769433964795299
absolute error = 2.69547342614596644e-15
relative error = 3.1397844838181629641038400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 3.629
x[1] = -0.405
y[1] (analytic) = 0.85908807800519748287193144477138
y[1] (numeric) = 0.85908807800520019689104385447129
absolute error = 2.71401911240969991e-15
relative error = 3.1591860973227009377377500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 3.629
x[1] = -0.404
y[1] (analytic) = 0.85968556140905902257190410035625
y[1] (numeric) = 0.85968556140906175512857016221949
absolute error = 2.73255666606186324e-15
relative error = 3.1785536348698163105798400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 3.63
x[1] = -0.403
y[1] (analytic) = 0.86028239629940924407846119567209
y[1] (numeric) = 0.86028239629941199516360849019667
absolute error = 2.75108514729452458e-15
relative error = 3.1978861349814810225132200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.091
Order of pole = 3.63
x[1] = -0.402
y[1] (analytic) = 0.86087857824181046208518565707418
y[1] (numeric) = 0.86087857824181323168879662311024
absolute error = 2.76960361096603606e-15
relative error = 3.2171826329125913514402400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.091
Order of pole = 3.63
x[1] = -0.401
y[1] (analytic) = 0.86147410279625879026637640732563
y[1] (numeric) = 0.8614741027962615783774830445851
absolute error = 2.78811110663725947e-15
relative error = 3.2364421606956374300354700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.091
Order of pole = 3.631
x[1] = -0.4
y[1] (analytic) = 0.86206896551724137931034482758621
y[1] (numeric) = 0.8620689655172441859170234361589
absolute error = 2.80660667860857269e-15
relative error = 3.2556637471859443204000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.09
Order of pole = 3.631
x[1] = -0.399
y[1] (analytic) = 0.8626631619537940357194308838588
y[1] (numeric) = 0.8626631619537968608087968415178
absolute error = 2.82508936595765900e-15
relative error = 3.2748464181074842704590000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.09
Order of pole = 3.631
x[1] = -0.398
y[1] (analytic) = 0.86325668764955922113528613506169
y[1] (numeric) = 0.8632566876495620646934887131432
absolute error = 2.84355820257808151e-15
relative error = 3.2939891960992599335100400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.089
Order of pole = 3.631
x[1] = -0.397
y[1] (analytic) = 0.86384953814284443192822446957479
y[1] (numeric) = 0.86384953814284729394044168821965
absolute error = 2.86201221721864486e-15
relative error = 3.3130911007622582577397400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.089
Order of pole = 3.632
x[1] = -0.396
y[1] (analytic) = 0.86444170896668095876958824912518
y[1] (numeric) = 0.86444170896668383922002177267144
absolute error = 2.88045043352354626e-15
relative error = 3.3321511487069746903081600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.089
Order of pole = 3.632
x[1] = -0.395
y[1] (analytic) = 0.86503319564888302588611837979282
y[1] (numeric) = 0.86503319564888592475798845311052
absolute error = 2.89887187007331770e-15
relative error = 3.3511683536015070941425000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.088
Order of pole = 3.632
x[1] = -0.394
y[1] (analytic) = 0.86562399371210730967525250251897
y[1] (numeric) = 0.86562399371211022695079292908037
absolute error = 2.91727554042656140e-15
relative error = 3.3701417262202190854904000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.088
Order of pole = 3.632
x[1] = -0.393
y[1] (analytic) = 0.86621409867391283634010683884693
y[1] (numeric) = 0.86621409867391577200056000132702
absolute error = 2.93566045316248009e-15
relative error = 3.3890702744929719774204100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.088
Order of pole = 3.632
x[1] = -0.392
y[1] (analytic) = 0.86680350604682125818262509708199
y[1] (numeric) = 0.86680350604682421220823702128581
absolute error = 2.95402561192420382e-15
relative error = 3.4079530035549246757964800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.087
Order of pole = 3.632
memory used=267.0MB, alloc=4.6MB, time=41.07
x[1] = -0.391
y[1] (analytic) = 0.86739221133837750817300311133586
y[1] (numeric) = 0.8673922113383804805430185742509
absolute error = 2.97237001546291504e-15
relative error = 3.4267889157969009542302400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.087
Order of pole = 3.632
x[1] = -0.39
y[1] (analytic) = 0.86798021005121083239302143911119
y[1] (numeric) = 0.86798021005121382308567912188446
absolute error = 2.99069265768277327e-15
relative error = 3.4455770109163230843670000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.086
Order of pole = 3.632
x[1] = -0.389
y[1] (analytic) = 0.86856749768309619993034088668582
y[1] (numeric) = 0.86856749768309920892286857332669
absolute error = 3.00899252768664087e-15
relative error = 3.4643162859687110530892700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.086
Order of pole = 3.632
x[1] = -0.388
y[1] (analytic) = 0.86915406972701608978013878652185
y[1] (numeric) = 0.86915406972701911704874860913297
absolute error = 3.02726860982261112e-15
relative error = 3.4830057354197462884492800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.086
Order of pole = 3.631
x[1] = -0.387
y[1] (analytic) = 0.86973992167122265428968775467072
y[1] (numeric) = 0.86973992167122569980957148601061
absolute error = 3.04551988373133989e-15
relative error = 3.5016443511978989339854100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.085
Order of pole = 3.631
x[1] = -0.386
y[1] (analytic) = 0.87032504899930025866060456259204
y[1] (numeric) = 0.87032504899930332240592895677409
absolute error = 3.06374532439418205e-15
relative error = 3.5202311227476175987218000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.085
Order of pole = 3.631
x[1] = -0.385
y[1] (analytic) = 0.87090944719022839600252563739685
y[1] (numeric) = 0.8709094471902314779464278195303
absolute error = 3.08194390218213345e-15
relative error = 3.5387650370830801806262500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.085
Order of pole = 3.631
x[1] = -0.384
y[1] (analytic) = 0.87149311171844497741089854425791
y[1] (numeric) = 0.87149311171844807752548144983745
absolute error = 3.10011458290557954e-15
relative error = 3.5572450788425046766502400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.084
Order of pole = 3.63
x[1] = -0.383
y[1] (analytic) = 0.8720760380539099965204166081649
y[1] (numeric) = 0.87207603805391311477674447301635
absolute error = 3.11825632786485145e-15
relative error = 3.5756702303430186443490500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.084
Order of pole = 3.63
x[1] = -0.382
y[1] (analytic) = 0.87265822166216956796436761949309
y[1] (numeric) = 0.87265822166217270433246152108311
absolute error = 3.13636809390159002e-15
relative error = 3.5940394716360856420784800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.083
Order of pole = 3.63
x[1] = -0.381
y[1] (analytic) = 0.87323965800442033914881837575677
y[1] (numeric) = 0.87323965800442349359765182667542
absolute error = 3.15444883345091865e-15
relative error = 3.6123517805634874521526500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.083
Order of pole = 3.629
x[1] = -0.38
y[1] (analytic) = 0.87382034253757427472911569381335
y[1] (numeric) = 0.87382034253757744722661028823861
absolute error = 3.17249749459442526e-15
relative error = 3.6306061328138602675440000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.083
Order of pole = 3.629
x[1] = -0.379
y[1] (analytic) = 0.87440027071432381315465255268043
y[1] (numeric) = 0.87440027071432700366767366663428
absolute error = 3.19051302111395385e-15
relative error = 3.6488015019797832949678500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 3.629
x[1] = -0.378
y[1] (analytic) = 0.87497943798320739462622628368233
y[1] (numeric) = 0.87497943798321060312057882988823
absolute error = 3.20849435254620590e-15
relative error = 3.6669368596154179838156000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 3.628
x[1] = -0.377
y[1] (analytic) = 0.87555783978867535978860531516142
y[1] (numeric) = 0.8755578397886785862290295533132
absolute error = 3.22644042423815178e-15
relative error = 3.6850111752946960543396200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 3.628
x[1] = -0.376
y[1] (analytic) = 0.87613547157115621845912302343838
y[1] (numeric) = 0.87613547157115946280929042669063
absolute error = 3.24435016740325225e-15
relative error = 3.7030234166700544400960000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.081
Order of pole = 3.627
x[1] = -0.375
y[1] (analytic) = 0.87671232876712328767123287671233
y[1] (numeric) = 0.87671232876712654989374205520234
absolute error = 3.26222250917849001e-15
relative error = 3.7209725495317151676562500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.081
Order of pole = 3.627
x[1] = -0.374
y[1] (analytic) = 0.87728840680916169828998943744758
y[1] (numeric) = 0.87728840680916497834636211965862
absolute error = 3.28005637268221104e-15
relative error = 3.7388575378675079914310400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.08
Order of pole = 3.626
x[1] = -0.373
y[1] (analytic) = 0.87786370112603576943436608145346
y[1] (numeric) = 0.87786370112603906728504315422908
absolute error = 3.29785067707277562e-15
relative error = 3.7566773439232338192349800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.08
Order of pole = 3.626
x[1] = -0.372
y[1] (analytic) = 0.87843820714275674991918368494287
y[1] (numeric) = 0.87843820714276006552352129296139
absolute error = 3.31560433760801852e-15
relative error = 3.7744309282635665548716800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.08
Order of pole = 3.625
x[1] = -0.371
y[1] (analytic) = 0.87901192028065092590720622762365
y[1] (numeric) = 0.87901192028065425922347193314156
absolute error = 3.33331626570551791e-15
relative error = 3.7921172498334911006503100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.079
Order of pole = 3.624
x[1] = -0.37
y[1] (analytic) = 0.87958483595742809393966048025332
y[1] (numeric) = 0.87958483595743144492502948392562
absolute error = 3.35098536900367230e-15
relative error = 3.8097352660202750378700000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.079
Order of pole = 3.624
x[1] = -0.369
y[1] (analytic) = 0.88015694958725039849105892562762
y[1] (numeric) = 0.88015694958725376710161034921257
absolute error = 3.36861055142358495e-15
relative error = 3.8272839327159717003769500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.079
Order of pole = 3.623
x[1] = -0.368
y[1] (analytic) = 0.88072825658080153317174905585931
y[1] (numeric) = 0.88072825658080491936246228761399
absolute error = 3.38619071323175468e-15
relative error = 3.8447622043804518257843200000000e-13 %
memory used=270.8MB, alloc=4.6MB, time=41.66
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 3.622
x[1] = -0.367
y[1] (analytic) = 0.8812987523453563046790794658272
y[1] (numeric) = 0.88129875234535970840383056939947
absolute error = 3.40372475110357227e-15
relative error = 3.8621690341049613154740300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 3.622
x[1] = -0.366
y[1] (analytic) = 0.88186843228485055857546500922434
y[1] (numeric) = 0.88186843228485397978702319684562
absolute error = 3.42121155818762128e-15
relative error = 3.8795033736762022761836800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 3.621
x[1] = -0.365
y[1] (analytic) = 0.88243729179995146594895100266937
y[1] (numeric) = 0.88243729179995490459897517345148
absolute error = 3.43865002417078211e-15
relative error = 3.8967641736409345566047500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.077
Order of pole = 3.62
x[1] = -0.364
y[1] (analytic) = 0.88300532628812816998912137438013
y[1] (numeric) = 0.88300532628813162602815671851817
absolute error = 3.45603903534413804e-15
relative error = 3.9139503833710949537478400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.077
Order of pole = 3.62
x[1] = -0.363
y[1] (analytic) = 0.88357253114372279148836909298629
y[1] (numeric) = 0.88357253114372626486584376266791
absolute error = 3.47337747466968162e-15
relative error = 3.9310609511294308973857800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 3.619
x[1] = -0.362
y[1] (analytic) = 0.88413890175802179225565053172114
y[1] (numeric) = 0.88413890175802528291987237954114
absolute error = 3.49066422184782000e-15
relative error = 3.9480948241356457240800000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 3.618
x[1] = -0.361
y[1] (analytic) = 0.88470443351932769540687999249771
y[1] (numeric) = 0.8847044335193312033050333781752
absolute error = 3.50789815338567749e-15
relative error = 3.9650509486330523661742900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 3.617
x[1] = -0.36
y[1] (analytic) = 0.88526912181303116147308781869688
y[1] (numeric) = 0.88526912181303468655123048489028
absolute error = 3.52507814266619340e-15
relative error = 3.9819282699557320646400000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.075
Order of pole = 3.617
x[1] = -0.359
y[1] (analytic) = 0.88583296202168341924436676673626
y[1] (numeric) = 0.88583296202168696144742678474959
absolute error = 3.54220306001801333e-15
relative error = 3.9987257325961949059837300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.075
Order of pole = 3.616
x[1] = -0.358
y[1] (analytic) = 0.88639594952506905024446800287901
y[1] (numeric) = 0.88639594952507260951624078905087
absolute error = 3.55927177278617186e-15
relative error = 4.0154422802735387902650400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.075
Order of pole = 3.615
x[1] = -0.357
y[1] (analytic) = 0.88695807970027912570768167784086
y[1] (numeric) = 0.88695807970028270199082708140517
absolute error = 3.57628314540356431e-15
relative error = 4.0320768560021031777451900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.074
Order of pole = 3.614
x[1] = -0.356
y[1] (analytic) = 0.88751934792178469490634895840729
y[1] (numeric) = 0.88751934792178828814238842161264
absolute error = 3.59323603946320535e-15
relative error = 4.0486284021606141432376000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.074
Order of pole = 3.614
x[1] = -0.355
y[1] (analytic) = 0.88807974956151062365400412957084
y[1] (numeric) = 0.88807974956151423378331792084278
absolute error = 3.61012931379127194e-15
relative error = 4.0650958605618169862385000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.073
Order of pole = 3.613
x[1] = -0.354
y[1] (analytic) = 0.88863927998890978178573840592331
y[1] (numeric) = 0.88863927998891340874756292685144
absolute error = 3.62696182452092813e-15
relative error = 4.0814781725225927595390800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.073
Order of pole = 3.612
x[1] = -0.353
y[1] (analytic) = 0.8891979345710375783939129066191
y[1] (numeric) = 0.88919793457104122212633807354785
absolute error = 3.64373242516692875e-15
relative error = 4.0977742789345545746087500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.073
Order of pole = 3.611
x[1] = -0.352
y[1] (analytic) = 0.88975570867262684357382836968282
y[1] (numeric) = 0.88975570867263050401379507068232
absolute error = 3.66043996670099950e-15
relative error = 4.1139831203351201420480000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 3.611
x[1] = -0.351
y[1] (analytic) = 0.89031259765616305541038514032662
y[1] (numeric) = 0.89031259765616673249368276831677
absolute error = 3.67708329762799015e-15
relative error = 4.1301036369790561644701500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 3.61
x[1] = -0.35
y[1] (analytic) = 0.89086859688195991091314031180401
y[1] (numeric) = 0.89086859688196360457440437460189
absolute error = 3.69366126406279788e-15
relative error = 4.1461347689104906203000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 3.609
x[1] = -0.349
y[1] (analytic) = 0.89142370170823523958349118961384
y[1] (numeric) = 0.8914237017082389497562009976714
absolute error = 3.71017270980805756e-15
relative error = 4.1620754560353887788655600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.071
Order of pole = 3.609
x[1] = -0.348
y[1] (analytic) = 0.89197790749118725827398706988825
y[1] (numeric) = 0.89197790749119098489046350248366
absolute error = 3.72661647643259541e-15
relative error = 4.1779246381944884445326400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.071
Order of pole = 3.608
x[1] = -0.347
y[1] (analytic) = 0.89253120958507116597599626564942
y[1] (numeric) = 0.89253120958507490896739961629222
absolute error = 3.74299140335064280e-15
relative error = 4.1936812552366903489052000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.071
Order of pole = 3.607
x[1] = -0.346
y[1] (analytic) = 0.89308360334227607714813399111918
y[1] (numeric) = 0.89308360334227983644446189292548
absolute error = 3.75929632790180630e-15
relative error = 4.2093442470928989430108000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 3.606
x[1] = -0.345
y[1] (analytic) = 0.89363508411340229217399075087688
y[1] (numeric) = 0.89363508411340606770407618266718
absolute error = 3.77553008543179030e-15
relative error = 4.2249125538503091404575000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=274.6MB, alloc=4.6MB, time=42.25
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 3.606
x[1] = -0.344
y[1] (analytic) = 0.89418564724733890351379191942314
y[1] (numeric) = 0.89418564724734269520530129329145
absolute error = 3.79169150937386831e-15
relative error = 4.2403851158271343903321600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 3.605
x[1] = -0.343
y[1] (analytic) = 0.89473528809134173609066889515402
y[1] (numeric) = 0.89473528809134554387010022625289
absolute error = 3.80777943133109887e-15
relative error = 4.2557608736477713209566300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.069
Order of pole = 3.605
x[1] = -0.342
y[1] (analytic) = 0.89528400199111162042823224383239
y[1] (numeric) = 0.8952840019911154442209134031142
absolute error = 3.82379268115928181e-15
relative error = 4.2710387683183960476248400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.069
Order of pole = 3.604
x[1] = -0.341
y[1] (analytic) = 0.89583178429087299703210929864434
y[1] (numeric) = 0.89583178429087683676219634929502
absolute error = 3.83973008705065068e-15
relative error = 4.2862177413029873917210800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.068
Order of pole = 3.603
x[1] = -0.34
y[1] (analytic) = 0.89637863033345285048404446038006
y[1] (numeric) = 0.89637863033345670607452007867677
absolute error = 3.85559047561829671e-15
relative error = 4.3012967345997718096760000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.068
Order of pole = 3.603
x[1] = -0.339
y[1] (analytic) = 0.89692453546035997169306166087104
y[1] (numeric) = 0.89692453546036384306573364219086
absolute error = 3.87137267198131982e-15
relative error = 4.3162746908180850750342200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.068
Order of pole = 3.602
x[1] = -0.338
y[1] (analytic) = 0.89746949501186454672405684930769
y[1] (numeric) = 0.89746949501186843379955670000964
absolute error = 3.88707549985070195e-15
relative error = 4.3311505532556455435758000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.067
Order of pole = 3.602
x[1] = -0.337
y[1] (analytic) = 0.89801350432707807060002568318622
y[1] (numeric) = 0.89801350432708197329780729908391
absolute error = 3.90269778161589769e-15
relative error = 4.3459232659762335747556100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.067
Order of pole = 3.601
x[1] = -0.336
y[1] (analytic) = 0.89855655874403358444993961699925
y[1] (numeric) = 0.89855655874403750268827804913662
absolute error = 3.91823833843213737e-15
relative error = 4.3605917738877719505235200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.067
Order of pole = 3.601
x[1] = -0.335
y[1] (analytic) = 0.89909865359976623435006406077907
y[1] (numeric) = 0.8990986535997701680460543692164
absolute error = 3.93369599030843733e-15
relative error = 4.3751550228208017093592500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.066
Order of pole = 3.601
x[1] = -0.334
y[1] (analytic) = 0.89963978423039415018226702028508
y[1] (numeric) = 0.89963978423039809925182321659718
absolute error = 3.94906955619631210e-15
relative error = 4.3896119596073478926276000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.066
Order of pole = 3.6
x[1] = -0.333
y[1] (analytic) = 0.90017994597119964280859743862798
y[1] (numeric) = 0.90017994597120360716645151781101
absolute error = 3.96435785407918303e-15
relative error = 4.4039615321601695570136700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.066
Order of pole = 3.6
x[1] = -0.332
y[1] (analytic) = 0.90071913415671071783712115753217
y[1] (numeric) = 0.90071913415671469739682222001003
absolute error = 3.97955970106247786e-15
relative error = 4.4182026895523884196406400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.065
Order of pole = 3.6
x[1] = -0.331
y[1] (analytic) = 0.90125734412078290422969084169325
y[1] (numeric) = 0.90125734412078689890360430610867
absolute error = 3.99467391346441542e-15
relative error = 4.4323343820974902378306200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.065
Order of pole = 3.599
x[1] = -0.33
y[1] (analytic) = 0.9017945711966813959779962124628
y[1] (numeric) = 0.9017945711966854056773031199325
absolute error = 4.00969930690746970e-15
relative error = 4.4463555614296931503300000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.065
Order of pole = 3.599
x[1] = -0.329
y[1] (analytic) = 0.90233081071716350504989438217861
y[1] (numeric) = 0.90233081071716752968459079268567
absolute error = 4.02463469641050706e-15
relative error = 4.4602651805846767546814600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.064
Order of pole = 3.599
x[1] = -0.328
y[1] (analytic) = 0.90286605801456142378365884664278
y[1] (numeric) = 0.90286605801456546326255532823359
absolute error = 4.03947889648159081e-15
relative error = 4.4740621940806662757030400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.064
Order of pole = 3.599
x[1] = -0.327
y[1] (analytic) = 0.90340030842086529488341167319675
y[1] (numeric) = 0.90340030842086934911413288464319
absolute error = 4.05423072121144644e-15
relative error = 4.4877455579998651963827600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.064
Order of pole = 3.599
x[1] = -0.326
y[1] (analytic) = 0.90393355726780658714461852196016
y[1] (numeric) = 0.90393355726781065603360288954162
absolute error = 4.06888898436758146e-15
relative error = 4.5013142300702305472429600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = -0.325
y[1] (analytic) = 0.90446579988694177501413227812323
y[1] (numeric) = 0.90446579988694585846663176717613
absolute error = 4.08345249948905290e-15
relative error = 4.5147671697475841125625000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = -0.324
y[1] (analytic) = 0.90499703160973632006487018722579
y[1] (numeric) = 0.90499703160974041798495016910193
absolute error = 4.09792007998187614e-15
relative error = 4.5281033382980535696726400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = -0.323
y[1] (analytic) = 0.90552724776764895244080341999531
y[1] (numeric) = 0.90552724776765306473134263506322
absolute error = 4.11229053921506791e-15
relative error = 4.5413216988808367299823900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = -0.322
y[1] (analytic) = 0.90605644369221625030352890863689
y[1] (numeric) = 0.90605644369222037686621952595343
absolute error = 4.12656269061731654e-15
relative error = 4.5544212166312823881333600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.6MB, time=42.82
Complex estimate of poles used
Radius of convergence = 1.062
Order of pole = 3.598
x[1] = -0.321
y[1] (analytic) = 0.90658461471513751528728306563401
y[1] (numeric) = 0.90658461471514165602263083990643
absolute error = 4.14073534777427242e-15
relative error = 4.5674008587442812244292200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.062
Order of pole = 3.598
x[1] = -0.32
y[1] (analytic) = 0.90711175616835994194484760522496
y[1] (numeric) = 0.90711175616836409675217213167623
absolute error = 4.15480732452645127e-15
relative error = 4.5802595945579598800480000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.062
Order of pole = 3.598
x[1] = -0.319
y[1] (analytic) = 0.90763786338416407914239113564557
y[1] (numeric) = 0.90763786338416824791982620338833
absolute error = 4.16877743506774276e-15
relative error = 4.5929963956376713310003600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.061
Order of pole = 3.599
x[1] = -0.318
y[1] (analytic) = 0.90816293169524958133688848848994
y[1] (numeric) = 0.90816293169525376398138253300706
absolute error = 4.18264449404451712e-15
relative error = 4.6056102358602748692428800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.061
Order of pole = 3.599
x[1] = -0.317
y[1] (analytic) = 0.90868695643482124764536492413827
y[1] (numeric) = 0.90868695643482544405268157945998
absolute error = 4.19640731665532171e-15
relative error = 4.6181000914986983333161900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.061
Order of pole = 3.599
x[1] = -0.316
y[1] (analytic) = 0.90920993293667534659082643546064
y[1] (numeric) = 0.90920993293667955665554518662063
absolute error = 4.21006471875115999e-15
relative error = 4.6304649413067758219614400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.599
x[1] = -0.315
y[1] (analytic) = 0.90973185653528622438536241442835
y[1] (numeric) = 0.90973185653529044800087935077299
absolute error = 4.22361551693634464e-15
relative error = 4.6427037666043534369040000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.599
x[1] = -0.314
y[1] (analytic) = 0.91025272256589319458654500835612
y[1] (numeric) = 0.91025272256589743164507367827308
absolute error = 4.23705852866991696e-15
relative error = 4.6548155513626560925881600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.6
x[1] = -0.313
y[1] (analytic) = 0.91077252636458770693890264661388
y[1] (numeric) = 0.91077252636459195733147501423783
absolute error = 4.25039257236762395e-15
relative error = 4.6667992822899077007575500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.6
x[1] = -0.312
y[1] (analytic) = 0.91129126326840079318791554881605
y[1] (numeric) = 0.91129126326840505680438305326098
absolute error = 4.26361646750444493e-15
relative error = 4.6786539489171976172659200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 3.6
x[1] = -0.311
y[1] (analytic) = 0.91180892861539078762967062726072
y[1] (numeric) = 0.91180892861539506435870534491971
absolute error = 4.27672903471765899e-15
relative error = 4.6903785436845856851717900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 3.601
x[1] = -0.31
y[1] (analytic) = 0.91232551774473132013502417662622
y[1] (numeric) = 0.9123255177447356098641200870708
absolute error = 4.28972909591044458e-15
relative error = 4.7019720620274383041380000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 3.601
x[1] = -0.309
y[1] (analytic) = 0.91284102599679957936285522067475
y[1] (numeric) = 0.91284102599680388197832957667712
absolute error = 4.30261547435600237e-15
relative error = 4.7134335024629878322899700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.602
x[1] = -0.308
y[1] (analytic) = 0.91335544871326484385275248798024
y[1] (numeric) = 0.91335544871326915923974729017271
absolute error = 4.31538699480219247e-15
relative error = 4.7247618666771076564740800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.602
x[1] = -0.307
y[1] (analytic) = 0.91386878123717727866326585630876
y[1] (numeric) = 0.9138687812371816067057494329856
absolute error = 4.32804248357667684e-15
relative error = 4.7359561596112950554931600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.603
x[1] = -0.306
y[1] (analytic) = 0.91438101891305699519767088866862
y[1] (numeric) = 0.91438101891306133577843958122624
absolute error = 4.34058076869255762e-15
relative error = 4.7470153895498539453063200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.603
x[1] = -0.305
y[1] (analytic) = 0.91489215708698337183504494407722
y[1] (numeric) = 0.91489215708698772483572489857907
absolute error = 4.35300067995450185e-15
relative error = 4.7579385682072693845962500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.057
Order of pole = 3.604
x[1] = -0.304
y[1] (analytic) = 0.91540219110668463296033745386373
y[1] (numeric) = 0.91540219110668899826138651920716
absolute error = 4.36530104906534343e-15
relative error = 4.7687247108157662084268800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.057
Order of pole = 3.604
x[1] = -0.303
y[1] (analytic) = 0.91591111632162768396303749098972
y[1] (numeric) = 0.91591111632163206144374722414177
absolute error = 4.37748070973315205e-15
relative error = 4.7793728362130430065584500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.057
Order of pole = 3.605
x[1] = -0.302
y[1] (analytic) = 0.91641892808310819975000091641893
y[1] (numeric) = 0.91641892808311258928849869517873
absolute error = 4.38953849777875980e-15
relative error = 4.7898819669301738087992000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.606
x[1] = -0.301
y[1] (analytic) = 0.91692562174434096429399936365362
y[1] (numeric) = 0.91692562174434536576725060738885
absolute error = 4.40147325124373523e-15
relative error = 4.8002511292796688855732300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.606
x[1] = -0.3
y[1] (analytic) = 0.91743119266055045871559633027523
y[1] (numeric) = 0.91743119266055487199940682907
absolute error = 4.41328381049879477e-15
relative error = 4.8104793534436862993000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.607
x[1] = -0.299
y[1] (analytic) = 0.91793563618906169537204390302561
y[1] (numeric) = 0.91793563618906612034106225566699
absolute error = 4.42496901835264138e-15
relative error = 4.8205656735623858720133800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
memory used=282.2MB, alloc=4.6MB, time=43.41
Radius of convergence = 1.056
Order of pole = 3.608
x[1] = -0.298
y[1] (analytic) = 0.91843894768939129540302937902506
y[1] (numeric) = 0.91843894768939573193074954024509
absolute error = 4.43652772016122003e-15
relative error = 4.8305091278224170135441200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.608
x[1] = -0.297
y[1] (analytic) = 0.91894112252333880715928649735483
y[1] (numeric) = 0.91894112252334325511805043473426
absolute error = 4.44795876393737943e-15
relative error = 4.8403087585455317321408700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.609
x[1] = -0.296
y[1] (analytic) = 0.91944215605507826291632340826174
y[1] (numeric) = 0.91944215605508272217732386919126
absolute error = 4.45926100046092952e-15
relative error = 4.8499636122773143208243200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.61
x[1] = -0.295
y[1] (analytic) = 0.91994204365124997125181113589844
y[1] (numeric) = 0.91994204365125444168509452498225
absolute error = 4.47043328338908381e-15
relative error = 4.8594727398760188285652500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.61
x[1] = -0.294
y[1] (analytic) = 0.92044078068105254244152439720333
y[1] (numeric) = 0.9204407806810570239159937644791
absolute error = 4.48147446936727577e-15
relative error = 4.8688351966015056184557200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.611
x[1] = -0.293
y[1] (analytic) = 0.92093836251633514420513349462034
y[1] (numeric) = 0.92093836251633963658855163495851
absolute error = 4.49238341814033817e-15
relative error = 4.8780500422042680615563300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.612
x[1] = -0.292
y[1] (analytic) = 0.92143478453168998510961388196789
y[1] (numeric) = 0.92143478453169448826860654600221
absolute error = 4.50315899266403432e-15
relative error = 4.8871163410145405422604800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.613
x[1] = -0.291
y[1] (analytic) = 0.92193004210454502291457119650847
y[1] (numeric) = 0.9219300421045495367146304134382
absolute error = 4.51380005921692973e-15
relative error = 4.8960331620314785564661300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.614
x[1] = -0.29
y[1] (analytic) = 0.92242413061525689512037634904529
y[1] (numeric) = 0.92242413061526141942586386163828
absolute error = 4.52430548751259299e-15
relative error = 4.9047995790124020604590000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.614
x[1] = -0.289
y[1] (analytic) = 0.9229170454472040689566699676333
y[1] (numeric) = 0.92291704544720860363082077974742
absolute error = 4.53467415081211412e-15
relative error = 4.9134146705620927034165200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.615
x[1] = -0.288
y[1] (analytic) = 0.92340878198688020802553040600437
y[1] (numeric) = 0.92340878198688475293045644293324
absolute error = 4.54490492603692887e-15
relative error = 4.9218775202221358981932800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.616
x[1] = -0.287
y[1] (analytic) = 0.92389933562398775279040696841835
y[1] (numeric) = 0.92389933562399230778710085035543
absolute error = 4.55499669388193708e-15
relative error = 4.9301872165602983553425200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.617
x[1] = -0.286
y[1] (analytic) = 0.92438870175153171207880228804691
y[1] (numeric) = 0.92438870175153627702714121695016
absolute error = 4.56494833892890325e-15
relative error = 4.9383428532599318202370000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.617
x[1] = -0.285
y[1] (analytic) = 0.92487687576591366274364725195958
y[1] (numeric) = 0.9248768757659182375023970120867
absolute error = 4.57475874976012712e-15
relative error = 4.9463435292093934453220000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.618
x[1] = -0.284
y[1] (analytic) = 0.92536385306702595460535082394397
y[1] (numeric) = 0.92536385306703053903216989631627
absolute error = 4.58442681907237230e-15
relative error = 4.9541883485914735602288000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.619
x[1] = -0.283
y[1] (analytic) = 0.92584962905834611777362791399598
y[1] (numeric) = 0.92584962905835071172507170503645
absolute error = 4.59395144379104047e-15
relative error = 4.9618764209728211102018300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.62
x[1] = -0.282
y[1] (analytic) = 0.92633419914703146942541342295308
y[1] (numeric) = 0.92633419914703607275693860753197
absolute error = 4.60333152518457889e-15
relative error = 4.9694068613933573416483600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.621
x[1] = -0.281
y[1] (analytic) = 0.92681755874401391709246210011298
y[1] (numeric) = 0.92681755874401852965843107922147
absolute error = 4.61256596897910849e-15
relative error = 4.9767787904556678754788900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.621
x[1] = -0.28
y[1] (analytic) = 0.92729970326409495548961424332344
y[1] (numeric) = 0.92729970326409957714329971658358
absolute error = 4.62165368547326014e-15
relative error = 4.9839913344143637349760000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.622
x[1] = -0.279
y[1] (analytic) = 0.92778062812604085389217890208296
y[1] (numeric) = 0.92778062812604548448576855528907
absolute error = 4.63059358965320611e-15
relative error = 4.9910436252654013268085100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.623
x[1] = -0.278
y[1] (analytic) = 0.92826032875267803104845147611957
y[1] (numeric) = 0.92826032875268267043305278399352
absolute error = 4.63938460130787395e-15
relative error = 4.9979348008353516803518000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.623
x[1] = -0.277
y[1] (analytic) = 0.92873880057098861459104380025057
y[1] (numeric) = 0.92873880057099326261668894458034
absolute error = 4.64802564514432977e-15
relative error = 5.0046640048706090489223300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.624
x[1] = -0.276
y[1] (analytic) = 0.92921603901220618188846434040529
y[1] (numeric) = 0.92921603901221083840411524372312
absolute error = 4.65651565090331783e-15
relative error = 5.0112303871265289690180800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.625
memory used=286.1MB, alloc=4.6MB, time=44.01
x[1] = -0.275
y[1] (analytic) = 0.92969203951191167925624636839047
y[1] (numeric) = 0.92969203951191634410979984333364
absolute error = 4.66485355347494317e-15
relative error = 5.0176331034564857472312500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.625
x[1] = -0.274
y[1] (analytic) = 0.93016679751012951642488531043387
y[1] (numeric) = 0.9301667975101341894631783249178
absolute error = 4.67303829301448393e-15
relative error = 5.0238713159008393255286800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.626
x[1] = -0.273
y[1] (analytic) = 0.93064030845142383313991525589351
y[1] (numeric) = 0.93064030845142851420873031421361
absolute error = 4.68106881505832010e-15
relative error = 5.0299441927758016387329000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.627
x[1] = -0.272
y[1] (analytic) = 0.93111256778499493474763124962755
y[1] (numeric) = 0.9311125677849996236917018895924
absolute error = 4.68894407063996485e-15
relative error = 5.0358509087621920094624000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.627
x[1] = -0.271
y[1] (analytic) = 0.93158357096477589359825085868716
y[1] (numeric) = 0.93158357096478059026126726487223
absolute error = 4.69666301640618507e-15
relative error = 5.0415906449940717077258700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.628
x[1] = -0.27
y[1] (analytic) = 0.9320533134495293130767079876969
y[1] (numeric) = 0.93205331344953401730132272089416
absolute error = 4.70422461473319726e-15
relative error = 5.0471625891472473402540000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.628
x[1] = -0.269
y[1] (analytic) = 0.93252179070294425104978640588384
y[1] (numeric) = 0.93252179070294896267762024880864
absolute error = 4.71162783384292480e-15
relative error = 5.0525659355276326814528000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.629
x[1] = -0.268
y[1] (analytic) = 0.93298899819373329949693233217394
y[1] (numeric) = 0.93298899819373801836858025147674
absolute error = 4.71887164791930280e-15
relative error = 5.0577998851594588043072000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.629
x[1] = -0.267
y[1] (analytic) = 0.93345493139572981707083709437883
y[1] (numeric) = 0.93345493139573454302587431899529
absolute error = 4.72595503722461646e-15
relative error = 5.0628636458733221428169400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.63
x[1] = -0.266
y[1] (analytic) = 0.93391958578798531131275472656702
y[1] (numeric) = 0.9339195857879900441897429424257
absolute error = 4.73287698821585868e-15
relative error = 5.0677564323940599767620800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.63
x[1] = -0.265
y[1] (analytic) = 0.93438295685486696722651778831554
y[1] (numeric) = 0.93438295685487170686301144940826
absolute error = 4.73963649366109272e-15
relative error = 5.0724774664284429562620000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.631
x[1] = -0.264
y[1] (analytic) = 0.9348450400861553188943400741893
y[1] (numeric) = 0.93484504008616006512689282999495
absolute error = 4.74623255275580565e-15
relative error = 5.0770259767526742805824000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.631
x[1] = -0.263
y[1] (analytic) = 0.93530583097714206079674962517619
y[1] (numeric) = 0.93530583097714681346092086441417
absolute error = 4.75266417123923798e-15
relative error = 5.0814011992996848318386200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.631
x[1] = -0.262
y[1] (analytic) = 0.93576532502872799547838194946119
y[1] (numeric) = 0.93576532502873275440874346013632
absolute error = 4.75893036151067513e-15
relative error = 5.0856023772462139136237200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.631
x[1] = -0.261
y[1] (analytic) = 0.93622351774752111418088400096993
y[1] (numeric) = 0.93622351774752587921102674665592
absolute error = 4.76503014274568599e-15
relative error = 5.0896287610996648653247900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.632
x[1] = -0.26
y[1] (analytic) = 0.93668040464593480704383664293743
y[1] (numeric) = 0.93668040464593957800637765523133
absolute error = 4.77096254101229390e-15
relative error = 5.0934796087847249676400000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.632
x[1] = -0.259
y[1] (analytic) = 0.93713598124228619945439943172074
y[1] (numeric) = 0.93713598124229097618098881878608
absolute error = 4.77672658938706534e-15
relative error = 5.0971541857297390700725400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.632
x[1] = -0.258
y[1] (analytic) = 0.93759024306089461110631898320213
y[1] (numeric) = 0.93759024306089939342764705430348
absolute error = 4.78232132807110135e-15
relative error = 5.1006517649528261402614000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = -0.257
y[1] (analytic) = 0.93804318563218013430902331881555
y[1] (numeric) = 0.93804318563218492205482782473236
absolute error = 4.78774580450591681e-15
relative error = 5.1039716271477281093836900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = -0.256
y[1] (analytic) = 0.93849480449276232806775181692594
y[1] (numeric) = 0.93849480449276712106682530611846
absolute error = 4.79299907348919252e-15
relative error = 5.1071130607693802409907200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = -0.255
y[1] (analytic) = 0.93894509518555902443604610220417
y[1] (numeric) = 0.93894509518556382251624339258915
absolute error = 4.79808019729038498e-15
relative error = 5.1100753621191922633245000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = -0.254
y[1] (analytic) = 0.93939405325988524362245377241864
y[1] (numeric) = 0.9393940532598900466106995385973
absolute error = 4.80298824576617866e-15
relative error = 5.1128578354300294424285600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = -0.253
y[1] (analytic) = 0.93984167427155221431397666749059
y[1] (numeric) = 0.93984167427155702203627314325622
absolute error = 4.80772229647576563e-15
relative error = 5.1154597929508829122106700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = -0.252
y[1] (analytic) = 0.94028795378296649565963080533783
y[1] (numeric) = 0.94028795378297130794106560127483
absolute error = 4.81228143479593700e-15
relative error = 5.1178805550312181832480000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.6MB, time=44.60
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = -0.251
y[1] (analytic) = 0.94073288736322919733847851507195
y[1] (numeric) = 0.94073288736323401400323255104307
absolute error = 4.81666475403597112e-15
relative error = 5.1201194502049913365311200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = -0.25
y[1] (analytic) = 0.94117647058823529411764705882353
y[1] (numeric) = 0.94117647058824011498900261112618
absolute error = 4.82087135555230265e-15
relative error = 5.1221758152743215656250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.632
x[1] = -0.249
y[1] (analytic) = 0.94161869904077303128716451302777
y[1] (numeric) = 0.94161869904077785618751337598517
absolute error = 4.82490034886295740e-15
relative error = 5.1240489953928096217574000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.632
x[1] = -0.248
y[1] (analytic) = 0.94205956831062341733992523815266
y[1] (numeric) = 0.94205956831062824609077699988978
absolute error = 4.82875085176173712e-15
relative error = 5.1257383441484909998284800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.632
x[1] = -0.247
y[1] (analytic) = 0.9424990739946598002467462575718
y[1] (numeric) = 0.94249907399466463266873668971038
absolute error = 4.83242199043213858e-15
relative error = 5.1272432236464129226272200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.631
x[1] = -0.246
y[1] (analytic) = 0.94293721169694752365829464147641
y[1] (numeric) = 0.94293721169695235957119420246786
absolute error = 4.83591289956099145e-15
relative error = 5.1285630045908244085882000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.631
x[1] = -0.245
y[1] (analytic) = 0.94337397702884365934765689488455
y[1] (numeric) = 0.94337397702884849857037934668353
absolute error = 4.83922272245179898e-15
relative error = 5.1296970663669682137745000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.631
x[1] = -0.244
y[1] (analytic) = 0.94380936560909681218948671871461
y[1] (numeric) = 0.94380936560910165454009785648048
absolute error = 4.84235061113776587e-15
relative error = 5.1306447971224638988363200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.63
x[1] = -0.243
y[1] (analytic) = 0.94424337306394699395400968227155
y[1] (numeric) = 0.94424337306395183924973617676892
absolute error = 4.84529572649449737e-15
relative error = 5.1314055938482709452011300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.63
x[1] = -0.242
y[1] (analytic) = 0.94467599502722556217668464070193
y[1] (numeric) = 0.94467599502723041023392299305565
absolute error = 4.84805723835235372e-15
relative error = 5.1319788624592209632580800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.629
x[1] = -0.241
y[1] (analytic) = 0.94510722714045522034702447166143
y[1] (numeric) = 0.94510722714046007098135008010543
absolute error = 4.85063432560844400e-15
relative error = 5.1323640178741080359640000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.629
x[1] = -0.24
y[1] (analytic) = 0.94553706505295007564296520423601
y[1] (numeric) = 0.94553706505295492866914154247946
absolute error = 4.85302617633824345e-15
relative error = 5.1325604840953262727200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.628
x[1] = -0.239
y[1] (analytic) = 0.94596550442191575042024517533944
y[1] (numeric) = 0.94596550442192060565223308215759
absolute error = 4.85523198790681815e-15
relative error = 5.1325676942880435095461500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.628
x[1] = -0.238
y[1] (analytic) = 0.94639254091254954364951677196861
y[1] (numeric) = 0.94639254091255440090048385160962
absolute error = 4.85725096707964101e-15
relative error = 5.1323850908589001953704400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.627
x[1] = -0.237
y[1] (analytic) = 0.94681817019814063847736489141416
y[1] (numeric) = 0.94681817019814549755969502439715
absolute error = 4.85908233013298299e-15
relative error = 5.1320121255342225115653100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.627
x[1] = -0.236
y[1] (analytic) = 0.94724238796017035207105075703612
y[1] (numeric) = 0.94724238796017521279635372089956
absolute error = 4.86072530296386344e-15
relative error = 5.1314482594377387781542400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.626
x[1] = -0.235
y[1] (analytic) = 0.94766518988841242389063943708688
y[1] (numeric) = 0.94766518988841728606976063663021
absolute error = 4.86217912119954333e-15
relative error = 5.1306929631677881103992500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.626
x[1] = -0.234
y[1] (analytic) = 0.94808657168103333851620659185632
y[1] (numeric) = 0.94808657168103820195923689840155
absolute error = 4.86344303030654523e-15
relative error = 5.1297457168740104206138800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.625
x[1] = -0.233
y[1] (analytic) = 0.94850652904469267914205687434849
y[1] (numeric) = 0.94850652904469754365834257353229
absolute error = 4.86451628569918380e-15
relative error = 5.1286060103335067893182000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.624
x[1] = -0.232
y[1] (analytic) = 0.94892505769464350783432527632698
y[1] (numeric) = 0.94892505769464837323247812391749
absolute error = 4.86539815284759051e-15
relative error = 5.1272733430264592216102400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.624
x[1] = -0.231
y[1] (analytic) = 0.94934215335483276863297577943364
y[1] (numeric) = 0.94934215335483763472088316465018
absolute error = 4.86608790738521654e-15
relative error = 5.1257472242111990797909400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.623
x[1] = -0.23
y[1] (analytic) = 0.94975781175800170956406116440308
y[1] (numeric) = 0.94975781175800657614889638020025
absolute error = 4.86658483521579717e-15
relative error = 5.1240271729987128402930000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.622
x[1] = -0.229
y[1] (analytic) = 0.95017202864578631961316596369773
y[1] (numeric) = 0.9501720286457911865013985834596
absolute error = 4.86688823261976187e-15
relative error = 5.1221127184265748022246700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.6MB, time=45.20
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.621
x[1] = -0.228
y[1] (analytic) = 0.95058479976881777669622351670748
y[1] (numeric) = 0.95058479976882264369362987678085
absolute error = 4.86699740636007337e-15
relative error = 5.1200033995322954240660800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.621
x[1] = -0.227
y[1] (analytic) = 0.9509961208868229026493800931786
y[1] (numeric) = 0.95099612088682776956105388065829
absolute error = 4.86691167378747969e-15
relative error = 5.1176987654260747309460100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.62
x[1] = -0.226
y[1] (analytic) = 0.95140598776872462124527626927073
y[1] (numeric) = 0.95140598776872948787563921443334
absolute error = 4.86663036294516261e-15
relative error = 5.1151983753629497354683600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.619
x[1] = -0.225
y[1] (analytic) = 0.95181439619274241522903033908388
y[1] (numeric) = 0.95181439619274728138184301185034
absolute error = 4.86615281267276646e-15
relative error = 5.1125017988143252620375000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.618
x[1] = -0.224
y[1] (analytic) = 0.95222134194649277835334267779877
y[1] (numeric) = 0.95222134194649764383171538758944
absolute error = 4.86547837270979067e-15
relative error = 5.1096086155388771266579200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.618
x[1] = -0.223
y[1] (analytic) = 0.95262682082708965837849578319738
y[1] (numeric) = 0.9526268208270945229848995815274
absolute error = 4.86460640379833002e-15
relative error = 5.1065184156528171735645800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.617
x[1] = -0.222
y[1] (analytic) = 0.95303082864124488698960433972118
y[1] (numeric) = 0.95303082864124975052588212486729
absolute error = 4.86353627778514611e-15
relative error = 5.1032307996995092508852400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.616
x[1] = -0.221
y[1] (analytic) = 0.95343336120536859257027518947104
y[1] (numeric) = 0.95343336120537345483765291252483
absolute error = 4.86226737772305379e-15
relative error = 5.0997453787184254601573900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.615
x[1] = -0.22
y[1] (analytic) = 0.95383441434566959175887066005341
y[1] (numeric) = 0.9538344143456744525579686316597
absolute error = 4.86079909797160629e-15
relative error = 5.0960617743134320344360000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.615
x[1] = -0.219
y[1] (analytic) = 0.95423398389825575570083237830415
y[1] (numeric) = 0.95423398389826061483167667536691
absolute error = 4.85913084429706276e-15
relative error = 5.0921796187203941870323600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.614
x[1] = -0.218
y[1] (analytic) = 0.95463206570923434689801856568441
y[1] (numeric) = 0.95463206570923920416005253730633
absolute error = 4.85726203397162192e-15
relative error = 5.0880985548740892801260800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.613
x[1] = -0.217
y[1] (analytic) = 0.95502865563481232254373792485644
y[1] (numeric) = 0.95502865563481717773583379676209
absolute error = 4.85519209587190565e-15
relative error = 5.0838182364744178151528500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.612
x[1] = -0.216
y[1] (analytic) = 0.95542374954139660022012963189434
y[1] (numeric) = 0.95542374954140145314060020857064
absolute error = 4.85292047057667630e-15
relative error = 5.0793383280519017094528000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.612
x[1] = -0.215
y[1] (analytic) = 0.95581734330569428182274367368396
y[1] (numeric) = 0.95581734330569913226935413745533
absolute error = 4.85044661046377137e-15
relative error = 5.0746585050324592015782500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.611
x[1] = -0.214
y[1] (analytic) = 0.95620943281481283156562082853635
y[1] (numeric) = 0.95620943281481767933560063477606
absolute error = 4.84776997980623971e-15
relative error = 5.0697784538014462637591600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.61
x[1] = -0.213
y[1] (analytic) = 0.95660001396636020390885897706934
y[1] (numeric) = 0.95660001396636504879891384473214
absolute error = 4.84489005486766280e-15
relative error = 5.0646978717669537935732000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.609
x[1] = -0.212
y[1] (analytic) = 0.95698908266854491723958413082424
y[1] (numeric) = 0.95698908266854975904590812746943
absolute error = 4.84180632399664519e-15
relative error = 5.0594164674223504114193600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.609
x[1] = -0.211
y[1] (analytic) = 0.95737663484027606912642254200729
y[1] (numeric) = 0.95737663484028090764471026246533
absolute error = 4.83851828772045804e-15
relative error = 5.0539339604080605523988400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.608
x[1] = -0.21
y[1] (analytic) = 0.95776266641126328895699645627813
y[1] (numeric) = 0.95776266641126812398245529409772
absolute error = 4.83502545883781959e-15
relative error = 5.0482500815725674339190000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.607
x[1] = -0.209
y[1] (analytic) = 0.95814717332211662375764242139121
y[1] (numeric) = 0.95814717332212145508500493218806
absolute error = 4.83132736251079685e-15
relative error = 5.0423645730326309672048500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.607
x[1] = -0.208
y[1] (analytic) = 0.95853015152444635298447947978652
y[1] (numeric) = 0.95853015152445118040801583559886
absolute error = 4.82742353635581234e-15
relative error = 5.0362771882327102050777600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.606
x[1] = -0.207
y[1] (analytic) = 0.95891159698096272806513694695972
y[1] (numeric) = 0.95891159698096755137866748069986
absolute error = 4.82331353053374014e-15
relative error = 5.0299876920035803712588600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.605
x[1] = -0.206
y[1] (analytic) = 0.95929150566557563246088968531401
y[1] (numeric) = 0.95929150566558045145779752438934
absolute error = 4.81899690783907533e-15
relative error = 5.0234958606201343307038800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=297.5MB, alloc=4.6MB, time=45.81
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.605
x[1] = -0.205
y[1] (analytic) = 0.95966987356349415800964468222931
y[1] (numeric) = 0.95966987356349897248288847039057
absolute error = 4.81447324378816126e-15
relative error = 5.0168014818583587369515000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.604
x[1] = -0.204
y[1] (analytic) = 0.96004669667132609330117816930616
y[1] (numeric) = 0.96004669667133090304330487576482
absolute error = 4.80974212670645866e-15
relative error = 5.0099043550514746435945600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.604
x[1] = -0.203
y[1] (analytic) = 0.96042197099717731982723929585703
y[1] (numeric) = 0.96042197099718212463039711069819
absolute error = 4.80480315781484116e-15
relative error = 5.0028042911452329493624400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.603
x[1] = -0.202
y[1] (analytic) = 0.96079569256075111164061629278904
y[1] (numeric) = 0.96079569256075591129656760769056
absolute error = 4.79965595131490152e-15
relative error = 4.9955011127523547616220800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.603
x[1] = -0.201
y[1] (analytic) = 0.96116785739344733424900591214349
y[1] (numeric) = 0.96116785739345212854914038539667
absolute error = 4.79430013447325318e-15
relative error = 4.9879946542061070817251800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.602
x[1] = -0.2
y[1] (analytic) = 0.96153846153846153846153846153846
y[1] (numeric) = 0.96153846153846632719688616635
absolute error = 4.78873534770481154e-15
relative error = 4.9802847616130040016000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.602
x[1] = -0.199
y[1] (analytic) = 0.96190750105088394489809070980116
y[1] (numeric) = 0.96190750105088872785933536484093
absolute error = 4.78296124465503977e-15
relative error = 4.9723712929046239999317700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.602
x[1] = -0.198
y[1] (analytic) = 0.96227497199779831486406903745559
y[1] (numeric) = 0.96227497199780309184156131859928
absolute error = 4.77697749228114369e-15
relative error = 4.9642541178885336472227600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.601
x[1] = -0.197
y[1] (analytic) = 0.96264087045838070328616713948377
y[1] (numeric) = 0.96264087045838547406993807168446
absolute error = 4.77078377093220069e-15
relative error = 4.9559331182983084665782100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.601
x[1] = -0.196
y[1] (analytic) = 0.96300519252399808939769803238779
y[1] (numeric) = 0.9630051925240028537774724605952
absolute error = 4.76437977442820741e-15
relative error = 4.9474081878426414258625600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.601
x[1] = -0.195
y[1] (analytic) = 0.9633679342983068808554707256569
y[1] (numeric) = 0.96336793429831163862068086368819
absolute error = 4.75776521013803129e-15
relative error = 4.9386792322535299298022500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.601
x[1] = -0.194
y[1] (analytic) = 0.96372909189735128696382931972291
y[1] (numeric) = 0.96372909189735603790362837597385
absolute error = 4.75093979905625094e-15
relative error = 4.9297461693335320003778400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.6
x[1] = -0.193
y[1] (analytic) = 0.96408866144966155667539809631053
y[1] (numeric) = 0.964088661449666300578673975181
absolute error = 4.74390327587887047e-15
relative error = 4.9206089290020825161370300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.6
x[1] = -0.192
y[1] (analytic) = 0.96444663909635207703228195790383
y[1] (numeric) = 0.964446639096356813687671035797
absolute error = 4.73665538907789317e-15
relative error = 4.9112674533408606238188800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.6
x[1] = -0.191
y[1] (analytic) = 0.96480302099121932770595891289855
y[1] (numeric) = 0.96480302099122405690185988763826
absolute error = 4.72919590097473971e-15
relative error = 4.9017216966381991893605100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = -0.19
y[1] (analytic) = 0.96515780330083968728887173052794
y[1] (numeric) = 0.96515780330084440881345954302436
absolute error = 4.72152458781249642e-15
relative error = 4.8919716254325275407620000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = -0.189
y[1] (analytic) = 0.96551098220466708698578091976507
y[1] (numeric) = 0.96551098220467180062702074674421
absolute error = 4.71364123982697914e-15
relative error = 4.8820172185548386618599400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = -0.188
y[1] (analytic) = 0.96586255389513050734828231003415
y[1] (numeric) = 0.9658625538951352128939436266325
absolute error = 4.70554566131659835e-15
relative error = 4.8718584671701722020824000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = -0.187
y[1] (analytic) = 0.96621251457773131369152119532083
y[1] (numeric) = 0.96621251457773601092919190633216
absolute error = 4.69723767071101133e-15
relative error = 4.8614953748181046851987700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = -0.186
y[1] (analytic) = 0.96656086047114042582805268916563
y[1] (numeric) = 0.96656086047114511454515332771287
absolute error = 4.68871710063854724e-15
relative error = 4.8509279574522384203150400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = -0.185
y[1] (analytic) = 0.96690758780729531775000604317242
y[1] (numeric) = 0.96690758780729999773380403556356
absolute error = 4.67998379799239114e-15
relative error = 4.8401562434786807267665000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = -0.184
y[1] (analytic) = 0.9672526928314968428872105979943
y[1] (numeric) = 0.9672526928315015139248345935073
absolute error = 4.67103762399551300e-15
relative error = 4.8291802737935050881280000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = -0.183
y[1] (analytic) = 0.96759617180250588056573412972949
y[1] (numeric) = 0.96759617180251054244418839405765
absolute error = 4.66187845426432816e-15
relative error = 4.8180001018191862457502400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=301.3MB, alloc=4.6MB, time=46.39
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = -0.182
y[1] (analytic) = 0.96793802099263979928837196696621
y[1] (numeric) = 0.96793802099264445179455083804156
absolute error = 4.65250617887107535e-15
relative error = 4.8066157935400008498934000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = -0.181
y[1] (analytic) = 0.96827823668786873245600869901168
y[1] (numeric) = 0.96827823668787337537671110391063
absolute error = 4.64292070240489895e-15
relative error = 4.7950274275363858445009500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.602
x[1] = -0.18
y[1] (analytic) = 0.96861681518791166214645486245641
y[1] (numeric) = 0.96861681518791629526839889407854
absolute error = 4.63312194403162213e-15
relative error = 4.7832350950182466870120000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.602
x[1] = -0.179
y[1] (analytic) = 0.96895375280633230656533994288987
y[1] (numeric) = 0.96895375280633692967517749508739
absolute error = 4.62310983755219752e-15
relative error = 4.7712388998572074807383200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.602
x[1] = -0.178
y[1] (analytic) = 0.96928904587063480678192159614766
y[1] (numeric) = 0.96928904587063941966625305597024
absolute error = 4.61288433145982258e-15
relative error = 4.7590389586177955986247200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.603
x[1] = -0.177
y[1] (analytic) = 0.96962269072235920836125038663705
y[1] (numeric) = 0.96962269072236381080663938234341
absolute error = 4.60244538899570636e-15
relative error = 4.7466354005875528445524400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.603
x[1] = -0.176
y[1] (analytic) = 0.96995468371717673350301073933826
y[1] (numeric) = 0.96995468371718132529599894281352
absolute error = 4.59179298820347526e-15
relative error = 4.7340283678060661096537600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.604
x[1] = -0.175
y[1] (analytic) = 0.97028502122498483929654335961189
y[1] (numeric) = 0.97028502122498942022366534181672
absolute error = 4.58092712198220483e-15
relative error = 4.7212180150929098529187500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.604
x[1] = -0.174
y[1] (analytic) = 0.97061369963000205770104321560436
y[1] (numeric) = 0.97061369963000662754884135366966
absolute error = 4.56984779813806530e-15
relative error = 4.7082045100744933650228000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.605
x[1] = -0.173
y[1] (analytic) = 0.97094071533086261285972139827114
y[1] (numeric) = 0.97094071533086717141476083283953
absolute error = 4.55855503943456839e-15
relative error = 4.6949880332098055873443100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.605
x[1] = -0.172
y[1] (analytic) = 0.97126606474071081135681984180018
y[1] (numeric) = 0.97126606474071535840570348320352
absolute error = 4.54704888364140334e-15
relative error = 4.6815687778150506164105600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.606
x[1] = -0.171
y[1] (analytic) = 0.97158974428729520102677604176281
y[1] (numeric) = 0.97158974428729973635615962361278
absolute error = 4.53532938358184997e-15
relative error = 4.6679469500871668449727700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.606
x[1] = -0.17
y[1] (analytic) = 0.97191175041306249392555155991836
y[1] (numeric) = 0.97191175041306701732215873867543
absolute error = 4.52339660717875707e-15
relative error = 4.6541227691262231493230000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.607
x[1] = -0.169
y[1] (analytic) = 0.97223207957525124907516423430404
y[1] (numeric) = 0.97223207957525576032580173337839
absolute error = 4.51125063749907435e-15
relative error = 4.6400964669566854125103500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.608
x[1] = -0.168
y[1] (analytic) = 0.97255072824598531059380057263787
y[1] (numeric) = 0.97255072824598980948537336956425
absolute error = 4.49889157279692638e-15
relative error = 4.6258682885475468301491200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.608
x[1] = -0.167
y[1] (analytic) = 0.97286769291236699682553271802695
y[1] (numeric) = 0.97286769291237148314505927324424
absolute error = 4.48631952655521729e-15
relative error = 4.6114384918313157450008100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.609
x[1] = -0.166
y[1] (analytic) = 0.97318297007657003608562453043922
y[1] (numeric) = 0.97318297007657450962025205619416
absolute error = 4.47353462752575494e-15
relative error = 4.5968073477218546431266400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.61
x[1] = -0.165
y[1] (analytic) = 0.97349655625593224463968458711577
y[1] (numeric) = 0.97349655625593670517670435499937
absolute error = 4.46053701976788360e-15
relative error = 4.5819751401310642310100000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.611
x[1] = -0.164
y[1] (analytic) = 0.97380844798304794253751110141631
y[1] (numeric) = 0.9738084479830523898643737870306
absolute error = 4.44732686268561429e-15
relative error = 4.5669421659844065719438400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.611
x[1] = -0.163
y[1] (analytic) = 0.97411864180586010292537569320718
y[1] (numeric) = 0.97411864180586453682970675644942
absolute error = 4.43390433106324224e-15
relative error = 4.5517087352352615230745600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.612
x[1] = -0.162
y[1] (analytic) = 0.97442713428775223046371038466486
y[1] (numeric) = 0.97442713428775665073332548410568
absolute error = 4.42026961509944082e-15
relative error = 4.5362751708781105448800800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.613
x[1] = -0.161
y[1] (analytic) = 0.9747339220076399644806958820416
y[1] (numeric) = 0.97473392200764437090361632186352
absolute error = 4.40642292043982192e-15
relative error = 4.5206418089605425439883200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.614
x[1] = -0.16
y[1] (analytic) = 0.97503900156006240249609984399376
y[1] (numeric) = 0.9750390015600667948605680519462
absolute error = 4.39236446820795244e-15
relative error = 4.5048089985940760224640000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.6MB, time=46.99
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.614
x[1] = -0.159
y[1] (analytic) = 0.97534236955527313975388210646642
y[1] (numeric) = 0.97534236955527751784837714128369
absolute error = 4.37809449503481727e-15
relative error = 4.4887771019637924854028700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.615
x[1] = -0.158
y[1] (analytic) = 0.97564402261933102040657037710593
y[1] (numeric) = 0.97564402261933538401982346382476
absolute error = 4.36361325308671883e-15
relative error = 4.4725464943367756788721200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.616
x[1] = -0.157
y[1] (analytic) = 0.97594395739419059599921534105826
y[1] (numeric) = 0.97594395739419494492022543266215
absolute error = 4.34892101009160389e-15
relative error = 4.4561175640693518342846100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.617
x[1] = -0.156
y[1] (analytic) = 0.9762421705377922869058590150107
y[1] (numeric) = 0.9762421705377966209239083788189
absolute error = 4.33401804936380820e-15
relative error = 4.4394907126131258363552000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.618
x[1] = -0.155
y[1] (analytic) = 0.97653865872415224237689509533459
y[1] (numeric) = 0.97653865872415656128156492254457
absolute error = 4.31890466982720998e-15
relative error = 4.4226663545198086997695000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.618
x[1] = -0.154
y[1] (analytic) = 0.97683341864345189486146548456799
y[1] (numeric) = 0.97683341864345619844265152135136
absolute error = 4.30358118603678337e-15
relative error = 4.4056449174448317244029200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.619
x[1] = -0.153
y[1] (analytic) = 0.97712644700212720427512363092371
y[1] (numeric) = 0.97712644700213149232305182946678
absolute error = 4.28804792819854307e-15
relative error = 4.3884268421497427647256300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.62
x[1] = -0.152
y[1] (analytic) = 0.97741774052295758788940322782435
y[1] (numeric) = 0.97741774052296186019464541569619
absolute error = 4.27230524218787184e-15
relative error = 4.3710125825033804309913600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.621
x[1] = -0.151
y[1] (analytic) = 0.97770729594515453152666061139948
y[1] (numeric) = 0.97770729594515878788015017762205
absolute error = 4.25635348956622257e-15
relative error = 4.3534026054818220108185700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.621
x[1] = -0.15
y[1] (analytic) = 0.97799511002444987775061124694377
y[1] (numeric) = 0.97799511002445411794365884313057
absolute error = 4.24019304759618680e-15
relative error = 4.3355973911671010030000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.622
x[1] = -0.149
y[1] (analytic) = 0.97828117953318378675035536063847
y[1] (numeric) = 0.97828117953318801057466461556056
absolute error = 4.22382430925492209e-15
relative error = 4.3175974327446906153200900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.623
x[1] = -0.148
y[1] (analytic) = 0.97856550126039236562338536692292
y[1] (numeric) = 0.97856550126039657287106861285333
absolute error = 4.20724768324593041e-15
relative error = 4.2994032364997492697006400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.624
x[1] = -0.147
y[1] (analytic) = 0.97884807201189496177108854757544
y[1] (numeric) = 0.97884807201189915223468255675576
absolute error = 4.19046359400918032e-15
relative error = 4.2810153218121246975348800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.624
x[1] = -0.146
y[1] (analytic) = 0.97912888861038111612860270474564
y[1] (numeric) = 0.97912888861038528960108443431144
absolute error = 4.17347248172956580e-15
relative error = 4.2624342211501132245928000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.625
x[1] = -0.145
y[1] (analytic) = 0.97940794789549717195955045175192
y[1] (numeric) = 0.97940794789550132823435279544665
absolute error = 4.15627480234369473e-15
relative error = 4.2436604800629709116982500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.626
x[1] = -0.144
y[1] (analytic) = 0.97968524672393253495516960310991
y[1] (numeric) = 0.97968524672393667382619714811039
absolute error = 4.13887102754500048e-15
relative error = 4.2246946571721736099532800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.626
x[1] = -0.143
y[1] (analytic) = 0.97996078196950558038667292534953
y[1] (numeric) = 0.97996078196950970164831771251941
absolute error = 4.12126164478716988e-15
relative error = 4.2055373241614227168761200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.627
x[1] = -0.142
y[1] (analytic) = 0.9802345505232492030693104245984
y[1] (numeric) = 0.98023455052325330651646771048015
absolute error = 4.10344715728588175e-15
relative error = 4.1861890657653942696070000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.628
x[1] = -0.141
y[1] (analytic) = 0.98050654929349600590657145294402
y[1] (numeric) = 0.98050654929350009133465547179364
absolute error = 4.08542808401884962e-15
relative error = 4.1666504797572283692952200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.628
x[1] = -0.14
y[1] (analytic) = 0.98077677520596312279325225578658
y[1] (numeric) = 0.98077677520596718999821197994968
absolute error = 4.06720495972416310e-15
relative error = 4.1469221769347566967600000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.629
x[1] = -0.139
y[1] (analytic) = 0.98104522520383667166672716445555
y[1] (numeric) = 0.98104522520384072044506206137793
absolute error = 4.04877833489692238e-15
relative error = 4.1270047811054658173039800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.629
x[1] = -0.138
y[1] (analytic) = 0.98131189624785583350669843500379
y[1] (numeric) = 0.98131189624785986365547421916428
absolute error = 4.03014877578416049e-15
relative error = 4.1068989290701940423715600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.63
x[1] = -0.137
y[1] (analytic) = 0.98157678531639655309496068294186
y[1] (numeric) = 0.9815767853164005644118250609903
absolute error = 4.01131686437804844e-15
relative error = 4.0866052706055600311703600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.63
memory used=309.0MB, alloc=4.6MB, time=47.59
x[1] = -0.136
y[1] (analytic) = 0.98183988940555485735830086716099
y[1] (numeric) = 0.98183988940555884964149927453926
absolute error = 3.99228319840737827e-15
relative error = 4.0661244684451211384819200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.631
x[1] = -0.135
y[1] (analytic) = 0.98210120552922978712956370153944
y[1] (numeric) = 0.98210120552923376017795502885917
absolute error = 3.97304839132731973e-15
relative error = 4.0454571982592601320792500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.631
x[1] = -0.134
y[1] (analytic) = 0.98236073071920593817414505145606
y[1] (numeric) = 0.98236073071920989178721735890208
absolute error = 3.95361307230744602e-15
relative error = 4.0246041486337985207351200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.631
x[1] = -0.133
y[1] (analytic) = 0.98261846202523560734173210086775
y[1] (numeric) = 0.98261846202523954131961831889263
absolute error = 3.93397788621802488e-15
relative error = 4.0035660210473355221023200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = -0.132
y[1] (analytic) = 0.98287439651512053971598861438299
y[1] (numeric) = 0.98287439651512445385948222895383
absolute error = 3.91414349361457084e-15
relative error = 3.9823435298473111223161600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = -0.131
y[1] (analytic) = 0.98312853127479327264808619284459
y[1] (numeric) = 0.98312853127479716675865691350014
absolute error = 3.89411057072065555e-15
relative error = 3.9609374022247927198935500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = -0.13
y[1] (analytic) = 0.98338086340839807257350771953978
y[1] (numeric) = 0.98338086340840194645331712851235
absolute error = 3.87387980940897257e-15
relative error = 3.9393483781879842064330000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = -0.129
y[1] (analytic) = 0.9836313900383714605253968706751
y[1] (numeric) = 0.98363139003837531397731405132893
absolute error = 3.85345191718065383e-15
relative error = 3.9175772105344570903850300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.633
x[1] = -0.128
y[1] (analytic) = 0.98388010830552232227189723569045
y[1] (numeric) = 0.98388010830552615509951437852526
absolute error = 3.83282761714283481e-15
relative error = 3.8956246648221030155270400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.127
y[1] (analytic) = 0.98412701536911159901941584188622
y[1] (numeric) = 0.98412701536911541102706382635232
absolute error = 3.81200764798446610e-15
relative error = 3.8734915193388075537269000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.126
y[1] (analytic) = 0.98437210840693155463855824923514
y[1] (numeric) = 0.9843721084069353456313221996042
absolute error = 3.79099276395036906e-15
relative error = 3.8511785650708451191965600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.125
y[1] (analytic) = 0.98461538461538461538461538461538
y[1] (numeric) = 0.98461538461538838516835019814894
absolute error = 3.76978373481353356e-15
relative error = 3.8286866056699950218750000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.124
y[1] (analytic) = 0.98485684120956177809993539339122
y[1] (numeric) = 0.98485684120956552648128123904735
absolute error = 3.74838134584565613e-15
relative error = 3.8060164574193789386548800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.123
y[1] (analytic) = 0.98509647542332058290128643748726
y[1] (numeric) = 0.98509647542332430968768422340437
absolute error = 3.72678639778591711e-15
relative error = 3.7831689491980202499571900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.122
y[1] (analytic) = 0.98533428450936264637140796386582
y[1] (numeric) = 0.98533428450936635137111477186131
absolute error = 3.70499970680799549e-15
relative error = 3.7601449224441256948731600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = -0.121
y[1] (analytic) = 0.98557026573931075129035787041919
y[1] (numeric) = 0.98557026573931443431246235573987
absolute error = 3.68302210448532068e-15
relative error = 3.7369452311170902600758800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.632
x[1] = -0.12
y[1] (analytic) = 0.9858044164037854889589905362776
y[1] (numeric) = 0.98580441640378914981342829083813
absolute error = 3.66085443775456053e-15
relative error = 3.7135707416582262016320000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.632
x[1] = -0.119
y[1] (analytic) = 0.98603673381248145018394515269272
y[1] (numeric) = 0.98603673381248508868151403003785
absolute error = 3.63849756887734513e-15
relative error = 3.6900223329502172143859300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.632
x[1] = -0.118
y[1] (analytic) = 0.98626721529424296101088444498799
y[1] (numeric) = 0.98626721529424657696325984521439
absolute error = 3.61595237540022640e-15
relative error = 3.6663008962752991523936000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.632
x[1] = -0.117
y[1] (analytic) = 0.98649585819713935931039993528587
y[1] (numeric) = 0.98649585819714295253015004815948
absolute error = 3.59321975011287361e-15
relative error = 3.6424073352721687368472900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.631
x[1] = -0.116
y[1] (analytic) = 0.98672265988853980833899054325003
y[1] (numeric) = 0.98672265988854337863959154775521
absolute error = 3.57030060100450518e-15
relative error = 3.6183425658916218017020800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.631
x[1] = -0.115
y[1] (analytic) = 0.9869476177551876434158257050507
y[1] (numeric) = 0.98694761775519119061167692360837
absolute error = 3.54719585121855767e-15
relative error = 3.5941075163509230951857500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.631
x[1] = -0.114
y[1] (analytic) = 0.98717072920327424787462142002535
y[1] (numeric) = 0.98717072920327777178106042561803
absolute error = 3.52390643900559268e-15
relative error = 3.5697031270869093624692800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.63
memory used=312.8MB, alloc=4.6MB, time=48.19
x[1] = -0.113
y[1] (analytic) = 0.98739199165851245446888678464684
y[1] (numeric) = 0.98739199165851595490220445909008
absolute error = 3.50043331767444324e-15
relative error = 3.5451303507078282057315600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.63
x[1] = -0.112
y[1] (analytic) = 0.98761140256620946842803868276342
y[1] (numeric) = 0.98761140256621294520549422436428
absolute error = 3.47677745554160086e-15
relative error = 3.5203901519439147011878400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.629
x[1] = -0.111
y[1] (analytic) = 0.9878289593913393083814323717477
y[1] (numeric) = 0.98782895939134276132126825059314
absolute error = 3.45293983587884544e-15
relative error = 3.4954835075967086946662400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.629
x[1] = -0.11
y[1] (analytic) = 0.98804465961861476138721470210454
y[1] (numeric) = 0.98804465961861819030867156122428
absolute error = 3.42892145685911974e-15
relative error = 3.4704114064871150888540000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.628
x[1] = -0.109
y[1] (analytic) = 0.98825850075255884832307356299802
y[1] (numeric) = 0.98825850075256225304640506364919
absolute error = 3.40472333150065117e-15
relative error = 3.4451748494022104065507700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.628
x[1] = -0.108
y[1] (analytic) = 0.98847048031757579591643075171203
y[1] (numeric) = 0.98847048031757917626291836103519
absolute error = 3.38034648760932316e-15
relative error = 3.4197748490407983053382400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.627
x[1] = -0.107
y[1] (analytic) = 0.98868059585802151171240467883205
y[1] (numeric) = 0.98868059585802486750437239813141
absolute error = 3.35579196771929936e-15
relative error = 3.3942124299577176183726400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.626
x[1] = -0.106
y[1] (analytic) = 0.98888884493827355829895296449098
y[1] (numeric) = 0.98888884493827688935978199639462
absolute error = 3.33106082903190364e-15
relative error = 3.3684886285069061092990400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.626
x[1] = -0.105
y[1] (analytic) = 0.98909522514280062312999183996439
y[1] (numeric) = 0.98909522514280392928413519272385
absolute error = 3.30615414335275946e-15
relative error = 3.3426044927832236330465000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.625
x[1] = -0.104
y[1] (analytic) = 0.98929973407623148030897809294669
y[1] (numeric) = 0.98929973407623476138197512013908
absolute error = 3.28107299702719239e-15
relative error = 3.3165610825630385028902400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.624
x[1] = -0.103
y[1] (analytic) = 0.98950236936342344071742879788326
y[1] (numeric) = 0.98950236936342669653591967178299
absolute error = 3.25581849087389973e-15
relative error = 3.2903594692435809322355700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.624
x[1] = -0.102
y[1] (analytic) = 0.98970312864953028689514293292584
y[1] (numeric) = 0.98970312864953351728688304981749
absolute error = 3.23039174011689165e-15
relative error = 3.2640007357810677907266000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.623
x[1] = -0.101
y[1] (analytic) = 0.98990200960006968910147584490611
y[1] (numeric) = 0.9899020096000728938953501606144
absolute error = 3.20479387431570829e-15
relative error = 3.2374859766276028302662900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.622
x[1] = -0.1
y[1] (analytic) = 0.99009900990099009900990099009901
y[1] (numeric) = 0.99009900990099327803593828401689
absolute error = 3.17902603729391788e-15
relative error = 3.2108162976668570588000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.622
x[1] = -0.099
y[1] (analytic) = 0.99029412725873711751127202290352
y[1] (numeric) = 0.99029412725874027060065908880441
absolute error = 3.15308938706590089e-15
relative error = 3.1839928161485337846228900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.621
x[1] = -0.098
y[1] (analytic) = 0.990487359400319333124670662953
y[1] (numeric) = 0.99048735940032246010976642487866
absolute error = 3.12698509576192566e-15
relative error = 3.1570166606216231940386400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.62
x[1] = -0.097
y[1] (analytic) = 0.99067870407337362753849034435001
y[1] (numeric) = 0.99067870407337672825283989587128
absolute error = 3.10071434955152127e-15
relative error = 3.1298889708664515336294300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.619
x[1] = -0.096
y[1] (analytic) = 0.99086815904622994482846090430592
y[1] (numeric) = 0.99086815904623301910680946945945
absolute error = 3.07427834856515353e-15
relative error = 3.1026108978255299849324800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.618
x[1] = -0.095
y[1] (analytic) = 0.99105572210797552092366393300463
y[1] (numeric) = 0.99105572210797856860197074721515
absolute error = 3.04767830681421052e-15
relative error = 3.0751836035332087699430000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.618
x[1] = -0.094
y[1] (analytic) = 0.99124139106851856991622027762689
y[1] (numeric) = 0.9912413910685215908316723869309
absolute error = 3.02091545210930401e-15
relative error = 3.0476082610441418202323600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.617
x[1] = -0.093
y[1] (analytic) = 0.99142516375865142383524893198724
y[1] (numeric) = 0.99142516375865441782627490888102
absolute error = 2.99399102597689378e-15
relative error = 3.0198860543605679343032200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.616
x[1] = -0.092
y[1] (analytic) = 0.99160703803011312253089847530502
y[1] (numeric) = 0.99160703803011608943718204954674
absolute error = 2.96690628357424172e-15
relative error = 2.9920181783584141019180800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.615
x[1] = -0.091
y[1] (analytic) = 0.9917870117556514503397366408769
y[1] (numeric) = 0.99178701175565439000223024358023
absolute error = 2.93966249360270333e-15
relative error = 2.9640058387122273162757300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.615
memory used=316.6MB, alloc=4.6MB, time=48.80
x[1] = -0.09
y[1] (analytic) = 0.99196508282908441622854875508382
y[1] (numeric) = 0.99196508282908732848948697444782
absolute error = 2.91226093821936400e-15
relative error = 2.9358502518189408484000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.614
x[1] = -0.089
y[1] (analytic) = 0.99214124916536117413963991225503
y[1] (numeric) = 0.9921412491653640588425528592832
absolute error = 2.88470291294702817e-15
relative error = 2.9075526447204815801345700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.613
x[1] = -0.088
y[1] (analytic) = 0.99231550870062238028705703035692
y[1] (numeric) = 0.99231550870062523727678361292645
absolute error = 2.85698972658256953e-15
relative error = 2.8791142550252249484403200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.612
x[1] = -0.087
y[1] (analytic) = 0.99248785939225998417974352128738
y[1] (numeric) = 0.99248785939226281330244462493802
absolute error = 2.82912270110365064e-15
relative error = 2.8505363308283041716941600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.611
x[1] = -0.086
y[1] (analytic) = 0.9926582992189764501745093290027
y[1] (numeric) = 0.99265829921897925127768090282352
absolute error = 2.80110317157382082e-15
relative error = 2.8218201306307807987847200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.611
x[1] = -0.085
y[1] (analytic) = 0.99282682618084340638884062647373
y[1] (numeric) = 0.99282682618084617932132667247495
absolute error = 2.77293248604600122e-15
relative error = 2.7929669232576835788145000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.61
x[1] = -0.084
y[1] (analytic) = 0.99299343829935971783098457285394
y[1] (numeric) = 0.99299343829936246244299003722038
absolute error = 2.74461200546436644e-15
relative error = 2.7639779877749230096006400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.609
x[1] = -0.083
y[1] (analytic) = 0.99315813361750898063242323632496
y[1] (numeric) = 0.99315813361751169677552680095713
absolute error = 2.71614310356463217e-15
relative error = 2.7348546134050889210191300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.609
x[1] = -0.082
y[1] (analytic) = 0.99332091019981643429579507392294
y[1] (numeric) = 0.9933209101998191218229618466817
absolute error = 2.68752716677275876e-15
relative error = 2.7055980994421387899022400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.608
x[1] = -0.081
y[1] (analytic) = 0.9934817661324052888995301824728
y[1] (numeric) = 0.99348176613240794766512428455344
absolute error = 2.65876559410208064e-15
relative error = 2.6762097551649843910790400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.607
x[1] = -0.08
y[1] (analytic) = 0.99364069952305246422893481717011
y[1] (numeric) = 0.99364069952305509408873186604228
absolute error = 2.62985979704887217e-15
relative error = 2.6466908997499849518880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.607
x[1] = -0.079
y[1] (analytic) = 0.9937977085012437378321893065379
y[1] (numeric) = 0.99379770850124633864338879289821
absolute error = 2.60081119948636031e-15
relative error = 2.6170428621823546846947100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.606
x[1] = -0.078
y[1] (analytic) = 0.99395279121822829902870933242155
y[1] (numeric) = 0.99395279121823087064994688961672
absolute error = 2.57162123755719517e-15
relative error = 2.5872669811664931454142800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.606
x[1] = -0.077
y[1] (analytic) = 0.99410594584707270592656141735649
y[1] (numeric) = 0.99410594584707524821792098174594
absolute error = 2.54229135956438945e-15
relative error = 2.5573646050352467150490500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.605
x[1] = -0.076
y[1] (analytic) = 0.99425717058271424253511716326498
y[1] (numeric) = 0.9942571705827167553581430240032
absolute error = 2.51282302586073822e-15
relative error = 2.5273370916581098439587200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.604
x[1] = -0.075
y[1] (analytic) = 0.994406463642013673088875077688
y[1] (numeric) = 0.99440646364201615630658381441878
absolute error = 2.48321770873673078e-15
relative error = 2.4971858083483748906375000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.604
x[1] = -0.074
y[1] (analytic) = 0.99455382326380739072837143800548
y[1] (numeric) = 0.99455382326380984420526374497179
absolute error = 2.45347689230696631e-15
relative error = 2.4669121317692392575135600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.604
x[1] = -0.073
y[1] (analytic) = 0.99469924770895895771434028064445
y[1] (numeric) = 0.99469924770896138131641267573022
absolute error = 2.42360207239508577e-15
relative error = 2.4365174478388791820683300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.603
x[1] = -0.072
y[1] (analytic) = 0.99484273526041003438176493059977
y[1] (numeric) = 0.99484273526041242797652134783199
absolute error = 2.39359475641723222e-15
relative error = 2.4060031516344991518284800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.603
x[1] = -0.071
y[1] (analytic) = 0.99498428422323069407118714559904
y[1] (numeric) = 0.99498428422323305752765040965139
absolute error = 2.36345646326405235e-15
relative error = 2.3753706472953664378963500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = -0.07
y[1] (analytic) = 0.99512389292466912130560254751717
y[1] (numeric) = 0.9951238929246714544943257287694
absolute error = 2.33318872318125223e-15
relative error = 2.3446213479248403659270000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = -0.069
y[1] (analytic) = 0.99526155971420069051247012971244
y[1] (numeric) = 0.99526155971420299330554777843273
absolute error = 2.30279307764872029e-15
relative error = 2.3137566754914058473006900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = -0.068
y[1] (analytic) = 0.99539728296357642262179681154342
y[1] (numeric) = 0.99539728296357869489287606977454
absolute error = 2.27227107925823112e-15
relative error = 2.2827780607287211806988800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
memory used=320.4MB, alloc=4.6MB, time=49.41
x[1] = -0.067
y[1] (analytic) = 0.99553106106687081690292277964219
y[1] (numeric) = 0.99553106106687305852721436938581
absolute error = 2.24162429158974362e-15
relative error = 2.2516869430346899791101800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.066
y[1] (analytic) = 0.9956628924405290554345271995189
y[1] (numeric) = 0.99566289244053126628881628582651
absolute error = 2.21085428908630761e-15
relative error = 2.2204847703695675659491600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.065
y[1] (analytic) = 0.99579277552341357763449426174413
y[1] (numeric) = 0.99579277552341575759715118933694
absolute error = 2.17996265692759281e-15
relative error = 2.1891729991531118896222500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.064
y[1] (analytic) = 0.99592070877685002230862387660144
y[1] (numeric) = 0.99592070877685217125961477865623
absolute error = 2.14895099090205479e-15
relative error = 2.1577530941607896064198400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.063
y[1] (analytic) = 0.99604669068467253470973705363413
y[1] (numeric) = 0.99604669068467465253063433138658
absolute error = 2.11782089727775245e-15
relative error = 2.1262265284190478494740500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.062
y[1] (analytic) = 0.99617071975326843613151047373895
y[1] (numeric) = 0.99617071975327052270550314557085
absolute error = 2.08657399267183190e-15
relative error = 2.0945947830996624218236000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.061
y[1] (analytic) = 0.99629279451162225359437532939931
y[1] (numeric) = 0.99629279451162430880627924809112
absolute error = 2.05521190391869181e-15
relative error = 2.0628593474131732622250100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.06
y[1] (analytic) = 0.99641291351135910721402949382224
y[1] (numeric) = 0.9964129135113611309502974306679
absolute error = 2.02373626793684566e-15
relative error = 2.0310217185014183043760000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.059
y[1] (analytic) = 0.99653107532678745287653677548454
y[1] (numeric) = 0.99653107532678944502526836998083
absolute error = 1.99214873159449629e-15
relative error = 1.9990834013291767315854900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.058
y[1] (analytic) = 0.99664727855494117787761968737168
y[1] (numeric) = 0.99664727855494313832857126121046
absolute error = 1.96045095157383878e-15
relative error = 1.9670459085749331736559200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = -0.057
y[1] (analytic) = 0.99676152181562104721759004992778
y[1] (numeric) = 0.99676152181562297586218428403514
absolute error = 1.92864459423410736e-15
relative error = 1.9349107605207739748126400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = -0.056
y[1] (analytic) = 0.99687380375143549827740206711752
y[1] (numeric) = 0.99687380375143739500873754050034
absolute error = 1.89673133547338282e-15
relative error = 1.9026794849414273485235200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = -0.055
y[1] (analytic) = 0.99698412302784078163555245382717
y[1] (numeric) = 0.99698412302784264634841304300401
absolute error = 1.86471286058917684e-15
relative error = 1.8703536169924590999410000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = -0.054
y[1] (analytic) = 0.99709247833318044581998891233164
y[1] (numeric) = 0.99709247833318227841085305014132
absolute error = 1.83259086413780968e-15
relative error = 1.8379346990976355330268800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = -0.053
y[1] (analytic) = 0.99719886837872416382381889273032
y[1] (numeric) = 0.99719886837872596419086868532878
absolute error = 1.80036704979259846e-15
relative error = 1.8054242808354658690741400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.603
x[1] = -0.052
y[1] (analytic) = 0.99730329189870589924843223922514
y[1] (numeric) = 0.99730329189870766729156244009793
absolute error = 1.76804313020087279e-15
relative error = 1.7728239188249359500241600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.603
x[1] = -0.051
y[1] (analytic) = 0.9974057476503614099726611084569
y[1] (numeric) = 0.99740574765036314559348794829214
absolute error = 1.73562082683983524e-15
relative error = 1.7401351766104456514592400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.604
x[1] = -0.05
y[1] (analytic) = 0.99750623441396508728179551122195
y[1] (numeric) = 0.99750623441396679038366538250597
absolute error = 1.70310186987128402e-15
relative error = 1.7073596245459622300500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.604
x[1] = -0.049
y[1] (analytic) = 0.99760475099286612842565001431563
y[1] (numeric) = 0.99760475099286779891364800953137
absolute error = 1.67048799799521574e-15
relative error = 1.6744988396784022529917400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.605
x[1] = -0.048
y[1] (analytic) = 0.99770129621352404061043356107528
y[1] (numeric) = 0.99770129621352567839139186340118
absolute error = 1.63778095830232590e-15
relative error = 1.6415544056302544588736000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.605
x[1] = -0.047
y[1] (analytic) = 0.99779586892554347446490702039195
y[1] (numeric) = 0.99779586892554507944741314581735
absolute error = 1.60498250612542540e-15
relative error = 1.6085279124814564647086000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.606
x[1] = -0.046
y[1] (analytic) = 0.99788846800170838505721892475522
y[1] (numeric) = 0.99788846800170995715162381454649
absolute error = 1.57209440488979127e-15
relative error = 1.5754209566505380683273200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.606
x[1] = -0.045
y[1] (analytic) = 0.99797909233801551857488585614131
y[1] (numeric) = 0.99797909233801705769331181861145
absolute error = 1.53911842596247014e-15
relative error = 1.5422351407750441420335000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.607
x[1] = -0.044
y[1] (analytic) = 0.99806774085370722281662701010843
y[1] (numeric) = 0.99806774085370872887297551066139
memory used=324.2MB, alloc=4.6MB, time=50.02
absolute error = 1.50605634850055296e-15
relative error = 1.5089720735912500305305600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.607
x[1] = -0.043
y[1] (analytic) = 0.99815441249130357968116951756203
y[1] (numeric) = 0.99815441249130505259112881600211
absolute error = 1.47290995929844008e-15
relative error = 1.4756333698131828957079200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.608
x[1] = -0.042
y[1] (analytic) = 0.99823910621663385787470901330054
y[1] (numeric) = 0.99823910621663529755576164741597
absolute error = 1.43968105263411543e-15
relative error = 1.4422206500109620096185200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.609
x[1] = -0.041
y[1] (analytic) = 0.99832182101886728409543557280212
y[1] (numeric) = 0.9983218210188686904668656872513
absolute error = 1.40637143011444918e-15
relative error = 1.4087355404884715690715800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.609
x[1] = -0.04
y[1] (analytic) = 0.99840255591054313099041533546326
y[1] (numeric) = 0.99840255591054450397331585501144
absolute error = 1.37298290051954818e-15
relative error = 1.3751796731603794570880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.61
x[1] = -0.039
y[1] (analytic) = 0.99848130992760012021714971528305
y[1] (numeric) = 0.9984813099276014597344293614568
absolute error = 1.33951727964617375e-15
relative error = 1.3415546854285155802737500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.611
x[1] = -0.038
y[1] (analytic) = 0.99855808212940513897931387077061
y[1] (numeric) = 0.99855808212940644495570402101706
absolute error = 1.30597639015024645e-15
relative error = 1.3078622200576234058738000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.612
x[1] = -0.037
y[1] (analytic) = 0.99863287159878126844350084733999
y[1] (numeric) = 0.99863287159878254080556223579791
absolute error = 1.27236206138845792e-15
relative error = 1.2741039250504987188924800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.612
x[1] = -0.036
y[1] (analytic) = 0.99870567744203512248126428149119
y[1] (numeric) = 0.99870567744203636115739354050062
absolute error = 1.23867612925900943e-15
relative error = 1.2402814535225291062212800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.613
x[1] = -0.035
y[1] (analytic) = 0.99877649878898349521835751204774
y[1] (numeric) = 0.99877649878898470013879355354553
absolute error = 1.20492043604149779e-15
relative error = 1.2063964635756486247927500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.614
x[1] = -0.034
y[1] (analytic) = 0.99884533479297931591080710698433
y[1] (numeric) = 0.9988453347929804870076373429529
absolute error = 1.17109683023596857e-15
relative error = 1.1724506181717213496669200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.615
x[1] = -0.033
y[1] (analytic) = 0.99891218463093690970533089465572
y[1] (numeric) = 0.99891218463093804691249729581314
absolute error = 1.13720716640115742e-15
relative error = 1.1384455850053682804303800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.615
x[1] = -0.032
y[1] (analytic) = 0.99897704750335656287961127805128
y[1] (numeric) = 0.99897704750335766613291626999115
absolute error = 1.10325330499193987e-15
relative error = 1.1043830363762516164268800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.616
x[1] = -0.031
y[1] (analytic) = 0.99903992263434839119606058577707
y[1] (numeric) = 0.99903992263434946043317278178767
absolute error = 1.06923711219601060e-15
relative error = 1.0702646490608309661866000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.617
x[1] = -0.03
y[1] (analytic) = 0.99910080927165551004096313318014
y[1] (numeric) = 0.99910080927165654520142290299309
absolute error = 1.03516045976981295e-15
relative error = 1.0360921041836057816550000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.618
x[1] = -0.029
y[1] (analytic) = 0.99915970668667650505924517480799
y[1] (numeric) = 0.99915970668667750608447004854779
absolute error = 1.00102522487373980e-15
relative error = 1.0018670870878586151718000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.619
x[1] = -0.028
y[1] (analytic) = 0.99921661417448720203360565316792
y[1] (numeric) = 0.99921661417448816886689555979493
absolute error = 9.6683328990662701e-16
relative error = 9.6759128720591380557584000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.619
x[1] = -0.027
y[1] (analytic) = 0.9992715310538617347953342013672
y[1] (numeric) = 0.99927153105386266738187654092786
absolute error = 9.3258654233956066e-16
relative error = 9.3326639792892619972114000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.62
x[1] = -0.026
y[1] (analytic) = 0.99932445666729290999284483689026
y[1] (numeric) = 0.99932445666729380827971938590982
absolute error = 8.9828687454901956e-16
relative error = 8.9889411647621469722256000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.621
x[1] = -0.025
y[1] (analytic) = 0.99937539038101186758276077451593
y[1] (numeric) = 0.99937539038101273151894442389059
absolute error = 8.6393618364937466e-16
relative error = 8.6447614376415551916250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.622
x[1] = -0.024
y[1] (analytic) = 0.99942433158500703594729435844953
y[1] (numeric) = 0.99942433158500786548366568321647
absolute error = 8.2953637132476694e-16
relative error = 8.3001418427465000575744000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.623
x[1] = -0.023
y[1] (analytic) = 0.99947127969304238058067282407606
y[1] (numeric) = 0.99947127969304317567001648446156
absolute error = 7.9508934366038550e-16
relative error = 7.9550994592318184392950000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.623
x[1] = -0.022
y[1] (analytic) = 0.99951623414267494532646199239568
y[1] (numeric) = 0.99951623414267570592347296556363
absolute error = 7.6059701097316795e-16
relative error = 7.6096513992647896328780000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.624
x[1] = -0.021
memory used=328.0MB, alloc=4.6MB, time=50.63
y[1] (analytic) = 0.99955919439527168518683260682039
y[1] (numeric) = 0.99955919439527241124812024876531
absolute error = 7.2606128764194492e-16
relative error = 7.2638148066979501770972000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.625
x[1] = -0.02
y[1] (analytic) = 0.9996001599360255897640943622551
y[1] (numeric) = 0.99960015993602628124818629930594
absolute error = 6.9148409193705084e-16
relative error = 6.9176068557382566033600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.625
x[1] = -0.019
y[1] (analytic) = 0.99963913027397109643418725839972
y[1] (numeric) = 0.99963913027397175330153310782291
absolute error = 6.5686734584942319e-16
relative error = 6.5710447496127483177159000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.626
x[1] = -0.018
y[1] (analytic) = 0.99967610494199879239126523006546
y[1] (numeric) = 0.99967610494199941460424014927797
absolute error = 6.2221297491921251e-16
relative error = 6.2241457192308633485324000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.627
x[1] = -0.017
y[1] (analytic) = 0.99971108349686940474202955345905
y[1] (numeric) = 0.99971108349686999226493761738455
absolute error = 5.8752290806392550e-16
relative error = 5.8769270218435597446950000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.627
x[1] = -0.016
y[1] (analytic) = 0.99974406551922707786806577516156
y[1] (numeric) = 0.99974406551922763066714318128532
absolute error = 5.5279907740612376e-16
relative error = 5.5294059396993972768256000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.628
x[1] = -0.015
y[1] (analytic) = 0.99977505061361193731410432652653
y[1] (numeric) = 0.99977505061361245535752242722715
absolute error = 5.1804341810070062e-16
relative error = 5.1815997786977327763950000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.629
x[1] = -0.014
y[1] (analytic) = 0.99980403840847193949985802782655
y[1] (numeric) = 0.99980403840847242275772618958524
absolute error = 4.8325786816175869e-16
relative error = 4.8335258670391839470324000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.629
x[1] = -0.013
y[1] (analytic) = 0.99983102855617400659288580229941
y[1] (numeric) = 0.99983102855617445503725409141033
absolute error = 4.4844436828911092e-16
relative error = 4.4852015538735177974548000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.63
x[1] = -0.012
y[1] (analytic) = 0.99985602073301444591978755059271
y[1] (numeric) = 0.99985602073301485952464924502043
absolute error = 4.1360486169442772e-16
relative error = 4.1366442079451171759168000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.63
x[1] = -0.011
y[1] (analytic) = 0.99987901463922865333294671344767
y[1] (numeric) = 0.99987901463922903207424064050087
absolute error = 3.7874129392705320e-16
relative error = 3.7878712162361837343720000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.63
x[1] = -0.01
y[1] (analytic) = 0.99990000999900009999000099990001
y[1] (numeric) = 0.99990000999900044384561369941328
absolute error = 3.4385561269951327e-16
relative error = 3.4388999826078322132700000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.631
x[1] = -0.009
y[1] (analytic) = 0.99991900656046860204323449800566
y[1] (numeric) = 0.99991900656046891099300221074419
absolute error = 3.0894976771273853e-16
relative error = 3.0897479264392326182093000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.631
x[1] = -0.008
y[1] (analytic) = 0.99993600409573787277614232689108
y[1] (numeric) = 0.99993600409573814680185280791607
absolute error = 2.7402571048102499e-16
relative error = 2.7404324812649577559936000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = -0.007
y[1] (analytic) = 0.99995100240088235676451853859161
y[1] (numeric) = 0.9999510024008825958499126953473
absolute error = 2.3908539415675569e-16
relative error = 2.3909710934106937102881000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = -0.006
y[1] (analytic) = 0.9999640012959533456795555360007
y[1] (numeric) = 0.99996400129595354981032889090689
absolute error = 2.0413077335490619e-16
relative error = 2.0413812206274696662284000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = -0.005
y[1] (analytic) = 0.99997500062498437539061523461913
y[1] (numeric) = 0.99997500062498454455441921197627
absolute error = 1.6916380397735714e-16
relative error = 1.6916803307245657392850000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = -0.004
y[1] (analytic) = 0.99998400025599590406553495144078
y[1] (numeric) = 0.99998400025599603825197798847784
absolute error = 1.3418644303703706e-16
relative error = 1.3418859002012565259296000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = -0.003
y[1] (analytic) = 0.99999100008099927100656094095153
y[1] (numeric) = 0.99999100008099937020720942287008
absolute error = 9.920064848191855e-17
relative error = 9.9201541287754887266950000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = -0.002
y[1] (analytic) = 0.999996000015999936000255998976
y[1] (numeric) = 0.999996000016000000208635017867
absolute error = 6.420837901889100e-17
relative error = 6.4208635852407075564000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = -0.001
y[1] (analytic) = 0.999999000000999999000000999999
y[1] (numeric) = 0.99999900000100002821159493753223
absolute error = 2.921159393753323e-17
relative error = 2.9211623149127167533230000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = 0
y[1] (analytic) = 1
y[1] (numeric) = 0.99999999999999999421225293380924
absolute error = 5.78774706619076e-18
relative error = 5.7877470661907600000000000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
NO POLE
x[1] = 0.001
y[1] (analytic) = 0.999999000000999999000000999999
y[1] (numeric) = 0.99999900000099995821231693370924
absolute error = 4.078768406628976e-17
relative error = 4.0787724853973826289760000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = 0.002
y[1] (analytic) = 0.999996000015999936000255998976
y[1] (numeric) = 0.99999600001599986021399891584237
absolute error = 7.578625708313363e-17
relative error = 7.5786560228161962534520000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.6MB, time=51.23
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = 0.003
y[1] (analytic) = 0.99999100008099927100656094095153
y[1] (numeric) = 0.99999100008099916022505468110285
absolute error = 1.1078150625984868e-16
relative error = 1.1078250329340501863812000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = 0.004
y[1] (analytic) = 0.99998400025599590406553495144078
y[1] (numeric) = 0.99998400025599575829406291274397
absolute error = 1.4577147203869681e-16
relative error = 1.4577380438224942914896000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.633
x[1] = 0.005
y[1] (analytic) = 0.99997500062498437539061523461913
y[1] (numeric) = 0.99997500062498419463641989720393
absolute error = 1.8075419533741520e-16
relative error = 1.8075871419229863538000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = 0.006
y[1] (analytic) = 0.9999640012959533456795555360007
y[1] (numeric) = 0.99996400129595312995183781050742
absolute error = 2.1572771772549328e-16
relative error = 2.1573548392333139775808000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = 0.007
y[1] (analytic) = 0.99995100240088235676451853859161
y[1] (numeric) = 0.99995100240088210607443693822802
absolute error = 2.5069008160036359e-16
relative error = 2.5070236541436200781591000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = 0.008
y[1] (analytic) = 0.99993600409573787277614232689108
y[1] (numeric) = 0.99993600409573758713681196340767
absolute error = 2.8563933036348341e-16
relative error = 2.8565761128062667293824000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.632
x[1] = 0.009
y[1] (analytic) = 0.99991900656046860204323449800566
y[1] (numeric) = 0.99991900656046828146972590172171
absolute error = 3.2057350859628395e-16
relative error = 3.2059947505048024899995000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.631
x[1] = 0.01
y[1] (analytic) = 0.99990000999900009999000099990001
y[1] (numeric) = 0.99990000999899974449933876393622
absolute error = 3.5549066223596379e-16
relative error = 3.5552621130218738637900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.631
x[1] = 0.011
y[1] (analytic) = 0.99987901463922865333294671344767
y[1] (numeric) = 0.99987901463922826294410796234424
absolute error = 3.9038883875110343e-16
relative error = 3.9043607580059231351503000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.63
x[1] = 0.012
y[1] (analytic) = 0.99985602073301444591978755059271
y[1] (numeric) = 0.9998560207330140206537002335148
absolute error = 4.2526608731707791e-16
relative error = 4.2532732563365156921904000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.63
x[1] = 0.013
y[1] (analytic) = 0.99983102855617400659288580229941
y[1] (numeric) = 0.99983102855617354647242681105516
absolute error = 4.6012045899124425e-16
relative error = 4.6019821934881377027825000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.63
x[1] = 0.014
y[1] (analytic) = 0.99980403840847193949985802782655
y[1] (numeric) = 0.99980403840847144454985113994583
absolute error = 4.9495000688788072e-16
relative error = 4.9504701708923074462112000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.629
x[1] = 0.015
y[1] (analytic) = 0.99977505061361193731410432652653
y[1] (numeric) = 0.99977505061361140756131797367163
absolute error = 5.2975278635285490e-16
relative error = 5.2987198072978429235250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.629
x[1] = 0.016
y[1] (analytic) = 0.99974406551922707786806577516156
y[1] (numeric) = 0.99974406551922651334121063716389
absolute error = 5.6452685513799767e-16
relative error = 5.6467137401291299740352000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.628
x[1] = 0.017
y[1] (analytic) = 0.99971108349686940474202955345905
y[1] (numeric) = 0.9997110834968688054717559782991
absolute error = 5.9927027357515995e-16
relative error = 5.9944346268422317122555000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.627
x[1] = 0.018
y[1] (analytic) = 0.99967610494199879239126523006546
y[1] (numeric) = 0.99967610494199815841016048013581
absolute error = 6.3398110474992965e-16
relative error = 6.3418651462786862720660000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.627
x[1] = 0.019
y[1] (analytic) = 0.99963913027397109643418725839972
y[1] (numeric) = 0.99963913027397042777677258341394
absolute error = 6.6865741467498578e-16
relative error = 6.6889880000168344986658000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.626
x[1] = 0.02
y[1] (analytic) = 0.9996001599360255897640943622551
y[1] (numeric) = 0.99960015993602488646682189918794
absolute error = 7.0329727246306716e-16
relative error = 7.0357859137205238686400000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.625
x[1] = 0.021
y[1] (analytic) = 0.99955919439527168518683260682039
y[1] (numeric) = 0.99955919439527094728808210728746
absolute error = 7.3789875049953293e-16
relative error = 7.3822416384850322402213000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.625
x[1] = 0.022
y[1] (analytic) = 0.99951623414267494532646199239568
y[1] (numeric) = 0.99951623414267417286653737790324
absolute error = 7.7245992461449244e-16
relative error = 7.7283379521800585434096000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.624
x[1] = 0.023
y[1] (analytic) = 0.99947127969304238058067282407606
y[1] (numeric) = 0.99947127969304157360179856959427
absolute error = 8.0697887425448179e-16
relative error = 8.0740576607896241086691000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.623
x[1] = 0.024
y[1] (analytic) = 0.99942433158500703594729435844953
y[1] (numeric) = 0.99942433158500619449361170478469
absolute error = 8.4145368265366484e-16
relative error = 8.4193835997487335094784000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.623
x[1] = 0.025
y[1] (analytic) = 0.99937539038101186758276077451593
y[1] (numeric) = 0.99937539038101099170032376997978
absolute error = 8.7588243700453615e-16
relative error = 8.7642986352766398509375000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=335.7MB, alloc=4.6MB, time=51.84
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.622
x[1] = 0.026
y[1] (analytic) = 0.99932445666729290999284483689026
y[1] (numeric) = 0.99932445666729199972961620878659
absolute error = 9.1026322862810367e-16
relative error = 9.1087856657065626808092000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.621
x[1] = 0.027
y[1] (analytic) = 0.9992715310538617347953342013672
y[1] (numeric) = 0.99927153105386079020118105783807
absolute error = 9.4459415314352913e-16
relative error = 9.4528276228117076273577000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.62
x[1] = 0.028
y[1] (analytic) = 0.99921661417448720203360565316792
y[1] (numeric) = 0.99921661417448622316029501596408
absolute error = 9.7887331063720384e-16
relative error = 9.7964074731274340781056000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.619
x[1] = 0.029
y[1] (analytic) = 0.99915970668667650505924517480799
y[1] (numeric) = 0.99915970668667549196043934356984
absolute error = 1.01309880583123815e-15
relative error = 1.0139508219269422212841500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.619
x[1] = 0.03
y[1] (analytic) = 0.99910080927165551004096313318014
y[1] (numeric) = 0.99910080927165446277221488183746
absolute error = 1.04726874825134268e-15
relative error = 1.0482112901247688884120000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.618
x[1] = 0.031
y[1] (analytic) = 0.99903992263434839119606058577707
y[1] (numeric) = 0.9990399226343473098148081916976
absolute error = 1.08138125239407947e-15
relative error = 1.0824204597776301803706700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.617
x[1] = 0.032
y[1] (analytic) = 0.99897704750335656287961127805128
y[1] (numeric) = 0.9989770475033554474451733845897
absolute error = 1.11543443789346158e-15
relative error = 1.1165766427578644846579200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.616
x[1] = 0.033
y[1] (analytic) = 0.99891218463093690970533089465572
y[1] (numeric) = 0.99891218463093576027890120777625
absolute error = 1.14942642968687947e-15
relative error = 1.1506781550688084817428300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.615
x[1] = 0.034
y[1] (analytic) = 0.99884533479297931591080710698433
y[1] (numeric) = 0.99884533479297813255544892665136
absolute error = 1.18335535818033297e-15
relative error = 1.1847233169743894349133200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.615
x[1] = 0.035
y[1] (analytic) = 0.99877649878898349521835751204774
y[1] (numeric) = 0.99877649878898227799899809910041
absolute error = 1.21721935941294733e-15
relative error = 1.2187104531282281904792500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.614
x[1] = 0.036
y[1] (analytic) = 0.99870567744203512248126428149119
y[1] (numeric) = 0.9987056774420338714646890607387
absolute error = 1.25101657522075249e-15
relative error = 1.2526378927022385852270400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.613
x[1] = 0.037
y[1] (analytic) = 0.99863287159878126844350084733999
y[1] (numeric) = 0.99863287159877998369834744763565
absolute error = 1.28474515339970434e-15
relative error = 1.2865039695147085352414600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.612
x[1] = 0.038
y[1] (analytic) = 0.99855808212940513897931387077061
y[1] (numeric) = 0.99855808212940382057606600284335
absolute error = 1.31840324786792726e-15
relative error = 1.3203070221578485469634400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.612
x[1] = 0.039
y[1] (analytic) = 0.99848130992760012021714971528305
y[1] (numeric) = 0.99848130992759876822813088812597
absolute error = 1.35198901882715708e-15
relative error = 1.3540453941247931859186800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.611
x[1] = 0.04
y[1] (analytic) = 0.99840255591054313099041533546326
y[1] (numeric) = 0.99840255591054174548978241209916
absolute error = 1.38550063292336410e-15
relative error = 1.3877174339360414825600000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.61
x[1] = 0.041
y[1] (analytic) = 0.99832182101886728409543557280212
y[1] (numeric) = 0.99832182101886586515917216626672
absolute error = 1.41893626340653540e-15
relative error = 1.4213214952653217860074000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.609
x[1] = 0.042
y[1] (analytic) = 0.99823910621663385787470901330054
y[1] (numeric) = 0.99823910621663240558061872370397
absolute error = 1.45229409028959657e-15
relative error = 1.4548559370648674183494800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.609
x[1] = 0.043
y[1] (analytic) = 0.99815441249130357968116951756203
y[1] (numeric) = 0.99815441249130209410886901110971
absolute error = 1.48557230050645232e-15
relative error = 1.4883191236900887503396800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.608
x[1] = 0.044
y[1] (analytic) = 0.99806774085370722281662701010843
y[1] (numeric) = 0.99806774085370570404753894098208
absolute error = 1.51876908806912635e-15
relative error = 1.5217094250236281786136000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.607
x[1] = 0.045
y[1] (analytic) = 0.99797909233801551857488585614131
y[1] (numeric) = 0.99797909233801396669223163216089
absolute error = 1.55188265422398042e-15
relative error = 1.5550252165987839803505000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.607
x[1] = 0.046
y[1] (analytic) = 0.99788846800170838505721892475522
y[1] (numeric) = 0.99788846800170680014601131776205
absolute error = 1.58491120760699317e-15
relative error = 1.5882648797222895675477200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.606
x[1] = 0.047
y[1] (analytic) = 0.99779586892554347446490702039195
y[1] (numeric) = 0.99779586892554185661194262231295
absolute error = 1.61785296439807900e-15
relative error = 1.6214268015964343565110000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.606
x[1] = 0.048
y[1] (analytic) = 0.99770129621352404061043356107528
y[1] (numeric) = 0.99770129621352238990428508664731
absolute error = 1.65070614847442797e-15
relative error = 1.6545093754405130520428800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.6MB, time=52.45
Complex estimate of poles used
Radius of convergence = 1.012
Order of pole = 3.605
x[1] = 0.049
y[1] (analytic) = 0.99760475099286612842565001431563
y[1] (numeric) = 0.9976047509928644449566584514683
absolute error = 1.68346899156284733e-15
relative error = 1.6875110006115897264393300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.605
x[1] = 0.05
y[1] (analytic) = 0.99750623441396508728179551122195
y[1] (numeric) = 0.99750623441396337114206212013603
absolute error = 1.71613973339108592e-15
relative error = 1.7204300827245636348000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.604
x[1] = 0.051
y[1] (analytic) = 0.9974057476503614099726611084569
y[1] (numeric) = 0.99740574765035966125603927033433
absolute error = 1.74871662183812257e-15
relative error = 1.7532650337715235268045700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.604
x[1] = 0.052
y[1] (analytic) = 0.99730329189870589924843223922514
y[1] (numeric) = 0.99730329189870411805051915582514
absolute error = 1.78119791308340000e-15
relative error = 1.7860142722403775136000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.603
x[1] = 0.053
y[1] (analytic) = 0.99719886837872416382381889273032
y[1] (numeric) = 0.99719886837872235024194713774469
absolute error = 1.81358187175498563e-15
relative error = 1.8186762232327453846346700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.603
x[1] = 0.054
y[1] (analytic) = 0.99709247833318044581998891233164
y[1] (numeric) = 0.99709247833317859995321783569022
absolute error = 1.84586677107664142e-15
relative error = 1.8512493185811009063807200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = 0.055
y[1] (analytic) = 0.99698412302784078163555245382717
y[1] (numeric) = 0.99698412302783890358465944004282
absolute error = 1.87805089301378435e-15
relative error = 1.8837319969651510476587500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = 0.056
y[1] (analytic) = 0.99687380375143549827740206711752
y[1] (numeric) = 0.99687380375143358814487364879746
absolute error = 1.91013252841832006e-15
relative error = 1.9161227040274399117081600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = 0.057
y[1] (analytic) = 0.99676152181562104721759004992778
y[1] (numeric) = 0.99676152181561910510761287759603
absolute error = 1.94210997717233175e-15
relative error = 1.9484198924881646558557500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.602
x[1] = 0.058
y[1] (analytic) = 0.99664727855494117787761968737168
y[1] (numeric) = 0.99664727855493920389607135676451
absolute error = 1.97398154833060717e-15
relative error = 1.9806220222591913325198800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.059
y[1] (analytic) = 0.99653107532678745287653677548454
y[1] (numeric) = 0.99653107532678544713097651349823
absolute error = 2.00574556026198631e-15
relative error = 2.0127275605572582843451100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.06
y[1] (analytic) = 0.99641291351135910721402949382224
y[1] (numeric) = 0.99641291351135706981368870430941
absolute error = 2.03740034078951283e-15
relative error = 2.0447349820163550761880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.061
y[1] (analytic) = 0.99629279451162225359437532939931
y[1] (numeric) = 0.99629279451162018465014800002675
absolute error = 2.06894422732937256e-15
relative error = 2.0766427687992651552957600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.062
y[1] (analytic) = 0.99617071975326843613151047373895
y[1] (numeric) = 0.99617071975326633575594344513667
absolute error = 2.10037556702860228e-15
relative error = 2.1084494107082602271643200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.063
y[1] (analytic) = 0.99604669068467253470973705363413
y[1] (numeric) = 0.9960466906846704030170201520815
absolute error = 2.13169271690155263e-15
relative error = 2.1401534052949348923884700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.064
y[1] (analytic) = 0.99592070877685002230862387660144
y[1] (numeric) = 0.99592070877684785941457991151261
absolute error = 2.16289404396508883e-15
relative error = 2.1717532579691698338476800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.065
y[1] (analytic) = 0.99579277552341357763449426174413
y[1] (numeric) = 0.99579277552341138365656888923069
absolute error = 2.19397792537251344e-15
relative error = 2.2032474821072123092840000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.066
y[1] (analytic) = 0.9956628924405290554345271995189
y[1] (numeric) = 0.99566289244052683049177865332355
absolute error = 2.22494274854619535e-15
relative error = 2.2346345991588625769446000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.067
y[1] (analytic) = 0.99553106106687081690292277964219
y[1] (numeric) = 0.99553106106686856111601147075265
absolute error = 2.25578691130888954e-15
relative error = 2.2659131387537551451450600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.013
Order of pole = 3.601
x[1] = 0.068
y[1] (analytic) = 0.99539728296357642262179681154342
y[1] (numeric) = 0.9953972829635741361129747978109
absolute error = 2.28650882201373252e-15
relative error = 2.2970816388067240191724800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = 0.069
y[1] (analytic) = 0.99526155971420069051247012971244
y[1] (numeric) = 0.99526155971419837340557045681424
absolute error = 2.31710689967289820e-15
relative error = 2.3281386456222408683302000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = 0.07
y[1] (analytic) = 0.99512389292466912130560254751717
y[1] (numeric) = 0.99512389292466677372602846261763
absolute error = 2.34757957408489954e-15
relative error = 2.3590827139979155477460000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = 0.071
y[1] (analytic) = 0.99498428422323069407118714559904
y[1] (numeric) = 0.99498428422322831614590118507753
absolute error = 2.37792528596052151e-15
relative error = 2.3899124073270484989319100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=343.3MB, alloc=4.6MB, time=53.06
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.602
x[1] = 0.072
y[1] (analytic) = 0.99484273526041003438176493059977
y[1] (numeric) = 0.99484273526040762623927788322887
absolute error = 2.40814248704737090e-15
relative error = 2.4206262977002244707456000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.603
x[1] = 0.073
y[1] (analytic) = 0.99469924770895895771434028064445
y[1] (numeric) = 0.99469924770895651948470002761542
absolute error = 2.43822964025302903e-15
relative error = 2.4512229660059374217008700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.603
x[1] = 0.074
y[1] (analytic) = 0.99455382326380739072837143800548
y[1] (numeric) = 0.99455382326380492254315167121204
absolute error = 2.46818521976679344e-15
relative error = 2.4817010020302364008774400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.604
x[1] = 0.075
y[1] (analytic) = 0.994406463642013673088875077688
y[1] (numeric) = 0.99440646364201117508116389769287
absolute error = 2.49800771117999513e-15
relative error = 2.5120590045553826026062500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.604
x[1] = 0.076
y[1] (analytic) = 0.99425717058271424253511716326498
y[1] (numeric) = 0.99425717058271171483950555838712
absolute error = 2.52769561160487786e-15
relative error = 2.5422955814575076345193600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.604
x[1] = 0.077
y[1] (analytic) = 0.99410594584707270592656141735649
y[1] (numeric) = 0.99410594584707014867913162533
absolute error = 2.55724742979202649e-15
relative error = 2.5724093498032634150592100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.605
x[1] = 0.078
y[1] (analytic) = 0.99395279121822829902870933242155
y[1] (numeric) = 0.99395279121822571236702308608997
absolute error = 2.58666168624633158e-15
relative error = 2.6023989359454542613327200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.014
Order of pole = 3.606
x[1] = 0.079
y[1] (analytic) = 0.9937977085012437378321893065379
y[1] (numeric) = 0.99379770850124112189527596506035
absolute error = 2.61593691334147755e-15
relative error = 2.6322629756176417113895500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.606
x[1] = 0.08
y[1] (analytic) = 0.99364069952305246422893481717011
y[1] (numeric) = 0.9936406995230498191572793842279
absolute error = 2.64507165543294221e-15
relative error = 2.6620001140277130401440000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.607
x[1] = 0.081
y[1] (analytic) = 0.9934817661324052888995301824728
y[1] (numeric) = 0.99348176613240261483506121297733
absolute error = 2.67406446896949547e-15
relative error = 2.6916090059504043297786700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.607
x[1] = 0.082
y[1] (analytic) = 0.99332091019981643429579507392294
y[1] (numeric) = 0.99332091019981373138187247073753
absolute error = 2.70291392260318541e-15
relative error = 2.7210883158187692286968400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.608
x[1] = 0.083
y[1] (analytic) = 0.99315813361750898063242323632496
y[1] (numeric) = 0.99315813361750624901382593852464
absolute error = 2.73161859729780032e-15
relative error = 2.7504367178145848664044800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.609
x[1] = 0.084
y[1] (analytic) = 0.99299343829935971783098457285394
y[1] (numeric) = 0.99299343829935695765389813705882
absolute error = 2.76017708643579512e-15
relative error = 2.7796528959576860903667200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.609
x[1] = 0.085
y[1] (analytic) = 0.99282682618084340638884062647373
y[1] (numeric) = 0.99282682618084061780084470280227
absolute error = 2.78858799592367146e-15
relative error = 2.8087355441942199862985000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.61
x[1] = 0.086
y[1] (analytic) = 0.9926582992189764501745093290027
y[1] (numeric) = 0.9926582992189736333245650332023
absolute error = 2.81684994429580040e-15
relative error = 2.8376833664838121397584000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.611
x[1] = 0.087
y[1] (analytic) = 0.99248785939225998417974352128738
y[1] (numeric) = 0.99248785939225713921818070460996
absolute error = 2.84496156281667742e-15
relative error = 2.8664950768856368513919800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.611
x[1] = 0.088
y[1] (analytic) = 0.99231550870062238028705703035692
y[1] (numeric) = 0.99231550870061950736556144875758
absolute error = 2.87292149558159934e-15
relative error = 2.8951693996433832452889600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.015
Order of pole = 3.612
x[1] = 0.089
y[1] (analytic) = 0.99214124916536117413963991225503
y[1] (numeric) = 0.99214124916535827341124029650178
absolute error = 2.90072839961575325e-15
relative error = 2.9237050692691096314932500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.613
x[1] = 0.09
y[1] (analytic) = 0.99196508282908441622854875508382
y[1] (numeric) = 0.99196508282908148784760378337608
absolute error = 2.92838094497170774e-15
relative error = 2.9521008306259785726940000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.614
x[1] = 0.091
y[1] (analytic) = 0.9917870117556514503397366408769
y[1] (numeric) = 0.99178701175564849446192181557995
absolute error = 2.95587781482529695e-15
relative error = 2.9803554390098652340429500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.615
x[1] = 0.092
y[1] (analytic) = 0.99160703803011312253089847530502
y[1] (numeric) = 0.99160703803011013931319290541676
absolute error = 2.98321770556988826e-15
relative error = 3.0084676602298317942326400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.615
x[1] = 0.093
y[1] (analytic) = 0.99142516375865142383524893198724
y[1] (numeric) = 0.99142516375864841343592202296244
absolute error = 3.01039932690902480e-15
relative error = 3.0364362706874609554952000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.616
x[1] = 0.094
y[1] (analytic) = 0.99124139106851856991622027762689
y[1] (numeric) = 0.99124139106851553249481833019283
absolute error = 3.03742140194743406e-15
relative error = 3.0642600574550415873541600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.6MB, time=53.69
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.617
x[1] = 0.095
y[1] (analytic) = 0.99105572210797552092366393300463
y[1] (numeric) = 0.99105572210797245664099665261039
absolute error = 3.06428266728039424e-15
relative error = 3.0919378183525997980160000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.618
x[1] = 0.096
y[1] (analytic) = 0.99086815904622994482846090430592
y[1] (numeric) = 0.99086815904622685384658782285556
absolute error = 3.09098187308145036e-15
relative error = 3.1194683620237690065177600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.016
Order of pole = 3.618
x[1] = 0.097
y[1] (analytic) = 0.99067870407337362753849034435001
y[1] (numeric) = 0.99067870407337051002070715587785
absolute error = 3.11751778318847216e-15
relative error = 3.1468505080104924945534400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.619
x[1] = 0.098
y[1] (analytic) = 0.990487359400319333124670662953
y[1] (numeric) = 0.99048735940031618923549547490655
absolute error = 3.14388917518804645e-15
relative error = 3.1740830868265524481058000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.62
x[1] = 0.099
y[1] (analytic) = 0.99029412725873711751127202290352
y[1] (numeric) = 0.99029412725873394741643152470709
absolute error = 3.17009484049819643e-15
relative error = 3.2011649400299192532104300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.621
x[1] = 0.1
y[1] (analytic) = 0.99009900990099009900990099009901
y[1] (numeric) = 0.99009900990098690287631654067782
absolute error = 3.19613358444942119e-15
relative error = 3.2280949202939154019000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.622
x[1] = 0.101
y[1] (analytic) = 0.98990200960006968910147584490611
y[1] (numeric) = 0.98990200960006646709724948085757
absolute error = 3.22200422636404854e-15
relative error = 3.2548718914771881991565400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.622
x[1] = 0.102
y[1] (analytic) = 0.98970312864953028689514293292584
y[1] (numeric) = 0.98970312864952703918954329903097
absolute error = 3.24770559963389487e-15
relative error = 3.2814947286924859122274800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.623
x[1] = 0.103
y[1] (analytic) = 0.98950236936342344071742879788326
y[1] (numeric) = 0.9895023693634201674808770016575
absolute error = 3.27323655179622576e-15
relative error = 3.3079623183742319190878400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.624
x[1] = 0.104
y[1] (analytic) = 0.98929973407623148030897809294669
y[1] (numeric) = 0.98929973407622818171303348493516
absolute error = 3.29859594460801153e-15
relative error = 3.3342735583448917827084800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.017
Order of pole = 3.624
x[1] = 0.105
y[1] (analytic) = 0.98909522514280062312999183996439
y[1] (numeric) = 0.98909522514279729934733772149221
absolute error = 3.32378265411847218e-15
relative error = 3.3604273578801283357845000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.625
x[1] = 0.106
y[1] (analytic) = 0.98888884493827355829895296449098
y[1] (numeric) = 0.98888884493827020950338222458469
absolute error = 3.34879557073990629e-15
relative error = 3.3864226377727398770744400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.626
x[1] = 0.107
y[1] (analytic) = 0.98868059585802151171240467883205
y[1] (numeric) = 0.98868059585801813807880536203315
absolute error = 3.37363359931679890e-15
relative error = 3.4122583303953769306061000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.626
x[1] = 0.108
y[1] (analytic) = 0.98847048031757579591643075171203
y[1] (numeric) = 0.98847048031757239762077155850835
absolute error = 3.39829565919320368e-15
relative error = 3.4379333797620332077235200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.627
x[1] = 0.109
y[1] (analytic) = 0.98825850075255884832307356299802
y[1] (numeric) = 0.98825850075255542554238928460326
absolute error = 3.42278068427839476e-15
relative error = 3.4634467415883063681435600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.628
x[1] = 0.11
y[1] (analytic) = 0.98804465961861476138721470210454
y[1] (numeric) = 0.98804465961861131429959159132041
absolute error = 3.44708762311078413e-15
relative error = 3.4887973833504246179730000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.628
x[1] = 0.111
y[1] (analytic) = 0.9878289593913393083814323717477
y[1] (numeric) = 0.98782895939133583716599345164707
absolute error = 3.47121543892010063e-15
relative error = 3.5139842843430351898622300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.629
x[1] = 0.112
y[1] (analytic) = 0.98761140256620946842803868276342
y[1] (numeric) = 0.98761140256620597326492899493647
absolute error = 3.49516310968782695e-15
relative error = 3.5390064357357510512608000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.018
Order of pole = 3.629
x[1] = 0.113
y[1] (analytic) = 0.98739199165851245446888678464684
y[1] (numeric) = 0.98739199165850893553925857875569
absolute error = 3.51892962820589115e-15
relative error = 3.5638628406284521740943500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.63
x[1] = 0.114
y[1] (analytic) = 0.98717072920327424787462142002535
y[1] (numeric) = 0.98717072920327070536061928641554
absolute error = 3.54251400213360981e-15
relative error = 3.5885525141053382030907600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.63
x[1] = 0.115
y[1] (analytic) = 0.9869476177551876434158257050507
y[1] (numeric) = 0.98694761775518407750057165217102
absolute error = 3.56591525405287968e-15
relative error = 3.6130744832877290137680000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.631
x[1] = 0.116
y[1] (analytic) = 0.98672265988853980833899054325003
y[1] (numeric) = 0.98672265988853621920656902163431
absolute error = 3.58913242152161572e-15
relative error = 3.6374277873856105811283200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.631
x[1] = 0.117
y[1] (analytic) = 0.98649585819713935931039993528587
y[1] (numeric) = 0.98649585819713574714584280985302
absolute error = 3.61216455712543285e-15
relative error = 3.6616114777479229002836500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.6MB, time=54.29
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.631
x[1] = 0.118
y[1] (analytic) = 0.98626721529424296101088444498799
y[1] (numeric) = 0.98626721529423932600015591741823
absolute error = 3.63501072852756976e-15
relative error = 3.6856246179115876413382400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.632
x[1] = 0.119
y[1] (analytic) = 0.98603673381248145018394515269272
y[1] (numeric) = 0.98603673381247779251392663563989
absolute error = 3.65767001851705283e-15
relative error = 3.7094662836492728151256300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.632
x[1] = 0.12
y[1] (analytic) = 0.9858044164037854889589905362776
y[1] (numeric) = 0.98580441640378180881746548117866
absolute error = 3.68014152505509894e-15
relative error = 3.7331355630158923647360000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.019
Order of pole = 3.632
x[1] = 0.121
y[1] (analytic) = 0.98557026573931075129035787041919
y[1] (numeric) = 0.98557026573930704886599655066333
absolute error = 3.70242436131975586e-15
relative error = 3.7566315563938384055462600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.632
x[1] = 0.122
y[1] (analytic) = 0.98533428450936264637140796386582
y[1] (numeric) = 0.98533428450935892185375221508644
absolute error = 3.72451765574877938e-15
relative error = 3.7799533765369442122919200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.123
y[1] (analytic) = 0.98509647542332058290128643748726
y[1] (numeric) = 0.98509647542331683648073435674061
absolute error = 3.74642055208074665e-15
relative error = 3.8031001486131762660678500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.124
y[1] (analytic) = 0.98485684120956177809993539339122
y[1] (numeric) = 0.98485684120955800996772599898594
absolute error = 3.76813220939440528e-15
relative error = 3.8260710102460536555852800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.125
y[1] (analytic) = 0.98461538461538461538461538461538
y[1] (numeric) = 0.98461538461538082573281323835715
absolute error = 3.78965180214625823e-15
relative error = 3.8488651115547935148437500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.126
y[1] (analytic) = 0.98437210840693155463855824923514
y[1] (numeric) = 0.98437210840692774366003804285046
absolute error = 3.81097852020638468e-15
relative error = 3.8714816151931812431796800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.127
y[1] (analytic) = 0.98412701536911159901941584188622
y[1] (numeric) = 0.98412701536910776690784694938895
absolute error = 3.83211156889249727e-15
relative error = 3.8939196963871643584678300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.128
y[1] (analytic) = 0.98388010830552232227189723569045
y[1] (numeric) = 0.98388010830551846922172823345385
absolute error = 3.85305016900223660e-15
relative error = 3.9161785429711692444544000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.02
Order of pole = 3.633
x[1] = 0.129
y[1] (analytic) = 0.9836313900383714605253968706751
y[1] (numeric) = 0.98363139003836758673184002697115
absolute error = 3.87379355684370395e-15
relative error = 3.9382573554231400274319500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.633
x[1] = 0.13
y[1] (analytic) = 0.98338086340839807257350771953978
y[1] (numeric) = 0.98338086340839417823252345530636
absolute error = 3.89434098426423342e-15
relative error = 3.9601553468982989647980000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = 0.131
y[1] (analytic) = 0.98312853127479327264808619284459
y[1] (numeric) = 0.9831285312747893579563675154394
absolute error = 3.91469171867740519e-15
relative error = 3.9818717432616281404655900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = 0.132
y[1] (analytic) = 0.98287439651512053971598861438299
y[1] (numeric) = 0.9828743965151166048709455260814
absolute error = 3.93484504308830159e-15
relative error = 4.0034057831190721569041600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = 0.133
y[1] (analytic) = 0.98261846202523560734173210086775
y[1] (numeric) = 0.98261846202523165254147598385966
absolute error = 3.95480025611700809e-15
relative error = 4.0247567178474618461040100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.632
x[1] = 0.134
y[1] (analytic) = 0.98236073071920593817414505145606
y[1] (numeric) = 0.98236073071920196361747303109445
absolute error = 3.97455667202036161e-15
relative error = 4.0459238116231592230691600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.631
x[1] = 0.135
y[1] (analytic) = 0.98210120552922978712956370153944
y[1] (numeric) = 0.98210120552922579301594298959079
absolute error = 3.99411362071194865e-15
relative error = 4.0669063414494239141462500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.631
x[1] = 0.136
y[1] (analytic) = 0.98183988940555485735830086716099
y[1] (numeric) = 0.98183988940555084388785308680479
absolute error = 4.01347044778035620e-15
relative error = 4.0877035971825016682752000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.021
Order of pole = 3.631
x[1] = 0.137
y[1] (analytic) = 0.98157678531639655309496068294186
y[1] (numeric) = 0.98157678531639252046844617726345
absolute error = 4.03262651450567841e-15
relative error = 4.1083148815564354880772900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.63
x[1] = 0.138
y[1] (analytic) = 0.98131189624785583350669843500379
y[1] (numeric) = 0.98131189624785178192550056072119
absolute error = 4.05158119787428260e-15
relative error = 4.1287395102066004378344000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.63
x[1] = 0.139
y[1] (analytic) = 0.98104522520383667166672716445555
y[1] (numeric) = 0.98104522520383260133283657261761
absolute error = 4.07033389059183794e-15
relative error = 4.1489768116919628408387400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.629
x[1] = 0.14
y[1] (analytic) = 0.98077677520596312279325225578658
y[1] (numeric) = 0.98077677520595903390925116117551
absolute error = 4.08888400109461107e-15
relative error = 4.1690261275160654469720000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.6MB, time=54.87
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.629
x[1] = 0.141
y[1] (analytic) = 0.98050654929349600590657145294402
y[1] (numeric) = 0.98050654929349189867561789391164
absolute error = 4.10723095355903238e-15
relative error = 4.1888868121467395027467800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.628
x[1] = 0.142
y[1] (analytic) = 0.9802345505232492030693104245984
y[1] (numeric) = 0.98023455052324507769512251506078
absolute error = 4.12537418790953762e-15
relative error = 4.2085582330345455365696800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.628
x[1] = 0.143
y[1] (analytic) = 0.97996078196950558038667292534953
y[1] (numeric) = 0.97996078196950143707351310066015
absolute error = 4.14331315982468938e-15
relative error = 4.2280397706299444531316200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.627
x[1] = 0.144
y[1] (analytic) = 0.97968524672393253495516960310991
y[1] (numeric) = 0.97968524672392837390782886152664
absolute error = 4.16104734074158327e-15
relative error = 4.2473308183992007406867200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.022
Order of pole = 3.626
x[1] = 0.145
y[1] (analytic) = 0.97940794789549717195955045175192
y[1] (numeric) = 0.9794079478954929933833325932079
absolute error = 4.17857621785854402e-15
relative error = 4.2664307828390199080205000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.626
x[1] = 0.146
y[1] (analytic) = 0.97912888861038111612860270474564
y[1] (numeric) = 0.97912888861037692022930856862896
absolute error = 4.19589929413611668e-15
relative error = 4.2853390834899221431508800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.625
x[1] = 0.147
y[1] (analytic) = 0.97884807201189496177108854757544
y[1] (numeric) = 0.9788480720118907487550002512166
absolute error = 4.21301608829635884e-15
relative error = 4.3040551529483548581735600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.624
x[1] = 0.148
y[1] (analytic) = 0.97856550126039236562338536692292
y[1] (numeric) = 0.97856550126038813569725054648357
absolute error = 4.22992613482043935e-15
relative error = 4.3225784368775462535224000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.624
x[1] = 0.149
y[1] (analytic) = 0.97828117953318378675035536063847
y[1] (numeric) = 0.97828117953317954012137141608862
absolute error = 4.24662898394454985e-15
relative error = 4.3409083940171028012198500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.623
x[1] = 0.15
y[1] (analytic) = 0.97799511002444987775061124694377
y[1] (numeric) = 0.97799511002444561462640959280841
absolute error = 4.26312420165413536e-15
relative error = 4.3590444961913534056000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.622
x[1] = 0.151
y[1] (analytic) = 0.97770729594515453152666061139948
y[1] (numeric) = 0.97770729594515025211529093494898
absolute error = 4.27941136967645050e-15
relative error = 4.3769862283164432478505000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.621
x[1] = 0.152
y[1] (analytic) = 0.97741774052295758788940322782435
y[1] (numeric) = 0.97741774052295329239931775637627
absolute error = 4.29549008547144808e-15
relative error = 4.3947330884061804164403200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.023
Order of pole = 3.621
x[1] = 0.153
y[1] (analytic) = 0.97712644700212720427512363092371
y[1] (numeric) = 0.97712644700212289291516140991669
absolute error = 4.31135996222100702e-15
relative error = 4.4122845875766385733311800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.62
x[1] = 0.154
y[1] (analytic) = 0.97683341864345189486146548456799
y[1] (numeric) = 0.97683341864344756784083666806098
absolute error = 4.32702062881650701e-15
relative error = 4.4296402500495192902491600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.619
x[1] = 0.155
y[1] (analytic) = 0.97653865872415224237689509533459
y[1] (numeric) = 0.97653865872414789990516525057747
absolute error = 4.34247172984475712e-15
relative error = 4.4467996131542774098080000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.618
x[1] = 0.156
y[1] (analytic) = 0.9762421705377922869058590150107
y[1] (numeric) = 0.97624217053778792919293344272443
absolute error = 4.35771292557228627e-15
relative error = 4.4637622273290134286667200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.618
x[1] = 0.157
y[1] (analytic) = 0.97594395739419059599921534105826
y[1] (numeric) = 0.97594395739418622325532341305496
absolute error = 4.37274389192800330e-15
relative error = 4.4805276561201366533417000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.617
x[1] = 0.158
y[1] (analytic) = 0.97564402261933102040657037710593
y[1] (numeric) = 0.97564402261932663284224989287115
absolute error = 4.38756432048423478e-15
relative error = 4.4970954761808032170479200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.616
x[1] = 0.159
y[1] (analytic) = 0.97534236955527313975388210646642
y[1] (numeric) = 0.97534236955526873757996367031742
absolute error = 4.40217391843614900e-15
relative error = 4.5134652772681332828690000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.615
x[1] = 0.16
y[1] (analytic) = 0.97503900156006240249609984399376
y[1] (numeric) = 0.97503900156005798592369126441924
absolute error = 4.41657240857957452e-15
relative error = 4.5296366622392116277120000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.024
Order of pole = 3.614
x[1] = 0.161
y[1] (analytic) = 0.9747339220076399644806958820416
y[1] (numeric) = 0.97473392200763553372116659481948
absolute error = 4.43075952928722212e-15
relative error = 4.5456092470458762045725200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.614
x[1] = 0.162
y[1] (analytic) = 0.97442713428775223046371038466486
y[1] (numeric) = 0.97442713428774778572867590134574
absolute error = 4.44473503448331912e-15
relative error = 4.5613826607282993469852800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.613
x[1] = 0.163
y[1] (analytic) = 0.97411864180586010292537569320718
y[1] (numeric) = 0.97411864180585564442668207654197
absolute error = 4.45849869361666521e-15
relative error = 4.5769565454073663879644900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=358.5MB, alloc=4.6MB, time=55.46
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.612
x[1] = 0.164
y[1] (analytic) = 0.97380844798304794253751110141631
y[1] (numeric) = 0.97380844798304347048721946929717
absolute error = 4.47205029163211914e-15
relative error = 4.5923305562758566163894400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.611
x[1] = 0.165
y[1] (analytic) = 0.97349655625593224463968458711577
y[1] (numeric) = 0.97349655625592775925005564658991
absolute error = 4.48538962894052586e-15
relative error = 4.6075043615884316765385000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.611
x[1] = 0.166
y[1] (analytic) = 0.97318297007657003608562453043922
y[1] (numeric) = 0.97318297007656553756910314334531
absolute error = 4.49851652138709391e-15
relative error = 4.6224776426504366697839600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.61
x[1] = 0.167
y[1] (analytic) = 0.97286769291236699682553271802695
y[1] (numeric) = 0.97286769291236248539473249979407
absolute error = 4.51143080021823288e-15
relative error = 4.6372500938055191767903200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.025
Order of pole = 3.609
x[1] = 0.168
y[1] (analytic) = 0.97255072824598531059380057263787
y[1] (numeric) = 0.97255072824598078646148852577658
absolute error = 4.52413231204686129e-15
relative error = 4.6518214224220719030489600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.608
x[1] = 0.169
y[1] (analytic) = 0.97223207957525124907516423430404
y[1] (numeric) = 0.97223207957524671245424541810893
absolute error = 4.53662091881619511e-15
relative error = 4.6661913488785044585367100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.608
x[1] = 0.17
y[1] (analytic) = 0.97191175041306249392555155991836
y[1] (numeric) = 0.97191175041305794502905379789093
absolute error = 4.54889649776202743e-15
relative error = 4.6803596065473500227270000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.607
x[1] = 0.171
y[1] (analytic) = 0.97158974428729520102677604176281
y[1] (numeric) = 0.97158974428729064006783466825275
absolute error = 4.56095894137351006e-15
relative error = 4.6943259417782128676644600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.606
x[1] = 0.172
y[1] (analytic) = 0.97126606474071081135681984180018
y[1] (numeric) = 0.97126606474070623854866248935224
absolute error = 4.57280815735244794e-15
relative error = 4.7080901138795627598569600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.606
x[1] = 0.173
y[1] (analytic) = 0.97094071533086261285972139827114
y[1] (numeric) = 0.97094071533085802841565282715378
absolute error = 4.58444406857111736e-15
relative error = 4.7216518950993823314674400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.026
Order of pole = 3.605
x[1] = 0.174
y[1] (analytic) = 0.97061369963000205770104321560436
y[1] (numeric) = 0.97061369962999746183443018698497
absolute error = 4.59586661302861939e-15
relative error = 4.7350110706046738706516400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.605
x[1] = 0.175
y[1] (analytic) = 0.97028502122498483929654335961189
y[1] (numeric) = 0.97028502122498023222079955383212
absolute error = 4.60707574380577977e-15
relative error = 4.7481674384598317754562500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.604
x[1] = 0.176
y[1] (analytic) = 0.96995468371717673350301073933826
y[1] (numeric) = 0.96995468371717211543158172073133
absolute error = 4.61807142901860693e-15
relative error = 4.7611208096038872982636800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.604
x[1] = 0.177
y[1] (analytic) = 0.96962269072235920836125038663705
y[1] (numeric) = 0.96962269072235457950759861631706
absolute error = 4.62885365177031999e-15
relative error = 4.7738710078266323449667100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.603
x[1] = 0.178
y[1] (analytic) = 0.96928904587063480678192159614766
y[1] (numeric) = 0.9692890458706301673595114941892
absolute error = 4.63942241010195846e-15
relative error = 4.7864178697436289118466400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.603
x[1] = 0.179
y[1] (analytic) = 0.96895375280633230656533994288987
y[1] (numeric) = 0.96895375280632765678762300130397
absolute error = 4.64977771694158590e-15
relative error = 4.7987612447701112538219000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.602
x[1] = 0.18
y[1] (analytic) = 0.96861681518791166214645486245641
y[1] (numeric) = 0.96861681518790700222685481035669
absolute error = 4.65991960005209972e-15
relative error = 4.8109009950937877509280000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.027
Order of pole = 3.602
x[1] = 0.181
y[1] (analytic) = 0.96827823668786873245600869901168
y[1] (numeric) = 0.96827823668786406260790672135213
absolute error = 4.66984810197765955e-15
relative error = 4.8228369956465496545175500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.602
x[1] = 0.182
y[1] (analytic) = 0.96793802099263979928837196696621
y[1] (numeric) = 0.96793802099263511972509197821959
absolute error = 4.67956327998874662e-15
relative error = 4.8345691340750938630408800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = 0.183
y[1] (analytic) = 0.96759617180250588056573412972949
y[1] (numeric) = 0.96759617180250119150052810386242
absolute error = 4.68906520602586707e-15
relative error = 4.8460973107104673323072300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = 0.184
y[1] (analytic) = 0.9672526928314968428872105979943
y[1] (numeric) = 0.96725269283149214453324395608252
absolute error = 4.69835396664191178e-15
relative error = 4.8574214385365403452236800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = 0.185
y[1] (analytic) = 0.96690758780729531775000604317242
y[1] (numeric) = 0.96690758780729061032034309998643
absolute error = 4.70742966294318599e-15
relative error = 4.8685414431574165305077500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.028
Order of pole = 3.601
x[1] = 0.186
y[1] (analytic) = 0.96656086047114042582805268916563
y[1] (numeric) = 0.96656086047113570953564216004405
absolute error = 4.71629241052912158e-15
relative error = 4.8794572627637870701816800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=362.4MB, alloc=4.6MB, time=56.07
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = 0.187
y[1] (analytic) = 0.96621251457773131369152119532083
y[1] (numeric) = 0.96621251457772658874918176463535
absolute error = 4.72494233943068548e-15
relative error = 4.8901688480982371205501200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = 0.188
y[1] (analytic) = 0.96586255389513050734828231003415
y[1] (numeric) = 0.96586255389512577396868826253662
absolute error = 4.73337959404749753e-15
relative error = 4.9006761624195122827003200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = 0.189
y[1] (analytic) = 0.96551098220466708698578091976507
y[1] (numeric) = 0.96551098220466234538144783609368
absolute error = 4.74160433308367139e-15
relative error = 4.9109791814657532157221900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = 0.19
y[1] (analytic) = 0.96515780330083968728887173052794
y[1] (numeric) = 0.96515780330083493767214224813591
absolute error = 4.74961672948239203e-15
relative error = 4.9210778934167063822830000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = 0.191
y[1] (analytic) = 0.96480302099121932770595891289855
y[1] (numeric) = 0.96480302099121457028898855365474
absolute error = 4.75741697035924381e-15
relative error = 4.9309722988549193834326100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.029
Order of pole = 3.6
x[1] = 0.192
y[1] (analytic) = 0.96444663909635207703228195790383
y[1] (numeric) = 0.96444663909634731202702502360094
absolute error = 4.76500525693430289e-15
relative error = 4.9406624107259290317369600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.6
x[1] = 0.193
y[1] (analytic) = 0.96408866144966155667539809631053
y[1] (numeric) = 0.96408866144965678429359363330239
absolute error = 4.77238180446300814e-15
relative error = 4.9501482542974507302068600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.6
x[1] = 0.194
y[1] (analytic) = 0.96372909189735128696382931972291
y[1] (numeric) = 0.96372909189734650741698715389837
absolute error = 4.77954684216582454e-15
relative error = 4.9594298671175775123874400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.6
x[1] = 0.195
y[1] (analytic) = 0.9633679342983068808554707256569
y[1] (numeric) = 0.96336793429830209435485756894333
absolute error = 4.78650061315671357e-15
relative error = 4.9685072989719976034992500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.601
x[1] = 0.196
y[1] (analytic) = 0.96300519252399808939769803238779
y[1] (numeric) = 0.96300519252399329615432366196305
absolute error = 4.79324337437042474e-15
relative error = 4.9773806118402389768118400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.03
Order of pole = 3.601
x[1] = 0.197
y[1] (analytic) = 0.96264087045838070328616713948377
y[1] (numeric) = 0.96264087045837590351077065086083
absolute error = 4.79977539648862294e-15
relative error = 4.9860498798509499076784600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.601
x[1] = 0.198
y[1] (analytic) = 0.96227497199779831486406903745559
y[1] (numeric) = 0.96227497199779350876710517258956
absolute error = 4.80609696386486603e-15
relative error = 4.9945151892362242378401200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.601
x[1] = 0.199
y[1] (analytic) = 0.96190750105088394489809070980116
y[1] (numeric) = 0.96190750105087913268971626135365
absolute error = 4.81220837444844751e-15
relative error = 5.0027766382849804798435100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.602
x[1] = 0.2
y[1] (analytic) = 0.96153846153846153846153846153846
y[1] (numeric) = 0.96153846153845672035159875441946
absolute error = 4.81810993970711900e-15
relative error = 5.0108343372954037600000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.602
x[1] = 0.201
y[1] (analytic) = 0.96116785739344733424900591214349
y[1] (numeric) = 0.9611678573934425104470213634361
absolute error = 4.82380198454870739e-15
relative error = 5.0186884085264597172633900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.031
Order of pole = 3.602
x[1] = 0.202
y[1] (analytic) = 0.96079569256075111164061629278904
y[1] (numeric) = 0.96079569256074628235576905114735
absolute error = 4.82928484724164169e-15
relative error = 5.0263389861484896375187600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.603
x[1] = 0.203
y[1] (analytic) = 0.96042197099717731982723929585703
y[1] (numeric) = 0.96042197099717248526835996145239
absolute error = 4.83455887933440464e-15
relative error = 5.0337862161928961208097600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.603
x[1] = 0.204
y[1] (analytic) = 0.96004669667132609330117816930616
y[1] (numeric) = 0.96004669667132125367673259538197
absolute error = 4.83962444557392419e-15
relative error = 5.0410302565009286190910400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.604
x[1] = 0.205
y[1] (analytic) = 0.95966987356349415800964468222931
y[1] (numeric) = 0.95966987356348931352772085930916
absolute error = 4.84448192382292015e-15
relative error = 5.0480712766715783693037500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.032
Order of pole = 3.604
x[1] = 0.206
y[1] (analytic) = 0.95929150566557563246088968531401
y[1] (numeric) = 0.95929150566557078332918470909269
absolute error = 4.84913170497622132e-15
relative error = 5.0549094580085922479355200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.605
x[1] = 0.207
y[1] (analytic) = 0.95891159698096272806513694695972
y[1] (numeric) = 0.95891159698095787449094407089135
absolute error = 4.85357419287606837e-15
relative error = 5.0615449934666150235861300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.605
x[1] = 0.208
y[1] (analytic) = 0.95853015152444635298447947978652
y[1] (numeric) = 0.95853015152444149517467525336835
absolute error = 4.85780980422641817e-15
relative error = 5.0679780875964699257068800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.606
x[1] = 0.209
y[1] (analytic) = 0.95814717332211662375764242139121
y[1] (numeric) = 0.95814717332211176191867391512635
absolute error = 4.86183896850626486e-15
relative error = 5.0742089564895870153496600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.607
memory used=366.2MB, alloc=4.6MB, time=56.67
x[1] = 0.21
y[1] (analytic) = 0.95776266641126328895699645627813
y[1] (numeric) = 0.95776266641125842329486857428463
absolute error = 4.86566212788199350e-15
relative error = 5.0802378277215894133500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.033
Order of pole = 3.607
x[1] = 0.211
y[1] (analytic) = 0.95737663484027606912642254200729
y[1] (numeric) = 0.95737663484027119984668542322557
absolute error = 4.86927973711878172e-15
relative error = 5.0860649402950470009561200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.608
x[1] = 0.212
y[1] (analytic) = 0.95698908266854491723958413082424
y[1] (numeric) = 0.95698908266854004454732063975892
absolute error = 4.87269226349106532e-15
relative error = 5.0916905445814077597420800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.609
x[1] = 0.213
y[1] (analytic) = 0.95660001396636020390885897706934
y[1] (numeric) = 0.95660001396635532800867228498589
absolute error = 4.87590018669208345e-15
relative error = 5.0971149022621165840430500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.609
x[1] = 0.214
y[1] (analytic) = 0.95620943281481283156562082853635
y[1] (numeric) = 0.95620943281480795266162208601697
absolute error = 4.87890399874251938e-15
relative error = 5.1023382862689317975264800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.034
Order of pole = 3.61
x[1] = 0.215
y[1] (analytic) = 0.95581734330569428182274367368396
y[1] (numeric) = 0.95581734330568940011853977543145
absolute error = 4.88170420389825251e-15
relative error = 5.1073609807234492322747500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.611
x[1] = 0.216
y[1] (analytic) = 0.95542374954139660022012963189434
y[1] (numeric) = 0.9554237495413917159188110746565
absolute error = 4.88430131855723784e-15
relative error = 5.1121832808758443286630400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.612
x[1] = 0.217
y[1] (analytic) = 0.95502865563481232254373792485644
y[1] (numeric) = 0.95502865563480743584786675932778
absolute error = 4.88669587116552866e-15
relative error = 5.1168054930428422390707400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.612
x[1] = 0.218
y[1] (analytic) = 0.95463206570923434689801856568441
y[1] (numeric) = 0.95463206570922945800961644322578
absolute error = 4.88888840212245863e-15
relative error = 5.1212279345449263539321200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.035
Order of pole = 3.613
x[1] = 0.219
y[1] (analytic) = 0.95423398389825575570083237830415
y[1] (numeric) = 0.95423398389825086482136869330484
absolute error = 4.89087946368499931e-15
relative error = 5.1254509336427955619069100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.614
x[1] = 0.22
y[1] (analytic) = 0.95383441434566959175887066005341
y[1] (numeric) = 0.95383441434566469908925078874429
absolute error = 4.89266961987130912e-15
relative error = 5.1294748294730804814080000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.615
x[1] = 0.221
y[1] (analytic) = 0.95343336120536859257027518947104
y[1] (numeric) = 0.95343336120536369831082882598095
absolute error = 4.89425944636349009e-15
relative error = 5.1332999719833293094856900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.615
x[1] = 0.222
y[1] (analytic) = 0.95303082864124488698960433972118
y[1] (numeric) = 0.95303082864123999134007393015283
absolute error = 4.89564953040956835e-15
relative error = 5.1369267218662735165614000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.036
Order of pole = 3.616
x[1] = 0.223
y[1] (analytic) = 0.95262682082708965837849578319738
y[1] (numeric) = 0.95262682082708476153802505848268
absolute error = 4.89684047072471470e-15
relative error = 5.1403554504933840373163000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.617
x[1] = 0.224
y[1] (analytic) = 0.95222134194649277835334267779877
y[1] (numeric) = 0.95222134194648788052046528607728
absolute error = 4.89783287739172149e-15
relative error = 5.1435865398477285074822400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.618
x[1] = 0.225
y[1] (analytic) = 0.95181439619274241522903033908388
y[1] (numeric) = 0.95181439619273751660165857833195
absolute error = 4.89862737176075193e-15
relative error = 5.1466203824561399964562500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.618
x[1] = 0.226
y[1] (analytic) = 0.95140598776872462124527626927073
y[1] (numeric) = 0.95140598776871972202068992089248
absolute error = 4.89922458634837825e-15
relative error = 5.1494573813207080174970000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.037
Order of pole = 3.619
x[1] = 0.227
y[1] (analytic) = 0.9509961208868229026493800931786
y[1] (numeric) = 0.95099612088681800302421535725372
absolute error = 4.89962516473592488e-15
relative error = 5.1520979498496023531415200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.62
x[1] = 0.228
y[1] (analytic) = 0.95058479976881777669622351670748
y[1] (numeric) = 0.95058479976881287686646204957446
absolute error = 4.89982976146713302e-15
relative error = 5.1545425117872404629116800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.621
x[1] = 0.229
y[1] (analytic) = 0.95017202864578631961316596369773
y[1] (numeric) = 0.95017202864578141977412401853492
absolute error = 4.89983904194516281e-15
relative error = 5.1567915011438090929192100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.621
x[1] = 0.23
y[1] (analytic) = 0.94975781175800170956406116440308
y[1] (numeric) = 0.94975781175799680991037883545352
absolute error = 4.89965368232894956e-15
relative error = 5.1588453621241509917240000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.038
Order of pole = 3.622
x[1] = 0.231
y[1] (analytic) = 0.94934215335483276863297577943364
y[1] (numeric) = 0.94934215335482786935860635050346
absolute error = 4.89927436942893018e-15
relative error = 5.1607045490560273233349800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.623
x[1] = 0.232
y[1] (analytic) = 0.94892505769464350783432527632698
y[1] (numeric) = 0.94892505769463860913252467417066
absolute error = 4.89870180060215632e-15
relative error = 5.1623695263177667817676800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.624
memory used=370.0MB, alloc=4.6MB, time=57.26
x[1] = 0.233
y[1] (analytic) = 0.94850652904469267914205687434849
y[1] (numeric) = 0.9485065290446877812053732275382
absolute error = 4.89793668364681029e-15
relative error = 5.1638407682653119738338100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.624
x[1] = 0.234
y[1] (analytic) = 0.94808657168103333851620659185632
y[1] (numeric) = 0.94808657168102844153646989571592
absolute error = 4.89697973669614040e-15
relative error = 5.1651187591586742637424000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.039
Order of pole = 3.625
x[1] = 0.235
y[1] (analytic) = 0.94766518988841242389063943708688
y[1] (numeric) = 0.94766518988840752805895132525524
absolute error = 4.89583168811183164e-15
relative error = 5.1662039930878075423190000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.626
x[1] = 0.236
y[1] (analytic) = 0.94724238796017035207105075703612
y[1] (numeric) = 0.94724238796016545757777438020773
absolute error = 4.89449327637682839e-15
relative error = 5.1670969738979122240094400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.626
x[1] = 0.237
y[1] (analytic) = 0.94681817019814063847736489141416
y[1] (numeric) = 0.94681817019813574551211490378905
absolute error = 4.89296524998762511e-15
relative error = 5.1677982151141800248035900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.627
x[1] = 0.238
y[1] (analytic) = 0.94639254091254954364951677196861
y[1] (numeric) = 0.9463925409125446524011494259271
absolute error = 4.89124836734604151e-15
relative error = 5.1683082398659906852924400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.04
Order of pole = 3.627
x[1] = 0.239
y[1] (analytic) = 0.94596550442191575042024517533944
y[1] (numeric) = 0.94596550442191086107684852484113
absolute error = 4.88934339665049831e-15
relative error = 5.1686275808105714239655100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.628
x[1] = 0.24
y[1] (analytic) = 0.94553706505295007564296520423601
y[1] (numeric) = 0.94553706505294518839184941742613
absolute error = 4.88725111578680988e-15
relative error = 5.1687567800561301290880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.628
x[1] = 0.241
y[1] (analytic) = 0.94510722714045522034702447166143
y[1] (numeric) = 0.94510722714045033537471225315142
absolute error = 4.88497231221851001e-15
relative error = 5.1686963890844732898908100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.629
x[1] = 0.242
y[1] (analytic) = 0.94467599502722556217668464070193
y[1] (numeric) = 0.94467599502722067966890176397505
absolute error = 4.88250778287672688e-15
relative error = 5.1684469686731195130003200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.041
Order of pole = 3.629
x[1] = 0.243
y[1] (analytic) = 0.94424337306394699395400968227155
y[1] (numeric) = 0.9442433730639421140956756326481
absolute error = 4.87985833404962345e-15
relative error = 5.1680090888169196650990500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.63
x[1] = 0.244
y[1] (analytic) = 0.94380936560909681218948671871461
y[1] (numeric) = 0.94380936560909193516470544729518
absolute error = 4.87702478127141943e-15
relative error = 5.1673833286491946571844800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.63
x[1] = 0.245
y[1] (analytic) = 0.94337397702884365934765689488455
y[1] (numeric) = 0.94337397702883878533970768387372
absolute error = 4.87400794921101083e-15
relative error = 5.1665702763624017550707500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.631
x[1] = 0.246
y[1] (analytic) = 0.94293721169694752365829464147641
y[1] (numeric) = 0.94293721169694265284962308127316
absolute error = 4.87080867156020325e-15
relative error = 5.1655705291283405098770000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.042
Order of pole = 3.631
x[1] = 0.247
y[1] (analytic) = 0.9424990739946598002467462575718
y[1] (numeric) = 0.94249907399465493281895533599703
absolute error = 4.86742779092157477e-15
relative error = 5.1643846930179091251429300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.631
x[1] = 0.248
y[1] (analytic) = 0.94205956831062341733992523815266
y[1] (numeric) = 0.9420595683106185534737665421681
absolute error = 4.86386615869598456e-15
relative error = 5.1630133829204223943782400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.632
x[1] = 0.249
y[1] (analytic) = 0.94161869904077303128716451302777
y[1] (numeric) = 0.94161869904076817116252954328468
absolute error = 4.86012463496974309e-15
relative error = 5.1614572224625021313230900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.632
x[1] = 0.25
y[1] (analytic) = 0.94117647058823529411764705882353
y[1] (numeric) = 0.94117647058823043791355865736373
absolute error = 4.85620408840145980e-15
relative error = 5.1597168439265510375000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.043
Order of pole = 3.632
x[1] = 0.251
y[1] (analytic) = 0.94073288736322919733847851507195
y[1] (numeric) = 0.94073288736322434523308240648786
absolute error = 4.85210539610858409e-15
relative error = 5.1577928881688209962540900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = 0.252
y[1] (analytic) = 0.94028795378296649565963080533783
y[1] (numeric) = 0.94028795378296164783018725168244
absolute error = 4.84782944355365539e-15
relative error = 5.1556860045370867218865600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = 0.253
y[1] (analytic) = 0.93984167427155221431397666749059
y[1] (numeric) = 0.93984167427154737093685223721255
absolute error = 4.84337712443027804e-15
relative error = 5.1533968507879357070623600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = 0.254
y[1] (analytic) = 0.93939405325988524362245377241864
y[1] (numeric) = 0.93939405325988040487311322358189
absolute error = 4.83874934054883675e-15
relative error = 5.1509260930036855017630000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.044
Order of pole = 3.632
x[1] = 0.255
y[1] (analytic) = 0.93894509518555902443604610220417
y[1] (numeric) = 0.93894509518555419048904438023612
absolute error = 4.83394700172196805e-15
relative error = 5.1482744055089390224512500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = 0.256
y[1] (analytic) = 0.93849480449276232806775181692594
y[1] (numeric) = 0.93849480449275749909672616712239
absolute error = 4.82897102564980355e-15
relative error = 5.1454424707867890754528000000000e-13 %
Correct digits = 14
h = 0.001
memory used=373.8MB, alloc=4.6MB, time=57.86
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = 0.257
y[1] (analytic) = 0.93804318563218013430902331881555
y[1] (numeric) = 0.9380431856321753104866855138153
absolute error = 4.82382233780500025e-15
relative error = 5.1424309793946827115122500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = 0.258
y[1] (analytic) = 0.93759024306089461110631898320213
y[1] (numeric) = 0.93759024306088979260444766562858
absolute error = 4.81850187131757355e-15
relative error = 5.1392406298799565157822000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.045
Order of pole = 3.632
x[1] = 0.259
y[1] (analytic) = 0.93713598124228619945439943172074
y[1] (numeric) = 0.9371359812422813864438325721726
absolute error = 4.81301056685954814e-15
relative error = 5.1358721286950534887793400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.632
x[1] = 0.26
y[1] (analytic) = 0.93668040464593480704383664293743
y[1] (numeric) = 0.93668040464592999969446411349525
absolute error = 4.80734937252944218e-15
relative error = 5.1323261901124324713680000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.632
x[1] = 0.261
y[1] (analytic) = 0.93622351774752111418088400096993
y[1] (numeric) = 0.93622351774751631266164026436995
absolute error = 4.80151924373659998e-15
relative error = 5.1286035361391809072375800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.632
x[1] = 0.262
y[1] (analytic) = 0.93576532502872799547838194946119
y[1] (numeric) = 0.93576532502872319995723886407291
absolute error = 4.79552114308538828e-15
relative error = 5.1247048964313416730923200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.046
Order of pole = 3.631
x[1] = 0.263
y[1] (analytic) = 0.93530583097714206079674962517619
y[1] (numeric) = 0.93530583097713727144070936590496
absolute error = 4.78935604025927123e-15
relative error = 5.1206310082079647617078700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.631
x[1] = 0.264
y[1] (analytic) = 0.9348450400861553188943400741893
y[1] (numeric) = 0.9348450400861505358694281694102
absolute error = 4.78302491190477910e-15
relative error = 5.1163826161648945841536000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.631
x[1] = 0.265
y[1] (analytic) = 0.93438295685486696722651778831554
y[1] (numeric) = 0.93438295685486219069777627292996
absolute error = 4.77652874151538558e-15
relative error = 5.1119604723883035323555000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.631
x[1] = 0.266
y[1] (analytic) = 0.93391958578798531131275472656702
y[1] (numeric) = 0.9339195857879805414442354112585
absolute error = 4.76986851931530852e-15
relative error = 5.1073653362679824896411200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.047
Order of pole = 3.63
x[1] = 0.267
y[1] (analytic) = 0.93345493139572981707083709437883
y[1] (numeric) = 0.93345493139572505402559495112988
absolute error = 4.76304524214324895e-15
relative error = 5.1025979744103990243965500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.63
x[1] = 0.268
y[1] (analytic) = 0.93298899819373329949693233217394
y[1] (numeric) = 0.93298899819372854343701899609108
absolute error = 4.75605991333608286e-15
relative error = 5.0976591605515336753366400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.629
x[1] = 0.269
y[1] (analytic) = 0.93252179070294425104978640588384
y[1] (numeric) = 0.93252179070293950213624379336328
absolute error = 4.74891354261252056e-15
relative error = 5.0925496754695051602421600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.629
x[1] = 0.27
y[1] (analytic) = 0.9320533134495293130767079876969
y[1] (numeric) = 0.932053313449524571469562030949
absolute error = 4.74160714595674790e-15
relative error = 5.0872703068969948219100000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.048
Order of pole = 3.628
x[1] = 0.271
y[1] (analytic) = 0.93158357096477589359825085868716
y[1] (numeric) = 0.93158357096477115945650535662332
absolute error = 4.73414174550206384e-15
relative error = 5.0818218494334809104734400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.628
x[1] = 0.272
y[1] (analytic) = 0.93111256778499493474763124962755
y[1] (numeric) = 0.93111256778499020822926183509882
absolute error = 4.72651836941452873e-15
relative error = 5.0762051044572932235603200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.627
x[1] = 0.273
y[1] (analytic) = 0.93064030845142383313991525589351
y[1] (numeric) = 0.93064030845141911440186347925607
absolute error = 4.71873805177663744e-15
relative error = 5.0704208800374984517657600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.627
x[1] = 0.274
y[1] (analytic) = 0.93016679751012951642488531043387
y[1] (numeric) = 0.93016679751012480562305283940248
absolute error = 4.71080183247103139e-15
relative error = 5.0644699908456265426356400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.049
Order of pole = 3.626
x[1] = 0.275
y[1] (analytic) = 0.92969203951191167925624636839047
y[1] (numeric) = 0.92969203951190697654548930412676
absolute error = 4.70271075706426371e-15
relative error = 5.0583532580672486530687500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.625
x[1] = 0.276
y[1] (analytic) = 0.92921603901220618188846434040529
y[1] (numeric) = 0.92921603901220148742258764977402
absolute error = 4.69446587669063127e-15
relative error = 5.0520715093134167976235200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.625
x[1] = 0.277
y[1] (analytic) = 0.92873880057098861459104380025057
y[1] (numeric) = 0.92873880057098392852279586416317
absolute error = 4.68606824793608740e-15
relative error = 5.0456255785319754501146000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.624
x[1] = 0.278
y[1] (analytic) = 0.92826032875267803104845147611957
y[1] (numeric) = 0.92826032875267335352951875387038
absolute error = 4.67751893272224919e-15
relative error = 5.0390163059187554963999600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.05
Order of pole = 3.623
x[1] = 0.279
y[1] (analytic) = 0.92778062812604085389217890208296
y[1] (numeric) = 0.92778062812603618507318071157024
absolute error = 4.66881899819051272e-15
relative error = 5.0322445378286604206375200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.6MB, time=58.46
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.623
x[1] = 0.28
y[1] (analytic) = 0.92729970326409495548961424332344
y[1] (numeric) = 0.92729970326409029552009765703348
absolute error = 4.65996951658628996e-15
relative error = 5.0253111266866550928640000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.622
x[1] = 0.281
y[1] (analytic) = 0.92681755874401391709246210011298
y[1] (numeric) = 0.92681755874400926612089695673237
absolute error = 4.65097156514338061e-15
relative error = 5.0182169308986670863462100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.621
x[1] = 0.282
y[1] (analytic) = 0.92633419914703146942541342295308
y[1] (numeric) = 0.92633419914702682759918745446087
absolute error = 4.64182622596849221e-15
relative error = 5.0109628147624105845080400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.051
Order of pole = 3.621
x[1] = 0.283
y[1] (analytic) = 0.92584962905834611777362791399598
y[1] (numeric) = 0.92584962905834148523904198807433
absolute error = 4.63253458592592165e-15
relative error = 5.0035496483781427890268500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.62
x[1] = 0.284
y[1] (analytic) = 0.92536385306702595460535082394397
y[1] (numeric) = 0.92536385306702133150761430153273
absolute error = 4.62309773652241124e-15
relative error = 4.9959783075593628409734400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.619
x[1] = 0.285
y[1] (analytic) = 0.92487687576591366274364725195958
y[1] (numeric) = 0.92487687576590904922687345976736
absolute error = 4.61351677379219222e-15
relative error = 4.9882496737434630330695000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.618
x[1] = 0.286
y[1] (analytic) = 0.92438870175153171207880228804691
y[1] (numeric) = 0.92438870175152710828600410581839
absolute error = 4.60379279818222852e-15
relative error = 4.9803646339023420840219200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.052
Order of pole = 3.617
x[1] = 0.287
y[1] (analytic) = 0.92389933562398775279040696841835
y[1] (numeric) = 0.92389933562398315886349253074473
absolute error = 4.59392691443767362e-15
relative error = 4.9723240804529903584057800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.617
x[1] = 0.288
y[1] (analytic) = 0.92340878198688020802553040600437
y[1] (numeric) = 0.92340878198687562410529891845143
absolute error = 4.58392023148755294e-15
relative error = 4.9641289111680565310553600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.616
x[1] = 0.289
y[1] (analytic) = 0.9229170454472040689566699676333
y[1] (numeric) = 0.92291704544719949518280763694886
absolute error = 4.57377386233068444e-15
relative error = 4.9557800290864055351132400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.615
x[1] = 0.29
y[1] (analytic) = 0.92242413061525689512037634904529
y[1] (numeric) = 0.92242413061525233163145242719568
absolute error = 4.56348892392184961e-15
relative error = 4.9472783424236771622010000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.053
Order of pole = 3.614
x[1] = 0.291
y[1] (analytic) = 0.92193004210454502291457119650847
y[1] (numeric) = 0.9219300421045404698480341382812
absolute error = 4.55306653705822727e-15
relative error = 4.9386247644828550134508700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.614
x[1] = 0.292
y[1] (analytic) = 0.92143478453168998510961388196789
y[1] (numeric) = 0.92143478453168544260178761586579
absolute error = 4.54250782626610210e-15
relative error = 4.9298202135648550294544000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.613
x[1] = 0.293
y[1] (analytic) = 0.92093836251633514420513349462034
y[1] (numeric) = 0.92093836251633061239121380676017
absolute error = 4.53181391968786017e-15
relative error = 4.9208656128791432777343300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.612
x[1] = 0.294
y[1] (analytic) = 0.92044078068105254244152439720333
y[1] (numeric) = 0.92044078068104802145557542792027
absolute error = 4.52098594896928306e-15
relative error = 4.9117618904543920105741600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.054
Order of pole = 3.611
x[1] = 0.295
y[1] (analytic) = 0.91994204365124997125181113589844
y[1] (numeric) = 0.91994204365124546122676198874589
absolute error = 4.51002504914715255e-15
relative error = 4.9025099790491835006637500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.61
x[1] = 0.296
y[1] (analytic) = 0.91944215605507826291632340826174
y[1] (numeric) = 0.91944215605507376398396487108439
absolute error = 4.49893235853717735e-15
relative error = 4.8931108160627706806976000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.61
x[1] = 0.297
y[1] (analytic) = 0.91894112252333880715928649735483
y[1] (numeric) = 0.91894112252333431945026787510134
absolute error = 4.48770901862225349e-15
relative error = 4.8835653434459038480994100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.609
x[1] = 0.298
y[1] (analytic) = 0.91843894768939129540302937902506
y[1] (numeric) = 0.91843894768938681904685543795544
absolute error = 4.47635617394106962e-15
relative error = 4.8738745076117323665344800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.055
Order of pole = 3.608
x[1] = 0.299
y[1] (analytic) = 0.91793563618906169537204390302561
y[1] (numeric) = 0.91793563618905723049707192595701
absolute error = 4.46487497197706860e-15
relative error = 4.8640392593467905099086000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.608
x[1] = 0.3
y[1] (analytic) = 0.91743119266055045871559633027523
y[1] (numeric) = 0.91743119266054600544903328249891
absolute error = 4.45326656304777632e-15
relative error = 4.8540605537220761888000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.607
x[1] = 0.301
y[1] (analytic) = 0.91692562174434096429399936365362
y[1] (numeric) = 0.91692562174433652276189916914472
absolute error = 4.44153210019450890e-15
relative error = 4.8439393500042316008489000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.606
x[1] = 0.302
y[1] (analytic) = 0.91641892808310819975000091641893
y[1] (numeric) = 0.91641892808310377007726184394995
absolute error = 4.42967273907246898e-15
relative error = 4.8336766115668344408519200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.6MB, time=59.06
Complex estimate of poles used
Radius of convergence = 1.056
Order of pole = 3.606
x[1] = 0.303
y[1] (analytic) = 0.91591111632162768396303749098972
y[1] (numeric) = 0.91591111632162326627339964974783
absolute error = 4.41768963784124189e-15
relative error = 4.8232733058018084666790100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.057
Order of pole = 3.605
x[1] = 0.304
y[1] (analytic) = 0.91540219110668463296033745386373
y[1] (numeric) = 0.91540219110668022737638039816138
absolute error = 4.40558395705570235e-15
relative error = 4.8127304040309621383776000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.057
Order of pole = 3.604
x[1] = 0.305
y[1] (analytic) = 0.91489215708698337183504494407722
y[1] (numeric) = 0.91489215708697897847818538673534
absolute error = 4.39335685955734188e-15
relative error = 4.8020488814176636083870000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.057
Order of pole = 3.604
x[1] = 0.306
y[1] (analytic) = 0.91438101891305699519767088866862
y[1] (numeric) = 0.91438101891305261418816052264104
absolute error = 4.38100951036602758e-15
relative error = 4.7912297168786609384808800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.603
x[1] = 0.307
y[1] (analytic) = 0.91386878123717727866326585630876
y[1] (numeric) = 0.91386878123717291012018928410648
absolute error = 4.36854307657220228e-15
relative error = 4.7802738929960557726877200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.603
x[1] = 0.308
y[1] (analytic) = 0.91335544871326484385275248798024
y[1] (numeric) = 0.91335544871326048789402525844429
absolute error = 4.35595872722953595e-15
relative error = 4.7691823959294386483608000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.602
x[1] = 0.309
y[1] (analytic) = 0.91284102599679957936285522067475
y[1] (numeric) = 0.91284102599679523610522197263605
absolute error = 4.34325763324803870e-15
relative error = 4.7579562153281946831147000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.058
Order of pole = 3.602
x[1] = 0.31
y[1] (analytic) = 0.91232551774473132013502417662622
y[1] (numeric) = 0.91232551774472698969405688898159
absolute error = 4.33044096728764463e-15
relative error = 4.7465963442439872789430000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 3.601
x[1] = 0.311
y[1] (analytic) = 0.91180892861539078762967062726072
y[1] (numeric) = 0.91180892861538647011976697498418
absolute error = 4.31750990365227654e-15
relative error = 4.7351037790434283792253400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 3.601
x[1] = 0.312
y[1] (analytic) = 0.91129126326840079318791554881605
y[1] (numeric) = 0.91129126326839648872229736441522
absolute error = 4.30446561818440083e-15
relative error = 4.7234795193209431443955200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.059
Order of pole = 3.6
x[1] = 0.313
y[1] (analytic) = 0.91077252636458770693890264661388
y[1] (numeric) = 0.91077252636458341562961448653192
absolute error = 4.29130928816008196e-15
relative error = 4.7117245678118370295392400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.6
x[1] = 0.314
y[1] (analytic) = 0.91025272256589319458654500835612
y[1] (numeric) = 0.91025272256588891654445282381041
absolute error = 4.27804209218454571e-15
relative error = 4.6998399303055731788231600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.6
x[1] = 0.315
y[1] (analytic) = 0.90973185653528622438536241442835
y[1] (numeric) = 0.90973185653528195972015232616814
absolute error = 4.26466521008826021e-15
relative error = 4.6878266155592678293372500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.599
x[1] = 0.316
y[1] (analytic) = 0.90920993293667534659082643546064
y[1] (numeric) = 0.90920993293667109541100361191676
absolute error = 4.25117982282354388e-15
relative error = 4.6756856352114116776812800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.06
Order of pole = 3.599
x[1] = 0.317
y[1] (analytic) = 0.90868695643482124764536492413827
y[1] (numeric) = 0.90868695643481701005825256242938
absolute error = 4.23758711236170889e-15
relative error = 4.6634180036958246546472100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.061
Order of pole = 3.599
x[1] = 0.318
y[1] (analytic) = 0.90816293169524958133688848848994
y[1] (numeric) = 0.90816293169524535744862689774114
absolute error = 4.22388826159074880e-15
relative error = 4.6510247381558516816512000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.061
Order of pole = 3.599
x[1] = 0.319
y[1] (analytic) = 0.90763786338416407914239113564557
y[1] (numeric) = 0.90763786338415986905793692206654
absolute error = 4.21008445421357903e-15
relative error = 4.6385068583588070456718300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.061
Order of pole = 3.599
x[1] = 0.32
y[1] (analytic) = 0.90711175616835994194484760522496
y[1] (numeric) = 0.90711175616835574576797295838659
absolute error = 4.19617687464683837e-15
relative error = 4.6258653866106746190880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.062
Order of pole = 3.598
x[1] = 0.321
y[1] (analytic) = 0.90658461471513751528728306563401
y[1] (numeric) = 0.90658461471513333312057514537413
absolute error = 4.18216670792025988e-15
relative error = 4.6131013476710713782950800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.062
Order of pole = 3.598
x[1] = 0.322
y[1] (analytic) = 0.90605644369221625030352890863689
y[1] (numeric) = 0.90605644369221208224838933201776
absolute error = 4.16805513957661913e-15
relative error = 4.6002157686684813078749200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.062
Order of pole = 3.598
x[1] = 0.323
y[1] (analytic) = 0.90552724776764895244080341999531
y[1] (numeric) = 0.90552724776764479859744784772736
absolute error = 4.15384335557226795e-15
relative error = 4.5872096790157670929555500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = 0.324
y[1] (analytic) = 0.90499703160973632006487018722579
y[1] (numeric) = 0.90499703160973218053232800896464
absolute error = 4.13953254217826115e-15
relative error = 4.5740841103259662924824000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = 0.325
y[1] (analytic) = 0.90446579988694177501413227812323
y[1] (numeric) = 0.90446579988693764989024639603899
absolute error = 4.12512388588208424e-15
relative error = 4.5608400963283793878500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
memory used=385.2MB, alloc=4.6MB, time=59.65
x[1] = 0.326
y[1] (analytic) = 0.90393355726780658714461852196016
y[1] (numeric) = 0.90393355726780247652604523197073
absolute error = 4.11061857328998943e-15
relative error = 4.5474786727849563466626800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.063
Order of pole = 3.598
x[1] = 0.327
y[1] (analytic) = 0.90340030842086529488341167319675
y[1] (numeric) = 0.90340030842086119886562064324948
absolute error = 4.09601779102994727e-15
relative error = 4.5340008774069885016338300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.064
Order of pole = 3.599
x[1] = 0.328
y[1] (analytic) = 0.90286605801456142378365884664278
y[1] (numeric) = 0.90286605801455734246093319142143
absolute error = 4.08132272565522135e-15
relative error = 4.5204077497721126837184000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.064
Order of pole = 3.599
x[1] = 0.329
y[1] (analytic) = 0.90233081071716350504989438217861
y[1] (numeric) = 0.90233081071715943851533083360559
absolute error = 4.06653456354857302e-15
relative error = 4.5067003312416341122578200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.064
Order of pole = 3.599
x[1] = 0.33
y[1] (analytic) = 0.9017945711966813959779962124628
y[1] (numeric) = 0.90179457119667734432350538535984
absolute error = 4.05165449082710296e-15
relative error = 4.4928796648781744723440000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.065
Order of pole = 3.599
x[1] = 0.331
y[1] (analytic) = 0.90125734412078290422969084169325
y[1] (numeric) = 0.90125734412077886754599759395649
absolute error = 4.03668369324773676e-15
relative error = 4.4789467953636520471623600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.065
Order of pole = 3.599
x[1] = 0.332
y[1] (analytic) = 0.90071913415671071783712115753217
y[1] (numeric) = 0.90071913415670669621376504417146
absolute error = 4.02162335611336071e-15
relative error = 4.4649027689175997808990400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.065
Order of pole = 3.6
x[1] = 0.333
y[1] (analytic) = 0.90017994597119964280859743862798
y[1] (numeric) = 0.90017994597119563633393325901323
absolute error = 4.00647466417961475e-15
relative error = 4.4507486332158280500127500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.066
Order of pole = 3.6
x[1] = 0.334
y[1] (analytic) = 0.89963978423039415018226702028508
y[1] (numeric) = 0.89963978423039015894346545793645
absolute error = 3.99123880156234863e-15
relative error = 4.4364854373094379937682800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.066
Order of pole = 3.6
x[1] = 0.335
y[1] (analytic) = 0.89909865359976623435006406077907
y[1] (numeric) = 0.89909865359976225843311241503138
absolute error = 3.97591695164574769e-15
relative error = 4.4221142315441917245102500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.066
Order of pole = 3.601
x[1] = 0.336
y[1] (analytic) = 0.89855655874403358444993961699925
y[1] (numeric) = 0.8985565587440296239396426258649
absolute error = 3.96051029699113435e-15
relative error = 4.4076360674802454535776000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.067
Order of pole = 3.601
x[1] = 0.337
y[1] (analytic) = 0.89801350432707807060002568318622
y[1] (numeric) = 0.89801350432707412558000643673508
absolute error = 3.94502001924645114e-15
relative error = 4.3930519978122513495186600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.067
Order of pole = 3.601
x[1] = 0.338
y[1] (analytic) = 0.89746949501186454672405684930769
y[1] (numeric) = 0.89746949501186061727675779287647
absolute error = 3.92944729905643122e-15
relative error = 4.3783630762898341482976800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.067
Order of pole = 3.602
x[1] = 0.339
y[1] (analytic) = 0.89692453546035997169306166087104
y[1] (numeric) = 0.89692453546035605789974568740909
absolute error = 3.91379331597346195e-15
relative error = 4.3635703576384481707559500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.068
Order of pole = 3.602
x[1] = 0.34
y[1] (analytic) = 0.89637863033345285048404446038006
y[1] (numeric) = 0.89637863033344895242479609123295
absolute error = 3.89805924836914711e-15
relative error = 4.3486748974806205159160000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.068
Order of pole = 3.603
x[1] = 0.341
y[1] (analytic) = 0.89583178429087299703210929864434
y[1] (numeric) = 0.89583178429086911478583595207119
absolute error = 3.88224627334657315e-15
relative error = 4.3336777522575860224551500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.068
Order of pole = 3.603
x[1] = 0.342
y[1] (analytic) = 0.89528400199111162042823224383239
y[1] (numeric) = 0.89528400199110775407266559054779
absolute error = 3.86635556665328460e-15
relative error = 4.3185799791513193799544000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.069
Order of pole = 3.604
x[1] = 0.343
y[1] (analytic) = 0.89473528809134173609066889515402
y[1] (numeric) = 0.89473528809133788570236630018008
absolute error = 3.85038830259497394e-15
relative error = 4.3033826360069700290670600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.069
Order of pole = 3.605
x[1] = 0.344
y[1] (analytic) = 0.89418564724733890351379191942314
y[1] (numeric) = 0.89418564724733506916813796953238
absolute error = 3.83434565394989076e-15
relative error = 4.2880867812557050329753600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 3.605
x[1] = 0.345
y[1] (analytic) = 0.89363508411340229217399075087688
y[1] (numeric) = 0.89363508411339847394519886690185
absolute error = 3.81822879188397503e-15
relative error = 4.2726934738379651579457500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 3.606
x[1] = 0.346
y[1] (analytic) = 0.89308360334227607714813399111918
y[1] (numeric) = 0.89308360334227227510924812439994
absolute error = 3.80203888586671924e-15
relative error = 4.2572037731271394005358400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.07
Order of pole = 3.606
x[1] = 0.347
y[1] (analytic) = 0.89253120958507116597599626564942
y[1] (numeric) = 0.8925312095850673801988926778855
absolute error = 3.78577710358776392e-15
relative error = 4.2416187388536629858432800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.071
Order of pole = 3.607
x[1] = 0.348
y[1] (analytic) = 0.89197790749118725827398706988825
y[1] (numeric) = 0.89197790749118348882937619565726
absolute error = 3.76944461087423099e-15
relative error = 4.2259394310295438598129600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.071
Order of pole = 3.608
x[1] = 0.349
memory used=389.1MB, alloc=4.6MB, time=60.25
y[1] (analytic) = 0.89142370170823523958349118961384
y[1] (numeric) = 0.89142370170823148654091958081475
absolute error = 3.75304257160879909e-15
relative error = 4.2101669098733224279610900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.071
Order of pole = 3.609
x[1] = 0.35
y[1] (analytic) = 0.89086859688195991091314031180401
y[1] (numeric) = 0.89086859688195617434099266327881
absolute error = 3.73657214764852520e-15
relative error = 4.1943022357354695370000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 3.609
x[1] = 0.351
y[1] (analytic) = 0.89031259765616305541038514032662
y[1] (numeric) = 0.89031259765615933537588639591025
absolute error = 3.72003449874441637e-15
relative error = 4.1783464690242272112003700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 3.61
x[1] = 0.352
y[1] (analytic) = 0.88975570867262684357382836968282
y[1] (numeric) = 0.88975570867262314014304590792717
absolute error = 3.70343078246175565e-15
relative error = 4.1623006701318970220576000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.072
Order of pole = 3.611
x[1] = 0.353
y[1] (analytic) = 0.8891979345710375783939129066191
y[1] (numeric) = 0.88919793457103389163175880543345
absolute error = 3.68676215410118565e-15
relative error = 4.1461658993615802926608500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.073
Order of pole = 3.611
x[1] = 0.354
y[1] (analytic) = 0.88863927998890978178573840592331
y[1] (numeric) = 0.8886392799889061117559717853697
absolute error = 3.67002976662055361e-15
relative error = 4.1299432168543749061907600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.073
Order of pole = 3.612
x[1] = 0.355
y[1] (analytic) = 0.88807974956151062365400412957084
y[1] (numeric) = 0.88807974956150697041923357204958
absolute error = 3.65323477055752126e-15
relative error = 4.1136336825170328767915000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.073
Order of pole = 3.613
x[1] = 0.356
y[1] (analytic) = 0.88751934792178469490634895840729
y[1] (numeric) = 0.8875193479217810585280350054645
absolute error = 3.63637831395294279e-15
relative error = 4.0972383559500829474334400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.074
Order of pole = 3.614
x[1] = 0.357
y[1] (analytic) = 0.88695807970027912570768167784086
y[1] (numeric) = 0.88695807970027550624613940282651
absolute error = 3.61946154227501435e-15
relative error = 4.0807582963764226538931500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.074
Order of pole = 3.614
x[1] = 0.358
y[1] (analytic) = 0.88639594952506905024446800287901
y[1] (numeric) = 0.8863959495250654477588696586813
absolute error = 3.60248559834419771e-15
relative error = 4.0641945625703834653044400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.075
Order of pole = 3.615
x[1] = 0.359
y[1] (analytic) = 0.88583296202168341924436676673626
y[1] (numeric) = 0.88583296202167983379274450781474
absolute error = 3.58545162225892152e-15
relative error = 4.0475482127872735844191200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.075
Order of pole = 3.616
x[1] = 0.36
y[1] (analytic) = 0.88526912181303116147308781869688
y[1] (numeric) = 0.88526912181302759311233649663437
absolute error = 3.56836075132206251e-15
relative error = 4.0308203046934018112960000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.075
Order of pole = 3.617
x[1] = 0.361
y[1] (analytic) = 0.88470443351932769540687999249771
y[1] (numeric) = 0.88470443351932414419276002428812
absolute error = 3.55121411996820959e-15
relative error = 4.0140118952965866319783900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 3.617
x[1] = 0.362
y[1] (analytic) = 0.88413890175802179225565053172114
y[1] (numeric) = 0.88413890175801825824279084000788
absolute error = 3.53401285969171326e-15
relative error = 3.9971240408771541324434400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 3.618
x[1] = 0.363
y[1] (analytic) = 0.88357253114372279148836909298629
y[1] (numeric) = 0.88357253114371927473027011746351
absolute error = 3.51675809897552278e-15
relative error = 3.9801577969194284411978200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.076
Order of pole = 3.619
x[1] = 0.364
y[1] (analytic) = 0.88300532628812816998912137438013
y[1] (numeric) = 0.88300532628812467053815815356679
absolute error = 3.49945096322081334e-15
relative error = 3.9631142180437182242966400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.077
Order of pole = 3.62
x[1] = 0.365
y[1] (analytic) = 0.88243729179995146594895100266937
y[1] (numeric) = 0.88243729179994798385637632526396
absolute error = 3.48209257467740541e-15
relative error = 3.9459943579388027457472500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.077
Order of pole = 3.62
x[1] = 0.366
y[1] (analytic) = 0.88186843228485055857546500922434
y[1] (numeric) = 0.88186843228484709389141263424605
absolute error = 3.46468405237497829e-15
relative error = 3.9287992692949208818152400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 3.621
x[1] = 0.367
y[1] (analytic) = 0.8812987523453563046790794658272
y[1] (numeric) = 0.88129875234535285745256741074745
absolute error = 3.44722651205507975e-15
relative error = 3.9115300037372663864477500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 3.622
x[1] = 0.368
y[1] (analytic) = 0.88072825658080153317174905585931
y[1] (numeric) = 0.88072825658079810345068295192579
absolute error = 3.42972106610393352e-15
relative error = 3.8941876117599926130124800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.078
Order of pole = 3.622
x[1] = 0.369
y[1] (analytic) = 0.88015694958725039849105892562762
y[1] (numeric) = 0.88015694958724698632223543958128
absolute error = 3.41216882348604634e-15
relative error = 3.8767731426607298957007400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.079
Order of pole = 3.623
x[1] = 0.37
y[1] (analytic) = 0.87958483595742809393966048025332
y[1] (numeric) = 0.87958483595742469936877080163729
absolute error = 3.39457088967861603e-15
relative error = 3.8592876444756185645070000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.079
Order of pole = 3.624
x[1] = 0.371
y[1] (analytic) = 0.87901192028065092590720622762365
y[1] (numeric) = 0.87901192028064754897883962088167
absolute error = 3.37692836660674198e-15
relative error = 3.8417321639148605528691800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.079
Order of pole = 3.624
x[1] = 0.372
y[1] (analytic) = 0.87843820714275674991918368494287
y[1] (numeric) = 0.87843820714275339067683110550345
absolute error = 3.35924235257943942e-15
relative error = 3.8241077462987925646972800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=392.9MB, alloc=4.6MB, time=60.85
Complex estimate of poles used
Radius of convergence = 1.08
Order of pole = 3.625
x[1] = 0.373
y[1] (analytic) = 0.87786370112603576943436608145346
y[1] (numeric) = 0.87786370112603242792042385499494
absolute error = 3.34151394222645852e-15
relative error = 3.8064154354944834674290800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.08
Order of pole = 3.626
x[1] = 0.374
y[1] (analytic) = 0.87728840680916169828998943744758
y[1] (numeric) = 0.8772884068091583745457630015381
absolute error = 3.32374422643590948e-15
relative error = 3.7886562738528587544244800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.08
Order of pole = 3.626
x[1] = 0.375
y[1] (analytic) = 0.87671232876712328767123287671233
y[1] (numeric) = 0.8767123287671199817369405840179
absolute error = 3.30593429229269443e-15
relative error = 3.7708313021463545842187500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.081
Order of pole = 3.627
x[1] = 0.376
y[1] (analytic) = 0.87613547157115621845912302343838
y[1] (numeric) = 0.87613547157115293037390000569139
absolute error = 3.28808522301774699e-15
relative error = 3.7529415595071039884582400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.081
Order of pole = 3.627
x[1] = 0.377
y[1] (analytic) = 0.87555783978867535978860531516142
y[1] (numeric) = 0.87555783978867208959050740708124
absolute error = 3.27019809790808018e-15
relative error = 3.7349880833656577079032200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 3.628
x[1] = 0.378
y[1] (analytic) = 0.87497943798320739462622628368233
y[1] (numeric) = 0.87497943798320414235223400603904
absolute error = 3.25227399227764329e-15
relative error = 3.7169719093902420738483600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 3.628
x[1] = 0.379
y[1] (analytic) = 0.87440027071432381315465255268043
y[1] (numeric) = 0.87440027071432057884067515369239
absolute error = 3.23431397739898804e-15
relative error = 3.6988940714265560810536400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.082
Order of pole = 3.629
x[1] = 0.38
y[1] (analytic) = 0.87382034253757427472911569381335
y[1] (numeric) = 0.87382034253757105840999524806884
absolute error = 3.21631912044574451e-15
relative error = 3.6807556014381100172440000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.083
Order of pole = 3.629
x[1] = 0.381
y[1] (analytic) = 0.87323965800442033914881837575677
y[1] (numeric) = 0.87323965800441714085833393984976
absolute error = 3.19829048443590701e-15
relative error = 3.6625575294471077074786100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.083
Order of pole = 3.629
x[1] = 0.382
y[1] (analytic) = 0.87265822166216956796436761949309
y[1] (numeric) = 0.87265822166216638773523944356309
absolute error = 3.18022912817593000e-15
relative error = 3.6443008834758744093200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.083
Order of pole = 3.63
x[1] = 0.383
y[1] (analytic) = 0.8720760380539099965204166081649
y[1] (numeric) = 0.87207603805390683438431040253084
absolute error = 3.16213610620563406e-15
relative error = 3.6259866894888323146273400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.084
Order of pole = 3.63
x[1] = 0.384
y[1] (analytic) = 0.87149311171844497741089854425791
y[1] (numeric) = 0.87149311171844183339842980033603
absolute error = 3.14401246874392188e-15
relative error = 3.6076159713350256247372800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.084
Order of pole = 3.63
x[1] = 0.385
y[1] (analytic) = 0.87090944719022839600252563739685
y[1] (numeric) = 0.87090944719022527014326400209293
absolute error = 3.12585926163530392e-15
relative error = 3.5891897506911968435420000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.085
Order of pole = 3.631
x[1] = 0.386
y[1] (analytic) = 0.87032504899930025866060456259204
y[1] (numeric) = 0.87032504899929715098307826535842
absolute error = 3.10767752629723362e-15
relative error = 3.5707090470054162404455200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.085
Order of pole = 3.631
x[1] = 0.387
y[1] (analytic) = 0.86973992167122265428968775467072
y[1] (numeric) = 0.86973992167121956482138808641927
absolute error = 3.08946829966825145e-15
relative error = 3.5521748774412658014150500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.085
Order of pole = 3.631
x[1] = 0.388
y[1] (analytic) = 0.86915406972701608978013878652185
y[1] (numeric) = 0.86915406972701301854752462958426
absolute error = 3.07123261415693759e-15
relative error = 3.5335882568225796025489600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.086
Order of pole = 3.631
x[1] = 0.389
y[1] (analytic) = 0.86856749768309619993034088668582
y[1] (numeric) = 0.86856749768309314695884329501348
absolute error = 3.05297149759167234e-15
relative error = 3.5149501975787417901611400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.086
Order of pole = 3.632
x[1] = 0.39
y[1] (analytic) = 0.86798021005121083239302143911119
y[1] (numeric) = 0.86798021005120779770704826790757
absolute error = 3.03468597317120362e-15
relative error = 3.4962617096905436906020000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.086
Order of pole = 3.632
x[1] = 0.391
y[1] (analytic) = 0.86739221133837750817300311133586
y[1] (numeric) = 0.86739221133837449179594369531504
absolute error = 3.01637705941602082e-15
relative error = 3.4775238006366014989824200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.087
Order of pole = 3.632
x[1] = 0.392
y[1] (analytic) = 0.86680350604682125818262509708199
y[1] (numeric) = 0.86680350604681826013685497654818
absolute error = 2.99804577012053381e-15
relative error = 3.4587374753403355173798400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.087
Order of pole = 3.632
x[1] = 0.393
y[1] (analytic) = 0.86621409867391283634010683884693
y[1] (numeric) = 0.86621409867390985664699253279063
absolute error = 2.97969311430605630e-15
relative error = 3.4399037361175123894787000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.088
Order of pole = 3.632
x[1] = 0.394
y[1] (analytic) = 0.86562399371210730967525250251897
y[1] (numeric) = 0.86562399371210434835515632792673
absolute error = 2.96132009617459224e-15
relative error = 3.4210235826243512409686400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.088
Order of pole = 3.632
x[1] = 0.395
y[1] (analytic) = 0.86503319564888302588611837979282
y[1] (numeric) = 0.86503319564888008295840331636869
absolute error = 2.94292771506342413e-15
relative error = 3.4020980118061948798832500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.6MB, time=61.46
Complex estimate of poles used
Radius of convergence = 1.088
Order of pole = 3.632
x[1] = 0.396
y[1] (analytic) = 0.86444170896668095876958824912518
y[1] (numeric) = 0.86444170896667803425262284862329
absolute error = 2.92451696540050189e-15
relative error = 3.3831280178467469943822400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.089
Order of pole = 3.632
x[1] = 0.397
y[1] (analytic) = 0.86384953814284443192822446957479
y[1] (numeric) = 0.86384953814284152583938780894411
absolute error = 2.90608883666063068e-15
relative error = 3.3641145921178760208441200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.089
Order of pole = 3.632
x[1] = 0.398
y[1] (analytic) = 0.86325668764955922113528613506169
y[1] (numeric) = 0.86325668764955633349097281260528
absolute error = 2.88764431332245641e-15
relative error = 3.3450587231299867951696400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.089
Order of pole = 3.631
x[1] = 0.399
y[1] (analytic) = 0.8626631619537940357194308838588
y[1] (numeric) = 0.86266316195379116653505605761167
absolute error = 2.86918437482624713e-15
relative error = 3.3259613964829604993431300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.09
Order of pole = 3.631
x[1] = 0.4
y[1] (analytic) = 0.86206896551724137931034482758621
y[1] (numeric) = 0.86206896551723852860034929511761
absolute error = 2.85070999553246860e-15
relative error = 3.3068235948176635760000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.09
Order of pole = 3.631
x[1] = 0.401
y[1] (analytic) = 0.86147410279625879026637640732563
y[1] (numeric) = 0.8614741027962559580442317261733
absolute error = 2.83222214468115233e-15
relative error = 3.2876462977680263058163300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.091
Order of pole = 3.631
x[1] = 0.402
y[1] (analytic) = 0.86087857824181046208518565707418
y[1] (numeric) = 0.86087857824180764836339930502012
absolute error = 2.81372178635205406e-15
relative error = 3.2684304819136914043122400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.091
Order of pole = 3.63
x[1] = 0.403
y[1] (analytic) = 0.86028239629940924407846119567209
y[1] (numeric) = 0.86028239629940644886858177007129
absolute error = 2.79520987942560080e-15
relative error = 3.2491771207332332003272000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.091
Order of pole = 3.63
x[1] = 0.404
y[1] (analytic) = 0.85968556140905902257190410035625
y[1] (numeric) = 0.85968556140905624588452655573199
absolute error = 2.77668737754462426e-15
relative error = 3.2298871845579476532201600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 3.63
x[1] = 0.405
y[1] (analytic) = 0.85908807800519748287193144477138
y[1] (numeric) = 0.85908807800519472471670236789274
absolute error = 2.75815522907687864e-15
relative error = 3.2105616405262136589260000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 3.629
x[1] = 0.406
y[1] (analytic) = 0.85848995051663925222091350198655
y[1] (numeric) = 0.85848995051663651260653642364623
absolute error = 2.73961437707834032e-15
relative error = 3.1912014525384256249875200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.092
Order of pole = 3.629
x[1] = 0.407
y[1] (analytic) = 0.85789118336651942394322819304954
y[1] (numeric) = 0.85789118336651670287746893576214
absolute error = 2.72106575925728740e-15
relative error = 3.1718075812124978005226000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.093
Order of pole = 3.629
x[1] = 0.408
y[1] (analytic) = 0.85729178097223746296499506199934
y[1] (numeric) = 0.85729178097223476045468712284294
absolute error = 2.70251030793915640e-15
relative error = 3.1523809838399401309696000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.093
Order of pole = 3.628
x[1] = 0.409
y[1] (analytic) = 0.85669174774540149287103962113664
y[1] (numeric) = 0.85669174774539880892208958896283
absolute error = 2.68394895003217381e-15
relative error = 3.1329226143425058771106100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.093
Order of pole = 3.628
x[1] = 0.41
y[1] (analytic) = 0.85609108809177296464343806180978
y[1] (numeric) = 0.85609108809177029926083106804999
absolute error = 2.66538260699375979e-15
relative error = 3.1134334232294108106990000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.094
Order of pole = 3.627
x[1] = 0.411
y[1] (analytic) = 0.85548980641121170720690277614997
y[1] (numeric) = 0.85548980641120906039470797844853
absolute error = 2.64681219479770144e-15
relative error = 3.0939143575551239649462400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.094
Order of pole = 3.627
x[1] = 0.412
y[1] (analytic) = 0.85488790709762135988729157832825
y[1] (numeric) = 0.8548879070976187316486676762353
absolute error = 2.62823862390209295e-15
relative error = 3.0743663608777298157048000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 3.626
x[1] = 0.413
y[1] (analytic) = 0.85428539453889518687065862841063
y[1] (numeric) = 0.85428539453889257720785941037103
absolute error = 2.60966279921803960e-15
relative error = 3.0547903732178613965324000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 3.626
x[1] = 0.414
y[1] (analytic) = 0.85368227311686227373151351037565
y[1] (numeric) = 0.85368227311685968264589343125266
absolute error = 2.59108562007912299e-15
relative error = 3.0351873310182043539940400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.095
Order of pole = 3.625
x[1] = 0.415
y[1] (analytic) = 0.85307854720723410608031734521956
y[1] (numeric) = 0.85307854720723153357233713359517
absolute error = 2.57250798021162439e-15
relative error = 3.0155581671035714005677500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.096
Order of pole = 3.624
x[1] = 0.416
y[1] (analytic) = 0.85247422117955153036172186153091
y[1] (numeric) = 0.8524742211795489764309541560278
absolute error = 2.55393076770550311e-15
relative error = 2.9959038106415466562041600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.096
Order of pole = 3.624
x[1] = 0.417
y[1] (analytic) = 0.85186929939713209681664961508286
y[1] (numeric) = 0.85186929939712956146178462895589
absolute error = 2.53535486498612697e-15
relative error = 2.9762251871036996026863300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.096
Order of pole = 3.623
x[1] = 0.418
y[1] (analytic) = 0.85126378621701778460302164593556
y[1] (numeric) = 0.85126378621701526782187285918403
absolute error = 2.51678114878675153e-15
relative error = 2.9565232182273679043277200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=400.5MB, alloc=4.6MB, time=62.05
Complex estimate of poles used
Radius of convergence = 1.097
Order of pole = 3.622
x[1] = 0.419
y[1] (analytic) = 0.85065768598992310905176337085017
y[1] (numeric) = 0.8506576859899206108412732491053
absolute error = 2.49821049012174487e-15
relative error = 2.9367988219780085211220700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.097
Order of pole = 3.622
x[1] = 0.42
y[1] (analytic) = 0.85005100306018361101666099965998
y[1] (numeric) = 0.85005100306018113137290673910532
absolute error = 2.47964375426055466e-15
relative error = 2.9170529125121165020240000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.097
Order of pole = 3.621
x[1] = 0.421
y[1] (analytic) = 0.84944374176570472825869979044223
y[1] (numeric) = 0.84944374176570226717689908802825
absolute error = 2.46108180070241398e-15
relative error = 2.8972864001407105362291800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.098
Order of pole = 3.62
x[1] = 0.422
y[1] (analytic) = 0.84883590643791104878769255842538
y[1] (numeric) = 0.84883590643790860626220940664275
absolute error = 2.44252548315178263e-15
relative error = 2.8775001912933846878809200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.098
Order of pole = 3.62
x[1] = 0.423
y[1] (analytic) = 0.84822750140169594606630255087456
y[1] (numeric) = 0.84822750140169352209065305635429
absolute error = 2.42397564949452027e-15
relative error = 2.8576951884829252873908300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.099
Order of pole = 3.619
x[1] = 0.424
y[1] (analytic) = 0.84761853097537159596397960290767
y[1] (numeric) = 0.84761853097536919053083782811977
absolute error = 2.40543314177478790e-15
relative error = 2.8378722902704921695104000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.099
Order of pole = 3.618
x[1] = 0.425
y[1] (analytic) = 0.84700899947061937533086289041821
y[1] (numeric) = 0.84700899947061698843206671774436
absolute error = 2.38689879617267385e-15
relative error = 2.8180323912313630641562500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.099
Order of pole = 3.617
x[1] = 0.426
y[1] (analytic) = 0.84639891119244064204435807413777
y[1] (numeric) = 0.84639891119243827367091509159691
absolute error = 2.36837344298254086e-15
relative error = 2.7981763819212404451093600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.1
Order of pole = 3.617
x[1] = 0.427
y[1] (analytic) = 0.84578827043910789636387164655523
y[1] (numeric) = 0.845788270439105546505965054465
absolute error = 2.34985790659209023e-15
relative error = 2.7783051488431194495456700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.1
Order of pole = 3.616
x[1] = 0.428
y[1] (analytic) = 0.84517708150211632341208129927382
y[1] (numeric) = 0.84517708150211399205907583713449
absolute error = 2.33135300546213933e-15
relative error = 2.7584195744147158610267200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.1
Order of pole = 3.615
x[1] = 0.429
y[1] (analytic) = 0.84456534866613571658413855601284
y[1] (numeric) = 0.84456534866613340372458644890429
absolute error = 2.31285955210710855e-15
relative error = 2.7385205369364529146505500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.101
Order of pole = 3.614
x[1] = 0.43
y[1] (analytic) = 0.84395307620896278166933918474133
y[1] (numeric) = 0.84395307620896048729098610852758
absolute error = 2.29437835307621375e-15
relative error = 2.7186089105600056723750000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.101
Order of pole = 3.614
x[1] = 0.431
y[1] (analytic) = 0.84334026840147382145305841565037
y[1] (numeric) = 0.84334026840147154554284948029015
absolute error = 2.27591020893536022e-15
relative error = 2.6986855652574016698274200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.102
Order of pole = 3.613
x[1] = 0.432
y[1] (analytic) = 0.84272692950757780055013213958255
y[1] (numeric) = 0.84272692950757554309421788984846
absolute error = 2.25745591424973409e-15
relative error = 2.6787513667906764648121600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.102
Order of pole = 3.612
x[1] = 0.433
y[1] (analytic) = 0.84211306378416979020437241944978
y[1] (numeric) = 0.84211306378416755118811485236273
absolute error = 2.23901625756708705e-15
relative error = 2.6588071766820826339174500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.102
Order of pole = 3.611
x[1] = 0.434
y[1] (analytic) = 0.84149867548108479277253617602806
y[1] (numeric) = 0.84149867548108257218051477431776
absolute error = 2.22059202140171030e-15
relative error = 2.6388538521848508452668000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.103
Order of pole = 3.61
x[1] = 0.435
y[1] (analytic) = 0.84088376884105194559482015598394
y[1] (numeric) = 0.84088376884104974341083793689053
absolute error = 2.20218398221909341e-15
relative error = 2.6188922462545013605072500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.103
Order of pole = 3.61
x[1] = 0.436
y[1] (analytic) = 0.8402683480996491039378335865342
y[1] (numeric) = 0.84026834809964692014492316527027
absolute error = 2.18379291042126393e-15
relative error = 2.5989232075207045180372800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.103
Order of pole = 3.609
x[1] = 0.437
y[1] (analytic) = 0.83965241748525780268000258612945
y[1] (numeric) = 0.83965241748525563726043225332611
absolute error = 2.16541957033280334e-15
relative error = 2.5789475802596884610364600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.104
Order of pole = 3.608
x[1] = 0.438
y[1] (analytic) = 0.83903598121901859639348773832817
y[1] (numeric) = 0.83903598121901644932876755079306
absolute error = 2.14706472018753511e-15
relative error = 2.5589662043671925956428400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.104
Order of pole = 3.608
x[1] = 0.439
y[1] (analytic) = 0.83841904351478677746094853700069
y[1] (numeric) = 0.83841904351478464873183642112035
absolute error = 2.12872911211588034e-15
relative error = 2.5389799153319649150051400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.105
Order of pole = 3.607
x[1] = 0.44
y[1] (analytic) = 0.83780160857908847184986595174263
y[1] (numeric) = 0.83780160857908636143637381886604
absolute error = 2.11041349213287659e-15
relative error = 2.5189895442098014978240000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.105
Order of pole = 3.606
x[1] = 0.441
y[1] (analytic) = 0.83718368061107711215163740570172
y[1] (numeric) = 0.83718368061107502003303727884634
absolute error = 2.09211860012685538e-15
relative error = 2.4989959175981263411577800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.6MB, time=62.64
Complex estimate of poles used
Radius of convergence = 1.105
Order of pole = 3.605
x[1] = 0.442
y[1] (analytic) = 0.83656526380249028747728725308776
y[1] (numeric) = 0.83656526380248821363211740431385
absolute error = 2.07384516984877391e-15
relative error = 2.4789998576111097761532400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.106
Order of pole = 3.605
x[1] = 0.443
y[1] (analytic) = 0.83594636233760696978639062603187
y[1] (numeric) = 0.83594636233760491419246172383563
absolute error = 2.05559392890219624e-15
relative error = 2.4590021818553233499037600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.106
Order of pole = 3.604
x[1] = 0.444
y[1] (analytic) = 0.8353269803932051162106895123027
y[1] (numeric) = 0.83532698039320307884509077838317
absolute error = 2.03736559873391953e-15
relative error = 2.4390037034059294904660800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.106
Order of pole = 3.603
x[1] = 0.445
y[1] (analytic) = 0.83470712213851964691888733540619
y[1] (numeric) = 0.83470712213851762775799271016572
absolute error = 2.01916089462524047e-15
relative error = 2.4190052307834037140717500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.107
Order of pole = 3.603
x[1] = 0.446
y[1] (analytic) = 0.83408679173520079805424233224012
y[1] (numeric) = 0.83408679173519879707371664838273
absolute error = 2.00098052568385739e-15
relative error = 2.3990075679307875665892400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.107
Order of pole = 3.602
x[1] = 0.447
y[1] (analytic) = 0.83346599333727284926184084300084
y[1] (numeric) = 0.83346599333727086643664600659765
absolute error = 1.98282519483640319e-15
relative error = 2.3790115141914700749907100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.108
Order of pole = 3.602
x[1] = 0.448
y[1] (analytic) = 0.83284473109109322530781941261127
y[1] (numeric) = 0.83284473109109126061222059100696
absolute error = 1.96469559882160431e-15
relative error = 2.3590178642874955814342400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.108
Order of pole = 3.601
x[1] = 0.449
y[1] (analytic) = 0.83222300913531197127831950872211
y[1] (numeric) = 0.83222300913531002468589132466109
absolute error = 1.94659242818406102e-15
relative error = 2.3390274082983959056930200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.108
Order of pole = 3.601
x[1] = 0.45
y[1] (analytic) = 0.83160083160083160083160083160083
y[1] (numeric) = 0.83160083160082967231523356295665
absolute error = 1.92851636726864418e-15
relative error = 2.3190409316405446264500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.109
Order of pole = 3.6
x[1] = 0.451
y[1] (analytic) = 0.83097820261076731696250875643281
y[1] (numeric) = 0.83097820261076540649441454092936
absolute error = 1.91046809421550345e-15
relative error = 2.2990592150470310672334500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.109
Order of pole = 3.599
x[1] = 0.452
y[1] (analytic) = 0.83035512628040760472438852648501
y[1] (numeric) = 0.83035512628040571227610757080275
absolute error = 1.89244828095568226e-15
relative error = 2.2790830345480519684470400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.11
Order of pole = 3.599
x[1] = 0.453
y[1] (analytic) = 0.82973160671717519533956351139097
y[1] (numeric) = 0.82973160671717332088197030405655
absolute error = 1.87445759320733442e-15
relative error = 2.2591131614518183089937800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.11
Order of pole = 3.599
x[1] = 0.454
y[1] (analytic) = 0.8291076480205884011156472511765
y[1] (numeric) = 0.82910764802058654461895677863898
absolute error = 1.85649669047253752e-15
relative error = 2.2391503623259750634723200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.11
Order of pole = 3.598
x[1] = 0.455
y[1] (analytic) = 0.82848325428222282057123920382759
y[1] (numeric) = 0.82848325428222098200501316912954
absolute error = 1.83856622603469805e-15
relative error = 2.2191953989795314138012500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.111
Order of pole = 3.598
x[1] = 0.456
y[1] (analytic) = 0.8278584295856734131609621701812
y[1] (numeric) = 0.82785842958567159249411521363797
absolute error = 1.82066684695654323e-15
relative error = 2.1992490284452990030732800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.111
Order of pole = 3.597
x[1] = 0.457
y[1] (analytic) = 0.82723317800651694297633534047677
y[1] (numeric) = 0.82723317800651514017714126178221
absolute error = 1.80279919407869456e-15
relative error = 2.1793120029628358401614400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 3.597
x[1] = 0.458
y[1] (analytic) = 0.82660750361227479078564083573325
y[1] (numeric) = 0.82660750361227300582173881691535
absolute error = 1.78496390201881790e-15
relative error = 2.1593850699618932179756000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 3.597
x[1] = 0.459
y[1] (analytic) = 0.82598141046237613376273353591904
y[1] (numeric) = 0.82598141046237436660113436457391
absolute error = 1.76716159917134513e-15
relative error = 2.1394689720463632933335300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.112
Order of pole = 3.596
x[1] = 0.46
y[1] (analytic) = 0.82535490260812149224166391548366
y[1] (numeric) = 0.82535490260811974284875620772158
absolute error = 1.74939290770776208e-15
relative error = 2.1195644469787245361280000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.113
Order of pole = 3.596
x[1] = 0.461
y[1] (analytic) = 0.82472798409264664282103155326794
y[1] (numeric) = 0.82472798409264491116258797581021
absolute error = 1.73165844357745773e-15
relative error = 2.0996722276649826242373300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.113
Order of pole = 3.596
x[1] = 0.462
y[1] (analytic) = 0.82410065895088689712916294447869
y[1] (numeric) = 0.82410065895088518317034643534923
absolute error = 1.71395881650912946e-15
relative error = 2.0797930421401040884602400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.114
Order of pole = 3.596
x[1] = 0.463
y[1] (analytic) = 0.82347293120954174554851120211402
y[1] (numeric) = 0.82347293120954004925388118937487
absolute error = 1.69629463001273915e-15
relative error = 2.0599276135539400288463500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.114
Order of pole = 3.596
x[1] = 0.464
y[1] (analytic) = 0.82284480488703986518510716730739
y[1] (numeric) = 0.82284480488703818651862578529248
absolute error = 1.67866648138201491e-15
relative error = 2.0400766601576371920633600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 3.595
memory used=408.1MB, alloc=4.6MB, time=63.24
x[1] = 0.465
y[1] (analytic) = 0.82221628399350449135645131451828
y[1] (numeric) = 0.82221628399350283028148961702501
absolute error = 1.66107496169749327e-15
relative error = 2.0202408952905337523057500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 3.595
x[1] = 0.466
y[1] (analytic) = 0.82158737253071915185892358908801
y[1] (numeric) = 0.82158737253071750833826775899147
absolute error = 1.64352065583009654e-15
relative error = 2.0004210273675369842402400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.115
Order of pole = 3.595
x[1] = 0.467
y[1] (analytic) = 0.82095807449209376326360389101289
y[1] (numeric) = 0.82095807449209213725946144577292
absolute error = 1.62600414244523997e-15
relative error = 1.9806177598669799098173300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.116
Order of pole = 3.595
x[1] = 0.468
y[1] (analytic) = 0.82032839386263108847733924844794
y[1] (numeric) = 0.82032839386262947995134524098418
absolute error = 1.60852599400746376e-15
relative error = 1.9608317913189545025702400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.116
Order of pole = 3.595
x[1] = 0.469
y[1] (analytic) = 0.81969833461889355479396472510187
y[1] (numeric) = 0.81969833461889196370718793951768
absolute error = 1.59108677678558419e-15
relative error = 1.9410638152941180740165900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.117
Order of pole = 3.595
x[1] = 0.47
y[1] (analytic) = 0.81906790072897043164878368416742
y[1] (numeric) = 0.81906790072896885796173282580852
absolute error = 1.57368705085835890e-15
relative error = 1.9213145203929703810100000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.117
Order of pole = 3.595
x[1] = 0.471
y[1] (analytic) = 0.81843709615244536727773908389062
y[1] (numeric) = 0.81843709615244381095036896322976
absolute error = 1.55632737012066086e-15
relative error = 1.9015845902355983858432600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.118
Order of pole = 3.595
x[1] = 0.472
y[1] (analytic) = 0.81780592484036428347116089186643
y[1] (numeric) = 0.81780592484036274446287860171072
absolute error = 1.53900828229015571e-15
relative error = 1.8818747034518857596966400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.118
Order of pole = 3.595
x[1] = 0.473
y[1] (analytic) = 0.81717439073520362760055535171594
y[1] (numeric) = 0.81717439073520210587022643723883
absolute error = 1.52173032891447711e-15
relative error = 1.8621855336721841593431900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.118
Order of pole = 3.596
x[1] = 0.474
y[1] (analytic) = 0.81654249777083898108560958163629
y[1] (numeric) = 0.81654249777083747659156420274143
absolute error = 1.50449404537889486e-15
relative error = 1.8425177495184434415653600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.119
Order of pole = 3.596
x[1] = 0.475
y[1] (analytic) = 0.81591024987251402345741968383478
y[1] (numeric) = 0.8159102498725125361574587693646
absolute error = 1.48729996091447018e-15
relative error = 1.8228720145957975143625000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.119
Order of pole = 3.596
x[1] = 0.476
y[1] (analytic) = 0.81527765095680985116291204132479
y[1] (numeric) = 0.81527765095680838101431343463167
absolute error = 1.47014859860669312e-15
relative error = 1.8032489874846032203571200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.12
Order of pole = 3.596
x[1] = 0.477
y[1] (analytic) = 0.81464470493161465024451560818522
y[1] (numeric) = 0.81464470493161319720404020358879
absolute error = 1.45304047540459643e-15
relative error = 1.7836493217329288511214700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.12
Order of pole = 3.596
x[1] = 0.478
y[1] (analytic) = 0.81401141569609372201835758544678
y[1] (numeric) = 0.81401141569609228604225545510616
absolute error = 1.43597610213034062e-15
relative error = 1.7640736658494893662200800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.121
Order of pole = 3.597
x[1] = 0.479
y[1] (analytic) = 0.81337778714065986086359573171872
y[1] (numeric) = 0.8133777871406584419076122424539
absolute error = 1.41895598348926482e-15
relative error = 1.7445226632970252295656200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.121
Order of pole = 3.597
x[1] = 0.48
y[1] (analytic) = 0.81274382314694408322496749024707
y[1] (numeric) = 0.81274382314694268124434940984897
absolute error = 1.40198061808039810e-15
relative error = 1.7249969524861218222400000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.122
Order of pole = 3.597
x[1] = 0.481
y[1] (analytic) = 0.81210952758776670692022891743364
y[1] (numeric) = 0.81210952758776532186973051000794
absolute error = 1.38505049840742570e-15
relative error = 1.7054971667694661173777000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.122
Order of pole = 3.598
x[1] = 0.482
y[1] (analytic) = 0.81147490432710877983387485758615
y[1] (numeric) = 0.81147490432710741166776396748127
absolute error = 1.36816611089010488e-15
relative error = 1.6860239344365376061411200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.122
Order of pole = 3.598
x[1] = 0.483
y[1] (analytic) = 0.8108399572200838570683757010725
y[1] (numeric) = 0.81083995722008250574043982494746
absolute error = 1.35132793587612504e-15
relative error = 1.6665778787087303744565600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.123
Order of pole = 3.598
x[1] = 0.484
y[1] (analytic) = 0.81020469011291012561413515510559
y[1] (numeric) = 0.81020469011290879107768750169912
absolute error = 1.33453644765340647e-15
relative error = 1.6471596177349028560363200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.123
Order of pole = 3.599
x[1] = 0.485
y[1] (analytic) = 0.80956910684288287558946750591997
y[1] (numeric) = 0.80956910684288155779735304308737
absolute error = 1.31779211446283260e-15
relative error = 1.6277697645873523983350000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.124
Order of pole = 3.599
x[1] = 0.486
y[1] (analytic) = 0.80893321123834731709211160689729
y[1] (numeric) = 0.80893321123834601599671309548707
absolute error = 1.30109539851141022e-15
relative error = 1.6084089272582112683231200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.124
Order of pole = 3.6
x[1] = 0.487
y[1] (analytic) = 0.80829700711867174169414202910031
y[1] (numeric) = 0.80829700711867045724738604324815
absolute error = 1.28444675598585216e-15
relative error = 1.5890777086562607309350400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.125
Order of pole = 3.6
memory used=412.0MB, alloc=4.6MB, time=63.84
x[1] = 0.488
y[1] (analytic) = 0.8076604982942210276026051897033
y[1] (numeric) = 0.80766049829421975975596812312607
absolute error = 1.26784663706657723e-15
relative error = 1.5697767066041601978611200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.125
Order of pole = 3.601
x[1] = 0.489
y[1] (analytic) = 0.80702368856633048749879955226326
y[1] (numeric) = 0.80702368856632923620331361014139
absolute error = 1.25129548594212187e-15
relative error = 1.5505065138360879936762700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.126
Order of pole = 3.601
x[1] = 0.49
y[1] (analytic) = 0.80638658172728005805983388436416
y[1] (numeric) = 0.80638658172727882326609306040601
absolute error = 1.23479374082395815e-15
relative error = 1.5312677179957905018150000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.126
Order of pole = 3.602
x[1] = 0.491
y[1] (analytic) = 0.80574918156026883015693576809249
y[1] (numeric) = 0.80574918156026761181510180637971
absolute error = 1.21834183396171278e-15
relative error = 1.5120609016350364587151800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.127
Order of pole = 3.603
x[1] = 0.492
y[1] (analytic) = 0.80511149183938991871594378389519
y[1] (numeric) = 0.80511149183938871677575212511359
absolute error = 1.20194019165878160e-15
relative error = 1.4928866422124729092224000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.127
Order of pole = 3.603
x[1] = 0.493
y[1] (analytic) = 0.80447351632960567121650071718814
y[1] (numeric) = 0.80447351632960448562726642885376
absolute error = 1.18558923428833438e-15
relative error = 1.4737455120928797627246200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.128
Order of pole = 3.604
x[1] = 0.494
y[1] (analytic) = 0.80383525878672321379767145002235
y[1] (numeric) = 0.80383525878672204450829514031806
absolute error = 1.16928937630970429e-15
relative error = 1.4546380785468192861144400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.128
Order of pole = 3.604
x[1] = 0.495
y[1] (analytic) = 0.80319672295737033392903756952672
y[1] (numeric) = 0.80319672295736918088801128436981
absolute error = 1.15304102628515691e-15
relative error = 1.4355649037506774818727500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.128
Order of pole = 3.605
x[1] = 0.496
y[1] (analytic) = 0.80255791257897169859777081514202
y[1] (numeric) = 0.80255791257897056175318391810874
absolute error = 1.13684458689703328e-15
relative error = 1.4165265447870938194124800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.129
Order of pole = 3.606
x[1] = 0.497
y[1] (analytic) = 0.80191883137972540695375895442615
y[1] (numeric) = 0.8019188313797242862533039891645
absolute error = 1.12070045496526165e-15
relative error = 1.3975235536457759649048500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.129
Order of pole = 3.606
x[1] = 0.498
y[1] (analytic) = 0.80127948307857987634655017131355
y[1] (numeric) = 0.80127948307857877173752870608095
absolute error = 1.10460902146523260e-15
relative error = 1.3785564772246961457304000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.13
Order of pole = 3.607
x[1] = 0.499
y[1] (analytic) = 0.80063987138521106067969521241376
y[1] (numeric) = 0.80063987138520997210902366638156
absolute error = 1.08857067154603220e-15
relative error = 1.3596258573316657638322000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.13
Order of pole = 3.608
x[1] = 0.5
y[1] (analytic) = 0.8
y[1] (numeric) = 0.79999999999999892741421545097212
absolute error = 1.07258578454902788e-15
relative error = 1.3407322306862848500000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.131
Order of pole = 3.608
x[1] = 0.501
y[1] (analytic) = 0.79935987261401070023125481114723
y[1] (numeric) = 0.79935987261400964357652078434557
absolute error = 1.05665473402680166e-15
relative error = 1.3218761289222629034616600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.131
Order of pole = 3.609
x[1] = 0.502
y[1] (analytic) = 0.7987194929089683419541790601308
y[1] (numeric) = 0.79871949290896730117629129770528
absolute error = 1.04077788776242552e-15
relative error = 1.3030580785901078007420800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.132
Order of pole = 3.61
x[1] = 0.503
y[1] (analytic) = 0.79807886455723781712661281762541
y[1] (numeric) = 0.79807886455723679217100502855195
absolute error = 1.02495560778907346e-15
relative error = 1.2842786011601791470411400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.132
Order of pole = 3.61
x[1] = 0.504
y[1] (analytic) = 0.79743799122180259263039706032459
y[1] (numeric) = 0.79743799122180158344214665035939
absolute error = 1.00918825040996520e-15
relative error = 1.2655382130261029202432000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.133
Order of pole = 3.611
x[1] = 0.505
y[1] (analytic) = 0.79679687655624389952391386625764
y[1] (numeric) = 0.79679687655624290604774764762164
absolute error = 9.9347616621863600e-16
relative error = 1.2468374255085436459000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.133
Order of pole = 3.612
x[1] = 0.506
y[1] (analytic) = 0.79615552420472024687190494539965
y[1] (numeric) = 0.79615552420471926905220482587205
absolute error = 9.7781970011952760e-16
relative error = 1.2281767448593309685936000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.134
Order of pole = 3.613
x[1] = 0.507
y[1] (analytic) = 0.79551393780194725901695160650062
y[1] (numeric) = 0.79551393780194629679776025760584
absolute error = 9.6221919134889478e-16
relative error = 1.2095566722659368343042200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.134
Order of pole = 3.613
x[1] = 0.508
y[1] (analytic) = 0.7948721209731778351498810871307
y[1] (numeric) = 0.79487212097317688847490759110813
absolute error = 9.4667497349602257e-16
relative error = 1.1909777038563001385044800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.135
Order of pole = 3.614
x[1] = 0.509
y[1] (analytic) = 0.79423007733418263002936268595904
y[1] (numeric) = 0.79423007733418169884198816121029
absolute error = 9.3118737452474875e-16
relative error = 1.1724403307039951808987500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.135
Order of pole = 3.615
x[1] = 0.51
y[1] (analytic) = 0.79358781049123085469407189905563
y[1] (numeric) = 0.79358781049122993893735510376915
absolute error = 9.1575671679528648e-16
relative error = 1.1539450388337404934480000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.136
Order of pole = 3.615
x[1] = 0.511
memory used=415.8MB, alloc=4.6MB, time=64.45
y[1] (analytic) = 0.79294532404107139600403133402742
y[1] (numeric) = 0.79294532404107049562071424768553
absolute error = 9.0038331708634189e-16
relative error = 1.1354923092272445706586900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.136
Order of pole = 3.616
x[1] = 0.512
y[1] (analytic) = 0.79230262157091425384108310937579
y[1] (numeric) = 0.79230262157091336877359649185424
absolute error = 8.8506748661752155e-16
relative error = 1.1170826178293851192032000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.137
Order of pole = 3.617
x[1] = 0.513
y[1] (analytic) = 0.7916597066584122947919082878063
y[1] (numeric) = 0.79165970665841142498237721578178
absolute error = 8.6980953107202452e-16
relative error = 1.0987164355547181409038800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.137
Order of pole = 3.618
x[1] = 0.514
y[1] (analytic) = 0.79101658287164332113058418156678
y[1] (numeric) = 0.79101658287164246652083356195272
absolute error = 8.5460975061961406e-16
relative error = 1.0803942282943136161957600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.138
Order of pole = 3.618
x[1] = 0.515
y[1] (analytic) = 0.7903732537690924539113596395898
y[1] (numeric) = 0.79037325376909161444291969972607
absolute error = 8.3946843993986373e-16
relative error = 1.0621164569229140877892500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.138
Order of pole = 3.619
x[1] = 0.516
y[1] (analytic) = 0.78972972289963482897613120885508
y[1] (numeric) = 0.78972972289963400459024296318218
absolute error = 8.2438588824567290e-16
relative error = 1.0438835773064127836624000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.139
Order of pole = 3.62
x[1] = 0.517
y[1] (analytic) = 0.7890859938025186046750188788824
y[1] (numeric) = 0.78908599380251779531263957183578
absolute error = 8.0936237930704662e-16
relative error = 1.0256960403096478040131800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.139
Order of pole = 3.62
x[1] = 0.518
y[1] (analytic) = 0.78844207000734828009246848597046
y[1] (numeric) = 0.78844207000734748569427701083575
absolute error = 7.9439819147513471e-16
relative error = 1.0075542918045087559260400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.14
Order of pole = 3.621
x[1] = 0.519
y[1] (analytic) = 0.78779795503406832256544828460934
y[1] (numeric) = 0.78779795503406754307185057808418
absolute error = 7.7949359770652516e-16
relative error = 9.8945877267835248362276000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.14
Order of pole = 3.622
x[1] = 0.52
y[1] (analytic) = 0.78715365239294710327455919395466
y[1] (numeric) = 0.78715365239294633862569360616784
absolute error = 7.6464886558778682e-16
relative error = 9.7140991884272437612800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.141
Order of pole = 3.622
x[1] = 0.521
y[1] (analytic) = 0.78650916558456113968324129865247
y[1] (numeric) = 0.78650916558456038981898393839612
absolute error = 7.4986425736025635e-16
relative error = 9.5340816124238169390035000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.141
Order of pole = 3.623
x[1] = 0.522
y[1] (analytic) = 0.78586449809977964359473282178794
y[1] (numeric) = 0.78586449809977890845470287672334
absolute error = 7.3514002994506460e-16
relative error = 9.3545392586461558246640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.142
Order of pole = 3.623
x[1] = 0.523
y[1] (analytic) = 0.78521965341974937359102148439494
y[1] (numeric) = 0.78521965341974865311458651599765
absolute error = 7.2047643496839729e-16
relative error = 9.1754763374886803233641000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.142
Order of pole = 3.624
x[1] = 0.524
y[1] (analytic) = 0.784574635015879790612721406962
y[1] (numeric) = 0.78457463501587908473900261997662
absolute error = 7.0587371878698538e-16
relative error = 8.9968970099664067769888000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.142
Order of pole = 3.624
x[1] = 0.525
y[1] (analytic) = 0.78392944634982851543361097501225
y[1] (numeric) = 0.78392944634982782410148846119231
absolute error = 6.9133212251381994e-16
relative error = 8.8188053878169156096250000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.143
Order of pole = 3.625
x[1] = 0.526
y[1] (analytic) = 0.78328409087348708677847785969189
y[1] (numeric) = 0.78328409087348640992659581560503
absolute error = 6.7685188204408686e-16
relative error = 8.6412055336051663607736000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.143
Order of pole = 3.626
x[1] = 0.527
y[1] (analytic) = 0.78263857202896701882793612730086
y[1] (numeric) = 0.78263857202896635639470804598432
absolute error = 6.6243322808131654e-16
relative error = 8.4641014608311250133766000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.144
Order of pole = 3.626
x[1] = 0.528
y[1] (analytic) = 0.78199289324858615684900655622842
y[1] (numeric) = 0.7819928932485855087726203924847
absolute error = 6.4807638616374372e-16
relative error = 8.2874971340401684923648000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.144
Order of pole = 3.626
x[1] = 0.529
y[1] (analytic) = 0.78134705795485532968548436876143
y[1] (numeric) = 0.78134705795485469590390767788877
absolute error = 6.3378157669087266e-16
relative error = 8.1113964689362315604706000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.145
Order of pole = 3.627
x[1] = 0.53
y[1] (analytic) = 0.78070106956046529783745803731751
y[1] (numeric) = 0.78070106956046467828844308707454
absolute error = 6.1954901495024297e-16
relative error = 7.9358033324976622027300000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.145
Order of pole = 3.627
x[1] = 0.531
y[1] (analytic) = 0.78005493146827399585478809417759
y[1] (numeric) = 0.7800549314682733904758769497863
absolute error = 6.0537891114439129e-16
relative error = 7.7607215430957500251969000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.146
Order of pole = 3.628
x[1] = 0.532
y[1] (analytic) = 0.77940864707129406776490541096659
y[1] (numeric) = 0.77940864707129347649343499296236
absolute error = 5.9127147041800423e-16
relative error = 7.5861548706158945919152000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.146
Order of pole = 3.628
x[1] = 0.533
y[1] (analytic) = 0.77876221975268069425094366511979
y[1] (numeric) = 0.77876221975268011702405077986203
absolute error = 5.7722689288525776e-16
relative error = 7.4121070365813775178064000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.147
Order of pole = 3.629
x[1] = 0.534
y[1] (analytic) = 0.77811565288571971029198011758884
y[1] (numeric) = 0.77811565288571914704660646025035
absolute error = 5.6324537365733849e-16
relative error = 7.2385817142797050445444000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.6MB, time=65.05
Complex estimate of poles used
Radius of convergence = 1.147
Order of pole = 3.629
x[1] = 0.535
y[1] (analytic) = 0.77746894983381601197302182744077
y[1] (numeric) = 0.77746894983381546264591895729855
absolute error = 5.4932710287014222e-16
relative error = 7.0655825288914867691950000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.148
Order of pole = 3.629
x[1] = 0.536
y[1] (analytic) = 0.77682211395048225116834045938153
y[1] (numeric) = 0.77682211395048171569607474723638
absolute error = 5.3547226571214515e-16
relative error = 6.8931130576218160301440000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.148
Order of pole = 3.629
x[1] = 0.537
y[1] (analytic) = 0.7761751485793278167978273305241
y[1] (numeric) = 0.77617514857932729511678487808094
absolute error = 5.2168104245244316e-16
relative error = 6.7211768298341174160604000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.149
Order of pole = 3.63
x[1] = 0.538
y[1] (analytic) = 0.77552805705404810135221072027944
y[1] (numeric) = 0.77552805705404759339860225132476
absolute error = 5.0795360846895468e-16
relative error = 6.5497773271864279839792000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.149
Order of pole = 3.63
x[1] = 0.539
y[1] (analytic) = 0.77488084269841405137924915596104
y[1] (numeric) = 0.77488084269841355708911487917841
absolute error = 4.9429013427678263e-16
relative error = 6.3789179837700779645023000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.15
Order of pole = 3.63
x[1] = 0.54
y[1] (analytic) = 0.77423350882626200061938680706101
y[1] (numeric) = 0.77423350882626151992860125033009
absolute error = 4.8069078555673092e-16
relative error = 6.2086021862507365627200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.15
Order of pole = 3.63
x[1] = 0.541
y[1] (analytic) = 0.77358605874148378447582969038765
y[1] (numeric) = 0.77358605874148331732010650641655
absolute error = 4.6715572318397110e-16
relative error = 6.0388332740117894551910000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.151
Order of pole = 3.63
x[1] = 0.542
y[1] (analytic) = 0.77293849573801713450057352036384
y[1] (numeric) = 0.77293849573801668081547026350909
absolute error = 4.5368510325685475e-16
relative error = 5.8696145393000142877900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.151
Order of pole = 3.631
x[1] = 0.543
y[1] (analytic) = 0.7722908230998363515745851446771
y[1] (numeric) = 0.77229082309983591129550801880991
absolute error = 4.4027907712586719e-16
relative error = 5.7009492273735200510431000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.152
Order of pole = 3.631
x[1] = 0.544
y[1] (analytic) = 0.77164304410094325645710899303669
y[1] (numeric) = 0.77164304410094282951931757031849
absolute error = 4.2693779142271820e-16
relative error = 5.5328405366519173323520000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.152
Order of pole = 3.631
x[1] = 0.545
y[1] (analytic) = 0.77099516200535841637593724099381
y[1] (numeric) = 0.77099516200535800271454915142846
absolute error = 4.1366138808956535e-16
relative error = 5.3652916188686849808375000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.153
Order of pole = 3.631
x[1] = 0.546
y[1] (analytic) = 0.77034718006711264632744685374805
y[1] (numeric) = 0.77034718006711224587744244538228
absolute error = 4.0045000440836577e-16
relative error = 5.1983055792257013988932000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.153
Order of pole = 3.631
x[1] = 0.547
y[1] (analytic) = 0.76969910153023878375226772597788
y[1] (numeric) = 0.76969910153023839644849469562594
absolute error = 3.8730377303035194e-16
relative error = 5.0318854765499051361546000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.154
Order of pole = 3.631
x[1] = 0.548
y[1] (analytic) = 0.76905092962876373524960316972031
y[1] (numeric) = 0.76905092962876336102678116409286
absolute error = 3.7422282200562745e-16
relative error = 4.8660343234520539574480000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.154
Order of pole = 3.631
x[1] = 0.549
y[1] (analytic) = 0.76840266758670079399047641733793
y[1] (numeric) = 0.76840266758670043278320160445959
absolute error = 3.6120727481287834e-16
relative error = 4.7007550864875468455434000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.155
Order of pole = 3.631
x[1] = 0.55
y[1] (analytic) = 0.76775431861804222648752399232246
y[1] (numeric) = 0.76775431861804187823027360312647
absolute error = 3.4825725038919599e-16
relative error = 4.5360506863192777697500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.155
Order of pole = 3.63
x[1] = 0.551
y[1] (analytic) = 0.76710588592675212737639814636534
y[1] (numeric) = 0.76710588592675179200353498635795
absolute error = 3.3537286316000739e-16
relative error = 4.3719239978824879361139000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.156
Order of pole = 3.63
x[1] = 0.552
y[1] (analytic) = 0.76645737270675954086137545374276
y[1] (numeric) = 0.76645737270675921830715238463409
absolute error = 3.2255422306910867e-16
relative error = 4.2083778505515835818368000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.156
Order of pole = 3.63
x[1] = 0.553
y[1] (analytic) = 0.76580878214195184747539647835173
y[1] (numeric) = 0.7658087821419515376739608695539
absolute error = 3.0980143560879783e-16
relative error = 4.0454150283088868559447000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.157
Order of pole = 3.63
x[1] = 0.554
y[1] (analytic) = 0.76516011740616841480248156729277
y[1] (numeric) = 0.76516011740616811768787971719018
absolute error = 2.9711460185010259e-16
relative error = 3.8830382699152867651244000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.157
Order of pole = 3.63
x[1] = 0.555
y[1] (analytic) = 0.76451138166319451080827965826341
y[1] (numeric) = 0.76451138166319422631446118516396
absolute error = 2.8449381847309945e-16
relative error = 3.7212502690827590808625000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.158
Order of pole = 3.629
x[1] = 0.556
y[1] (analytic) = 0.76386257806675547842240989477029
y[1] (numeric) = 0.76386257806675520648323209745039
absolute error = 2.7193917779731990e-16
relative error = 3.5600536746487218460640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.158
Order of pole = 3.629
x[1] = 0.557
y[1] (analytic) = 0.76321370976051117001424919996123
y[1] (numeric) = 0.76321370976051091056348138772134
absolute error = 2.5945076781223989e-16
relative error = 3.3994510907521950363261000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=423.4MB, alloc=4.6MB, time=65.64
Complex estimate of poles used
Radius of convergence = 1.159
Order of pole = 3.629
x[1] = 0.558
y[1] (analytic) = 0.76256477987805064040190214158693
y[1] (numeric) = 0.76256477987805039337322993373834
absolute error = 2.4702867220784859e-16
relative error = 3.2394450770117315837676000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.159
Order of pole = 3.629
x[1] = 0.559
y[1] (analytic) = 0.7619157915428870970322618003613
y[1] (numeric) = 0.76191579154288686235929139506863
absolute error = 2.3467297040529267e-16
relative error = 3.0800381487050892881427000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.159
Order of pole = 3.628
x[1] = 0.56
y[1] (analytic) = 0.76126674786845310596833130328867
y[1] (numeric) = 0.76126674786845288358459371569647
absolute error = 2.2238373758759220e-16
relative error = 2.9212327769506111392000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.16
Order of pole = 3.628
x[1] = 0.561
y[1] (analytic) = 0.76061765195809605231832457228568
y[1] (numeric) = 0.76061765195809584215727984186136
absolute error = 2.1016104473042432e-16
relative error = 2.7630313888902819241472000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.16
Order of pole = 3.627
x[1] = 0.562
y[1] (analytic) = 0.75996850690507385373950103507711
y[1] (numeric) = 0.75996850690507365573454240210614
absolute error = 1.9800495863297097e-16
relative error = 2.6054363678744305304868000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.161
Order of pole = 3.627
x[1] = 0.563
y[1] (analytic) = 0.75931931579255092564821191690921
y[1] (numeric) = 0.75931931579255073973266996808222
absolute error = 1.8591554194882699e-16
relative error = 2.4484500536480473219331000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.161
Order of pole = 3.627
x[1] = 0.564
y[1] (analytic) = 0.75867008169359439676624464378922
y[1] (numeric) = 0.75867008169359422287339142682448
absolute error = 1.7389285321696474e-16
relative error = 2.2920747425386835593504000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.162
Order of pole = 3.626
x[1] = 0.565
y[1] (analytic) = 0.75802080767117057363224620515833
y[1] (numeric) = 0.75802080767117041169529931240658
absolute error = 1.6193694689275175e-16
relative error = 2.1363126876459042739375000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.162
Order of pole = 3.626
x[1] = 0.566
y[1] (analytic) = 0.75737149677814165270578540938959
y[1] (numeric) = 0.75737149677814150265791203037202
absolute error = 1.5004787337901757e-16
relative error = 1.9811660990322612265492000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.163
Order of pole = 3.625
x[1] = 0.567
y[1] (analytic) = 0.75672215205726267869047718142187
y[1] (numeric) = 0.75672215205726254046479812425549
absolute error = 1.3822567905716638e-16
relative error = 1.8266371439157574233982000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.163
Order of pole = 3.625
x[1] = 0.568
y[1] (analytic) = 0.75607277654117874770153875931482
y[1] (numeric) = 0.75607277654117862123113244098307
absolute error = 1.2647040631833175e-16
relative error = 1.6727279468637721251200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.164
Order of pole = 3.624
x[1] = 0.569
y[1] (analytic) = 0.75542337325242245390217720570405
y[1] (numeric) = 0.7554233732524223391200836111341
absolute error = 1.1478209359456995e-16
relative error = 1.5194405899884151158195000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.164
Order of pole = 3.623
x[1] = 0.57
y[1] (analytic) = 0.75477394520341157823231942033361
y[1] (numeric) = 0.75477394520341147507154403024517
absolute error = 1.0316077539008844e-16
relative error = 1.3667771131432817415600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.165
Order of pole = 3.623
x[1] = 0.571
y[1] (analytic) = 0.75412449539644701785238917952009
y[1] (numeric) = 0.75412449539644692624590686701419
absolute error = 9.160648231250590e-17
relative error = 1.2147395141215763614190000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.165
Order of pole = 3.622
x[1] = 0.572
y[1] (analytic) = 0.75347502682371095492410999529832
y[1] (numeric) = 0.75347502682371087480486889115774
absolute error = 8.011924110414058e-17
relative error = 1.0633297488555771152672000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.166
Order of pole = 3.622
x[1] = 0.573
y[1] (analytic) = 0.7528255424672652633496671381864
y[1] (numeric) = 0.75282554246726519465059246486301
absolute error = 6.869907467332339e-17
relative error = 9.1254973161740985315310000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.166
Order of pole = 3.621
x[1] = 0.574
y[1] (analytic) = 0.75217604529905015208999635946794
y[1] (numeric) = 0.7521760452990500947439942337354
absolute error = 5.734600212573254e-17
relative error = 7.6240133522110394349040000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.167
Order of pole = 3.62
x[1] = 0.575
y[1] (analytic) = 0.75152653828088304368248003757633
y[1] (numeric) = 0.75152653828088299762244124183009
absolute error = 4.606003879574624e-17
relative error = 6.1288639122589840600000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.167
Order of pole = 3.62
x[1] = 0.576
y[1] (analytic) = 0.75087702436445768657792301408045
y[1] (numeric) = 0.75087702436445765173672673627017
absolute error = 3.484119627781028e-17
relative error = 4.6400669014077063457280000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.168
Order of pole = 3.619
x[1] = 0.577
y[1] (analytic) = 0.75022750649134349991634963302622
y[1] (numeric) = 0.75022750649134347622686717520898
absolute error = 2.368948245781724e-17
relative error = 3.1576398163015875895960000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.168
Order of pole = 3.618
x[1] = 0.578
y[1] (analytic) = 0.74957798759298514936090980777822
y[1] (numeric) = 0.74957798759298513675600826328419
absolute error = 1.260490154449403e-17
relative error = 1.6815997472084773518520000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.169
Order of pole = 3.618
x[1] = 0.579
y[1] (analytic) = 0.7489284705907023526090046665733
y[1] (numeric) = 0.74892847059070235102155056577859
absolute error = 1.58745410079471e-18
relative error = 2.1196338009992293751100000000000e-16 %
Correct digits = 17
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.169
Order of pole = 3.617
x[1] = 0.58
y[1] (analytic) = 0.74827895839568991319964082609997
y[1] (numeric) = 0.74827895839568992256250375080474
absolute error = 9.36286292470477e-18
relative error = 1.2512530012575454628000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
memory used=427.2MB, alloc=4.6MB, time=66.24
Complex estimate of poles used
Radius of convergence = 1.17
Order of pole = 3.616
x[1] = 0.581
y[1] (analytic) = 0.74762945390901798123599596579147
y[1] (numeric) = 0.74762945390901800148205213220424
absolute error = 2.024605616641277e-17
relative error = 2.7080335132003231053970000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.17
Order of pole = 3.616
x[1] = 0.582
y[1] (analytic) = 0.74697996002163253964222647834804
y[1] (numeric) = 0.74697996002163257070436228868042
absolute error = 3.106213581033238e-17
relative error = 4.1583626700551405083120000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.17
Order of pole = 3.615
x[1] = 0.583
y[1] (analytic) = 0.74633047961435611457366990847749
y[1] (numeric) = 0.74633047961435615638478547115646
absolute error = 4.181111556267897e-17
relative error = 5.6022253820162362434330000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.171
Order of pole = 3.614
x[1] = 0.584
y[1] (analytic) = 0.74568101555788870859979001622602
y[1] (numeric) = 0.74568101555788876109280263473402
absolute error = 5.249301261850800e-17
relative error = 7.0396069530125864448000000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.171
Order of pole = 3.613
x[1] = 0.585
y[1] (analytic) = 0.74503157071280895527947996796364
y[1] (numeric) = 0.74503157071280901838732759831959
absolute error = 6.310784763035595e-17
relative error = 8.4704930785654514988750000000000e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.172
Order of pole = 3.613
x[1] = 0.586
y[1] (analytic) = 0.74438214792957549374867872168742
y[1] (numeric) = 0.74438214792957556740432339858478
absolute error = 7.365564467689736e-17
relative error = 9.8948698436365205834560000000001e-15 %
Correct digits = 16
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.172
Order of pole = 3.612
x[1] = 0.587
y[1] (analytic) = 0.74373275004852856194066648866663
y[1] (numeric) = 0.74373275004852864607709772028754
absolute error = 8.413643123162091e-17
relative error = 1.1312723720466929533779000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.173
Order of pole = 3.611
x[1] = 0.588
y[1] (analytic) = 0.74308337989989180705988657575289
y[1] (numeric) = 0.74308337989989190161012470728026
absolute error = 9.455023813152737e-17
relative error = 1.2724041566407416901328000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.173
Order of pole = 3.61
x[1] = 0.589
y[1] (analytic) = 0.74243404030377431193069229746956
y[1] (numeric) = 0.74243404030377441682779184332178
absolute error = 1.0489709954585222e-16
relative error = 1.4128810621739881801462000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.174
Order of pole = 3.61
x[1] = 0.59
y[1] (analytic) = 0.74178473407017283584303835027075
y[1] (numeric) = 0.74178473407017295102009129508661
absolute error = 1.1517705294481586e-16
relative error = 1.5527018507490626086600000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.174
Order of pole = 3.609
x[1] = 0.591
y[1] (analytic) = 0.74113546399897426851782541961237
y[1] (numeric) = 0.74113546399897439390796448801642
absolute error = 1.2539013906840405e-16
relative error = 1.6918653223235528498805000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.175
Order of pole = 3.608
x[1] = 0.592
y[1] (analytic) = 0.74048623287995829581536420074878
y[1] (numeric) = 0.74048623287995843135176609593013
absolute error = 1.3553640189518135e-16
relative error = 1.8303703144897418664640000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.175
Order of pole = 3.607
x[1] = 0.593
y[1] (analytic) = 0.73983704349280027581124981411594
y[1] (numeric) = 0.73983704349280042142713842525625
absolute error = 1.4561588861114031e-16
relative error = 1.9682157022535918887119000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.176
Order of pole = 3.607
x[1] = 0.594
y[1] (analytic) = 0.73918789860707432386482914410912
y[1] (numeric) = 0.73918789860707447949347872269807
absolute error = 1.5562864957858895e-16
relative error = 2.1054003978129996076220000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.176
Order of pole = 3.606
x[1] = 0.595
y[1] (analytic) = 0.73853880098225660530640128505751
y[1] (numeric) = 0.73853880098225677088113959013685
absolute error = 1.6557473830507934e-16
relative error = 2.2419233503353505334350000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.177
Order of pole = 3.605
x[1] = 0.596
y[1] (analytic) = 0.73788975336772883437031440006611
y[1] (numeric) = 0.73788975336772900982452581244571
absolute error = 1.7545421141237960e-16
relative error = 2.3777835457343943199360000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.177
Order of pole = 3.605
x[1] = 0.597
y[1] (analytic) = 0.73724075850278197800221024779399
y[1] (numeric) = 0.7372407585027821632693388532862
absolute error = 1.8526712860549221e-16
relative error = 2.5129800064464708307389000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.178
Order of pole = 3.604
x[1] = 0.598
y[1] (analytic) = 0.7365918191166201631698197707137
y[1] (numeric) = 0.73659181911662035818337241243458
absolute error = 1.9501355264172088e-16
relative error = 2.6475117912061083357152000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.178
Order of pole = 3.603
x[1] = 0.599
y[1] (analytic) = 0.73594293792836478630792882843036
y[1] (numeric) = 0.73594293792836499100147812821895
absolute error = 2.0469354929978859e-16
relative error = 2.7813779948210203588059000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.179
Order of pole = 3.603
x[1] = 0.6
y[1] (analytic) = 0.73529411764705882352941176470588
y[1] (numeric) = 0.7352941176470590378365991137151
absolute error = 2.1430718734900922e-16
relative error = 2.9145777479465253920000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.179
Order of pole = 3.602
x[1] = 0.601
y[1] (analytic) = 0.73464536097167134023557138144918
y[1] (numeric) = 0.7346453609716715640901098999644
absolute error = 2.2385453851851522e-16
relative error = 3.0471102168594143597922000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.18
Order of pole = 3.601
x[1] = 0.602
y[1] (analytic) = 0.73399667059110219876042642270575
y[1] (numeric) = 0.7339966705911024320961038892495
absolute error = 2.3333567746654375e-16
relative error = 3.1789746032312907117500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.18
Order of pole = 3.601
x[1] = 0.603
y[1] (analytic) = 0.73334804918418696268505121336101
y[1] (numeric) = 0.73334804918418720543573296314446
absolute error = 2.4275068174978345e-16
relative error = 3.3101701439014046047105000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
memory used=431.0MB, alloc=4.6MB, time=66.84
Complex estimate of poles used
Radius of convergence = 1.181
Order of pole = 3.6
x[1] = 0.604
y[1] (analytic) = 0.732699499419701996459596018804
y[1] (numeric) = 0.73269949941970224855922781158838
absolute error = 2.5209963179278438e-16
relative error = 3.4406961106490080637408000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.181
Order of pole = 3.599
x[1] = 0.605
y[1] (analytic) = 0.73205102395636975897220036236526
y[1] (numeric) = 0.73205102395637002035481121979863
absolute error = 2.6138261085743337e-16
relative error = 3.5705518099652541925425000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.182
Order of pole = 3.599
x[1] = 0.606
y[1] (analytic) = 0.73140262544286428970565432741677
y[1] (numeric) = 0.73140262544286456030535933991365
absolute error = 2.7059970501249688e-16
relative error = 3.6997365828246618422368000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.182
Order of pole = 3.598
x[1] = 0.607
y[1] (analytic) = 0.73075430651781688612436415240904
y[1] (numeric) = 0.73075430651781716587536725564278
absolute error = 2.7975100310323374e-16
relative error = 3.8282498044561710826926000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.183
Order of pole = 3.598
x[1] = 0.608
y[1] (analytic) = 0.73010606980982197093593757301061
y[1] (numeric) = 0.73010606980982225977253429409058
absolute error = 2.8883659672107997e-16
relative error = 3.9560908841138127603008000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.183
Order of pole = 3.597
x[1] = 0.609
y[1] (analytic) = 0.72945791793744314787352075052466
y[1] (numeric) = 0.72945791793744344573010092393237
absolute error = 2.9785658017340771e-16
relative error = 4.0832592648470133489251000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.184
Order of pole = 3.597
x[1] = 0.61
y[1] (analytic) = 0.72880985350921944464689162597478
y[1] (numeric) = 0.72880985350921975145794207933521
absolute error = 3.0681105045336043e-16
relative error = 4.2097544232705584600300000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.184
Order of pole = 3.596
x[1] = 0.611
y[1] (analytic) = 0.72816187912367174171224353228415
y[1] (numeric) = 0.72816187912367205741235074205074
absolute error = 3.1570010720976659e-16
relative error = 4.3355758693342386314539000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.185
Order of pole = 3.596
x[1] = 0.612
y[1] (analytic) = 0.72751399736930938551257726198652
y[1] (numeric) = 0.72751399736930971003642997912018
absolute error = 3.2452385271713366e-16
relative error = 4.4607231460921976955104000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.185
Order of pole = 3.595
x[1] = 0.613
y[1] (analytic) = 0.72686621082463698484265890567384
y[1] (numeric) = 0.72686621082463731812505075139848
absolute error = 3.3328239184572464e-16
relative error = 4.5851958294720074224816000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.186
Order of pole = 3.595
x[1] = 0.614
y[1] (analytic) = 0.7262185220581613889945940293218
y[1] (numeric) = 0.72621852205816173097042606104076
absolute error = 3.4197583203171896e-16
relative error = 4.7089935280434888104416000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.186
Order of pole = 3.594
x[1] = 0.615
y[1] (analytic) = 0.72557093362839884634221553084583
y[1] (numeric) = 0.72557093362839919694649877830571
absolute error = 3.5060428324745988e-16
relative error = 4.8321158827873039311300000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.187
Order of pole = 3.594
x[1] = 0.616
y[1] (analytic) = 0.72492344808388234202468219356036
y[1] (numeric) = 0.72492344808388270119254016535043
absolute error = 3.5916785797179007e-16
relative error = 4.9545625668633364280192000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.187
Order of pole = 3.593
x[1] = 0.617
y[1] (analytic) = 0.72427606796316911339193692424579
y[1] (numeric) = 0.72427606796316948105860808472332
absolute error = 3.6766667116047753e-16
relative error = 5.0763332853788856041817000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.188
Order of pole = 3.593
x[1] = 0.618
y[1] (analytic) = 0.72362879579484834187697731568451
y[1] (numeric) = 0.72362879579484871797781753241797
absolute error = 3.7610084021673346e-16
relative error = 5.1974277751566916997704000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.188
Order of pole = 3.593
x[1] = 0.619
y[1] (analytic) = 0.72298163409754901996224589906743
y[1] (numeric) = 0.72298163409754940443273086089157
absolute error = 3.8447048496182414e-16
relative error = 5.3178458045028163930654000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.189
Order of pole = 3.592
x[1] = 0.62
y[1] (analytic) = 0.72233458537994799190985264374458
y[1] (numeric) = 0.722334585379948384685580249523
absolute error = 3.9277572760577842e-16
relative error = 5.4375871729743964464800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.189
Order of pole = 3.592
x[1] = 0.621
y[1] (analytic) = 0.72168765214077816692779731546627
y[1] (numeric) = 0.72168765214077856794449003365891
absolute error = 4.0101669271819264e-16
relative error = 5.5566517111472916788224000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.19
Order of pole = 3.592
x[1] = 0.622
y[1] (analytic) = 0.72104083686883690344686361656779
y[1] (numeric) = 0.72104083686883731264037081570264
absolute error = 4.0919350719913485e-16
relative error = 5.6750392803836493730740000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.19
Order of pole = 3.592
x[1] = 0.623
y[1] (analytic) = 0.72039414204299456318541000152003
y[1] (numeric) = 0.72039414204299498049171025166987
absolute error = 4.1730630025014984e-16
relative error = 5.7927497725994024724936000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.191
Order of pole = 3.591
x[1] = 0.624
y[1] (analytic) = 0.71974757013220323368188308996269
y[1] (numeric) = 0.71974757013220365903708643532938
absolute error = 4.2535520334536669e-16
relative error = 5.9097831100317219028544000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.192
Order of pole = 3.591
x[1] = 0.625
y[1] (analytic) = 0.71910112359550561797752808988764
y[1] (numeric) = 0.71910112359550605131787829259828
absolute error = 4.3334035020271064e-16
relative error = 6.0261392450064448375000000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.192
Order of pole = 3.591
x[1] = 0.626
y[1] (analytic) = 0.71845480488204409013446600128172
y[1] (numeric) = 0.71845480488204453139634275650237
absolute error = 4.4126187675522065e-16
relative error = 6.1418181597054949743940000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.193
Order of pole = 3.591
memory used=434.8MB, alloc=4.6MB, time=67.44
x[1] = 0.627
y[1] (analytic) = 0.71780861643106991527704900264082
y[1] (numeric) = 0.71780861643107036439697012511521
absolute error = 4.4911992112247439e-16
relative error = 6.2568198659343162446631000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.193
Order of pole = 3.591
x[1] = 0.628
y[1] (analytic) = 0.71716256067195263284719273887251
y[1] (numeric) = 0.71716256067195308976181632099474
absolute error = 4.5691462358212223e-16
relative error = 6.3711444048893392355632000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.194
Order of pole = 3.591
x[1] = 0.629
y[1] (analytic) = 0.71651664002418960176721664095566
y[1] (numeric) = 0.71651664002419006641334318248722
absolute error = 4.6464612654153156e-16
relative error = 6.4847918469254964792996000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.194
Order of pole = 3.591
x[1] = 0.63
y[1] (analytic) = 0.71587085689741570620660032930059
y[1] (numeric) = 0.71587085689741617852117483884371
absolute error = 4.7231457450954312e-16
relative error = 6.5977622913238078432800000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.195
Order of pole = 3.59
x[1] = 0.631
y[1] (analytic) = 0.71522521369141322065198500029682
y[1] (numeric) = 0.71522521369141370057209906863757
absolute error = 4.7992011406834075e-16
relative error = 6.7100558660590537136075000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.195
Order of pole = 3.59
x[1] = 0.632
y[1] (analytic) = 0.71457971279612183298271288758804
y[1] (numeric) = 0.71457971279612232044560673302398
absolute error = 4.8746289384543594e-16
relative error = 6.8216727275675534489856000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.196
Order of pole = 3.59
x[1] = 0.633
y[1] (analytic) = 0.71393435659164882425720484704313
y[1] (numeric) = 0.71393435659164931920026933281173
absolute error = 4.9494306448576860e-16
relative error = 6.9326130605150673456540000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.196
Order of pole = 3.59
x[1] = 0.634
y[1] (analytic) = 0.71328914744827940391852526042187
y[1] (numeric) = 0.71328914744827990627930388434727
absolute error = 5.0236077862392540e-16
relative error = 7.0428770775648395808240000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.197
Order of pole = 3.591
x[1] = 0.635
y[1] (analytic) = 0.71264408772648719913057421297369
y[1] (numeric) = 0.71264408772648770884676506945085
absolute error = 5.0971619085647716e-16
relative error = 7.1524650191458016284100000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.197
Order of pole = 3.591
x[1] = 0.636
y[1] (analytic) = 0.71199917977694489695947870268053
y[1] (numeric) = 0.71199917977694541396893641711692
absolute error = 5.1700945771443639e-16
relative error = 7.2613771532209505200944000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.198
Order of pole = 3.591
x[1] = 0.637
y[1] (analytic) = 0.71135442594053503811792691402357
y[1] (numeric) = 0.7113544259405355623586645498599
absolute error = 5.2424073763583633e-16
relative error = 7.3696137750559200178777000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.199
Order of pole = 3.591
x[1] = 0.638
y[1] (analytic) = 0.71070982854836096099340176995176
y[1] (numeric) = 0.71070982854836149240359270838472
absolute error = 5.3141019093843296e-16
relative error = 7.4771752069877646577024000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.199
Order of pole = 3.591
x[1] = 0.639
y[1] (analytic) = 0.71006538992175789468452149758471
y[1] (numeric) = 0.71006538992175843320250129011553
absolute error = 5.3851797979253082e-16
relative error = 7.5840617981939679695322000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.2
Order of pole = 3.591
x[1] = 0.64
y[1] (analytic) = 0.70942111237230419977298524404086
y[1] (numeric) = 0.70942111237230474533725343797503
absolute error = 5.4556426819393417e-16
relative error = 7.6902739244616960603200000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.2
Order of pole = 3.591
x[1] = 0.641
y[1] (analytic) = 0.70877699820183275556195029913933
y[1] (numeric) = 0.70877699820183330811117223616384
absolute error = 5.5254922193702451e-16
relative error = 7.7958119879573107769331000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.201
Order of pole = 3.592
x[1] = 0.642
y[1] (analytic) = 0.70813304970244249251503366464518
y[1] (numeric) = 0.7081330497024430519880422526108
absolute error = 5.5947300858796562e-16
relative error = 7.9006764169961588180168000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.201
Order of pole = 3.592
x[1] = 0.643
y[1] (analytic) = 0.70748926915651006863353400087304
y[1] (numeric) = 0.7074892691565106349693314589103
absolute error = 5.6633579745803726e-16
relative error = 8.0048676658126530710974000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.202
Order of pole = 3.592
x[1] = 0.644
y[1] (analytic) = 0.70684565883670168851290982911299
y[1] (numeric) = 0.70684565883670226165066940621157
absolute error = 5.7313775957709858e-16
relative error = 8.1083862143306613667488000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.202
Order of pole = 3.592
x[1] = 0.645
y[1] (analytic) = 0.7062022210059850638230257234159
y[1] (numeric) = 0.70620222100598564370209339059826
absolute error = 5.7987906766718236e-16
relative error = 8.2112325679342190131900000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.203
Order of pole = 3.593
x[1] = 0.646
y[1] (analytic) = 0.70555895791764151396018954135845
y[1] (numeric) = 0.70555895791764210052008565757953
absolute error = 5.8655989611622108e-16
relative error = 8.3134072572385799622128000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.204
Order of pole = 3.593
x[1] = 0.647
y[1] (analytic) = 0.70491587181527820562254997677302
y[1] (numeric) = 0.70491587181527879880297092867881
absolute error = 5.9318042095190579e-16
relative error = 8.4149108378616212084611000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.204
Order of pole = 3.593
x[1] = 0.648
y[1] (analytic) = 0.7042729649328405300640043270531
y[1] (numeric) = 0.70427296493284112980482414273196
absolute error = 5.9974081981567886e-16
relative error = 8.5157438901956167602944000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.205
Order of pole = 3.594
x[1] = 0.649
y[1] (analytic) = 0.70363023949462461678538081524007
y[1] (numeric) = 0.70363023949462522302665275210153
absolute error = 6.0624127193686146e-16
relative error = 8.6159070191793944381346000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.205
Order of pole = 3.594
memory used=438.7MB, alloc=4.6MB, time=68.04
x[1] = 0.65
y[1] (analytic) = 0.70298769771528998242530755711775
y[1] (numeric) = 0.70298769771529059510726566403452
absolute error = 6.1268195810691677e-16
relative error = 8.7154008540708910532500000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.206
Order of pole = 3.595
x[1] = 0.651
y[1] (analytic) = 0.70234534179987231361686078321338
y[1] (numeric) = 0.70234534179987293267992143706317
absolute error = 6.1906306065384979e-16
relative error = 8.8142260482201198485179000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.206
Order of pole = 3.595
x[1] = 0.652
y[1] (analytic) = 0.70170317394379638257979768494089
y[1] (numeric) = 0.70170317394379700796456110168553
absolute error = 6.2538476341674464e-16
relative error = 8.9123832788425645344256000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.207
Order of pole = 3.595
x[1] = 0.653
y[1] (analytic) = 0.70106119633288909422192372594396
y[1] (numeric) = 0.70106119633288972586917544638422
absolute error = 6.3164725172044026e-16
relative error = 9.0098732467930147082634000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.208
Order of pole = 3.596
x[1] = 0.654
y[1] (analytic) = 0.70041941114339266352691991964789
y[1] (numeric) = 0.70041941114339330137763226999303
absolute error = 6.3785071235034514e-16
relative error = 9.1066966763398536190023999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.208
Order of pole = 3.596
x[1] = 0.655
y[1] (analytic) = 0.69977782054197792200976190059656
y[1] (numeric) = 0.69977782054197856600509542798875
absolute error = 6.4399533352739219e-16
relative error = 9.2028543149398162431475000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.209
Order of pole = 3.597
x[1] = 0.656
y[1] (analytic) = 0.69913642668575775202469909168195
y[1] (numeric) = 0.69913642668575840210600397481616
absolute error = 6.5008130488313421e-16
relative error = 9.2983469330132265339456000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.209
Order of pole = 3.597
x[1] = 0.657
y[1] (analytic) = 0.69849523172230064771462837608939
y[1] (numeric) = 0.69849523172230130382344581107037
absolute error = 6.5610881743498098e-16
relative error = 9.3931753237197308503602000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.21
Order of pole = 3.598
x[1] = 0.658
y[1] (analytic) = 0.69785423778964440139459190879883
y[1] (numeric) = 0.69785423778964506347265547037736
absolute error = 6.6207806356157853e-16
relative error = 9.4873403027345381666291999999999e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.21
Order of pole = 3.599
x[1] = 0.659
y[1] (analytic) = 0.69721344701630991416605253782209
y[1] (numeric) = 0.69721344701631058215528951615344
absolute error = 6.6798923697833135e-16
relative error = 9.5808427080251806700935000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.211
Order of pole = 3.599
x[1] = 0.66
y[1] (analytic) = 0.69657286152131512956255224296461
y[1] (numeric) = 0.69657286152131580340508495603281
absolute error = 6.7384253271306820e-16
relative error = 9.6736833996288070792000000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.212
Order of pole = 3.6
x[1] = 0.661
y[1] (analytic) = 0.69593248341418908903133853566062
y[1] (numeric) = 0.69593248341418976866948561751285
absolute error = 6.7963814708185223e-16
relative error = 9.7658632594300218818383000000001e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.212
Order of pole = 3.6
x[1] = 0.662
y[1] (analytic) = 0.69529231479498610805955039617756
y[1] (numeric) = 0.69529231479498679343582806111359
absolute error = 6.8537627766493603e-16
relative error = 9.8573831909392825553132000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.213
Order of pole = 3.601
x[1] = 0.663
y[1] (analytic) = 0.6946523577543000717575885560192
y[1] (numeric) = 0.69465235775430076281471183888135
absolute error = 6.9105712328286215e-16
relative error = 9.9482441190718658241335000000000e-14 %
Correct digits = 15
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.213
Order of pole = 3.601
x[1] = 0.664
y[1] (analytic) = 0.69401261437327884871635426845518
y[1] (numeric) = 0.69401261437327954539723824116494
absolute error = 6.9668088397270976e-16
relative error = 1.0038446989927416023449600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.214
Order of pole = 3.602
x[1] = 0.665
y[1] (analytic) = 0.69337308672363882195912565653764
y[1] (numeric) = 0.69337308672363952420688662102558
absolute error = 7.0224776096448794e-16
relative error = 1.0127992770570086192665000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.214
Order of pole = 3.603
x[1] = 0.666
y[1] (analytic) = 0.6927337768676795358129507965053
y[1] (numeric) = 0.69273377686768024357090745418159
absolute error = 7.0775795665767629e-16
relative error = 1.0216882448809285544872400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.215
Order of pole = 3.603
x[1] = 0.667
y[1] (analytic) = 0.69209468685829845752857139891023
y[1] (numeric) = 0.6920946868582991707402459968234
absolute error = 7.1321167459791317e-16
relative error = 1.0305117032981041622881300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.216
Order of pole = 3.604
x[1] = 0.668
y[1] (analytic) = 0.69145581873900585248204980694554
y[1] (numeric) = 0.69145581873900657109116926077776
absolute error = 7.1860911945383222e-16
relative error = 1.0392697551729990485372800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.216
Order of pole = 3.605
x[1] = 0.669
y[1] (analytic) = 0.69081717454393977179545456115494
y[1] (numeric) = 0.69081717454394049574595155520258
absolute error = 7.2395049699404764e-16
relative error = 1.0479625053792005958060400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.217
Order of pole = 3.605
x[1] = 0.67
y[1] (analytic) = 0.69017875629788115121816550486576
y[1] (numeric) = 0.69017875629788188045417956915428
absolute error = 7.2923601406428852e-16
relative error = 1.0565900607777476366280000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.217
Order of pole = 3.606
x[1] = 0.671
y[1] (analytic) = 0.68954056601626902011458785126058
y[1] (numeric) = 0.68954056601626975458046641594348
absolute error = 7.3446587856468290e-16
relative error = 1.0651525301955242935789000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.218
Order of pole = 3.607
x[1] = 0.672
y[1] (analytic) = 0.6889026057052158194083153300119
y[1] (numeric) = 0.68890260570521655904861475720366
absolute error = 7.3964029942719176e-16
relative error = 1.0736500244037207237478400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.219
Order of pole = 3.607
x[1] = 0.673
y[1] (analytic) = 0.68826487736152282733705501094685
y[1] (numeric) = 0.6882648773615235720965416041403
absolute error = 7.4475948659319345e-16
relative error = 1.0820826560963619661150500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.6MB, time=68.63
Complex estimate of poles used
Radius of convergence = 1.219
Order of pole = 3.608
x[1] = 0.674
y[1] (analytic) = 0.68762738297269569187692019946695
y[1] (numeric) = 0.68762738297269644170057119068582
absolute error = 7.4982365099121887e-16
relative error = 1.0904505398689058133881200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.22
Order of pole = 3.609
x[1] = 0.675
y[1] (analytic) = 0.68699012451696006869901245169601
y[1] (numeric) = 0.68699012451696082353201696653382
absolute error = 7.5483300451483781e-16
relative error = 1.0987537921969107871812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.22
Order of pole = 3.609
x[1] = 0.676
y[1] (analytic) = 0.68635310396327736352554880794193
y[1] (numeric) = 0.68635310396327812331330880863864
absolute error = 7.5978776000069671e-16
relative error = 1.1069925314147750897489600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.221
Order of pole = 3.61
x[1] = 0.677
y[1] (analytic) = 0.68571632327136057775714533551757
y[1] (numeric) = 0.68571632327136134244527654222575
absolute error = 7.6468813120670818e-16
relative error = 1.1151668776945475334312200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.222
Order of pole = 3.611
x[1] = 0.678
y[1] (analytic) = 0.68507978439169025624724255386782
y[1] (numeric) = 0.68507978439169102578157534426044
absolute error = 7.6953433279039262e-16
relative error = 1.1232769530248114611320800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.222
Order of pole = 3.611
x[1] = 0.679
y[1] (analytic) = 0.6844434892655305361040518370121
y[1] (numeric) = 0.6844434892655313104306321243842
absolute error = 7.7432658028737210e-16
relative error = 1.1313228811896424203561000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.223
Order of pole = 3.612
x[1] = 0.68
y[1] (analytic) = 0.68380743982494529540481400437637
y[1] (numeric) = 0.68380743982494607446990409439324
absolute error = 7.7906509009001687e-16
relative error = 1.1393047877476406706880000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.223
Order of pole = 3.613
x[1] = 0.681
y[1] (analytic) = 0.68317163799281440071159157813332
y[1] (numeric) = 0.68317163799281518446167100437794
absolute error = 7.8375007942624462e-16
relative error = 1.1472228000110392512158200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.224
Order of pole = 3.613
x[1] = 0.682
y[1] (analytic) = 0.68253608568285005228226416330631
y[1] (numeric) = 0.68253608568285084066403050177913
absolute error = 7.8838176633847282e-16
relative error = 1.1550770470248886519296800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.225
Order of pole = 3.614
x[1] = 0.683
y[1] (analytic) = 0.68190078479961322587486165937828
y[1] (numeric) = 0.68190078479961401883523132210244
absolute error = 7.9296036966272416e-16
relative error = 1.1628676595463186906742400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.225
Order of pole = 3.615
x[1] = 0.684
y[1] (analytic) = 0.68126573723853021004785210538363
y[1] (numeric) = 0.68126573723853100753396111326916
absolute error = 7.9748610900788553e-16
relative error = 1.1705947700238788225236800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.226
Order of pole = 3.615
x[1] = 0.685
y[1] (analytic) = 0.68063094488590923786349946400313
y[1] (numeric) = 0.68063094488591003982270419912352
absolute error = 8.0195920473512039e-16
relative error = 1.1782585125769572549977500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.226
Order of pole = 3.616
x[1] = 0.686
y[1] (analytic) = 0.6799964096189572119059211367364
y[1] (numeric) = 0.67999640961895801828579907417132
absolute error = 8.0637987793743492e-16
relative error = 1.1858590229752800436123200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.227
Order of pole = 3.617
x[1] = 0.687
y[1] (analytic) = 0.67936213330579652153000504766065
y[1] (numeric) = 0.67936213330579733227835546705857
absolute error = 8.1074835041939792e-16
relative error = 1.1933964386184907369044800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.227
Order of pole = 3.617
x[1] = 0.688
y[1] (analytic) = 0.67872811780548195126189131662395
y[1] (numeric) = 0.67872811780548276632673599363856
absolute error = 8.1506484467701461e-16
relative error = 1.2008708985158114135558400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.228
Order of pole = 3.618
x[1] = 0.689
y[1] (analytic) = 0.67809436496801767927628344615693
y[1] (numeric) = 0.67809436496801849860586732391137
absolute error = 8.1932958387775444e-16
relative error = 1.2082825432657859055112400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.229
Order of pole = 3.618
x[1] = 0.69
y[1] (analytic) = 0.67746087663437436488042815527403
y[1] (numeric) = 0.67746087663437518842321999600698
absolute error = 8.2354279184073295e-16
relative error = 1.2156315150361059074950000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.229
Order of pole = 3.619
x[1] = 0.691
y[1] (analytic) = 0.67682765463650632393919109619684
y[1] (numeric) = 0.67682765463650715164388411324455
absolute error = 8.2770469301704771e-16
relative error = 1.2229179575435206676185100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.23
Order of pole = 3.62
x[1] = 0.692
y[1] (analytic) = 0.67619470079736879118025727855976
y[1] (numeric) = 0.6761947007973696229957697488282
absolute error = 8.3181551247026844e-16
relative error = 1.2301420160338310662521600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.23
Order of pole = 3.62
x[1] = 0.693
y[1] (analytic) = 0.67556201693093526832309969471352
y[1] (numeric) = 0.67556201693093610419857555179477
absolute error = 8.3587547585708125e-16
relative error = 1.2373038372619686632312500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.231
Order of pole = 3.621
x[1] = 0.694
y[1] (analytic) = 0.67492960484221495697998698735722
y[1] (numeric) = 0.67492960484221579686479639544425
absolute error = 8.3988480940808703e-16
relative error = 1.2444035694721604347810800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.232
Order of pole = 3.621
x[1] = 0.695
y[1] (analytic) = 0.67429746632727027528194062810809
y[1] (numeric) = 0.67429746632727111912568053686214
absolute error = 8.4384373990875405e-16
relative error = 1.2514413623781799750012500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.232
Order of pole = 3.622
x[1] = 0.696
y[1] (analytic) = 0.6736656031732344571872035871346
y[1] (numeric) = 0.67366560317323530493969826765917
absolute error = 8.4775249468052457e-16
relative error = 1.2584173671436855601011200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=446.3MB, alloc=4.6MB, time=69.23
Complex estimate of poles used
Radius of convergence = 1.233
Order of pole = 3.622
x[1] = 0.697
y[1] (analytic) = 0.67303401715832923343444547717775
y[1] (numeric) = 0.67303401715833008504574703925336
absolute error = 8.5161130156207561e-16
relative error = 1.2653317363626460000184900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.233
Order of pole = 3.623
x[1] = 0.698
y[1] (analytic) = 0.67240271005188259310760326088418
y[1] (numeric) = 0.67240271005188344852799215161783
absolute error = 8.5542038889073365e-16
relative error = 1.2721846240398546472146000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.234
Order of pole = 3.623
x[1] = 0.699
y[1] (analytic) = 0.67177168361434662478394143225754
y[1] (numeric) = 0.67177168361434748396392691630083
absolute error = 8.5917998548404329e-16
relative error = 1.2789761855715323255372900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.235
Order of pole = 3.624
x[1] = 0.7
y[1] (analytic) = 0.67114093959731543624161073825503
y[1] (numeric) = 0.67114093959731629913193135974479
absolute error = 8.6289032062148976e-16
relative error = 1.2857065777260197424000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.235
Order of pole = 3.624
x[1] = 0.701
y[1] (analytic) = 0.67051047974354315170768961533484
y[1] (numeric) = 0.67051047974354401825931364170988
absolute error = 8.6655162402637504e-16
relative error = 1.2923759586245597610310400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.236
Order of pole = 3.625
x[1] = 0.702
y[1] (analytic) = 0.66988030578696198563240720148124
y[1] (numeric) = 0.66988030578696285579653304932899
absolute error = 8.7016412584784775e-16
relative error = 1.2989844877221705125910000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.236
Order of pole = 3.625
x[1] = 0.703
y[1] (analytic) = 0.66925041945270039197997067344662
y[1] (numeric) = 0.66925041945270126570802731653302
absolute error = 8.7372805664308640e-16
relative error = 1.3055323257886094866576000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.237
Order of pole = 3.625
x[1] = 0.704
y[1] (analytic) = 0.66862082245710128803115238135992
y[1] (numeric) = 0.66862082245710216527479974099584
absolute error = 8.7724364735963592e-16
relative error = 1.3120196348894292361267200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.238
Order of pole = 3.626
x[1] = 0.705
y[1] (analytic) = 0.6679915165077403516975334413253
y[1] (numeric) = 0.66799151650774123240866275922271
absolute error = 8.8071112931789741e-16
relative error = 1.3184465783671253702052500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.238
Order of pole = 3.626
x[1] = 0.706
y[1] (analytic) = 0.66736250330344439135204973719265
y[1] (numeric) = 0.6673625033034452754827839309635
absolute error = 8.8413073419377085e-16
relative error = 1.3248133208223772173906000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.239
Order of pole = 3.627
x[1] = 0.707
y[1] (analytic) = 0.66673378453430978718524331449366
y[1] (numeric) = 0.66673378453431067468793731594418
absolute error = 8.8750269400145052e-16
relative error = 1.3311200280953815609714800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.239
Order of pole = 3.627
x[1] = 0.708
y[1] (analytic) = 0.66610536188172100310138656492129
y[1] (numeric) = 0.66610536188172189392862764129432
absolute error = 8.9082724107637303e-16
relative error = 1.3373668672472800805099200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.24
Order of pole = 3.627
x[1] = 0.709
y[1] (analytic) = 0.66547723701836916817341804414909
y[1] (numeric) = 0.6654772370183700622780261024668
absolute error = 8.9410460805831771e-16
relative error = 1.3435540065416809147805100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.241
Order of pole = 3.627
x[1] = 0.71
y[1] (analytic) = 0.6648494116082707266804068878399
y[1] (numeric) = 0.664849411608271624015434762499
absolute error = 8.9733502787465910e-16
relative error = 1.3496816154262747523100000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.241
Order of pole = 3.628
x[1] = 0.711
y[1] (analytic) = 0.66422188730678615575604724211751
y[1] (numeric) = 0.66422188730678705627478096588875
absolute error = 9.0051873372377124e-16
relative error = 1.3557498645145458010160400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.242
Order of pole = 3.628
x[1] = 0.712
y[1] (analytic) = 0.66359466576063874968147456043489
y[1] (numeric) = 0.66359466576063965333743361901861
absolute error = 9.0365595905858372e-16
relative error = 1.3617589255675783853516800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.242
Order of pole = 3.628
x[1] = 0.713
y[1] (analytic) = 0.66296774860793346986049169666043
y[1] (numeric) = 0.66296774860793437660742926694931
absolute error = 9.0674693757028888e-16
relative error = 1.3677089714759590676367200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.243
Order of pole = 3.628
x[1] = 0.714
y[1] (analytic) = 0.66234113747817585952009410542881
y[1] (numeric) = 0.66234113747817676931199727762905
absolute error = 9.0979190317220024e-16
relative error = 1.3736001762417752335510400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.244
Order of pole = 3.629
x[1] = 0.715
y[1] (analytic) = 0.66171483399229102218398980959156
y[1] (numeric) = 0.66171483399229193497507979335309
absolute error = 9.1279108998376153e-16
relative error = 1.3794327149607100181742500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.244
Order of pole = 3.629
x[1] = 0.716
y[1] (analytic) = 0.66108883976264266297162077828667
y[1] (numeric) = 0.66108883976264357871635309299298
absolute error = 9.1574473231470631e-16
relative error = 1.3852067638042343880593600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.245
Order of pole = 3.629
x[1] = 0.717
y[1] (analytic) = 0.66046315639305219178000764816335
y[1] (numeric) = 0.66046315639305311043307229753097
absolute error = 9.1865306464936762e-16
relative error = 1.3909225000018963703981800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.245
Order of pole = 3.629
x[1] = 0.718
y[1] (analytic) = 0.65983778547881788741055898817835
y[1] (numeric) = 0.65983778547881880892688061931582
absolute error = 9.2151632163113747e-16
relative error = 1.3965801018237079830842800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.246
Order of pole = 3.629
x[1] = 0.719
y[1] (analytic) = 0.65921272860673412170780923174689
y[1] (numeric) = 0.6592127286067350460425472788227
absolute error = 9.2433473804707581e-16
relative error = 1.4021797485626301678134100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=450.1MB, alloc=4.6MB, time=69.84
Complex estimate of poles used
Radius of convergence = 1.247
Order of pole = 3.629
x[1] = 0.72
y[1] (analytic) = 0.65858798735511064278187565858799
y[1] (numeric) = 0.6585879873551115698904244712565
absolute error = 9.2710854881266851e-16
relative error = 1.4077216205171558655840000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.247
Order of pole = 3.629
x[1] = 0.721
y[1] (analytic) = 0.65796356329379191639125408513127
y[1] (numeric) = 0.65796356329379284622924304186555
absolute error = 9.2983798895673428e-16
relative error = 1.4132058989739919848494800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.248
Order of pole = 3.629
x[1] = 0.722
y[1] (analytic) = 0.65733945798417652456740490270061
y[1] (numeric) = 0.65733945798417745709069850918029
absolute error = 9.3252329360647968e-16
relative error = 1.4186327661908398335091200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.248
Order of pole = 3.629
x[1] = 0.723
y[1] (analytic) = 0.65671567297923662056741547576752
y[1] (numeric) = 0.65671567297923755573211344846989
absolute error = 9.3516469797270237e-16
relative error = 1.4240024053792751071677300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.249
Order of pole = 3.629
x[1] = 0.724
y[1] (analytic) = 0.65609220982353743924586137034043
y[1] (numeric) = 0.65609220982353837700829870548221
absolute error = 9.3776243733514178e-16
relative error = 1.4293150006877270576732800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.25
Order of pole = 3.629
x[1] = 0.725
y[1] (analytic) = 0.65546907005325686194182712003277
y[1] (numeric) = 0.65546907005325780225857414800978
absolute error = 9.4031674702797701e-16
relative error = 1.4345707371845574258812500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.25
Order of pole = 3.629
x[1] = 0.726
y[1] (analytic) = 0.65484625519620503498188695258127
y[1] (numeric) = 0.65484625519620597780974937805278
absolute error = 9.4282786242547151e-16
relative error = 1.4397698008412393316047600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.251
Order of pole = 3.629
x[1] = 0.727
y[1] (analytic) = 0.65422376677184404090468679364278
y[1] (numeric) = 0.65422376677184498620070572140687
absolute error = 9.4529601892776409e-16
relative error = 1.4449123785156363167236100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.251
Order of pole = 3.629
x[1] = 0.728
y[1] (analytic) = 0.65360160629130762151761064167991
y[1] (numeric) = 0.65360160629130856923906258848573
absolute error = 9.4772145194680582e-16
relative error = 1.4499986579353817557068800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.252
Order of pole = 3.628
x[1] = 0.729
y[1] (analytic) = 0.65297977525742095190085677476312
y[1] (numeric) = 0.65297977525742190200525366720545
absolute error = 9.5010439689244233e-16
relative error = 1.4550288276813587742975300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.252
Order of pole = 3.628
x[1] = 0.73
y[1] (analytic) = 0.65235827516472046447909191728097
y[1] (numeric) = 0.65235827516472141692418107592224
absolute error = 9.5244508915864127e-16
relative error = 1.4600030771712812027830000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.253
Order of pole = 3.628
x[1] = 0.731
y[1] (analytic) = 0.65173710749947372228569417496925
y[1] (numeric) = 0.65173710749947467702945828483337
absolute error = 9.5474376410986412e-16
relative error = 1.4649215966433752210273200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.254
Order of pole = 3.628
x[1] = 0.732
y[1] (analytic) = 0.65111627373969934054943795643251
y[1] (numeric) = 0.65111627373970029755009502401469
absolute error = 9.5700065706758218e-16
relative error = 1.4697845771401623340163200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.254
Order of pole = 3.628
x[1] = 0.733
y[1] (analytic) = 0.65049577535518695573831595750701
y[1] (numeric) = 0.65049577535518791495431925444318
absolute error = 9.5921600329693617e-16
relative error = 1.4745922104923437078431300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.255
Order of pole = 3.627
x[1] = 0.734
y[1] (analytic) = 0.64987561380751724120003431343241
y[1] (numeric) = 0.64987561380751820259007230697119
absolute error = 9.6139003799353878e-16
relative error = 1.4793446893027857589576800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.255
Order of pole = 3.627
x[1] = 0.735
y[1] (analytic) = 0.64925579055008196854355694784853
y[1] (numeric) = 0.64925579055008293206655321826851
absolute error = 9.6352299627041998e-16
relative error = 1.4840422069306076136955000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.256
Order of pole = 3.627
x[1] = 0.736
y[1] (analytic) = 0.64863630702810411391091369504753
y[1] (numeric) = 0.64863630702810507952602684016185
absolute error = 9.6561511314511432e-16
relative error = 1.4886849574753701666867200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.257
Order of pole = 3.626
x[1] = 0.737
y[1] (analytic) = 0.64801716467865800829332367355747
y[1] (numeric) = 0.64801716467865897595994720044729
absolute error = 9.6766662352688982e-16
relative error = 1.4932731357613670366395800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.257
Order of pole = 3.626
x[1] = 0.738
y[1] (analytic) = 0.64739836493068953105052037880573
y[1] (numeric) = 0.6473983649306905007282825829237
absolute error = 9.6967776220411797e-16
relative error = 1.4978069373220175976526800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.258
Order of pole = 3.626
x[1] = 0.739
y[1] (analytic) = 0.64677990920503634579699777701745
y[1] (numeric) = 0.64677990920503731744576160880159
absolute error = 9.7164876383178414e-16
relative error = 1.5022865583843619263209400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.258
Order of pole = 3.625
x[1] = 0.74
y[1] (analytic) = 0.64616179891444817782372706125614
y[1] (numeric) = 0.64616179891444915140358998039425
absolute error = 9.7357986291913811e-16
relative error = 1.5067121958536581390360000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.259
Order of pole = 3.625
x[1] = 0.741
y[1] (analytic) = 0.64554403546360713222872141611704
y[1] (numeric) = 0.64554403546360810770001523360098
absolute error = 9.7547129381748394e-16
relative error = 1.5110840472980818392591400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.259
Order of pole = 3.625
x[1] = 0.742
y[1] (analytic) = 0.64492662024914805193465087542339
y[1] (numeric) = 0.64492662024914902925794158353214
absolute error = 9.7732329070810875e-16
relative error = 1.5154023109335279358350000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=453.9MB, alloc=4.6MB, time=70.44
Complex estimate of poles used
Radius of convergence = 1.26
Order of pole = 3.624
x[1] = 0.743
y[1] (analytic) = 0.64430955465967891477653089560961
y[1] (numeric) = 0.64430955465967989391261848595943
absolute error = 9.7913608759034982e-16
relative error = 1.5196671856085148477811800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.261
Order of pole = 3.624
x[1] = 0.744
y[1] (analytic) = 0.64369284007580126884732635741946
y[1] (numeric) = 0.64369284007580224975724462721898
absolute error = 9.8090991826979952e-16
relative error = 1.5238788707891912671027200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.261
Order of pole = 3.623
x[1] = 0.745
y[1] (analytic) = 0.64307647787013070529412710406585
y[1] (numeric) = 0.64307647787013168793914345071317
absolute error = 9.8264501634664732e-16
relative error = 1.5280375665444452487830000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.262
Order of pole = 3.623
x[1] = 0.746
y[1] (analytic) = 0.64246046940731736776236158189187
y[1] (numeric) = 0.64246046940731835210397678605033
absolute error = 9.8434161520415846e-16
relative error = 1.5321434735311159095253600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.262
Order of pole = 3.622
x[1] = 0.747
y[1] (analytic) = 0.64184481604406649769032142946543
y[1] (numeric) = 0.6418448160440674836902694267541
absolute error = 9.8599994799728867e-16
relative error = 1.5361967929793077234580300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.263
Order of pole = 3.622
x[1] = 0.748
y[1] (analytic) = 0.64122951912915901466107172536909
y[1] (numeric) = 0.64122951912916000228131936680332
absolute error = 9.8762024764143423e-16
relative error = 1.5401977266778072474219200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.264
Order of pole = 3.621
x[1] = 0.749
y[1] (analytic) = 0.64061458000347213102361881895015
y[1] (numeric) = 0.64061458000347312022636562026709
absolute error = 9.8920274680131694e-16
relative error = 1.5441464769596025446569400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.264
Order of pole = 3.621
x[1] = 0.75
y[1] (analytic) = 0.64
y[1] (numeric) = 0.64000000000000099074767788000331
absolute error = 9.9074767788000331e-16
relative error = 1.5480432466875051718750000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.265
Order of pole = 3.62
x[1] = 0.751
y[1] (analytic) = 0.63938578044387439649974648353805
y[1] (numeric) = 0.63938578044387538875501949159532
absolute error = 9.9225527300805727e-16
relative error = 1.5518882392398745783372700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.265
Order of pole = 3.619
x[1] = 0.752
y[1] (analytic) = 0.6387719226523854298679530681493
y[1] (numeric) = 0.63877192265238642359371710097529
absolute error = 9.9372576403282599e-16
relative error = 1.5556816584964452186489600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.266
Order of pole = 3.619
x[1] = 0.753
y[1] (analytic) = 0.6381584279350022877979641469832
y[1] (numeric) = 0.63815842793500328295734665484122
absolute error = 9.9515938250785802e-16
relative error = 1.5594237088242560880621800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.266
Order of pole = 3.618
x[1] = 0.754
y[1] (analytic) = 0.63754529759339401064445628861931
y[1] (numeric) = 0.63754529759339500720081597107245
absolute error = 9.9655635968245314e-16
relative error = 1.5631145950636826693402400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.267
Order of pole = 3.618
x[1] = 0.755
y[1] (analytic) = 0.63693253292145029537746214232257
y[1] (numeric) = 0.63693253292145129329438863366599
absolute error = 9.9791692649134342e-16
relative error = 1.5667545225145714529855000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.268
Order of pole = 3.617
x[1] = 0.756
y[1] (analytic) = 0.63632013520530232842263874324228
y[1] (numeric) = 0.6363201352053033276639522877469
absolute error = 9.9924131354450462e-16
relative error = 1.5703436969224766124963200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.268
Order of pole = 3.616
x[1] = 0.757
y[1] (analytic) = 0.63570810572334364663783518504509
y[1] (numeric) = 0.63570810572334464716758630214266
absolute error = 1.00052975111709757e-15
relative error = 1.5738823244649992153909300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.269
Order of pole = 3.616
x[1] = 0.758
y[1] (analytic) = 0.63509644574625102568075988019541
y[1] (numeric) = 0.63509644574625202746322901973402
absolute error = 1.00178246913953861e-15
relative error = 1.5773706117382284719160400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.269
Order of pole = 3.615
x[1] = 0.759
y[1] (analytic) = 0.63448515653700539502728603415687
y[1] (numeric) = 0.63448515653700639802698322185552
absolute error = 1.00299969718769865e-15
relative error = 1.5808087657432852759906500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.27
Order of pole = 3.614
x[1] = 0.76
y[1] (analytic) = 0.63387423935091277890466531440162
y[1] (numeric) = 0.63387423935091378308632978763162
absolute error = 1.00418166447323000e-15
relative error = 1.5841969938729676480000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.271
Order of pole = 3.614
x[1] = 0.761
y[1] (analytic) = 0.63326369543562526240864379613722
y[1] (numeric) = 0.63326369543562626773724363015778
absolute error = 1.00532859983402056e-15
relative error = 1.5875355038984983807277600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.271
Order of pole = 3.613
x[1] = 0.762
y[1] (analytic) = 0.63265352603116198207819091458924
y[1] (numeric) = 0.63265352603116298851892263936365
absolute error = 1.00644073172477441e-15
relative error = 1.5908245039563743225200400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.272
Order of pole = 3.612
x[1] = 0.763
y[1] (analytic) = 0.6320437323699301402062611516216
y[1] (numeric) = 0.63204373236993114772454935933994
absolute error = 1.00751828820771834e-15
relative error = 1.5940642025353175182794600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.272
Order of pole = 3.612
x[1] = 0.764
y[1] (analytic) = 0.63143431567674604216970933815581
y[1] (numeric) = 0.63143431567674705073120628158943
absolute error = 1.00856149694343362e-15
relative error = 1.5972548084633280502595200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.273
Order of pole = 3.611
x[1] = 0.765
y[1] (analytic) = 0.63082527716885615606617357157501
y[1] (numeric) = 0.63082527716885716563675875338725
absolute error = 1.00957058518181224e-15
relative error = 1.6003965308948383081540000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.273
Order of pole = 3.61
memory used=457.7MB, alloc=4.6MB, time=71.04
x[1] = 0.766
y[1] (analytic) = 0.63021661805595819395042463995725
y[1] (numeric) = 0.63021661805595920449620439309421
absolute error = 1.01054577975313696e-15
relative error = 1.6034895792979685901017600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.274
Order of pole = 3.61
x[1] = 0.767
y[1] (analytic) = 0.6296083395402222139673573260282
y[1] (numeric) = 0.62960833954022322545466438531284
absolute error = 1.01148730705928464e-15
relative error = 1.6065341634418841415809600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.275
Order of pole = 3.609
x[1] = 0.768
y[1] (analytic) = 0.62900044281631174268346684916066
y[1] (numeric) = 0.62900044281631275507885991421255
absolute error = 1.01239539306505189e-15
relative error = 1.6095304933842530559673600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.275
Order of pole = 3.608
x[1] = 0.769
y[1] (analytic) = 0.62839292907140491692331281211491
y[1] (numeric) = 0.62839292907140593019357610171752
absolute error = 1.01327026328960261e-15
relative error = 1.6124787794588052990522100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.276
Order of pole = 3.608
x[1] = 0.77
y[1] (analytic) = 0.62778579948521564442212317157386
y[1] (numeric) = 0.6277857994852166585342659696104
absolute error = 1.01411214279803654e-15
relative error = 1.6153792322629924045660000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.276
Order of pole = 3.607
x[1] = 0.771
y[1] (analytic) = 0.62717905523001478261033177144843
y[1] (numeric) = 0.62717905523001579753158796452669
absolute error = 1.01492125619307826e-15
relative error = 1.6182320626457478939526600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.277
Order of pole = 3.606
x[1] = 0.772
y[1] (analytic) = 0.6265726974706513348504746914756
y[1] (numeric) = 0.62657269747065235054830229836137
absolute error = 1.01569782760688577e-15
relative error = 1.6210374816953479787476800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.278
Order of pole = 3.605
x[1] = 0.773
y[1] (analytic) = 0.62596672736457366345149289934643
y[1] (numeric) = 0.62596672736457467989357359232454
absolute error = 1.01644208069297811e-15
relative error = 1.6237957007273726270901900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.278
Order of pole = 3.605
x[1] = 0.774
y[1] (analytic) = 0.62536114606185071879010128349122
y[1] (numeric) = 0.62536114606185173594433990177252
absolute error = 1.01715423861828130e-15
relative error = 1.6265069312727667880788000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.279
Order of pole = 3.604
x[1] = 0.775
y[1] (analytic) = 0.6247559547051932838734869191722
y[1] (numeric) = 0.62475595470519430170801097446391
absolute error = 1.01783452405529171e-15
relative error = 1.6291713850660012933187500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.279
Order of pole = 3.603
x[1] = 0.776
y[1] (analytic) = 0.62415115442997523368219221858273
y[1] (numeric) = 0.62415115442997625216535139293907
absolute error = 1.01848315917435634e-15
relative error = 1.6317892740333335433958400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.28
Order of pole = 3.603
x[1] = 0.777
y[1] (analytic) = 0.62354674636425480863662127454202
y[1] (numeric) = 0.62354674636425582773698691061131
absolute error = 1.01910036563606929e-15
relative error = 1.6343608102811677663824100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.281
Order of pole = 3.602
x[1] = 0.778
y[1] (analytic) = 0.622942731628795901535180067826
y[1] (numeric) = 0.6229427316287969212215446516095
absolute error = 1.01968636458378350e-15
relative error = 1.6368862060845143120140000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.281
Order of pole = 3.601
x[1] = 0.779
y[1] (analytic) = 0.62233911133708935731662311330119
y[1] (numeric) = 0.62233911133709037755799974953852
absolute error = 1.02024137663623733e-15
relative error = 1.6393656738755482275745300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.282
Order of pole = 3.601
x[1] = 0.78
y[1] (analytic) = 0.62173588659537428500373041531957
y[1] (numeric) = 0.62173588659537530576935229561459
absolute error = 1.02076562188029502e-15
relative error = 1.6417994262322665101680000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.282
Order of pole = 3.6
x[1] = 0.781
y[1] (analytic) = 0.62113305850265938118997913614056
y[1] (numeric) = 0.62113305850266040244929899994098
absolute error = 1.02125931986380042e-15
relative error = 1.6441876758672439879836200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.283
Order of pole = 3.599
x[1] = 0.782
y[1] (analytic) = 0.62053062815074426443540400267076
y[1] (numeric) = 0.62053062815074528615809359121398
absolute error = 1.02172268958854322e-15
relative error = 1.6465306356164875240672800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.284
Order of pole = 3.599
x[1] = 0.783
y[1] (analytic) = 0.61992859662424081994235903908588
y[1] (numeric) = 0.61992859662424184209830854242292
absolute error = 1.02215594950333704e-15
relative error = 1.6488285184283884425165600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.284
Order of pole = 3.598
x[1] = 0.784
y[1] (analytic) = 0.61932696500059455388640057077173
y[1] (numeric) = 0.61932696500059557644571806798027
absolute error = 1.02255931749720854e-15
relative error = 1.6510815373527727523622400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.285
Order of pole = 3.597
x[1] = 0.785
y[1] (analytic) = 0.6187257343501059567820074556451
y[1] (numeric) = 0.61872573435010697971501834834191
absolute error = 1.02293301089269681e-15
relative error = 1.6532899055300489017422500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.285
Order of pole = 3.597
x[1] = 0.786
y[1] (analytic) = 0.6181249057359518752673390217308
y[1] (numeric) = 0.61812490573595289854458546099328
absolute error = 1.02327724643926248e-15
relative error = 1.6554538361804530830940800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.286
Order of pole = 3.596
x[1] = 0.787
y[1] (analytic) = 0.61752448021420689169670408659175
y[1] (numeric) = 0.61752448021420791528894439339736
absolute error = 1.02359224030680561e-15
relative error = 1.6575735425933914938600900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.287
Order of pole = 3.595
x[1] = 0.788
y[1] (analytic) = 0.61692445883386471093387556880435
y[1] (numeric) = 0.61692445883386573481208364809609
absolute error = 1.02387820807929174e-15
relative error = 1.6596492381168794702025600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.287
Order of pole = 3.595
x[1] = 0.789
y[1] (analytic) = 0.61632484263685955374383444035547
y[1] (numeric) = 0.61632484263686057787919918884082
memory used=461.5MB, alloc=4.6MB, time=71.67
absolute error = 1.02413536474848535e-15
relative error = 1.6616811361470771985673500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.288
Order of pole = 3.594
x[1] = 0.79
y[1] (analytic) = 0.61572563265808755618496398005049
y[1] (numeric) = 0.61572563265808858054888868784046
absolute error = 1.02436392470778997e-15
relative error = 1.6636694501179216902770000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.288
Order of pole = 3.594
x[1] = 0.791
y[1] (analytic) = 0.6151268299254281744081403424165
y[1] (numeric) = 0.61512682992542919897224208861072
absolute error = 1.02456410174619422e-15
relative error = 1.6656143934908547657638200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.289
Order of pole = 3.593
x[1] = 0.792
y[1] (analytic) = 0.61452843545976559427357822701172
y[1] (numeric) = 0.61452843545976661900968726933473
absolute error = 1.02473610904232301e-15
relative error = 1.6675161797446467105446400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.29
Order of pole = 3.592
x[1] = 0.793
y[1] (analytic) = 0.61393045027501014520069079454265
y[1] (numeric) = 0.61393045027501117008084995313588
absolute error = 1.02488015915859323e-15
relative error = 1.6693750223653154240922700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.29
Order of pole = 3.592
x[1] = 0.794
y[1] (analytic) = 0.61333287537811971767061080594393
y[1] (numeric) = 0.61333287537812074266707484141705
absolute error = 1.02499646403547312e-15
relative error = 1.6711911348361406518803200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.291
Order of pole = 3.591
x[1] = 0.795
y[1] (analytic) = 0.61273571176912118380539513794213
y[1] (numeric) = 0.61273571176912220889063012378672
absolute error = 1.02508523498584459e-15
relative error = 1.6729647306277730169947500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.291
Order of pole = 3.591
x[1] = 0.796
y[1] (analytic) = 0.61213896044113182045229723509074
y[1] (numeric) = 0.61213896044113284559897992455857
absolute error = 1.02514668268946783e-15
relative error = 1.6746960231884376785732800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.292
Order of pole = 3.59
x[1] = 0.797
y[1] (analytic) = 0.6115426223803807342058415774375
y[1] (numeric) = 0.61154262238038175938685876498476
absolute error = 1.02518101718754726e-15
relative error = 1.6763852259342319674773400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.293
Order of pole = 3.59
x[1] = 0.798
y[1] (analytic) = 0.61094669856623028780477076057976
y[1] (numeric) = 0.61094669856623131299321863797817
absolute error = 1.02518844787739841e-15
relative error = 1.6780325522395172270816400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.293
Order of pole = 3.589
x[1] = 0.799
y[1] (analytic) = 0.61035118997119752734525918868458
y[1] (numeric) = 0.61035118997119855251444269589922
absolute error = 1.02516918350721464e-15
relative error = 1.6796382154274039733906400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.294
Order of pole = 3.589
x[1] = 0.8
y[1] (analytic) = 0.60975609756097560975609756097561
y[1] (numeric) = 0.60975609756097663487952973190883
absolute error = 1.02512343217093322e-15
relative error = 1.6812024287603304808000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.294
Order of pole = 3.588
x[1] = 0.801
y[1] (analytic) = 0.6091614222944552299858491801601
y[1] (numeric) = 0.60916142229445625503725048335993
absolute error = 1.02505140130319983e-15
relative error = 1.6827254054307341441278300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.295
Order of pole = 3.588
x[1] = 0.802
y[1] (analytic) = 0.60856716512374604735626252126942
y[1] (numeric) = 0.60856716512374707230956019570035
absolute error = 1.02495329767443093e-15
relative error = 1.6842073585518156018997200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.296
Order of pole = 3.588
x[1] = 0.803
y[1] (analytic) = 0.60797332699419811054049436743111
y[1] (numeric) = 0.60797332699419913536982175340417
absolute error = 1.02482932738597306e-15
relative error = 1.6856485011483949628455400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.296
Order of pole = 3.587
x[1] = 0.804
y[1] (analytic) = 0.60737990884442328062895404320658
y[1] (numeric) = 0.60737990884442430530864990856509
absolute error = 1.02467969586535851e-15
relative error = 1.6870490461478600966001600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.297
Order of pole = 3.587
x[1] = 0.805
y[1] (analytic) = 0.60678691160631665174982175634472
y[1] (numeric) = 0.60678691160631767625442961800122
absolute error = 1.02450460786165650e-15
relative error = 1.6884092063712064534125000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.297
Order of pole = 3.586
x[1] = 0.806
y[1] (analytic) = 0.60619433620507796871552269712834
y[1] (numeric) = 0.60619433620507899301979013804748
absolute error = 1.02430426744091914e-15
relative error = 1.6897291945241680864330400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.298
Order of pole = 3.586
x[1] = 0.807
y[1] (analytic) = 0.60560218355923304117065324490734
y[1] (numeric) = 0.60560218355923406524953122662883
absolute error = 1.02407887798172149e-15
relative error = 1.6910092231884396286410100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.299
Order of pole = 3.586
x[1] = 0.808
y[1] (analytic) = 0.60501045458065515372105629985286
y[1] (numeric) = 0.60501045458065617754969847064777
absolute error = 1.02382864217079491e-15
relative error = 1.6922495048129887581222400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.299
Order of pole = 3.585
x[1] = 0.809
y[1] (analytic) = 0.60441915017458647152792930230084
y[1] (numeric) = 0.60441915017458749508169130105387
absolute error = 1.02355376199875303e-15
relative error = 1.6934502517054589118274300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.3
Order of pole = 3.585
x[1] = 0.81
y[1] (analytic) = 0.60382827123965944085502083207536
y[1] (numeric) = 0.60382827123966046410945958798486
absolute error = 1.02325443875590950e-15
relative error = 1.6946116760236617229500000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.301
Order of pole = 3.585
x[1] = 0.811
y[1] (analytic) = 0.60323781866791818406112970759253
y[1] (numeric) = 0.60323781866791920699200273577948
absolute error = 1.02293087302818695e-15
relative error = 1.6957339897671590989409500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.301
Order of pole = 3.585
x[1] = 0.812
y[1] (analytic) = 0.60264779334483988853426414293841
y[1] (numeric) = 0.60264779334484091111752883605457
absolute error = 1.02258326469311616e-15
relative error = 1.6968174047689341413990400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=465.4MB, alloc=4.6MB, time=72.27
Complex estimate of poles used
Radius of convergence = 1.302
Order of pole = 3.584
x[1] = 0.813
y[1] (analytic) = 0.60205819614935618906794768595922
y[1] (numeric) = 0.60205819614935721127976060188423
absolute error = 1.02221181291592501e-15
relative error = 1.6978621326871510479346900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.302
Order of pole = 3.584
x[1] = 0.814
y[1] (analytic) = 0.60146902795387454318427326903228
y[1] (numeric) = 0.60146902795387556500098941474851
absolute error = 1.02181671614571623e-15
relative error = 1.6988683849970032211330800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.303
Order of pole = 3.584
x[1] = 0.815
y[1] (analytic) = 0.60088028962429959891240667578002
y[1] (numeric) = 0.60088028962430062031057878751334
absolute error = 1.02139817211173332e-15
relative error = 1.6998363729826493844770000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.304
Order of pole = 3.584
x[1] = 0.816
y[1] (analytic) = 0.60029198202005455453532598255792
y[1] (numeric) = 0.60029198202005557549170380227188
absolute error = 1.02095637781971396e-15
relative error = 1.7007663077292374185497600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.304
Order of pole = 3.584
x[1] = 0.817
y[1] (analytic) = 0.59970410599410250982165399591841
y[1] (numeric) = 0.59970410599410353031318354424841
absolute error = 1.02049152954833000e-15
relative error = 1.7016584001150152433700000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.305
Order of pole = 3.584
x[1] = 0.818
y[1] (analytic) = 0.59911666239296780826349630105373
y[1] (numeric) = 0.59911666239296882826731914676719
absolute error = 1.02000382284571346e-15
relative error = 1.7025128608035286332090400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.306
Order of pole = 3.583
x[1] = 0.819
y[1] (analytic) = 0.59852965205675736984523818786768
y[1] (numeric) = 0.59852965205675838933869071393552
absolute error = 1.01949345252606784e-15
relative error = 1.7033299002359056304262400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.306
Order of pole = 3.583
x[1] = 0.82
y[1] (analytic) = 0.59794307581918201387227935900502
y[1] (numeric) = 0.59794307581918303283289202536875
absolute error = 1.01896061266636373e-15
relative error = 1.7041097286232267020520000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.307
Order of pole = 3.583
x[1] = 0.821
y[1] (analytic) = 0.597356934507577771392695877819
y[1] (numeric) = 0.59735693450757878979819248093742
absolute error = 1.01840549660311842e-15
relative error = 1.7048525559389809629352200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.308
Order of pole = 3.583
x[1] = 0.822
y[1] (analytic) = 0.59677122894292718674881421556809
y[1] (numeric) = 0.59677122894292820457711114482648
absolute error = 1.01782829692925839e-15
relative error = 1.7055585919116074159887600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.308
Order of pole = 3.583
x[1] = 0.823
y[1] (analytic) = 0.59618595993988060779966243950948
y[1] (numeric) = 0.59618595993988162502886793057365
absolute error = 1.01722920549106417e-15
relative error = 1.7062280460171211732019300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.309
Order of pole = 3.583
x[1] = 0.824
y[1] (analytic) = 0.59560112830677746435922848212244
y[1] (numeric) = 0.59560112830677848096764186731926
absolute error = 1.01660841338519682e-15
relative error = 1.7068611274718242160563200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.309
Order of pole = 3.583
x[1] = 0.825
y[1] (analytic) = 0.59501673484566753439940498326515
y[1] (numeric) = 0.59501673484566855036551593907042
absolute error = 1.01596611095580527e-15
relative error = 1.7074580452251002318937500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.31
Order of pole = 3.583
x[1] = 0.826
y[1] (analytic) = 0.59443278035233219757043434014395
y[1] (numeric) = 0.59443278035233321287292213185769
absolute error = 1.01530248779171374e-15
relative error = 1.7080190079522930236722400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.311
Order of pole = 3.583
x[1] = 0.827
y[1] (analytic) = 0.59384926561630567559558627471823
y[1] (numeric) = 0.593849265616306690213318998407
absolute error = 1.01461773272368877e-15
relative error = 1.7085442240476685067773300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.311
Order of pole = 3.583
x[1] = 0.828
y[1] (analytic) = 0.59326619142089625910070337639655
y[1] (numeric) = 0.5932661914208972730127371981813
absolute error = 1.01391203382178475e-15
relative error = 1.7090339016174592260440000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.312
Order of pole = 3.583
x[1] = 0.829
y[1] (analytic) = 0.59268355854320752044313764305159
y[1] (numeric) = 0.59268355854320853362871603581924
absolute error = 1.01318557839276765e-15
relative error = 1.7094882484729916825536500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.313
Order of pole = 3.583
x[1] = 0.83
y[1] (analytic) = 0.59210136775415951210847297057256
y[1] (numeric) = 0.59210136775416052454702594818849
absolute error = 1.01243855297761593e-15
relative error = 1.7099074721238955441770000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.313
Order of pole = 3.584
x[1] = 0.831
y[1] (analytic) = 0.59151961981850995024728477706513
y[1] (numeric) = 0.59151961981851096191842812616313
absolute error = 1.01167114334909800e-15
relative error = 1.7102917797713944639780000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.314
Order of pole = 3.584
x[1] = 0.832
y[1] (analytic) = 0.59093831549487538292802844067925
y[1] (numeric) = 0.59093831549487639381156295010496
absolute error = 1.01088353450942571e-15
relative error = 1.7106413783016784126790400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.315
Order of pole = 3.584
x[1] = 0.833
y[1] (analytic) = 0.59035745553575234268597292974923
y[1] (numeric) = 0.59035745553575335276188361773204
absolute error = 1.01007591068798281e-15
relative error = 1.7109564742793565140480900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.315
Order of pole = 3.584
x[1] = 0.834
y[1] (analytic) = 0.58977704068753848295190486188601
y[1] (numeric) = 0.58977704068753949220036020101401
absolute error = 1.00924845533912800e-15
relative error = 1.7112372739409905151680000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.316
Order of pole = 3.584
x[1] = 0.835
y[1] (analytic) = 0.58919707169055369794812119783765
y[1] (numeric) = 0.58919707169055470634947233790935
absolute error = 1.00840135114007170e-15
relative error = 1.7114839831887081910325000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.6MB, time=72.87
Complex estimate of poles used
Radius of convergence = 1.317
Order of pole = 3.584
x[1] = 0.836
y[1] (analytic) = 0.58861754927906122564300581083245
y[1] (numeric) = 0.58861754927906223317778579965831
absolute error = 1.00753477998882586e-15
relative error = 1.7116968075838962982505600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.317
Order of pole = 3.585
x[1] = 0.837
y[1] (analytic) = 0.58803847418128873335924622876226
y[1] (numeric) = 0.58803847418128974000816923098841
absolute error = 1.00664892300222615e-15
relative error = 1.7118759523409727216793500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.318
Order of pole = 3.585
x[1] = 0.838
y[1] (analytic) = 0.58745984711944938563449188247983
y[1] (numeric) = 0.58745984711945039137845239650561
absolute error = 1.00574396051402578e-15
relative error = 1.7120216223212372998503200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.319
Order of pole = 3.585
x[1] = 0.839
y[1] (analytic) = 0.58688166880976289393698416769322
y[1] (numeric) = 0.58688166880976389875705624075354
absolute error = 1.00482007207306032e-15
relative error = 1.7121340220268010135147200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.319
Order of pole = 3.585
x[1] = 0.84
y[1] (analytic) = 0.58630393996247654784240150093809
y[1] (numeric) = 0.58630393996247755171983794242089
absolute error = 1.00387743644148280e-15
relative error = 1.7122133555945930636800000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.32
Order of pole = 3.586
x[1] = 0.841
y[1] (analytic) = 0.58572666128188622728185928385544
y[1] (numeric) = 0.58572666128188723019809087692381
absolute error = 1.00291623159306837e-15
relative error = 1.7122598267904453598019700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.321
Order of pole = 3.586
x[1] = 0.842
y[1] (analytic) = 0.58514983346635739547468524790458
y[1] (numeric) = 0.58514983346635839741131995949243
absolute error = 1.00193663471158785e-15
relative error = 1.7122736390032540184874000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.321
Order of pole = 3.586
x[1] = 0.843
y[1] (analytic) = 0.58457345720834607216325499854149
y[1] (numeric) = 0.58457345720834707310207718779103
absolute error = 1.00093882218924954e-15
relative error = 1.7122549952392175363514600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.322
Order of pole = 3.587
x[1] = 0.844
y[1] (analytic) = 0.58399753319441978677082068005345
y[1] (numeric) = 0.58399753319442078669379030526199
absolute error = 9.9992296962520854e-16
relative error = 1.7122040981161510905494400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.323
Order of pole = 3.587
x[1] = 0.845
y[1] (analytic) = 0.58342206210527851110689750732924
y[1] (numeric) = 0.58342206210527950999614933147215
absolute error = 9.9888925182414291e-16
relative error = 1.7121211498578765513127500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.323
Order of pole = 3.587
x[1] = 0.846
y[1] (analytic) = 0.58284704461577557124838842792164
y[1] (numeric) = 0.58284704461577656908623122281768
absolute error = 9.9783784279489604e-16
relative error = 1.7120063522886878541646400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.324
Order of pole = 3.588
x[1] = 0.847
y[1] (analytic) = 0.5822724813949385382282263572626
y[1] (numeric) = 0.5822724813949395349971421064471
absolute error = 9.9676891574918450e-16
relative error = 1.7118599068278912029605000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.325
Order of pole = 3.588
x[1] = 0.848
y[1] (analytic) = 0.58169837310599009716689624362459
y[1] (numeric) = 0.58169837310599109284953934399533
absolute error = 9.9568264310037074e-16
relative error = 1.7116820144844197406169600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.325
Order of pole = 3.589
x[1] = 0.849
y[1] (analytic) = 0.58112472040636889448576564053601
y[1] (numeric) = 0.58112472040636988906496210283594
absolute error = 9.9457919646229993e-16
relative error = 1.7114728758515221818439300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.326
Order of pole = 3.589
x[1] = 0.85
y[1] (analytic) = 0.58055152394775036284470246734398
y[1] (numeric) = 0.5805515239477513563034491155443
absolute error = 9.9345874664820032e-16
relative error = 1.7112326911015250512000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.327
Order of pole = 3.59
x[1] = 0.851
y[1] (analytic) = 0.57997878437606752344999219928535
y[1] (numeric) = 0.57997878437606851577145586893178
absolute error = 9.9232146366964643e-16
relative error = 1.7109616599806680442524300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.327
Order of pole = 3.59
x[1] = 0.852
y[1] (analytic) = 0.57940650233153176538208382389751
y[1] (numeric) = 0.57940650233153275654960055948193
absolute error = 9.9116751673558442e-16
relative error = 1.7106599818040120928156800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.328
Order of pole = 3.59
x[1] = 0.853
y[1] (analytic) = 0.57883467844865360159619450929001
y[1] (numeric) = 0.57883467844865459159326876070899
absolute error = 9.8999707425141898e-16
relative error = 1.7103278554504196926188200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.329
Order of pole = 3.591
x[1] = 0.854
y[1] (analytic) = 0.57826331335626340125228703140432
y[1] (numeric) = 0.57826331335626439006259084956536
absolute error = 9.8881030381816104e-16
relative error = 1.7099654793576069770486400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.329
Order of pole = 3.591
x[1] = 0.855
y[1] (analytic) = 0.5776924076775320980344015828772
y[1] (numeric) = 0.57769240767753308564177381451293
absolute error = 9.8760737223163573e-16
relative error = 1.7095730515172672395232500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.33
Order of pole = 3.592
x[1] = 0.856
y[1] (analytic) = 0.57712196202999187412277461771441
y[1] (numeric) = 0.57712196202999286051122009946437
absolute error = 9.8638844548174996e-16
relative error = 1.7091507694702654986905600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.331
Order of pole = 3.592
x[1] = 0.857
y[1] (analytic) = 0.57655197702555681948561185713734
y[1] (numeric) = 0.57655197702555780463930060895608
absolute error = 9.8515368875181874e-16
relative error = 1.7086988303019032617742600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.331
Order of pole = 3.593
x[1] = 0.858
y[1] (analytic) = 0.57598245327054356616080047737426
y[1] (numeric) = 0.57598245327054455006406689532425
absolute error = 9.8390326641794999e-16
relative error = 1.7082174306372537264383600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.6MB, time=73.46
Complex estimate of poles used
Radius of convergence = 1.332
Order of pole = 3.594
x[1] = 0.859
y[1] (analytic) = 0.57541339136569189720124680573641
y[1] (numeric) = 0.57541339136569287983858885422323
absolute error = 9.8263734204848682e-16
relative error = 1.7077067666365663232284200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.333
Order of pole = 3.594
x[1] = 0.86
y[1] (analytic) = 0.57484479190618532996091055415038
y[1] (numeric) = 0.57484479190618631131698895765723
absolute error = 9.8135607840350685e-16
relative error = 1.7071670339907405162600000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.333
Order of pole = 3.595
x[1] = 0.861
y[1] (analytic) = 0.57427665548167167340197470770754
y[1] (numeric) = 0.57427665548167265346161214208549
absolute error = 9.8005963743437795e-16
relative error = 1.7065984279168684462719500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.334
Order of pole = 3.595
x[1] = 0.862
y[1] (analytic) = 0.57370898267628355910694164920679
y[1] (numeric) = 0.57370898267628453785512193257642
absolute error = 9.7874818028336963e-16
relative error = 1.7060011431538457333537200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.335
Order of pole = 3.596
x[1] = 0.863
y[1] (analytic) = 0.57314177406865894568278092973912
y[1] (numeric) = 0.5731417740686599231046482130587
absolute error = 9.7742186728331958e-16
relative error = 1.7053753739580502202770200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.335
Order of pole = 3.596
x[1] = 0.864
y[1] (analytic) = 0.57257503023196159624757228187182
y[1] (numeric) = 0.57257503023196257232843023922647
absolute error = 9.7608085795735465e-16
relative error = 1.7047213140990880668064000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.336
Order of pole = 3.597
x[1] = 0.865
y[1] (analytic) = 0.57200875173390152869338900885184
y[1] (numeric) = 0.5720087517339025034187000275176
absolute error = 9.7472531101866576e-16
relative error = 1.7040391568556069482760000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.337
Order of pole = 3.597
x[1] = 0.866
y[1] (analytic) = 0.57144293913675543842245176450151
y[1] (numeric) = 0.57144293913675641177783613483746
absolute error = 9.7335538437033595e-16
relative error = 1.7033290950111756177182000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.338
Order of pole = 3.598
x[1] = 0.867
y[1] (analytic) = 0.57087759299738709325685095927416
y[1] (numeric) = 0.57087759299738806522808606449527
absolute error = 9.7197123510522111e-16
relative error = 1.7025913208502296609547900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.338
Order of pole = 3.599
x[1] = 0.868
y[1] (analytic) = 0.57031271386726770022538758452034
y[1] (numeric) = 0.57031271386726867079840709040304
absolute error = 9.7057301950588270e-16
relative error = 1.7018260261540828673648000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.339
Order of pole = 3.599
x[1] = 0.869
y[1] (analytic) = 0.56974830229249624393431713671851
y[1] (numeric) = 0.56974830229249721309521018129042
absolute error = 9.6916089304457191e-16
relative error = 1.7010334021970038781275100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.34
Order of pole = 3.6
x[1] = 0.87
y[1] (analytic) = 0.56918435881381979623199954465251
y[1] (numeric) = 0.56918435881382076396700992791709
absolute error = 9.6773501038326458e-16
relative error = 1.7002136397423575406020000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.34
Order of pole = 3.601
x[1] = 0.871
y[1] (analytic) = 0.56862088396665379688065955473573
y[1] (numeric) = 0.56862088396665476317618492848202
absolute error = 9.6629552537374629e-16
relative error = 1.6993669290388105491918900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.341
Order of pole = 3.601
x[1] = 0.872
y[1] (analytic) = 0.56805787828110230495164691340071
y[1] (numeric) = 0.56805787828110326979423797114781
absolute error = 9.6484259105774710e-16
relative error = 1.6984934598166010708864000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.342
Order of pole = 3.602
x[1] = 0.873
y[1] (analytic) = 0.56749534228197822066375390223985
y[1] (numeric) = 0.56749534228197918404011356936508
absolute error = 9.6337635966712523e-16
relative error = 1.6975934212838717144146700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.342
Order of pole = 3.602
x[1] = 0.874
y[1] (analytic) = 0.56693327648882347738729933396679
y[1] (numeric) = 0.56693327648882443928428195806603
absolute error = 9.6189698262409924e-16
relative error = 1.6966670021230656710542400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.343
Order of pole = 3.603
x[1] = 0.875
y[1] (analytic) = 0.56637168141592920353982300884956
y[1] (numeric) = 0.56637168141593016394443355037744
absolute error = 9.6040461054152788e-16
relative error = 1.6957143904873851631250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.344
Order of pole = 3.604
x[1] = 0.876
y[1] (analytic) = 0.56581055757235585410235286662261
y[1] (numeric) = 0.56581055757235681300174608985992
absolute error = 9.5889939322323731e-16
relative error = 1.6947357739973122639985600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.344
Order of pole = 3.604
x[1] = 0.877
y[1] (analytic) = 0.56524990546195331148830865358038
y[1] (numeric) = 0.56524990546195426886978831797525
absolute error = 9.5738147966439487e-16
relative error = 1.6937313397371912319682300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.345
Order of pole = 3.605
x[1] = 0.878
y[1] (analytic) = 0.56468972558338095550019086512725
y[1] (numeric) = 0.56468972558338191135120891705625
absolute error = 9.5585101805192900e-16
relative error = 1.6927012742518722352360000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.346
Order of pole = 3.606
x[1] = 0.879
y[1] (analytic) = 0.56413001843012770211227202800793
y[1] (numeric) = 0.5641300184301286564204277930025
absolute error = 9.5430815576499457e-16
relative error = 1.6916457635434157395593700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.347
Order of pole = 3.606
x[1] = 0.88
y[1] (analytic) = 0.56357078449053201082055906221821
y[1] (numeric) = 0.5635707844905329635735984377014
absolute error = 9.5275303937548319e-16
relative error = 1.6905649930678573723360000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.347
Order of pole = 3.607
x[1] = 0.881
y[1] (analytic) = 0.56301202424780186030433051958691
y[1] (numeric) = 0.56301202424780281149014516816474
absolute error = 9.5118581464857783e-16
relative error = 1.6894591477320326471106300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.348
Order of pole = 3.607
memory used=476.8MB, alloc=4.7MB, time=74.06
x[1] = 0.882
y[1] (analytic) = 0.56245373818003469214657094453981
y[1] (numeric) = 0.5624537381800356417531974878911
absolute error = 9.4960662654335129e-16
relative error = 1.6883284118904612989219600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.349
Order of pole = 3.608
x[1] = 0.883
y[1] (analytic) = 0.56189592676023732236362645383547
y[1] (numeric) = 0.56189592676023827037924566724325
absolute error = 9.4801561921340778e-16
relative error = 1.6871729693422904785804200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.349
Order of pole = 3.609
x[1] = 0.884
y[1] (analytic) = 0.56133859045634582049739089823156
y[1] (numeric) = 0.56133859045634676691032690579885
absolute error = 9.4641293600756729e-16
relative error = 1.6859930033282967941742400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.35
Order of pole = 3.609
x[1] = 0.885
y[1] (analytic) = 0.5607817297312453560263006631244
y[1] (numeric) = 0.56078172973124630082502013371638
absolute error = 9.4479871947059198e-16
relative error = 1.6847886965279463835355000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.351
Order of pole = 3.61
x[1] = 0.886
y[1] (analytic) = 0.56022534504279001185436830110544
y[1] (numeric) = 0.5602253450427909550274796450596
absolute error = 9.4317311134395416e-16
relative error = 1.6835602310565127997833600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.351
Order of pole = 3.61
x[1] = 0.887
y[1] (analytic) = 0.5596694368438225646404207818694
y[1] (numeric) = 0.55966943684382350617667334851468
absolute error = 9.4153625256664528e-16
relative error = 1.6823077884622522203003200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.352
Order of pole = 3.611
x[1] = 0.888
y[1] (analytic) = 0.55911400558219423173262720961855
y[1] (numeric) = 0.55911400558219517162091048564392
absolute error = 9.3988828327602537e-16
relative error = 1.6810315497236355193612800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.353
Order of pole = 3.612
x[1] = 0.889
y[1] (analytic) = 0.55855905170078438447630341151112
y[1] (numeric) = 0.55855905170078532270564622022352
absolute error = 9.3822934280871240e-16
relative error = 1.6797316952466367926804000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.354
Order of pole = 3.612
x[1] = 0.89
y[1] (analytic) = 0.55800457563752022766586686010825
y[1] (numeric) = 0.5580045756375211642254365616193
absolute error = 9.3655956970151105e-16
relative error = 1.6784084048620779527050000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.354
Order of pole = 3.613
x[1] = 0.891
y[1] (analytic) = 0.55745057782539644491468497631671
y[1] (numeric) = 0.55745057782539737979378666869699
absolute error = 9.3487910169238028e-16
relative error = 1.6770618578230288290666800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.355
Order of pole = 3.613
x[1] = 0.892
y[1] (analytic) = 0.55689705869249480971941298594837
y[1] (numeric) = 0.55689705869249574290748870738766
absolute error = 9.3318807572143929e-16
relative error = 1.6756922328022625612385600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.356
Order of pole = 3.614
x[1] = 0.893
y[1] (analytic) = 0.55634401866200376199825419246944
y[1] (numeric) = 0.55634401866200469348488212448062
absolute error = 9.3148662793201118e-16
relative error = 1.6742997078897655634798200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.356
Order of pole = 3.614
x[1] = 0.894
y[1] (analytic) = 0.55579145815223794988539580132901
y[1] (numeric) = 0.55579145815223887966028947303296
absolute error = 9.2977489367170395e-16
relative error = 1.6728844605903019281822000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.357
Order of pole = 3.615
x[1] = 0.895
y[1] (analytic) = 0.55523937757665773656667730875474
y[1] (numeric) = 0.55523937757665866461968480228293
absolute error = 9.2805300749352819e-16
relative error = 1.6714466678210316083947500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.358
Order of pole = 3.616
x[1] = 0.896
y[1] (analytic) = 0.55468777734388867194433597216799
y[1] (numeric) = 0.55468777734388959826543912921905
absolute error = 9.2632110315705106e-16
relative error = 1.6699865059091821637849600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.358
Order of pole = 3.616
x[1] = 0.897
y[1] (analytic) = 0.55413665785774092892144503324543
y[1] (numeric) = 0.55413665785774185350075866283134
absolute error = 9.2457931362958591e-16
relative error = 1.6685041505897733994591900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.359
Order of pole = 3.617
x[1] = 0.898
y[1] (analytic) = 0.55358601951722870409941519172898
y[1] (numeric) = 0.55358601951722962692718627914615
absolute error = 9.2282777108741717e-16
relative error = 1.6669997770033947255566800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.36
Order of pole = 3.617
x[1] = 0.899
y[1] (analytic) = 0.55303586271658958268466835268867
y[1] (numeric) = 0.55303586271659050375127526974855
absolute error = 9.2106660691705988e-16
relative error = 1.6654735596940345920758800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.36
Order of pole = 3.618
x[1] = 0.9
y[1] (analytic) = 0.55248618784530386740331491712707
y[1] (numeric) = 0.55248618784530478669926663368055
absolute error = 9.1929595171655348e-16
relative error = 1.6639256726069617988000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.361
Order of pole = 3.618
x[1] = 0.901
y[1] (analytic) = 0.551936995288113871225371881349
y[1] (numeric) = 0.55193699528811478874130717813822
absolute error = 9.1751593529678922e-16
relative error = 1.6623562890866580055852200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.362
Order of pole = 3.619
x[1] = 0.902
y[1] (analytic) = 0.5513882854250431737027487808805
y[1] (numeric) = 0.55138828542504408942943546375133
absolute error = 9.1572668668287083e-16
relative error = 1.6607655818748012687713200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.363
Order of pole = 3.619
x[1] = 0.903
y[1] (analytic) = 0.5508400586314158407279020870779
y[1] (numeric) = 0.55084005863141675465623620258575
absolute error = 9.1392833411550785e-16
relative error = 1.6591537231082999904606500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.363
Order of pole = 3.62
x[1] = 0.904
y[1] (analytic) = 0.55029231527787560752271606677467
y[1] (numeric) = 0.55029231527787651964372111921592
absolute error = 9.1212100505244125e-16
relative error = 1.6575208843173770785600000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.364
Order of pole = 3.62
x[1] = 0.905
y[1] (analytic) = 0.54974505573040502466980937590193
y[1] (numeric) = 0.54974505573040593497463554580258
absolute error = 9.1030482616990065e-16
relative error = 1.6558672364237035298662500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=480.6MB, alloc=4.7MB, time=74.66
Complex estimate of poles used
Radius of convergence = 1.365
Order of pole = 3.62
x[1] = 0.906
y[1] (analytic) = 0.54919828035034456700109180618134
y[1] (numeric) = 0.5491982803503454754810151702743
absolute error = 9.0847992336409296e-16
relative error = 1.6541929497385815689145600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.365
Order of pole = 3.621
x[1] = 0.907
y[1] (analytic) = 0.54865198949441170516100466957708
y[1] (numeric) = 0.54865198949441261180742642229871
absolute error = 9.0664642175272163e-16
relative error = 1.6524981939611763261978700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.366
Order of pole = 3.621
x[1] = 0.908
y[1] (analytic) = 0.54810618351471993966447131869963
y[1] (numeric) = 0.54810618351472084446891699523592
absolute error = 9.0480444567653629e-16
relative error = 1.6507831381767961057985600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.367
Order of pole = 3.622
x[1] = 0.909
y[1] (analytic) = 0.54756086275879779727216129390822
y[1] (numeric) = 0.54756086275879870022627999482045
absolute error = 9.0295411870091223e-16
relative error = 1.6490479508552206883166300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.367
Order of pole = 3.622
x[1] = 0.91
y[1] (analytic) = 0.54701602756960778950823259121492
y[1] (numeric) = 0.54701602756960869060379620867407
absolute error = 9.0109556361745915e-16
relative error = 1.6472927998490770721150000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.368
Order of pole = 3.622
x[1] = 0.911
y[1] (analytic) = 0.54647167828556533314826159162062
y[1] (numeric) = 0.54647167828556623237716403727951
absolute error = 8.9922890244565889e-16
relative error = 1.6455178523922625616476900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.369
Order of pole = 3.623
x[1] = 0.912
y[1] (analytic) = 0.54592781524055763250759931518815
y[1] (numeric) = 0.54592781524055852986185574971967
absolute error = 8.9735425643453152e-16
relative error = 1.6437232750984145045708800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.37
Order of pole = 3.623
x[1] = 0.913
y[1] (analytic) = 0.54538443876396252336290589555124
y[1] (numeric) = 0.54538443876396341883465195988074
absolute error = 8.9547174606432950e-16
relative error = 1.6419092339594265769855000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.37
Order of pole = 3.623
x[1] = 0.914
y[1] (analytic) = 0.54484154918066727834211254682913
y[1] (numeric) = 0.54484154918066817192360359508835
absolute error = 8.9358149104825922e-16
relative error = 1.6400758943440107793511200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.371
Order of pole = 3.624
x[1] = 0.915
y[1] (analytic) = 0.54429914681108737362054184980065
y[1] (numeric) = 0.54429914681108826530415218403042
absolute error = 8.9168361033422977e-16
relative error = 1.6382234209963052891882500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.372
Order of pole = 3.624
x[1] = 0.916
y[1] (analytic) = 0.54375723197118521676338295299327
y[1] (numeric) = 0.54375723197118610654160505962148
absolute error = 8.8977822210662821e-16
relative error = 1.6363519780345272493697600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.372
Order of pole = 3.624
x[1] = 0.917
y[1] (analytic) = 0.54321580497248883555716830292321
y[1] (numeric) = 0.54321580497248972342261209104428
absolute error = 8.8786544378812107e-16
relative error = 1.6344617289496704084312300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.373
Order of pole = 3.625
x[1] = 0.918
y[1] (analytic) = 0.54267486612211052767533282249539
y[1] (numeric) = 0.54267486612211141362072486397702
absolute error = 8.8594539204148163e-16
relative error = 1.6325528366042471951601200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.374
Order of pole = 3.625
x[1] = 0.919
y[1] (analytic) = 0.54213441572276547102535508448894
y[1] (numeric) = 0.54213441572276635504353785593133
absolute error = 8.8401818277144239e-16
relative error = 1.6306254632310745463407900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.374
Order of pole = 3.625
x[1] = 0.92
y[1] (analytic) = 0.54159445407279029462738301559792
y[1] (numeric) = 0.54159445407279117671131414217048
absolute error = 8.8208393112657256e-16
relative error = 1.6286797704321035747840000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.375
Order of pole = 3.625
x[1] = 0.921
y[1] (analytic) = 0.5410549814661616098766340536759
y[1] (numeric) = 0.54105498146616249001938555485576
absolute error = 8.8014275150117986e-16
relative error = 1.6267159191772921656262600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.376
Order of pole = 3.625
x[1] = 0.922
y[1] (analytic) = 0.54051599819251450204423150516409
y[1] (numeric) = 0.5405159981925153802389890424005
absolute error = 8.7819475753723641e-16
relative error = 1.6247340698035204863584400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.376
Order of pole = 3.626
x[1] = 0.923
y[1] (analytic) = 0.53997750453716098187349515019204
y[1] (numeric) = 0.53997750453716185811355727652025
absolute error = 8.7624006212632821e-16
relative error = 1.6227343820135488756170900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.377
Order of pole = 3.626
x[1] = 0.924
y[1] (analytic) = 0.53943950078110839713104495904575
y[1] (numeric) = 0.53943950078110927140982237067351
absolute error = 8.7427877741162776e-16
relative error = 1.6207170148750176624217600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.378
Order of pole = 3.626
x[1] = 0.925
y[1] (analytic) = 0.53890198720107780397440215560795
y[1] (numeric) = 0.53890198720107867628541694549743
absolute error = 8.7231101478988948e-16
relative error = 1.6186821268194886663250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.379
Order of pole = 3.626
x[1] = 0.926
y[1] (analytic) = 0.53836496406952229800008183147454
y[1] (numeric) = 0.53836496406952316833696674494199
absolute error = 8.7033688491346745e-16
relative error = 1.6166298756415278651562000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.379
Order of pole = 3.626
x[1] = 0.927
y[1] (analytic) = 0.53782843165464530483846591969469
y[1] (numeric) = 0.53782843165464617319496361204978
absolute error = 8.6835649769235509e-16
relative error = 1.6145604184978288971346100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.38
Order of pole = 3.626
x[1] = 0.928
y[1] (analytic) = 0.53729239022041883016402462088649
y[1] (numeric) = 0.53729239022041969653398691713288
absolute error = 8.6636996229624639e-16
relative error = 1.6124739119063770411257600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.7MB, time=75.28
Complex estimate of poles used
Radius of convergence = 1.381
Order of pole = 3.626
x[1] = 0.929
y[1] (analytic) = 0.53675684002660166899171837871523
y[1] (numeric) = 0.53675684002660253336910553533348
absolute error = 8.6437738715661825e-16
relative error = 1.6103705117456532210982500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.381
Order of pole = 3.626
x[1] = 0.93
y[1] (analytic) = 0.53622178132875757413266126870073
y[1] (numeric) = 0.53622178132875843651154123753431
absolute error = 8.6237887996883358e-16
relative error = 1.6082503732538777433420000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.382
Order of pole = 3.626
x[1] = 0.931
y[1] (analytic) = 0.53568721437827338368436023679518
y[1] (numeric) = 0.53568721437827424405890793105989
absolute error = 8.6037454769426471e-16
relative error = 1.6061136510282932843043100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.383
Order of pole = 3.626
x[1] = 0.932
y[1] (analytic) = 0.53515313942237710743306304532105
y[1] (numeric) = 0.53515313942237796579755960775784
absolute error = 8.5836449656243679e-16
relative error = 1.6039604990244868842769600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.383
Order of pole = 3.626
x[1] = 0.933
y[1] (analytic) = 0.53461955670415597204795109727991
y[1] (numeric) = 0.53461955670415682839678317047057
absolute error = 8.5634883207319066e-16
relative error = 1.6017910705557503244327400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.384
Order of pole = 3.626
x[1] = 0.934
y[1] (analytic) = 0.53408646646257442494910155974612
y[1] (numeric) = 0.53408646646257527927676055861112
absolute error = 8.5432765899886500e-16
relative error = 1.5996055182924788759400000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.385
Order of pole = 3.626
x[1] = 0.935
y[1] (analytic) = 0.53355386893249209673331643746082
y[1] (numeric) = 0.53355386893249294903439782395805
absolute error = 8.5230108138649723e-16
relative error = 1.5974039942616077708967500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.385
Order of pole = 3.626
x[1] = 0.936
y[1] (analytic) = 0.53302176434468172204407450365013
y[1] (numeric) = 0.53302176434468257231327706369291
absolute error = 8.5026920256004278e-16
relative error = 1.5951866498460860193868800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.386
Order of pole = 3.626
x[1] = 0.937
y[1] (analytic) = 0.53249015292584701877400532170659
y[1] (numeric) = 0.53249015292584786700613044431903
absolute error = 8.4823212512261244e-16
relative error = 1.5929536357843873613343600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.387
Order of pole = 3.626
x[1] = 0.938
y[1] (analytic) = 0.53195903489864052549041303427306
y[1] (numeric) = 0.53195903489864137168036399300049
absolute error = 8.4618995095872743e-16
relative error = 1.5907051021700580069209200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.388
Order of pole = 3.626
x[1] = 0.939
y[1] (analytic) = 0.53142841048168139697649120140552
y[1] (numeric) = 0.53142841048168224111927243799718
absolute error = 8.4414278123659166e-16
relative error = 1.5884411984513004950468600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.388
Order of pole = 3.626
x[1] = 0.94
y[1] (analytic) = 0.53089827988957315778296878318114
y[1] (numeric) = 0.53089827988957399987368519356212
absolute error = 8.4209071641038098e-16
relative error = 1.5861620734305936139280000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.389
Order of pole = 3.626
x[1] = 0.941
y[1] (analytic) = 0.53036864333292141368701143103537
y[1] (numeric) = 0.53036864333292225372086765358439
absolute error = 8.4003385622254902e-16
relative error = 1.5838678752643479487786200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.39
Order of pole = 3.626
x[1] = 0.942
y[1] (analytic) = 0.52983950101835152095727162327988
y[1] (numeric) = 0.52983950101835235892957132942913
absolute error = 8.3797229970614925e-16
relative error = 1.5815587514625966730770000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.39
Order of pole = 3.625
x[1] = 0.943
y[1] (analytic) = 0.52931085314852621332603590103793
y[1] (numeric) = 0.52931085314852704923218108821077
absolute error = 8.3590614518717284e-16
relative error = 1.5792348488887211007971600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.391
Order of pole = 3.625
x[1] = 0.944
y[1] (analytic) = 0.52878269992216318657145757893668
y[1] (numeric) = 0.52878269992216402040694786583877
absolute error = 8.3383549028690209e-16
relative error = 1.5768963137592108708742400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.392
Order of pole = 3.625
x[1] = 0.945
y[1] (analytic) = 0.52825504153405264061488886834564
y[1] (numeric) = 0.5282550415340534723753207926246
absolute error = 8.3176043192427896e-16
relative error = 1.5745432916434581782540000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.392
Order of pole = 3.625
x[1] = 0.946
y[1] (analytic) = 0.52772787817507477904033740809619
y[1] (numeric) = 0.52772787817507560872140372638471
absolute error = 8.2968106631828852e-16
relative error = 1.5721759274635860091643200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.393
Order of pole = 3.625
x[1] = 0.947
y[1] (analytic) = 0.5272012100322172659450687971219
y[1] (numeric) = 0.52720121003221809354255778747864
absolute error = 8.2759748899035674e-16
relative error = 1.5697943654943095776426600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.394
Order of pole = 3.624
x[1] = 0.948
y[1] (analytic) = 0.52667503728859264003235891429101
y[1] (numeric) = 0.52667503728859346554215368105351
absolute error = 8.2550979476676250e-16
relative error = 1.5673987493628310258000000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.394
Order of pole = 3.624
x[1] = 0.949
y[1] (analytic) = 0.52614936012345568585936764213004
y[1] (numeric) = 0.52614936012345650927744542319344
absolute error = 8.2341807778106340e-16
relative error = 1.5649892220487668791034000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.395
Order of pole = 3.624
x[1] = 0.95
y[1] (analytic) = 0.52562417871222076215505913272011
y[1] (numeric) = 0.5256241787122215834774906092551
absolute error = 8.2132243147653499e-16
relative error = 1.5625659258841078184750000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.396
Order of pole = 3.623
x[1] = 0.951
y[1] (analytic) = 0.52509949322647908712503301563064
y[1] (numeric) = 0.52509949322647990634798162425383
absolute error = 8.1922294860862319e-16
relative error = 1.5601290025532106116591900000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
memory used=488.2MB, alloc=4.7MB, time=75.89
Complex estimate of poles used
Radius of convergence = 1.396
Order of pole = 3.623
x[1] = 0.952
y[1] (analytic) = 0.52457530383401598066205599946283
y[1] (numeric) = 0.52457530383401679778177724687228
absolute error = 8.1711972124740945e-16
relative error = 1.5576785930928216241728000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.397
Order of pole = 3.623
x[1] = 0.953
y[1] (analytic) = 0.52405161069882806338299421080186
y[1] (numeric) = 0.52405161069882887839583499089032
absolute error = 8.1501284078008846e-16
relative error = 1.5552148378921318201681400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.398
Order of pole = 3.622
x[1] = 0.954
y[1] (analytic) = 0.52352841398114041241474339778317
y[1] (numeric) = 0.52352841398114122531714131124124
absolute error = 8.1290239791345807e-16
relative error = 1.5527378766928628748361200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.398
Order of pole = 3.622
x[1] = 0.955
y[1] (analytic) = 0.5230057138374236738536368509826
y[1] (numeric) = 0.5230057138374244846421195274035
absolute error = 8.1078848267642090e-16
relative error = 1.5502478485893836713225000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.399
Order of pole = 3.622
x[1] = 0.956
y[1] (analytic) = 0.52248351042041113182467961311141
y[1] (numeric) = 0.5224835104204119404958640356091
absolute error = 8.0867118442249769e-16
relative error = 1.5477448920288575388078400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.4
Order of pole = 3.621
x[1] = 0.957
y[1] (analytic) = 0.5219618038791157340688123124526
y[1] (numeric) = 0.52196180387911654061940414480432
absolute error = 8.0655059183235172e-16
relative error = 1.5452291448114192104102800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.4
Order of pole = 3.621
x[1] = 0.958
y[1] (analytic) = 0.52144059435884707398824881476553
y[1] (numeric) = 0.52144059435884787841504173108977
absolute error = 8.0442679291632424e-16
relative error = 1.5427007440903816397993600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.401
Order of pole = 3.62
x[1] = 0.959
y[1] (analytic) = 0.52091988200122832908175889639997
y[1] (numeric) = 0.52091988200122913138163391338049
absolute error = 8.0229987501698052e-16
relative error = 1.5401598263724721816141200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.402
Order of pole = 3.62
x[1] = 0.96
y[1] (analytic) = 0.52039966694421315570358034970858
y[1] (numeric) = 0.52039966694421395587350516137469
absolute error = 8.0016992481166611e-16
relative error = 1.5376065275180975969760000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.403
Order of pole = 3.62
x[1] = 0.961
y[1] (analytic) = 0.5198799493221025400814443928608
y[1] (numeric) = 0.51987994932210333811847270793412
absolute error = 7.9803702831507332e-16
relative error = 1.5350409827416381475597200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.403
Order of pole = 3.619
x[1] = 0.962
y[1] (analytic) = 0.51936072926556160553098402238652
y[1] (numeric) = 0.51936072926556240143225490420369
absolute error = 7.9590127088181717e-16
relative error = 1.5324633266117695790734800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.404
Order of pole = 3.619
x[1] = 0.963
y[1] (analytic) = 0.51884200690163637580556707096565
y[1] (numeric) = 0.51884200690163716956830427998665
absolute error = 7.9376273720902100e-16
relative error = 1.5298736930518135957490000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.405
Order of pole = 3.618
x[1] = 0.964
y[1] (analytic) = 0.51832378235377049452235426808535
y[1] (numeric) = 0.51832378235377128614386560699645
absolute error = 7.9162151133891110e-16
relative error = 1.5272722153401158295856000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.405
Order of pole = 3.618
x[1] = 0.965
y[1] (analytic) = 0.51780605574182190060712760035729
y[1] (numeric) = 0.51780605574182269008480426177748
absolute error = 7.8947767666142019e-16
relative error = 1.5246590261104512064327500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.406
Order of pole = 3.617
x[1] = 0.966
y[1] (analytic) = 0.51728882718207945970216578486165
y[1] (numeric) = 0.51728882718208024703348170166123
absolute error = 7.8733131591679958e-16
relative error = 1.5220342573524566088744800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.407
Order of pole = 3.617
x[1] = 0.967
y[1] (analytic) = 0.51677209678727955148316175638433
y[1] (numeric) = 0.51677209678728033666567295462382
absolute error = 7.8518251119823949e-16
relative error = 1.5193980404120900564646100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.407
Order of pole = 3.616
x[1] = 0.968
y[1] (analytic) = 0.51625586466662261283288178153704
y[1] (numeric) = 0.5162558646666233958642257360345
absolute error = 7.8303134395449746e-16
relative error = 1.5167505059921164879590400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.408
Order of pole = 3.616
x[1] = 0.969
y[1] (analytic) = 0.5157401309257896368209572033682
y[1] (numeric) = 0.51574013092579041769885219590272
absolute error = 7.8087789499253452e-16
relative error = 1.5140917841526197254337200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.409
Order of pole = 3.615
x[1] = 0.97
y[1] (analytic) = 0.51522489566695862744087794322222
y[1] (numeric) = 0.51522489566695940616312242338102
absolute error = 7.7872224448015880e-16
relative error = 1.5114220043115402149200000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.409
Order of pole = 3.615
x[1] = 0.971
y[1] (analytic) = 0.51471015898882101005692179648257
y[1] (numeric) = 0.51471015898882178662139374515888
absolute error = 7.7656447194867631e-16
relative error = 1.5087412952452382307967100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.41
Order of pole = 3.614
x[1] = 0.972
y[1] (analytic) = 0.51419592098659799751540530979276
y[1] (numeric) = 0.51419592098659877192006160534149
absolute error = 7.7440465629554873e-16
relative error = 1.5060497850890824413243200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.411
Order of pole = 3.613
x[1] = 0.973
y[1] (analytic) = 0.51368218175205691187628067388938
y[1] (numeric) = 0.51368218175205768411915646094723
absolute error = 7.7224287578705785e-16
relative error = 1.5033476013380633412726500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.411
Order of pole = 3.613
x[1] = 0.974
y[1] (analytic) = 0.51316894137352746172272866294859
y[1] (numeric) = 0.51316894137352823180193672392497
absolute error = 7.7007920806097638e-16
relative error = 1.5006348708474312082728800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.412
Order of pole = 3.612
memory used=492.1MB, alloc=4.7MB, time=76.50
x[1] = 0.975
y[1] (analytic) = 0.512656199935917975008010253124
y[1] (numeric) = 0.512656199935918742921740382369
absolute error = 7.6791373012924500e-16
relative error = 1.4979117198333585281250000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.413
Order of pole = 3.612
x[1] = 0.976
y[1] (analytic) = 0.51214395752073158740043921465797
y[1] (numeric) = 0.5121439575207323531469575953132
absolute error = 7.6574651838065523e-16
relative error = 1.4951782738736262663724800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.413
Order of pole = 3.611
x[1] = 0.977
y[1] (analytic) = 0.5116322142060823860889247486223
y[1] (numeric) = 0.51163221420608314966657333216033
absolute error = 7.6357764858353803e-16
relative error = 1.4924346579083340022378700000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.414
Order of pole = 3.61
x[1] = 0.978
y[1] (analytic) = 0.51112097006671150901310718615639
y[1] (numeric) = 0.51112097006671227042030307461413
absolute error = 7.6140719588845774e-16
relative error = 1.4896809962406333529861600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.415
Order of pole = 3.61
x[1] = 0.979
y[1] (analytic) = 0.51061022517400319948367094030405
y[1] (numeric) = 0.51061022517400395871890577121528
absolute error = 7.5923523483091123e-16
relative error = 1.4869174125374846201924300000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.415
Order of pole = 3.609
x[1] = 0.98
y[1] (analytic) = 0.51009997959600081615996735360131
y[1] (numeric) = 0.51009997959600157322180668763326
absolute error = 7.5706183933403195e-16
relative error = 1.4841440298304362347800000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.416
Order of pole = 3.609
x[1] = 0.981
y[1] (analytic) = 0.50959023339742279835361587393961
y[1] (numeric) = 0.50959023339742355324069858523826
absolute error = 7.5488708271129865e-16
relative error = 1.4813609705164267301126500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.417
Order of pole = 3.608
x[1] = 0.982
y[1] (analytic) = 0.50908098663967858662827517252755
y[1] (numeric) = 0.50908098663967933933931284177607
absolute error = 7.5271103766924852e-16
relative error = 1.4785683563586089298004800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.417
Order of pole = 3.607
x[1] = 0.983
y[1] (analytic) = 0.50857223938088449866728644670239
y[1] (numeric) = 0.50857223938088524920106275689698
absolute error = 7.5053377631019459e-16
relative error = 1.4757663084871962101765100000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.418
Order of pole = 3.607
x[1] = 0.984
y[1] (analytic) = 0.50806399167587956038238928269493
y[1] (numeric) = 0.50806399167588030873775941764198
absolute error = 7.4835537013494705e-16
relative error = 1.4729549474003303408448000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.419
Order of pole = 3.606
x[1] = 0.985
y[1] (analytic) = 0.50755624357624129223819614511033
y[1] (numeric) = 0.50755624357624203841408619064867
absolute error = 7.4617589004553834e-16
relative error = 1.4701343929649707759265000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.419
Order of pole = 3.605
x[1] = 0.986
y[1] (analytic) = 0.50704899513030145076858486681851
y[1] (numeric) = 0.50704899513030219476399121477028
absolute error = 7.4399540634795177e-16
relative error = 1.4673047644178050889869200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.42
Order of pole = 3.605
x[1] = 0.987
y[1] (analytic) = 0.50654224638316172526262949119351
y[1] (numeric) = 0.50654224638316246707661824604689
absolute error = 7.4181398875485338e-16
relative error = 1.4644661803661801423412200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.421
Order of pole = 3.604
x[1] = 0.988
y[1] (analytic) = 0.50603599737670938959913852431807
y[1] (numeric) = 0.50603599737671012923084491264499
absolute error = 7.3963170638832692e-16
relative error = 1.4616187587890539129964800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.422
Order of pole = 3.603
x[1] = 0.989
y[1] (analytic) = 0.50553024814963290921030614406298
y[1] (numeric) = 0.50553024814963364665893392667466
absolute error = 7.3744862778261168e-16
relative error = 1.4587626170379675990532800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.422
Order of pole = 3.603
x[1] = 0.99
y[1] (analytic) = 0.50502499873743750315640624210898
y[1] (numeric) = 0.5050249987374382384212271289519
absolute error = 7.3526482088684292e-16
relative error = 1.4558978718380376658920000000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.423
Order of pole = 3.602
x[1] = 0.991
y[1] (analytic) = 0.50452024917246066129487140031109
y[1] (numeric) = 0.50452024917246139437522446810583
absolute error = 7.3308035306779474e-16
relative error = 1.4530246392889676660539400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.424
Order of pole = 3.601
x[1] = 0.992
y[1] (analytic) = 0.50401599948388761652849908067482
y[1] (numeric) = 0.50401599948388834742379019330006
absolute error = 7.3089529111262524e-16
relative error = 1.4501430348660796841753600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.424
Order of pole = 3.601
x[1] = 0.993
y[1] (analytic) = 0.50351224969776677211891549503562
y[1] (numeric) = 0.50351224969776750082861672665914
absolute error = 7.2870970123162352e-16
relative error = 1.4472531734213646602724800000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.425
Order of pole = 3.6
x[1] = 0.994
y[1] (analytic) = 0.50300899983702508405280387276689
y[1] (numeric) = 0.5030089998370258105764529337255
absolute error = 7.2652364906095861e-16
relative error = 1.4443551691845519111899600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.426
Order of pole = 3.599
x[1] = 0.995
y[1] (analytic) = 0.50250624992148339844976821899222
y[1] (numeric) = 0.50250624992148412278696788442219
absolute error = 7.2433719966542997e-16
relative error = 1.4414491357641972760492500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.426
Order of pole = 3.599
x[1] = 0.996
y[1] (analytic) = 0.50200399996787174400205620838387
y[1] (numeric) = 0.50200399996787246615247374960321
absolute error = 7.2215041754121934e-16
relative error = 1.4385351861487895847894400000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.427
Order of pole = 3.598
x[1] = 0.997
y[1] (analytic) = 0.50150224998984457943770564726639
y[1] (numeric) = 0.50150224998984529940107226591023
absolute error = 7.1996336661864384e-16
relative error = 1.4356134327078753847545600000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.428
Order of pole = 3.597
x[1] = 0.998
y[1] (analytic) = 0.501000999997995996000008016016
y[1] (numeric) = 0.50100099999799671377611828092603
memory used=495.9MB, alloc=4.7MB, time=77.09
absolute error = 7.1777611026491003e-16
relative error = 1.4326839871932014795201200000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.428
Order of pole = 3.597
x[1] = 0.999
y[1] (analytic) = 0.50050024999987487493750003128127
y[1] (numeric) = 0.50050024999987559052621131815002
absolute error = 7.1558871128686875e-16
relative error = 1.4297469607398750493687500000000e-13 %
Correct digits = 14
h = 0.001
TOP MAIN SOLVE Loop
Complex estimate of poles used
Radius of convergence = 1.429
Order of pole = 3.596
x[1] = 1
y[1] (analytic) = 0.5
y[1] (numeric) = 0.50000000000000071340123193377069
absolute error = 7.1340123193377069e-16
relative error = 1.4268024638675413800000000000000e-13 %
Correct digits = 14
h = 0.001
Finished!
diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0);
Iterations = 3000
Total Elapsed Time = 1 Minutes 17 Seconds
Elapsed Time(since restart) = 1 Minutes 17 Seconds
Time to Timeout = 1 Minutes 42 Seconds
Percent Done = 100 %
> quit
memory used=496.2MB, alloc=4.7MB, time=77.15